Table of contents 目次

10147+3

c137

name 名前JMB
date 日付November 4, 2006 15:05:14 UTC 2006 年 11 月 5 日 (日) 0 時 5 分 14 秒 (日本時間)
composite number 合成数
21029083294262633671806153503575132464951006198960260283809320282565328457608252837898295818594576069027076635542747249450985536866013131<137>
prime factors 素因数
33108811339229359436324412647303299386888839796775859569<56>
635150657593861735194302722673849771111790656208078860699275923576820452341058299<81>
factorization results 素因数分解の結果
Number: N
N=21029083294262633671806153503575132464951006198960260283809320282565328457608252837898295818594576069027076635542747249450985536866013131
  ( 137 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=33108811339229359436324412647303299386888839796775859569 (pp56)
 r2=635150657593861735194302722673849771111790656208078860699275923576820452341058299 (pp81)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 49.41 hours.
Scaled time: 41.85 units (timescale=0.847).
Factorization parameters were as follows:
name: 10^147+3
n: 21029083294262633671806153503575132464951006198960260283809320282565328457608252837898295818594576069027076635542747249450985536866013131
skew: 3
c5: 100
c4: 0
c3: 0
c2: 0
c1: 0
c0: 3
m: 100000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
qintsize: 25000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [750000, 750000)
Primes: RFBsize:114155, AFBsize:114062, largePrimes:2364569 encountered
Relations: rels:2647538, finalFF:270674
Max relations in full relation-set: 28
Initial matrix: 228281 x 270674 with sparse part having weight 33459960.
Pruned matrix : 216513 x 217718 with weight 25537184.
Total sieving time: 46.63 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,25,25,46,46,2.3,2.3,100000
total time: 49.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
WinXP Pro, Cygwin

10148+3

c126

name 名前JMB
date 日付November 6, 2006 05:16:18 UTC 2006 年 11 月 6 日 (月) 14 時 16 分 18 秒 (日本時間)
composite number 合成数
392330634414488974731222398448381945764017396400978605812774161961346108149639752235416711259679426819944874434795840080452147<126>
prime factors 素因数
10179078449976201273125762528418361136218099<44>
38542844162420837355114416087578812267010926136810640691082927212474664077128617153<83>
factorization results 素因数分解の結果
Number: N
N=392330634414488974731222398448381945764017396400978605812774161961346108149639752235416711259679426819944874434795840080452147
  ( 126 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=10179078449976201273125762528418361136218099 (pp44)
 r2=38542844162420837355114416087578812267010926136810640691082927212474664077128617153 (pp83)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 57.98 hours.
Scaled time: 52.13 units (timescale=0.899).
Factorization parameters were as follows:
name: 10^148+3
n: 392330634414488974731222398448381945764017396400978605812774161961346108149639752235416711259679426819944874434795840080452147
skew: 1
c5: 1000
c4: 0
c3: 0
c2: 0
c1: 0
c0: 3
m: 100000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
qintsize: 25000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [750000, 3225001)
Primes: RFBsize:114155, AFBsize:114347, largePrimes:2340638 encountered
Relations: rels:2602625, finalFF:264638
Max relations in full relation-set: 28
Initial matrix: 228568 x 264638 with sparse part having weight 32674494.
Pruned matrix : 218631 x 219837 with weight 25690126.
Total sieving time: 55.13 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 2.20 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,25,25,46,46,2.3,2.3,100000
total time: 57.98 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
WinXP Pro, Cygwin

10149+3

c126

name 名前JMB
date 日付November 5, 2006 15:25:33 UTC 2006 年 11 月 6 日 (月) 0 時 25 分 33 秒 (日本時間)
composite number 合成数
201933913071424982554443486097022358534765620531438813704184687647223109961384571952249796471679166183336866840352357634760173<126>
prime factors 素因数
384564861922004165543203544546821681061<39>
525097150223725778038006971456374587050144448028021793732567240767742167666853365031593<87>
factorization results 素因数分解の結果
GMP-ECM 6.0.1
B1: 11000000
Sigma: 1044949713

r1: 384564861922004165543203544546821681061 (PRP-39)
r2: 525097150223725778038006971456374587050144448028021793732567240767742167666853365031593 (PRP-87)
execution environment 実行環境
WinXP

10150+3

c132

name 名前JMB
date 日付November 6, 2006 13:51:42 UTC 2006 年 11 月 6 日 (月) 22 時 51 分 42 秒 (日本時間)
composite number 合成数
220185196899808391220278424731994458406334096942740234561275226231125986856866486145907394280837878238350277133007976381084084192557<132>
prime factors 素因数
1312781142610220555791731442886796814088531285959604282653<58>
167724222837335381788066096688395065923446964535816909617221682818743071569<75>
factorization results 素因数分解の結果
Number: N
N=220185196899808391220278424731994458406334096942740234561275226231125986856866486145907394280837878238350277133007976381084084192557
  ( 132 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1312781142610220555791731442886796814088531285959604282653 (pp58)
 r2=167724222837335381788066096688395065923446964535816909617221682818743071569 (pp75)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 48.22 hours.
Scaled time: 44.70 units (timescale=0.927).
Factorization parameters were as follows:
name: 10^148+3
n: 220185196899808391220278424731994458406334096942740234561275226231125986856866486145907394280837878238350277133007976381084084192557
skew: 1
c5: 1
c4: 0
c3: 0
c2: 0
c1: 0
c0: 3
m: 1000000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [1000000, 2050001)
Primes: RFBsize:148933, AFBsize:148825, largePrimes:2182381 encountered
Relations: rels:2406623, finalFF:361245
Max relations in full relation-set: 28
Initial matrix: 297822 x 361245 with sparse part having weight 30716807.
Pruned matrix : 259122 x 260675 with weight 20259735.
Total sieving time: 45.43 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 2.21 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000
total time: 48.22 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Stage-1 distributed across a half dozen systems with 6 hours total clock-time. 
Stage-2 run under WinXP Pro & Cygwin.

10153+3

c150

name 名前JMB
date 日付November 6, 2006 23:36:49 UTC 2006 年 11 月 7 日 (火) 8 時 36 分 49 秒 (日本時間)
composite number 合成数
514668039114770972722593926917138445702521873391662377766340710241893978383942357179619145651055069480185280494081317550180133813690169840452907874421<150>
prime factors 素因数
376761827601512787036094285501223811506077<42>
1366030211688845889671647585845412059913391266235993559996651995578056259930708624299661596143715652351500473<109>
factorization results 素因数分解の結果
Number: N
N=514668039114770972722593926917138445702521873391662377766340710241893978383942357179619145651055069480185280494081317550180133813690169840452907874421
  ( 150 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=376761827601512787036094285501223811506077 (pp42)
 r2=1366030211688845889671647585845412059913391266235993559996651995578056259930708624299661596143715652351500473 (pp109)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 43.84 hours.
Scaled time: 39.81 units (timescale=0.908).
Factorization parameters were as follows:
name: 10^153+3
n: 514668039114770972722593926917138445702521873391662377766340710241893978383942357179619145651055069480185280494081317550180133813690169840452907874421
skew: 1
c5: 1000
c4: 0
c3: 0
c2: 0
c1: 0
c0: 3
m: 1000000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [1000000, 1840001)
Primes: RFBsize:148933, AFBsize:149150, largePrimes:2192600 encountered
Relations: rels:2396730, finalFF:336011
Max relations in full relation-set: 28
Initial matrix: 298149 x 336011 with sparse part having weight 30541850.
Pruned matrix : 283874 x 285428 with weight 23315534.
Total sieving time: 40.28 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 3.09 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000
total time: 43.84 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Stage-1: distributed across a half dozen systems
Stage-2: WinXP Pro + Cygwin

10154+3

c138

name 名前JMB
date 日付November 7, 2006 02:14:52 UTC 2006 年 11 月 7 日 (火) 11 時 14 分 52 秒 (日本時間)
composite number 合成数
360399024222921909270235911303974311261988445519545605666583983972180980784491046755349332963748845118776491140122019197845700079530778267<138>
prime factors 素因数
149423443005462551721301379502643750647745574130417390277014997318813<69>
2411930932482573111391518332280642017351271749416029057705410264299159<70>
factorization results 素因数分解の結果
Number: Job
N=360399024222921909270235911303974311261988445519545605666583983972180980784491046755349332963748845118776491140122019197845700079530778267
  ( 138 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=149423443005462551721301379502643750647745574130417390277014997318813 (pp69)
 r2=2411930932482573111391518332280642017351271749416029057705410264299159 (pp70)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 45.44 hours.
Scaled time: 79.88 units (timescale=1.758).
Factorization parameters were as follows:
name: 10^154+3
n: 360399024222921909270235911303974311261988445519545605666583983972180980784491046755349332963748845118776491140122019197845700079530778267
skew: 1
c5: 10000
c4: 0
c3: 0
c2: 0
c1: 0
c0: 3
m: 1000000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [1000000, 1860001)
Primes: RFBsize:148933, AFBsize:148285, largePrimes:2191969 encountered
Relations: rels:2400183, finalFF:341909
Max relations in full relation-set: 28
Initial matrix: 297282 x 341909 with sparse part having weight 30111148.
Pruned matrix : 280747 x 282297 with weight 22030937.
Total sieving time: 43.61 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.66 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000
total time: 45.44 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Stage-1 distributed across 7 systems
Stage-2 WinXP Pro + Cygwin

10158+3

c147

name 名前JMB
date 日付November 7, 2006 16:46:08 UTC 2006 年 11 月 8 日 (水) 1 時 46 分 8 秒 (日本時間)
composite number 合成数
686340925714619629813773407842849504154136513898346137695447647130283089746715169548133228993215230649747386989970687059844292811941864550032875137<147>
prime factors 素因数
56562887171939352687533078968873450917397<41>
12134121153120891677860517234609605899226468109948574988494138769478971577913168918124640360449818429183421<107>
factorization results 素因数分解の結果
Number: Job
N=686340925714619629813773407842849504154136513898346137695447647130283089746715169548133228993215230649747386989970687059844292811941864550032875137
  ( 147 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=56562887171939352687533078968873450917397 (pp41)
 r2=12134121153120891677860517234609605899226468109948574988494138769478971577913168918124640360449818429183421 (pp107)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 73.73 hours.
Scaled time: 136.77 units (timescale=1.855).
Factorization parameters were as follows:
name: 10^158+3
n: 686340925714619629813773407842849504154136513898346137695447647130283089746715169548133228993215230649747386989970687059844292811941864550032875137
skew: 1
c5: 1000
c4: 0
c3: 0
c2: 0
c1: 0
c0: 3
m: 10000000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [1000000, 2480001)
Primes: RFBsize:148933, AFBsize:149150, largePrimes:2286233 encountered
Relations: rels:2556588, finalFF:336729
Max relations in full relation-set: 28
Initial matrix: 298149 x 336729 with sparse part having weight 39120057.
Pruned matrix : 285932 x 287486 with weight 31441874.
Total sieving time: 71.27 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000
total time: 73.73 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Stage-1: Distributed sieving across a half dozen systems
Stage-2: WinXP Pro + Cygwin

10159+3

c134

name 名前JMB
date 日付November 8, 2006 05:06:49 UTC 2006 年 11 月 8 日 (水) 14 時 6 分 49 秒 (日本時間)
composite number 合成数
33069228516066127828095467188710501944989981714508049208067552235661273476089033705608855208287520512577078328935684044968578266957379<134>
prime factors 素因数
365088561996659184739622906690610283957025786636979183011<57>
90578648466036397927895461652215642063389691714124448760625362551232618315489<77>
factorization results 素因数分解の結果
Number: Job
N=33069228516066127828095467188710501944989981714508049208067552235661273476089033705608855208287520512577078328935684044968578266957379
  ( 134 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=365088561996659184739622906690610283957025786636979183011 (pp57)
 r2=90578648466036397927895461652215642063389691714124448760625362551232618315489 (pp77)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 67.02 hours.
Scaled time: 123.99 units (timescale=1.850).
Factorization parameters were as follows:
name: 10^159+3
n: 33069228516066127828095467188710501944989981714508049208067552235661273476089033705608855208287520512577078328935684044968578266957379
skew: 1
c5: 10000
c4: 0
c3: 0
c2: 0
c1: 0
c0: 3
m: 10000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [1250000, 2510001)
Primes: RFBsize:183072, AFBsize:182136, largePrimes:3638522 encountered
Relations: rels:3804343, finalFF:422771
Max relations in full relation-set: 28
Initial matrix: 365272 x 422771 with sparse part having weight 42045423.
Pruned matrix : 343496 x 345386 with weight 31618122.
Total sieving time: 63.83 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.94 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,2500000,2500000,26,26,47,47,2.3,2.3,100000
total time: 67.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Stage-1: Distributed sieving
Stage-2: WinXP Pro + Cygwin

Total clock time to factor, 12 hours and 5 minutes.

10161+3

c133

name 名前JMB
date 日付November 8, 2006 18:33:30 UTC 2006 年 11 月 9 日 (木) 3 時 33 分 30 秒 (日本時間)
composite number 合成数
9091602483434276582331722452653348048116352758006019425620053354886938383960657549356599224903299469115788497391900843527220038162003<133>
prime factors 素因数
55689458843269071823219640216823151<35>
31215643436669954814773315727432097321<38>
5229921251194894076800387430777663894801697083886414650870293<61>
factorization results 素因数分解の結果
Number: Job
N=9091602483434276582331722452653348048116352758006019425620053354886938383960657549356599224903299469115788497391900843527220038162003
  ( 133 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=55689458843269071823219640216823151 (pp35)
 r2=31215643436669954814773315727432097321 (pp38)
 r3=5229921251194894076800387430777663894801697083886414650870293 (pp61)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 72.01 hours.
Scaled time: 131.70 units (timescale=1.829).
Factorization parameters were as follows:
name: 10^161+3
n: 9091602483434276582331722452653348048116352758006019425620053354886938383960657549356599224903299469115788497391900843527220038162003
skew: 1
c5: 10
c4: 0
c3: 0
c2: 0
c1: 0
c0: 3
m: 100000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [1250000, 2670001)
Primes: RFBsize:183072, AFBsize:183096, largePrimes:3724852 encountered
Relations: rels:3939067, finalFF:424694
Max relations in full relation-set: 28
Initial matrix: 366234 x 424694 with sparse part having weight 49131957.
Pruned matrix : 345897 x 347792 with weight 38131203.
Total sieving time: 68.36 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.38 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,2500000,2500000,26,26,47,47,2.3,2.3,100000
total time: 72.01 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Stage-1 distributed sieving, stage-2 WinXP Pro + Cygwin

10163+3

c157

name 名前JMB
date 日付November 9, 2006 12:58:34 UTC 2006 年 11 月 9 日 (木) 21 時 58 分 34 秒 (日本時間)
composite number 合成数
1575133803678788003843956534497714244580791526788221842474963641973976584375901271873292456510949463879582910869321071651734135685491143258891984726872586009<157>
prime factors 素因数
117231589899843222398103253015079733333423108013<48>
13436086681281923664269307468592392032596002915199098937195994818328776362541162076537167449224244474925441693<110>
factorization results 素因数分解の結果
Number: Job
N=1575133803678788003843956534497714244580791526788221842474963641973976584375901271873292456510949463879582910869321071651734135685491143258891984726872586009
  ( 157 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=117231589899843222398103253015079733333423108013 (pp48)
 r2=13436086681281923664269307468592392032596002915199098937195994818328776362541162076537167449224244474925441693 (pp110)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 82.88 hours.
Scaled time: 151.59 units (timescale=1.829).
Factorization parameters were as follows:
name: 10^163+3
n: 1575133803678788003843956534497714244580791526788221842474963641973976584375901271873292456510949463879582910869321071651734135685491143258891984726872586009
skew: 2
c5: 1000
c4: 0
c3: 0
c2: 0
c1: 0
c0: 3
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 3140001)
Primes: RFBsize:216816, AFBsize:216791, largePrimes:5926753 encountered
Relations: rels:5958971, finalFF:493581
Max relations in full relation-set: 28
Initial matrix: 433673 x 493581 with sparse part having weight 56882975.
Pruned matrix : 410829 x 413061 with weight 45472614.
Total sieving time: 78.17 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.35 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 82.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Distributed stage-1 sieving, stage-2 on WinXP Pro + Cygwin

10164+3

c145

name 名前JMB
date 日付November 10, 2006 13:18:50 UTC 2006 年 11 月 10 日 (金) 22 時 18 分 50 秒 (日本時間)
composite number 合成数
1290611301114084388660783119477994372937028016800687221470364447812500253084007981362043316535746405003945717855762764937726394301548860221530261<145>
prime factors 素因数
4075389007177818510425958607451799493<37>
316684198450990245853796446126980851388377309015444532754266605694332398770449162432993865124395996668140177<108>
factorization results 素因数分解の結果
Number: Job
N=1290611301114084388660783119477994372937028016800687221470364447812500253084007981362043316535746405003945717855762764937726394301548860221530261
  ( 145 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=4075389007177818510425958607451799493 (pp37)
 r2=316684198450990245853796446126980851388377309015444532754266605694332398770449162432993865124395996668140177 (pp108)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 100.00 hours.
Scaled time: 183.40 units (timescale=1.834).
Factorization parameters were as follows:
name: 10164+3
n: 1290611301114084388660783119477994372937028016800687221470364447812500253084007981362043316535746405003945717855762764937726394301548860221530261
skew: 2
c5: 10000
c4: 0
c3: 0
c2: 0
c1: 0
c0: 3
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 3560001)
Primes: RFBsize:216816, AFBsize:215581, largePrimes:6043156 encountered
Relations: rels:6143733, finalFF:509004
Max relations in full relation-set: 28
Initial matrix: 432461 x 509004 with sparse part having weight 61390523.
Pruned matrix : 403943 x 406169 with weight 47820336.
Total sieving time: 95.02 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 4.55 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 100.00 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
XP Pro + Cygwin

10170+3

c126

name 名前Wataru Sakai
date 日付March 19, 2007 12:38:18 UTC 2007 年 3 月 19 日 (月) 21 時 38 分 18 秒 (日本時間)
composite number 合成数
132736610423105489203615824508115113222667697570220537023848425848655286731738276401186661570285641318884845883106196640469583<126>
prime factors 素因数
979614353591462245935054061765020517<36>
135498841902904458414080769423196258648267894198367246061470273791512538221196685877755299<90>
factorization results 素因数分解の結果
Input number is 132736610423105489203615824508115113222667697570220537023848425848655286731738276401186661570285641318884845883106196640469583 (126 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2556236900
Step 1 took 260198ms
Step 2 took 84496ms
********** Factor found in step 2: 979614353591462245935054061765020517
Found probable prime factor of 36 digits: 979614353591462245935054061765020517
Probable prime cofactor 135498841902904458414080769423196258648267894198367246061470273791512538221196685877755299 has 90 digits
software ソフトウェア
GMP-ECM 6.1.1

10171+3

c146

name 名前matsui
date 日付June 21, 2008 22:26:04 UTC 2008 年 6 月 22 日 (日) 7 時 26 分 4 秒 (日本時間)
composite number 合成数
84987014076113040368276240003085477274619465136310452297603910182168194570059311533447910927491502082842012464686661684313334515329656218133967641<146>
prime factors 素因数
3324774752229019712326210320791873479173334110257<49>
25561735879742056874997330779164365467172026436929398740217995340496906772469307561544143733079913<98>
factorization results 素因数分解の結果
N=84987014076113040368276240003085477274619465136310452297603910182168194570059311533447910927491502082842012464686661684313334515329656218133967641
  ( 146 digits)

SNFS difficulty: 171 digits.

Divisors found:

 r1=3324774752229019712326210320791873479173334110257 (pp49)

 r2=25561735879742056874997330779164365467172026436929398740217995340496906772469307561544143733079913 (pp98)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 141.52 hours.

Scaled time: 192.33 units (timescale=1.359).

Factorization parameters were as follows:

n: 84987014076113040368276240003085477274619465136310452297603910182168194570059311533447910927491502082842012464686661684313334515329656218133967641
m: 10000000000000000000000000000000000
c5: 10
c0: 3
skew: 0.79
type: snfs



Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 8500001)

Primes: RFBsize:412849, AFBsize:412801, largePrimes:6211987 encountered

Relations: rels:6507104, finalFF:950866

Max relations in full relation-set: 28

Initial matrix: 825716 x 950866 with sparse part having weight 68018418.

Pruned matrix : 726189 x 730381 with weight 51238543.

Total sieving time: 129.70 hours.

Total relation processing time: 0.16 hours.

Matrix solve time: 11.39 hours.

Time per square root: 0.27 hours.

Prototype def-par.txt line would be:

snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 141.52 hours.

10172+3

c163

name 名前Wataru Sakai
date 日付December 5, 2008 12:11:43 UTC 2008 年 12 月 5 日 (金) 21 時 11 分 43 秒 (日本時間)
composite number 合成数
2865413753595232129398903356928690817897991056612143717989082187335148180002496503194474860373667312145337549589856896300037556662872859812044497192419895088394199<163>
prime factors 素因数
6217133466469352588076049198728375528009389334759580516393<58>
460889856884875870260428947472281235450995348075280309946390712729504236795643811044642178283027609350143<105>
factorization results 素因数分解の結果
Number: 10003_172
N=2865413753595232129398903356928690817897991056612143717989082187335148180002496503194474860373667312145337549589856896300037556662872859812044497192419895088394199
  ( 163 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=6217133466469352588076049198728375528009389334759580516393 (pp58)
 r2=460889856884875870260428947472281235450995348075280309946390712729504236795643811044642178283027609350143 (pp105)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 103.49 hours.
Scaled time: 208.53 units (timescale=2.015).
Factorization parameters were as follows:
n: 2865413753595232129398903356928690817897991056612143717989082187335148180002496503194474860373667312145337549589856896300037556662872859812044497192419895088394199
m: 20000000000000000000000000000000000
deg: 5
c5: 25
c0: 24
skew: 0.99
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 5550001)
Primes: RFBsize:367900, AFBsize:368047, largePrimes:10352551 encountered
Relations: rels:11115160, finalFF:896590
Max relations in full relation-set: 32
Initial matrix: 736012 x 896590 with sparse part having weight 113714104.
Pruned matrix : 642276 x 646020 with weight 89259004.
Total sieving time: 98.38 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 4.75 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 103.49 hours.
 --------- CPU info (if available) ----------

10173+3

c156

name 名前Wataru Sakai
date 日付March 20, 2007 12:19:54 UTC 2007 年 3 月 20 日 (火) 21 時 19 分 54 秒 (日本時間)
composite number 合成数
308484759597667988554116646354967725673861774044500348263230511188620543476548755683045184539707054373857537220569851298862133916604153856884206796338417003<156>
prime factors 素因数
4654165597283817538340682232414823<34>
66281431794713202969955544003490886754601337940508012963182198582216786419780605860128839549004095099134596062756894253661<122>
factorization results 素因数分解の結果
Input number is 308484759597667988554116646354967725673861774044500348263230511188620543476548755683045184539707054373857537220569851298862133916604153856884206796338417003 (156 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3230671133
Step 1 took 411971ms
Step 2 took 119043ms
********** Factor found in step 2: 4654165597283817538340682232414823
Found probable prime factor of 34 digits: 4654165597283817538340682232414823
Probable prime cofactor 66281431794713202969955544003490886754601337940508012963182198582216786419780605860128839549004095099134596062756894253661 has 122 digits
software ソフトウェア
GMP-ECM 6.1.1

10174+3

c133

name 名前Wataru Sakai
date 日付December 3, 2008 14:52:47 UTC 2008 年 12 月 3 日 (水) 23 時 52 分 47 秒 (日本時間)
composite number 合成数
1574199553166367063490716266281627928450579326253662047596012772199672959419105319917606262631145066135089965093226907594743043359813<133>
prime factors 素因数
291422925891151054317621660625168167319857245759119095307699<60>
5401769776185501645973607904479822156071281325941785500003058562905410087<73>
factorization results 素因数分解の結果
Number: 10003_174
N=1574199553166367063490716266281627928450579326253662047596012772199672959419105319917606262631145066135089965093226907594743043359813
  ( 133 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=291422925891151054317621660625168167319857245759119095307699 (pp60)
 r2=5401769776185501645973607904479822156071281325941785500003058562905410087 (pp73)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 123.13 hours.
Scaled time: 229.88 units (timescale=1.867).
Factorization parameters were as follows:
n: 1574199553166367063490716266281627928450579326253662047596012772199672959419105319917606262631145066135089965093226907594743043359813
m: 50000000000000000000000000000000000
deg: 5
c5: 16
c0: 15
skew: 0.99
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 6150001)
Primes: RFBsize:393606, AFBsize:392152, largePrimes:10860781 encountered
Relations: rels:12760960, finalFF:1797557
Max relations in full relation-set: 32
Initial matrix: 785822 x 1797557 with sparse part having weight 242784055.
Pruned matrix : 532971 x 536964 with weight 124499580.
Total sieving time: 117.44 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 5.32 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 123.13 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Justin CardSeptember 27, 2008 02:20:43 UTC 2008 年 9 月 27 日 (土) 11 時 20 分 43 秒 (日本時間)
255e4214Justin CardSeptember 27, 2008 02:23:42 UTC 2008 年 9 月 27 日 (土) 11 時 23 分 42 秒 (日本時間)

10175+3

c168

name 名前Jo Yeong Uk
date 日付April 19, 2008 23:56:49 UTC 2008 年 4 月 20 日 (日) 8 時 56 分 49 秒 (日本時間)
composite number 合成数
496113717995766066307880533236915285953249517566617777967182970559272467092653056911337880281707260262099853899471187426851132992261767060817439627549571806730566444287<168>
prime factors 素因数
84605989629414611161564159889389410528733<41>
5863813190635906011331311978267233281067998931182925784006119151460092105536944514992383719950101352924989857277216412589708939<127>
factorization results 素因数分解の結果
Number: 10003_175
N=496113717995766066307880533236915285953249517566617777967182970559272467092653056911337880281707260262099853899471187426851132992261767060817439627549571806730566444287
  ( 168 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=84605989629414611161564159889389410528733 (pp41)
 r2=5863813190635906011331311978267233281067998931182925784006119151460092105536944514992383719950101352924989857277216412589708939 (pp127)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 105.85 hours.
Scaled time: 226.62 units (timescale=2.141).
Factorization parameters were as follows:
n: 496113717995766066307880533236915285953249517566617777967182970559272467092653056911337880281707260262099853899471187426851132992261767060817439627549571806730566444287
m: 100000000000000000000000000000000000
c5: 1
c0: 3
skew: 1.25
type: snfs
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [4200000, 6000001)
Primes: RFBsize:564877, AFBsize:564406, largePrimes:10850911 encountered
Relations: rels:11119170, finalFF:1442537
Max relations in full relation-set: 28
Initial matrix: 1129347 x 1442537 with sparse part having weight 89062627.
Pruned matrix : 837022 x 842732 with weight 50559156.
Total sieving time: 100.83 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 4.76 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,50,50,2.6,2.6,100000
total time: 105.85 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600

10178+3

c149

name 名前Wataru Sakai
date 日付February 25, 2007 02:31:55 UTC 2007 年 2 月 25 日 (日) 11 時 31 分 55 秒 (日本時間)
composite number 合成数
73899063419641529828496341148830177925657488052756906974776261849315595920978010402274264834644374302972040474461993306960437315299699372612680703369<149>
prime factors 素因数
4569709099059178801353087954144739<34>
composite cofactor 合成数の残り
16171502784467401319287662621859897744129487788677630030766407486502790213752219467024595149277155013321436626027171<116>
factorization results 素因数分解の結果
Input number is 73899063419641529828496341148830177925657488052756906974776261849315595920978010402274264834644374302972040474461993306960437315299699372612680703369 (149 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2589698603
Step 1 took 377225ms
Step 2 took 111132ms
********** Factor found in step 2: 4569709099059178801353087954144739
Found probable prime factor of 34 digits: 4569709099059178801353087954144739
Composite cofactor 16171502784467401319287662621859897744129487788677630030766407486502790213752219467024595149277155013321436626027171 has 116 digits
software ソフトウェア
GMP-ECM 6.1.1

c116

name 名前Jo Yeong Uk
date 日付February 26, 2007 23:36:17 UTC 2007 年 2 月 27 日 (火) 8 時 36 分 17 秒 (日本時間)
composite number 合成数
16171502784467401319287662621859897744129487788677630030766407486502790213752219467024595149277155013321436626027171<116>
prime factors 素因数
841050813852720381404892919400005717849954152346218888253<57>
19227735730244777938096884405431184217580235872014168819807<59>
factorization results 素因数分解の結果
Number: 10003_178
N=16171502784467401319287662621859897744129487788677630030766407486502790213752219467024595149277155013321436626027171
  ( 116 digits)
Divisors found:
 r1=841050813852720381404892919400005717849954152346218888253 (pp57)
 r2=19227735730244777938096884405431184217580235872014168819807 (pp59)
Version: GGNFS-0.77.1-20050930-k8
Total time: 31.02 hours.
Scaled time: 28.04 units (timescale=0.904).
Factorization parameters were as follows:
name: 10003_178
n: 16171502784467401319287662621859897744129487788677630030766407486502790213752219467024595149277155013321436626027171
skew: 59320.44
# norm 8.29e+15
c5: 18360
c4: -5896211018
c3: -169978952505995
c2: 19216375200484044757
c1: 295044772439832950255035
c0: -5091579523182641313914445475
# alpha -6.33
Y1: 648790286489
Y0: -15451715806320998022694
# Murphy_E 5.24e-10
# M 2075202453831472643899126093394648510121006128741731540160248918241614765343065675054342930282131187537282500185585
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1800000, 3075001)
Primes: RFBsize:256726, AFBsize:257167, largePrimes:7603714 encountered
Relations: rels:7597769, finalFF:672489
Max relations in full relation-set: 28
Initial matrix: 513974 x 672489 with sparse part having weight 59145054.
Pruned matrix : 388056 x 390689 with weight 34744662.
Total sieving time: 29.17 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.52 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 31.02 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init)
Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335816)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238)
Total of 2 processors activated (9340.10 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

10180+3

c140

name 名前Wataru Sakai
date 日付February 24, 2007 02:34:20 UTC 2007 年 2 月 24 日 (土) 11 時 34 分 20 秒 (日本時間)
composite number 合成数
42003791447297655291416291273275632634644525719548868502439834260598910516155743017777543121247748961985735552658758406037381585659142026209<140>
prime factors 素因数
77061435151581887669779157560546231<35>
545068896844122913071888795078742584270297590744667404658731433888121502839542622364777079658746154067239<105>
factorization results 素因数分解の結果
Input number is 42003791447297655291416291273275632634644525719548868502439834260598910516155743017777543121247748961985735552658758406037381585659142026209 (140 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=957255829
Step 1 took 347925ms
Step 2 took 42891ms
********** Factor found in step 2: 77061435151581887669779157560546231
Found probable prime factor of 35 digits: 77061435151581887669779157560546231
Probable prime cofactor 545068896844122913071888795078742584270297590744667404658731433888121502839542622364777079658746154067239 has 105 digits
software ソフトウェア
GMP-ECM 6.1.1

10183+3

c181

name 名前Robert Backstrom
date 日付March 2, 2008 22:58:46 UTC 2008 年 3 月 3 日 (月) 7 時 58 分 46 秒 (日本時間)
composite number 合成数
6622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192053<181>
prime factors 素因数
6020764512776596637935748594527916970455883912337190641386916348913598221840340985957<85>
1099946118510003646349468098078650177107070925385139448756306534652901227896353302429603211134929<97>
factorization results 素因数分解の結果
Number: n
N=6622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192053
  ( 181 digits)
SNFS difficulty: 183 digits.
Divisors found:

Mon Mar 03 02:33:02 2008  prp85 factor: 6020764512776596637935748594527916970455883912337190641386916348913598221840340985957
Mon Mar 03 02:33:02 2008  prp97 factor: 1099946118510003646349468098078650177107070925385139448756306534652901227896353302429603211134929
Mon Mar 03 02:33:02 2008  elapsed time 01:55:13 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 267.26 hours.  [ CPU 1 of 4 ]
Scaled time: 225.03 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_1_0_182_3
n: 6622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192053
type: snfs
deg: 5
c5: 1000
c0: 3
skew: 0.31
m: 1000000000000000000000000000000000000
rlim: 8000000
alim: 8000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 18522211)
Primes: RFBsize:539777, AFBsize:539335, largePrimes:5050824 encountered
Relations: rels:4702361, finalFF:450163
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 267.12 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,27,27,48,48,2.5,2.5,100000
total time: 267.26 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

10184+3

c184

name 名前Robert Backstrom
date 日付April 22, 2008 15:54:09 UTC 2008 年 4 月 23 日 (水) 0 時 54 分 9 秒 (日本時間)
composite number 合成数
1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429<184>
prime factors 素因数
9818100172727968626557779746645595165748218531909597522519996742899<67>
145503855474974097626225854491524811807124225128548763972026441569570512183910306970186124416727300719805279405934471<117>
factorization results 素因数分解の結果
Number: n
N=1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429
  ( 184 digits)
SNFS difficulty: 185 digits.
Divisors found:

Wed Apr 23 01:45:47 2008  prp67 factor: 9818100172727968626557779746645595165748218531909597522519996742899
Wed Apr 23 01:45:47 2008  prp117 factor: 145503855474974097626225854491524811807124225128548763972026441569570512183910306970186124416727300719805279405934471
Wed Apr 23 01:45:47 2008  elapsed time 03:35:36 (Msieve 1.34)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 75.46 hours.
Scaled time: 97.80 units (timescale=1.296).
Factorization parameters were as follows:
name: KA_1_0_183_3
n: 1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429
skew: 1.97
deg: 5
c5: 1
c0: 30
m: 10000000000000000000000000000000000000
type: snfs
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4699990)
Primes: RFBsize:476648, AFBsize:475219, largePrimes:9263849 encountered
Relations: rels:9010978, finalFF:1072839
Max relations in full relation-set: 28
Initial matrix: 951931 x 1072839 with sparse part having weight 55004411.
Pruned matrix : 
Total sieving time: 75.09 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,48,48,2.5,2.5,100000
total time: 75.46 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

10185+3

c178

name 名前Wataru Sakai
date 日付December 3, 2008 14:52:00 UTC 2008 年 12 月 3 日 (水) 23 時 52 分 0 秒 (日本時間)
composite number 合成数
7656146534357225538056752104923507057167910241787998086882103994816482550378784021714056554882588782015038049899853775257340311349448654091548065938715150082292091024538638695803<178>
prime factors 素因数
14664279305141722711057404987986284967512862293<47>
522094974805393808120588312898179627396251001923170837778218768489811574700366797020490210824166469329055959469753995440922219261071<132>
factorization results 素因数分解の結果
Number: 10003_185
N=7656146534357225538056752104923507057167910241787998086882103994816482550378784021714056554882588782015038049899853775257340311349448654091548065938715150082292091024538638695803
  ( 178 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=14664279305141722711057404987986284967512862293
 r2=522094974805393808120588312898179627396251001923170837778218768489811574700366797020490210824166469329055959469753995440922219261071
Version: 
Total time: 236.49 hours.
Scaled time: 475.81 units (timescale=2.012).
Factorization parameters were as follows:
n: 7656146534357225538056752104923507057167910241787998086882103994816482550378784021714056554882588782015038049899853775257340311349448654091548065938715150082292091024538638695803
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: 3
skew: 1.25
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4250000, 6450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1408605 x 1408853
Total sieving time: 236.49 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 236.49 hours.
 --------- CPU info (if available) ----------

10189+3

c156

name 名前Wataru Sakai
date 日付January 6, 2009 14:08:57 UTC 2009 年 1 月 6 日 (火) 23 時 8 分 57 秒 (日本時間)
composite number 合成数
205248297644156261196720985253614172077029245438613226830452987675960883098054087210769404046438306485121986264348749244919350699056988552234916435950184757<156>
prime factors 素因数
302326156316901099415054234018340088084227443035320038122354865868161<69>
678896924250950617425559235848387983568344761375171256368612766118378019400194027494837<87>
factorization results 素因数分解の結果
Number: 10003_189
N=205248297644156261196720985253614172077029245438613226830452987675960883098054087210769404046438306485121986264348749244919350699056988552234916435950184757
  ( 156 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=302326156316901099415054234018340088084227443035320038122354865868161
 r2=678896924250950617425559235848387983568344761375171256368612766118378019400194027494837
Version: 
Total time: 342.40 hours.
Scaled time: 599.54 units (timescale=1.751).
Factorization parameters were as follows:
n: 205248297644156261196720985253614172077029245438613226830452987675960883098054087210769404046438306485121986264348749244919350699056988552234916435950184757
m: 50000000000000000000000000000000000000
deg: 5
c5: 16
c0: 15
skew: 0.99
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5100000, 8700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1273208 x 1273456
Total sieving time: 342.40 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 342.40 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6400 / 2336Serge BatalovDecember 14, 2008 00:10:36 UTC 2008 年 12 月 14 日 (日) 9 時 10 分 36 秒 (日本時間)

10190+3

c133

name 名前Wataru Sakai
date 日付February 27, 2007 14:16:29 UTC 2007 年 2 月 27 日 (火) 23 時 16 分 29 秒 (日本時間)
composite number 合成数
5438732653241028634256198413548026554931134835222274474373813870849955494912887669720006287148827254737003195162621680572493377204369<133>
prime factors 素因数
655722163172284079918744219522347<33>
composite cofactor 合成数の残り
8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027<100>
factorization results 素因数分解の結果
Input number is 5438732653241028634256198413548026554931134835222274474373813870849955494912887669720006287148827254737003195162621680572493377204369 (133 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3132901734
Step 1 took 307230ms
Step 2 took 95316ms
********** Factor found in step 2: 655722163172284079918744219522347
Found probable prime factor of 33 digits: 655722163172284079918744219522347
Composite cofactor 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 has 100 digits
software ソフトウェア
GMP-ECM 6.1.1

c100

name 名前Shaopu Lin
date 日付March 1, 2007 07:17:58 UTC 2007 年 3 月 1 日 (木) 16 時 17 分 58 秒 (日本時間)
composite number 合成数
8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027<100>
prime factors 素因数
623346172585568150454866799443866912070379169<45>
13306031615599752194914775123337309874878370542863648083<56>
factorization results 素因数分解の結果
Wed Feb 28 11:34:08 2007  
Wed Feb 28 11:34:08 2007  
Wed Feb 28 11:34:08 2007  Msieve v. 1.16
Wed Feb 28 11:34:08 2007  random seeds: fd3e5e78 9c85d5b5
Wed Feb 28 11:34:08 2007  factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits)
Wed Feb 28 11:34:08 2007  using multiplier of 3
Wed Feb 28 11:34:08 2007  sieve interval: 9 blocks of size 65536
Wed Feb 28 11:34:08 2007  processing polynomials in batches of 6
Wed Feb 28 11:34:08 2007  using a sieve bound of 2751557 (99744 primes)
Wed Feb 28 11:34:08 2007  using large prime bound of 412733550 (28 bits)
Wed Feb 28 11:34:08 2007  using double large prime bound of 3222593841584400 (43-52 bits)
Wed Feb 28 11:34:08 2007  using trial factoring cutoff of 57 bits
Wed Feb 28 11:34:08 2007  polynomial 'A' values have 13 factors
Wed Feb 28 13:55:54 2007  3251 relations (2946 full + 305 combined from 185074 partial), need 99840
Wed Feb 28 13:55:54 2007  elapsed time 02:21:46
Wed Feb 28 20:46:51 2007  
Wed Feb 28 20:46:51 2007  
Wed Feb 28 20:46:51 2007  Msieve v. 1.16
Wed Feb 28 20:46:51 2007  random seeds: 6c76c7ad 23a675ba
Wed Feb 28 20:46:51 2007  factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits)
Wed Feb 28 20:46:51 2007  using multiplier of 3
Wed Feb 28 20:46:51 2007  sieve interval: 9 blocks of size 65536
Wed Feb 28 20:46:51 2007  processing polynomials in batches of 6
Wed Feb 28 20:46:51 2007  using a sieve bound of 2751557 (99744 primes)
Wed Feb 28 20:46:51 2007  using large prime bound of 412733550 (28 bits)
Wed Feb 28 20:46:51 2007  using double large prime bound of 3222593841584400 (43-52 bits)
Wed Feb 28 20:46:51 2007  using trial factoring cutoff of 57 bits
Wed Feb 28 20:46:51 2007  polynomial 'A' values have 13 factors
Wed Feb 28 20:46:52 2007  restarting with 2946 full and 185074 partial relations
Wed Feb 28 21:53:31 2007  4826 relations (4151 full + 675 combined from 263698 partial), need 99840
Wed Feb 28 21:53:31 2007  elapsed time 01:06:40
Wed Feb 28 22:39:39 2007  
Wed Feb 28 22:39:39 2007  
Wed Feb 28 22:39:39 2007  Msieve v. 1.16
Wed Feb 28 22:39:39 2007  random seeds: 101005eb 187da084
Wed Feb 28 22:39:39 2007  factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits)
Wed Feb 28 22:39:40 2007  using multiplier of 3
Wed Feb 28 22:39:40 2007  sieve interval: 9 blocks of size 65536
Wed Feb 28 22:39:40 2007  processing polynomials in batches of 6
Wed Feb 28 22:39:40 2007  using a sieve bound of 2751557 (99744 primes)
Wed Feb 28 22:39:40 2007  using large prime bound of 412733550 (28 bits)
Wed Feb 28 22:39:40 2007  using double large prime bound of 3222593841584400 (43-52 bits)
Wed Feb 28 22:39:40 2007  using trial factoring cutoff of 57 bits
Wed Feb 28 22:39:40 2007  polynomial 'A' values have 13 factors
Wed Feb 28 22:39:40 2007  restarting with 4151 full and 263698 partial relations
Thu Mar  1 02:26:09 2007  12719 relations (8672 full + 4047 combined from 550728 partial), need 99840
Thu Mar  1 02:26:09 2007  elapsed time 03:46:30
Thu Mar  1 02:40:22 2007  
Thu Mar  1 02:40:22 2007  
Thu Mar  1 02:40:22 2007  Msieve v. 1.16
Thu Mar  1 02:40:22 2007  random seeds: e3b4d815 047781cd
Thu Mar  1 02:40:22 2007  factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits)
Thu Mar  1 02:40:22 2007  using multiplier of 3
Thu Mar  1 02:40:22 2007  sieve interval: 9 blocks of size 65536
Thu Mar  1 02:40:22 2007  processing polynomials in batches of 6
Thu Mar  1 02:40:22 2007  using a sieve bound of 2751557 (99744 primes)
Thu Mar  1 02:40:22 2007  using large prime bound of 412733550 (28 bits)
Thu Mar  1 02:40:22 2007  using double large prime bound of 3222593841584400 (43-52 bits)
Thu Mar  1 02:40:22 2007  using trial factoring cutoff of 57 bits
Thu Mar  1 02:40:22 2007  polynomial 'A' values have 13 factors
Thu Mar  1 02:40:25 2007  restarting with 8672 full and 550728 partial relations
Thu Mar  1 07:20:08 2007  30190 relations (14336 full + 15854 combined from 903383 partial), need 99840
Thu Mar  1 07:20:08 2007  elapsed time 04:39:46
Thu Mar  1 07:30:56 2007  
Thu Mar  1 07:30:56 2007  
Thu Mar  1 07:30:56 2007  Msieve v. 1.16
Thu Mar  1 07:30:56 2007  random seeds: 38d2b3b4 69611d54
Thu Mar  1 07:30:56 2007  factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits)
Thu Mar  1 07:30:57 2007  using multiplier of 3
Thu Mar  1 07:30:57 2007  sieve interval: 9 blocks of size 65536
Thu Mar  1 07:30:57 2007  processing polynomials in batches of 6
Thu Mar  1 07:30:57 2007  using a sieve bound of 2751557 (99744 primes)
Thu Mar  1 07:30:57 2007  using large prime bound of 412733550 (28 bits)
Thu Mar  1 07:30:57 2007  using double large prime bound of 3222593841584400 (43-52 bits)
Thu Mar  1 07:30:57 2007  using trial factoring cutoff of 57 bits
Thu Mar  1 07:30:57 2007  polynomial 'A' values have 13 factors
Thu Mar  1 07:31:00 2007  restarting with 14336 full and 903383 partial relations
Thu Mar  1 15:05:37 2007  100015 relations (23609 full + 76406 combined from 1496872 partial), need 99840
Thu Mar  1 15:05:39 2007  begin with 1520481 relations
Thu Mar  1 15:05:42 2007  reduce to 264112 relations in 11 passes
Thu Mar  1 15:05:42 2007  attempting to read 264112 relations
Thu Mar  1 15:05:46 2007  recovered 264112 relations
Thu Mar  1 15:05:46 2007  recovered 255700 polynomials
Thu Mar  1 15:05:47 2007  attempting to build 100015 cycles
Thu Mar  1 15:05:47 2007  found 100015 cycles in 6 passes
Thu Mar  1 15:05:47 2007  distribution of cycle lengths:
Thu Mar  1 15:05:47 2007     length 1 : 23609
Thu Mar  1 15:05:47 2007     length 2 : 17124
Thu Mar  1 15:05:47 2007     length 3 : 16634
Thu Mar  1 15:05:47 2007     length 4 : 13670
Thu Mar  1 15:05:47 2007     length 5 : 10309
Thu Mar  1 15:05:47 2007     length 6 : 7296
Thu Mar  1 15:05:47 2007     length 7 : 4705
Thu Mar  1 15:05:47 2007     length 9+: 6668
Thu Mar  1 15:05:47 2007  largest cycle: 23 relations
Thu Mar  1 15:05:48 2007  matrix is 99744 x 100015 with weight 6892518 (avg 68.91/col)
Thu Mar  1 15:05:49 2007  filtering completed in 3 passes
Thu Mar  1 15:05:49 2007  matrix is 98293 x 98357 with weight 6706543 (avg 68.19/col)
Thu Mar  1 15:05:51 2007  saving the first 48 matrix rows for later
Thu Mar  1 15:05:51 2007  matrix is 98245 x 98357 with weight 5288937 (avg 53.77/col)
Thu Mar  1 15:05:51 2007  matrix includes 32 packed rows
Thu Mar  1 15:12:18 2007  lanczos halted after 1555 iterations
Thu Mar  1 15:12:18 2007  recovered 15 nontrivial dependencies
Thu Mar  1 15:12:20 2007  prp45 factor: 623346172585568150454866799443866912070379169
Thu Mar  1 15:12:20 2007  prp56 factor: 13306031615599752194914775123337309874878370542863648083
Thu Mar  1 15:12:21 2007  elapsed time 07:41:25
software ソフトウェア
Msieve-1.16
execution environment 実行環境
Pentium4 2.80GHz PC, Fedora Core6

10194+3

c136

name 名前Tyler Cadigan
date 日付September 26, 2009 03:12:52 UTC 2009 年 9 月 26 日 (土) 12 時 12 分 52 秒 (日本時間)
composite number 合成数
4158535275088413824378355739836501505392291656144512892575213767449847733859690592784109621148873117954270828493388445606731856649315069<136>
prime factors 素因数
7588861276621421644017922022901115597982312020844439616721880396337<67>
547978823634499643594275398528213777607811823908668830812226219613837<69>
factorization results 素因数分解の結果
Number: 10003_194
N=4158535275088413824378355739836501505392291656144512892575213767449847733859690592784109621148873117954270828493388445606731856649315069
  ( 136 digits)
Divisors found:
 r1=7588861276621421644017922022901115597982312020844439616721880396337 (pp67)
 r2=547978823634499643594275398528213777607811823908668830812226219613837 (pp69)
Version: Msieve v. 1.42
Total time: 339.26 hours.
Scaled time: 843.06 units (timescale=2.485).
Factorization parameters were as follows:
# Murphy_E = 3.450591e-11, selected by Jeff Gilchrist
n: 4158535275088413824378355739836501505392291656144512892575213767449847733859690592784109621148873117954270828493388445606731856649315069
Y0: -144086758106095012795679247
Y1: 1263192996076717
c0: 5480555000941595632576275173174560
c1: 244004651297638614588297790208
c2: -157910048756582916016798
c3: -234900742537823939
c4: 80808230616
c5: 66960
skew: 1322167.18
type: gnfs
# selected mechanically
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [6950000, 11350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1992546 x 1992771
Total sieving time: 329.61 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 8.55 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13900000,13900000,28,28,55,55,2.6,2.6,100000
total time: 339.26 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q660 2.4GHz, Windows Vista, 3 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6956400Serge BatalovDecember 14, 2008 00:10:50 UTC 2008 年 12 月 14 日 (日) 9 時 10 分 50 秒 (日本時間)
556Wataru SakaiJuly 28, 2009 12:29:42 UTC 2009 年 7 月 28 日 (火) 21 時 29 分 42 秒 (日本時間)
4511e6400 / 4268Serge BatalovJanuary 16, 2009 05:11:08 UTC 2009 年 1 月 16 日 (金) 14 時 11 分 8 秒 (日本時間)

10195+3

c156

name 名前Wataru Sakai
date 日付December 28, 2008 09:02:36 UTC 2008 年 12 月 28 日 (日) 18 時 2 分 36 秒 (日本時間)
composite number 合成数
374219046080813346453326646441267156034345085487650370040062476729896969884729327545583720587165323414765099952683896438559950257399288091712019285405489339<156>
prime factors 素因数
20272161969880531371430224661237837143004245314829323956717291302611671<71>
18459750205074881191572660444812378965121433733944512974732242794281011685914941573309<86>
factorization results 素因数分解の結果
Number: 10003_195
N=374219046080813346453326646441267156034345085487650370040062476729896969884729327545583720587165323414765099952683896438559950257399288091712019285405489339
  ( 156 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=20272161969880531371430224661237837143004245314829323956717291302611671
 r2=18459750205074881191572660444812378965121433733944512974732242794281011685914941573309
Version: 
Total time: 436.80 hours.
Scaled time: 880.16 units (timescale=2.015).
Factorization parameters were as follows:
n: 374219046080813346453326646441267156034345085487650370040062476729896969884729327545583720587165323414765099952683896438559950257399288091712019285405489339
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 3
skew: 1.25
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6200000, 10500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2156382 x 2156628
Total sieving time: 436.80 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 436.80 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6400 / 2336Serge BatalovDecember 14, 2008 00:11:23 UTC 2008 年 12 月 14 日 (日) 9 時 11 分 23 秒 (日本時間)

10196+3

c196

name 名前Wataru Sakai
date 日付December 9, 2008 13:28:39 UTC 2008 年 12 月 9 日 (火) 22 時 28 分 39 秒 (日本時間)
composite number 合成数
1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429<196>
prime factors 素因数
2752508262761669324008667413574517577856587387092720436281875809<64>
519007135382076014806320192315848747738324564942772903565586965269516034842355760568492424090789108493561735010406846967181255450181<132>
factorization results 素因数分解の結果
Number: 10003_196
N=1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=2752508262761669324008667413574517577856587387092720436281875809
 r2=519007135382076014806320192315848747738324564942772903565586965269516034842355760568492424090789108493561735010406846967181255450181
Version: 
Total time: 642.69 hours.
Scaled time: 1295.02 units (timescale=2.015).
Factorization parameters were as follows:
n: 1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429
m: 1000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 3
skew: 0.79
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 13550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1916050 x 1916298
Total sieving time: 642.69 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 642.69 hours.
 --------- CPU info (if available) ----------

10197+3

c162

name 名前suberi
date 日付March 8, 2007 01:17:20 UTC 2007 年 3 月 8 日 (木) 10 時 17 分 20 秒 (日本時間)
composite number 合成数
218383891428096791061040109046208335081803757951946282406678379728478136794245394981343775150464888988806547762697936595186834068206118456518568389302562185275101<162>
prime factors 素因数
1506740400796917587901655344160313161129<40>
144937967623748042799512511778911106094684897095036555622767428355565706896710086626493506929331448785972737501085874126869<123>
factorization results 素因数分解の結果
Input number is 218383891428096791061040109046208335081803757951946282406678379728478136794245394981343775150464888988806547762697936595186834068206118456518568389302562185275101 (162 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3094257630
Step 1 took 26938ms
Step 2 took 18953ms
********** Factor found in step 2: 1506740400796917587901655344160313161129
Found probable prime factor of 40 digits: 1506740400796917587901655344160313161129
Probable prime cofactor 144937967623748042799512511778911106094684897095036555622767428355565706896710086626493506929331448785972737501085874126869 has 123 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Pentium 4 2.26GHz, Windows XP and Cygwin

10199+3

c125

name 名前Wataru Sakai
date 日付February 22, 2007 14:27:42 UTC 2007 年 2 月 22 日 (木) 23 時 27 分 42 秒 (日本時間)
composite number 合成数
11658292768317820781554389954230436794449000313821548811563233466427335134152895851328952839749423751087120161554182716468331<125>
prime factors 素因数
16093036459190114862200718359175889466551<41>
724430892695841602220008780254282449815290128891715782166558993784367540920500492781<84>
factorization results 素因数分解の結果
Input number is 11658292768317820781554389954230436794449000313821548811563233466427335134152895851328952839749423751087120161554182716468331 (125 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4230666473
Step 1 took 252859ms
Step 2 took 85308ms
********** Factor found in step 2: 16093036459190114862200718359175889466551
Found probable prime factor of 41 digits: 16093036459190114862200718359175889466551
Probable prime cofactor 724430892695841602220008780254282449815290128891715782166558993784367540920500492781 has 84 digits
software ソフトウェア
GMP-ECM 6.1.1

10200+3

c172

name 名前Tyler Cadigan
date 日付October 8, 2009 04:54:33 UTC 2009 年 10 月 8 日 (木) 13 時 54 分 33 秒 (日本時間)
composite number 合成数
5919647550678682918318585392550030687321219331802429980672060525048639901448866420111089641083403610030206379807979210510870824800479444820240779860283084327969945191577457<172>
prime factors 素因数
142382085188774470405910710620318311201708781764203691159141491<63>
41575789136886395098758671741723670103749259409601292912421292205993178486578323921284022171938244838107449227<110>
factorization results 素因数分解の結果
Number: 10003_200
N=5919647550678682918318585392550030687321219331802429980672060525048639901448866420111089641083403610030206379807979210510870824800479444820240779860283084327969945191577457
  ( 172 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=142382085188774470405910710620318311201708781764203691159141491 (pp63)
 r2=41575789136886395098758671741723670103749259409601292912421292205993178486578323921284022171938244838107449227 (pp110)
Version: Msieve v. 1.42
Total time: 478.11 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5919647550678682918318585392550030687321219331802429980672060525048639901448866420111089641083403610030206379807979210510870824800479444820240779860283084327969945191577457
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 3
skew: 1.25
type: snfs
lss: 1
rlim: 15100000
alim: 15100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7550000, 13550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3112395 x 3112621
Total sieving time: 452.35 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 24.85 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15100000,15100000,29,29,56,56,2.6,2.6,100000
total time: 478.11 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, msieve
execution environment 実行環境
C2Q Q6600 2.4GHz, 3 Gb or RAM, Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6400 / 2336Serge BatalovDecember 14, 2008 00:11:08 UTC 2008 年 12 月 14 日 (日) 9 時 11 分 8 秒 (日本時間)

10201+3

c181

name 名前Youcef Lemsafer
date 日付December 3, 2013 05:06:51 UTC 2013 年 12 月 3 日 (火) 14 時 6 分 51 秒 (日本時間)
composite number 合成数
5544749715906436128060592616689971095174464304952506855426229327314091233220290245638033963235642392446463291220068699333112380183728972100989298427871251069851910382719647449944951<181>
prime factors 素因数
1559209440913982454562887029869619018055889163293<49>
96809897811758421955085530905865727493577389835463186563<56>
36733112584125115601823581104037969696594279708082416983843406679278376763489<77>
factorization results 素因数分解の結果
<Sieving>
<16h 30m 49s, using 8 threads on Intel Xeon E5-2680 @ 2.8GHz>
<2013-11-30 16:49:26 ... 2013-12-01 09:20:15>
<[7000000,9000000] 9114824 relations>

<Resuming on 2x Intel Xeon E5-2620 @ 2.0 GHz:>

Sun Dec 01 14:33:41 2013 -> factmsieve.py (v0.76)
Sun Dec 01 14:33:41 2013 -> This is client 1 of 1
Sun Dec 01 14:33:41 2013 -> Running on 12 Cores with 2 hyper-threads per Core
Sun Dec 01 14:33:41 2013 -> Working with NAME = 10003_201
Sun Dec 01 14:33:41 2013 -> Selected lattice siever: gnfs-lasieve4I14e
Sun Dec 01 14:33:41 2013 -> Creating param file to detect parameter changes...
Sun Dec 01 14:33:41 2013 -> Running setup ...
Sun Dec 01 14:33:41 2013 -> Estimated minimum relations needed: 3.05995e+07
Sun Dec 01 14:33:41 2013 -> cleaning up before a restart
Sun Dec 01 14:33:41 2013 -> Running lattice siever ...
Sun Dec 01 14:33:41 2013 -> entering sieving loop
<...snipped...>
Sun Dec 01 14:33:41 2013 -> Lattice sieving rational q from 9000000 to 9100000.
<...snipped...>
Sun Dec 01 15:02:12 2013 Found 9563853 relations, 31.3% of the estimated minimum (30599496).
<...snipped...>
Sun Dec 01 20:09:38 2013 Found 15455024 relations, 50.5% of the estimated minimum (30599496).
<...snipped...>
Mon Dec 02 03:07:30 2013 Found 23123130 relations, 75.6% of the estimated minimum (30599496).
<...snipped...>
Mon Dec 02 10:09:08 2013 Found 30714281 relations, 100.4% of the estimated minimum (30599496).
<...snipped...>
Mon Dec 02 19:16:00 2013 Found 38077877 relations, 124.4% of the estimated minimum (30599496).
<...snipped...>
Mon Dec 02 19:16:00 2013  Msieve v. 1.51 (SVN 845)
Mon Dec 02 19:16:00 2013  random seeds: 9bb5f34c b61e0266
Mon Dec 02 19:16:00 2013  factoring 5544749715906436128060592616689971095174464304952506855426229327314091233220290245638033963235642392446463291220068699333112380183728972100989298427871251069851910382719647449944951 (181 digits)
Mon Dec 02 19:16:01 2013  searching for 15-digit factors
Mon Dec 02 19:16:02 2013  commencing number field sieve (181-digit input)
Mon Dec 02 19:16:02 2013  R0: -10000000000000000000000000000000000000000
Mon Dec 02 19:16:02 2013  R1: 1
Mon Dec 02 19:16:02 2013  A0: 3
Mon Dec 02 19:16:02 2013  A1: 0
Mon Dec 02 19:16:02 2013  A2: 0
Mon Dec 02 19:16:02 2013  A3: 0
Mon Dec 02 19:16:02 2013  A4: 0
Mon Dec 02 19:16:02 2013  A5: 10
Mon Dec 02 19:16:02 2013  skew 0.79, size 6.304e-014, alpha 1.627, combined = 1.463e-011 rroots = 1
Mon Dec 02 19:16:02 2013  
Mon Dec 02 19:16:02 2013  commencing relation filtering
Mon Dec 02 19:16:02 2013  estimated available RAM is 4096.0 MB
Mon Dec 02 19:16:02 2013  commencing duplicate removal, pass 1
Mon Dec 02 19:19:40 2013  skipped 1 relations with b > 2^32
Mon Dec 02 19:19:40 2013  found 4029001 hash collisions in 38077875 relations
Mon Dec 02 19:20:30 2013  added 52 free relations
Mon Dec 02 19:20:30 2013  commencing duplicate removal, pass 2
Mon Dec 02 19:21:44 2013  found 3235549 duplicates and 34842378 unique relations
Mon Dec 02 19:21:44 2013  memory use: 138.6 MB
Mon Dec 02 19:21:44 2013  reading ideals above 15269888
Mon Dec 02 19:21:48 2013  commencing singleton removal, initial pass
Mon Dec 02 19:26:04 2013  memory use: 753.0 MB
Mon Dec 02 19:26:04 2013  reading all ideals from disk
Mon Dec 02 19:26:04 2013  memory use: 648.6 MB
Mon Dec 02 19:26:06 2013  commencing in-memory singleton removal
Mon Dec 02 19:26:08 2013  begin with 34842378 relations and 36343383 unique ideals
Mon Dec 02 19:26:28 2013  reduce to 12890900 relations and 10762757 ideals in 21 passes
Mon Dec 02 19:26:28 2013  max relations containing the same ideal: 47
Mon Dec 02 19:26:29 2013  reading ideals above 720000
Mon Dec 02 19:26:30 2013  commencing singleton removal, initial pass
Mon Dec 02 19:28:40 2013  memory use: 344.5 MB
Mon Dec 02 19:28:40 2013  reading all ideals from disk
Mon Dec 02 19:28:41 2013  memory use: 433.5 MB
Mon Dec 02 19:28:42 2013  commencing in-memory singleton removal
Mon Dec 02 19:28:43 2013  begin with 12890954 relations and 12621729 unique ideals
Mon Dec 02 19:28:50 2013  reduce to 12890210 relations and 12620728 ideals in 7 passes
Mon Dec 02 19:28:50 2013  max relations containing the same ideal: 178
Mon Dec 02 19:28:56 2013  removing 948139 relations and 880710 ideals in 67429 cliques
Mon Dec 02 19:28:57 2013  commencing in-memory singleton removal
Mon Dec 02 19:28:58 2013  begin with 11942071 relations and 12620728 unique ideals
Mon Dec 02 19:29:11 2013  reduce to 11875079 relations and 11672436 ideals in 10 passes
Mon Dec 02 19:29:11 2013  max relations containing the same ideal: 169
Mon Dec 02 19:29:18 2013  removing 685878 relations and 618449 ideals in 67429 cliques
Mon Dec 02 19:29:19 2013  commencing in-memory singleton removal
Mon Dec 02 19:29:20 2013  begin with 11189201 relations and 11672436 unique ideals
Mon Dec 02 19:29:31 2013  reduce to 11151167 relations and 11015708 ideals in 9 passes
Mon Dec 02 19:29:31 2013  max relations containing the same ideal: 158
Mon Dec 02 19:29:41 2013  relations with 0 large ideals: 2894
Mon Dec 02 19:29:41 2013  relations with 1 large ideals: 282
Mon Dec 02 19:29:41 2013  relations with 2 large ideals: 7067
Mon Dec 02 19:29:41 2013  relations with 3 large ideals: 73355
Mon Dec 02 19:29:41 2013  relations with 4 large ideals: 413034
Mon Dec 02 19:29:41 2013  relations with 5 large ideals: 1355314
Mon Dec 02 19:29:41 2013  relations with 6 large ideals: 2793684
Mon Dec 02 19:29:41 2013  relations with 7+ large ideals: 6505537
Mon Dec 02 19:29:41 2013  commencing 2-way merge
Mon Dec 02 19:29:51 2013  reduce to 6268110 relation sets and 6132656 unique ideals
Mon Dec 02 19:29:51 2013  ignored 5 oversize relation sets
Mon Dec 02 19:29:51 2013  commencing full merge
Mon Dec 02 19:32:16 2013  memory use: 620.6 MB
Mon Dec 02 19:32:17 2013  found 3246847 cycles, need 3232856
Mon Dec 02 19:32:18 2013  weight of 3232856 cycles is about 226479241 (70.06/cycle)
Mon Dec 02 19:32:18 2013  distribution of cycle lengths:
Mon Dec 02 19:32:18 2013  1 relations: 461892
Mon Dec 02 19:32:18 2013  2 relations: 435376
Mon Dec 02 19:32:18 2013  3 relations: 407717
Mon Dec 02 19:32:18 2013  4 relations: 354452
Mon Dec 02 19:32:18 2013  5 relations: 298440
Mon Dec 02 19:32:18 2013  6 relations: 250462
Mon Dec 02 19:32:18 2013  7 relations: 203604
Mon Dec 02 19:32:18 2013  8 relations: 162911
Mon Dec 02 19:32:18 2013  9 relations: 131787
Mon Dec 02 19:32:18 2013  10+ relations: 526215
Mon Dec 02 19:32:18 2013  heaviest cycle: 27 relations
Mon Dec 02 19:32:19 2013  commencing cycle optimization
Mon Dec 02 19:32:23 2013  start with 17928491 relations
Mon Dec 02 19:32:57 2013  pruned 284692 relations
Mon Dec 02 19:32:57 2013  memory use: 501.0 MB
Mon Dec 02 19:32:57 2013  distribution of cycle lengths:
Mon Dec 02 19:32:57 2013  1 relations: 461892
Mon Dec 02 19:32:57 2013  2 relations: 442838
Mon Dec 02 19:32:57 2013  3 relations: 418581
Mon Dec 02 19:32:57 2013  4 relations: 358943
Mon Dec 02 19:32:57 2013  5 relations: 301712
Mon Dec 02 19:32:57 2013  6 relations: 250473
Mon Dec 02 19:32:57 2013  7 relations: 202548
Mon Dec 02 19:32:57 2013  8 relations: 160538
Mon Dec 02 19:32:57 2013  9 relations: 129657
Mon Dec 02 19:32:57 2013  10+ relations: 505674
Mon Dec 02 19:32:57 2013  heaviest cycle: 26 relations
Mon Dec 02 19:33:01 2013  RelProcTime: 1019
Mon Dec 02 19:33:01 2013  elapsed time 00:17:01
Mon Dec 02 19:33:01 2013 LatSieveTime: 2592.1
Mon Dec 02 19:33:01 2013 -> Running matrix solving step ...
<...snipped...>
Mon Dec 02 19:33:04 2013  commencing linear algebra
Mon Dec 02 19:33:05 2013  read 3232856 cycles
Mon Dec 02 19:33:12 2013  cycles contain 10949726 unique relations
Mon Dec 02 19:34:26 2013  read 10949726 relations
Mon Dec 02 19:34:46 2013  using 20 quadratic characters above 536870058
Mon Dec 02 19:35:46 2013  building initial matrix
Mon Dec 02 19:38:25 2013  memory use: 1229.0 MB
Mon Dec 02 19:38:29 2013  read 3232856 cycles
Mon Dec 02 19:38:30 2013  matrix is 3232677 x 3232856 (928.1 MB) with weight 286285368 (88.55/col)
Mon Dec 02 19:38:30 2013  sparse part has weight 220659605 (68.26/col)
Mon Dec 02 19:39:14 2013  filtering completed in 2 passes
Mon Dec 02 19:39:15 2013  matrix is 3227575 x 3227754 (927.8 MB) with weight 286133477 (88.65/col)
Mon Dec 02 19:39:15 2013  sparse part has weight 220614576 (68.35/col)
Mon Dec 02 19:39:25 2013  matrix starts at (0, 0)
Mon Dec 02 19:39:27 2013  matrix is 3227575 x 3227754 (927.8 MB) with weight 286133477 (88.65/col)
Mon Dec 02 19:39:27 2013  sparse part has weight 220614576 (68.35/col)
Mon Dec 02 19:39:27 2013  saving the first 48 matrix rows for later
Mon Dec 02 19:39:28 2013  matrix includes 64 packed rows
Mon Dec 02 19:39:29 2013  matrix is 3227527 x 3227754 (877.4 MB) with weight 227575913 (70.51/col)
Mon Dec 02 19:39:29 2013  sparse part has weight 210637036 (65.26/col)
Mon Dec 02 19:39:29 2013  using block size 65536 for processor cache size 15360 kB
Mon Dec 02 19:39:48 2013  commencing Lanczos iteration (24 threads)
Mon Dec 02 19:39:48 2013  memory use: 1314.1 MB
Mon Dec 02 19:40:02 2013  linear algebra at 0.0%, ETA 7h41m
Mon Dec 02 19:40:07 2013  checkpointing every 410000 dimensions
Tue Dec 03 03:24:12 2013  lanczos halted after 51043 iterations (dim = 3227527)
Tue Dec 03 03:24:19 2013  recovered 39 nontrivial dependencies
Tue Dec 03 03:24:19 2013  BLanczosTime: 28275
Tue Dec 03 03:24:19 2013  elapsed time 07:51:18
Tue Dec 03 03:24:19 2013 -> Running square root step ...
<...snipped...>
Tue Dec 03 03:24:23 2013  commencing square root phase
Tue Dec 03 03:24:23 2013  reading relations for dependency 1
Tue Dec 03 03:24:24 2013  read 1612216 cycles
Tue Dec 03 03:24:28 2013  cycles contain 5470524 unique relations
Tue Dec 03 03:25:24 2013  read 5470524 relations
Tue Dec 03 03:26:06 2013  multiplying 5470524 relations
Tue Dec 03 03:36:46 2013  multiply complete, coefficients have about 146.62 million bits
Tue Dec 03 03:36:48 2013  initial square root is modulo 182821
Tue Dec 03 03:49:34 2013  found factor: 96809897811758421955085530905865727493577389835463186563
Tue Dec 03 03:49:34 2013  reading relations for dependency 2
Tue Dec 03 03:49:35 2013  read 1613552 cycles
Tue Dec 03 03:49:39 2013  cycles contain 5471938 unique relations
Tue Dec 03 03:50:35 2013  read 5471938 relations
Tue Dec 03 03:51:17 2013  multiplying 5471938 relations
Tue Dec 03 04:01:57 2013  multiply complete, coefficients have about 146.66 million bits
Tue Dec 03 04:01:58 2013  initial square root is modulo 183451
Tue Dec 03 04:14:38 2013  sqrtTime: 3015
Tue Dec 03 04:14:38 2013  prp49 factor: 1559209440913982454562887029869619018055889163293
Tue Dec 03 04:14:38 2013  prp56 factor: 96809897811758421955085530905865727493577389835463186563
Tue Dec 03 04:14:38 2013  prp77 factor: 36733112584125115601823581104037969696594279708082416983843406679278376763489
Tue Dec 03 04:14:38 2013  elapsed time 00:50:19
software ソフトウェア
GGNFS (SVN 440), msieve 1.51 (SVN 845)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 2, 2011 15:01:31 UTC 2011 年 6 月 3 日 (金) 0 時 1 分 31 秒 (日本時間)
403e62510110Ignacio SantosJune 2, 2011 15:01:31 UTC 2011 年 6 月 3 日 (金) 0 時 1 分 31 秒 (日本時間)
2400Youcef LemsaferOctober 23, 2013 06:30:44 UTC 2013 年 10 月 23 日 (水) 15 時 30 分 44 秒 (日本時間)
4511e6393232Ignacio SantosJune 2, 2011 15:01:31 UTC 2011 年 6 月 3 日 (金) 0 時 1 分 31 秒 (日本時間)
1853Youcef LemsaferOctober 23, 2013 10:30:45 UTC 2013 年 10 月 23 日 (水) 19 時 30 分 45 秒 (日本時間)
1024Youcef LemsaferOctober 27, 2013 00:12:37 UTC 2013 年 10 月 27 日 (日) 9 時 12 分 37 秒 (日本時間)
1023Youcef LemsaferOctober 31, 2013 04:58:57 UTC 2013 年 10 月 31 日 (木) 13 時 58 分 57 秒 (日本時間)

10203+3

c154

name 名前Youcef Lemsafer
date 日付October 27, 2013 08:39:20 UTC 2013 年 10 月 27 日 (日) 17 時 39 分 20 秒 (日本時間)
composite number 合成数
8264494845185256645112826460948097923540992276880283844281341492086504732344676137289279780160950347952045984000332315386091220759365162756845298474087321<154>
prime factors 素因数
55074051436426524245294788335740472290658242214637<50>
150061501371933529609603999495255647135727438849802417383522605116922772437293654866115221871606646163933<105>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^203+3)/(2789*12365896675697*1249127817911663*280868269889331617) (154 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3355128729
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 40342ms
Using 19 small primes for NTT
Estimated memory usage: 104M
Initializing tables of differences for F took 47ms
Computing roots of F took 1029ms
Building F from its roots took 2169ms
Computing 1/F took 1107ms
Initializing table of differences for G took 32ms
Computing roots of G took 951ms
Building G from its roots took 2106ms
Computing roots of G took 936ms
Building G from its roots took 2075ms
Computing G * H took 593ms
Reducing  G * H mod F took 624ms
Computing roots of G took 920ms
Building G from its roots took 2075ms
Computing G * H took 608ms
Reducing  G * H mod F took 655ms
Computing polyeval(F,G) took 4087ms
Computing product of all F(g_i) took 16ms
Step 2 took 20171ms
********** Factor found in step 2: 55074051436426524245294788335740472290658242214637
Found probable prime factor of 50 digits: 55074051436426524245294788335740472290658242214637
Probable prime cofactor ((10^203+3)/(2789*12365896675697*1249127817911663*280868269889331617))/55074051436426524245294788335740472290658242214637 has 105 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e632525Luigi MorelliNovember 8, 2010 16:14:17 UTC 2010 年 11 月 9 日 (火) 1 時 14 分 17 秒 (日本時間)
300Ignacio SantosJune 2, 2011 15:55:30 UTC 2011 年 6 月 3 日 (金) 0 時 55 分 30 秒 (日本時間)
403e62510110Ignacio SantosJune 2, 2011 15:55:30 UTC 2011 年 6 月 3 日 (金) 0 時 55 分 30 秒 (日本時間)
2400Youcef LemsaferOctober 23, 2013 15:48:33 UTC 2013 年 10 月 24 日 (木) 0 時 48 分 33 秒 (日本時間)
4511e6418 / 390932Ignacio SantosJune 2, 2011 15:55:30 UTC 2011 年 6 月 3 日 (金) 0 時 55 分 30 秒 (日本時間)
200Youcef LemsaferOctober 23, 2013 15:48:33 UTC 2013 年 10 月 24 日 (木) 0 時 48 分 33 秒 (日本時間)
186Youcef LemsaferOctober 27, 2013 08:32:58 UTC 2013 年 10 月 27 日 (日) 17 時 32 分 58 秒 (日本時間)

10205+3

c161

name 名前Justin Card
date 日付June 23, 2010 22:23:39 UTC 2010 年 6 月 24 日 (木) 7 時 23 分 39 秒 (日本時間)
composite number 合成数
14314781835404490011603522372422309471037502970971972887091557090459232811795396444691393260978632571264406191766925701366390800713391335388861750441161135313949<161>
prime factors 素因数
19039799146194219929680236981306119437<38>
composite cofactor 合成数の残り
751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977<123>
factorization results 素因数分解の結果
[2010-06-23 12:03:06 GMT] 10003_205: probable factor returned by justin@darkenedpath.com (c2)!  Factor=19039799146194219929680236981306119437  Method=ECM  B1=3000000  Sigma=864795688
software ソフトウェア
gmp-ecm 6.2
execution environment 実行環境
Athlon 64x2 2600+, Ubuntu Linux 10.04

c123

name 名前Justin Card
date 日付July 1, 2010 03:44:26 UTC 2010 年 7 月 1 日 (木) 12 時 44 分 26 秒 (日本時間)
composite number 合成数
751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977<123>
prime factors 素因数
15143108594550198118899835285284064399180193739119563<53>
49648637432202862502291365717484506948318948700540135668665997987802579<71>
factorization results 素因数分解の結果
Wed Jun 30 18:37:49 2010
Wed Jun 30 18:37:49 2010
Wed Jun 30 18:37:49 2010  Msieve v. 1.46
Wed Jun 30 18:37:49 2010  random seeds: 4e632727 dd0fe6f3
Wed Jun 30 18:37:49 2010  factoring 751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977 (123 digits)
Wed Jun 30 18:37:50 2010  no P-1/P+1/ECM available, skipping
Wed Jun 30 18:37:50 2010  commencing number field sieve (123-digit input)
Wed Jun 30 18:37:50 2010  R0: -857666033332364158161703
Wed Jun 30 18:37:50 2010  R1:  12206160367483
Wed Jun 30 18:37:50 2010  A0: -7270073499588044560864454224296
Wed Jun 30 18:37:50 2010  A1:  134320085797973316376602654
Wed Jun 30 18:37:50 2010  A2: -1042662099323539519318
Wed Jun 30 18:37:50 2010  A3: -1380449778881387
Wed Jun 30 18:37:50 2010  A4:  4272989126
Wed Jun 30 18:37:50 2010  A5:  1620
Wed Jun 30 18:37:50 2010  skew 1.00, size 6.352e-12, alpha -6.225, combined = 2.643e-12 rroots = 3
Wed Jun 30 18:37:50 2010
Wed Jun 30 18:37:50 2010  commencing relation filtering
Wed Jun 30 18:37:50 2010  estimated available RAM is 998.5 MB
Wed Jun 30 18:37:50 2010  commencing duplicate removal, pass 1
Wed Jun 30 18:39:57 2010  found 62760 hash collisions in 11613847 relations
Wed Jun 30 18:40:44 2010  added 59139 free relations
Wed Jun 30 18:40:44 2010  commencing duplicate removal, pass 2
Wed Jun 30 18:40:59 2010  found 0 duplicates and 11672986 unique relations
Wed Jun 30 18:40:59 2010  memory use: 130.1 MB
Wed Jun 30 18:40:59 2010  reading ideals above 7012352
Wed Jun 30 18:41:03 2010  commencing singleton removal, initial pass
Wed Jun 30 18:43:36 2010  memory use: 344.5 MB
Wed Jun 30 18:43:36 2010  reading all ideals from disk
Wed Jun 30 18:43:38 2010  memory use: 228.5 MB
Wed Jun 30 18:43:39 2010  commencing in-memory singleton removal
Wed Jun 30 18:43:41 2010  begin with 11672986 relations and 10952773 unique ideals
Wed Jun 30 18:43:56 2010  reduce to 6030608 relations and 4525451 ideals in 14 passes
Wed Jun 30 18:43:56 2010  max relations containing the same ideal: 36
Wed Jun 30 18:43:57 2010  reading ideals above 100000
Wed Jun 30 18:43:57 2010  commencing singleton removal, initial pass
Wed Jun 30 18:45:40 2010  memory use: 172.2 MB
Wed Jun 30 18:45:41 2010  reading all ideals from disk
Wed Jun 30 18:45:44 2010  memory use: 216.3 MB
Wed Jun 30 18:45:46 2010  keeping 5449206 ideals with weight <= 200, target excess is 30653
Wed Jun 30 18:45:48 2010  commencing in-memory singleton removal
Wed Jun 30 18:45:49 2010  begin with 6030795 relations and 5449206 unique ideals
Wed Jun 30 18:45:58 2010
Wed Jun 30 18:45:58 2010
Wed Jun 30 18:45:58 2010  Msieve v. 1.46
Wed Jun 30 18:45:58 2010  random seeds: 5a13768f fb03627e
Wed Jun 30 18:45:58 2010  factoring 751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977 (123 digits)
Wed Jun 30 18:45:59 2010  no P-1/P+1/ECM available, skipping
Wed Jun 30 18:45:59 2010  commencing number field sieve (123-digit input)
Wed Jun 30 18:45:59 2010  R0: -857666033332364158161703
Wed Jun 30 18:45:59 2010  R1:  12206160367483
Wed Jun 30 18:45:59 2010  A0: -7270073499588044560864454224296
Wed Jun 30 18:45:59 2010  A1:  134320085797973316376602654
Wed Jun 30 18:45:59 2010  A2: -1042662099323539519318
Wed Jun 30 18:45:59 2010  A3: -1380449778881387
Wed Jun 30 18:45:59 2010  A4:  4272989126
Wed Jun 30 18:45:59 2010  A5:  1620
Wed Jun 30 18:45:59 2010  skew 1.00, size 6.352e-12, alpha -6.225, combined = 2.643e-12 rroots = 3
Wed Jun 30 18:45:59 2010
Wed Jun 30 18:45:59 2010  commencing relation filtering
Wed Jun 30 18:45:59 2010  estimated available RAM is 998.5 MB
Wed Jun 30 18:45:59 2010  commencing duplicate removal, pass 1
Wed Jun 30 18:46:03 2010  reduce to 6027546 relations and 5445143 ideals in 8 passes
Wed Jun 30 18:46:03 2010  max relations containing the same ideal: 200
Wed Jun 30 18:46:11 2010  removing 1411065 relations and 1137642 ideals in 273423 cliques
Wed Jun 30 18:46:12 2010  commencing in-memory singleton removal
Wed Jun 30 18:46:13 2010  begin with 4616481 relations and 5445143 unique ideals
Wed Jun 30 18:46:25 2010  reduce to 4416612 relations and 4096737 ideals in 9 passes
Wed Jun 30 18:46:25 2010  max relations containing the same ideal: 169
Wed Jun 30 18:46:31 2010  removing 1050985 relations and 777562 ideals in 273423 cliques
Wed Jun 30 18:46:32 2010  commencing in-memory singleton removal
Wed Jun 30 18:46:33 2010  begin with 3365627 relations and 4096737 unique ideals
Wed Jun 30 18:46:40 2010  reduce to 3205337 relations and 3148836 ideals in 8 passes
Wed Jun 30 18:46:40 2010  max relations containing the same ideal: 135
Wed Jun 30 18:46:45 2010  removing 132148 relations and 111205 ideals in 20943 cliques
Wed Jun 30 18:46:45 2010  commencing in-memory singleton removal
Wed Jun 30 18:46:46 2010  begin with 3073189 relations and 3148836 unique ideals
Wed Jun 30 18:46:50 2010  reduce to 3070003 relations and 3034425 ideals in 5 passes
Wed Jun 30 18:46:50 2010  max relations containing the same ideal: 129
Wed Jun 30 18:46:52 2010  relations with 0 large ideals: 102
Wed Jun 30 18:46:52 2010  relations with 1 large ideals: 118
Wed Jun 30 18:46:52 2010  relations with 2 large ideals: 1780
Wed Jun 30 18:46:52 2010  relations with 3 large ideals: 19196
Wed Jun 30 18:46:52 2010  relations with 4 large ideals: 109526
Wed Jun 30 18:46:52 2010  relations with 5 large ideals: 365997
Wed Jun 30 18:46:52 2010  relations with 6 large ideals: 742823
Wed Jun 30 18:46:52 2010  relations with 7+ large ideals: 1830461
Wed Jun 30 18:46:52 2010  commencing 2-way merge
Wed Jun 30 18:46:58 2010  reduce to 2018737 relation sets and 1983159 unique ideals
Wed Jun 30 18:46:58 2010  commencing full merge
Wed Jun 30 18:48:08 2010  found 63387 hash collisions in 11672986 relations
Wed Jun 30 18:48:11 2010  memory use: 238.6 MB
Wed Jun 30 18:48:12 2010  found 1031717 cycles, need 1027359
Wed Jun 30 18:48:13 2010  weight of 1027359 cycles is about 72274782 (70.35/cycle)
Wed Jun 30 18:48:13 2010  distribution of cycle lengths:
Wed Jun 30 18:48:13 2010  1 relations: 86685
Wed Jun 30 18:48:13 2010  2 relations: 114734
Wed Jun 30 18:48:13 2010  3 relations: 122246
Wed Jun 30 18:48:13 2010  4 relations: 115046
Wed Jun 30 18:48:13 2010  5 relations: 105483
Wed Jun 30 18:48:13 2010  6 relations: 93341
Wed Jun 30 18:48:13 2010  7 relations: 79554
Wed Jun 30 18:48:13 2010  8 relations: 67484
Wed Jun 30 18:48:13 2010  9 relations: 55530
Wed Jun 30 18:48:13 2010  10+ relations: 187256
Wed Jun 30 18:48:13 2010  heaviest cycle: 23 relations
Wed Jun 30 18:48:13 2010  commencing cycle optimization
Wed Jun 30 18:48:16 2010  start with 6198482 relations
Wed Jun 30 18:48:35 2010  pruned 179644 relations
Wed Jun 30 18:48:35 2010  memory use: 192.2 MB
Wed Jun 30 18:48:35 2010  distribution of cycle lengths:
Wed Jun 30 18:48:35 2010  1 relations: 86685
Wed Jun 30 18:48:35 2010  2 relations: 117341
Wed Jun 30 18:48:35 2010  3 relations: 127121
Wed Jun 30 18:48:35 2010  4 relations: 118354
Wed Jun 30 18:48:35 2010  5 relations: 108757
Wed Jun 30 18:48:35 2010  6 relations: 95116
Wed Jun 30 18:48:35 2010  7 relations: 80777
Wed Jun 30 18:48:35 2010  8 relations: 67513
Wed Jun 30 18:48:35 2010  9 relations: 54834
Wed Jun 30 18:48:35 2010  10+ relations: 170861
Wed Jun 30 18:48:35 2010  heaviest cycle: 23 relations
Wed Jun 30 18:48:38 2010  RelProcTime: 648
Wed Jun 30 18:48:38 2010
Wed Jun 30 18:48:38 2010  commencing linear algebra
Wed Jun 30 18:48:39 2010  read 1027359 cycles
Wed Jun 30 18:48:42 2010  cycles contain 3047708 unique relations
Wed Jun 30 18:48:54 2010  commencing duplicate removal, pass 2
Wed Jun 30 18:49:21 2010  found 0 duplicates and 11672986 unique relations
Wed Jun 30 18:49:21 2010  memory use: 130.1 MB
Wed Jun 30 18:49:21 2010  reading ideals above 7012352
Wed Jun 30 18:49:26 2010  commencing singleton removal, initial pass
Wed Jun 30 18:49:35 2010  read 3047708 relations
Wed Jun 30 18:49:43 2010  using 20 quadratic characters above 134217614
Wed Jun 30 18:50:11 2010  building initial matrix
Wed Jun 30 18:51:12 2010  memory use: 388.5 MB
Wed Jun 30 18:51:14 2010  read 1027359 cycles
Wed Jun 30 18:51:24 2010  matrix is 1027182 x 1027359 (307.4 MB) with weight 96498332 (93.93/col)
Wed Jun 30 18:51:24 2010  sparse part has weight 69284304 (67.44/col)
Wed Jun 30 18:51:49 2010  filtering completed in 2 passes
Wed Jun 30 18:51:50 2010  matrix is 1027051 x 1027226 (307.4 MB) with weight 96493577 (93.94/col)
Wed Jun 30 18:51:50 2010  sparse part has weight 69283227 (67.45/col)
Wed Jun 30 18:52:04 2010  read 1027226 cycles
Wed Jun 30 18:52:10 2010  matrix is 1027051 x 1027226 (307.4 MB) with weight 96493577 (93.94/col)
Wed Jun 30 18:52:10 2010  sparse part has weight 69283227 (67.45/col)
Wed Jun 30 18:52:10 2010  saving the first 48 matrix rows for later
Wed Jun 30 18:52:11 2010  matrix is 1027003 x 1027226 (295.7 MB) with weight 76613331 (74.58/col)
Wed Jun 30 18:52:11 2010  sparse part has weight 67248862 (65.47/col)
Wed Jun 30 18:52:11 2010  matrix includes 64 packed rows
Wed Jun 30 18:52:11 2010  using block size 10922 for processor cache size 256 kB
Wed Jun 30 18:52:17 2010  commencing Lanczos iteration
Wed Jun 30 18:52:17 2010  memory use: 287.1 MB
Wed Jun 30 18:52:18 2010  memory use: 344.5 MB
Wed Jun 30 18:52:18 2010  reading all ideals from disk
Wed Jun 30 18:52:20 2010  memory use: 228.5 MB
Wed Jun 30 18:52:23 2010  commencing in-memory singleton removal
Wed Jun 30 18:52:26 2010  begin with 11672986 relations and 10952773 unique ideals
Wed Jun 30 18:52:36 2010  linear algebra at 0.1%, ETA 6h43m
Wed Jun 30 18:52:48 2010  reduce to 6030608 relations and 4525451 ideals in 14 passes
Wed Jun 30 18:52:48 2010  max relations containing the same ideal: 36
Wed Jun 30 18:52:50 2010  reading ideals above 100000
Wed Jun 30 18:52:50 2010  commencing singleton removal, initial pass
Wed Jun 30 18:54:39 2010  memory use: 172.2 MB
Wed Jun 30 18:54:39 2010  reading all ideals from disk
Wed Jun 30 18:54:42 2010  memory use: 216.3 MB
Wed Jun 30 18:54:45 2010  keeping 5449206 ideals with weight <= 200, target excess is 30653
Wed Jun 30 18:54:48 2010  commencing in-memory singleton removal
Wed Jun 30 18:54:51 2010  begin with 6030795 relations and 5449206 unique ideals
Wed Jun 30 18:55:11 2010  reduce to 6027546 relations and 5445143 ideals in 8 passes
Wed Jun 30 18:55:11 2010  max relations containing the same ideal: 200
Wed Jun 30 18:55:23 2010  removing 1411065 relations and 1137642 ideals in 273423 cliques
Wed Jun 30 18:55:24 2010  commencing in-memory singleton removal
Wed Jun 30 18:55:26 2010  begin with 4616481 relations and 5445143 unique ideals
Wed Jun 30 18:55:44 2010  reduce to 4416612 relations and 4096737 ideals in 9 passes
Wed Jun 30 18:55:44 2010  max relations containing the same ideal: 169
Wed Jun 30 18:55:53 2010  removing 1050985 relations and 777562 ideals in 273423 cliques
Wed Jun 30 18:55:54 2010  commencing in-memory singleton removal
Wed Jun 30 18:55:55 2010  begin with 3365627 relations and 4096737 unique ideals
Wed Jun 30 18:56:06 2010  reduce to 3205337 relations and 3148836 ideals in 8 passes
Wed Jun 30 18:56:06 2010  max relations containing the same ideal: 135
Wed Jun 30 18:56:13 2010  removing 132148 relations and 111205 ideals in 20943 cliques
Wed Jun 30 18:56:13 2010  commencing in-memory singleton removal
Wed Jun 30 18:56:15 2010  begin with 3073189 relations and 3148836 unique ideals
Wed Jun 30 18:56:21 2010  reduce to 3070003 relations and 3034425 ideals in 5 passes
Wed Jun 30 18:56:21 2010  max relations containing the same ideal: 129
Wed Jun 30 18:56:24 2010  relations with 0 large ideals: 102
Wed Jun 30 18:56:24 2010  relations with 1 large ideals: 118
Wed Jun 30 18:56:24 2010  relations with 2 large ideals: 1780
Wed Jun 30 18:56:24 2010  relations with 3 large ideals: 19196
Wed Jun 30 18:56:24 2010  relations with 4 large ideals: 109526
Wed Jun 30 18:56:24 2010  relations with 5 large ideals: 365997
Wed Jun 30 18:56:24 2010  relations with 6 large ideals: 742823
Wed Jun 30 18:56:24 2010  relations with 7+ large ideals: 1830461
Wed Jun 30 18:56:24 2010  commencing 2-way merge
Wed Jun 30 18:56:32 2010  reduce to 2018737 relation sets and 1983159 unique ideals
Wed Jun 30 18:56:32 2010  commencing full merge
Wed Jun 30 18:58:20 2010  memory use: 238.6 MB
Wed Jun 30 18:58:20 2010  found 1031717 cycles, need 1027359
Wed Jun 30 18:58:21 2010  weight of 1027359 cycles is about 72274782 (70.35/cycle)
Wed Jun 30 18:58:21 2010  distribution of cycle lengths:
Wed Jun 30 18:58:21 2010  1 relations: 86685
Wed Jun 30 18:58:21 2010  2 relations: 114734
Wed Jun 30 18:58:21 2010  3 relations: 122246
Wed Jun 30 18:58:21 2010  4 relations: 115046
Wed Jun 30 18:58:21 2010  5 relations: 105483
Wed Jun 30 18:58:21 2010  6 relations: 93341
Wed Jun 30 18:58:21 2010  7 relations: 79554
Wed Jun 30 18:58:21 2010  8 relations: 67484
Wed Jun 30 18:58:21 2010  9 relations: 55530
Wed Jun 30 18:58:21 2010  10+ relations: 187256
Wed Jun 30 18:58:21 2010  heaviest cycle: 23 relations
Wed Jun 30 18:58:22 2010  commencing cycle optimization
Wed Jun 30 18:58:27 2010  start with 6198482 relations
Wed Jun 30 18:58:54 2010  pruned 179644 relations
Wed Jun 30 18:58:54 2010  memory use: 192.2 MB
Wed Jun 30 18:58:54 2010  distribution of cycle lengths:
Wed Jun 30 18:58:54 2010  1 relations: 86685
Wed Jun 30 18:58:54 2010  2 relations: 117341
Wed Jun 30 18:58:54 2010  3 relations: 127121
Wed Jun 30 18:58:54 2010  4 relations: 118354
Wed Jun 30 18:58:54 2010  5 relations: 108757
Wed Jun 30 18:58:54 2010  6 relations: 95116
Wed Jun 30 18:58:54 2010  7 relations: 80777
Wed Jun 30 18:58:54 2010  8 relations: 67513
Wed Jun 30 18:58:54 2010  9 relations: 54834
Wed Jun 30 18:58:54 2010  10+ relations: 170861
Wed Jun 30 18:58:54 2010  heaviest cycle: 23 relations
Wed Jun 30 18:58:58 2010  RelProcTime: 779
Wed Jun 30 18:58:58 2010
Wed Jun 30 18:58:58 2010  commencing linear algebra
Wed Jun 30 18:59:00 2010  read 1027359 cycles
Wed Jun 30 18:59:04 2010  cycles contain 3047708 unique relations
Wed Jun 30 18:59:39 2010  read 3047708 relations
Wed Jun 30 18:59:50 2010  using 20 quadratic characters above 134217614
Wed Jun 30 19:00:18 2010  building initial matrix
Wed Jun 30 19:01:21 2010  memory use: 388.5 MB
Wed Jun 30 19:01:22 2010  read 1027359 cycles
Wed Jun 30 19:01:23 2010  matrix is 1027182 x 1027359 (307.4 MB) with weight 96498332 (93.93/col)
Wed Jun 30 19:01:24 2010  sparse part has weight 69284304 (67.44/col)
Wed Jun 30 19:01:49 2010  filtering completed in 2 passes
Wed Jun 30 19:01:49 2010  matrix is 1027051 x 1027226 (307.4 MB) with weight 96493577 (93.94/col)
Wed Jun 30 19:01:49 2010  sparse part has weight 69283227 (67.45/col)
Wed Jun 30 19:02:00 2010  read 1027226 cycles
Wed Jun 30 19:02:02 2010  matrix is 1027051 x 1027226 (307.4 MB) with weight 96493577 (93.94/col)
Wed Jun 30 19:02:02 2010  sparse part has weight 69283227 (67.45/col)
Wed Jun 30 19:02:02 2010  saving the first 48 matrix rows for later
Wed Jun 30 19:02:03 2010  matrix is 1027003 x 1027226 (295.7 MB) with weight 76613331 (74.58/col)
Wed Jun 30 19:02:03 2010  sparse part has weight 67248862 (65.47/col)
Wed Jun 30 19:02:03 2010  matrix includes 64 packed rows
Wed Jun 30 19:02:03 2010  using block size 10922 for processor cache size 256 kB
Wed Jun 30 19:02:10 2010  commencing Lanczos iteration (2 threads)
Wed Jun 30 19:02:10 2010  memory use: 295.0 MB
Wed Jun 30 19:02:21 2010  linear algebra at 0.1%, ETA 4h 8m
Wed Jun 30 21:25:54 2010  lanczos halted after 9442 iterations (dim = 596947)
Wed Jun 30 21:25:54 2010  BLanczosTime: 8816
Wed Jun 30 21:25:54 2010
Wed Jun 30 21:25:54 2010  commencing square root phase
Wed Jun 30 21:25:54 2010  reading relations for dependency 1
Wed Jun 30 21:25:54 2010  error: read_cycles can't open dependency file
Wed Jun 30 21:26:11 2010
Wed Jun 30 21:26:11 2010
Wed Jun 30 21:26:11 2010  Msieve v. 1.46
Wed Jun 30 21:26:11 2010  random seeds: 002c7e87 c762a4c2
Wed Jun 30 21:26:11 2010  factoring 751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977 (123 digits)
Wed Jun 30 21:26:12 2010  no P-1/P+1/ECM available, skipping
Wed Jun 30 21:26:12 2010  commencing number field sieve (123-digit input)
Wed Jun 30 21:26:12 2010  R0: -857666033332364158161703
Wed Jun 30 21:26:12 2010  R1:  12206160367483
Wed Jun 30 21:26:12 2010  A0: -7270073499588044560864454224296
Wed Jun 30 21:26:12 2010  A1:  134320085797973316376602654
Wed Jun 30 21:26:12 2010  A2: -1042662099323539519318
Wed Jun 30 21:26:12 2010  A3: -1380449778881387
Wed Jun 30 21:26:12 2010  A4:  4272989126
Wed Jun 30 21:26:12 2010  A5:  1620
Wed Jun 30 21:26:12 2010  skew 1.00, size 6.352e-12, alpha -6.225, combined = 2.643e-12 rroots = 3
Wed Jun 30 21:26:12 2010
Wed Jun 30 21:26:12 2010  commencing linear algebra
Wed Jun 30 21:26:12 2010  read 1027226 cycles
Wed Jun 30 21:26:13 2010  matrix is 1027051 x 1027226 (307.4 MB) with weight 96493577 (93.94/col)
Wed Jun 30 21:26:13 2010  sparse part has weight 69283227 (67.45/col)
Wed Jun 30 21:26:13 2010  saving the first 48 matrix rows for later
Wed Jun 30 21:26:14 2010  matrix is 1027003 x 1027226 (295.7 MB) with weight 76613331 (74.58/col)
Wed Jun 30 21:26:14 2010  sparse part has weight 67248862 (65.47/col)
Wed Jun 30 21:26:14 2010  matrix includes 64 packed rows
Wed Jun 30 21:26:14 2010  using block size 10922 for processor cache size 256 kB
Wed Jun 30 21:26:20 2010  commencing Lanczos iteration (2 threads)
Wed Jun 30 21:26:20 2010  memory use: 295.0 MB
Wed Jun 30 21:26:21 2010  restarting at iteration 9442 (dim = 596947)
Wed Jun 30 21:26:31 2010  linear algebra at 58.2%, ETA 1h33m
Wed Jun 30 23:09:32 2010  lanczos halted after 16244 iterations (dim = 1027000)
Wed Jun 30 23:09:35 2010  recovered 27 nontrivial dependencies
Wed Jun 30 23:09:35 2010  BLanczosTime: 6203
Wed Jun 30 23:09:35 2010  elapsed time 01:43:24
Wed Jun 30 23:09:49 2010
Wed Jun 30 23:09:49 2010
Wed Jun 30 23:09:49 2010  Msieve v. 1.46
Wed Jun 30 23:09:49 2010  random seeds: 85cf03b6 f02157bb
Wed Jun 30 23:09:49 2010  factoring 751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977 (123 digits)
Wed Jun 30 23:09:50 2010  no P-1/P+1/ECM available, skipping
Wed Jun 30 23:09:50 2010  commencing number field sieve (123-digit input)
Wed Jun 30 23:09:50 2010  R0: -857666033332364158161703
Wed Jun 30 23:09:50 2010  R1:  12206160367483
Wed Jun 30 23:09:50 2010  A0: -7270073499588044560864454224296
Wed Jun 30 23:09:50 2010  A1:  134320085797973316376602654
Wed Jun 30 23:09:50 2010  A2: -1042662099323539519318
Wed Jun 30 23:09:50 2010  A3: -1380449778881387
Wed Jun 30 23:09:50 2010  A4:  4272989126
Wed Jun 30 23:09:50 2010  A5:  1620
Wed Jun 30 23:09:50 2010  skew 1.00, size 6.352e-12, alpha -6.225, combined = 2.643e-12 rroots = 3
Wed Jun 30 23:09:50 2010
Wed Jun 30 23:09:50 2010  commencing square root phase
Wed Jun 30 23:09:50 2010  reading relations for dependency 1
Wed Jun 30 23:09:51 2010  read 512629 cycles
Wed Jun 30 23:09:52 2010  cycles contain 1524440 unique relations
Wed Jun 30 23:10:12 2010  read 1524440 relations
Wed Jun 30 23:10:25 2010  multiplying 1524440 relations
Wed Jun 30 23:12:43 2010  multiply complete, coefficients have about 65.11 million bits
Wed Jun 30 23:12:44 2010  initial square root is modulo 2229104699
Wed Jun 30 23:16:56 2010  reading relations for dependency 2
Wed Jun 30 23:16:57 2010  read 513819 cycles
Wed Jun 30 23:16:58 2010  cycles contain 1524066 unique relations
Wed Jun 30 23:17:18 2010  read 1524066 relations
Wed Jun 30 23:17:31 2010  multiplying 1524066 relations
Wed Jun 30 23:19:49 2010  multiply complete, coefficients have about 65.10 million bits
Wed Jun 30 23:19:51 2010  initial square root is modulo 2219071307
Wed Jun 30 23:24:02 2010  reading relations for dependency 3
Wed Jun 30 23:24:03 2010  read 512700 cycles
Wed Jun 30 23:24:04 2010  cycles contain 1521192 unique relations
Wed Jun 30 23:24:24 2010  read 1521192 relations
Wed Jun 30 23:24:37 2010  multiplying 1521192 relations
Wed Jun 30 23:26:55 2010  multiply complete, coefficients have about 64.98 million bits
Wed Jun 30 23:26:56 2010  initial square root is modulo 2130413903
Wed Jun 30 23:31:09 2010  Newton iteration failed to converge
Wed Jun 30 23:31:09 2010  algebraic square root failed
Wed Jun 30 23:31:09 2010  reading relations for dependency 4
Wed Jun 30 23:31:09 2010  read 513866 cycles
Wed Jun 30 23:31:11 2010  cycles contain 1523508 unique relations
Wed Jun 30 23:31:30 2010  read 1523508 relations
Wed Jun 30 23:31:43 2010  multiplying 1523508 relations
Wed Jun 30 23:34:01 2010  multiply complete, coefficients have about 65.08 million bits
Wed Jun 30 23:34:02 2010  initial square root is modulo 2205539393
Wed Jun 30 23:38:15 2010  sqrtTime: 1705
Wed Jun 30 23:38:15 2010  prp53 factor: 15143108594550198118899835285284064399180193739119563
Wed Jun 30 23:38:15 2010  prp71 factor: 49648637432202862502291365717484506948318948700540135668665997987802579
Wed Jun 30 23:38:15 2010  elapsed time 00:28:26
                                                             
software ソフトウェア
cado-nfs for polynomial selection/sieving
msieve for post-processing
execution environment 実行環境
Athlon 64x2 2600+, 1GB RAM, Ubuntu Linux 10.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)

10212+3

c209

name 名前Robert Backstrom
date 日付August 17, 2009 18:59:21 UTC 2009 年 8 月 18 日 (火) 3 時 59 分 21 秒 (日本時間)
composite number 合成数
16815200941651252732470153018328569026399865478392466789978140238775853371447788801076172860265680174878089793173028417689591390617117874558600975281654615772658483268875063057003531192197746763073818732133849<209>
prime factors 素因数
72100344457846728686995566050906079023204339527194013<53>
233219425899999887904779450574060410914770791909686397507236849819912243596530554293769515201797100091341545546091157355719851915551928373643299913434059373<156>
factorization results 素因数分解の結果
Number: n
N=16815200941651252732470153018328569026399865478392466789978140238775853371447788801076172860265680174878089793173028417689591390617117874558600975281654615772658483268875063057003531192197746763073818732133849
  ( 209 digits)
SNFS difficulty: 213 digits.
Divisors found:

Tue Aug 18 04:27:28 2009  prp53 factor: 72100344457846728686995566050906079023204339527194013
Tue Aug 18 04:27:28 2009  prp156 factor: 233219425899999887904779450574060410914770791909686397507236849819912243596530554293769515201797100091341545546091157355719851915551928373643299913434059373
Tue Aug 18 04:27:28 2009  elapsed time 30:40:57 (Msieve 1.39 - dependency 9)

...
Msieve: warning: no irreducible prime found, switching to small primes
Msieve: Newton iteration failed several times (see at end, below)
...

Version: GGNFS-0.77.1-20050930-k8
Total time: 65.90 hours.
Scaled time: 132.86 units (timescale=2.016).
Factorization parameters were as follows:
name: KA_1_0_211_3
n: 16815200941651252732470153018328569026399865478392466789978140238775853371447788801076172860265680174878089793173028417689591390617117874558600975281654615772658483268875063057003531192197746763073818732133849
m: 200000000000000000000000000000000000
deg: 6
c6: 25
c0: 48
skew: 1.11
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [12500000, 27749990)
Primes: RFBsize:1565927, AFBsize:1566435, largePrimes:40192350 encountered
Relations: rels:39845888, finalFF:1905146
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9102934 hash collisions in 52197256 relations
Msieve: matrix is 3731532 x 3731780 (996.2 MB)

Total sieving time: 64.23 hours.
Total relation processing time: 1.67 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,58,58,2.6,2.6,100000
total time: 65.90 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3352028k/3407296k available (3120k kernel code, 53984k reserved, 1898k data, 424k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.97 BogoMIPS (lpj=2830989)
Calibrating delay using timer specific routine.. 5660.88 BogoMIPS (lpj=2830443)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.69 BogoMIPS).

...
Msieve: warning: no irreducible prime found, switching to small primes
Msieve: Newton iteration failed several times:
...
Tue Aug 18 02:20:00 2009  reading relations for dependency 7
Tue Aug 18 02:20:10 2009  read 1866396 cycles
Tue Aug 18 02:20:17 2009  cycles contain 6394091 unique relations
Tue Aug 18 02:21:41 2009  read 6394091 relations
Tue Aug 18 02:22:18 2009  multiplying 5186178 relations
Tue Aug 18 02:32:05 2009  multiply complete, coefficients have about 148.72 million bits
Tue Aug 18 02:32:07 2009  warning: no irreducible prime found, switching to small primes
Tue Aug 18 02:56:28 2009  initial square root is modulo 53
Tue Aug 18 03:18:43 2009  Newton iteration failed to converge
Tue Aug 18 03:18:43 2009  algebraic square root failed
Tue Aug 18 03:18:43 2009  reading relations for dependency 8
Tue Aug 18 03:18:53 2009  read 1865384 cycles
Tue Aug 18 03:19:00 2009  cycles contain 6392057 unique relations
Tue Aug 18 03:20:24 2009  read 6392057 relations
Tue Aug 18 03:21:01 2009  multiplying 5184576 relations
Tue Aug 18 03:30:49 2009  multiply complete, coefficients have about 148.68 million bits
Tue Aug 18 03:30:50 2009  warning: no irreducible prime found, switching to small primes
Tue Aug 18 03:30:50 2009  initial square root is modulo 53
Tue Aug 18 03:53:06 2009  Newton iteration failed to converge
Tue Aug 18 03:53:06 2009  algebraic square root failed
Tue Aug 18 03:53:06 2009  reading relations for dependency 9
Tue Aug 18 03:53:16 2009  read 1866216 cycles
Tue Aug 18 03:53:23 2009  cycles contain 6390913 unique relations
Tue Aug 18 03:54:47 2009  read 6390913 relations
Tue Aug 18 03:55:25 2009  multiplying 5183958 relations
Tue Aug 18 04:05:12 2009  multiply complete, coefficients have about 148.66 million bits
Tue Aug 18 04:05:13 2009  warning: no irreducible prime found, switching to small primes
Tue Aug 18 04:05:13 2009  initial square root is modulo 53
Tue Aug 18 04:27:28 2009  prp53 factor: 72100344457846728686995566050906079023204339527194013
Tue Aug 18 04:27:28 2009  prp156 factor: 233219425899999887904779450574060410914770791909686397507236849819912243596530554293769515201797100091341545546091157355719851915551928373643299913434059373
Tue Aug 18 04:27:28 2009  elapsed time 30:40:57

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6260Serge BatalovDecember 16, 2008 02:12:45 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 45 秒 (日本時間)
4511e6225020Serge BatalovDecember 16, 2008 02:12:45 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 45 秒 (日本時間)
400Serge BatalovJanuary 16, 2009 20:23:23 UTC 2009 年 1 月 17 日 (土) 5 時 23 分 23 秒 (日本時間)
1830Serge BatalovFebruary 7, 2009 09:29:44 UTC 2009 年 2 月 7 日 (土) 18 時 29 分 44 秒 (日本時間)
5043e6960 / 7039Serge BatalovFebruary 7, 2009 16:31:47 UTC 2009 年 2 月 8 日 (日) 1 時 31 分 47 秒 (日本時間)

10216+3

c198

name 名前Youcef Lemsafer
date 日付October 31, 2013 06:30:29 UTC 2013 年 10 月 31 日 (木) 15 時 30 分 29 秒 (日本時間)
composite number 合成数
464727894806381917382718260556330873831429153382989420435536615268075433169776375735700673656081885817695686079574546874110863931161054573908067853190417592686784819909216766687039872005727451786367<198>
prime factors 素因数
939976523582499442974833074933764299448760369<45>
494403725143241713582773693043764901339985288904544264718424321277808984728066387716324412658431236100024021167387125903615686474892750534462108440474543<153>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^216+3)/(4339*686773*722101747) (198 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1072290462
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 64522ms
Using 24 small primes for NTT
Estimated memory usage: 134M
Initializing tables of differences for F took 62ms
Computing roots of F took 1888ms
Building F from its roots took 2792ms
Computing 1/F took 1482ms
Initializing table of differences for G took 47ms
Computing roots of G took 1654ms
Building G from its roots took 2730ms
Computing roots of G took 1653ms
Building G from its roots took 2730ms
Computing G * H took 811ms
Reducing  G * H mod F took 827ms
Computing roots of G took 1685ms
Building G from its roots took 2714ms
Computing G * H took 811ms
Reducing  G * H mod F took 842ms
Computing polyeval(F,G) took 5336ms
Computing product of all F(g_i) took 15ms
Step 2 took 28204ms
********** Factor found in step 2: 939976523582499442974833074933764299448760369
Found probable prime factor of 45 digits: 939976523582499442974833074933764299448760369
Probable prime cofactor ((10^216+3)/(4339*686773*722101747))/939976523582499442974833074933764299448760369 has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 2, 2011 21:37:45 UTC 2011 年 6 月 3 日 (金) 6 時 37 分 45 秒 (日本時間)
403e62510110Ignacio SantosJune 2, 2011 21:37:45 UTC 2011 年 6 月 3 日 (金) 6 時 37 分 45 秒 (日本時間)
2400Youcef LemsaferOctober 23, 2013 21:47:00 UTC 2013 年 10 月 24 日 (木) 6 時 47 分 0 秒 (日本時間)
4511e62060 / 391032Ignacio SantosJune 2, 2011 21:37:45 UTC 2011 年 6 月 3 日 (金) 6 時 37 分 45 秒 (日本時間)
1024Youcef LemsaferOctober 27, 2013 08:34:34 UTC 2013 年 10 月 27 日 (日) 17 時 34 分 34 秒 (日本時間)
1004Youcef LemsaferOctober 31, 2013 06:29:11 UTC 2013 年 10 月 31 日 (木) 15 時 29 分 11 秒 (日本時間)

10218+3

c195

name 名前Youcef Lemsafer
date 日付December 22, 2015 21:23:51 UTC 2015 年 12 月 23 日 (水) 6 時 23 分 51 秒 (日本時間)
composite number 合成数
108721551407302052232712141490187045005121546273052490109524962967126094914561193108405127643269904111044967592951398889212633106082153409998231571187047848270018718011559496042674093569908144997<195>
prime factors 素因数
108775703897191982457265044413552644954990051<45>
999502163737399375656794117214590521270262077369393631965975172981692327091031470956101597383826544566005014164812623621716729926197306740975075482647<150>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.1.0] [ECM]
Input number is (10^218+3)/(613*2287*21067*31142611258687) (195 digits)
[Tue Dec 22 21:53:47 2015]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=43000000, B2=43000000-240490660426, polynomial Dickson(12), sigma=3975970246
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Step 1 took 294560ms
Using 24 small primes for NTT
Estimated memory usage: 273M
Initializing tables of differences for F took 68ms
Computing roots of F took 4560ms
Building F from its roots took 3540ms
Computing 1/F took 1572ms
Initializing table of differences for G took 100ms
Computing roots of G took 3464ms
Building G from its roots took 3888ms
Computing roots of G took 3564ms
Building G from its roots took 3872ms
Computing G * H took 796ms
Reducing  G * H mod F took 872ms
Computing roots of G took 3568ms
Building G from its roots took 3880ms
Computing G * H took 784ms
Reducing  G * H mod F took 876ms
Computing roots of G took 3552ms
Building G from its roots took 3888ms
Computing G * H took 752ms
Reducing  G * H mod F took 856ms
Computing roots of G took 3412ms
Building G from its roots took 4016ms
Computing G * H took 824ms
Reducing  G * H mod F took 888ms
Computing polyeval(F,G) took 7260ms
Computing product of all F(g_i) took 48ms
Step 2 took 61192ms
********** Factor found in step 2: 108775703897191982457265044413552644954990051
Found probable prime factor of 45 digits: 108775703897191982457265044413552644954990051
Probable prime cofactor ((10^218+3)/(613*2287*21067*31142611258687))/108775703897191982457265044413552644954990051 has 150 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 2, 2011 21:38:02 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 2 秒 (日本時間)
403e62510110Ignacio SantosJune 2, 2011 21:38:02 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 2 秒 (日本時間)
2400Youcef LemsaferOctober 24, 2013 09:16:41 UTC 2013 年 10 月 24 日 (木) 18 時 16 分 41 秒 (日本時間)
4511e63504 / 374932Ignacio SantosJune 2, 2011 21:38:02 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 2 秒 (日本時間)
400Youcef LemsaferOctober 24, 2013 09:16:41 UTC 2013 年 10 月 24 日 (木) 18 時 16 分 41 秒 (日本時間)
1024Youcef LemsaferOctober 27, 2013 16:09:46 UTC 2013 年 10 月 28 日 (月) 1 時 9 分 46 秒 (日本時間)
2048Youcef LemsaferNovember 1, 2013 05:45:27 UTC 2013 年 11 月 1 日 (金) 14 時 45 分 27 秒 (日本時間)
5043e646 / 6670Youcef LemsaferDecember 22, 2015 21:21:50 UTC 2015 年 12 月 23 日 (水) 6 時 21 分 50 秒 (日本時間)

10219+3

c190

name 名前Daniel Morel
date 日付September 9, 2016 11:12:55 UTC 2016 年 9 月 9 日 (金) 20 時 12 分 55 秒 (日本時間)
composite number 合成数
2212335135020946316160414768197269893460057280688580627231004642405276317140391110378099251944153412560142783598642235694078247389647383102587696871604753413116807044468713058920480051162203<190>
prime factors 素因数
16116614570482132249325369094738789713454819470901666001<56>
137270462437742829221197428521955876085386934403491880104168514834893464344285170642047593766269386224904544243869366070220672988964203<135>
factorization results 素因数分解の結果
Polynomial: X^5 + 30 ; m = 10^44
rlim = alim = 36000000
lpbr = lpba = 30
mfbr = mfba = 57
rlambda = alambda = 2.7
skew = 0.9
qintsize = 100000

Matrix : 4734579 x 4734756

time: 167 days or so

p56 = 16116614570482132249325369094738789713454819470901666001
p135 = 137270462437742829221197428521955876085386934403491880104168514834893464344285170642047593766269386224904544243869366070220672988964203
software ソフトウェア
GGNFS-0.77.1 (relations) and msieve 1.52 (matrix)
execution environment 実行環境
Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10  (Intel Core I5 3.2 GHz for matrix step)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 2, 2011 21:38:22 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 22 秒 (日本時間)
403e62510110Ignacio SantosJune 2, 2011 21:38:22 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 22 秒 (日本時間)
2400Youcef LemsaferOctober 24, 2013 14:32:10 UTC 2013 年 10 月 24 日 (木) 23 時 32 分 10 秒 (日本時間)
4511e6350332Ignacio SantosJune 2, 2011 21:38:22 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 22 秒 (日本時間)
400Youcef LemsaferOctober 24, 2013 19:39:11 UTC 2013 年 10 月 25 日 (金) 4 時 39 分 11 秒 (日本時間)
1023Youcef LemsaferOctober 27, 2013 22:55:45 UTC 2013 年 10 月 28 日 (月) 7 時 55 分 45 秒 (日本時間)
2048Youcef LemsaferNovember 1, 2013 14:34:43 UTC 2013 年 11 月 1 日 (金) 23 時 34 分 43 秒 (日本時間)
5043e61260 / 6670Youcef LemsaferDecember 23, 2015 08:02:18 UTC 2015 年 12 月 23 日 (水) 17 時 2 分 18 秒 (日本時間)

10220+3

c181

name 名前Daniel Morel
date 日付September 7, 2016 11:47:06 UTC 2016 年 9 月 7 日 (水) 20 時 47 分 6 秒 (日本時間)
composite number 合成数
5392951422694058020528177139776806519627575893348959980867646327961327721590664594207110116937902780324629515696534778260851069509643994127228921580088158226718711134222442785931599<181>
prime factors 素因数
7517990245089400883446743144051853006947808711804599069950817023411037445184749<79>
717339507884653717689419152493345716752711611892007254175523332405851497449979703630314086475844340651<102>
factorization results 素因数分解の結果
Polynomial: 16 X^6 + 75 ; m = 5*10^36
rlim = alim = 35000000
lpbr = lpba = 30
mfbr = mfba = 55
rlambda = alambda = 2.6
skew = 1.9
qintsize = 100000

Matrix : 3891411 x 3891589

time: 76 days or so

p79 = 7517990245089400883446743144051853006947808711804599069950817023411037445184749
p102 = 717339507884653717689419152493345716752711611892007254175523332405851497449979703630314086475844340651
software ソフトウェア
GGNFS-0.77.1 (relations) and msieve 1.52 (matrix)
execution environment 実行環境
Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10  (Intel Core I5 3.2 GHz for matrix step)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 2, 2011 21:38:54 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 54 秒 (日本時間)
403e62510110Ignacio SantosJune 2, 2011 21:38:54 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 54 秒 (日本時間)
2400Youcef LemsaferOctober 25, 2013 05:12:42 UTC 2013 年 10 月 25 日 (金) 14 時 12 分 42 秒 (日本時間)
4511e6350332Ignacio SantosJune 2, 2011 21:38:54 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 54 秒 (日本時間)
400Youcef LemsaferOctober 25, 2013 05:12:42 UTC 2013 年 10 月 25 日 (金) 14 時 12 分 42 秒 (日本時間)
1023Youcef LemsaferOctober 28, 2013 06:55:15 UTC 2013 年 10 月 28 日 (月) 15 時 55 分 15 秒 (日本時間)
2048Youcef LemsaferNovember 2, 2013 05:44:03 UTC 2013 年 11 月 2 日 (土) 14 時 44 分 3 秒 (日本時間)
5043e60 / 5137--
5511e7636 / 17530Youcef LemsaferDecember 24, 2015 08:17:29 UTC 2015 年 12 月 24 日 (木) 17 時 17 分 29 秒 (日本時間)

10221+3

c189

name 名前Daniel Morel
date 日付November 23, 2016 14:20:32 UTC 2016 年 11 月 23 日 (水) 23 時 20 分 32 秒 (日本時間)
composite number 合成数
101470838933508833845753541107431858518654829260353003402457716794060143479712112463746384258265042797210355126914080995691976856173257920222367497105389066353235770021087332676100318656417<189>
prime factors 素因数
507543081922125325239624985987546989269140440948091085291423<60>
199925567991640899618026549031642552703420824311209890294310809163191803436504703451572968795204054698674862375660930861134758079<129>
factorization results 素因数分解の結果
Polynomial: X^6 + 30 ; m = 10^37 ; skew = 6.6
rlim = alim = 36000000
lpbr = lpba = 30
mfbr = mfba = 51
rlambda = alambda = 2.7
qintsize = 100000

Matrix: 4175877 x 4176054

time: 280 days or so

p60 = 507543081922125325239624985987546989269140440948091085291423
p129 = 199925567991640899618026549031642552703420824311209890294310809163191803436504703451572968795204054698674862375660930861134758079
software ソフトウェア
GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)
execution environment 実行環境
Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 3, 2011 12:39:44 UTC 2011 年 6 月 3 日 (金) 21 時 39 分 44 秒 (日本時間)
403e62510110Ignacio SantosJune 3, 2011 12:39:44 UTC 2011 年 6 月 3 日 (金) 21 時 39 分 44 秒 (日本時間)
2400Youcef LemsaferOctober 25, 2013 09:07:22 UTC 2013 年 10 月 25 日 (金) 18 時 7 分 22 秒 (日本時間)
4511e63503 / 391032Ignacio SantosJune 3, 2011 12:39:44 UTC 2011 年 6 月 3 日 (金) 21 時 39 分 44 秒 (日本時間)
400Youcef LemsaferOctober 25, 2013 13:32:23 UTC 2013 年 10 月 25 日 (金) 22 時 32 分 23 秒 (日本時間)
1023Youcef LemsaferOctober 28, 2013 15:06:24 UTC 2013 年 10 月 29 日 (火) 0 時 6 分 24 秒 (日本時間)
2048Youcef LemsaferNovember 2, 2013 16:15:39 UTC 2013 年 11 月 3 日 (日) 1 時 15 分 39 秒 (日本時間)

10222+3

c220

name 名前Markus Tervooren
date 日付March 27, 2010 12:59:24 UTC 2010 年 3 月 27 日 (土) 21 時 59 分 24 秒 (日本時間)
composite number 合成数
1555209953343701399688958009331259720062208398133748055987558320373250388802488335925349922239502332814930015552099533437013996889580093312597200622083981337480559875583203732503888024883359253499222395023328149300155521<220>
prime factors 素因数
3148242305402789635024994608088558482102077976171949233030299168602906097691<76>
493993092804439047817632866453697558737161041031127165407362194138422204047269326180080502984324531973469095663174106362848032678697926320138131<144>
factorization results 素因数分解の結果
~110 CPU-days of sieving on Q6700 @ 3.3Ghz

Sun Mar 21 11:29:14 2010  Msieve v. 1.44
Sun Mar 21 11:29:14 2010  random seeds: f5321f7d 5b21f4a6
Sun Mar 21 11:29:14 2010  factoring 1555209953343701399688958009331259720062208398133748055987558320373250388802488335925349922239502332814930015552099533437013996889580093312597200622083981337480559875583203732503888024883359253499222395023328149300155521 (220 digits)
Sun Mar 21 11:29:16 2010  searching for 15-digit factors
Sun Mar 21 11:29:16 2010  commencing number field sieve (220-digit input)
Sun Mar 21 11:29:16 2010  R0: -10000000000000000000000000000000000000
Sun Mar 21 11:29:16 2010  R1:  1
Sun Mar 21 11:29:16 2010  A0:  3
Sun Mar 21 11:29:16 2010  A1:  0
Sun Mar 21 11:29:16 2010  A2:  0
Sun Mar 21 11:29:16 2010  A3:  0
Sun Mar 21 11:29:16 2010  A4:  0
Sun Mar 21 11:29:16 2010  A5:  0
Sun Mar 21 11:29:16 2010  A6:  1
Sun Mar 21 11:29:16 2010  skew 1.20, size 5.237129e-11, alpha 2.596324, combined = 2.126294e-12
Sun Mar 21 11:29:16 2010
Sun Mar 21 11:29:16 2010  commencing relation filtering
Sun Mar 21 11:29:16 2010  estimated available RAM is 8010.2 MB
Sun Mar 21 11:29:16 2010  commencing duplicate removal, pass 1
Sun Mar 21 11:29:27 2010  error -15 reading relation 1673674
Sun Mar 21 11:29:32 2010  error -5 reading relation 2566756
Sun Mar 21 11:33:45 2010  error -9 reading relation 35856759
Sun Mar 21 11:34:36 2010  error -9 reading relation 42637665
Sun Mar 21 11:35:24 2010  error -15 reading relation 48986911
Sun Mar 21 11:36:09 2010  error -1 reading relation 55166970
Sun Mar 21 11:36:49 2010  error -15 reading relation 60418929
Sun Mar 21 11:37:21 2010  error -5 reading relation 64670342
Sun Mar 21 11:37:24 2010  error -11 reading relation 65163260
Sun Mar 21 11:37:34 2010  error -11 reading relation 66533352
Sun Mar 21 11:37:58 2010  error -9 reading relation 69920063
Sun Mar 21 11:38:20 2010  error -9 reading relation 72871603
Sun Mar 21 11:38:23 2010  error -9 reading relation 73366664
Sun Mar 21 11:38:44 2010  error -15 reading relation 76159667
Sun Mar 21 11:38:46 2010  error -11 reading relation 76418500
Sun Mar 21 11:39:05 2010  error -5 reading relation 79028100
Sun Mar 21 11:39:08 2010  error -15 reading relation 79524119
Sun Mar 21 11:39:11 2010  error -15 reading relation 79977820
Sun Mar 21 11:39:17 2010  error -15 reading relation 80887485
Sun Mar 21 11:39:20 2010  error -11 reading relation 81336828
Sun Mar 21 11:39:57 2010  found 16514654 hash collisions in 87229557 relations
Sun Mar 21 11:40:07 2010  added 2437780 free relations
Sun Mar 21 11:40:07 2010  commencing duplicate removal, pass 2
Sun Mar 21 11:43:27 2010  found 14447454 duplicates and 75219883 unique relations
Sun Mar 21 11:43:27 2010  memory use: 596.8 MB
Sun Mar 21 11:43:27 2010  reading ideals above 50528256
Sun Mar 21 11:43:27 2010  commencing singleton removal, initial pass
Sun Mar 21 11:55:35 2010  memory use: 1506.0 MB
Sun Mar 21 11:55:36 2010  reading all ideals from disk
Sun Mar 21 11:55:52 2010  memory use: 1337.7 MB
Sun Mar 21 11:56:01 2010  commencing in-memory singleton removal
Sun Mar 21 11:56:10 2010  begin with 75219883 relations and 74869659 unique ideals
Sun Mar 21 11:57:45 2010  reduce to 31691419 relations and 24395147 ideals in 21 passes
Sun Mar 21 11:57:45 2010  max relations containing the same ideal: 28
Sun Mar 21 11:57:49 2010  reading ideals above 720000
Sun Mar 21 11:57:49 2010  commencing singleton removal, initial pass
Sun Mar 21 12:04:38 2010  memory use: 753.0 MB
Sun Mar 21 12:04:38 2010  reading all ideals from disk
Sun Mar 21 12:04:51 2010  memory use: 1150.8 MB
Sun Mar 21 12:04:59 2010  keeping 30289451 ideals with weight <= 200, target excess is 165478
Sun Mar 21 12:05:06 2010  commencing in-memory singleton removal
Sun Mar 21 12:05:13 2010  begin with 31691451 relations and 30289451 unique ideals
Sun Mar 21 12:06:54 2010  reduce to 31669231 relations and 30267075 ideals in 14 passes
Sun Mar 21 12:06:54 2010  max relations containing the same ideal: 200
Sun Mar 21 12:07:25 2010  removing 4034686 relations and 3634687 ideals in 400000 cliques
Sun Mar 21 12:07:27 2010  commencing in-memory singleton removal
Sun Mar 21 12:07:33 2010  begin with 27634545 relations and 30267075 unique ideals
Sun Mar 21 12:08:41 2010  reduce to 27153529 relations and 26142022 ideals in 11 passes
Sun Mar 21 12:08:41 2010  max relations containing the same ideal: 190
Sun Mar 21 12:09:08 2010  removing 2949657 relations and 2549658 ideals in 400000 cliques
Sun Mar 21 12:09:09 2010  commencing in-memory singleton removal
Sun Mar 21 12:09:15 2010  begin with 24203872 relations and 26142022 unique ideals
Sun Mar 21 12:10:19 2010  reduce to 23913365 relations and 23297040 ideals in 12 passes
Sun Mar 21 12:10:19 2010  max relations containing the same ideal: 174
Sun Mar 21 12:10:43 2010  removing 2600642 relations and 2200642 ideals in 400000 cliques
Sun Mar 21 12:10:44 2010  commencing in-memory singleton removal
Sun Mar 21 12:10:49 2010  begin with 21312723 relations and 23297040 unique ideals
Sun Mar 21 12:11:36 2010  reduce to 21057463 relations and 20836713 ideals in 10 passes
Sun Mar 21 12:11:36 2010  max relations containing the same ideal: 158
Sun Mar 21 12:11:57 2010  removing 294713 relations and 265918 ideals in 28795 cliques
Sun Mar 21 12:11:57 2010  commencing in-memory singleton removal
Sun Mar 21 12:12:02 2010  begin with 20762750 relations and 20836713 unique ideals
Sun Mar 21 12:12:29 2010  reduce to 20759395 relations and 20567435 ideals in 6 passes
Sun Mar 21 12:12:29 2010  max relations containing the same ideal: 157
Sun Mar 21 12:12:40 2010  relations with 0 large ideals: 12299
Sun Mar 21 12:12:40 2010  relations with 1 large ideals: 1847
Sun Mar 21 12:12:40 2010  relations with 2 large ideals: 9115
Sun Mar 21 12:12:40 2010  relations with 3 large ideals: 91900
Sun Mar 21 12:12:40 2010  relations with 4 large ideals: 539553
Sun Mar 21 12:12:40 2010  relations with 5 large ideals: 1898509
Sun Mar 21 12:12:40 2010  relations with 6 large ideals: 4126906
Sun Mar 21 12:12:40 2010  relations with 7+ large ideals: 14079266
Sun Mar 21 12:12:40 2010  commencing 2-way merge
Sun Mar 21 12:13:08 2010  reduce to 12404064 relation sets and 12212104 unique ideals
Sun Mar 21 12:13:08 2010  commencing full merge
Sun Mar 21 12:18:16 2010  memory use: 1571.7 MB
Sun Mar 21 12:18:18 2010  found 6517811 cycles, need 6496304
Sun Mar 21 12:18:21 2010  weight of 6496304 cycles is about 455016181 (70.04/cycle)
Sun Mar 21 12:18:21 2010  distribution of cycle lengths:
Sun Mar 21 12:18:21 2010  1 relations: 988015
Sun Mar 21 12:18:21 2010  2 relations: 843247
Sun Mar 21 12:18:21 2010  3 relations: 769790
Sun Mar 21 12:18:21 2010  4 relations: 662790
Sun Mar 21 12:18:21 2010  5 relations: 565873
Sun Mar 21 12:18:21 2010  6 relations: 482963
Sun Mar 21 12:18:21 2010  7 relations: 413816
Sun Mar 21 12:18:21 2010  8 relations: 345394
Sun Mar 21 12:18:21 2010  9 relations: 288953
Sun Mar 21 12:18:21 2010  10+ relations: 1135463
Sun Mar 21 12:18:21 2010  heaviest cycle: 27 relations
Sun Mar 21 12:18:23 2010  commencing cycle optimization
Sun Mar 21 12:18:36 2010  start with 36546096 relations
Sun Mar 21 12:19:45 2010  pruned 718052 relations
Sun Mar 21 12:19:45 2010  memory use: 1220.4 MB
Sun Mar 21 12:19:45 2010  distribution of cycle lengths:
Sun Mar 21 12:19:45 2010  1 relations: 988015
Sun Mar 21 12:19:45 2010  2 relations: 856649
Sun Mar 21 12:19:45 2010  3 relations: 790182
Sun Mar 21 12:19:45 2010  4 relations: 673090
Sun Mar 21 12:19:45 2010  5 relations: 575860
Sun Mar 21 12:19:45 2010  6 relations: 486983
Sun Mar 21 12:19:45 2010  7 relations: 415863
Sun Mar 21 12:19:45 2010  8 relations: 344734
Sun Mar 21 12:19:45 2010  9 relations: 286958
Sun Mar 21 12:19:45 2010  10+ relations: 1077970
Sun Mar 21 12:19:45 2010  heaviest cycle: 26 relations
Sun Mar 21 12:20:00 2010  RelProcTime: 3044
Sun Mar 21 12:20:00 2010  elapsed time 00:50:46
Sun Mar 21 12:21:56 2010
Sun Mar 21 12:21:56 2010
Sun Mar 21 12:21:56 2010  Msieve v. 1.44
Sun Mar 21 12:21:56 2010  random seeds: a3817e8c ba1a6893
Sun Mar 21 12:21:56 2010  factoring 1555209953343701399688958009331259720062208398133748055987558320373250388802488335925349922239502332814930015552099533437013996889580093312597200622083981337480559875583203732503888024883359253499222395023328149300155521 (220 digits)
Sun Mar 21 12:21:58 2010  searching for 15-digit factors
Sun Mar 21 12:21:58 2010  commencing number field sieve (220-digit input)
Sun Mar 21 12:21:58 2010  R0: -10000000000000000000000000000000000000
Sun Mar 21 12:21:58 2010  R1:  1
Sun Mar 21 12:21:58 2010  A0:  3
Sun Mar 21 12:21:58 2010  A1:  0
Sun Mar 21 12:21:58 2010  A2:  0
Sun Mar 21 12:21:58 2010  A3:  0
Sun Mar 21 12:21:58 2010  A4:  0
Sun Mar 21 12:21:58 2010  A5:  0
Sun Mar 21 12:21:58 2010  A6:  1
Sun Mar 21 12:21:58 2010  skew 1.20, size 5.237129e-11, alpha 2.596324, combined = 2.126294e-12
Sun Mar 21 12:21:58 2010
Sun Mar 21 12:21:58 2010  commencing linear algebra
Sun Mar 21 12:21:59 2010  read 6496304 cycles
Sun Mar 21 12:22:12 2010  cycles contain 20578290 unique relations
Sun Mar 21 12:25:40 2010  read 20578290 relations
Sun Mar 21 12:26:17 2010  using 20 quadratic characters above 1073740148
Sun Mar 21 12:27:58 2010  building initial matrix
Sun Mar 21 12:32:23 2010  memory use: 2525.8 MB
Sun Mar 21 12:32:28 2010  read 6496304 cycles
Sun Mar 21 12:32:31 2010  matrix is 6496127 x 6496304 (1959.9 MB) with weight 562586574 (86.60/col)
Sun Mar 21 12:32:31 2010  sparse part has weight 442328988 (68.09/col)
Sun Mar 21 12:34:01 2010  filtering completed in 2 passes
Sun Mar 21 12:34:02 2010  matrix is 6492112 x 6492289 (1959.7 MB) with weight 562488694 (86.64/col)
Sun Mar 21 12:34:02 2010  sparse part has weight 442304085 (68.13/col)
Sun Mar 21 12:34:47 2010  read 6492289 cycles
Sun Mar 21 12:34:50 2010  matrix is 6492112 x 6492289 (1959.7 MB) with weight 562488694 (86.64/col)
Sun Mar 21 12:34:50 2010  sparse part has weight 442304085 (68.13/col)
Sun Mar 21 12:34:50 2010  saving the first 48 matrix rows for later
Sun Mar 21 12:34:53 2010  matrix is 6492064 x 6492289 (1867.6 MB) with weight 456392533 (70.30/col)
Sun Mar 21 12:34:53 2010  sparse part has weight 424657668 (65.41/col)
Sun Mar 21 12:34:53 2010  matrix includes 64 packed rows
Sun Mar 21 12:34:53 2010  using block size 65536 for processor cache size 4096 kB
Sun Mar 21 12:35:15 2010  commencing Lanczos iteration (2 threads)
Sun Mar 21 12:35:15 2010  memory use: 1932.4 MB
Sun Mar 21 12:36:05 2010  linear algebra at 0.0%, ETA 108h34m
Sun Mar 21 18:39:39 2010  lanczos halted after 5767 iterations (dim = 364638)
Sun Mar 21 18:39:39 2010  BLanczosTime: 22661
Sun Mar 21 18:39:39 2010  elapsed time 06:17:43
Sat Mar 27 00:04:34 2010
Sat Mar 27 00:04:34 2010
Sat Mar 27 00:04:34 2010  Msieve v. 1.44
Sat Mar 27 00:04:34 2010  random seeds: 149a55f9 bd4f0510
Sat Mar 27 00:04:34 2010  factoring 1555209953343701399688958009331259720062208398133748055987558320373250388802488335925349922239502332814930015552099533437013996889580093312597200622083981337480559875583203732503888024883359253499222395023328149300155521 (220 digits)
Sat Mar 27 00:04:36 2010  searching for 15-digit factors
Sat Mar 27 00:04:37 2010  commencing number field sieve (220-digit input)
Sat Mar 27 00:04:37 2010  R0: -10000000000000000000000000000000000000
Sat Mar 27 00:04:37 2010  R1:  1
Sat Mar 27 00:04:37 2010  A0:  3
Sat Mar 27 00:04:37 2010  A1:  0
Sat Mar 27 00:04:37 2010  A2:  0
Sat Mar 27 00:04:37 2010  A3:  0
Sat Mar 27 00:04:37 2010  A4:  0
Sat Mar 27 00:04:37 2010  A5:  0
Sat Mar 27 00:04:37 2010  A6:  1
Sat Mar 27 00:04:37 2010  skew 1.20, size 5.237129e-11, alpha 2.596324, combined = 2.126294e-12
Sat Mar 27 00:04:37 2010
Sat Mar 27 00:04:37 2010  commencing linear algebra
Sat Mar 27 00:04:40 2010  read 6492289 cycles
Sat Mar 27 00:05:22 2010  matrix is 6492112 x 6492289 (1959.7 MB) with weight 562488694 (86.64/col)
Sat Mar 27 00:05:22 2010  sparse part has weight 442304085 (68.13/col)
Sat Mar 27 00:05:22 2010  saving the first 48 matrix rows for later
Sat Mar 27 00:05:25 2010  matrix is 6492064 x 6492289 (1867.6 MB) with weight 456392533 (70.30/col)
Sat Mar 27 00:05:25 2010  sparse part has weight 424657668 (65.41/col)
Sat Mar 27 00:05:25 2010  matrix includes 64 packed rows
Sat Mar 27 00:05:25 2010  using block size 65536 for processor cache size 4096 kB
Sat Mar 27 00:05:48 2010  commencing Lanczos iteration (4 threads)
Sat Mar 27 00:05:48 2010  memory use: 2031.5 MB
Sat Mar 27 00:05:53 2010  restarting at iteration 98051 (dim = 6200002)
Sat Mar 27 00:06:36 2010  linear algebra at 95.5%, ETA 4h34m
Sat Mar 27 04:27:40 2010  lanczos halted after 102670 iterations (dim = 6492062)
Sat Mar 27 04:27:53 2010  recovered 35 nontrivial dependencies
Sat Mar 27 04:27:53 2010  BLanczosTime: 15796
Sat Mar 27 04:27:53 2010  elapsed time 04:23:19
Sat Mar 27 08:20:16 2010
Sat Mar 27 08:20:16 2010
Sat Mar 27 08:20:16 2010  Msieve v. 1.44
Sat Mar 27 08:20:16 2010  random seeds: da8485ad 34f6f8f7
Sat Mar 27 08:20:16 2010  factoring 1555209953343701399688958009331259720062208398133748055987558320373250388802488335925349922239502332814930015552099533437013996889580093312597200622083981337480559875583203732503888024883359253499222395023328149300155521 (220 digits)
Sat Mar 27 08:20:18 2010  searching for 15-digit factors
Sat Mar 27 08:20:18 2010  commencing number field sieve (220-digit input)
Sat Mar 27 08:20:18 2010  R0: -10000000000000000000000000000000000000
Sat Mar 27 08:20:18 2010  R1:  1
Sat Mar 27 08:20:18 2010  A0:  3
Sat Mar 27 08:20:18 2010  A1:  0
Sat Mar 27 08:20:18 2010  A2:  0
Sat Mar 27 08:20:18 2010  A3:  0
Sat Mar 27 08:20:18 2010  A4:  0
Sat Mar 27 08:20:18 2010  A5:  0
Sat Mar 27 08:20:18 2010  A6:  1
Sat Mar 27 08:20:18 2010  skew 1.20, size 5.237129e-11, alpha 2.596324, combined = 2.126294e-12
Sat Mar 27 08:20:18 2010
Sat Mar 27 08:20:18 2010  commencing square root phase
Sat Mar 27 08:20:18 2010  reading relations for dependency 1
Sat Mar 27 08:20:19 2010  read 3247589 cycles
Sat Mar 27 08:20:25 2010  cycles contain 10289308 unique relations
Sat Mar 27 08:23:51 2010  read 10289308 relations
Sat Mar 27 08:24:51 2010  multiplying 10289308 relations
Sat Mar 27 08:33:56 2010  multiply complete, coefficients have about 248.38 million bits
Sat Mar 27 08:33:58 2010  warning: no irreducible prime found, switching to small primes
Sat Mar 27 08:33:58 2010  initial square root is modulo 53
Sat Mar 27 08:52:04 2010  Newton iteration failed to converge
Sat Mar 27 08:52:04 2010  algebraic square root failed
Sat Mar 27 08:52:04 2010  reading relations for dependency 2
Sat Mar 27 08:52:05 2010  read 3244000 cycles
Sat Mar 27 08:52:11 2010  cycles contain 10284582 unique relations
Sat Mar 27 08:55:33 2010  read 10284582 relations
Sat Mar 27 08:56:33 2010  multiplying 10284582 relations
Sat Mar 27 09:05:37 2010  multiply complete, coefficients have about 248.26 million bits
Sat Mar 27 09:05:40 2010  warning: no irreducible prime found, switching to small primes
Sat Mar 27 09:05:40 2010  initial square root is modulo 53
Sat Mar 27 09:23:45 2010  Newton iteration failed to converge
Sat Mar 27 09:23:45 2010  algebraic square root failed
Sat Mar 27 09:23:45 2010  reading relations for dependency 3
Sat Mar 27 09:23:54 2010  read 3246375 cycles
Sat Mar 27 09:24:00 2010  cycles contain 10292890 unique relations
Sat Mar 27 09:27:20 2010  read 10292890 relations
Sat Mar 27 09:28:20 2010  multiplying 10292890 relations
Sat Mar 27 09:37:21 2010  multiply complete, coefficients have about 248.47 million bits
Sat Mar 27 09:37:23 2010  warning: no irreducible prime found, switching to small primes
Sat Mar 27 09:37:23 2010  initial square root is modulo 53
Sat Mar 27 09:55:29 2010  Newton iteration failed to converge
Sat Mar 27 09:55:29 2010  algebraic square root failed
Sat Mar 27 09:55:29 2010  reading relations for dependency 4
Sat Mar 27 09:55:38 2010  read 3246171 cycles
Sat Mar 27 09:55:45 2010  cycles contain 10289306 unique relations
Sat Mar 27 09:59:04 2010  read 10289306 relations
Sat Mar 27 10:00:04 2010  multiplying 10289306 relations
Sat Mar 27 10:09:08 2010  multiply complete, coefficients have about 248.38 million bits
Sat Mar 27 10:09:10 2010  warning: no irreducible prime found, switching to small primes
Sat Mar 27 10:09:10 2010  initial square root is modulo 53
Sat Mar 27 10:27:52 2010  Newton iteration failed to converge
Sat Mar 27 10:27:53 2010  algebraic square root failed
Sat Mar 27 10:27:53 2010  reading relations for dependency 5
Sat Mar 27 10:28:02 2010  read 3245536 cycles
Sat Mar 27 10:28:08 2010  cycles contain 10286616 unique relations
Sat Mar 27 10:31:32 2010  read 10286616 relations
Sat Mar 27 10:32:35 2010  multiplying 10286616 relations
Sat Mar 27 10:41:50 2010  multiply complete, coefficients have about 248.32 million bits
Sat Mar 27 10:41:52 2010  warning: no irreducible prime found, switching to small primes
Sat Mar 27 10:41:52 2010  initial square root is modulo 53
Sat Mar 27 11:00:26 2010  Newton iteration failed to converge
Sat Mar 27 11:00:26 2010  algebraic square root failed
Sat Mar 27 11:00:26 2010  reading relations for dependency 6
Sat Mar 27 11:00:35 2010  read 3245160 cycles
Sat Mar 27 11:00:43 2010  cycles contain 10290394 unique relations
Sat Mar 27 11:04:02 2010  read 10290394 relations
Sat Mar 27 11:05:05 2010  multiplying 10290394 relations
Sat Mar 27 11:14:29 2010  multiply complete, coefficients have about 248.41 million bits
Sat Mar 27 11:14:31 2010  warning: no irreducible prime found, switching to small primes
Sat Mar 27 11:14:31 2010  initial square root is modulo 53
Sat Mar 27 11:33:22 2010  sqrtTime: 11584
Sat Mar 27 11:33:22 2010  prp76 factor: 3148242305402789635024994608088558482102077976171949233030299168602906097691
Sat Mar 27 11:33:22 2010  prp144 factor: 493993092804439047817632866453697558737161041031127165407362194138422204047269326180080502984324531973469095663174106362848032678697926320138131
Sat Mar 27 11:33:22 2010  elapsed time 03:13:06

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6260Serge BatalovDecember 16, 2008 02:12:27 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 27 秒 (日本時間)
4511e62420 / 442120Serge BatalovDecember 16, 2008 02:12:27 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 27 秒 (日本時間)
400Serge BatalovJanuary 16, 2009 20:22:54 UTC 2009 年 1 月 17 日 (土) 5 時 22 分 54 秒 (日本時間)
800Dmitry DomanovJanuary 10, 2010 22:07:47 UTC 2010 年 1 月 11 日 (月) 7 時 7 分 47 秒 (日本時間)
1200Markus TervoorenMarch 13, 2010 16:55:34 UTC 2010 年 3 月 14 日 (日) 1 時 55 分 34 秒 (日本時間)

10223+3

c211

name 名前Youcef Lemsafer
date 日付October 28, 2013 15:12:56 UTC 2013 年 10 月 29 日 (火) 0 時 12 分 56 秒 (日本時間)
composite number 合成数
2451614495742798461237609954389542919894362289056877538222666783895045972734945304654442736252203756409045872358242450455580423798000910100651491836954045773901763462948420540470156451674925896917129041325046661<211>
prime factors 素因数
913035390674408170115298808706662287133<39>
composite cofactor 合成数の残り
2685125374967040401989163497382327282454728048415012512898152480862852100914236515972360509964110016428420201869079658635048467377532096343836117140845175378733243022823817<172>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^223+3)/(13^2*269*89724043) (211 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3166333973
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 63991ms
Using 25 small primes for NTT
Estimated memory usage: 135M
Initializing tables of differences for F took 46ms
Computing roots of F took 1872ms
Building F from its roots took 2871ms
Computing 1/F took 1575ms
Initializing table of differences for G took 47ms
Computing roots of G took 1638ms
Building G from its roots took 2870ms
Computing roots of G took 1623ms
Building G from its roots took 2839ms
Computing G * H took 842ms
Reducing  G * H mod F took 858ms
Computing roots of G took 1670ms
Building G from its roots took 2823ms
Computing G * H took 858ms
Reducing  G * H mod F took 874ms
Computing polyeval(F,G) took 5600ms
Computing product of all F(g_i) took 31ms
Step 2 took 29079ms
********** Factor found in step 2: 913035390674408170115298808706662287133
Found probable prime factor of 39 digits: 913035390674408170115298808706662287133
Composite cofactor ((10^223+3)/(13^2*269*89724043))/913035390674408170115298808706662287133 has 172 digits

c172

name 名前Youcef Lemsafer
date 日付January 29, 2014 13:41:31 UTC 2014 年 1 月 29 日 (水) 22 時 41 分 31 秒 (日本時間)
composite number 合成数
2685125374967040401989163497382327282454728048415012512898152480862852100914236515972360509964110016428420201869079658635048467377532096343836117140845175378733243022823817<172>
prime factors 素因数
384661126691356660780331408224350136361923399807280371354103447<63>
6980495788755706348355702290276263503078451510616540726774399977333855126304290888044409803850241650637759711<109>
factorization results 素因数分解の結果
<Sieving rational q from 14000000 to 47800000 with gnfs-lasieve4I14e>
<using 4 threads on Intel Xeon W3530 @ 2.8 GHz and 24 threads on>
<2x Intel Xeon E5-2620 @ 2.0 GHz took ~5.75 days>

<Post-processing using msieve 1.51 win64>

Tue Jan 28 09:51:04 2014  
Tue Jan 28 09:51:04 2014  Msieve v. 1.51 (SVN Official Release)
Tue Jan 28 09:51:04 2014  random seeds: 2b8bae44 69c0b694
Tue Jan 28 09:51:04 2014  factoring 2685125374967040401989163497382327282454728048415012512898152480862852100914236515972360509964110016428420201869079658635048467377532096343836117140845175378733243022823817 (172 digits)
Tue Jan 28 09:51:05 2014  searching for 15-digit factors
Tue Jan 28 09:51:05 2014  commencing number field sieve (172-digit input)
Tue Jan 28 09:51:05 2014  R0: -10000000000000000000000000000000000000
Tue Jan 28 09:51:05 2014  R1: 1
Tue Jan 28 09:51:05 2014  A0: 3
Tue Jan 28 09:51:05 2014  A1: 0
Tue Jan 28 09:51:05 2014  A2: 0
Tue Jan 28 09:51:05 2014  A3: 0
Tue Jan 28 09:51:05 2014  A4: 0
Tue Jan 28 09:51:05 2014  A5: 0
Tue Jan 28 09:51:05 2014  A6: 10
Tue Jan 28 09:51:05 2014  skew 0.82, size 5.851e-011, alpha 0.295, combined = 2.288e-012 rroots = 0
Tue Jan 28 09:51:05 2014  
Tue Jan 28 09:51:05 2014  commencing relation filtering
Tue Jan 28 09:51:05 2014  estimated available RAM is 32739.1 MB
Tue Jan 28 09:51:05 2014  commencing duplicate removal, pass 1
Tue Jan 28 09:55:15 2014  skipped 1 relations with b > 2^32
Tue Jan 28 09:55:15 2014  found 8107409 hash collisions in 49610306 relations
Tue Jan 28 09:55:54 2014  added 1218559 free relations
Tue Jan 28 09:55:54 2014  commencing duplicate removal, pass 2
Tue Jan 28 09:56:28 2014  found 7484638 duplicates and 43344227 unique relations
Tue Jan 28 09:56:28 2014  memory use: 213.2 MB
Tue Jan 28 09:56:28 2014  reading ideals above 720000
Tue Jan 28 09:56:29 2014  commencing singleton removal, initial pass
Tue Jan 28 10:03:51 2014  memory use: 1378.0 MB
Tue Jan 28 10:03:52 2014  reading all ideals from disk
Tue Jan 28 10:03:53 2014  memory use: 1574.8 MB
Tue Jan 28 10:03:58 2014  keeping 45401217 ideals with weight <= 200, target excess is 224408
Tue Jan 28 10:04:03 2014  commencing in-memory singleton removal
Tue Jan 28 10:04:07 2014  begin with 43344227 relations and 45401217 unique ideals
Tue Jan 28 10:05:03 2014  reduce to 21982101 relations and 21153049 ideals in 20 passes
Tue Jan 28 10:05:03 2014  max relations containing the same ideal: 132
Tue Jan 28 10:05:16 2014  removing 2470964 relations and 2186595 ideals in 284369 cliques
Tue Jan 28 10:05:16 2014  commencing in-memory singleton removal
Tue Jan 28 10:05:18 2014  begin with 19511137 relations and 21153049 unique ideals
Tue Jan 28 10:05:47 2014  reduce to 19247276 relations and 18697572 ideals in 11 passes
Tue Jan 28 10:05:47 2014  max relations containing the same ideal: 122
Tue Jan 28 10:05:58 2014  removing 1831178 relations and 1546809 ideals in 284369 cliques
Tue Jan 28 10:05:59 2014  commencing in-memory singleton removal
Tue Jan 28 10:06:00 2014  begin with 17416098 relations and 18697572 unique ideals
Tue Jan 28 10:06:15 2014  reduce to 17263088 relations and 16995280 ideals in 9 passes
Tue Jan 28 10:06:15 2014  max relations containing the same ideal: 112
Tue Jan 28 10:06:28 2014  relations with 0 large ideals: 8254
Tue Jan 28 10:06:28 2014  relations with 1 large ideals: 2160
Tue Jan 28 10:06:28 2014  relations with 2 large ideals: 21295
Tue Jan 28 10:06:28 2014  relations with 3 large ideals: 179115
Tue Jan 28 10:06:28 2014  relations with 4 large ideals: 841422
Tue Jan 28 10:06:28 2014  relations with 5 large ideals: 2381716
Tue Jan 28 10:06:28 2014  relations with 6 large ideals: 4186493
Tue Jan 28 10:06:28 2014  relations with 7+ large ideals: 9642633
Tue Jan 28 10:06:28 2014  commencing 2-way merge
Tue Jan 28 10:06:42 2014  reduce to 10714359 relation sets and 10446551 unique ideals
Tue Jan 28 10:06:42 2014  commencing full merge
Tue Jan 28 10:10:50 2014  memory use: 1324.6 MB
Tue Jan 28 10:10:52 2014  found 5657981 cycles, need 5620751
Tue Jan 28 10:10:52 2014  weight of 5620751 cycles is about 393497313 (70.01/cycle)
Tue Jan 28 10:10:52 2014  distribution of cycle lengths:
Tue Jan 28 10:10:52 2014  1 relations: 846737
Tue Jan 28 10:10:52 2014  2 relations: 760338
Tue Jan 28 10:10:52 2014  3 relations: 690658
Tue Jan 28 10:10:52 2014  4 relations: 589934
Tue Jan 28 10:10:52 2014  5 relations: 505554
Tue Jan 28 10:10:52 2014  6 relations: 419223
Tue Jan 28 10:10:52 2014  7 relations: 353333
Tue Jan 28 10:10:52 2014  8 relations: 293459
Tue Jan 28 10:10:52 2014  9 relations: 243366
Tue Jan 28 10:10:52 2014  10+ relations: 918149
Tue Jan 28 10:10:52 2014  heaviest cycle: 24 relations
Tue Jan 28 10:10:54 2014  commencing cycle optimization
Tue Jan 28 10:11:01 2014  start with 30670329 relations
Tue Jan 28 10:12:13 2014  pruned 715121 relations
Tue Jan 28 10:12:13 2014  memory use: 1012.6 MB
Tue Jan 28 10:12:14 2014  distribution of cycle lengths:
Tue Jan 28 10:12:14 2014  1 relations: 846737
Tue Jan 28 10:12:14 2014  2 relations: 775676
Tue Jan 28 10:12:14 2014  3 relations: 713843
Tue Jan 28 10:12:14 2014  4 relations: 601364
Tue Jan 28 10:12:14 2014  5 relations: 514874
Tue Jan 28 10:12:14 2014  6 relations: 422572
Tue Jan 28 10:12:14 2014  7 relations: 354209
Tue Jan 28 10:12:14 2014  8 relations: 291185
Tue Jan 28 10:12:14 2014  9 relations: 240355
Tue Jan 28 10:12:14 2014  10+ relations: 859936
Tue Jan 28 10:12:14 2014  heaviest cycle: 24 relations
Tue Jan 28 10:12:20 2014  RelProcTime: 1275
Tue Jan 28 10:12:20 2014  elapsed time 00:21:16
<...snipped...>
Tue Jan 28 10:12:58 2014  commencing linear algebra
Tue Jan 28 10:13:00 2014  read 5620751 cycles
Tue Jan 28 10:13:11 2014  cycles contain 16947742 unique relations
Tue Jan 28 10:14:52 2014  read 16947742 relations
Tue Jan 28 10:15:27 2014  using 20 quadratic characters above 536870064
Tue Jan 28 10:17:24 2014  building initial matrix
Tue Jan 28 10:22:20 2014  memory use: 2230.1 MB
Tue Jan 28 10:22:25 2014  read 5620751 cycles
Tue Jan 28 10:22:28 2014  matrix is 5620571 x 5620751 (1686.2 MB) with weight 504973925 (89.84/col)
Tue Jan 28 10:22:28 2014  sparse part has weight 380206828 (67.64/col)
Tue Jan 28 10:23:53 2014  filtering completed in 2 passes
Tue Jan 28 10:23:56 2014  matrix is 5615887 x 5616065 (1685.9 MB) with weight 504818333 (89.89/col)
Tue Jan 28 10:23:56 2014  sparse part has weight 380160743 (67.69/col)
Tue Jan 28 10:24:37 2014  matrix starts at (0, 0)
Tue Jan 28 10:24:40 2014  matrix is 5615887 x 5616065 (1685.9 MB) with weight 504818333 (89.89/col)
Tue Jan 28 10:24:40 2014  sparse part has weight 380160743 (67.69/col)
Tue Jan 28 10:24:40 2014  saving the first 48 matrix rows for later
Tue Jan 28 10:24:42 2014  matrix includes 64 packed rows
Tue Jan 28 10:24:43 2014  matrix is 5615839 x 5616065 (1610.5 MB) with weight 400262268 (71.27/col)
Tue Jan 28 10:24:43 2014  sparse part has weight 366033251 (65.18/col)
Tue Jan 28 10:24:43 2014  using block size 65536 for processor cache size 15360 kB
Tue Jan 28 10:25:09 2014  commencing Lanczos iteration (16 threads)
Tue Jan 28 10:25:09 2014  memory use: 1953.5 MB
Tue Jan 28 10:25:36 2014  linear algebra at 0.0%, ETA 26h41m
Tue Jan 28 10:25:45 2014  checkpointing every 210000 dimensions
Wed Jan 29 13:26:48 2014  lanczos halted after 88814 iterations (dim = 5615834)
Wed Jan 29 13:26:58 2014  recovered 35 nontrivial dependencies
Wed Jan 29 13:27:00 2014  BLanczosTime: 98042
Wed Jan 29 13:27:00 2014  
Wed Jan 29 13:27:00 2014  commencing square root phase
Wed Jan 29 13:27:00 2014  reading relations for dependency 1
Wed Jan 29 13:27:02 2014  read 2808348 cycles
Wed Jan 29 13:27:06 2014  cycles contain 8472642 unique relations
Wed Jan 29 13:27:57 2014  read 8472642 relations
Wed Jan 29 13:28:49 2014  multiplying 8472642 relations
Wed Jan 29 13:36:36 2014  multiply complete, coefficients have about 231.48 million bits
Wed Jan 29 13:36:39 2014  initial square root is modulo 202823497
Wed Jan 29 13:47:03 2014  sqrtTime: 1203
Wed Jan 29 13:47:03 2014  prp63 factor: 384661126691356660780331408224350136361923399807280371354103447
Wed Jan 29 13:47:03 2014  prp109 factor: 6980495788755706348355702290276263503078451510616540726774399977333855126304290888044409803850241650637759711
Wed Jan 29 13:47:03 2014  elapsed time 27:34:07
software ソフトウェア
GGNFS (SVN 440), msieve 1.51

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 3, 2011 12:40:05 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 5 秒 (日本時間)
403e62510110Ignacio SantosJune 3, 2011 12:40:05 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 5 秒 (日本時間)
2400Youcef LemsaferOctober 25, 2013 19:02:15 UTC 2013 年 10 月 26 日 (土) 4 時 2 分 15 秒 (日本時間)
4511e6384032Ignacio SantosJune 3, 2011 12:40:05 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 5 秒 (日本時間)
400Youcef LemsaferOctober 25, 2013 21:37:57 UTC 2013 年 10 月 26 日 (土) 6 時 37 分 57 秒 (日本時間)
3408Youcef LemsaferOctober 30, 2013 04:59:40 UTC 2013 年 10 月 30 日 (水) 13 時 59 分 40 秒 (日本時間)
5043e633202040Youcef LemsaferOctober 31, 2013 04:53:27 UTC 2013 年 10 月 31 日 (木) 13 時 53 分 27 秒 (日本時間)
1280Youcef LemsaferDecember 8, 2013 13:50:23 UTC 2013 年 12 月 8 日 (日) 22 時 50 分 23 秒 (日本時間)
5511e71464 / 16324504Youcef LemsaferOctober 31, 2013 20:56:33 UTC 2013 年 11 月 1 日 (金) 5 時 56 分 33 秒 (日本時間)
960Youcef LemsaferNovember 10, 2013 18:25:25 UTC 2013 年 11 月 11 日 (月) 3 時 25 分 25 秒 (日本時間)

10224+3

c195

name 名前Daniel Morel
date 日付February 10, 2017 13:02:41 UTC 2017 年 2 月 10 日 (金) 22 時 2 分 41 秒 (日本時間)
composite number 合成数
338160310995671341657619781587674716045828875421323511536741154709110268731202603626964204530596553363389094045611455397564498846986795306368161432669711887037746593930129253315600450488672903169<195>
prime factors 素因数
12990698891657411076992159311045314886517612608111711<53>
26030955979807745884254818245405455117463020841137848235991631074036576683637020875736166767781501282998012566764565635316004963061923000498079<143>
factorization results 素因数分解の結果
Polynomial: X^5 + 30 ; m = 10^45 ; skew = 5
rlim = alim = 36000000
lpbr = lpba = 30
mfbr = mfba = 51
rlambda = alambda = 2.7
qintsize = 100000

Matrix: 5448026 x 5448205

time: 492 days so

p53 = 12990698891657411076992159311045314886517612608111711
p143 = 26030955979807745884254818245405455117463020841137848235991631074036576683637020875736166767781501282998012566764565635316004963061923000498079
software ソフトウェア
GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)
execution environment 実行環境
Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 3, 2011 12:40:28 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 28 秒 (日本時間)
403e62510110Ignacio SantosJune 3, 2011 12:40:28 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 28 秒 (日本時間)
2400Youcef LemsaferOctober 26, 2013 07:39:46 UTC 2013 年 10 月 26 日 (土) 16 時 39 分 46 秒 (日本時間)
4511e63503 / 391032Ignacio SantosJune 3, 2011 12:40:28 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 28 秒 (日本時間)
400Youcef LemsaferOctober 26, 2013 07:39:46 UTC 2013 年 10 月 26 日 (土) 16 時 39 分 46 秒 (日本時間)
1023Youcef LemsaferOctober 29, 2013 05:28:25 UTC 2013 年 10 月 29 日 (火) 14 時 28 分 25 秒 (日本時間)
2048Youcef LemsaferNovember 3, 2013 04:52:26 UTC 2013 年 11 月 3 日 (日) 13 時 52 分 26 秒 (日本時間)

10225+3

c224

name 名前Robert Backstrom
date 日付October 12, 2009 00:46:40 UTC 2009 年 10 月 12 日 (月) 9 時 46 分 40 秒 (日本時間)
composite number 合成数
21276595744680851063829787234042553191489361702127659574468085106382978723404255319148936170212765957446808510638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319149<224>
prime factors 素因数
55596542276628893687893904461674188425734045987539<50>
5081699578026248101117725776351792155214522626704131970999327867748681087438765113013<85>
75308738556551420873071265981065825474555301071112117762996787038235739437080945584086307<89>
factorization results 素因数分解の結果
Sieving ~ 170 CPU days + 147 hrs Lanczos with Msieve 1.42

Mon Oct  5 22:38:47 2009  
Mon Oct  5 22:38:47 2009  
Mon Oct  5 22:38:47 2009  Msieve v. 1.42
Mon Oct  5 22:38:47 2009  random seeds: a92c9797 c60b7a61
Mon Oct  5 22:38:47 2009  factoring 21276595744680851063829787234042553191489361702127659574468085106382978723404255319148936170212765957446808510638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319149 (224 digits)
Mon Oct  5 22:38:49 2009  no P-1/P+1/ECM available, skipping
Mon Oct  5 22:38:49 2009  commencing number field sieve (224-digit input)
Mon Oct  5 22:38:49 2009  R0: -20000000000000000000000000000000000000
Mon Oct  5 22:38:49 2009  R1:  1
Mon Oct  5 22:38:49 2009  A0:  24
Mon Oct  5 22:38:49 2009  A1:  0
Mon Oct  5 22:38:49 2009  A2:  0
Mon Oct  5 22:38:49 2009  A3:  0
Mon Oct  5 22:38:49 2009  A4:  0
Mon Oct  5 22:38:49 2009  A5:  0
Mon Oct  5 22:38:49 2009  A6:  125
Mon Oct  5 22:38:49 2009  skew 1.00, size 2.851665e-11, alpha 0.347772, combined = 1.390632e-12
Mon Oct  5 22:38:49 2009  
Mon Oct  5 22:38:49 2009  commencing relation filtering
Mon Oct  5 22:38:49 2009  estimated available RAM is 7924.4 MB
Mon Oct  5 22:38:49 2009  commencing duplicate removal, pass 1
Mon Oct  5 22:39:07 2009  error -11 reading relation 3251910
Mon Oct  5 22:39:54 2009  error -15 reading relation 11873790
Mon Oct  5 22:40:58 2009  error -11 reading relation 23569318
Mon Oct  5 22:41:28 2009  error -6 reading relation 28974234
Mon Oct  5 22:41:34 2009  error -11 reading relation 30144945
Mon Oct  5 22:41:58 2009  error -11 reading relation 34362278
Mon Oct  5 22:42:30 2009  error -11 reading relation 40140606
Mon Oct  5 22:42:49 2009  error -11 reading relation 43702742
Mon Oct  5 22:43:30 2009  error -6 reading relation 51057163
Mon Oct  5 22:43:34 2009  error -11 reading relation 51788557
Mon Oct  5 22:43:36 2009  error -11 reading relation 52106781
Mon Oct  5 22:43:41 2009  error -15 reading relation 52952486
Mon Oct  5 22:44:00 2009  error -11 reading relation 56495038
Mon Oct  5 22:44:01 2009  error -11 reading relation 56678613
Mon Oct  5 22:44:38 2009  error -11 reading relation 63414952
Mon Oct  5 22:44:40 2009  error -11 reading relation 63768255
Mon Oct  5 22:44:41 2009  error -11 reading relation 63804611
Mon Oct  5 22:46:05 2009  error -11 reading relation 79139720
Mon Oct  5 22:46:44 2009  found 12731978 hash collisions in 86131812 relations
Mon Oct  5 22:47:05 2009  added 1218273 free relations
Mon Oct  5 22:47:05 2009  commencing duplicate removal, pass 2
Mon Oct  5 22:48:25 2009  found 11567825 duplicates and 75782260 unique relations
Mon Oct  5 22:48:25 2009  memory use: 394.4 MB
Mon Oct  5 22:48:25 2009  reading ideals above 83951616
Mon Oct  5 22:48:25 2009  commencing singleton removal, initial pass
Mon Oct  5 22:57:02 2009  memory use: 1193.5 MB
Mon Oct  5 22:57:02 2009  reading all ideals from disk
Mon Oct  5 22:57:11 2009  memory use: 1256.8 MB
Mon Oct  5 22:57:18 2009  commencing in-memory singleton removal
Mon Oct  5 22:57:25 2009  begin with 75782260 relations and 70939492 unique ideals
Mon Oct  5 22:58:30 2009  reduce to 34052535 relations and 23016820 ideals in 17 passes
Mon Oct  5 22:58:30 2009  max relations containing the same ideal: 30
Mon Oct  5 22:58:34 2009  reading ideals above 720000
Mon Oct  5 22:58:35 2009  commencing singleton removal, initial pass
Mon Oct  5 23:03:57 2009  memory use: 596.8 MB
Mon Oct  5 23:03:58 2009  reading all ideals from disk
Mon Oct  5 23:04:09 2009  memory use: 1260.8 MB
Mon Oct  5 23:04:18 2009  keeping 32585445 ideals with weight <= 200, target excess is 178408
Mon Oct  5 23:04:26 2009  commencing in-memory singleton removal
Mon Oct  5 23:04:34 2009  begin with 34052577 relations and 32585445 unique ideals
Mon Oct  5 23:06:37 2009  reduce to 33793542 relations and 32325423 ideals in 15 passes
Mon Oct  5 23:06:37 2009  max relations containing the same ideal: 200
Mon Oct  5 23:07:13 2009  removing 3747467 relations and 3347468 ideals in 400000 cliques
Mon Oct  5 23:07:14 2009  commencing in-memory singleton removal
Mon Oct  5 23:07:22 2009  begin with 30046075 relations and 32325423 unique ideals
Mon Oct  5 23:08:41 2009  reduce to 29726997 relations and 28653594 ideals in 11 passes
Mon Oct  5 23:08:41 2009  max relations containing the same ideal: 189
Mon Oct  5 23:09:12 2009  removing 2727933 relations and 2327933 ideals in 400000 cliques
Mon Oct  5 23:09:14 2009  commencing in-memory singleton removal
Mon Oct  5 23:09:21 2009  begin with 26999064 relations and 28653594 unique ideals
Mon Oct  5 23:10:18 2009  reduce to 26809549 relations and 26133402 ideals in 9 passes
Mon Oct  5 23:10:18 2009  max relations containing the same ideal: 178
Mon Oct  5 23:10:47 2009  removing 2395260 relations and 1995260 ideals in 400000 cliques
Mon Oct  5 23:10:48 2009  commencing in-memory singleton removal
Mon Oct  5 23:10:54 2009  begin with 24414289 relations and 26133402 unique ideals
Mon Oct  5 23:11:41 2009  reduce to 24254867 relations and 23976350 ideals in 8 passes
Mon Oct  5 23:11:41 2009  max relations containing the same ideal: 170
Mon Oct  5 23:12:06 2009  removing 546494 relations and 474931 ideals in 71563 cliques
Mon Oct  5 23:12:07 2009  commencing in-memory singleton removal
Mon Oct  5 23:12:13 2009  begin with 23708373 relations and 23976350 unique ideals
Mon Oct  5 23:12:47 2009  reduce to 23699883 relations and 23492905 ideals in 6 passes
Mon Oct  5 23:12:47 2009  max relations containing the same ideal: 167
Mon Oct  5 23:12:58 2009  relations with 0 large ideals: 6457
Mon Oct  5 23:12:58 2009  relations with 1 large ideals: 1417
Mon Oct  5 23:12:58 2009  relations with 2 large ideals: 8809
Mon Oct  5 23:12:58 2009  relations with 3 large ideals: 90909
Mon Oct  5 23:12:58 2009  relations with 4 large ideals: 548714
Mon Oct  5 23:12:58 2009  relations with 5 large ideals: 1993979
Mon Oct  5 23:12:58 2009  relations with 6 large ideals: 4494587
Mon Oct  5 23:12:58 2009  relations with 7+ large ideals: 16555011
Mon Oct  5 23:12:58 2009  commencing 2-way merge
Mon Oct  5 23:13:32 2009  reduce to 14756653 relation sets and 14549675 unique ideals
Mon Oct  5 23:13:32 2009  commencing full merge
Mon Oct  5 23:19:52 2009  memory use: 1834.9 MB
Mon Oct  5 23:19:54 2009  found 7936903 cycles, need 7909875
Mon Oct  5 23:19:59 2009  weight of 7909875 cycles is about 553733050 (70.01/cycle)
Mon Oct  5 23:19:59 2009  distribution of cycle lengths:
Mon Oct  5 23:19:59 2009  1 relations: 1091511
Mon Oct  5 23:19:59 2009  2 relations: 1071229
Mon Oct  5 23:19:59 2009  3 relations: 1009555
Mon Oct  5 23:19:59 2009  4 relations: 864999
Mon Oct  5 23:19:59 2009  5 relations: 740720
Mon Oct  5 23:19:59 2009  6 relations: 619505
Mon Oct  5 23:19:59 2009  7 relations: 521785
Mon Oct  5 23:19:59 2009  8 relations: 434165
Mon Oct  5 23:19:59 2009  9 relations: 355277
Mon Oct  5 23:19:59 2009  10+ relations: 1201129
Mon Oct  5 23:19:59 2009  heaviest cycle: 24 relations
Mon Oct  5 23:20:01 2009  commencing cycle optimization
Mon Oct  5 23:20:20 2009  start with 42551860 relations
Mon Oct  5 23:21:46 2009  pruned 932820 relations
Mon Oct  5 23:21:46 2009  memory use: 1412.7 MB
Mon Oct  5 23:21:46 2009  distribution of cycle lengths:
Mon Oct  5 23:21:46 2009  1 relations: 1091511
Mon Oct  5 23:21:46 2009  2 relations: 1091986
Mon Oct  5 23:21:46 2009  3 relations: 1041031
Mon Oct  5 23:21:46 2009  4 relations: 880791
Mon Oct  5 23:21:46 2009  5 relations: 753600
Mon Oct  5 23:21:46 2009  6 relations: 623951
Mon Oct  5 23:21:46 2009  7 relations: 523485
Mon Oct  5 23:21:46 2009  8 relations: 430902
Mon Oct  5 23:21:46 2009  9 relations: 350799
Mon Oct  5 23:21:46 2009  10+ relations: 1121819
Mon Oct  5 23:21:46 2009  heaviest cycle: 23 relations
Mon Oct  5 23:22:03 2009  RelProcTime: 2594
Mon Oct  5 23:22:03 2009  
Mon Oct  5 23:22:03 2009  commencing linear algebra
Mon Oct  5 23:22:09 2009  read 7909875 cycles
Mon Oct  5 23:22:25 2009  cycles contain 23546063 unique relations
Mon Oct  5 23:24:51 2009  read 23546063 relations
Mon Oct  5 23:25:34 2009  using 20 quadratic characters above 1073739680
Mon Oct  5 23:27:32 2009  building initial matrix
Mon Oct  5 23:32:17 2009  memory use: 3001.5 MB
Mon Oct  5 23:32:22 2009  read 7909875 cycles
Mon Oct  5 23:32:28 2009  matrix is 7909697 x 7909875 (2379.0 MB) with weight 699771227 (88.47/col)
Mon Oct  5 23:32:28 2009  sparse part has weight 536644660 (67.84/col)
Mon Oct  5 23:34:17 2009  filtering completed in 2 passes
Mon Oct  5 23:34:19 2009  matrix is 7907420 x 7907598 (2378.9 MB) with weight 699711876 (88.49/col)
Mon Oct  5 23:34:19 2009  sparse part has weight 536632510 (67.86/col)
Mon Oct  5 23:34:56 2009  read 7907598 cycles
Mon Oct  5 23:35:01 2009  matrix is 7907420 x 7907598 (2378.9 MB) with weight 699711876 (88.49/col)
Mon Oct  5 23:35:01 2009  sparse part has weight 536632510 (67.86/col)
Mon Oct  5 23:35:01 2009  saving the first 48 matrix rows for later
Mon Oct  5 23:35:04 2009  matrix is 7907372 x 7907598 (2266.9 MB) with weight 556480788 (70.37/col)
Mon Oct  5 23:35:04 2009  sparse part has weight 515190655 (65.15/col)
Mon Oct  5 23:35:04 2009  matrix includes 64 packed rows
Mon Oct  5 23:35:04 2009  using block size 65536 for processor cache size 6144 kB
Mon Oct  5 23:35:35 2009  commencing Lanczos iteration (4 threads)
Mon Oct  5 23:35:35 2009  memory use: 2461.2 MB
Mon Oct 12 03:14:41 2009  lanczos halted after 125050 iterations (dim = 7907370)
Mon Oct 12 03:14:57 2009  recovered 37 nontrivial dependencies
Mon Oct 12 03:14:58 2009  BLanczosTime: 532375
Mon Oct 12 03:14:58 2009  
Mon Oct 12 03:14:58 2009  commencing square root phase
Mon Oct 12 03:14:58 2009  reading relations for dependency 1
Mon Oct 12 03:15:00 2009  read 3953999 cycles
Mon Oct 12 03:15:09 2009  cycles contain 14376401 unique relations
Mon Oct 12 03:16:52 2009  read 14376401 relations
Mon Oct 12 03:18:20 2009  multiplying 11773886 relations
Mon Oct 12 03:57:27 2009  multiply complete, coefficients have about 368.81 million bits
Mon Oct 12 03:57:30 2009  initial square root is modulo 4146367
Mon Oct 12 04:45:29 2009  reading relations for dependency 2
Mon Oct 12 04:45:32 2009  read 3952310 cycles
Mon Oct 12 04:45:41 2009  cycles contain 14373732 unique relations
Mon Oct 12 04:47:24 2009  read 14373732 relations
Mon Oct 12 04:48:52 2009  multiplying 11772002 relations
Mon Oct 12 05:27:58 2009  multiply complete, coefficients have about 368.75 million bits
Mon Oct 12 05:28:02 2009  initial square root is modulo 4136383
Mon Oct 12 06:16:19 2009  reading relations for dependency 3
Mon Oct 12 06:16:23 2009  read 3954075 cycles
Mon Oct 12 06:16:32 2009  cycles contain 14379643 unique relations
Mon Oct 12 06:18:15 2009  read 14379643 relations
Mon Oct 12 06:19:42 2009  multiplying 11773544 relations
Mon Oct 12 06:58:48 2009  multiply complete, coefficients have about 368.80 million bits
Mon Oct 12 06:58:51 2009  initial square root is modulo 4144423
Mon Oct 12 07:46:39 2009  reading relations for dependency 4
Mon Oct 12 07:46:43 2009  read 3955162 cycles
Mon Oct 12 07:46:51 2009  cycles contain 14381706 unique relations
Mon Oct 12 07:48:34 2009  read 14381706 relations
Mon Oct 12 07:50:02 2009  multiplying 11775114 relations
Mon Oct 12 08:29:07 2009  multiply complete, coefficients have about 368.85 million bits
Mon Oct 12 08:29:10 2009  initial square root is modulo 4153753
Mon Oct 12 09:17:18 2009  reading relations for dependency 5
Mon Oct 12 09:17:22 2009  read 3955387 cycles
Mon Oct 12 09:17:31 2009  cycles contain 14382445 unique relations
Mon Oct 12 09:19:14 2009  read 14382445 relations
Mon Oct 12 09:20:42 2009  multiplying 11776370 relations
Mon Oct 12 09:59:46 2009  multiply complete, coefficients have about 368.89 million bits
Mon Oct 12 09:59:49 2009  initial square root is modulo 4159699
Mon Oct 12 10:47:38 2009  sqrtTime: 27160
Mon Oct 12 10:47:38 2009  prp50 factor: 55596542276628893687893904461674188425734045987539
Mon Oct 12 10:47:38 2009  prp85 factor: 5081699578026248101117725776351792155214522626704131970999327867748681087438765113013
Mon Oct 12 10:47:38 2009  prp89 factor: 75308738556551420873071265981065825474555301071112117762996787038235739437080945584086307
Mon Oct 12 10:47:38 2009  elapsed time 156:08:51

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6260Serge BatalovDecember 16, 2008 02:12:01 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 1 秒 (日本時間)
4511e63620 / 442120Serge BatalovDecember 16, 2008 02:12:01 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 1 秒 (日本時間)
3200Serge BatalovDecember 29, 2008 22:06:18 UTC 2008 年 12 月 30 日 (火) 7 時 6 分 18 秒 (日本時間)
400Serge BatalovJanuary 16, 2009 20:22:15 UTC 2009 年 1 月 17 日 (土) 5 時 22 分 15 秒 (日本時間)

10226+3

c207

name 名前Daniel Morel
date 日付March 6, 2018 16:21:52 UTC 2018 年 3 月 7 日 (水) 1 時 21 分 52 秒 (日本時間)
composite number 合成数
149844269213987113270516108112325990629275497390228465128673262699071996750762376707578918116965186423563376854164193031946190009312430389227025510839710178521837055715516444664922173137652295903796631770611<207>
prime factors 素因数
46437523419624340982044974630626670929833772118148423590418685581135143231194671302115835591340473209<101>
3226792864467518735501210746441067918371571938659326374471641706348941250858992315649693696803655304811979<106>
factorization results 素因数分解の結果
Polynomial: X^6 + 300 ; m = 10^38 ; skew = 5
rlim = alim = 45000000
lpbr = lpba = 30
mfbr = mfba = 53
rlambda = alambda = 2.7
qintsize = 100000

Matrix: 5197688 x 5197865

time: 240 days or so

p101 = 46437523419624340982044974630626670929833772118148423590418685581135143231194671302115835591340473209
p106 = 3226792864467518735501210746441067918371571938659326374471641706348941250858992315649693696803655304811979
software ソフトウェア
GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)
execution environment 実行環境
Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 3, 2011 13:33:19 UTC 2011 年 6 月 3 日 (金) 22 時 33 分 19 秒 (日本時間)
403e62510110Ignacio SantosJune 3, 2011 13:33:19 UTC 2011 年 6 月 3 日 (金) 22 時 33 分 19 秒 (日本時間)
2400Youcef LemsaferOctober 26, 2013 13:19:42 UTC 2013 年 10 月 26 日 (土) 22 時 19 分 42 秒 (日本時間)
4511e63503 / 391032Ignacio SantosJune 3, 2011 13:33:19 UTC 2011 年 6 月 3 日 (金) 22 時 33 分 19 秒 (日本時間)
400Youcef LemsaferOctober 26, 2013 17:07:16 UTC 2013 年 10 月 27 日 (日) 2 時 7 分 16 秒 (日本時間)
1023Youcef LemsaferOctober 29, 2013 09:42:57 UTC 2013 年 10 月 29 日 (火) 18 時 42 分 57 秒 (日本時間)
2048Youcef LemsaferNovember 3, 2013 15:26:06 UTC 2013 年 11 月 4 日 (月) 0 時 26 分 6 秒 (日本時間)

10227+3

c211

composite cofactor 合成数の残り
1303937083905476997501540852798070957677781158059309006089273235934202003529500093511127391163266404301634990770786547912566140543169063266270658616274046756970645414747280602308503190694407555601452288281206053<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 3, 2011 15:01:47 UTC 2011 年 6 月 4 日 (土) 0 時 1 分 47 秒 (日本時間)
403e62156110Ignacio SantosJune 3, 2011 15:01:47 UTC 2011 年 6 月 4 日 (土) 0 時 1 分 47 秒 (日本時間)
2046Youcef LemsaferOctober 29, 2013 16:22:01 UTC 2013 年 10 月 30 日 (水) 1 時 22 分 1 秒 (日本時間)
4511e62578 / 398832Ignacio SantosJune 3, 2011 15:01:47 UTC 2011 年 6 月 4 日 (土) 0 時 1 分 47 秒 (日本時間)
498Youcef LemsaferOctober 29, 2013 19:46:36 UTC 2013 年 10 月 30 日 (水) 4 時 46 分 36 秒 (日本時間)
2048Youcef LemsaferNovember 4, 2013 05:09:36 UTC 2013 年 11 月 4 日 (月) 14 時 9 分 36 秒 (日本時間)

10228+3

c193

name 名前Serge Batalov
date 日付March 20, 2011 19:23:18 UTC 2011 年 3 月 21 日 (月) 4 時 23 分 18 秒 (日本時間)
composite number 合成数
3354236512997066115957206225930999743339925877410497521481149353858557833379730711016115321338655398055287404773435653056412792384846025310346612111629443231904356775596779664016308395618811651<193>
prime factors 素因数
18280536504154522938833644798694650223149<41>
183486765404000377128641658552037408244939377334748204695593827970529162048666372445631007013282420737215114704493178191568823429827267948141302062345199<153>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3092122343
Step 1 took 9617ms
Step 2 took 4092ms
********** Factor found in step 2: 18280536504154522938833644798694650223149
Found probable prime factor of 41 digits: 18280536504154522938833644798694650223149
Probable prime cofactor 183486765404000377128641658552037408244939377334748204695593827970529162048666372445631007013282420737215114704493178191568823429827267948141302062345199 has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)

10229+3

c164

name 名前Youcef Lemsafer
date 日付November 4, 2013 17:56:39 UTC 2013 年 11 月 5 日 (火) 2 時 56 分 39 秒 (日本時間)
composite number 合成数
41822171647168362658352103882111412836230392514870274089792629749055918393230577260423231314963473007967384952850787060019323657056401447371346520887078649761413767<164>
prime factors 素因数
441443102327959808491392217234487702469085279<45>
1786154442378392850030230903138274176856789626087550133<55>
53041138430459914838989073642744926435565547785444912322629903381<65>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^229+3)/(13*23*43*12043*1014358410733*220535229192001*6903187661215142971687367557123) (164 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=328228008
dF=65536, k=3, d=690690, d2=17, i0=28
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
66      310     1703    10622   73962   567973  4760535 4.3e+007        4.3e+008        4.5e+009
Step 1 took 221880ms
Using 20 small primes for NTT
Estimated memory usage: 230M
Initializing tables of differences for F took 62ms
Computing roots of F took 4275ms
Building F from its roots took 7410ms
Computing 1/F took 3323ms
Initializing table of differences for G took 63ms
Computing roots of G took 3946ms
Building G from its roots took 7972ms
Computing roots of G took 4680ms
Building G from its roots took 7426ms
Computing G * H took 1653ms
Reducing  G * H mod F took 1981ms
Computing roots of G took 4930ms
Building G from its roots took 7457ms
Computing G * H took 2012ms
Reducing  G * H mod F took 2091ms
Computing polyeval(F,G) took 14945ms
Computing product of all F(g_i) took 47ms
Step 2 took 74631ms
********** Factor found in step 2: 441443102327959808491392217234487702469085279
Found probable prime factor of 45 digits: 441443102327959808491392217234487702469085279
Composite cofactor ((10^229+3)/(13*23*43*12043*1014358410733*220535229192001*6903187661215142971687367557123))/441443102327959808491392217234487702469085279 has 119 digits





Mon Nov 04 14:32:49 2013 -> factmsieve.py (v0.76)
Mon Nov 04 14:32:49 2013 -> This is client 1 of 1
Mon Nov 04 14:32:49 2013 -> Running on 12 Cores with 2 hyper-threads per Core
Mon Nov 04 14:32:49 2013 -> Working with NAME = 10003_229
Mon Nov 04 14:32:49 2013 -> Running polynomial selection ...
Mon Nov 04 14:32:49 2013  
Mon Nov 04 14:32:49 2013  
Mon Nov 04 14:32:49 2013  Msieve v. 1.50 (SVN 708)
Mon Nov 04 14:32:49 2013  random seeds: e0d64680 2f21e3b5
Mon Nov 04 14:32:49 2013  factoring 94739665036373272532151784181371363807291378987966483602428694263842160324946006788899733397309812848242712456783699673 (119 digits)
Mon Nov 04 14:32:50 2013  searching for 15-digit factors
Mon Nov 04 14:32:51 2013  commencing number field sieve (119-digit input)
Mon Nov 04 14:32:51 2013  commencing number field sieve polynomial selection
Mon Nov 04 14:32:51 2013  time limit set to 3.63 CPU-hours
Mon Nov 04 14:32:51 2013  expecting poly E from 3.25e-010 to 3.74e-010
Mon Nov 04 14:32:51 2013  searching leading coefficients from 1 to 296282
Mon Nov 04 15:25:06 2013  polynomial selection complete
Mon Nov 04 15:25:06 2013  R0: -213017387539270353943693
Mon Nov 04 15:25:06 2013  R1: 475361151671
Mon Nov 04 15:25:06 2013  A0: -7747176833691078026286572605440
Mon Nov 04 15:25:06 2013  A1: 40768983656856893132872616
Mon Nov 04 15:25:06 2013  A2: -91321118346630517654
Mon Nov 04 15:25:06 2013  A3: -118583425993291
Mon Nov 04 15:25:06 2013  A4: 629162070
Mon Nov 04 15:25:06 2013  A5: 216
Mon Nov 04 15:25:06 2013  skew 649904.03, size 2.454e-011, alpha -7.205, combined = 3.578e-010 rroots = 3
Mon Nov 04 15:25:06 2013  elapsed time 00:52:17
<snip>
Mon Nov 04 15:33:59 2013 -> Selected lattice siever: gnfs-lasieve4I13e
Mon Nov 04 15:33:59 2013 -> Creating param file to detect parameter changes...
Mon Nov 04 15:34:00 2013 -> Running setup ...
Mon Nov 04 15:34:00 2013 -> Estimated minimum relations needed: 8.7e+06
Mon Nov 04 15:34:00 2013 -> cleaning up before a restart
Mon Nov 04 15:34:00 2013 -> Running lattice siever ...
Mon Nov 04 15:34:00 2013 -> entering sieving loop
<snip>
Mon Nov 04 16:04:12 2013 Found 1990208 relations, 22.9% of the estimated minimum (8700000).
<snip>
Mon Nov 04 16:40:47 2013 Found 4651833 relations, 53.5% of the estimated minimum (8700000).
<snip>
Mon Nov 04 17:47:13 2013 Found 9336073 relations, 107.3% of the estimated minimum (8700000).
<snip>
Mon Nov 04 17:59:17 2013 Found 10051914 relations, 115.5% of the estimated minimum (8700000).
<snip>
Mon Nov 04 17:59:18 2013  
Mon Nov 04 17:59:18 2013  commencing relation filtering
Mon Nov 04 17:59:19 2013  estimated available RAM is 4096.0 MB
Mon Nov 04 17:59:19 2013  commencing duplicate removal, pass 1
Mon Nov 04 18:00:18 2013  found 946438 hash collisions in 10051913 relations
Mon Nov 04 18:00:41 2013  added 208 free relations
Mon Nov 04 18:00:41 2013  commencing duplicate removal, pass 2
Mon Nov 04 18:00:47 2013  found 695288 duplicates and 9356833 unique relations
Mon Nov 04 18:00:47 2013  memory use: 34.6 MB
Mon Nov 04 18:00:47 2013  reading ideals above 100000
Mon Nov 04 18:00:47 2013  commencing singleton removal, initial pass
Mon Nov 04 18:02:10 2013  memory use: 344.5 MB
Mon Nov 04 18:02:10 2013  reading all ideals from disk
Mon Nov 04 18:02:10 2013  memory use: 327.5 MB
Mon Nov 04 18:02:11 2013  keeping 10420418 ideals with weight <= 200, target excess is 48942
Mon Nov 04 18:02:11 2013  commencing in-memory singleton removal
Mon Nov 04 18:02:12 2013  begin with 9356833 relations and 10420418 unique ideals
Mon Nov 04 18:02:17 2013  reduce to 3134287 relations and 3031539 ideals in 21 passes
Mon Nov 04 18:02:17 2013  max relations containing the same ideal: 96
Mon Nov 04 18:02:18 2013  removing 307390 relations and 284402 ideals in 22988 cliques
Mon Nov 04 18:02:19 2013  commencing in-memory singleton removal
Mon Nov 04 18:02:19 2013  begin with 2826897 relations and 3031539 unique ideals
Mon Nov 04 18:02:20 2013  reduce to 2803085 relations and 2723049 ideals in 9 passes
Mon Nov 04 18:02:20 2013  max relations containing the same ideal: 88
Mon Nov 04 18:02:21 2013  removing 221939 relations and 198951 ideals in 22988 cliques
Mon Nov 04 18:02:21 2013  commencing in-memory singleton removal
Mon Nov 04 18:02:21 2013  begin with 2581146 relations and 2723049 unique ideals
Mon Nov 04 18:02:22 2013  reduce to 2566878 relations and 2509681 ideals in 8 passes
Mon Nov 04 18:02:22 2013  max relations containing the same ideal: 84
Mon Nov 04 18:02:24 2013  relations with 0 large ideals: 129
Mon Nov 04 18:02:24 2013  relations with 1 large ideals: 470
Mon Nov 04 18:02:24 2013  relations with 2 large ideals: 7396
Mon Nov 04 18:02:24 2013  relations with 3 large ideals: 59199
Mon Nov 04 18:02:24 2013  relations with 4 large ideals: 247355
Mon Nov 04 18:02:24 2013  relations with 5 large ideals: 578972
Mon Nov 04 18:02:24 2013  relations with 6 large ideals: 773821
Mon Nov 04 18:02:24 2013  relations with 7+ large ideals: 899536
Mon Nov 04 18:02:24 2013  commencing 2-way merge
Mon Nov 04 18:02:25 2013  reduce to 1416157 relation sets and 1358963 unique ideals
Mon Nov 04 18:02:25 2013  ignored 3 oversize relation sets
Mon Nov 04 18:02:25 2013  commencing full merge
Mon Nov 04 18:02:46 2013  memory use: 128.7 MB
Mon Nov 04 18:02:46 2013  found 707418 cycles, need 701163
Mon Nov 04 18:02:46 2013  weight of 701163 cycles is about 49119111 (70.05/cycle)
Mon Nov 04 18:02:46 2013  distribution of cycle lengths:
Mon Nov 04 18:02:46 2013  1 relations: 86030
Mon Nov 04 18:02:46 2013  2 relations: 85598
Mon Nov 04 18:02:46 2013  3 relations: 85719
Mon Nov 04 18:02:46 2013  4 relations: 75391
Mon Nov 04 18:02:46 2013  5 relations: 63745
Mon Nov 04 18:02:46 2013  6 relations: 55283
Mon Nov 04 18:02:46 2013  7 relations: 46274
Mon Nov 04 18:02:46 2013  8 relations: 38154
Mon Nov 04 18:02:46 2013  9 relations: 31289
Mon Nov 04 18:02:46 2013  10+ relations: 133680
Mon Nov 04 18:02:46 2013  heaviest cycle: 24 relations
Mon Nov 04 18:02:46 2013  commencing cycle optimization
Mon Nov 04 18:02:47 2013  start with 4160454 relations
Mon Nov 04 18:02:55 2013  pruned 71635 relations
Mon Nov 04 18:02:55 2013  memory use: 115.0 MB
Mon Nov 04 18:02:55 2013  distribution of cycle lengths:
Mon Nov 04 18:02:55 2013  1 relations: 86030
Mon Nov 04 18:02:55 2013  2 relations: 87320
Mon Nov 04 18:02:55 2013  3 relations: 88141
Mon Nov 04 18:02:55 2013  4 relations: 76466
Mon Nov 04 18:02:55 2013  5 relations: 64706
Mon Nov 04 18:02:55 2013  6 relations: 55348
Mon Nov 04 18:02:55 2013  7 relations: 46140
Mon Nov 04 18:02:55 2013  8 relations: 37770
Mon Nov 04 18:02:55 2013  9 relations: 30906
Mon Nov 04 18:02:55 2013  10+ relations: 128336
Mon Nov 04 18:02:55 2013  heaviest cycle: 24 relations
Mon Nov 04 18:02:55 2013  RelProcTime: 217
Mon Nov 04 18:02:55 2013  elapsed time 00:03:38
Mon Nov 04 18:02:55 2013 LatSieveTime: 773.886
Mon Nov 04 18:02:55 2013 -> Running matrix solving step ...
Mon Nov 04 18:02:55 2013  
Mon Nov 04 18:02:55 2013  
<snip>
Mon Nov 04 18:02:57 2013  commencing linear algebra
Mon Nov 04 18:02:57 2013  read 701163 cycles
Mon Nov 04 18:02:58 2013  cycles contain 2490622 unique relations
Mon Nov 04 18:03:14 2013  read 2490622 relations
Mon Nov 04 18:03:17 2013  using 20 quadratic characters above 134217324
Mon Nov 04 18:03:30 2013  building initial matrix
Mon Nov 04 18:04:01 2013  memory use: 288.1 MB
Mon Nov 04 18:04:02 2013  read 701163 cycles
Mon Nov 04 18:04:03 2013  matrix is 700982 x 701163 (199.5 MB) with weight 66457950 (94.78/col)
Mon Nov 04 18:04:03 2013  sparse part has weight 47387622 (67.58/col)
Mon Nov 04 18:04:09 2013  filtering completed in 2 passes
Mon Nov 04 18:04:10 2013  matrix is 698953 x 699133 (199.3 MB) with weight 66373645 (94.94/col)
Mon Nov 04 18:04:10 2013  sparse part has weight 47361665 (67.74/col)
Mon Nov 04 18:04:11 2013  matrix starts at (0, 0)
Mon Nov 04 18:04:11 2013  matrix is 698953 x 699133 (199.3 MB) with weight 66373645 (94.94/col)
Mon Nov 04 18:04:11 2013  sparse part has weight 47361665 (67.74/col)
Mon Nov 04 18:04:11 2013  saving the first 48 matrix rows for later
Mon Nov 04 18:04:12 2013  matrix includes 64 packed rows
Mon Nov 04 18:04:12 2013  matrix is 698905 x 699133 (192.1 MB) with weight 52752954 (75.45/col)
Mon Nov 04 18:04:12 2013  sparse part has weight 46156851 (66.02/col)
Mon Nov 04 18:04:12 2013  using block size 65536 for processor cache size 15360 kB
Mon Nov 04 18:04:17 2013  commencing Lanczos iteration (24 threads)
Mon Nov 04 18:04:17 2013  memory use: 278.5 MB
Mon Nov 04 18:04:22 2013  linear algebra at 0.4%, ETA 0h19m
Mon Nov 04 18:23:30 2013  lanczos halted after 11054 iterations (dim = 698905)
Mon Nov 04 18:23:31 2013  recovered 31 nontrivial dependencies
Mon Nov 04 18:23:31 2013  BLanczosTime: 1234
Mon Nov 04 18:23:31 2013  elapsed time 00:20:36
Mon Nov 04 18:23:31 2013 -> Running square root step ...
Mon Nov 04 18:23:31 2013  
<snip>
Mon Nov 04 18:23:32 2013  commencing square root phase
Mon Nov 04 18:23:32 2013  reading relations for dependency 1
Mon Nov 04 18:23:33 2013  read 349762 cycles
Mon Nov 04 18:23:33 2013  cycles contain 1245592 unique relations
Mon Nov 04 18:23:42 2013  read 1245592 relations
Mon Nov 04 18:23:48 2013  multiplying 1245592 relations
Mon Nov 04 18:26:02 2013  multiply complete, coefficients have about 49.69 million bits
Mon Nov 04 18:26:03 2013  initial square root is modulo 13605601
Mon Nov 04 18:28:53 2013  GCD is 1, no factor found
Mon Nov 04 18:28:53 2013  reading relations for dependency 2
Mon Nov 04 18:28:53 2013  read 349162 cycles
Mon Nov 04 18:28:54 2013  cycles contain 1244000 unique relations
Mon Nov 04 18:29:03 2013  read 1244000 relations
Mon Nov 04 18:29:08 2013  multiplying 1244000 relations
Mon Nov 04 18:31:23 2013  multiply complete, coefficients have about 49.62 million bits
Mon Nov 04 18:31:24 2013  initial square root is modulo 13320617
Mon Nov 04 18:34:16 2013  GCD is 1, no factor found
Mon Nov 04 18:34:16 2013  reading relations for dependency 3
Mon Nov 04 18:34:16 2013  read 349974 cycles
Mon Nov 04 18:34:17 2013  cycles contain 1245968 unique relations
Mon Nov 04 18:34:26 2013  read 1245968 relations
Mon Nov 04 18:34:31 2013  multiplying 1245968 relations
Mon Nov 04 18:36:46 2013  multiply complete, coefficients have about 49.70 million bits
Mon Nov 04 18:36:47 2013  initial square root is modulo 13675861
Mon Nov 04 18:39:37 2013  GCD is 1, no factor found
Mon Nov 04 18:39:37 2013  reading relations for dependency 4
Mon Nov 04 18:39:37 2013  read 349769 cycles
Mon Nov 04 18:39:38 2013  cycles contain 1245918 unique relations
Mon Nov 04 18:39:47 2013  read 1245918 relations
Mon Nov 04 18:39:52 2013  multiplying 1245918 relations
Mon Nov 04 18:42:06 2013  multiply complete, coefficients have about 49.70 million bits
Mon Nov 04 18:42:07 2013  initial square root is modulo 13656439
Mon Nov 04 18:44:57 2013  sqrtTime: 1285
Mon Nov 04 18:44:57 2013  prp55 factor: 1786154442378392850030230903138274176856789626087550133
Mon Nov 04 18:44:57 2013  prp65 factor: 53041138430459914838989073642744926435565547785444912322629903381
Mon Nov 04 18:44:57 2013  elapsed time 00:21:26
Mon Nov 04 18:44:57 2013 -> Computing 1.38359e+09 scale for this machine...
Mon Nov 04 18:44:57 2013 -> procrels -speedtest> PIPE
Mon Nov 04 18:45:02 2013 -> Factorization summary written to g119-10003_229.txt



Number: 10003_229
N = 94739665036373272532151784181371363807291378987966483602428694263842160324946006788899733397309812848242712456783699673 (119 digits)
Divisors found:
r1=1786154442378392850030230903138274176856789626087550133 (pp55)
r2=53041138430459914838989073642744926435565547785444912322629903381 (pp65)
Version: Msieve v. 1.50 (SVN 708)
Total time: 3.19 hours.
Factorization parameters were as follows:
n: 94739665036373272532151784181371363807291378987966483602428694263842160324946006788899733397309812848242712456783699673
Y0: -213017387539270353943693
Y1: 475361151671
c0: -7747176833691078026286572605440
c1: 40768983656856893132872616
c2: -91321118346630517654
c3: -118583425993291
c4: 629162070
c5: 216
skew: 649904.03 
type: gnfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10051914
Relations: 1245918 relations
Pruned matrix : 698905 x 699133
Polynomial selection time: 0.00 hours.
Total sieving time: 2.43 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.34 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: gnfs,118,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4000000,4000000,27,27,53,53,2.5,2.5,100000
total time: 3.19 hours.
Intel64 Family 6 Model 45 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 24, speed: 2.00GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 3, 2011 16:19:32 UTC 2011 年 6 月 4 日 (土) 1 時 19 分 32 秒 (日本時間)
403e62156110Ignacio SantosJune 3, 2011 16:19:32 UTC 2011 年 6 月 4 日 (土) 1 時 19 分 32 秒 (日本時間)
2046Youcef LemsaferOctober 30, 2013 05:02:20 UTC 2013 年 10 月 30 日 (水) 14 時 2 分 20 秒 (日本時間)
4511e6530 / 398832Ignacio SantosJune 3, 2011 16:19:32 UTC 2011 年 6 月 4 日 (土) 1 時 19 分 32 秒 (日本時間)
498Youcef LemsaferOctober 30, 2013 05:03:03 UTC 2013 年 10 月 30 日 (水) 14 時 3 分 3 秒 (日本時間)

10230+3

c197

name 名前Youcef Lemsafer
date 日付November 4, 2013 13:42:40 UTC 2013 年 11 月 4 日 (月) 22 時 42 分 40 秒 (日本時間)
composite number 合成数
33159210751548739457663168065966357235710749244898878885022455838606903280723960565131406197561172964013447047118882534500031725611907359212089342739490906833377972707266647735064712723311327108271<197>
prime factors 素因数
41157710654623035998562470154261280015003<41>
composite cofactor 合成数の残り
805662176640627464355171845792822385202368652865353187016254674881179155975121347213344718899103379577999271828240528807239725172541299776705360252866917757<156>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^230+3)/(19*5857*27099856425841234316222408671) (197 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=4076306952
dF=65536, k=3, d=690690, d2=17, i0=28
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
66      310     1703    10622   73962   567973  4760535 4.3e+007        4.3e+008        4.5e+009
Step 1 took 180056ms
Using 24 small primes for NTT
Estimated memory usage: 273M
Initializing tables of differences for F took 62ms
Computing roots of F took 3994ms
Building F from its roots took 6163ms
Computing 1/F took 3058ms
Initializing table of differences for G took 78ms
Computing roots of G took 3276ms
Building G from its roots took 6177ms
Computing roots of G took 3276ms
Building G from its roots took 6131ms
Computing G * H took 1716ms
Reducing  G * H mod F took 1701ms
Computing roots of G took 3292ms
Building G from its roots took 6068ms
Computing G * H took 1653ms
Reducing  G * H mod F took 1825ms
Computing polyeval(F,G) took 11997ms
Computing product of all F(g_i) took 47ms
Step 2 took 60809ms
********** Factor found in step 2: 41157710654623035998562470154261280015003
Found probable prime factor of 41 digits: 41157710654623035998562470154261280015003
Composite cofactor ((10^230+3)/(19*5857*27099856425841234316222408671))/41157710654623035998562470154261280015003 has 156 digits

c156

name 名前Youcef Lemsafer
date 日付January 21, 2014 19:59:04 UTC 2014 年 1 月 22 日 (水) 4 時 59 分 4 秒 (日本時間)
composite number 合成数
805662176640627464355171845792822385202368652865353187016254674881179155975121347213344718899103379577999271828240528807239725172541299776705360252866917757<156>
prime factors 素因数
412674380143132505444100113292838737928002726481248634807206698959<66>
1952295115488367785538426166213577040689756968158638608959545920438440798927174451426606323<91>
factorization results 素因数分解の結果
<Polynomial selection using msieve 1.52-dev (SVN 942) win64 CUDA>

Sat Jan 04 13:44:58 2014  Msieve v. 1.52 (SVN unknown)
Sat Jan 04 13:44:58 2014  random seeds: d4dff900 fa6d776a
Sat Jan 04 13:44:58 2014  factoring 805662176640627464355171845792822385202368652865353187016254674881179155975121347213344718899103379577999271828240528807239725172541299776705360252866917757 (156 digits)
Sat Jan 04 13:45:01 2014  searching for 15-digit factors
Sat Jan 04 13:45:12 2014  commencing number field sieve (156-digit input)
Sat Jan 04 13:45:12 2014  commencing number field sieve polynomial selection
Sat Jan 04 13:45:12 2014  polynomial degree: 5
Sat Jan 04 13:45:12 2014  max stage 1 norm: 1.17e+024
Sat Jan 04 13:45:12 2014  max stage 2 norm: 8.68e+021
Sat Jan 04 13:45:12 2014  min E-value: 1.71e-012
Sat Jan 04 13:45:12 2014  poly select deadline: 1079999
Sat Jan 04 13:45:12 2014  time limit set to 300.00 CPU-hours
Sat Jan 04 13:45:12 2014  expecting poly E from 2.22e-012 to > 2.56e-012

Tue Jan 07 08:23:23 2014  Msieve v. 1.52 (SVN unknown)
Tue Jan 07 08:23:23 2014  random seeds: 82eb3370 e79db781
Tue Jan 07 08:23:23 2014  factoring 805662176640627464355171845792822385202368652865353187016254674881179155975121347213344718899103379577999271828240528807239725172541299776705360252866917757 (156 digits)
Tue Jan 07 08:23:25 2014  searching for 15-digit factors
Tue Jan 07 08:23:37 2014  commencing number field sieve (156-digit input)
Tue Jan 07 08:23:37 2014  commencing number field sieve polynomial selection
Tue Jan 07 08:23:37 2014  polynomial degree: 5
Tue Jan 07 08:23:37 2014  max stage 1 norm: 1.17e+024
Tue Jan 07 08:23:37 2014  max stage 2 norm: 8.68e+021
Tue Jan 07 08:23:37 2014  min E-value: 2.00e-012
Tue Jan 07 08:23:37 2014  poly select deadline: 1079999
Tue Jan 07 21:49:12 2014  polynomial selection complete
Tue Jan 07 21:49:12 2014  R0: -1016101365394390149799300233937
Tue Jan 07 21:49:12 2014  R1: 26273107488629599
Tue Jan 07 21:49:12 2014  A0: -1942486391887340881114992104979067840
Tue Jan 07 21:49:12 2014  A1: 7847422479152645568691090804676
Tue Jan 07 21:49:12 2014  A2: 6009536191779248710510436
Tue Jan 07 21:49:12 2014  A3: -22032129385305770247
Tue Jan 07 21:49:12 2014  A4: -3378912169640
Tue Jan 07 21:49:12 2014  A5: 743820
Tue Jan 07 21:49:12 2014  skew 1597263.86, size 3.584e-015, alpha -6.709, combined = 2.398e-012 rroots = 5


<Sieving rational q in [23000000,61000001) using gnfs-lasieve4I14e took ~8.5 days on various hosts>
<mainly 4 threads on Xeon W3530 @ 2.8GHz and 24 threads on 2x Intel Xeon E5-2620 @ 2.0 GHz>

<Postprocessing using msieve 1.51>

Mon Jan 20 11:26:00 2014  
Mon Jan 20 11:26:00 2014  Msieve v. 1.51 (SVN Official Release)
Mon Jan 20 11:26:00 2014  random seeds: 7d3ea588 96e2f31d
Mon Jan 20 11:26:00 2014  factoring 805662176640627464355171845792822385202368652865353187016254674881179155975121347213344718899103379577999271828240528807239725172541299776705360252866917757 (156 digits)
Mon Jan 20 11:26:01 2014  searching for 15-digit factors
Mon Jan 20 11:26:02 2014  commencing number field sieve (156-digit input)
Mon Jan 20 11:26:02 2014  R0: -1016101365394390149799300233937
Mon Jan 20 11:26:02 2014  R1: 26273107488629599
Mon Jan 20 11:26:02 2014  A0: -1942486391887340881114992104979067840
Mon Jan 20 11:26:02 2014  A1: 7847422479152645568691090804676
Mon Jan 20 11:26:02 2014  A2: 6009536191779248710510436
Mon Jan 20 11:26:02 2014  A3: -22032129385305770247
Mon Jan 20 11:26:02 2014  A4: -3378912169640
Mon Jan 20 11:26:02 2014  A5: 743820
Mon Jan 20 11:26:02 2014  skew 1597263.86, size 3.584e-015, alpha -6.709, combined = 2.398e-012 rroots = 5
Mon Jan 20 11:26:02 2014  
Mon Jan 20 11:26:02 2014  commencing relation filtering
Mon Jan 20 11:26:02 2014  estimated available RAM is 32739.1 MB
Mon Jan 20 11:26:02 2014  commencing duplicate removal, pass 1
Mon Jan 20 11:31:02 2014  found 7776540 hash collisions in 51342816 relations
Mon Jan 20 11:32:06 2014  added 122727 free relations
Mon Jan 20 11:32:06 2014  commencing duplicate removal, pass 2
Mon Jan 20 11:32:43 2014  found 6777260 duplicates and 44688283 unique relations
Mon Jan 20 11:32:43 2014  memory use: 213.2 MB
Mon Jan 20 11:32:43 2014  reading ideals above 720000
Mon Jan 20 11:32:43 2014  commencing singleton removal, initial pass
Mon Jan 20 11:40:23 2014  memory use: 1378.0 MB
Mon Jan 20 11:40:24 2014  reading all ideals from disk
Mon Jan 20 11:40:25 2014  memory use: 1626.4 MB
Mon Jan 20 11:40:31 2014  keeping 45490148 ideals with weight <= 200, target excess is 236446
Mon Jan 20 11:40:38 2014  commencing in-memory singleton removal
Mon Jan 20 11:40:43 2014  begin with 44688283 relations and 45490148 unique ideals
Mon Jan 20 11:41:41 2014  reduce to 24343896 relations and 22609188 ideals in 16 passes
Mon Jan 20 11:41:41 2014  max relations containing the same ideal: 138
Mon Jan 20 11:41:59 2014  removing 2825610 relations and 2425610 ideals in 400000 cliques
Mon Jan 20 11:42:00 2014  commencing in-memory singleton removal
Mon Jan 20 11:42:02 2014  begin with 21518286 relations and 22609188 unique ideals
Mon Jan 20 11:42:27 2014  reduce to 21266528 relations and 19926585 ideals in 9 passes
Mon Jan 20 11:42:27 2014  max relations containing the same ideal: 128
Mon Jan 20 11:42:43 2014  removing 2132643 relations and 1732643 ideals in 400000 cliques
Mon Jan 20 11:42:43 2014  commencing in-memory singleton removal
Mon Jan 20 11:42:46 2014  begin with 19133885 relations and 19926585 unique ideals
Mon Jan 20 11:43:12 2014  reduce to 18967859 relations and 18024760 ideals in 11 passes
Mon Jan 20 11:43:12 2014  max relations containing the same ideal: 116
Mon Jan 20 11:43:26 2014  removing 1918226 relations and 1518226 ideals in 400000 cliques
Mon Jan 20 11:43:27 2014  commencing in-memory singleton removal
Mon Jan 20 11:43:29 2014  begin with 17049633 relations and 18024760 unique ideals
Mon Jan 20 11:43:45 2014  reduce to 16901719 relations and 16355649 ideals in 8 passes
Mon Jan 20 11:43:45 2014  max relations containing the same ideal: 107
Mon Jan 20 11:43:57 2014  removing 1325312 relations and 1053520 ideals in 271792 cliques
Mon Jan 20 11:43:57 2014  commencing in-memory singleton removal
Mon Jan 20 11:43:59 2014  begin with 15576407 relations and 16355649 unique ideals
Mon Jan 20 11:44:13 2014  reduce to 15501631 relations and 15226265 ideals in 7 passes
Mon Jan 20 11:44:13 2014  max relations containing the same ideal: 105
Mon Jan 20 11:44:27 2014  relations with 0 large ideals: 819
Mon Jan 20 11:44:27 2014  relations with 1 large ideals: 1588
Mon Jan 20 11:44:27 2014  relations with 2 large ideals: 24281
Mon Jan 20 11:44:27 2014  relations with 3 large ideals: 201123
Mon Jan 20 11:44:27 2014  relations with 4 large ideals: 901205
Mon Jan 20 11:44:27 2014  relations with 5 large ideals: 2409341
Mon Jan 20 11:44:27 2014  relations with 6 large ideals: 4009587
Mon Jan 20 11:44:27 2014  relations with 7+ large ideals: 7953687
Mon Jan 20 11:44:27 2014  commencing 2-way merge
Mon Jan 20 11:44:42 2014  reduce to 9959932 relation sets and 9684566 unique ideals
Mon Jan 20 11:44:42 2014  commencing full merge
Mon Jan 20 11:48:45 2014  memory use: 1179.5 MB
Mon Jan 20 11:48:47 2014  found 5354803 cycles, need 5316766
Mon Jan 20 11:48:47 2014  weight of 5316766 cycles is about 372524345 (70.07/cycle)
Mon Jan 20 11:48:47 2014  distribution of cycle lengths:
Mon Jan 20 11:48:47 2014  1 relations: 704373
Mon Jan 20 11:48:47 2014  2 relations: 705214
Mon Jan 20 11:48:47 2014  3 relations: 671432
Mon Jan 20 11:48:47 2014  4 relations: 592424
Mon Jan 20 11:48:47 2014  5 relations: 522992
Mon Jan 20 11:48:47 2014  6 relations: 446337
Mon Jan 20 11:48:47 2014  7 relations: 382058
Mon Jan 20 11:48:47 2014  8 relations: 318708
Mon Jan 20 11:48:47 2014  9 relations: 259584
Mon Jan 20 11:48:47 2014  10+ relations: 713644
Mon Jan 20 11:48:47 2014  heaviest cycle: 20 relations
Mon Jan 20 11:48:49 2014  commencing cycle optimization
Mon Jan 20 11:48:59 2014  start with 27898104 relations
Mon Jan 20 11:50:00 2014  pruned 709585 relations
Mon Jan 20 11:50:00 2014  memory use: 922.1 MB
Mon Jan 20 11:50:00 2014  distribution of cycle lengths:
Mon Jan 20 11:50:00 2014  1 relations: 704373
Mon Jan 20 11:50:00 2014  2 relations: 721747
Mon Jan 20 11:50:00 2014  3 relations: 696367
Mon Jan 20 11:50:00 2014  4 relations: 607004
Mon Jan 20 11:50:00 2014  5 relations: 534789
Mon Jan 20 11:50:00 2014  6 relations: 451725
Mon Jan 20 11:50:00 2014  7 relations: 383876
Mon Jan 20 11:50:00 2014  8 relations: 316912
Mon Jan 20 11:50:00 2014  9 relations: 254551
Mon Jan 20 11:50:00 2014  10+ relations: 645422
Mon Jan 20 11:50:00 2014  heaviest cycle: 20 relations
Mon Jan 20 11:50:08 2014  RelProcTime: 1446
Mon Jan 20 11:50:08 2014  elapsed time 00:24:08
Mon Jan 20 12:02:40 2014  
<...interrupted...>
Mon Jan 20 18:30:24 2014  
Mon Jan 20 18:30:24 2014  commencing linear algebra
Mon Jan 20 18:30:25 2014  read 5315011 cycles
Mon Jan 20 18:30:34 2014  cycles contain 15299231 unique relations
Mon Jan 20 18:32:07 2014  read 15299231 relations
Mon Jan 20 18:32:33 2014  using 20 quadratic characters above 536870724
Mon Jan 20 18:34:00 2014  building initial matrix
Mon Jan 20 18:37:59 2014  memory use: 2129.1 MB
Mon Jan 20 18:38:03 2014  read 5315011 cycles
Mon Jan 20 18:38:05 2014  matrix is 5314834 x 5315011 (1616.0 MB) with weight 502575319 (94.56/col)
Mon Jan 20 18:38:05 2014  sparse part has weight 359849695 (67.70/col)
Mon Jan 20 18:38:39 2014  filtering completed in 1 passes
Mon Jan 20 18:38:42 2014  matrix is 5314834 x 5315011 (1616.0 MB) with weight 502575319 (94.56/col)
Mon Jan 20 18:38:42 2014  sparse part has weight 359849695 (67.70/col)
Mon Jan 20 18:39:19 2014  matrix starts at (0, 0)
Mon Jan 20 18:39:21 2014  matrix is 5314834 x 5315011 (1616.0 MB) with weight 502575319 (94.56/col)
Mon Jan 20 18:39:21 2014  sparse part has weight 359849695 (67.70/col)
Mon Jan 20 18:39:21 2014  saving the first 48 matrix rows for later
Mon Jan 20 18:39:23 2014  matrix includes 64 packed rows
Mon Jan 20 18:39:24 2014  matrix is 5314786 x 5315011 (1552.1 MB) with weight 400931023 (75.43/col)
Mon Jan 20 18:39:24 2014  sparse part has weight 353722769 (66.55/col)
Mon Jan 20 18:39:24 2014  using block size 65536 for processor cache size 15360 kB
Mon Jan 20 18:39:50 2014  commencing Lanczos iteration (16 threads)
Mon Jan 20 18:39:50 2014  memory use: 1852.9 MB
Mon Jan 20 18:40:14 2014  linear algebra at 0.0%, ETA 22h20m
Mon Jan 20 18:40:22 2014  checkpointing every 240000 dimensions
Tue Jan 21 19:54:20 2014  lanczos halted after 84049 iterations (dim = 5314784)
Tue Jan 21 19:54:30 2014  recovered 30 nontrivial dependencies
Tue Jan 21 19:54:31 2014  BLanczosTime: 91447
Tue Jan 21 19:54:31 2014  
Tue Jan 21 19:54:31 2014  commencing square root phase
Tue Jan 21 19:54:31 2014  reading relations for dependency 1
Tue Jan 21 19:54:32 2014  read 2656214 cycles
Tue Jan 21 19:54:36 2014  cycles contain 7647846 unique relations
Tue Jan 21 19:55:30 2014  read 7647846 relations
Tue Jan 21 19:56:19 2014  multiplying 7647846 relations
Tue Jan 21 20:07:33 2014  multiply complete, coefficients have about 425.32 million bits
Tue Jan 21 20:07:38 2014  initial square root is modulo 42818059
Tue Jan 21 20:22:31 2014  sqrtTime: 1680
Tue Jan 21 20:22:31 2014  prp66 factor: 412674380143132505444100113292838737928002726481248634807206698959
Tue Jan 21 20:22:31 2014  prp91 factor: 1952295115488367785538426166213577040689756968158638608959545920438440798927174451426606323
Tue Jan 21 20:22:31 2014  elapsed time 25:52:09
software ソフトウェア
msieve 1.52 (SVN 942) win64 CUDA for polynomial selection, GGNFS (SVN 440), msieve 1.51

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 3, 2011 17:59:44 UTC 2011 年 6 月 4 日 (土) 2 時 59 分 44 秒 (日本時間)
403e62156110Ignacio SantosJune 3, 2011 17:59:44 UTC 2011 年 6 月 4 日 (土) 2 時 59 分 44 秒 (日本時間)
2046Youcef LemsaferOctober 30, 2013 09:16:02 UTC 2013 年 10 月 30 日 (水) 18 時 16 分 2 秒 (日本時間)
4511e6390432Ignacio SantosJune 3, 2011 17:59:44 UTC 2011 年 6 月 4 日 (土) 2 時 59 分 44 秒 (日本時間)
498Youcef LemsaferOctober 30, 2013 12:45:14 UTC 2013 年 10 月 30 日 (水) 21 時 45 分 14 秒 (日本時間)
3374Youcef LemsaferDecember 3, 2013 07:44:15 UTC 2013 年 12 月 3 日 (火) 16 時 44 分 15 秒 (日本時間)
5043e61902 / 659432Youcef LemsaferDecember 3, 2013 18:11:55 UTC 2013 年 12 月 4 日 (水) 3 時 11 分 55 秒 (日本時間)
200Youcef LemsaferDecember 10, 2013 03:15:39 UTC 2013 年 12 月 10 日 (火) 12 時 15 分 39 秒 (日本時間)
600Youcef LemsaferDecember 10, 2013 14:08:51 UTC 2013 年 12 月 10 日 (火) 23 時 8 分 51 秒 (日本時間)
1070Youcef LemsaferDecember 20, 2013 23:10:50 UTC 2013 年 12 月 21 日 (土) 8 時 10 分 50 秒 (日本時間)

10231+3

c220

name 名前ToolboxNL
date 日付August 31, 2011 02:49:53 UTC 2011 年 8 月 31 日 (水) 11 時 49 分 53 秒 (日本時間)
composite number 合成数
5588899082511670844820043759885244776486670414570803748228727672103085154982985037791264314521450095746782683622077868368434953843495430072326401260619307534708753092062825643733225977068061966027282078067860722586666429<220>
prime factors 素因数
12903827855092916944581406171313332828848543559<47>
composite cofactor 合成数の残り
433119470073047305622331429859496808113444808319568208202491890749014450556388980388970939163224047090317671732386016172756329858778778876817283149401728395937549603080307931<174>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 5588899082511670844820043759885244776486670414570803748228727672103085154982985037791264314521450095746782683622077868368434953843495430072326401260619307534708753092062825643733225977068061966027282078067860722586666429 (220 digits)
[Tue Aug 30 01:03:04 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2820601438
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 3059859ms
Using 51 small primes for NTT
Estimated memory usage: 570M
Initializing tables of differences for F took 1953ms
Computing roots of F took 73687ms
Building F from its roots took 32375ms
Computing 1/F took 13578ms
Initializing table of differences for G took 1656ms
Computing roots of G took 61938ms
Building G from its roots took 34171ms
Computing roots of G took 61938ms
Building G from its roots took 34156ms
Computing G * H took 7078ms
Reducing  G * H mod F took 7422ms
Computing roots of G took 61922ms
Building G from its roots took 34187ms
Computing G * H took 7062ms
Reducing  G * H mod F took 7469ms
Computing roots of G took 61906ms
Building G from its roots took 34234ms
Computing G * H took 7015ms
Reducing  G * H mod F took 7391ms
Computing polyeval(F,G) took 62140ms
Computing product of all F(g_i) took 469ms
Step 2 took 616282ms
********** Factor found in step 2: 12903827855092916944581406171313332828848543559
Found probable prime factor of 47 digits: 12903827855092916944581406171313332828848543559
Composite cofactor 433119470073047305622331429859496808113444808319568208202491890749014450556388980388970939163224047090317671732386016172756329858778778876817283149401728395937549603080307931 has 174 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 22, 2010 12:26:11 UTC 2010 年 6 月 22 日 (火) 21 時 26 分 11 秒 (日本時間)
403e62144110Ignacio SantosJune 22, 2010 12:26:11 UTC 2010 年 6 月 22 日 (火) 21 時 26 分 11 秒 (日本時間)
2034Wataru SakaiJuly 3, 2010 04:39:08 UTC 2010 年 7 月 3 日 (土) 13 時 39 分 8 秒 (日本時間)
4511e632Ignacio SantosJune 22, 2010 12:26:11 UTC 2010 年 6 月 22 日 (火) 21 時 26 分 11 秒 (日本時間)
5043e6800Dmitry DomanovJune 7, 2011 16:33:27 UTC 2011 年 6 月 8 日 (水) 1 時 33 分 27 秒 (日本時間)
5511e72930 / 17465160Dmitry DomanovJune 8, 2011 21:38:34 UTC 2011 年 6 月 9 日 (木) 6 時 38 分 34 秒 (日本時間)
2770yoyo@homeAugust 22, 2011 18:45:05 UTC 2011 年 8 月 23 日 (火) 3 時 45 分 5 秒 (日本時間)

10233+3

c218

composite cofactor 合成数の残り
34753607056841647869311748681936105235401328213803539235290389122352846806641081039004514614311929289881816141251662391864022477038033327281711619401203758085930330974260131048722415590412431962600422680082538129246881<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 4, 2011 18:38:42 UTC 2011 年 6 月 5 日 (日) 3 時 38 分 42 秒 (日本時間)
403e62159110Ignacio SantosJune 4, 2011 18:38:42 UTC 2011 年 6 月 5 日 (日) 3 時 38 分 42 秒 (日本時間)
2049Youcef LemsaferNovember 4, 2013 20:33:23 UTC 2013 年 11 月 5 日 (火) 5 時 33 分 23 秒 (日本時間)
4511e6554 / 398832Ignacio SantosJune 4, 2011 18:38:42 UTC 2011 年 6 月 5 日 (日) 3 時 38 分 42 秒 (日本時間)
522Youcef LemsaferNovember 5, 2013 06:42:21 UTC 2013 年 11 月 5 日 (火) 15 時 42 分 21 秒 (日本時間)

10234+3

c180

name 名前Justin Card
date 日付June 9, 2010 22:39:10 UTC 2010 年 6 月 10 日 (木) 7 時 39 分 10 秒 (日本時間)
composite number 合成数
117833390761822206781504235853702940398633422674715455907712487569609504674353029127577678760477779626680339767620241534635122222619356307811633522977634813958958846128976560370183<180>
prime factors 素因数
1218975121501029917998916947524792696247<40>
96665952145703942307658434881018198753040197861750953231479525345251855474784654760227617109192554321152891469024928932751156412450342448689<140>
factorization results 素因数分解の結果
[2010-06-09 12:02:57 GMT] a: Factor found!  10003_234 / (probable) 1218975121501029917998916947524792696247  B1: 1000000 sigma: 2675825087 (found in step 2)
[2010-06-09 12:02:57 GMT] a:    Co-factor:  10003_234 / (Probable) 96665952145703942307658434881018198753040197861750953231479525345251855474784654760227617109192554321152891469024928932751156412450342448689
software ソフトウェア
gmp-ecm 6.2
execution environment 実行環境
Ubuntu Linux 10.04, Athlon 64x2 2600+, 1 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)

10236+3

c224

name 名前Daniel Morel
date 日付July 13, 2018 15:22:37 UTC 2018 年 7 月 14 日 (土) 0 時 22 分 37 秒 (日本時間)
composite number 合成数
27873114831407956927278216085375267013374562824339022205019123402474327281253455881180723539142872534985805756177024426962312171392436553401785487463317265288165116170026999041536316752042493742156188358335736899670972577717<224>
prime factors 素因数
1808336697172974184798635254548651594382866834034650792538315364330163648114890967789<85>
15413675381903610726394856815299476646288761503323365877104089057195079896231224900791122763296415475756902144135723769525043539199035154153<140>
factorization results 素因数分解の結果
Polynomial: 100 X^6 + 3 ; m = 10^39 ; skew = 2
rlim = alim = 62000000
lpbr = lpba = 29
mfbr = mfba = 59
rlambda = alambda = 2.7
qintsize = 100000

Matrix: 8015993 x 8016170

time: 330 days or so

p85 = 1808336697172974184798635254548651594382866834034650792538315364330163648114890967789
p140 = 15413675381903610726394856815299476646288761503323365877104089057195079896231224900791122763296415475756902144135723769525043539199035154153
software ソフトウェア
GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)
execution environment 実行環境
Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 4, 2011 20:27:57 UTC 2011 年 6 月 5 日 (日) 5 時 27 分 57 秒 (日本時間)
403e62159110Ignacio SantosJune 4, 2011 20:27:57 UTC 2011 年 6 月 5 日 (日) 5 時 27 分 57 秒 (日本時間)
2049Youcef LemsaferNovember 5, 2013 07:14:22 UTC 2013 年 11 月 5 日 (火) 16 時 14 分 22 秒 (日本時間)
4511e6554 / 398832Ignacio SantosJune 4, 2011 20:27:57 UTC 2011 年 6 月 5 日 (日) 5 時 27 分 57 秒 (日本時間)
522Youcef LemsaferNovember 5, 2013 12:27:48 UTC 2013 年 11 月 5 日 (火) 21 時 27 分 48 秒 (日本時間)

10239+3

c215

composite cofactor 合成数の残り
41685126111496290641633520617573076692091670776461899683637899935543617891508122779391933558848814124775498142139156379694379816046718194930047447484642154511029817429777956753792124334556787786025217938750595401013<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 4, 2011 22:03:06 UTC 2011 年 6 月 5 日 (日) 7 時 3 分 6 秒 (日本時間)
403e62159110Ignacio SantosJune 4, 2011 22:03:06 UTC 2011 年 6 月 5 日 (日) 7 時 3 分 6 秒 (日本時間)
2049Youcef LemsaferNovember 5, 2013 18:14:13 UTC 2013 年 11 月 6 日 (水) 3 時 14 分 13 秒 (日本時間)
4511e6554 / 398832Ignacio SantosJune 4, 2011 22:03:06 UTC 2011 年 6 月 5 日 (日) 7 時 3 分 6 秒 (日本時間)
522Youcef LemsaferNovember 6, 2013 05:17:04 UTC 2013 年 11 月 6 日 (水) 14 時 17 分 4 秒 (日本時間)

10240+3

c216

name 名前Youcef Lemsafer
date 日付November 6, 2013 05:19:01 UTC 2013 年 11 月 6 日 (水) 14 時 19 分 1 秒 (日本時間)
composite number 合成数
218137715049806828348739671604364280153962336767658710170195352972745580051015807907159757421172306415352121268342922167436960805950994088580483884075775102540847109264684118292735172147103400527082972251253696684541<216>
prime factors 素因数
13386005861092876621843413272521831831633<41>
composite cofactor 合成数の残り
16295952453138800798495426294124640956435671754436882934459764269439646047770656020019031885088789477789673155511691696842710354258082850172514267829423342719458679849825693677<176>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^240+3)/(103*71479*622663699405724959) (216 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2093165441
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+007        3.9e+008        6e+009  1.1e+011        7.4e+015
Step 1 took 20171ms
Using 26 small primes for NTT
Estimated memory usage: 71M
Initializing tables of differences for F took 15ms
Computing roots of F took 531ms
Building F from its roots took 1310ms
Computing 1/F took 764ms
Initializing table of differences for G took 16ms
Computing roots of G took 468ms
Building G from its roots took 1279ms
Computing roots of G took 468ms
Building G from its roots took 1295ms
Computing G * H took 421ms
Reducing  G * H mod F took 422ms
Computing polyeval(F,G) took 2620ms
Computing product of all F(g_i) took 16ms
Step 2 took 9672ms
********** Factor found in step 2: 13386005861092876621843413272521831831633
Found probable prime factor of 41 digits: 13386005861092876621843413272521831831633
Composite cofactor ((10^240+3)/(103*71479*622663699405724959))/13386005861092876621843413272521831831633 has 176 digits

c176

name 名前Youcef Lemsafer
date 日付February 17, 2014 17:54:05 UTC 2014 年 2 月 18 日 (火) 2 時 54 分 5 秒 (日本時間)
composite number 合成数
16295952453138800798495426294124640956435671754436882934459764269439646047770656020019031885088789477789673155511691696842710354258082850172514267829423342719458679849825693677<176>
prime factors 素因数
652590986232543508590956970581844986222334437761286699810659<60>
24971157734213509601561069407498257576547202042518282502990437589515285105258112290089993342182295975338992892296303<116>
factorization results 素因数分解の結果
<Sieving on various hosts took ~12.6 days>

Tue Feb 11 09:09:56 2014  Msieve v. 1.51 (SVN Official Release)
Tue Feb 11 09:09:56 2014  random seeds: e1a85640 09594f7a
Tue Feb 11 09:09:56 2014  factoring 16295952453138800798495426294124640956435671754436882934459764269439646047770656020019031885088789477789673155511691696842710354258082850172514267829423342719458679849825693677 (176 digits)
Tue Feb 11 09:09:58 2014  searching for 15-digit factors
Tue Feb 11 09:09:58 2014  commencing number field sieve (176-digit input)
Tue Feb 11 09:09:58 2014  R0: -10000000000000000000000000000000000000000
Tue Feb 11 09:09:58 2014  R1: 1
Tue Feb 11 09:09:58 2014  A0: 3
Tue Feb 11 09:09:58 2014  A1: 0
Tue Feb 11 09:09:58 2014  A2: 0
Tue Feb 11 09:09:58 2014  A3: 0
Tue Feb 11 09:09:58 2014  A4: 0
Tue Feb 11 09:09:58 2014  A5: 0
Tue Feb 11 09:09:58 2014  A6: 1
Tue Feb 11 09:09:58 2014  skew 1.20, size 6.183e-012, alpha 2.596, combined = 4.529e-013 rroots = 0
Tue Feb 11 09:09:58 2014  
Tue Feb 11 09:09:58 2014  commencing relation filtering
Tue Feb 11 09:09:58 2014  estimated available RAM is 32739.1 MB
Tue Feb 11 09:09:58 2014  commencing duplicate removal, pass 1
Tue Feb 11 09:26:06 2014  error -15 reading relation 98192648
Tue Feb 11 09:26:06 2014  error -15 reading relation 98199366
Tue Feb 11 09:26:06 2014  error -9 reading relation 98205861
Tue Feb 11 09:26:06 2014  error -5 reading relation 98212605
Tue Feb 11 09:27:28 2014  skipped 22 relations with b > 2^32
Tue Feb 11 09:27:28 2014  found 22000886 hash collisions in 105442953 relations
Tue Feb 11 09:27:48 2014  added 2437780 free relations
Tue Feb 11 09:27:48 2014  commencing duplicate removal, pass 2
Tue Feb 11 09:28:55 2014  found 22434325 duplicates and 85446408 unique relations
Tue Feb 11 09:28:55 2014  memory use: 660.8 MB
Tue Feb 11 09:28:55 2014  reading ideals above 720000
Tue Feb 11 09:28:55 2014  commencing singleton removal, initial pass
Tue Feb 11 09:49:03 2014  memory use: 2756.0 MB
Tue Feb 11 09:49:03 2014  reading all ideals from disk
Tue Feb 11 09:49:05 2014  memory use: 3313.6 MB
Tue Feb 11 09:49:20 2014  keeping 87609608 ideals with weight <= 200, target excess is 449555
Tue Feb 11 09:49:33 2014  commencing in-memory singleton removal
Tue Feb 11 09:49:44 2014  begin with 85446408 relations and 87609608 unique ideals
Tue Feb 11 09:51:34 2014  reduce to 46528652 relations and 43710103 ideals in 16 passes
Tue Feb 11 09:51:34 2014  max relations containing the same ideal: 138
Tue Feb 11 09:52:07 2014  removing 3427618 relations and 3027618 ideals in 400000 cliques
Tue Feb 11 09:52:09 2014  commencing in-memory singleton removal
Tue Feb 11 09:52:14 2014  begin with 43101034 relations and 43710103 unique ideals
Tue Feb 11 09:53:14 2014  reduce to 42877990 relations and 40456608 ideals in 10 passes
Tue Feb 11 09:53:14 2014  max relations containing the same ideal: 134
Tue Feb 11 09:53:39 2014  removing 2548671 relations and 2148671 ideals in 400000 cliques
Tue Feb 11 09:53:40 2014  commencing in-memory singleton removal
Tue Feb 11 09:53:45 2014  begin with 40329319 relations and 40456608 unique ideals
Tue Feb 11 09:54:29 2014  reduce to 40195861 relations and 38173206 ideals in 10 passes
Tue Feb 11 09:54:29 2014  max relations containing the same ideal: 128
Tue Feb 11 09:54:52 2014  removing 2270423 relations and 1870423 ideals in 400000 cliques
Tue Feb 11 09:54:53 2014  commencing in-memory singleton removal
Tue Feb 11 09:54:58 2014  begin with 37925438 relations and 38173206 unique ideals
Tue Feb 11 09:55:35 2014  reduce to 37814202 relations and 36190467 ideals in 9 passes
Tue Feb 11 09:55:35 2014  max relations containing the same ideal: 120
Tue Feb 11 09:55:56 2014  removing 2122002 relations and 1722002 ideals in 400000 cliques
Tue Feb 11 09:55:57 2014  commencing in-memory singleton removal
Tue Feb 11 09:56:01 2014  begin with 35692200 relations and 36190467 unique ideals
Tue Feb 11 09:56:32 2014  reduce to 35591058 relations and 34366270 ideals in 8 passes
Tue Feb 11 09:56:32 2014  max relations containing the same ideal: 114
Tue Feb 11 09:56:54 2014  removing 2024336 relations and 1624336 ideals in 400000 cliques
Tue Feb 11 09:56:55 2014  commencing in-memory singleton removal
Tue Feb 11 09:56:59 2014  begin with 33566722 relations and 34366270 unique ideals
Tue Feb 11 09:57:28 2014  reduce to 33469606 relations and 32643812 ideals in 8 passes
Tue Feb 11 09:57:28 2014  max relations containing the same ideal: 109
Tue Feb 11 09:57:48 2014  removing 1559506 relations and 1255196 ideals in 304310 cliques
Tue Feb 11 09:57:48 2014  commencing in-memory singleton removal
Tue Feb 11 09:57:52 2014  begin with 31910100 relations and 32643812 unique ideals
Tue Feb 11 09:58:16 2014  reduce to 31851425 relations and 31329404 ideals in 7 passes
Tue Feb 11 09:58:16 2014  max relations containing the same ideal: 105
Tue Feb 11 09:58:41 2014  relations with 0 large ideals: 33754
Tue Feb 11 09:58:41 2014  relations with 1 large ideals: 6464
Tue Feb 11 09:58:41 2014  relations with 2 large ideals: 53442
Tue Feb 11 09:58:41 2014  relations with 3 large ideals: 411138
Tue Feb 11 09:58:41 2014  relations with 4 large ideals: 1784841
Tue Feb 11 09:58:41 2014  relations with 5 large ideals: 4696154
Tue Feb 11 09:58:41 2014  relations with 6 large ideals: 7732546
Tue Feb 11 09:58:41 2014  relations with 7+ large ideals: 17133086
Tue Feb 11 09:58:41 2014  commencing 2-way merge
Tue Feb 11 09:59:08 2014  reduce to 20836791 relation sets and 20314770 unique ideals
Tue Feb 11 09:59:08 2014  commencing full merge
Tue Feb 11 10:07:45 2014  memory use: 2582.8 MB
Tue Feb 11 10:07:48 2014  found 11097317 cycles, need 11026970
Tue Feb 11 10:07:49 2014  weight of 11026970 cycles is about 772065171 (70.02/cycle)
Tue Feb 11 10:07:49 2014  distribution of cycle lengths:
Tue Feb 11 10:07:49 2014  1 relations: 1425605
Tue Feb 11 10:07:49 2014  2 relations: 1442436
Tue Feb 11 10:07:49 2014  3 relations: 1389234
Tue Feb 11 10:07:49 2014  4 relations: 1215767
Tue Feb 11 10:07:49 2014  5 relations: 1051925
Tue Feb 11 10:07:49 2014  6 relations: 894494
Tue Feb 11 10:07:49 2014  7 relations: 760616
Tue Feb 11 10:07:49 2014  8 relations: 638835
Tue Feb 11 10:07:49 2014  9 relations: 528477
Tue Feb 11 10:07:49 2014  10+ relations: 1679581
Tue Feb 11 10:07:49 2014  heaviest cycle: 22 relations
Tue Feb 11 10:07:52 2014  commencing cycle optimization
Tue Feb 11 10:08:08 2014  start with 59777834 relations
Tue Feb 11 10:10:18 2014  pruned 1434782 relations
Tue Feb 11 10:10:18 2014  memory use: 1927.0 MB
Tue Feb 11 10:10:18 2014  distribution of cycle lengths:
Tue Feb 11 10:10:18 2014  1 relations: 1425605
Tue Feb 11 10:10:18 2014  2 relations: 1468800
Tue Feb 11 10:10:18 2014  3 relations: 1433946
Tue Feb 11 10:10:18 2014  4 relations: 1242056
Tue Feb 11 10:10:18 2014  5 relations: 1075822
Tue Feb 11 10:10:18 2014  6 relations: 906114
Tue Feb 11 10:10:18 2014  7 relations: 767111
Tue Feb 11 10:10:18 2014  8 relations: 637554
Tue Feb 11 10:10:18 2014  9 relations: 523703
Tue Feb 11 10:10:18 2014  10+ relations: 1546259
Tue Feb 11 10:10:18 2014  heaviest cycle: 22 relations
Tue Feb 11 10:10:38 2014  RelProcTime: 3640
Tue Feb 11 10:10:38 2014  elapsed time 01:00:42
Tue Feb 11 10:35:49 2014  
Tue Feb 11 10:35:49 2014  
<...snipped...>
Tue Feb 11 10:35:50 2014  
Tue Feb 11 10:35:50 2014  commencing linear algebra
Tue Feb 11 10:35:53 2014  read 11026970 cycles
Tue Feb 11 10:36:13 2014  cycles contain 31489046 unique relations
Tue Feb 11 10:41:52 2014  read 31489046 relations
Tue Feb 11 10:42:59 2014  using 20 quadratic characters above 1073741720
Tue Feb 11 10:46:00 2014  building initial matrix
Tue Feb 11 10:54:59 2014  memory use: 4055.4 MB
Tue Feb 11 10:55:09 2014  read 11026970 cycles
Tue Feb 11 10:55:14 2014  matrix is 11026793 x 11026970 (3318.4 MB) with weight 951615494 (86.30/col)
Tue Feb 11 10:55:14 2014  sparse part has weight 748613720 (67.89/col)
Tue Feb 11 10:58:05 2014  filtering completed in 2 passes
Tue Feb 11 10:58:09 2014  matrix is 11022298 x 11022475 (3318.1 MB) with weight 951506374 (86.32/col)
Tue Feb 11 10:58:09 2014  sparse part has weight 748584162 (67.91/col)
Tue Feb 11 10:59:45 2014  matrix starts at (0, 0)
Tue Feb 11 10:59:48 2014  matrix is 11022298 x 11022475 (3318.1 MB) with weight 951506374 (86.32/col)
Tue Feb 11 10:59:48 2014  sparse part has weight 748584162 (67.91/col)
Tue Feb 11 10:59:48 2014  saving the first 48 matrix rows for later
Tue Feb 11 10:59:52 2014  matrix includes 64 packed rows
Tue Feb 11 10:59:55 2014  matrix is 11022250 x 11022475 (3162.7 MB) with weight 771941022 (70.03/col)
Tue Feb 11 10:59:55 2014  sparse part has weight 718865985 (65.22/col)
Tue Feb 11 10:59:55 2014  using block size 65536 for processor cache size 15360 kB
Tue Feb 11 11:00:44 2014  commencing Lanczos iteration (16 threads)
Tue Feb 11 11:00:44 2014  memory use: 3870.3 MB
Tue Feb 11 11:02:02 2014  linear algebra at 0.0%, ETA 149h43m
Tue Feb 11 11:02:27 2014  checkpointing every 80000 dimensions
Mon Feb 17 17:24:36 2014  lanczos halted after 174310 iterations (dim = 11022248)
Mon Feb 17 17:25:28 2014  recovered 37 nontrivial dependencies
Mon Feb 17 17:25:32 2014  BLanczosTime: 542982
Mon Feb 17 17:25:32 2014  
Mon Feb 17 17:25:32 2014  commencing square root phase
Mon Feb 17 17:25:32 2014  reading relations for dependency 1
Mon Feb 17 17:25:35 2014  read 5509932 cycles
Mon Feb 17 17:25:45 2014  cycles contain 15742166 unique relations
Mon Feb 17 17:30:16 2014  read 15742166 relations
Mon Feb 17 17:32:42 2014  multiplying 15742166 relations
Mon Feb 17 17:52:00 2014  multiply complete, coefficients have about 395.30 million bits
Mon Feb 17 17:52:06 2014  warning: no irreducible prime found, switching to small primes
Mon Feb 17 17:52:06 2014  initial square root is modulo 53
Mon Feb 17 18:38:28 2014  sqrtTime: 4376
Mon Feb 17 18:38:28 2014  prp60 factor: 652590986232543508590956970581844986222334437761286699810659
Mon Feb 17 18:38:28 2014  prp116 factor: 24971157734213509601561069407498257576547202042518282502990437589515285105258112290089993342182295975338992892296303
Mon Feb 17 18:38:28 2014  elapsed time 152:02:39
software ソフトウェア
GGNFS (SVN 440), msieve 1.51
execution environment 実行環境
Windows 7 Pro 64 bit, 2x Intel Xeon E5-2620 @ 2.0GHz, 32GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 4, 2011 23:53:17 UTC 2011 年 6 月 5 日 (日) 8 時 53 分 17 秒 (日本時間)
403e61832110Ignacio SantosJune 4, 2011 23:53:17 UTC 2011 年 6 月 5 日 (日) 8 時 53 分 17 秒 (日本時間)
1722Youcef LemsaferNovember 6, 2013 05:17:50 UTC 2013 年 11 月 6 日 (水) 14 時 17 分 50 秒 (日本時間)
4511e6340632Ignacio SantosJune 4, 2011 23:53:17 UTC 2011 年 6 月 5 日 (日) 8 時 53 分 17 秒 (日本時間)
3374Youcef LemsaferDecember 3, 2013 07:45:04 UTC 2013 年 12 月 3 日 (火) 16 時 45 分 4 秒 (日本時間)
5043e60--
5511e72880 / 153101280Youcef LemsaferDecember 14, 2013 14:14:41 UTC 2013 年 12 月 14 日 (土) 23 時 14 分 41 秒 (日本時間)
1600Youcef LemsaferJanuary 11, 2014 18:02:05 UTC 2014 年 1 月 12 日 (日) 3 時 2 分 5 秒 (日本時間)
6026e7960 / 40873Youcef LemsaferJanuary 29, 2014 05:55:53 UTC 2014 年 1 月 29 日 (水) 14 時 55 分 53 秒 (日本時間)

10241+3

c191

composite cofactor 合成数の残り
71340273312409237591261917243869527077291161550601511002282830918989575724135262596617428035963174528565690329235010543929957349891462128903258187994400811641741461562217217830313310266909827<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 5, 2011 12:29:17 UTC 2011 年 6 月 5 日 (日) 21 時 29 分 17 秒 (日本時間)
403e62159110Ignacio SantosJune 5, 2011 12:29:17 UTC 2011 年 6 月 5 日 (日) 21 時 29 分 17 秒 (日本時間)
2049Youcef LemsaferNovember 6, 2013 09:39:06 UTC 2013 年 11 月 6 日 (水) 18 時 39 分 6 秒 (日本時間)
4511e6554 / 398832Ignacio SantosJune 5, 2011 12:29:17 UTC 2011 年 6 月 5 日 (日) 21 時 29 分 17 秒 (日本時間)
522Youcef LemsaferNovember 6, 2013 13:47:15 UTC 2013 年 11 月 6 日 (水) 22 時 47 分 15 秒 (日本時間)

10242+3

c221

composite cofactor 合成数の残り
48304115063880591203007782520716142880218751533418590325865612159297082943593893793111656934182589393048313942524578773286450680588769243227328940164337034403275172099537990374821738324704792693764194958300391810239324273<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 5, 2011 15:01:29 UTC 2011 年 6 月 6 日 (月) 0 時 1 分 29 秒 (日本時間)
403e62159110Ignacio SantosJune 5, 2011 15:01:29 UTC 2011 年 6 月 6 日 (月) 0 時 1 分 29 秒 (日本時間)
2049Youcef LemsaferNovember 6, 2013 18:44:38 UTC 2013 年 11 月 7 日 (木) 3 時 44 分 38 秒 (日本時間)
4511e6554 / 398832Ignacio SantosJune 5, 2011 15:01:29 UTC 2011 年 6 月 6 日 (月) 0 時 1 分 29 秒 (日本時間)
522Youcef LemsaferNovember 7, 2013 04:58:58 UTC 2013 年 11 月 7 日 (木) 13 時 58 分 58 秒 (日本時間)

10243+3

c204

composite cofactor 合成数の残り
241299288393794882902956690971808994014834932539593569843391834031473465410785061659626710803766127185031158329296622699949927747970513775879292908699873528388308719534441146623068218090144141968827751201<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 5, 2011 16:05:47 UTC 2011 年 6 月 6 日 (月) 1 時 5 分 47 秒 (日本時間)
403e62159110Ignacio SantosJune 5, 2011 16:05:47 UTC 2011 年 6 月 6 日 (月) 1 時 5 分 47 秒 (日本時間)
2049Youcef LemsaferNovember 7, 2013 05:17:36 UTC 2013 年 11 月 7 日 (木) 14 時 17 分 36 秒 (日本時間)
4511e6592 / 398832Ignacio SantosJune 5, 2011 16:05:47 UTC 2011 年 6 月 6 日 (月) 1 時 5 分 47 秒 (日本時間)
560Youcef LemsaferNovember 8, 2013 16:23:03 UTC 2013 年 11 月 9 日 (土) 1 時 23 分 3 秒 (日本時間)

10244+3

c243

name 名前RSALS + Jeff Gilchrist
date 日付April 11, 2010 19:33:34 UTC 2010 年 4 月 12 日 (月) 4 時 33 分 34 秒 (日本時間)
composite number 合成数
204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347<243>
prime factors 素因数
59720088627032414844300913484960240486992227836360956162494858291719661989419907354629477<89>
3417302910040948508856235566952537608332675148550110614390522344520191507292744118335846577940572743077781819963576545606576724633145957142504470411800311<154>
factorization results 素因数分解の結果
<sieving by the RSALS grid>

<filtering + linear algebra + square root by Jeff Gilchrist>
Mon Mar 15 13:48:33 2010  found 21323288 hash collisions in 106675595 relations
Mon Mar 15 13:48:33 2010  commencing duplicate removal, pass 2
Mon Mar 15 13:50:18 2010  found 21458693 duplicates and 85216902
unique relations
Mon Mar 15 13:50:18 2010  memory use: 660.8 MB
Mon Mar 15 13:50:18 2010  reading ideals above 720000
Mon Mar 15 13:50:18 2010  commencing singleton removal, initial pass
Mon Mar 15 14:13:06 2010  memory use: 2756.0 MB
Mon Mar 15 14:13:07 2010  reading all ideals from disk
Mon Mar 15 14:13:50 2010  memory use: 3320.9 MB
Mon Mar 15 14:14:18 2010  keeping 87926684 ideals with weight <= 200,
target excess is 440359
Mon Mar 15 14:14:56 2010  commencing in-memory singleton removal
Mon Mar 15 14:15:26 2010  begin with 85216902 relations and 87926684
unique ideals
Mon Mar 15 14:21:01 2010  reduce to 46444930 relations and 44184710
ideals in 19 passes
Mon Mar 15 14:21:01 2010  max relations containing the same ideal: 137
Mon Mar 15 14:22:14 2010  removing 3526148 relations and 3126148
ideals in 400000 cliques
Mon Mar 15 14:22:19 2010  commencing in-memory singleton removal
Mon Mar 15 14:22:33 2010  begin with 42918782 relations and 44184710
unique ideals
Mon Mar 15 14:24:31 2010  reduce to 42717492 relations and 40854769
ideals in 9 passes
Mon Mar 15 14:24:31 2010  max relations containing the same ideal: 128
Mon Mar 15 14:25:38 2010  removing 2575801 relations and 2175801
ideals in 400000 cliques
Mon Mar 15 14:25:43 2010  commencing in-memory singleton removal
Mon Mar 15 14:25:56 2010  begin with 40141691 relations and 40854769
unique ideals
Mon Mar 15 14:28:01 2010  reduce to 40028360 relations and 38564437
ideals in 9 passes
Mon Mar 15 14:28:01 2010  max relations containing the same ideal: 123
Mon Mar 15 14:29:04 2010  removing 2262262 relations and 1862262
ideals in 400000 cliques
Mon Mar 15 14:29:09 2010  commencing in-memory singleton removal
Mon Mar 15 14:29:19 2010  begin with 37766098 relations and 38564437
unique ideals
Mon Mar 15 14:30:45 2010  reduce to 37673467 relations and 36608581
ideals in 7 passes
Mon Mar 15 14:30:45 2010  max relations containing the same ideal: 119
Mon Mar 15 14:31:44 2010  removing 2087256 relations and 1687256
ideals in 400000 cliques
Mon Mar 15 14:31:47 2010  commencing in-memory singleton removal
Mon Mar 15 14:31:57 2010  begin with 35586211 relations and 36608581
unique ideals
Mon Mar 15 14:33:16 2010  reduce to 35504973 relations and 34839239
ideals in 7 passes
Mon Mar 15 14:33:16 2010  max relations containing the same ideal: 117
Mon Mar 15 14:34:12 2010  removing 883424 relations and 728507 ideals
in 154917 cliques
Mon Mar 15 14:34:16 2010  commencing in-memory singleton removal
Mon Mar 15 14:34:28 2010  begin with 34621549 relations and 34839239
unique ideals
Mon Mar 15 14:35:29 2010  reduce to 34606616 relations and 34095736
ideals in 5 passes
Mon Mar 15 14:35:29 2010  max relations containing the same ideal: 114
Mon Mar 15 14:35:53 2010  relations with 0 large ideals: 29512
Mon Mar 15 14:35:53 2010  relations with 1 large ideals: 3709
Mon Mar 15 14:35:53 2010  relations with 2 large ideals: 46035
Mon Mar 15 14:35:53 2010  relations with 3 large ideals: 368052
Mon Mar 15 14:35:53 2010  relations with 4 large ideals: 1664132
Mon Mar 15 14:35:53 2010  relations with 5 large ideals: 4571790
Mon Mar 15 14:35:53 2010  relations with 6 large ideals: 7950285
Mon Mar 15 14:35:53 2010  relations with 7+ large ideals: 19973101
Mon Mar 15 14:35:53 2010  commencing 2-way merge
Mon Mar 15 14:37:03 2010  reduce to 23425454 relation sets and
22914574 unique ideals
Mon Mar 15 14:37:03 2010  commencing full merge
Mon Mar 15 14:56:12 2010  memory use: 2949.4 MB
Mon Mar 15 14:56:19 2010  found 12468782 cycles, need 12400774
Mon Mar 15 14:56:30 2010  weight of 12400774 cycles is about 868349941
(70.02/cycle)
Mon Mar 15 14:56:30 2010  distribution of cycle lengths:
Mon Mar 15 14:56:30 2010  1 relations: 1480301
Mon Mar 15 14:56:30 2010  2 relations: 1638063
Mon Mar 15 14:56:30 2010  3 relations: 1568308
Mon Mar 15 14:56:30 2010  4 relations: 1386368
Mon Mar 15 14:56:30 2010  5 relations: 1205764
Mon Mar 15 14:56:30 2010  6 relations: 1012899
Mon Mar 15 14:56:30 2010  7 relations: 852512
Mon Mar 15 14:56:30 2010  8 relations: 709662
Mon Mar 15 14:56:30 2010  9 relations: 585938
Mon Mar 15 14:56:30 2010  10+ relations: 1960959
Mon Mar 15 14:56:30 2010  heaviest cycle: 24 relations
Mon Mar 15 14:56:38 2010  commencing cycle optimization
Mon Mar 15 14:57:22 2010  start with 68577664 relations
Mon Mar 15 15:02:12 2010  pruned 1790604 relations
Mon Mar 15 15:02:13 2010  memory use: 2144.7 MB
Mon Mar 15 15:02:13 2010  distribution of cycle lengths:
Mon Mar 15 15:02:13 2010  1 relations: 1480301
Mon Mar 15 15:02:13 2010  2 relations: 1667739
Mon Mar 15 15:02:13 2010  3 relations: 1621674
Mon Mar 15 15:02:13 2010  4 relations: 1420208
Mon Mar 15 15:02:13 2010  5 relations: 1236550
Mon Mar 15 15:02:13 2010  6 relations: 1026194
Mon Mar 15 15:02:13 2010  7 relations: 860515
Mon Mar 15 15:02:13 2010  8 relations: 707680
Mon Mar 15 15:02:13 2010  9 relations: 578983
Mon Mar 15 15:02:13 2010  10+ relations: 1800930
Mon Mar 15 15:02:13 2010  heaviest cycle: 24 relations
Mon Mar 15 15:02:58 2010  RelProcTime: 5612
Mon Mar 15 15:03:07 2010  elapsed time 01:33:44
Wed Mar 17 05:38:34 2010
Wed Mar 17 05:38:34 2010
Wed Mar 17 05:38:34 2010  Msieve v. 1.44
Wed Mar 17 05:38:34 2010  random seeds: f80b863b d8838c81
Wed Mar 17 05:38:34 2010  factoring
204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347
(243 digits)
Wed Mar 17 05:38:37 2010  no P-1/P+1/ECM available, skipping
Wed Mar 17 05:38:37 2010  commencing number field sieve (243-digit input)
Wed Mar 17 05:38:37 2010  R0: -10000000000000000000000000000000000000000
Wed Mar 17 05:38:37 2010  R1:  1
Wed Mar 17 05:38:37 2010  A0:  3
Wed Mar 17 05:38:37 2010  A1:  0
Wed Mar 17 05:38:37 2010  A2:  0
Wed Mar 17 05:38:37 2010  A3:  0
Wed Mar 17 05:38:37 2010  A4:  0
Wed Mar 17 05:38:37 2010  A5:  0
Wed Mar 17 05:38:37 2010  A6:  10000
Wed Mar 17 05:38:37 2010  skew 0.26, size 5.202444e-12, alpha
-1.601825, combined = 4.006598e-13
Wed Mar 17 05:38:37 2010
Wed Mar 17 05:38:37 2010  commencing linear algebra
Wed Mar 17 05:38:40 2010  read 12400774 cycles
Wed Mar 17 05:39:14 2010  cycles contain 34310370 unique relations
Wed Mar 17 05:45:29 2010  read 34310370 relations
Wed Mar 17 05:47:04 2010  using 20 quadratic characters above 1073741504
Wed Mar 17 05:51:07 2010  building initial matrix
Wed Mar 17 06:03:53 2010  memory use: 4515.1 MB
Wed Mar 17 06:04:07 2010  read 12400774 cycles
Wed Mar 17 06:04:21 2010  matrix is 12400597 x 12400774 (3726.5 MB)
with weight 1103283723 (88.97/col)
Wed Mar 17 06:04:21 2010  sparse part has weight 840463936 (67.78/col)
Wed Mar 17 06:09:01 2010  filtering completed in 2 passes
Wed Mar 17 06:09:06 2010  matrix is 12397674 x 12397851 (3726.3 MB)
with weight 1103199776 (88.98/col)
Wed Mar 17 06:09:06 2010  sparse part has weight 840443825 (67.79/col)
Wed Mar 17 06:10:43 2010  read 12397851 cycles
Wed Mar 17 06:10:58 2010  matrix is 12397674 x 12397851 (3726.3 MB)
with weight 1103199776 (88.98/col)
Wed Mar 17 06:10:58 2010  sparse part has weight 840443825 (67.79/col)
Wed Mar 17 06:10:59 2010  saving the first 48 matrix rows for later
Wed Mar 17 06:11:10 2010  matrix is 12397626 x 12397851 (3566.0 MB)
with weight 881335694 (71.09/col)
Wed Mar 17 06:11:10 2010  sparse part has weight 810826567 (65.40/col)
Wed Mar 17 06:11:10 2010  matrix includes 64 packed rows
Wed Mar 17 06:11:10 2010  using block size 65536 for processor cache
size 6144 kB
Wed Mar 17 06:12:23 2010  commencing Lanczos iteration (8 threads)
Wed Mar 17 06:12:23 2010  memory use: 4280.6 MB
Wed Mar 17 06:13:57 2010  linear algebra at 0.0%, ETA 394h12m
Wed Mar 17 10:19:14 2010  lanczos halted after 1956 iterations (dim = 123692)
Wed Mar 17 10:19:14 2010  BLanczosTime: 16837
Wed Mar 17 10:19:14 2010  elapsed time 04:40:40
Wed Mar 17 10:21:05 2010
Wed Mar 17 10:21:05 2010
Wed Mar 17 10:21:05 2010  Msieve v. 1.44
Wed Mar 17 10:21:05 2010  random seeds: d29ec497 4485ea53
Wed Mar 17 10:21:05 2010  factoring
204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347
(243 digits)
Wed Mar 17 10:21:09 2010  no P-1/P+1/ECM available, skipping
Wed Mar 17 10:21:09 2010  commencing number field sieve (243-digit input)
Wed Mar 17 10:21:09 2010  R0: -10000000000000000000000000000000000000000
Wed Mar 17 10:21:09 2010  R1:  1
Wed Mar 17 10:21:09 2010  A0:  3
Wed Mar 17 10:21:09 2010  A1:  0
Wed Mar 17 10:21:09 2010  A2:  0
Wed Mar 17 10:21:09 2010  A3:  0
Wed Mar 17 10:21:09 2010  A4:  0
Wed Mar 17 10:21:09 2010  A5:  0
Wed Mar 17 10:21:09 2010  A6:  10000
Wed Mar 17 10:21:09 2010  skew 0.26, size 5.202444e-12, alpha
-1.601825, combined = 4.006598e-13
Wed Mar 17 10:21:09 2010
Wed Mar 17 10:21:09 2010  commencing linear algebra
Wed Mar 17 10:21:12 2010  read 12397851 cycles
Wed Mar 17 10:21:26 2010  matrix is 12397674 x 12397851 (3726.3 MB)
with weight 1103199776 (88.98/col)
Wed Mar 17 10:21:26 2010  sparse part has weight 840443825 (67.79/col)
Wed Mar 17 10:21:27 2010  saving the first 48 matrix rows for later
Wed Mar 17 10:21:38 2010  matrix is 12397626 x 12397851 (3566.0 MB)
with weight 881335694 (71.09/col)
Wed Mar 17 10:21:38 2010  sparse part has weight 810826567 (65.40/col)
Wed Mar 17 10:21:38 2010  matrix includes 64 packed rows
Wed Mar 17 10:21:38 2010  using block size 65536 for processor cache
size 6144 kB
Wed Mar 17 10:22:54 2010  commencing Lanczos iteration (4 threads)
Wed Mar 17 10:22:54 2010  memory use: 3902.2 MB
Wed Mar 17 10:22:54 2010  restarting at iteration 1956 (dim = 123692)
Wed Mar 17 10:24:28 2010  linear algebra at 1.0%, ETA 422h47m
Wed Mar 31 22:20:47 2010  lanczos halted after 90677 iterations (dim = 5733761)
Wed Mar 31 22:20:48 2010  BLanczosTime: 1252779
Wed Mar 31 22:20:48 2010  elapsed time 347:59:43
Thu Apr  1 21:24:32 2010
Thu Apr  1 21:24:32 2010
Thu Apr  1 21:24:32 2010  Msieve v. 1.44
Thu Apr  1 21:24:32 2010  random seeds: d46ab9b7 3014abbf
Thu Apr  1 21:24:32 2010  factoring
204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347
(243 digits)
Thu Apr  1 21:24:36 2010  no P-1/P+1/ECM available, skipping
Thu Apr  1 21:24:36 2010  commencing number field sieve (243-digit input)
Thu Apr  1 21:24:36 2010  R0: -10000000000000000000000000000000000000000
Thu Apr  1 21:24:36 2010  R1:  1
Thu Apr  1 21:24:36 2010  A0:  3
Thu Apr  1 21:24:36 2010  A1:  0
Thu Apr  1 21:24:36 2010  A2:  0
Thu Apr  1 21:24:36 2010  A3:  0
Thu Apr  1 21:24:36 2010  A4:  0
Thu Apr  1 21:24:36 2010  A5:  0
Thu Apr  1 21:24:36 2010  A6:  10000
Thu Apr  1 21:24:36 2010  skew 0.26, size 5.202444e-12, alpha
-1.601825, combined = 4.006598e-13
Thu Apr  1 21:24:36 2010
Thu Apr  1 21:24:36 2010  commencing linear algebra
Thu Apr  1 21:24:42 2010  read 12397851 cycles
Thu Apr  1 21:25:42 2010  matrix is 12397674 x 12397851 (3726.3 MB)
with weight 1103199776 (88.98/col)
Thu Apr  1 21:25:42 2010  sparse part has weight 840443825 (67.79/col)
Thu Apr  1 21:25:43 2010  saving the first 48 matrix rows for later
Thu Apr  1 21:25:54 2010  matrix is 12397626 x 12397851 (3566.0 MB)
with weight 881335694 (71.09/col)
Thu Apr  1 21:25:54 2010  sparse part has weight 810826567 (65.40/col)
Thu Apr  1 21:25:54 2010  matrix includes 64 packed rows
Thu Apr  1 21:25:54 2010  using block size 65536 for processor cache
size 6144 kB
Thu Apr  1 21:27:08 2010  commencing Lanczos iteration (8 threads)
Thu Apr  1 21:27:08 2010  memory use: 4280.6 MB
Thu Apr  1 21:27:17 2010  restarting at iteration 90677 (dim = 5733761)
Thu Apr  1 21:28:56 2010  linear algebra at 46.3%, ETA 243h40m
Tue Apr  6 18:33:19 2010
Tue Apr  6 18:33:19 2010
Tue Apr  6 18:33:19 2010  Msieve v. 1.44
Tue Apr  6 18:33:19 2010  random seeds: c37412e1 8381d132
Tue Apr  6 18:33:19 2010  factoring
204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347
(243 digits)
Tue Apr  6 18:33:23 2010  no P-1/P+1/ECM available, skipping
Tue Apr  6 18:33:23 2010  commencing number field sieve (243-digit input)
Tue Apr  6 18:33:23 2010  R0: -10000000000000000000000000000000000000000
Tue Apr  6 18:33:23 2010  R1:  1
Tue Apr  6 18:33:23 2010  A0:  3
Tue Apr  6 18:33:23 2010  A1:  0
Tue Apr  6 18:33:23 2010  A2:  0
Tue Apr  6 18:33:23 2010  A3:  0
Tue Apr  6 18:33:23 2010  A4:  0
Tue Apr  6 18:33:23 2010  A5:  0
Tue Apr  6 18:33:23 2010  A6:  10000
Tue Apr  6 18:33:23 2010  skew 0.26, size 5.202444e-12, alpha
-1.601825, combined = 4.006598e-13
Tue Apr  6 18:33:23 2010
Tue Apr  6 18:33:23 2010  commencing linear algebra
Tue Apr  6 18:33:29 2010  read 12397851 cycles
Tue Apr  6 18:34:36 2010  matrix is 12397674 x 12397851 (3726.3 MB)
with weight 1103199776 (88.98/col)
Tue Apr  6 18:34:36 2010  sparse part has weight 840443825 (67.79/col)
Tue Apr  6 18:34:37 2010  saving the first 48 matrix rows for later
Tue Apr  6 18:34:48 2010  matrix is 12397626 x 12397851 (3566.0 MB)
with weight 881335694 (71.09/col)
Tue Apr  6 18:34:48 2010  sparse part has weight 810826567 (65.40/col)
Tue Apr  6 18:34:48 2010  matrix includes 64 packed rows
Tue Apr  6 18:34:48 2010  using block size 65536 for processor cache
size 6144 kB
Tue Apr  6 18:36:01 2010  commencing Lanczos iteration (8 threads)
Tue Apr  6 18:36:01 2010  memory use: 4280.6 MB
Tue Apr  6 18:36:02 2010  restarting at iteration 146601 (dim = 9270018)
Tue Apr  6 18:37:28 2010  linear algebra at 74.8%, ETA 97h46m
Sat Apr 10 21:52:47 2010  lanczos halted after 196062 iterations (dim
= 12397622)
Sat Apr 10 21:53:37 2010  recovered 36 nontrivial dependencies
Sat Apr 10 21:53:39 2010  BLanczosTime: 357616
Sat Apr 10 21:53:39 2010  elapsed time 99:20:20
Sun Apr 11 06:34:58 2010
Sun Apr 11 06:34:59 2010
Sun Apr 11 06:34:59 2010  Msieve v. 1.44
Sun Apr 11 06:34:59 2010  random seeds: ffb80e93 6df64d82
Sun Apr 11 06:34:59 2010  factoring
204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347
(243 digits)
Sun Apr 11 06:35:02 2010  no P-1/P+1/ECM available, skipping
Sun Apr 11 06:35:02 2010  commencing number field sieve (243-digit input)
Sun Apr 11 06:35:02 2010  R0: -10000000000000000000000000000000000000000
Sun Apr 11 06:35:02 2010  R1:  1
Sun Apr 11 06:35:02 2010  A0:  3
Sun Apr 11 06:35:02 2010  A1:  0
Sun Apr 11 06:35:02 2010  A2:  0
Sun Apr 11 06:35:02 2010  A3:  0
Sun Apr 11 06:35:02 2010  A4:  0
Sun Apr 11 06:35:02 2010  A5:  0
Sun Apr 11 06:35:02 2010  A6:  10000
Sun Apr 11 06:35:02 2010  skew 0.26, size 5.202444e-12, alpha
-1.601825, combined = 4.006598e-13
Sun Apr 11 06:35:02 2010
Sun Apr 11 06:35:02 2010  commencing square root phase
Sun Apr 11 06:35:02 2010  reading relations for dependency 1
Sun Apr 11 06:35:05 2010  read 6197996 cycles
Sun Apr 11 06:35:22 2010  cycles contain 17156728 unique relations
Sun Apr 11 06:39:23 2010  read 17156728 relations
Sun Apr 11 06:41:51 2010  multiplying 17156728 relations
Sun Apr 11 07:23:44 2010  multiply complete, coefficients have about
643.94 million bits
Sun Apr 11 07:23:50 2010  warning: no irreducible prime found,
switching to small primes
Sun Apr 11 07:23:51 2010  initial square root is modulo 53
Sun Apr 11 08:57:09 2010  Newton iteration failed to converge
Sun Apr 11 08:57:09 2010  algebraic square root failed
Sun Apr 11 08:57:09 2010  reading relations for dependency 2
Sun Apr 11 08:57:12 2010  read 6201283 cycles
Sun Apr 11 08:57:29 2010  cycles contain 17160374 unique relations
Sun Apr 11 09:00:50 2010  read 17160374 relations
Sun Apr 11 09:03:19 2010  multiplying 17160374 relations
Sun Apr 11 09:45:12 2010  multiply complete, coefficients have about
644.07 million bits
Sun Apr 11 09:45:17 2010  warning: no irreducible prime found,
switching to small primes
Sun Apr 11 09:45:18 2010  initial square root is modulo 53
Sun Apr 11 11:18:42 2010  sqrtTime: 17020
Sun Apr 11 11:18:42 2010  prp89 factor:
59720088627032414844300913484960240486992227836360956162494858291719661989419907354629477
Sun Apr 11 11:18:42 2010  prp154 factor:
3417302910040948508856235566952537608332675148550110614390522344520191507292744118335846577940572743077781819963576545606576724633145957142504470411800311
Sun Apr 11 11:18:42 2010  elapsed time 04:43:43
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6266260Serge BatalovDecember 16, 2008 02:11:40 UTC 2008 年 12 月 16 日 (火) 11 時 11 分 40 秒 (日本時間)
6Serge BatalovJanuary 2, 2009 07:31:20 UTC 2009 年 1 月 2 日 (金) 16 時 31 分 20 秒 (日本時間)
4511e6202020Serge BatalovDecember 16, 2008 02:11:40 UTC 2008 年 12 月 16 日 (火) 11 時 11 分 40 秒 (日本時間)
580Serge BatalovJanuary 2, 2009 07:30:43 UTC 2009 年 1 月 2 日 (金) 16 時 30 分 43 秒 (日本時間)
1420Serge BatalovJanuary 2, 2009 19:32:31 UTC 2009 年 1 月 3 日 (土) 4 時 32 分 31 秒 (日本時間)
5043e61010 / 7090yoyo@homeJanuary 14, 2010 02:22:44 UTC 2010 年 1 月 14 日 (木) 11 時 22 分 44 秒 (日本時間)

10245+3

c243

name 名前Serge Batalov
date 日付December 16, 2008 01:56:03 UTC 2008 年 12 月 16 日 (火) 10 時 56 分 3 秒 (日本時間)
composite number 合成数
251889168765743073047858942065491183879093198992443324937027707808564231738035264483627204030226700251889168765743073047858942065491183879093198992443324937027707808564231738035264483627204030226700251889168765743073047858942065491183879093199<243>
prime factors 素因数
1523139408975506847609408057356772403<37>
composite cofactor 合成数の残り
165374992782288143099098664420190855135065524201790567845531019468290719579509530782801360420860492125166999904737069490397081057711442662739511913130562317785089919433785439437190546446326948947840039161333<207>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1013441708
Step 1 took 88160ms
Step 2 took 36093ms
********** Factor found in step 2: 1523139408975506847609408057356772403
Found probable prime factor of 37 digits: 1523139408975506847609408057356772403
Composite cofactor has 207 digits
software ソフトウェア
GMP-ECM 6.2.1

c207

name 名前Justin Card
date 日付June 10, 2010 22:17:08 UTC 2010 年 6 月 11 日 (金) 7 時 17 分 8 秒 (日本時間)
composite number 合成数
165374992782288143099098664420190855135065524201790567845531019468290719579509530782801360420860492125166999904737069490397081057711442662739511913130562317785089919433785439437190546446326948947840039161333<207>
prime factors 素因数
307895661467105921525359874359213<33>
composite cofactor 合成数の残り
537113748190816923485281042551225092133313723304891569266093591694700944343418591663694367332768609699743249149929683474716479915525616068650260570394604962187996754335707241<174>
factorization results 素因数分解の結果
[2010-06-10 13:47:47 GMT] 10003_245: probable factor returned by justin@darkenedpath.com (c2)!  Factor=307895661467105921525359874359213  Method=ECM  B1=1000000  Sigma=289105393
[2010-06-10 13:47:47 GMT] 10003_245: Composite factor returned by justin@darkenedpath.com (c2)!  Factor=537113748190816923485281042551225092133313723304891569266093591694700944343418591663694367332768609699743249149929683474716479915525616068650260570394604962187996754335707241  Method=ECM  B1=1000000  Sigma=289105393
software ソフトウェア
gmp-ecm 6.2
execution environment 実行環境
Ubuntu Linux 10.04, Athlon 64x2 2600+, 1G RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 5, 2011 17:45:23 UTC 2011 年 6 月 6 日 (月) 2 時 45 分 23 秒 (日本時間)
403e62159110Ignacio SantosJune 5, 2011 17:45:23 UTC 2011 年 6 月 6 日 (月) 2 時 45 分 23 秒 (日本時間)
2049Youcef LemsaferNovember 8, 2013 16:12:43 UTC 2013 年 11 月 9 日 (土) 1 時 12 分 43 秒 (日本時間)
4511e6554 / 398832Ignacio SantosJune 5, 2011 17:45:23 UTC 2011 年 6 月 6 日 (月) 2 時 45 分 23 秒 (日本時間)
522Youcef LemsaferNovember 8, 2013 20:30:17 UTC 2013 年 11 月 9 日 (土) 5 時 30 分 17 秒 (日本時間)

10247+3

c210

composite cofactor 合成数の残り
860793416383522320552412138060546611814578353151000210663963266532769445331777125007358863024734133527024112180102529918351418734778813241296780990004204739231585559546057004553109488628293560203952643513251701<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 5, 2011 19:15:09 UTC 2011 年 6 月 6 日 (月) 4 時 15 分 9 秒 (日本時間)
403e62173110Ignacio SantosJune 5, 2011 19:15:09 UTC 2011 年 6 月 6 日 (月) 4 時 15 分 9 秒 (日本時間)
2063Youcef LemsaferNovember 9, 2013 06:28:50 UTC 2013 年 11 月 9 日 (土) 15 時 28 分 50 秒 (日本時間)
4511e61382 / 398532Ignacio SantosJune 5, 2011 19:15:09 UTC 2011 年 6 月 6 日 (月) 4 時 15 分 9 秒 (日本時間)
1350Youcef LemsaferNovember 9, 2013 10:46:14 UTC 2013 年 11 月 9 日 (土) 19 時 46 分 14 秒 (日本時間)

10248+3

c228

name 名前Youcef Lemsafer
date 日付November 9, 2013 10:50:09 UTC 2013 年 11 月 9 日 (土) 19 時 50 分 9 秒 (日本時間)
composite number 合成数
187068287965862988254356650994366431093646233238958165472687247300909871046176050579761635445826812286881972346829349171566903949006603607387258814299826283313912487991263468411788506892631943215469625141837046221018444607392687<228>
prime factors 素因数
16031381961952347637116191005607843989279<41>
composite cofactor 合成数の残り
11668880974194022388360515015151934014030522712869175584429869177818905983854793679758130377670470140013220976379335085381836660332213769796601786392265560532448629113504228151678513527153<188>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^248+3)/(19*223*126165718229274337) (228 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3741404180
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+007        3.9e+008        6e+009  1.1e+011        7.4e+015
Step 1 took 20482ms
Using 27 small primes for NTT
Estimated memory usage: 72M
Initializing tables of differences for F took 15ms
Computing roots of F took 499ms
Building F from its roots took 1358ms
Computing 1/F took 780ms
Initializing table of differences for G took 15ms
Computing roots of G took 484ms
Building G from its roots took 1295ms
Computing roots of G took 452ms
Building G from its roots took 1279ms
Computing G * H took 421ms
Reducing  G * H mod F took 468ms
Computing polyeval(F,G) took 2714ms
Computing product of all F(g_i) took 16ms
Step 2 took 9860ms
********** Factor found in step 2: 16031381961952347637116191005607843989279
Found probable prime factor of 41 digits: 16031381961952347637116191005607843989279
Composite cofactor ((10^248+3)/(19*223*126165718229274337))/16031381961952347637116191005607843989279 has 188 digits

c188

name 名前Youcef Lemsafer
date 日付November 9, 2013 14:08:01 UTC 2013 年 11 月 9 日 (土) 23 時 8 分 1 秒 (日本時間)
composite number 合成数
11668880974194022388360515015151934014030522712869175584429869177818905983854793679758130377670470140013220976379335085381836660332213769796601786392265560532448629113504228151678513527153<188>
prime factors 素因数
12824921391934305400334065366552991673187<41>
909859843782954803669485606744362871393328807169614827921227676725219063311610988441194226628043951030778661638644866053620575275871547399180001819<147>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^248+3)/(19*223*126165718229274337*16031381961952347637116191005607843989279) (188 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1601899263
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+007        3.9e+008        6e+009  1.1e+011        7.4e+015
Step 1 took 15100ms
Using 23 small primes for NTT
Estimated memory usage: 61M
Initializing tables of differences for F took 0ms
Computing roots of F took 421ms
Building F from its roots took 1092ms
Computing 1/F took 640ms
Initializing table of differences for G took 16ms
Computing roots of G took 374ms
Building G from its roots took 1076ms
Computing roots of G took 375ms
Building G from its roots took 1092ms
Computing G * H took 359ms
Reducing  G * H mod F took 390ms
Computing polyeval(F,G) took 2230ms
Computing product of all F(g_i) took 16ms
Step 2 took 8144ms
********** Factor found in step 2: 12824921391934305400334065366552991673187
Found probable prime factor of 41 digits: 12824921391934305400334065366552991673187
Probable prime cofactor ((10^248+3)/(19*223*126165718229274337*16031381961952347637116191005607843989279))/12824921391934305400334065366552991673187 has 147 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 5, 2011 21:19:05 UTC 2011 年 6 月 6 日 (月) 6 時 19 分 5 秒 (日本時間)
403e61457 / 2144110Ignacio SantosJune 5, 2011 21:19:05 UTC 2011 年 6 月 6 日 (月) 6 時 19 分 5 秒 (日本時間)
275Youcef LemsaferNovember 9, 2013 10:47:25 UTC 2013 年 11 月 9 日 (土) 19 時 47 分 25 秒 (日本時間)
1072Youcef LemsaferNovember 9, 2013 14:06:57 UTC 2013 年 11 月 9 日 (土) 23 時 6 分 57 秒 (日本時間)
4511e632 / 4143Ignacio SantosJune 5, 2011 21:19:05 UTC 2011 年 6 月 6 日 (月) 6 時 19 分 5 秒 (日本時間)

10250+3

c248

name 名前RSALS + Jeff Gilchrist
date 日付May 8, 2010 10:28:43 UTC 2010 年 5 月 8 日 (土) 19 時 28 分 43 秒 (日本時間)
composite number 合成数
33222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269103<248>
prime factors 素因数
1012809912772949923378144696975861902413702431<46>
1774117486132956141457234973491829250427156975510339<52>
48125349750791910686580777709024796929599190379104252235040093941183527<71>
384192856833907847524586566390613365418318013593453279573413992127914439985524621<81>
factorization results 素因数分解の結果
<ECM up to t45 by yoyo@home>

<sieving by the RSALS grid>

<filtering, linear algebra and square root by Jeff Gilchrist>
Tue Apr 13 06:11:06 2010  
Tue Apr 13 06:11:06 2010  
Tue Apr 13 06:11:06 2010  Msieve v. 1.44
Tue Apr 13 06:11:06 2010  random seeds: 1f530fe2 e9db9fa4
Tue Apr 13 06:11:06 2010  factoring 33222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269103 (248 digits)
Tue Apr 13 06:11:10 2010  no P-1/P+1/ECM available, skipping
Tue Apr 13 06:11:10 2010  commencing number field sieve (248-digit input)
Tue Apr 13 06:11:10 2010  R0: -100000000000000000000000000000000000000000
Tue Apr 13 06:11:10 2010  R1:  1
Tue Apr 13 06:11:10 2010  A0:  3
Tue Apr 13 06:11:10 2010  A1:  0
Tue Apr 13 06:11:10 2010  A2:  0
Tue Apr 13 06:11:10 2010  A3:  0
Tue Apr 13 06:11:10 2010  A4:  0
Tue Apr 13 06:11:10 2010  A5:  0
Tue Apr 13 06:11:10 2010  A6:  10000
Tue Apr 13 06:11:10 2010  skew 0.26, size 2.694593e-12, alpha -1.601825, combined = 2.466062e-13
Tue Apr 13 06:11:11 2010  
Tue Apr 13 06:11:11 2010  commencing relation filtering
Tue Apr 13 06:11:11 2010  estimated available RAM is 32159.4 MB
Tue Apr 13 06:11:11 2010  commencing duplicate removal, pass 1
<snip errors reading relations>
Tue Apr 13 06:50:10 2010  found 43479897 hash collisions in 223251500 relations
Tue Apr 13 06:50:25 2010  added 2437510 free relations
Tue Apr 13 06:50:26 2010  commencing duplicate removal, pass 2
Tue Apr 13 06:53:37 2010  found 42825421 duplicates and 182863589 unique relations
Tue Apr 13 06:53:37 2010  memory use: 1321.5 MB
Tue Apr 13 06:53:38 2010  reading ideals above 168230912
Tue Apr 13 06:53:38 2010  commencing singleton removal, initial pass
Tue Apr 13 07:28:52 2010  memory use: 3012.0 MB
Tue Apr 13 07:28:53 2010  reading all ideals from disk
Tue Apr 13 07:29:06 2010  memory use: 3265.0 MB
Tue Apr 13 07:29:28 2010  commencing in-memory singleton removal
Tue Apr 13 07:29:49 2010  begin with 182863589 relations and 153496118 unique ideals
Tue Apr 13 07:33:26 2010  reduce to 111407076 relations and 73911976 ideals in 14 passes
Tue Apr 13 07:33:26 2010  max relations containing the same ideal: 34
Tue Apr 13 07:33:52 2010  reading ideals above 720000
Tue Apr 13 07:33:53 2010  commencing singleton removal, initial pass
Tue Apr 13 08:03:23 2010  memory use: 2756.0 MB
Tue Apr 13 08:03:24 2010  reading all ideals from disk
Tue Apr 13 08:03:40 2010  memory use: 4423.2 MB
Tue Apr 13 08:04:13 2010  keeping 92142531 ideals with weight <= 200, target excess is 580335
Tue Apr 13 08:04:51 2010  commencing in-memory singleton removal
Tue Apr 13 08:05:19 2010  begin with 111407076 relations and 92142531 unique ideals
Tue Apr 13 08:09:35 2010  reduce to 111365903 relations and 92101357 ideals in 9 passes
Tue Apr 13 08:09:35 2010  max relations containing the same ideal: 200
Tue Apr 13 08:11:43 2010  removing 3591582 relations and 3191582 ideals in 400000 cliques
Tue Apr 13 08:11:52 2010  commencing in-memory singleton removal
Tue Apr 13 08:12:19 2010  begin with 107774321 relations and 92101357 unique ideals
Tue Apr 13 08:15:32 2010  reduce to 107715226 relations and 88850361 ideals in 7 passes
Tue Apr 13 08:15:32 2010  max relations containing the same ideal: 200
Tue Apr 13 08:17:34 2010  removing 2670387 relations and 2270387 ideals in 400000 cliques
Tue Apr 13 08:17:43 2010  commencing in-memory singleton removal
Tue Apr 13 08:18:09 2010  begin with 105044839 relations and 88850361 unique ideals
Tue Apr 13 08:20:50 2010  reduce to 105008983 relations and 86543979 ideals in 6 passes
Tue Apr 13 08:20:50 2010  max relations containing the same ideal: 199
Tue Apr 13 08:22:49 2010  removing 2365025 relations and 1965025 ideals in 400000 cliques
Tue Apr 13 08:22:57 2010  commencing in-memory singleton removal
Tue Apr 13 08:23:23 2010  begin with 102643958 relations and 86543979 unique ideals
Tue Apr 13 08:26:00 2010  reduce to 102614316 relations and 84549175 ideals in 6 passes
Tue Apr 13 08:26:00 2010  max relations containing the same ideal: 196
Tue Apr 13 08:27:56 2010  removing 2187615 relations and 1787615 ideals in 400000 cliques
Tue Apr 13 08:28:04 2010  commencing in-memory singleton removal
Tue Apr 13 08:28:29 2010  begin with 100426701 relations and 84549175 unique ideals
Tue Apr 13 08:31:03 2010  reduce to 100400544 relations and 82735308 ideals in 6 passes
Tue Apr 13 08:31:03 2010  max relations containing the same ideal: 194
Tue Apr 13 08:32:55 2010  removing 2064887 relations and 1664887 ideals in 400000 cliques
Tue Apr 13 08:33:03 2010  commencing in-memory singleton removal
Tue Apr 13 08:33:28 2010  begin with 98335657 relations and 82735308 unique ideals
Tue Apr 13 08:35:57 2010  reduce to 98312399 relations and 81047074 ideals in 6 passes
Tue Apr 13 08:35:57 2010  max relations containing the same ideal: 191
Tue Apr 13 08:37:48 2010  removing 1966709 relations and 1566709 ideals in 400000 cliques
Tue Apr 13 08:37:55 2010  commencing in-memory singleton removal
Tue Apr 13 08:38:19 2010  begin with 96345690 relations and 81047074 unique ideals
Tue Apr 13 08:40:22 2010  reduce to 96323313 relations and 79457908 ideals in 5 passes
Tue Apr 13 08:40:22 2010  max relations containing the same ideal: 189
Tue Apr 13 08:42:09 2010  removing 1895281 relations and 1495281 ideals in 400000 cliques
Tue Apr 13 08:42:17 2010  commencing in-memory singleton removal
Tue Apr 13 08:42:40 2010  begin with 94428032 relations and 79457908 unique ideals
Tue Apr 13 08:45:04 2010  reduce to 94407291 relations and 77941803 ideals in 6 passes
Tue Apr 13 08:45:04 2010  max relations containing the same ideal: 186
Tue Apr 13 08:46:49 2010  removing 1824898 relations and 1424898 ideals in 400000 cliques
Tue Apr 13 08:46:57 2010  commencing in-memory singleton removal
Tue Apr 13 08:47:20 2010  begin with 92582393 relations and 77941803 unique ideals
Tue Apr 13 08:49:17 2010  reduce to 92560530 relations and 76494955 ideals in 5 passes
Tue Apr 13 08:49:17 2010  max relations containing the same ideal: 184
Tue Apr 13 08:51:00 2010  removing 1779731 relations and 1379731 ideals in 400000 cliques
Tue Apr 13 08:51:07 2010  commencing in-memory singleton removal
Tue Apr 13 08:51:30 2010  begin with 90780799 relations and 76494955 unique ideals
Tue Apr 13 08:53:24 2010  reduce to 90762386 relations and 75096744 ideals in 5 passes
Tue Apr 13 08:53:24 2010  max relations containing the same ideal: 182
Tue Apr 13 08:55:06 2010  removing 1726448 relations and 1326448 ideals in 400000 cliques
Tue Apr 13 08:55:13 2010  commencing in-memory singleton removal
Tue Apr 13 08:55:35 2010  begin with 89035938 relations and 75096744 unique ideals
Tue Apr 13 08:57:27 2010  reduce to 89016595 relations and 73750882 ideals in 5 passes
Tue Apr 13 08:57:27 2010  max relations containing the same ideal: 180
Tue Apr 13 08:59:06 2010  removing 1693905 relations and 1293905 ideals in 400000 cliques
Tue Apr 13 08:59:13 2010  commencing in-memory singleton removal
Tue Apr 13 08:59:35 2010  begin with 87322690 relations and 73750882 unique ideals
Tue Apr 13 09:01:46 2010  reduce to 87303442 relations and 72437653 ideals in 6 passes
Tue Apr 13 09:01:47 2010  max relations containing the same ideal: 180
Tue Apr 13 09:03:24 2010  removing 1652260 relations and 1252260 ideals in 400000 cliques
Tue Apr 13 09:03:30 2010  commencing in-memory singleton removal
Tue Apr 13 09:03:51 2010  begin with 85651182 relations and 72437653 unique ideals
Tue Apr 13 09:05:39 2010  reduce to 85631786 relations and 71165908 ideals in 5 passes
Tue Apr 13 09:05:39 2010  max relations containing the same ideal: 179
Tue Apr 13 09:07:15 2010  removing 1632433 relations and 1232433 ideals in 400000 cliques
Tue Apr 13 09:07:21 2010  commencing in-memory singleton removal
Tue Apr 13 09:07:42 2010  begin with 83999353 relations and 71165908 unique ideals
Tue Apr 13 09:09:49 2010  reduce to 83983308 relations and 69917363 ideals in 6 passes
Tue Apr 13 09:09:49 2010  max relations containing the same ideal: 174
Tue Apr 13 09:11:22 2010  removing 1590500 relations and 1190500 ideals in 400000 cliques
Tue Apr 13 09:11:28 2010  commencing in-memory singleton removal
Tue Apr 13 09:11:49 2010  begin with 82392808 relations and 69917363 unique ideals
Tue Apr 13 09:13:32 2010  reduce to 82375705 relations and 68709702 ideals in 5 passes
Tue Apr 13 09:13:32 2010  max relations containing the same ideal: 173
Tue Apr 13 09:15:03 2010  removing 1570418 relations and 1170418 ideals in 400000 cliques
Tue Apr 13 09:15:10 2010  commencing in-memory singleton removal
Tue Apr 13 09:15:30 2010  begin with 80805287 relations and 68709702 unique ideals
Tue Apr 13 09:17:11 2010  reduce to 80788165 relations and 67522097 ideals in 5 passes
Tue Apr 13 09:17:11 2010  max relations containing the same ideal: 169
Tue Apr 13 09:18:40 2010  removing 1550542 relations and 1150542 ideals in 400000 cliques
Tue Apr 13 09:18:46 2010  commencing in-memory singleton removal
Tue Apr 13 09:19:06 2010  begin with 79237623 relations and 67522097 unique ideals
Tue Apr 13 09:21:05 2010  reduce to 79220680 relations and 66354541 ideals in 6 passes
Tue Apr 13 09:21:05 2010  max relations containing the same ideal: 167
Tue Apr 13 09:22:33 2010  removing 1530050 relations and 1130050 ideals in 400000 cliques
Tue Apr 13 09:22:39 2010  commencing in-memory singleton removal
Tue Apr 13 09:22:58 2010  begin with 77690630 relations and 66354541 unique ideals
Tue Apr 13 09:24:55 2010  reduce to 77673118 relations and 65206886 ideals in 6 passes
Tue Apr 13 09:24:55 2010  max relations containing the same ideal: 167
Tue Apr 13 09:26:20 2010  removing 1491952 relations and 1091952 ideals in 400000 cliques
Tue Apr 13 09:26:26 2010  commencing in-memory singleton removal
Tue Apr 13 09:26:45 2010  begin with 76181166 relations and 65206886 unique ideals
Tue Apr 13 09:28:21 2010  reduce to 76161084 relations and 64094750 ideals in 5 passes
Tue Apr 13 09:28:21 2010  max relations containing the same ideal: 165
Tue Apr 13 09:29:45 2010  removing 1494226 relations and 1094226 ideals in 400000 cliques
Tue Apr 13 09:29:50 2010  commencing in-memory singleton removal
Tue Apr 13 09:30:09 2010  begin with 74666858 relations and 64094750 unique ideals
Tue Apr 13 09:32:01 2010  reduce to 74651513 relations and 62985097 ideals in 6 passes
Tue Apr 13 09:32:01 2010  max relations containing the same ideal: 163
Tue Apr 13 09:33:23 2010  removing 1454148 relations and 1054148 ideals in 400000 cliques
Tue Apr 13 09:33:29 2010  commencing in-memory singleton removal
Tue Apr 13 09:33:47 2010  begin with 73197365 relations and 62985097 unique ideals
Tue Apr 13 09:35:00 2010  reduce to 73180997 relations and 61914496 ideals in 4 passes
Tue Apr 13 09:35:00 2010  max relations containing the same ideal: 161
Tue Apr 13 09:36:21 2010  removing 1440358 relations and 1040358 ideals in 400000 cliques
Tue Apr 13 09:36:27 2010  commencing in-memory singleton removal
Tue Apr 13 09:36:44 2010  begin with 71740639 relations and 61914496 unique ideals
Tue Apr 13 09:38:14 2010  reduce to 71723840 relations and 60857261 ideals in 5 passes
Tue Apr 13 09:38:14 2010  max relations containing the same ideal: 158
Tue Apr 13 09:39:33 2010  removing 1421422 relations and 1021422 ideals in 400000 cliques
Tue Apr 13 09:39:38 2010  commencing in-memory singleton removal
Tue Apr 13 09:39:56 2010  begin with 70302418 relations and 60857261 unique ideals
Tue Apr 13 09:41:24 2010  reduce to 70284596 relations and 59817905 ideals in 5 passes
Tue Apr 13 09:41:24 2010  max relations containing the same ideal: 156
Tue Apr 13 09:42:41 2010  removing 1415111 relations and 1015111 ideals in 400000 cliques
Tue Apr 13 09:42:46 2010  commencing in-memory singleton removal
Tue Apr 13 09:43:03 2010  begin with 68869485 relations and 59817905 unique ideals
Tue Apr 13 09:44:29 2010  reduce to 68851483 relations and 58784685 ideals in 5 passes
Tue Apr 13 09:44:29 2010  max relations containing the same ideal: 156
Tue Apr 13 09:45:45 2010  removing 1408952 relations and 1008952 ideals in 400000 cliques
Tue Apr 13 09:45:50 2010  commencing in-memory singleton removal
Tue Apr 13 09:46:07 2010  begin with 67442531 relations and 58784685 unique ideals
Tue Apr 13 09:47:31 2010  reduce to 67425370 relations and 57758468 ideals in 5 passes
Tue Apr 13 09:47:31 2010  max relations containing the same ideal: 154
Tue Apr 13 09:48:45 2010  removing 1386404 relations and 986404 ideals in 400000 cliques
Tue Apr 13 09:48:50 2010  commencing in-memory singleton removal
Tue Apr 13 09:49:07 2010  begin with 66038966 relations and 57758468 unique ideals
Tue Apr 13 09:50:29 2010  reduce to 66021035 relations and 56754024 ideals in 5 passes
Tue Apr 13 09:50:29 2010  max relations containing the same ideal: 151
Tue Apr 13 09:51:41 2010  removing 1375994 relations and 975994 ideals in 400000 cliques
Tue Apr 13 09:51:46 2010  commencing in-memory singleton removal
Tue Apr 13 09:52:02 2010  begin with 64645041 relations and 56754024 unique ideals
Tue Apr 13 09:53:23 2010  reduce to 64626484 relations and 55759333 ideals in 5 passes
Tue Apr 13 09:53:23 2010  max relations containing the same ideal: 148
Tue Apr 13 09:54:34 2010  removing 1368184 relations and 968184 ideals in 400000 cliques
Tue Apr 13 09:54:39 2010  commencing in-memory singleton removal
Tue Apr 13 09:54:55 2010  begin with 63258300 relations and 55759333 unique ideals
Tue Apr 13 09:56:14 2010  reduce to 63239394 relations and 54772114 ideals in 5 passes
Tue Apr 13 09:56:14 2010  max relations containing the same ideal: 146
Tue Apr 13 09:57:23 2010  removing 1352362 relations and 952362 ideals in 400000 cliques
Tue Apr 13 09:57:28 2010  commencing in-memory singleton removal
Tue Apr 13 09:57:43 2010  begin with 61887032 relations and 54772114 unique ideals
Tue Apr 13 09:59:00 2010  reduce to 61867079 relations and 53799633 ideals in 5 passes
Tue Apr 13 09:59:00 2010  max relations containing the same ideal: 146
Tue Apr 13 10:00:08 2010  removing 1341809 relations and 941809 ideals in 400000 cliques
Tue Apr 13 10:00:12 2010  commencing in-memory singleton removal
Tue Apr 13 10:00:27 2010  begin with 60525270 relations and 53799633 unique ideals
Tue Apr 13 10:01:43 2010  reduce to 60504642 relations and 52837021 ideals in 5 passes
Tue Apr 13 10:01:43 2010  max relations containing the same ideal: 143
Tue Apr 13 10:02:49 2010  removing 1328918 relations and 928918 ideals in 400000 cliques
Tue Apr 13 10:02:54 2010  commencing in-memory singleton removal
Tue Apr 13 10:03:08 2010  begin with 59175724 relations and 52837021 unique ideals
Tue Apr 13 10:04:22 2010  reduce to 59154147 relations and 51886347 ideals in 5 passes
Tue Apr 13 10:04:22 2010  max relations containing the same ideal: 138
Tue Apr 13 10:05:27 2010  removing 1322231 relations and 922231 ideals in 400000 cliques
Tue Apr 13 10:05:31 2010  commencing in-memory singleton removal
Tue Apr 13 10:05:46 2010  begin with 57831916 relations and 51886347 unique ideals
Tue Apr 13 10:06:58 2010  reduce to 57811433 relations and 50943455 ideals in 5 passes
Tue Apr 13 10:06:58 2010  max relations containing the same ideal: 136
Tue Apr 13 10:08:01 2010  removing 1312981 relations and 912981 ideals in 400000 cliques
Tue Apr 13 10:08:06 2010  commencing in-memory singleton removal
Tue Apr 13 10:08:19 2010  begin with 56498452 relations and 50943455 unique ideals
Tue Apr 13 10:09:30 2010  reduce to 56478647 relations and 50010461 ideals in 5 passes
Tue Apr 13 10:09:30 2010  max relations containing the same ideal: 135
Tue Apr 13 10:10:32 2010  removing 1303383 relations and 903383 ideals in 400000 cliques
Tue Apr 13 10:10:36 2010  commencing in-memory singleton removal
Tue Apr 13 10:10:49 2010  begin with 55175264 relations and 50010461 unique ideals
Tue Apr 13 10:11:58 2010  reduce to 55155505 relations and 49087141 ideals in 5 passes
Tue Apr 13 10:11:58 2010  max relations containing the same ideal: 135
Tue Apr 13 10:12:59 2010  removing 1295826 relations and 895826 ideals in 400000 cliques
Tue Apr 13 10:13:03 2010  commencing in-memory singleton removal
Tue Apr 13 10:13:16 2010  begin with 53859679 relations and 49087141 unique ideals
Tue Apr 13 10:14:23 2010  reduce to 53839778 relations and 48171236 ideals in 5 passes
Tue Apr 13 10:14:23 2010  max relations containing the same ideal: 131
Tue Apr 13 10:15:22 2010  removing 1288593 relations and 888593 ideals in 400000 cliques
Tue Apr 13 10:15:26 2010  commencing in-memory singleton removal
Tue Apr 13 10:15:39 2010  begin with 52551185 relations and 48171236 unique ideals
Tue Apr 13 10:16:45 2010  reduce to 52530573 relations and 47261828 ideals in 5 passes
Tue Apr 13 10:16:45 2010  max relations containing the same ideal: 130
Tue Apr 13 10:17:42 2010  removing 1285619 relations and 885619 ideals in 400000 cliques
Tue Apr 13 10:17:46 2010  commencing in-memory singleton removal
Tue Apr 13 10:17:59 2010  begin with 51244954 relations and 47261828 unique ideals
Tue Apr 13 10:19:02 2010  reduce to 51223548 relations and 46354616 ideals in 5 passes
Tue Apr 13 10:19:02 2010  max relations containing the same ideal: 126
Tue Apr 13 10:19:58 2010  removing 1285726 relations and 885726 ideals in 400000 cliques
Tue Apr 13 10:20:02 2010  commencing in-memory singleton removal
Tue Apr 13 10:20:15 2010  begin with 49937822 relations and 46354616 unique ideals
Tue Apr 13 10:21:17 2010  reduce to 49916324 relations and 45447166 ideals in 5 passes
Tue Apr 13 10:21:17 2010  max relations containing the same ideal: 123
Tue Apr 13 10:22:11 2010  removing 1279651 relations and 879651 ideals in 400000 cliques
Tue Apr 13 10:22:15 2010  commencing in-memory singleton removal
Tue Apr 13 10:22:27 2010  begin with 48636673 relations and 45447166 unique ideals
Tue Apr 13 10:23:28 2010  reduce to 48614688 relations and 44545298 ideals in 5 passes
Tue Apr 13 10:23:28 2010  max relations containing the same ideal: 121
Tue Apr 13 10:24:21 2010  removing 1275645 relations and 875645 ideals in 400000 cliques
Tue Apr 13 10:24:24 2010  commencing in-memory singleton removal
Tue Apr 13 10:24:36 2010  begin with 47339043 relations and 44545298 unique ideals
Tue Apr 13 10:25:35 2010  reduce to 47316014 relations and 43646392 ideals in 5 passes
Tue Apr 13 10:25:35 2010  max relations containing the same ideal: 117
Tue Apr 13 10:26:27 2010  removing 1273252 relations and 873252 ideals in 400000 cliques
Tue Apr 13 10:26:30 2010  commencing in-memory singleton removal
Tue Apr 13 10:26:42 2010  begin with 46042762 relations and 43646392 unique ideals
Tue Apr 13 10:27:39 2010  reduce to 46018796 relations and 42748945 ideals in 5 passes
Tue Apr 13 10:27:39 2010  max relations containing the same ideal: 117
Tue Apr 13 10:28:29 2010  removing 1271900 relations and 871900 ideals in 400000 cliques
Tue Apr 13 10:28:33 2010  commencing in-memory singleton removal
Tue Apr 13 10:28:44 2010  begin with 44746896 relations and 42748945 unique ideals
Tue Apr 13 10:29:50 2010  reduce to 44721875 relations and 41851744 ideals in 6 passes
Tue Apr 13 10:29:50 2010  max relations containing the same ideal: 115
Tue Apr 13 10:30:39 2010  removing 1269624 relations and 869624 ideals in 400000 cliques
Tue Apr 13 10:30:43 2010  commencing in-memory singleton removal
Tue Apr 13 10:30:53 2010  begin with 43452251 relations and 41851744 unique ideals
Tue Apr 13 10:31:47 2010  reduce to 43426114 relations and 40955660 ideals in 5 passes
Tue Apr 13 10:31:47 2010  max relations containing the same ideal: 114
Tue Apr 13 10:32:35 2010  removing 1270092 relations and 870092 ideals in 400000 cliques
Tue Apr 13 10:32:38 2010  commencing in-memory singleton removal
Tue Apr 13 10:32:49 2010  begin with 42156022 relations and 40955660 unique ideals
Tue Apr 13 10:33:41 2010  reduce to 42128458 relations and 40057703 ideals in 5 passes
Tue Apr 13 10:33:41 2010  max relations containing the same ideal: 112
Tue Apr 13 10:34:27 2010  removing 1271804 relations and 871804 ideals in 400000 cliques
Tue Apr 13 10:34:30 2010  commencing in-memory singleton removal
Tue Apr 13 10:34:40 2010  begin with 40856654 relations and 40057703 unique ideals
Tue Apr 13 10:35:31 2010  reduce to 40827673 relations and 39156565 ideals in 5 passes
Tue Apr 13 10:35:31 2010  max relations containing the same ideal: 109
Tue Apr 13 10:36:16 2010  removing 1274434 relations and 874434 ideals in 400000 cliques
Tue Apr 13 10:36:19 2010  commencing in-memory singleton removal
Tue Apr 13 10:36:29 2010  begin with 39553239 relations and 39156565 unique ideals
Tue Apr 13 10:37:27 2010  reduce to 39522481 relations and 38251026 ideals in 6 passes
Tue Apr 13 10:37:28 2010  max relations containing the same ideal: 109
Tue Apr 13 10:38:11 2010  removing 1282153 relations and 882153 ideals in 400000 cliques
Tue Apr 13 10:38:14 2010  commencing in-memory singleton removal
Tue Apr 13 10:38:23 2010  begin with 38240328 relations and 38251026 unique ideals
Tue Apr 13 10:39:11 2010  reduce to 38208464 relations and 37336626 ideals in 5 passes
Tue Apr 13 10:39:11 2010  max relations containing the same ideal: 105
Tue Apr 13 10:39:53 2010  removing 719869 relations and 521220 ideals in 198649 cliques
Tue Apr 13 10:39:56 2010  commencing in-memory singleton removal
Tue Apr 13 10:40:05 2010  begin with 37488595 relations and 37336626 unique ideals
Tue Apr 13 10:40:51 2010  reduce to 37479730 relations and 36806504 ideals in 5 passes
Tue Apr 13 10:40:51 2010  max relations containing the same ideal: 102
Tue Apr 13 10:41:13 2010  relations with 0 large ideals: 38533
Tue Apr 13 10:41:14 2010  relations with 1 large ideals: 5686
Tue Apr 13 10:41:14 2010  relations with 2 large ideals: 73674
Tue Apr 13 10:41:14 2010  relations with 3 large ideals: 546295
Tue Apr 13 10:41:14 2010  relations with 4 large ideals: 2246974
Tue Apr 13 10:41:14 2010  relations with 5 large ideals: 5625863
Tue Apr 13 10:41:14 2010  relations with 6 large ideals: 8966458
Tue Apr 13 10:41:14 2010  relations with 7+ large ideals: 19976247
Tue Apr 13 10:41:14 2010  commencing 2-way merge
Tue Apr 13 10:42:13 2010  reduce to 27539848 relation sets and 26866622 unique ideals
Tue Apr 13 10:42:14 2010  commencing full merge
Tue Apr 13 10:57:23 2010  memory use: 3316.1 MB
Tue Apr 13 10:57:30 2010  found 14519349 cycles, need 14426822
Tue Apr 13 10:57:40 2010  weight of 14426822 cycles is about 1009931651 (70.00/cycle)
Tue Apr 13 10:57:40 2010  distribution of cycle lengths:
Tue Apr 13 10:57:40 2010  1 relations: 1199720
Tue Apr 13 10:57:40 2010  2 relations: 1647683
Tue Apr 13 10:57:40 2010  3 relations: 1845385
Tue Apr 13 10:57:40 2010  4 relations: 1819756
Tue Apr 13 10:57:40 2010  5 relations: 1708396
Tue Apr 13 10:57:40 2010  6 relations: 1503025
Tue Apr 13 10:57:40 2010  7 relations: 1260559
Tue Apr 13 10:57:41 2010  8 relations: 1005517
Tue Apr 13 10:57:41 2010  9 relations: 768422
Tue Apr 13 10:57:41 2010  10+ relations: 1668359
Tue Apr 13 10:57:41 2010  heaviest cycle: 20 relations
Tue Apr 13 10:57:49 2010  commencing cycle optimization
Tue Apr 13 10:58:28 2010  start with 78002472 relations
Tue Apr 13 11:02:33 2010  pruned 2503866 relations
Tue Apr 13 11:02:35 2010  memory use: 2391.2 MB
Tue Apr 13 11:02:35 2010  distribution of cycle lengths:
Tue Apr 13 11:02:35 2010  1 relations: 1199720
Tue Apr 13 11:02:35 2010  2 relations: 1680713
Tue Apr 13 11:02:35 2010  3 relations: 1914827
Tue Apr 13 11:02:35 2010  4 relations: 1881658
Tue Apr 13 11:02:35 2010  5 relations: 1777341
Tue Apr 13 11:02:35 2010  6 relations: 1548061
Tue Apr 13 11:02:35 2010  7 relations: 1289180
Tue Apr 13 11:02:35 2010  8 relations: 1003104
Tue Apr 13 11:02:35 2010  9 relations: 747615
Tue Apr 13 11:02:35 2010  10+ relations: 1384603
Tue Apr 13 11:02:35 2010  heaviest cycle: 20 relations
Tue Apr 13 11:03:16 2010  RelProcTime: 17525
Tue Apr 13 11:03:26 2010  
Tue Apr 13 11:03:26 2010  commencing linear algebra
Tue Apr 13 11:03:30 2010  read 14426822 cycles
Tue Apr 13 11:04:09 2010  cycles contain 37252494 unique relations
Tue Apr 13 11:13:34 2010  read 37252494 relations
Tue Apr 13 11:15:19 2010  using 20 quadratic characters above 2147478920
Tue Apr 13 11:19:50 2010  building initial matrix
Tue Apr 13 11:34:29 2010  memory use: 4979.3 MB
Tue Apr 13 11:34:43 2010  read 14426822 cycles
Tue Apr 13 11:35:00 2010  matrix is 14426644 x 14426822 (4316.1 MB) with weight 1283591254 (88.97/col)
Tue Apr 13 11:35:00 2010  sparse part has weight 972754808 (67.43/col)
Tue Apr 13 11:40:26 2010  filtering completed in 2 passes
Tue Apr 13 11:40:32 2010  matrix is 14426051 x 14426229 (4316.1 MB) with weight 1283576139 (88.98/col)
Tue Apr 13 11:40:32 2010  sparse part has weight 972751840 (67.43/col)
Tue Apr 13 11:42:54 2010  read 14426229 cycles
Tue Apr 13 11:43:11 2010  matrix is 14426051 x 14426229 (4316.1 MB) with weight 1283576139 (88.98/col)
Tue Apr 13 11:43:11 2010  sparse part has weight 972751840 (67.43/col)
Tue Apr 13 11:43:12 2010  saving the first 48 matrix rows for later
Tue Apr 13 11:43:25 2010  matrix is 14426003 x 14426229 (4130.2 MB) with weight 1022586705 (70.88/col)
Tue Apr 13 11:43:25 2010  sparse part has weight 938440148 (65.05/col)
Tue Apr 13 11:43:25 2010  matrix includes 64 packed rows
Tue Apr 13 11:43:25 2010  using block size 65536 for processor cache size 6144 kB
Tue Apr 13 11:44:52 2010  commencing Lanczos iteration (8 threads)
Tue Apr 13 11:44:52 2010  memory use: 4966.4 MB
Tue Apr 13 11:46:44 2010  linear algebra at 0.0%, ETA 546h53m
Thu Apr 22 12:31:06 2010  lanczos halted after 89205 iterations (dim = 5640574)
Thu Apr 22 12:31:06 2010  BLanczosTime: 782860
Thu Apr 22 12:31:06 2010  
Thu Apr 22 12:31:06 2010  commencing square root phase
Thu Apr 22 12:31:06 2010  reading relations for dependency 1
Thu Apr 22 12:31:06 2010  error: read_cycles can't open dependency file
Thu Apr 22 12:38:18 2010  
Thu Apr 22 12:38:19 2010  
Thu Apr 22 12:38:19 2010  Msieve v. 1.44
Thu Apr 22 12:38:19 2010  random seeds: f0d11aaa 412b13ca
Thu Apr 22 12:38:19 2010  factoring 33222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269103 (248 digits)
Thu Apr 22 12:38:22 2010  no P-1/P+1/ECM available, skipping
Thu Apr 22 12:38:22 2010  commencing number field sieve (248-digit input)
Thu Apr 22 12:38:22 2010  R0: -100000000000000000000000000000000000000000
Thu Apr 22 12:38:22 2010  R1:  1
Thu Apr 22 12:38:22 2010  A0:  3
Thu Apr 22 12:38:22 2010  A1:  0
Thu Apr 22 12:38:22 2010  A2:  0
Thu Apr 22 12:38:22 2010  A3:  0
Thu Apr 22 12:38:22 2010  A4:  0
Thu Apr 22 12:38:22 2010  A5:  0
Thu Apr 22 12:38:22 2010  A6:  10000
Thu Apr 22 12:38:22 2010  skew 0.26, size 2.694593e-12, alpha -1.601825, combined = 2.466062e-13
Thu Apr 22 12:38:22 2010  
Thu Apr 22 12:38:22 2010  commencing linear algebra
Thu Apr 22 12:38:27 2010  read 14426229 cycles
Thu Apr 22 12:39:25 2010  matrix is 14426051 x 14426229 (4316.1 MB) with weight 1283576139 (88.98/col)
Thu Apr 22 12:39:25 2010  sparse part has weight 972751840 (67.43/col)
Thu Apr 22 12:39:26 2010  saving the first 48 matrix rows for later
Thu Apr 22 12:39:40 2010  matrix is 14426003 x 14426229 (4130.2 MB) with weight 1022586705 (70.88/col)
Thu Apr 22 12:39:40 2010  sparse part has weight 938440148 (65.05/col)
Thu Apr 22 12:39:40 2010  matrix includes 64 packed rows
Thu Apr 22 12:39:40 2010  using block size 65536 for processor cache size 6144 kB
Thu Apr 22 12:41:14 2010  commencing Lanczos iteration (8 threads)
Thu Apr 22 12:41:14 2010  memory use: 4966.4 MB
Thu Apr 22 12:41:29 2010  restarting at iteration 89205 (dim = 5640574)
Thu Apr 22 12:44:06 2010  linear algebra at 39.1%, ETA 504h46m
Thu May  6 13:12:14 2010  lanczos halted after 228132 iterations (dim = 14426001)
Thu May  6 13:13:08 2010  recovered 40 nontrivial dependencies
Thu May  6 13:13:10 2010  BLanczosTime: 1211688
Thu May  6 13:13:10 2010  elapsed time 336:34:51
Thu May  6 13:14:34 2010  
Thu May  6 13:14:34 2010  
Thu May  6 13:14:34 2010  Msieve v. 1.44
Thu May  6 13:14:34 2010  random seeds: c952f5c2 2c0374cb
Thu May  6 13:14:34 2010  factoring 33222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269103 (248 digits)
Thu May  6 13:14:37 2010  no P-1/P+1/ECM available, skipping
Thu May  6 13:14:37 2010  commencing number field sieve (248-digit input)
Thu May  6 13:14:37 2010  R0: -100000000000000000000000000000000000000000
Thu May  6 13:14:37 2010  R1:  1
Thu May  6 13:14:37 2010  A0:  3
Thu May  6 13:14:37 2010  A1:  0
Thu May  6 13:14:37 2010  A2:  0
Thu May  6 13:14:37 2010  A3:  0
Thu May  6 13:14:37 2010  A4:  0
Thu May  6 13:14:37 2010  A5:  0
Thu May  6 13:14:37 2010  A6:  10000
Thu May  6 13:14:37 2010  skew 0.26, size 2.694593e-12, alpha -1.601825, combined = 2.466062e-13
Thu May  6 13:14:37 2010  
Thu May  6 13:14:37 2010  commencing square root phase
Thu May  6 13:14:37 2010  reading relations for dependency 1
Thu May  6 13:14:44 2010  read 7213370 cycles
Thu May  6 13:15:03 2010  cycles contain 18624738 unique relations
Thu May  6 13:22:52 2010  read 18624738 relations
Thu May  6 13:25:34 2010  multiplying 18624738 relations
Thu May  6 14:11:13 2010  multiply complete, coefficients have about 705.32 million bits
Thu May  6 14:11:18 2010  warning: no irreducible prime found, switching to small primes
Thu May  6 14:11:19 2010  initial square root is modulo 53
Thu May  6 15:46:26 2010  reading relations for dependency 2
Thu May  6 15:46:33 2010  read 7211085 cycles
Thu May  6 15:46:53 2010  cycles contain 18622184 unique relations
Thu May  6 15:53:51 2010  read 18622184 relations
Thu May  6 15:56:34 2010  multiplying 18622184 relations
Thu May  6 16:42:22 2010  multiply complete, coefficients have about 705.22 million bits
Thu May  6 16:42:28 2010  warning: no irreducible prime found, switching to small primes
Thu May  6 16:42:29 2010  initial square root is modulo 53
Thu May  6 18:17:28 2010  Newton iteration failed to converge
Thu May  6 18:17:28 2010  algebraic square root failed
Thu May  6 18:17:28 2010  reading relations for dependency 3
Thu May  6 18:17:34 2010  read 7211751 cycles
Thu May  6 18:17:54 2010  cycles contain 18622252 unique relations
Thu May  6 18:22:11 2010  read 18622252 relations
Thu May  6 18:24:54 2010  multiplying 18622252 relations
Thu May  6 19:10:44 2010  multiply complete, coefficients have about 705.23 million bits
Thu May  6 19:10:50 2010  warning: no irreducible prime found, switching to small primes
Thu May  6 19:10:51 2010  initial square root is modulo 53
Thu May  6 20:45:50 2010  reading relations for dependency 4
Thu May  6 20:45:53 2010  read 7214465 cycles
Thu May  6 20:46:13 2010  cycles contain 18628496 unique relations
Thu May  6 20:50:34 2010  read 18628496 relations
Thu May  6 20:53:17 2010  multiplying 18628496 relations
Thu May  6 21:39:03 2010  multiply complete, coefficients have about 705.46 million bits
Thu May  6 21:39:09 2010  warning: no irreducible prime found, switching to small primes
Thu May  6 21:39:10 2010  initial square root is modulo 53
Thu May  6 23:14:06 2010  reading relations for dependency 5
Thu May  6 23:14:09 2010  read 7214524 cycles
Thu May  6 23:14:29 2010  cycles contain 18628714 unique relations
Thu May  6 23:18:50 2010  read 18628714 relations
Thu May  6 23:21:32 2010  multiplying 18628714 relations
Fri May  7 00:07:18 2010  multiply complete, coefficients have about 705.47 million bits
Fri May  7 00:07:23 2010  warning: no irreducible prime found, switching to small primes
Fri May  7 00:07:24 2010  initial square root is modulo 53
Fri May  7 01:42:21 2010  Newton iteration failed to converge
Fri May  7 01:42:21 2010  algebraic square root failed
Fri May  7 01:42:21 2010  reading relations for dependency 6
Fri May  7 01:42:24 2010  read 7213127 cycles
Fri May  7 01:42:43 2010  cycles contain 18623888 unique relations
Fri May  7 01:47:04 2010  read 18623888 relations
Fri May  7 01:49:46 2010  multiplying 18623888 relations
Fri May  7 02:35:31 2010  multiply complete, coefficients have about 705.29 million bits
Fri May  7 02:35:36 2010  warning: no irreducible prime found, switching to small primes
Fri May  7 02:35:37 2010  initial square root is modulo 53
Fri May  7 04:10:38 2010  Newton iteration failed to converge
Fri May  7 04:10:38 2010  algebraic square root failed
Fri May  7 04:10:38 2010  reading relations for dependency 7
Fri May  7 04:10:41 2010  read 7212491 cycles
Fri May  7 04:11:00 2010  cycles contain 18630006 unique relations
Fri May  7 04:15:46 2010  read 18630006 relations
Fri May  7 04:18:29 2010  multiplying 18630006 relations
Fri May  7 05:04:19 2010  multiply complete, coefficients have about 705.52 million bits
Fri May  7 05:04:24 2010  warning: no irreducible prime found, switching to small primes
Fri May  7 05:04:25 2010  initial square root is modulo 53
Fri May  7 06:39:28 2010  Newton iteration failed to converge
Fri May  7 06:39:28 2010  algebraic square root failed
Fri May  7 06:39:28 2010  reading relations for dependency 8
Fri May  7 06:39:31 2010  read 7212433 cycles
Fri May  7 06:39:51 2010  cycles contain 18623382 unique relations
Fri May  7 06:44:22 2010  read 18623382 relations
Fri May  7 06:47:04 2010  multiplying 18623382 relations
Fri May  7 07:32:52 2010  multiply complete, coefficients have about 705.26 million bits
Fri May  7 07:32:58 2010  warning: no irreducible prime found, switching to small primes
Fri May  7 07:32:59 2010  initial square root is modulo 53
Fri May  7 09:07:52 2010  Newton iteration failed to converge
Fri May  7 09:07:52 2010  algebraic square root failed
Fri May  7 09:07:52 2010  reading relations for dependency 9
Fri May  7 09:07:55 2010  read 7214109 cycles
Fri May  7 09:08:14 2010  cycles contain 18627778 unique relations
Fri May  7 09:12:42 2010  read 18627778 relations
Fri May  7 09:15:25 2010  multiplying 18627778 relations
Fri May  7 10:01:06 2010  multiply complete, coefficients have about 705.43 million bits
Fri May  7 10:01:12 2010  warning: no irreducible prime found, switching to small primes
Fri May  7 10:01:13 2010  initial square root is modulo 53
Fri May  7 11:36:03 2010  Newton iteration failed to converge
Fri May  7 11:36:04 2010  algebraic square root failed
Fri May  7 11:36:04 2010  reading relations for dependency 10
Fri May  7 11:36:07 2010  read 7208907 cycles
Fri May  7 11:36:26 2010  cycles contain 18619968 unique relations
Fri May  7 11:40:59 2010  read 18619968 relations
Fri May  7 11:43:41 2010  multiplying 18619968 relations
Fri May  7 12:29:37 2010  multiply complete, coefficients have about 705.13 million bits
Fri May  7 12:29:42 2010  warning: no irreducible prime found, switching to small primes
Fri May  7 12:29:43 2010  initial square root is modulo 53
Fri May  7 14:04:48 2010  Newton iteration failed to converge
Fri May  7 14:04:49 2010  algebraic square root failed
Fri May  7 14:04:49 2010  reading relations for dependency 11
Fri May  7 14:04:52 2010  read 7215389 cycles
Fri May  7 14:05:11 2010  cycles contain 18628254 unique relations
Fri May  7 14:10:28 2010  read 18628254 relations
Fri May  7 14:13:11 2010  multiplying 18628254 relations
Fri May  7 14:58:57 2010  multiply complete, coefficients have about 705.45 million bits
Fri May  7 14:59:03 2010  warning: no irreducible prime found, switching to small primes
Fri May  7 14:59:04 2010  initial square root is modulo 53
Fri May  7 16:34:15 2010  Newton iteration failed to converge
Fri May  7 16:34:15 2010  algebraic square root failed
Fri May  7 16:34:15 2010  reading relations for dependency 12
Fri May  7 16:34:23 2010  read 7214977 cycles
Fri May  7 16:34:43 2010  cycles contain 18628850 unique relations
Fri May  7 16:41:21 2010  read 18628850 relations
Fri May  7 16:44:04 2010  multiplying 18628850 relations
Fri May  7 17:29:53 2010  multiply complete, coefficients have about 705.47 million bits
Fri May  7 17:29:59 2010  warning: no irreducible prime found, switching to small primes
Fri May  7 17:30:00 2010  initial square root is modulo 53
Fri May  7 19:04:58 2010  Newton iteration failed to converge
Fri May  7 19:04:59 2010  algebraic square root failed
Fri May  7 19:04:59 2010  reading relations for dependency 13
Fri May  7 19:05:06 2010  read 7214824 cycles
Fri May  7 19:05:26 2010  cycles contain 18629900 unique relations
Fri May  7 19:09:52 2010  read 18629900 relations
Fri May  7 19:12:35 2010  multiplying 18629900 relations
Fri May  7 19:58:28 2010  multiply complete, coefficients have about 705.51 million bits
Fri May  7 19:58:33 2010  warning: no irreducible prime found, switching to small primes
Fri May  7 19:58:34 2010  initial square root is modulo 53
Fri May  7 21:33:39 2010  sqrtTime: 116342
Fri May  7 21:33:39 2010  prp46 factor: 1012809912772949923378144696975861902413702431
Fri May  7 21:33:39 2010  prp52 factor: 1774117486132956141457234973491829250427156975510339
Fri May  7 21:33:39 2010  prp71 factor: 48125349750791910686580777709024796929599190379104252235040093941183527
Fri May  7 21:33:39 2010  prp81 factor: 384192856833907847524586566390613365418318013593453279573413992127914439985524621
Fri May  7 21:33:39 2010  elapsed time 32:19:05
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間)
351e60--
403e61010200Serge BatalovDecember 16, 2008 02:07:18 UTC 2008 年 12 月 16 日 (火) 11 時 7 分 18 秒 (日本時間)
60Serge BatalovDecember 16, 2008 02:10:57 UTC 2008 年 12 月 16 日 (火) 11 時 10 分 57 秒 (日本時間)
750Serge BatalovDecember 19, 2008 06:32:19 UTC 2008 年 12 月 19 日 (金) 15 時 32 分 19 秒 (日本時間)
4511e6228020Serge BatalovDecember 16, 2008 02:07:18 UTC 2008 年 12 月 16 日 (火) 11 時 7 分 18 秒 (日本時間)
60Serge BatalovDecember 19, 2008 06:32:19 UTC 2008 年 12 月 19 日 (金) 15 時 32 分 19 秒 (日本時間)
2200Serge BatalovDecember 30, 2008 22:49:03 UTC 2008 年 12 月 31 日 (水) 7 時 49 分 3 秒 (日本時間)
5043e61010 / 7003yoyo@homeJanuary 14, 2010 02:45:46 UTC 2010 年 1 月 14 日 (木) 11 時 45 分 46 秒 (日本時間)

10251+3

c243

composite cofactor 合成数の残り
680292050193498529150762657389732601073319897519989208391149370494132375621813295193802653711801660907189449519305977479299036051335681669743638947892697072324385345418050383531310451814536522706641788567802303810388564383155966116040775644233<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 06:52:02 UTC 2015 年 12 月 22 日 (火) 15 時 52 分 2 秒 (日本時間)
403e62412Youcef LemsaferDecember 22, 2015 06:52:02 UTC 2015 年 12 月 22 日 (火) 15 時 52 分 2 秒 (日本時間)
4511e620481452Youcef LemsaferDecember 22, 2015 06:52:02 UTC 2015 年 12 月 22 日 (火) 15 時 52 分 2 秒 (日本時間)
512Youcef LemsaferDecember 29, 2015 14:08:17 UTC 2015 年 12 月 29 日 (火) 23 時 8 分 17 秒 (日本時間)
84Youcef LemsaferFebruary 1, 2016 16:13:55 UTC 2016 年 2 月 2 日 (火) 1 時 13 分 55 秒 (日本時間)
5043e6576 / 6997Youcef LemsaferFebruary 3, 2016 13:05:28 UTC 2016 年 2 月 3 日 (水) 22 時 5 分 28 秒 (日本時間)

10252+3

c192

composite cofactor 合成数の残り
514239555084365404905588950833661263142000016878114882572873765637107975728808778034059895710027237538588399806941461153110470784824720258636672550245682202253861895204669202610568949369968467<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 10:08:23 UTC 2015 年 12 月 22 日 (火) 19 時 8 分 23 秒 (日本時間)
403e62200Youcef LemsaferDecember 30, 2015 09:38:44 UTC 2015 年 12 月 30 日 (水) 18 時 38 分 44 秒 (日本時間)
4511e62048512Youcef LemsaferDecember 30, 2015 09:38:44 UTC 2015 年 12 月 30 日 (水) 18 時 38 分 44 秒 (日本時間)
1536Youcef LemsaferFebruary 4, 2016 13:37:05 UTC 2016 年 2 月 4 日 (木) 22 時 37 分 5 秒 (日本時間)
5043e6576 / 7005Youcef LemsaferFebruary 6, 2016 09:44:46 UTC 2016 年 2 月 6 日 (土) 18 時 44 分 46 秒 (日本時間)

10255+3

c198

composite cofactor 合成数の残り
382612167635517375290027116434563796894090795070102782576343347112301857566215186739002493888506400475503665384232360802092069075355673983718305646773231361417492839123133482107532803128769138265849<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 10:10:11 UTC 2015 年 12 月 22 日 (火) 19 時 10 分 11 秒 (日本時間)
403e62200Youcef LemsaferDecember 30, 2015 09:41:10 UTC 2015 年 12 月 30 日 (水) 18 時 41 分 10 秒 (日本時間)
4511e62048512Youcef LemsaferDecember 30, 2015 22:04:13 UTC 2015 年 12 月 31 日 (木) 7 時 4 分 13 秒 (日本時間)
1536Youcef LemsaferFebruary 7, 2016 12:40:03 UTC 2016 年 2 月 7 日 (日) 21 時 40 分 3 秒 (日本時間)
5043e6768 / 7005Youcef LemsaferFebruary 8, 2016 09:36:18 UTC 2016 年 2 月 8 日 (月) 18 時 36 分 18 秒 (日本時間)

10256+3

c241

name 名前Youcef Lemsafer
date 日付December 22, 2015 10:14:58 UTC 2015 年 12 月 22 日 (火) 19 時 14 分 58 秒 (日本時間)
composite number 合成数
3618136321346901929756430720503423701662345891768041737311868442005837242543976848620948349142099049549794156224149041144327763520588570510183921749779649076746245951793014108373920624606064619237158747404696160424071727222481588169679731779<241>
prime factors 素因数
643447302419858875572567213797395987<36>
5623049949451827059943450818634076603012266779725640933452028883416080829651857497824466143747445900901257205285418534645844788320104752869642739922070566069771185629094574183607489927842362720727452000017<205>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^256+3)/(7*157*9181*273922303) (241 digits)
[Mon Dec 21 18:58:35 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=2419869898
dF=4096, k=6, d=39270, d2=13, i0=13
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
910     8615    97096   1281819 1.9e+007        3.1e+008        6.2e+009        1.7e+011        2.3e+016        3.1e+021
Step 1 took 8688ms
Using 29 small primes for NTT
Estimated memory usage: 19M
Initializing tables of differences for F took 31ms
Computing roots of F took 188ms
Building F from its roots took 218ms
Computing 1/F took 157ms
Initializing table of differences for G took 15ms
Computing roots of G took 125ms
Building G from its roots took 250ms
Computing roots of G took 141ms
Building G from its roots took 250ms
Computing G * H took 62ms
Reducing  G * H mod F took 94ms
Computing roots of G took 125ms
Building G from its roots took 250ms
Computing G * H took 63ms
Reducing  G * H mod F took 93ms
Computing roots of G took 125ms
Building G from its roots took 250ms
Computing G * H took 63ms
Reducing  G * H mod F took 78ms
Computing roots of G took 141ms
Building G from its roots took 281ms
Computing G * H took 78ms
Reducing  G * H mod F took 78ms
Computing roots of G took 156ms
Building G from its roots took 250ms
Computing G * H took 78ms
Reducing  G * H mod F took 94ms
Computing polyeval(F,G) took 469ms
Computing product of all F(g_i) took 0ms
Step 2 took 4219ms
********** Factor found in step 2: 643447302419858875572567213797395987
Found probable prime factor of 36 digits: 643447302419858875572567213797395987
Probable prime cofactor ((10^256+3)/(7*157*9181*273922303))/643447302419858875572567213797395987 has 205 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6737 / 825Youcef LemsaferDecember 22, 2015 10:11:46 UTC 2015 年 12 月 22 日 (火) 19 時 11 分 46 秒 (日本時間)

10257+3

c246

composite cofactor 合成数の残り
105249127522525431852139571518838755818770085738503643266564862142342784264235540604009430093060724660833574049071600882034195702236262368654705353173232155359493339066317609685601367856541994433373605338961450780673958555581027586522954157909727<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 10:15:58 UTC 2015 年 12 月 22 日 (火) 19 時 15 分 58 秒 (日本時間)
403e62200Youcef LemsaferDecember 31, 2015 11:15:41 UTC 2015 年 12 月 31 日 (木) 20 時 15 分 41 秒 (日本時間)
4511e62048512Youcef LemsaferJanuary 1, 2016 09:55:28 UTC 2016 年 1 月 1 日 (金) 18 時 55 分 28 秒 (日本時間)
1536Youcef LemsaferFebruary 13, 2016 14:41:07 UTC 2016 年 2 月 13 日 (土) 23 時 41 分 7 秒 (日本時間)
5043e6576 / 7005Youcef LemsaferFebruary 13, 2016 14:41:07 UTC 2016 年 2 月 13 日 (土) 23 時 41 分 7 秒 (日本時間)

10258+3

c215

name 名前Youcef Lemsafer
date 日付February 14, 2016 08:22:32 UTC 2016 年 2 月 14 日 (日) 17 時 22 分 32 秒 (日本時間)
composite number 合成数
24003574441911777229899263746455221930645486071006830835240079065919352002759897015127791699045969748637080934707933135849994724755974826641444056405382069969665544265302845116455818851479861689854775356987824642973<215>
prime factors 素因数
1183339045082885556179932515298411150825468742839<49>
20284612885591445864090786380506126099278106029180177481441728621668554107644537153398708903682941558636750339098828897978046124483776561468345506156151912943438392907<167>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^258+3)/(151*1407252774691*196053689892084338357335001971) (215 digits)
[Sun Feb 14 03:14:50 2016]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4013136904
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 133428ms
Using 26 small primes for NTT
Estimated memory usage: 144M
Initializing tables of differences for F took 141ms
Computing roots of F took 3650ms
Building F from its roots took 3338ms
Computing 1/F took 1528ms
Initializing table of differences for G took 94ms
Computing roots of G took 2933ms
Building G from its roots took 3759ms
Computing roots of G took 2964ms
Building G from its roots took 3760ms
Computing G * H took 764ms
Reducing  G * H mod F took 889ms
Computing roots of G took 2886ms
Building G from its roots took 3713ms
Computing G * H took 780ms
Reducing  G * H mod F took 873ms
Computing polyeval(F,G) took 6474ms
Computing product of all F(g_i) took 32ms
Step 2 took 38750ms
********** Factor found in step 2: 1183339045082885556179932515298411150825468742839
Found probable prime factor of 49 digits: 1183339045082885556179932515298411150825468742839
Probable prime cofactor ((10^258+3)/(151*1407252774691*196053689892084338357335001971))/1183339045082885556179932515298411150825468742839 has 167 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 10:16:44 UTC 2015 年 12 月 22 日 (火) 19 時 16 分 44 秒 (日本時間)
403e62200Youcef LemsaferJanuary 1, 2016 09:56:56 UTC 2016 年 1 月 1 日 (金) 18 時 56 分 56 秒 (日本時間)
4511e62048 / 3948512Youcef LemsaferJanuary 1, 2016 09:56:56 UTC 2016 年 1 月 1 日 (金) 18 時 56 分 56 秒 (日本時間)
1536Youcef LemsaferFebruary 14, 2016 08:20:48 UTC 2016 年 2 月 14 日 (日) 17 時 20 分 48 秒 (日本時間)

10259+3

c257

name 名前Dmitry Domanov
date 日付October 29, 2015 13:11:05 UTC 2015 年 10 月 29 日 (木) 22 時 11 分 5 秒 (日本時間)
composite number 合成数
45248868778280542986425339366515837104072398190045248868778280542986425339366515837104072398190045248868778280542986425339366515837104072398190045248868778280542986425339366515837104072398190045248868778280542986425339366515837104072398190045248868778280543<257>
prime factors 素因数
7764826514902953002768120527781<31>
21906548257883318866971762521107<32>
321207791952386166404336509458436697<36>
composite cofactor 合成数の残り
828163231133673236346825594963792275545427350340522915540003003624132756920651935001214789998928390364771803186658583421552850340478985336906625864097220006857<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=735754472
Step 1 took 55859ms
Step 2 took 17334ms
********** Factor found in step 2: 7764826514902953002768120527781
Found probable prime factor of 31 digits: 7764826514902953002768120527781

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=61034328
Step 1 took 38936ms
Step 2 took 11101ms
********** Factor found in step 2: 321207791952386166404336509458436697
Found probable prime factor of 36 digits: 321207791952386166404336509458436697

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3659521199
Step 1 took 30488ms
Step 2 took 11385ms
********** Factor found in step 2: 21906548257883318866971762521107
Found probable prime factor of 32 digits: 21906548257883318866971762521107

c159

name 名前Youcef Lemsafer
date 日付December 22, 2015 13:05:51 UTC 2015 年 12 月 22 日 (火) 22 時 5 分 51 秒 (日本時間)
composite number 合成数
828163231133673236346825594963792275545427350340522915540003003624132756920651935001214789998928390364771803186658583421552850340478985336906625864097220006857<159>
prime factors 素因数
14261310922242533259898935119175189199<38>
1146259849470101303306954506546214501099<40>
50660960082597830822667625660349574999084364894672383447343618772783848931297683957<83>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^259+3)/(13*17*7764826514902953002768120527781*21906548257883318866971762521107*321207791952386166404336509458436697) (159 digits)
[Tue Dec 22 00:23:39 2015]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=11000000, B2=11000000-35133391030, polynomial Dickson(12), sigma=4097678365
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 56547ms
Using 20 small primes for NTT
Estimated memory usage: 113M
Initializing tables of differences for F took 47ms
Computing roots of F took 1828ms
Building F from its roots took 1937ms
Computing 1/F took 844ms
Initializing table of differences for G took 47ms
Computing roots of G took 1515ms
Building G from its roots took 2188ms
Computing roots of G took 1688ms
Building G from its roots took 2109ms
Computing G * H took 485ms
Reducing  G * H mod F took 547ms
Computing roots of G took 1546ms
Building G from its roots took 2094ms
Computing G * H took 484ms
Reducing  G * H mod F took 531ms
Computing polyeval(F,G) took 3610ms
Computing product of all F(g_i) took 15ms
Step 2 took 21688ms
********** Factor found in step 2: 1146259849470101303306954506546214501099
Found probable prime factor of 40 digits: 1146259849470101303306954506546214501099
Composite cofactor ((10^259+3)/(13*17*7764826514902953002768120527781*21906548257883318866971762521107*321207791952386166404336509458436697))/1146259849470101303306954506546214501099 has 120 digits
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^259+3)/(13*17*7764826514902953002768120527781*21906548257883318866971762521107*321207791952386166404336509458436697*1146259849470101303306954506546214501099) (120 digits)
[Tue Dec 22 13:40:21 2015]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=20000000, B2=20000000-70272304840, polynomial Dickson(12), sigma=871191811
dF=32768, k=6, d=324870, d2=11, i0=51
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
85      434     2577    17294   129874  1085294 9846090 9.6e+007        1.1e+009        1.2e+010
Step 1 took 95332ms
Using 16 small primes for NTT
Estimated memory usage: 91M
Initializing tables of differences for F took 46ms
Computing roots of F took 2013ms
Building F from its roots took 1888ms
Computing 1/F took 796ms
Initializing table of differences for G took 62ms
Computing roots of G took 1638ms
Building G from its roots took 2012ms
Computing roots of G took 1685ms
Building G from its roots took 1981ms
Computing G * H took 453ms
Reducing  G * H mod F took 405ms
Computing roots of G took 1716ms
Building G from its roots took 1997ms
Computing G * H took 468ms
Reducing  G * H mod F took 484ms
Computing roots of G took 1653ms
Building G from its roots took 1919ms
Computing G * H took 452ms
Reducing  G * H mod F took 468ms
Computing roots of G took 1654ms
Building G from its roots took 1918ms
Computing G * H took 421ms
Reducing  G * H mod F took 468ms
Computing roots of G took 1732ms
Building G from its roots took 2043ms
Computing G * H took 437ms
Reducing  G * H mod F took 483ms
Computing polyeval(F,G) took 3479ms
Computing product of all F(g_i) took 31ms
Step 2 took 34991ms
********** Factor found in step 2: 14261310922242533259898935119175189199
Found probable prime factor of 38 digits: 14261310922242533259898935119175189199
Probable prime cofactor ((10^259+3)/(13*17*7764826514902953002768120527781*21906548257883318866971762521107*321207791952386166404336509458436697*1146259849470101303306954506546214501099))/14261310922242533259898935119175189199 has 83 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovOctober 29, 2015 07:32:46 UTC 2015 年 10 月 29 日 (木) 16 時 32 分 46 秒 (日本時間)
2350Ignacio SantosNovember 5, 2015 15:57:39 UTC 2015 年 11 月 6 日 (金) 0 時 57 分 39 秒 (日本時間)
4511e6256 / 3827Youcef LemsaferDecember 22, 2015 13:04:40 UTC 2015 年 12 月 22 日 (火) 22 時 4 分 40 秒 (日本時間)

10260+3

c215

composite cofactor 合成数の残り
65363339849303342463720406100482891401084001021088758236509656143928870206225819876801508459822105676794057134571420728722800912398559895793523200146858505364998457098826169349329660311675376310164694180320986669339<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 10:19:58 UTC 2015 年 12 月 22 日 (火) 19 時 19 分 58 秒 (日本時間)
403e62200Youcef LemsaferJanuary 2, 2016 12:35:53 UTC 2016 年 1 月 2 日 (土) 21 時 35 分 53 秒 (日本時間)
4511e62048512Youcef LemsaferJanuary 2, 2016 12:35:53 UTC 2016 年 1 月 2 日 (土) 21 時 35 分 53 秒 (日本時間)
1536Youcef LemsaferFebruary 16, 2016 10:08:35 UTC 2016 年 2 月 16 日 (火) 19 時 8 分 35 秒 (日本時間)
5043e6576 / 7005Youcef LemsaferFebruary 18, 2016 06:40:57 UTC 2016 年 2 月 18 日 (木) 15 時 40 分 57 秒 (日本時間)

10261+3

c247

name 名前Youcef Lemsafer
date 日付December 22, 2015 10:23:38 UTC 2015 年 12 月 22 日 (火) 19 時 23 分 38 秒 (日本時間)
composite number 合成数
5094970582436136438930249012840363118149047067973665400589615690935513009254536458735839191606034030362562031151846336485782486869260392010790598476110072927231207392561858952354274790345291652669494751983679543513278513516365227630194998730721147<247>
prime factors 素因数
167717353163258367596380103026684987<36>
30378314982568454467245658543887935652763280013888567981728194223400079166345223093112013205669024099978419479466016843441669411886785799026582868179580926257220667235773265935576926908840479840092310418455135681<212>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^261+3)/(196271987015449) (247 digits)
[Tue Dec 22 05:02:37 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=996451449
dF=4096, k=6, d=39270, d2=13, i0=13
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
910     8615    97096   1281819 1.9e+007        3.1e+008        6.2e+009        1.7e+011        2.3e+016        3.1e+021
Step 1 took 8281ms
Using 29 small primes for NTT
Estimated memory usage: 19M
Initializing tables of differences for F took 32ms
Computing roots of F took 156ms
Building F from its roots took 219ms
Computing 1/F took 140ms
Initializing table of differences for G took 16ms
Computing roots of G took 141ms
Building G from its roots took 250ms
Computing roots of G took 140ms
Building G from its roots took 250ms
Computing G * H took 78ms
Reducing  G * H mod F took 94ms
Computing roots of G took 125ms
Building G from its roots took 250ms
Computing G * H took 78ms
Reducing  G * H mod F took 78ms
Computing roots of G took 141ms
Building G from its roots took 250ms
Computing G * H took 62ms
Reducing  G * H mod F took 94ms
Computing roots of G took 125ms
Building G from its roots took 250ms
Computing G * H took 63ms
Reducing  G * H mod F took 94ms
Computing roots of G took 140ms
Building G from its roots took 235ms
Computing G * H took 62ms
Reducing  G * H mod F took 94ms
Computing polyeval(F,G) took 469ms
Computing product of all F(g_i) took 0ms
Step 2 took 4157ms
********** Factor found in step 2: 167717353163258367596380103026684987
Found probable prime factor of 36 digits: 167717353163258367596380103026684987
Probable prime cofactor ((10^261+3)/(196271987015449))/167717353163258367596380103026684987 has 212 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6724 / 825Youcef LemsaferDecember 22, 2015 10:21:34 UTC 2015 年 12 月 22 日 (火) 19 時 21 分 34 秒 (日本時間)

10262+3

c245

composite cofactor 合成数の残り
29901290399242464988453388113743059137797175105393599721089200206112929051904076877949844442838760371993437367818642629304836804014799846768364632685175226519837533664506260496101149428579141672657512613660459658658525163992568182169764886897437<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 10:24:46 UTC 2015 年 12 月 22 日 (火) 19 時 24 分 46 秒 (日本時間)
403e62200Youcef LemsaferJanuary 3, 2016 14:49:10 UTC 2016 年 1 月 3 日 (日) 23 時 49 分 10 秒 (日本時間)
4511e62048512Youcef LemsaferJanuary 3, 2016 14:49:10 UTC 2016 年 1 月 3 日 (日) 23 時 49 分 10 秒 (日本時間)
1536Youcef LemsaferFebruary 18, 2016 06:42:58 UTC 2016 年 2 月 18 日 (木) 15 時 42 分 58 秒 (日本時間)
5043e6576 / 7005Youcef LemsaferFebruary 18, 2016 10:24:59 UTC 2016 年 2 月 18 日 (木) 19 時 24 分 59 秒 (日本時間)

10263+3

c260

name 名前Dmitry Domanov
date 日付October 29, 2015 13:41:36 UTC 2015 年 10 月 29 日 (木) 22 時 41 分 36 秒 (日本時間)
composite number 合成数
35473572188719404043987229514012061014544164597374955658034764100744945015963107484923731819794253281305427456544874068818730046115643845335225257183398368215679318907413976587442355445193330968428520752039730400851365732529265697055693508336289464349059950337<260>
prime factors 素因数
368553932609751438291089707530126287<36>
composite cofactor 合成数の残り
96250695081528540798495911429413275464463572375908501379360582490526984056497185020345586534745619997115135798286073022422784359138089694463053621682763830372012643360167832551100621487323807317657952066150171524129420463151<224>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=278783046
Step 1 took 46468ms
Step 2 took 14153ms
********** Factor found in step 2: 368553932609751438291089707530126287
Found probable prime factor of 36 digits: 368553932609751438291089707530126287

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovOctober 29, 2015 07:34:15 UTC 2015 年 10 月 29 日 (木) 16 時 34 分 15 秒 (日本時間)
1800Youcef LemsaferJanuary 3, 2016 14:51:04 UTC 2016 年 1 月 3 日 (日) 23 時 51 分 4 秒 (日本時間)
4511e63584512Youcef LemsaferJanuary 4, 2016 09:43:24 UTC 2016 年 1 月 4 日 (月) 18 時 43 分 24 秒 (日本時間)
3072Youcef LemsaferFebruary 19, 2016 09:31:49 UTC 2016 年 2 月 19 日 (金) 18 時 31 分 49 秒 (日本時間)
5043e6576 / 6658Youcef LemsaferFebruary 19, 2016 09:31:49 UTC 2016 年 2 月 19 日 (金) 18 時 31 分 49 秒 (日本時間)

10264+3

c215

composite cofactor 合成数の残り
53823815146420193429492956206188293231065460732472487532720316355399921301470114588743301019982588170441499003511982083102950985407335657503309067868866901982663397905077258654215238025733548505631970939102352989913<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 10:26:23 UTC 2015 年 12 月 22 日 (火) 19 時 26 分 23 秒 (日本時間)
403e62200Youcef LemsaferJanuary 4, 2016 09:44:39 UTC 2016 年 1 月 4 日 (月) 18 時 44 分 39 秒 (日本時間)
4511e63584512Youcef LemsaferJanuary 4, 2016 09:44:39 UTC 2016 年 1 月 4 日 (月) 18 時 44 分 39 秒 (日本時間)
3072Youcef LemsaferFebruary 20, 2016 15:42:13 UTC 2016 年 2 月 21 日 (日) 0 時 42 分 13 秒 (日本時間)
5043e6576 / 6660Youcef LemsaferFebruary 20, 2016 15:42:13 UTC 2016 年 2 月 21 日 (日) 0 時 42 分 13 秒 (日本時間)

10265+3

c235

composite cofactor 合成数の残り
8746694492836249042478581618139792523590196230920013318159083219376366890914990439149629834105154094212983198571023606511830842145892856511623150733292762902292973699496945793986953325162306979472473638045791813102207120482456353900227<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 13:12:19 UTC 2015 年 12 月 22 日 (火) 22 時 12 分 19 秒 (日本時間)
403e62200Youcef LemsaferJanuary 5, 2016 06:59:41 UTC 2016 年 1 月 5 日 (火) 15 時 59 分 41 秒 (日本時間)
4511e62048512Youcef LemsaferJanuary 5, 2016 09:35:49 UTC 2016 年 1 月 5 日 (火) 18 時 35 分 49 秒 (日本時間)
1536Youcef LemsaferFebruary 21, 2016 07:59:20 UTC 2016 年 2 月 21 日 (日) 16 時 59 分 20 秒 (日本時間)
5043e6576 / 7005Youcef LemsaferFebruary 21, 2016 07:59:20 UTC 2016 年 2 月 21 日 (日) 16 時 59 分 20 秒 (日本時間)

10266+3

c205

composite cofactor 合成数の残り
7097629713205031521936850405701562584907884413898496940200273220009978430794037829566563804552975255103713678079101444553802348438150429117394130485112038131037288903715837942430693879451664344581556976141<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 13:12:58 UTC 2015 年 12 月 22 日 (火) 22 時 12 分 58 秒 (日本時間)
403e62200Youcef LemsaferJanuary 5, 2016 18:35:24 UTC 2016 年 1 月 6 日 (水) 3 時 35 分 24 秒 (日本時間)
4511e62048512Youcef LemsaferJanuary 6, 2016 09:41:47 UTC 2016 年 1 月 6 日 (水) 18 時 41 分 47 秒 (日本時間)
1536Youcef LemsaferFebruary 21, 2016 15:50:14 UTC 2016 年 2 月 22 日 (月) 0 時 50 分 14 秒 (日本時間)
5043e6576 / 7005Youcef LemsaferFebruary 21, 2016 15:50:14 UTC 2016 年 2 月 22 日 (月) 0 時 50 分 14 秒 (日本時間)

10267+3

c218

composite cofactor 合成数の残り
11965727047690023614453157389527754130489194792364798581486070357064177950566125249326305625495061146158433828116772981779957628310167803353246069651481986016664397399819478916957400057051958873005227428397351720475859<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 13:46:15 UTC 2015 年 12 月 22 日 (火) 22 時 46 分 15 秒 (日本時間)
403e62200Youcef LemsaferJanuary 6, 2016 16:06:54 UTC 2016 年 1 月 7 日 (木) 1 時 6 分 54 秒 (日本時間)
4511e62048512Youcef LemsaferJanuary 7, 2016 13:23:32 UTC 2016 年 1 月 7 日 (木) 22 時 23 分 32 秒 (日本時間)
1536Youcef LemsaferFebruary 26, 2016 07:20:50 UTC 2016 年 2 月 26 日 (金) 16 時 20 分 50 秒 (日本時間)
5043e6576 / 7005Youcef LemsaferFebruary 26, 2016 07:20:50 UTC 2016 年 2 月 26 日 (金) 16 時 20 分 50 秒 (日本時間)

10268+3

c245

name 名前Youcef Lemsafer
date 日付December 22, 2015 18:11:38 UTC 2015 年 12 月 23 日 (水) 3 時 11 分 38 秒 (日本時間)
composite number 合成数
62696701503310761224217824788494962126956615718923812189694752670085274122349937812438621581062642234087471956253837236235331985814495165943727321340750787742895727438199071130165806163401318569599185698677442945303993088326994266815381056924461<245>
prime factors 素因数
1790466326884582177035362116213<31>
composite cofactor 合成数の残り
35016967681488456945908430819789040347690108270663677586163442864612104036809666073338058513785257827609554423198025858173411962056017129205404024744554168862327991294989879158566951590047916857810213110711284948697<215>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^268+3)/(7*4153*4643407*1181567628559) (245 digits)
[Tue Dec 22 14:54:37 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=3278550941
dF=4096, k=6, d=39270, d2=13, i0=13
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
910     8615    97096   1281819 1.9e+007        3.1e+008        6.2e+009        1.7e+011        2.3e+016        3.1e+021
Step 1 took 7750ms
********** Factor found in step 1: 1790466326884582177035362116213
Found probable prime factor of 31 digits: 1790466326884582177035362116213
Composite cofactor ((10^268+3)/(7*4153*4643407*1181567628559))/1790466326884582177035362116213 has 215 digits

c215

name 名前Youcef Lemsafer
date 日付January 7, 2016 13:30:10 UTC 2016 年 1 月 7 日 (木) 22 時 30 分 10 秒 (日本時間)
composite number 合成数
35016967681488456945908430819789040347690108270663677586163442864612104036809666073338058513785257827609554423198025858173411962056017129205404024744554168862327991294989879158566951590047916857810213110711284948697<215>
prime factors 素因数
9607642090159879471182430976883576328471<40>
composite cofactor 合成数の残り
3644699433313896930135466684894377315503769685185614093760585322374277051190372421812586268241640486193706790712202253306243326955154023756008659922707696831528381607640491407<175>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^268+3)/(7*4153*4643407*1181567628559*1790466326884582177035362116213) (215 digits)
[Thu Jan 07 04:10:19 2016]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=3000000, B2=3000000-5706890290, polynomial Dickson(6), sigma=3935785743
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+007        3.9e+008        6e+009  1.1e+011        7.4e+015
Step 1 took 27422ms
Using 26 small primes for NTT
Estimated memory usage: 71M
Initializing tables of differences for F took 32ms
Computing roots of F took 765ms
Building F from its roots took 1281ms
Computing 1/F took 609ms
Initializing table of differences for G took 16ms
Computing roots of G took 781ms
Building G from its roots took 1469ms
Computing roots of G took 609ms
Building G from its roots took 1500ms
Computing G * H took 312ms
Reducing  G * H mod F took 328ms
Computing polyeval(F,G) took 2360ms
Computing product of all F(g_i) took 15ms
Step 2 took 10172ms
********** Factor found in step 2: 9607642090159879471182430976883576328471
Found probable prime factor of 40 digits: 9607642090159879471182430976883576328471
Composite cofactor ((10^268+3)/(7*4153*4643407*1181567628559*1790466326884582177035362116213))/9607642090159879471182430976883576328471 has 175 digits

c175

name 名前Youcef Lemsafer
date 日付January 11, 2016 00:49:16 UTC 2016 年 1 月 11 日 (月) 9 時 49 分 16 秒 (日本時間)
composite number 合成数
3644699433313896930135466684894377315503769685185614093760585322374277051190372421812586268241640486193706790712202253306243326955154023756008659922707696831528381607640491407<175>
prime factors 素因数
1609764397387958423012122815642347053837531<43>
96265821846864660402904255828317866513841670681043173<53>
23519456324339921291692311238729141068837460081913157668731176914898962635659289<80>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Input number is (10^268+3)/(7*4153*4643407*1181567628559*1790466326884582177035362116213*9607642090159879471182430976883576328471) (175 digits)
[Sun Jan 10 05:24:25 2016]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=43000000-240490660426, polynomial Dickson(12), sigma=1679508834
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Step 1 took 244984ms
Using 22 small primes for NTT
Estimated memory usage: 252M
Initializing tables of differences for F took 64ms
Computing roots of F took 3940ms
Building F from its roots took 3196ms
Computing 1/F took 1368ms
Initializing table of differences for G took 76ms
Computing roots of G took 3140ms
Building G from its roots took 3592ms
Computing roots of G took 3196ms
Building G from its roots took 3592ms
Computing G * H took 700ms
Reducing  G * H mod F took 736ms
Computing roots of G took 3308ms
Building G from its roots took 3540ms
Computing G * H took 700ms
Reducing  G * H mod F took 760ms
Computing roots of G took 3264ms
Building G from its roots took 3468ms
Computing G * H took 692ms
Reducing  G * H mod F took 756ms
Computing roots of G took 3152ms
Building G from its roots took 3496ms
Computing G * H took 684ms
Reducing  G * H mod F took 768ms
Computing polyeval(F,G) took 6440ms
Computing product of all F(g_i) took 40ms
Step 2 took 54920ms
********** Factor found in step 2: 1609764397387958423012122815642347053837531
Found probable prime factor of 43 digits: 1609764397387958423012122815642347053837531
Composite cofactor ((10^268+3)/(7*4153*4643407*1181567628559*1790466326884582177035362116213*9607642090159879471182430976883576328471))/1609764397387958423012122815642347053837531 has 133 digits



Sun Jan 10 09:37:00 2016  
Sun Jan 10 09:37:00 2016  
Sun Jan 10 09:37:00 2016  Msieve v. 1.53 (SVN 991)
Sun Jan 10 09:37:00 2016  random seeds: 806935fc ecd8e554
Sun Jan 10 09:37:00 2016  factoring 2264119792454021199193207037744357982347641036712652070772721905346021050938668014451353952558566140536827219679185098570475127483997 (133 digits)
Sun Jan 10 09:37:00 2016  no P-1/P+1/ECM available, skipping
Sun Jan 10 09:37:00 2016  commencing number field sieve (133-digit input)
Sun Jan 10 09:37:00 2016  commencing number field sieve polynomial selection
Sun Jan 10 09:37:00 2016  polynomial degree: 5
Sun Jan 10 09:37:00 2016  max stage 1 norm: 1.27e+20
Sun Jan 10 09:37:00 2016  max stage 2 norm: 2.80e+18
Sun Jan 10 09:37:00 2016  min E-value: 4.31e-11
Sun Jan 10 09:37:00 2016  poly select deadline: 76812
Sun Jan 10 09:37:00 2016  time limit set to 21.34 CPU-hours
Sun Jan 10 09:37:00 2016  expecting poly E from 5.20e-11 to > 5.98e-11
Sun Jan 10 09:37:00 2016  searching leading coefficients from 20000 to 200000
Sun Jan 10 12:44:11 2016  polynomial selection complete
Sun Jan 10 12:44:11 2016  R0: -40697367478304436637087837
Sun Jan 10 12:44:11 2016  R1: 34957492213217
Sun Jan 10 12:44:11 2016  A0: -251330472666678608145616817333760
Sun Jan 10 12:44:11 2016  A1: -2048320370508089696255788304
Sun Jan 10 12:44:11 2016  A2: 3371153291312272633210
Sun Jan 10 12:44:11 2016  A3: -15592330013671673
Sun Jan 10 12:44:11 2016  A4: -7487710872
Sun Jan 10 12:44:11 2016  A5: 20280
Sun Jan 10 12:44:11 2016  skew 652296.04, size 7.943e-13, alpha -6.894, combined = 5.380e-11 rroots = 3
Sun Jan 10 12:44:11 2016  elapsed time 03:07:11

<Sieved algebraic special q from 5e6 to 13e6 using gnfs-lasieve4I13e took ~130 thread.hour>

Mon Jan 11 00:37:39 2016  
Mon Jan 11 00:37:39 2016  
Mon Jan 11 00:37:39 2016  Msieve v. 1.53 (SVN 991)
Mon Jan 11 00:37:39 2016  random seeds: 844f20d0 7e61aa52
Mon Jan 11 00:37:39 2016  factoring 2264119792454021199193207037744357982347641036712652070772721905346021050938668014451353952558566140536827219679185098570475127483997 (133 digits)
Mon Jan 11 00:37:40 2016  no P-1/P+1/ECM available, skipping
Mon Jan 11 00:37:40 2016  commencing number field sieve (133-digit input)
Mon Jan 11 00:37:40 2016  R0: -40697367478304436637087837
Mon Jan 11 00:37:40 2016  R1: 34957492213217
Mon Jan 11 00:37:40 2016  A0: -251330472666678608145616817333760
Mon Jan 11 00:37:40 2016  A1: -2048320370508089696255788304
Mon Jan 11 00:37:40 2016  A2: 3371153291312272633210
Mon Jan 11 00:37:40 2016  A3: -15592330013671673
Mon Jan 11 00:37:40 2016  A4: -7487710872
Mon Jan 11 00:37:40 2016  A5: 20280
Mon Jan 11 00:37:40 2016  skew 652296.04, size 7.943e-13, alpha -6.894, combined = 5.380e-11 rroots = 3
Mon Jan 11 00:37:40 2016  
Mon Jan 11 00:37:40 2016  commencing relation filtering
Mon Jan 11 00:37:40 2016  setting target matrix density to 100.0
Mon Jan 11 00:37:40 2016  estimated available RAM is 64456.1 MB
Mon Jan 11 00:37:40 2016  commencing duplicate removal, pass 1
Mon Jan 11 00:40:38 2016  found 3099657 hash collisions in 24272375 relations
Mon Jan 11 00:41:00 2016  added 121939 free relations
Mon Jan 11 00:41:00 2016  commencing duplicate removal, pass 2
Mon Jan 11 00:41:19 2016  found 2549227 duplicates and 21845087 unique relations
Mon Jan 11 00:41:19 2016  memory use: 98.6 MB
Mon Jan 11 00:41:19 2016  reading ideals above 720000
Mon Jan 11 00:41:19 2016  commencing singleton removal, initial pass
Mon Jan 11 00:44:07 2016  memory use: 689.0 MB
Mon Jan 11 00:44:07 2016  reading all ideals from disk
Mon Jan 11 00:44:07 2016  memory use: 684.6 MB
Mon Jan 11 00:44:08 2016  keeping 22315583 ideals with weight <= 200, target excess is 127550
Mon Jan 11 00:44:09 2016  commencing in-memory singleton removal
Mon Jan 11 00:44:11 2016  begin with 21845087 relations and 22315583 unique ideals
Mon Jan 11 00:44:22 2016  reduce to 10527694 relations and 9300419 ideals in 16 passes
Mon Jan 11 00:44:22 2016  max relations containing the same ideal: 123
Mon Jan 11 00:44:26 2016  removing 2189057 relations and 1789057 ideals in 400000 cliques
Mon Jan 11 00:44:26 2016  commencing in-memory singleton removal
Mon Jan 11 00:44:26 2016  begin with 8338637 relations and 9300419 unique ideals
Mon Jan 11 00:44:30 2016  reduce to 7974111 relations and 7129251 ideals in 9 passes
Mon Jan 11 00:44:30 2016  max relations containing the same ideal: 100
Mon Jan 11 00:44:33 2016  removing 1687294 relations and 1287295 ideals in 400000 cliques
Mon Jan 11 00:44:33 2016  commencing in-memory singleton removal
Mon Jan 11 00:44:34 2016  begin with 6286817 relations and 7129251 unique ideals
Mon Jan 11 00:44:37 2016  reduce to 6004478 relations and 5545046 ideals in 10 passes
Mon Jan 11 00:44:37 2016  max relations containing the same ideal: 84
Mon Jan 11 00:44:39 2016  removing 1284021 relations and 972548 ideals in 311473 cliques
Mon Jan 11 00:44:39 2016  commencing in-memory singleton removal
Mon Jan 11 00:44:39 2016  begin with 4720457 relations and 5545046 unique ideals
Mon Jan 11 00:44:41 2016  reduce to 4510207 relations and 4351905 ideals in 9 passes
Mon Jan 11 00:44:41 2016  max relations containing the same ideal: 69
Mon Jan 11 00:44:43 2016  removing 85953 relations and 75610 ideals in 10343 cliques
Mon Jan 11 00:44:43 2016  commencing in-memory singleton removal
Mon Jan 11 00:44:43 2016  begin with 4424254 relations and 4351905 unique ideals
Mon Jan 11 00:44:44 2016  reduce to 4423376 relations and 4275415 ideals in 5 passes
Mon Jan 11 00:44:44 2016  max relations containing the same ideal: 68
Mon Jan 11 00:44:44 2016  relations with 0 large ideals: 454
Mon Jan 11 00:44:44 2016  relations with 1 large ideals: 1921
Mon Jan 11 00:44:44 2016  relations with 2 large ideals: 29786
Mon Jan 11 00:44:44 2016  relations with 3 large ideals: 186757
Mon Jan 11 00:44:44 2016  relations with 4 large ideals: 610056
Mon Jan 11 00:44:44 2016  relations with 5 large ideals: 1135953
Mon Jan 11 00:44:44 2016  relations with 6 large ideals: 1254385
Mon Jan 11 00:44:44 2016  relations with 7+ large ideals: 1204064
Mon Jan 11 00:44:44 2016  commencing 2-way merge
Mon Jan 11 00:44:46 2016  reduce to 2637270 relation sets and 2489309 unique ideals
Mon Jan 11 00:44:46 2016  commencing full merge
Mon Jan 11 00:45:26 2016  memory use: 322.3 MB
Mon Jan 11 00:45:26 2016  found 1213522 cycles, need 1201509
Mon Jan 11 00:45:26 2016  weight of 1201509 cycles is about 120601484 (100.38/cycle)
Mon Jan 11 00:45:26 2016  distribution of cycle lengths:
Mon Jan 11 00:45:26 2016  1 relations: 81794
Mon Jan 11 00:45:26 2016  2 relations: 93636
Mon Jan 11 00:45:26 2016  3 relations: 97576
Mon Jan 11 00:45:26 2016  4 relations: 94238
Mon Jan 11 00:45:26 2016  5 relations: 92917
Mon Jan 11 00:45:26 2016  6 relations: 88190
Mon Jan 11 00:45:26 2016  7 relations: 83492
Mon Jan 11 00:45:26 2016  8 relations: 77261
Mon Jan 11 00:45:26 2016  9 relations: 71285
Mon Jan 11 00:45:26 2016  10+ relations: 421120
Mon Jan 11 00:45:26 2016  heaviest cycle: 27 relations
Mon Jan 11 00:45:27 2016  commencing cycle optimization
Mon Jan 11 00:45:28 2016  start with 9775010 relations
Mon Jan 11 00:45:42 2016  pruned 358657 relations
Mon Jan 11 00:45:42 2016  memory use: 280.1 MB
Mon Jan 11 00:45:42 2016  distribution of cycle lengths:
Mon Jan 11 00:45:42 2016  1 relations: 81794
Mon Jan 11 00:45:42 2016  2 relations: 95887
Mon Jan 11 00:45:42 2016  3 relations: 101315
Mon Jan 11 00:45:42 2016  4 relations: 97520
Mon Jan 11 00:45:42 2016  5 relations: 96777
Mon Jan 11 00:45:42 2016  6 relations: 91070
Mon Jan 11 00:45:42 2016  7 relations: 86581
Mon Jan 11 00:45:42 2016  8 relations: 79790
Mon Jan 11 00:45:42 2016  9 relations: 73497
Mon Jan 11 00:45:42 2016  10+ relations: 397278
Mon Jan 11 00:45:42 2016  heaviest cycle: 27 relations
Mon Jan 11 00:45:45 2016  RelProcTime: 485
Mon Jan 11 00:45:45 2016  elapsed time 00:08:06
Mon Jan 11 00:46:33 2016  
<...snipped...>
Mon Jan 11 00:46:34 2016  
Mon Jan 11 00:46:34 2016  commencing linear algebra
Mon Jan 11 00:46:34 2016  read 1201509 cycles
Mon Jan 11 00:46:36 2016  cycles contain 4316463 unique relations
Mon Jan 11 00:47:09 2016  read 4316463 relations
Mon Jan 11 00:47:13 2016  using 20 quadratic characters above 4294917295
Mon Jan 11 00:47:30 2016  building initial matrix
Mon Jan 11 00:48:25 2016  memory use: 555.9 MB
Mon Jan 11 00:48:28 2016  read 1201509 cycles
Mon Jan 11 00:48:28 2016  matrix is 1201331 x 1201509 (482.4 MB) with weight 149600051 (124.51/col)
Mon Jan 11 00:48:28 2016  sparse part has weight 113238179 (94.25/col)
Mon Jan 11 00:48:37 2016  filtering completed in 2 passes
Mon Jan 11 00:48:37 2016  matrix is 1201163 x 1201341 (482.4 MB) with weight 149592348 (124.52/col)
Mon Jan 11 00:48:37 2016  sparse part has weight 113235987 (94.26/col)
Mon Jan 11 00:48:45 2016  matrix starts at (0, 0)
Mon Jan 11 00:48:46 2016  matrix is 1201163 x 1201341 (482.4 MB) with weight 149592348 (124.52/col)
Mon Jan 11 00:48:46 2016  sparse part has weight 113235987 (94.26/col)
Mon Jan 11 00:48:46 2016  saving the first 48 matrix rows for later
Mon Jan 11 00:48:46 2016  matrix includes 64 packed rows
Mon Jan 11 00:48:46 2016  matrix is 1201115 x 1201341 (468.0 MB) with weight 125070096 (104.11/col)
Mon Jan 11 00:48:46 2016  sparse part has weight 110665757 (92.12/col)
Mon Jan 11 00:48:46 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Mon Jan 11 00:48:50 2016  commencing Lanczos iteration (6 threads)
Mon Jan 11 00:48:50 2016  memory use: 375.3 MB
Mon Jan 11 00:48:52 2016  linear algebra at 0.1%, ETA 0h26m
Mon Jan 11 00:48:54 2016  checkpointing every 1820000 dimensions
Mon Jan 11 01:26:42 2016  lanczos halted after 18994 iterations (dim = 1201115)
Mon Jan 11 01:26:42 2016  recovered 31 nontrivial dependencies
Mon Jan 11 01:26:43 2016  BLanczosTime: 2409
Mon Jan 11 01:26:43 2016  
Mon Jan 11 01:26:43 2016  commencing square root phase
Mon Jan 11 01:26:43 2016  reading relations for dependency 1
Mon Jan 11 01:26:43 2016  read 601567 cycles
Mon Jan 11 01:26:43 2016  cycles contain 2160482 unique relations
Mon Jan 11 01:27:07 2016  read 2160482 relations
Mon Jan 11 01:27:13 2016  multiplying 2160482 relations
Mon Jan 11 01:28:20 2016  multiply complete, coefficients have about 99.67 million bits
Mon Jan 11 01:28:20 2016  initial square root is modulo 14253487
Mon Jan 11 01:29:43 2016  GCD is N, no factor found
Mon Jan 11 01:29:43 2016  reading relations for dependency 2
Mon Jan 11 01:29:43 2016  read 600955 cycles
Mon Jan 11 01:29:44 2016  cycles contain 2158982 unique relations
Mon Jan 11 01:30:08 2016  read 2158982 relations
Mon Jan 11 01:30:14 2016  multiplying 2158982 relations
Mon Jan 11 01:31:20 2016  multiply complete, coefficients have about 99.60 million bits
Mon Jan 11 01:31:21 2016  initial square root is modulo 14088143
Mon Jan 11 01:32:41 2016  sqrtTime: 358
Mon Jan 11 01:32:41 2016  p53 factor: 96265821846864660402904255828317866513841670681043173
Mon Jan 11 01:32:41 2016  p80 factor: 23519456324339921291692311238729141068837460081913157668731176914898962635659289
Mon Jan 11 01:32:41 2016  elapsed time 00:46:08
execution environment 実行環境
Core i7-5820K, Linux Debian 8.2 64-bit.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 18:09:55 UTC 2015 年 12 月 23 日 (水) 3 時 9 分 55 秒 (日本時間)
403e62200Youcef LemsaferJanuary 7, 2016 13:26:06 UTC 2016 年 1 月 7 日 (木) 22 時 26 分 6 秒 (日本時間)
4511e62048Youcef LemsaferJanuary 10, 2016 13:03:15 UTC 2016 年 1 月 10 日 (日) 22 時 3 分 15 秒 (日本時間)
5043e6640 / 6716Youcef LemsaferJanuary 10, 2016 13:03:15 UTC 2016 年 1 月 10 日 (日) 22 時 3 分 15 秒 (日本時間)
5511e7120 / 17395Youcef LemsaferJanuary 10, 2016 13:03:15 UTC 2016 年 1 月 10 日 (日) 22 時 3 分 15 秒 (日本時間)

10269+3

c225

composite cofactor 合成数の残り
310560018602146616997549633903546281958662475275337708136403868366351068489478902418258944353074776555725953565325762189804779425372352245859500887694577358448872364485948409651118591560369733892952898246797336715428072355331<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 22, 2015 18:14:04 UTC 2015 年 12 月 23 日 (水) 3 時 14 分 4 秒 (日本時間)
403e62200Youcef LemsaferJanuary 8, 2016 10:25:59 UTC 2016 年 1 月 8 日 (金) 19 時 25 分 59 秒 (日本時間)
4511e62048512Youcef LemsaferJanuary 8, 2016 20:54:37 UTC 2016 年 1 月 9 日 (土) 5 時 54 分 37 秒 (日本時間)
1536Youcef LemsaferFebruary 26, 2016 07:21:25 UTC 2016 年 2 月 26 日 (金) 16 時 21 分 25 秒 (日本時間)
5043e6576 / 7005Youcef LemsaferFebruary 26, 2016 07:21:25 UTC 2016 年 2 月 26 日 (金) 16 時 21 分 25 秒 (日本時間)

10270+3

c247

composite cofactor 合成数の残り
2982551024999049307177362383289053851674303998074463715688917968169459315188560606933785358904681181982008851663483450367677288610814344738989070421060346862255836673068975360288401976677155033685062352946437529952523174020945270342186470050884307<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 23, 2015 10:51:24 UTC 2015 年 12 月 23 日 (水) 19 時 51 分 24 秒 (日本時間)
403e62200Youcef LemsaferJanuary 9, 2016 09:26:06 UTC 2016 年 1 月 9 日 (土) 18 時 26 分 6 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 9, 2016 22:49:25 UTC 2016 年 1 月 10 日 (日) 7 時 49 分 25 秒 (日本時間)

10271+3

c267

composite cofactor 合成数の残り
380618886309138659460282419213641380885319529555056521904616907090929851939253225745061469950138925893502835610703003083012979104023141628287595630495185171088189395957827427396947436531800707951128534997906596125299737372968446694324972405130742587447189129524607011<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovOctober 28, 2015 23:10:33 UTC 2015 年 10 月 29 日 (木) 8 時 10 分 33 秒 (日本時間)
1800Youcef LemsaferJanuary 10, 2016 10:21:13 UTC 2016 年 1 月 10 日 (日) 19 時 21 分 13 秒 (日本時間)
4511e63968512Youcef LemsaferJanuary 10, 2016 18:05:46 UTC 2016 年 1 月 11 日 (月) 3 時 5 分 46 秒 (日本時間)
3456AMay 23, 2016 18:15:50 UTC 2016 年 5 月 24 日 (火) 3 時 15 分 50 秒 (日本時間)
5043e61408 / 6572Alfred ReichMay 25, 2016 15:35:01 UTC 2016 年 5 月 26 日 (木) 0 時 35 分 1 秒 (日本時間)

10272+3

c262

composite cofactor 合成数の残り
4774338865666082647781547626885406762703027357203616016976872196030993071635033849012919172909284501057901371763190887683702009156345384691504507443464065591027309891445646663006302963146184441256160789983031775754929942530508198779465563439776270000515295826073<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 18, 2015 12:13:39 UTC 2015 年 11 月 18 日 (水) 21 時 13 分 39 秒 (日本時間)
1800Youcef LemsaferJanuary 11, 2016 08:17:59 UTC 2016 年 1 月 11 日 (月) 17 時 17 分 59 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 11, 2016 19:55:39 UTC 2016 年 1 月 12 日 (火) 4 時 55 分 39 秒 (日本時間)

10273+3

c241

name 名前Youcef Lemsafer
date 日付January 12, 2016 07:25:21 UTC 2016 年 1 月 12 日 (火) 16 時 25 分 21 秒 (日本時間)
composite number 合成数
2563906423595601870953060515432629196956052946865239609800176238361829506134228279785303162443993174410789075785768195913199697804603405349375571919021885195805822946470328095685331568341040251951979546984463084084042027631607298844575939927<241>
prime factors 素因数
344993155571457468539579245369064198677<39>
7378825511604307474577990606090532426331817<43>
1007173871837808568446453236697857967855955000828194304170674119999928128845252728740806611295651769086939900685051858710192206024902593334896538319088909342403<160>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^273+3)/(23*1583*7042774119001*1521056404586021) (241 digits)
[Mon Jan 11 23:21:13 2016]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=3000000, B2=3000000-5706890290, polynomial Dickson(6), sigma=1527649566
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+007        3.9e+008        6e+009  1.1e+011        7.4e+015
Step 1 took 26187ms
Using 29 small primes for NTT
Estimated memory usage: 77M
Initializing tables of differences for F took 31ms
Computing roots of F took 891ms
Building F from its roots took 1375ms
Computing 1/F took 687ms
Initializing table of differences for G took 16ms
Computing roots of G took 656ms
Building G from its roots took 1531ms
Computing roots of G took 657ms
Building G from its roots took 1531ms
Computing G * H took 328ms
Reducing  G * H mod F took 468ms
Computing polyeval(F,G) took 2797ms
Computing product of all F(g_i) took 32ms
Step 2 took 11125ms
********** Factor found in step 2: 344993155571457468539579245369064198677
Found probable prime factor of 39 digits: 344993155571457468539579245369064198677
Composite cofactor ((10^273+3)/(23*1583*7042774119001*1521056404586021))/344993155571457468539579245369064198677 has 202 digits
[Mon Jan 11 23:57:03 2016]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=3000000, B2=3000000-5706890290, polynomial Dickson(6), sigma=2828923556
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+007        3.9e+008        6e+009  1.1e+011        7.4e+015
Step 1 took 22610ms
Using 25 small primes for NTT
Estimated memory usage: 66M
Initializing tables of differences for F took 16ms
Computing roots of F took 640ms
Building F from its roots took 1219ms
Computing 1/F took 594ms
Initializing table of differences for G took 15ms
Computing roots of G took 578ms
Building G from its roots took 1485ms
Computing roots of G took 562ms
Building G from its roots took 1406ms
Computing G * H took 375ms
Reducing  G * H mod F took 422ms
Computing polyeval(F,G) took 2594ms
Computing product of all F(g_i) took 16ms
Step 2 took 10015ms
********** Factor found in step 2: 7378825511604307474577990606090532426331817
Found probable prime factor of 43 digits: 7378825511604307474577990606090532426331817
Probable prime cofactor (((10^273+3)/(23*1583*7042774119001*1521056404586021))/344993155571457468539579245369064198677)/7378825511604307474577990606090532426331817 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 23, 2015 10:53:55 UTC 2015 年 12 月 23 日 (水) 19 時 53 分 55 秒 (日本時間)
403e6785 / 2074Youcef LemsaferJanuary 12, 2016 07:19:40 UTC 2016 年 1 月 12 日 (火) 16 時 19 分 40 秒 (日本時間)

10274+3

c243

composite cofactor 合成数の残り
203238061895988855381896717816340357659839519229903472362870913000127420509981090380119267850388433538244763648832721537072642682756241946748385043583326715639165857842917714930833525621013849436205398582604895552020256414099517048379554859571<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 23, 2015 10:54:30 UTC 2015 年 12 月 23 日 (水) 19 時 54 分 30 秒 (日本時間)
403e62200Youcef LemsaferJanuary 12, 2016 12:59:40 UTC 2016 年 1 月 12 日 (火) 21 時 59 分 40 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 13, 2016 05:49:53 UTC 2016 年 1 月 13 日 (水) 14 時 49 分 53 秒 (日本時間)

10277+3

c256

composite cofactor 合成数の残り
7550895207265219613862025191937878987355984497280963283877005279324207368577587867135689772319338999582361910861264167750157729833285249718969139689588802822309388437912666241793210990965515249394587442020750853623844662504720806152469867045595106781186491<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 23, 2015 10:55:00 UTC 2015 年 12 月 23 日 (水) 19 時 55 分 0 秒 (日本時間)
403e62200Youcef LemsaferJanuary 13, 2016 16:09:54 UTC 2016 年 1 月 14 日 (木) 1 時 9 分 54 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 14, 2016 05:40:21 UTC 2016 年 1 月 14 日 (木) 14 時 40 分 21 秒 (日本時間)

10278+3

c270

composite cofactor 合成数の残り
727499373750351591353591373044706298790700343495376810592257021920349105415481330718283484433619512429483212890113263868249630614011726693355369192364314982988554768877341081162863807977762497542598052893031118356487540776612710972363077215554055920679812080800765544681<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovOctober 28, 2015 23:07:20 UTC 2015 年 10 月 29 日 (木) 8 時 7 分 20 秒 (日本時間)
1800Youcef LemsaferJanuary 14, 2016 20:01:53 UTC 2016 年 1 月 15 日 (金) 5 時 1 分 53 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 15, 2016 09:36:31 UTC 2016 年 1 月 15 日 (金) 18 時 36 分 31 秒 (日本時間)

10279+3

c239

composite cofactor 合成数の残り
18974653013409799032946293624042577103713427908358119752292425979482635219041219547576610348063773566052391809861804028490153603484204492329974227342248941859105481644129652178531345568840090251106289446012552239822278363704277238134320609<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 23, 2015 10:56:17 UTC 2015 年 12 月 23 日 (水) 19 時 56 分 17 秒 (日本時間)
403e62200Youcef LemsaferJanuary 16, 2016 03:22:12 UTC 2016 年 1 月 16 日 (土) 12 時 22 分 12 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 16, 2016 12:19:46 UTC 2016 年 1 月 16 日 (土) 21 時 19 分 46 秒 (日本時間)

10280+3

c255

composite cofactor 合成数の残り
707691768826074404961997494989165275954910296216840195295268994896498844720318823784954386876414401881239785985504002956306194726898430168698758708927999948393695100073943467109679001901868212467711627236771327877141009917835744063650627091834176901392863<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 23, 2015 13:26:50 UTC 2015 年 12 月 23 日 (水) 22 時 26 分 50 秒 (日本時間)
403e62200Youcef LemsaferJanuary 16, 2016 22:14:35 UTC 2016 年 1 月 17 日 (日) 7 時 14 分 35 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 17, 2016 10:01:49 UTC 2016 年 1 月 17 日 (日) 19 時 1 分 49 秒 (日本時間)

10281+3

c252

composite cofactor 合成数の残り
667611221854152312759416263327214659534371838276411643558102417138665862040769461367021146067916589712074733424654260210511122817578188265325181678232060873148349583938077407620682074631743528872599580144943881429742191377643538491695780665714790688579<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 23, 2015 14:47:24 UTC 2015 年 12 月 23 日 (水) 23 時 47 分 24 秒 (日本時間)
403e62200Youcef LemsaferJanuary 17, 2016 19:06:51 UTC 2016 年 1 月 18 日 (月) 4 時 6 分 51 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 18, 2016 05:04:40 UTC 2016 年 1 月 18 日 (月) 14 時 4 分 40 秒 (日本時間)

10282+3

c221

composite cofactor 合成数の残り
33328182814176575063084478504428149702221641578440594819169608454634772187056393579996193146693531411312469082803471613944521275333645514519190583287503066723875351091194097962827822762707091562754988201161967719864256873<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 23, 2015 16:37:53 UTC 2015 年 12 月 24 日 (木) 1 時 37 分 53 秒 (日本時間)
403e62200Youcef LemsaferJanuary 18, 2016 16:59:20 UTC 2016 年 1 月 19 日 (火) 1 時 59 分 20 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 19, 2016 03:54:18 UTC 2016 年 1 月 19 日 (火) 12 時 54 分 18 秒 (日本時間)

10283+3

c252

composite cofactor 合成数の残り
158054861868792874270467144465175961511964142236716373476690130757575854839642732920619874052310453766843809823727520227644629244970535077423045633404137534082642828913290934942677873231925273419075965196523639371083803361477812395786411243335873080279<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 23, 2015 17:41:37 UTC 2015 年 12 月 24 日 (木) 2 時 41 分 37 秒 (日本時間)
403e62200Youcef LemsaferJanuary 19, 2016 15:48:30 UTC 2016 年 1 月 20 日 (水) 0 時 48 分 30 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 20, 2016 03:51:56 UTC 2016 年 1 月 20 日 (水) 12 時 51 分 56 秒 (日本時間)

10284+3

c253

name 名前Youcef Lemsafer
date 日付January 20, 2016 22:13:27 UTC 2016 年 1 月 21 日 (木) 7 時 13 分 27 秒 (日本時間)
composite number 合成数
1233192154320380844234728235186002832019899018058804537251808086514831619106461673059094625256181037957917884216241989083398951209254147899980958624653219895085433071758016070683675679755985359237314768117009561306940327722017279268015350210604533381047<253>
prime factors 素因数
47421280646712357762153085774346158035817<41>
26005036926514891622419887004993122945074375850838364036752350069818845976585765949272510244715455941967276343092725734174074948119039534066121569397802439640936860807000345021818699674577477547458330959726620191<212>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^284+3)/(19*31*2478967441099*55537091190792859) (253 digits)
[Wed Jan 20 16:17:12 2016]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=3000000, B2=3000000-5706890290, polynomial Dickson(6), sigma=3660903374
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+007        3.9e+008        6e+009  1.1e+011        7.4e+015
Step 1 took 26531ms
Using 30 small primes for NTT
Estimated memory usage: 81M
Initializing tables of differences for F took 31ms
Computing roots of F took 625ms
Building F from its roots took 1172ms
Computing 1/F took 641ms
Initializing table of differences for G took 15ms
Computing roots of G took 625ms
Building G from its roots took 1391ms
Computing roots of G took 578ms
Building G from its roots took 1437ms
Computing G * H took 328ms
Reducing  G * H mod F took 359ms
Computing polyeval(F,G) took 2469ms
Computing product of all F(g_i) took 16ms
Step 2 took 9797ms
********** Factor found in step 2: 47421280646712357762153085774346158035817
Found probable prime factor of 41 digits: 47421280646712357762153085774346158035817
Probable prime cofactor ((10^284+3)/(19*31*2478967441099*55537091190792859))/47421280646712357762153085774346158035817 has 212 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 24, 2015 09:32:41 UTC 2015 年 12 月 24 日 (木) 18 時 32 分 41 秒 (日本時間)
403e61635 / 2074Youcef LemsaferJanuary 20, 2016 22:10:48 UTC 2016 年 1 月 21 日 (木) 7 時 10 分 48 秒 (日本時間)

10286+3

c245

name 名前Youcef Lemsafer
date 日付December 24, 2015 09:35:38 UTC 2015 年 12 月 24 日 (木) 18 時 35 分 38 秒 (日本時間)
composite number 合成数
79121133571307952457109308646828673690515222493075563927078529903845436758103504399388324576746393819064892233479021874894694346240939506900052538717991653059238710338178776409194661707791358882437896696439349550300450801940423371650220300010159<245>
prime factors 素因数
21927556288137870341952310380229<32>
composite cofactor 合成数の残り
3608296908767259132913010089242249026561677555489825314363595945467860280503193643790990816881621425850613239161641841063622566127820472165033116566887369831629830965444491429178235404669163306653262992911516179171<214>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^286+3)/(7^2*547*2634109*197886289*9046376246915873101339) (245 digits)
[Wed Dec 23 21:46:35 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=3999791038
dF=4096, k=6, d=39270, d2=13, i0=13
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
910     8615    97096   1281819 1.9e+007        3.1e+008        6.2e+009        1.7e+011        2.3e+016        3.1e+021
Step 1 took 8641ms
Using 29 small primes for NTT
Estimated memory usage: 19M
Initializing tables of differences for F took 31ms
Computing roots of F took 157ms
Building F from its roots took 219ms
Computing 1/F took 156ms
Initializing table of differences for G took 16ms
Computing roots of G took 172ms
Building G from its roots took 265ms
Computing roots of G took 157ms
Building G from its roots took 281ms
Computing G * H took 62ms
Reducing  G * H mod F took 94ms
Computing roots of G took 141ms
Building G from its roots took 265ms
Computing G * H took 94ms
Reducing  G * H mod F took 94ms
Computing roots of G took 156ms
Building G from its roots took 266ms
Computing G * H took 62ms
Reducing  G * H mod F took 94ms
Computing roots of G took 156ms
Building G from its roots took 250ms
Computing G * H took 78ms
Reducing  G * H mod F took 79ms
Computing roots of G took 140ms
Building G from its roots took 281ms
Computing G * H took 63ms
Reducing  G * H mod F took 109ms
Computing polyeval(F,G) took 485ms
Computing product of all F(g_i) took 0ms
Step 2 took 4453ms
********** Factor found in step 2: 21927556288137870341952310380229
Found probable prime factor of 32 digits: 21927556288137870341952310380229
Composite cofactor ((10^286+3)/(7^2*547*2634109*197886289*9046376246915873101339))/21927556288137870341952310380229 has 214 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 24, 2015 09:34:29 UTC 2015 年 12 月 24 日 (木) 18 時 34 分 29 秒 (日本時間)
403e62200Youcef LemsaferJanuary 21, 2016 04:11:49 UTC 2016 年 1 月 21 日 (木) 13 時 11 分 49 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 21, 2016 13:35:40 UTC 2016 年 1 月 21 日 (木) 22 時 35 分 40 秒 (日本時間)

10287+3

c288

name 名前Dmitry Domanov
date 日付February 13, 2016 21:04:32 UTC 2016 年 2 月 14 日 (日) 6 時 4 分 32 秒 (日本時間)
composite number 合成数
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<288>
prime factors 素因数
34063788845851374656087366478010842180468143<44>
composite cofactor 合成数の残り
2935668737630135636725108110293552403816428281983705422555525234223286031565507731530240944787750114653399380006451813855074690223765915429220673204112186654110794637323426011259730270500621451482758874237108025231911281127664334573959780183021<244>
factorization results 素因数分解の結果
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1289875938
Step 1 took 1591244ms
Step 2 took 369034ms
********** Factor found in step 2: 34063788845851374656087366478010842180468143
Found probable prime factor of 44 digits: 34063788845851374656087366478010842180468143

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62350600Dmitry DomanovOctober 28, 2015 23:05:07 UTC 2015 年 10 月 29 日 (木) 8 時 5 分 7 秒 (日本時間)
1750Serge BatalovNovember 16, 2015 16:57:03 UTC 2015 年 11 月 17 日 (火) 1 時 57 分 3 秒 (日本時間)
4511e6512256Youcef LemsaferDecember 24, 2015 09:38:55 UTC 2015 年 12 月 24 日 (木) 18 時 38 分 55 秒 (日本時間)
256Youcef LemsaferJanuary 22, 2016 10:30:00 UTC 2016 年 1 月 22 日 (金) 19 時 30 分 0 秒 (日本時間)
5043e6600 / 6867Dmitry DomanovFebruary 6, 2016 15:54:07 UTC 2016 年 2 月 7 日 (日) 0 時 54 分 7 秒 (日本時間)
5511e7200 / 17505Dmitry DomanovFebruary 12, 2016 20:10:33 UTC 2016 年 2 月 13 日 (土) 5 時 10 分 33 秒 (日本時間)

10288+3

c236

composite cofactor 合成数の残り
69853874060327940537814672694750862708752687221840486731866220118269244086068735431631605302047448132874852038853843035174255144128575095216664455445101599422577762047734537390908726674855668563335080302649466582689668779648712079058147<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 24, 2015 09:39:29 UTC 2015 年 12 月 24 日 (木) 18 時 39 分 29 秒 (日本時間)
403e62200Youcef LemsaferJanuary 22, 2016 10:28:45 UTC 2016 年 1 月 22 日 (金) 19 時 28 分 45 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 22, 2016 21:21:49 UTC 2016 年 1 月 23 日 (土) 6 時 21 分 49 秒 (日本時間)

10289+3

c275

composite cofactor 合成数の残り
22271138539868317151825162116883984098999547673048033648563062568619203080427413157533590298618558240074359223859125181343825747009166917655907464408583312808042765492527435846646531824377505628077331944603102154007826402538748815188205136235675487790588661014495179064227189<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 24, 2015 09:39:52 UTC 2015 年 12 月 24 日 (木) 18 時 39 分 52 秒 (日本時間)
403e62200Youcef LemsaferJanuary 23, 2016 23:49:06 UTC 2016 年 1 月 24 日 (日) 8 時 49 分 6 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 23, 2016 23:49:06 UTC 2016 年 1 月 24 日 (日) 8 時 49 分 6 秒 (日本時間)

10290+3

c291

name 名前Dmitry Domanov
date 日付September 6, 2016 06:13:08 UTC 2016 年 9 月 6 日 (火) 15 時 13 分 8 秒 (日本時間)
composite number 合成数
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<291>
prime factors 素因数
10986339883821267003424329863740329496193719007689<50>
composite cofactor 合成数の残り
9102212479996387640615453612595385198542660903953580529979513520477614916052969385814469228108016539324163775091839669100596909676194552894543150740941583844710690936656351364205527333829171050705825738343048239602690922364840634452598411627<241>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=143171089
Step 1 took 545091ms
Step 2 took 115146ms
********** Factor found in step 2: 10986339883821267003424329863740329496193719007689
Found probable prime factor of 50 digits: 10986339883821267003424329863740329496193719007689

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovOctober 28, 2015 18:47:48 UTC 2015 年 10 月 29 日 (木) 3 時 47 分 48 秒 (日本時間)
1800Serge BatalovNovember 16, 2015 16:52:55 UTC 2015 年 11 月 17 日 (火) 1 時 52 分 55 秒 (日本時間)
4511e6512256Youcef LemsaferDecember 24, 2015 14:30:08 UTC 2015 年 12 月 24 日 (木) 23 時 30 分 8 秒 (日本時間)
256Youcef LemsaferJanuary 25, 2016 05:52:11 UTC 2016 年 1 月 25 日 (月) 14 時 52 分 11 秒 (日本時間)
5043e63800 / 6866600Dmitry DomanovFebruary 6, 2016 15:52:43 UTC 2016 年 2 月 7 日 (日) 0 時 52 分 43 秒 (日本時間)
3200Dmitry DomanovSeptember 2, 2016 22:26:51 UTC 2016 年 9 月 3 日 (土) 7 時 26 分 51 秒 (日本時間)
5511e7200 / 16363Dmitry DomanovFebruary 12, 2016 20:08:21 UTC 2016 年 2 月 13 日 (土) 5 時 8 分 21 秒 (日本時間)

10292+3

c272

composite cofactor 合成数の残り
52559129962803191307370251164055319762679284505390049320908914811545327815295501972711563834787027465797410053531715685757972804640719743365191383468484404970556644467363866219316848342349594870978347477667309355373144663760720439682191355460927235808724806841110123808083<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 24, 2015 22:23:18 UTC 2015 年 12 月 25 日 (金) 7 時 23 分 18 秒 (日本時間)
403e62200Youcef LemsaferJanuary 25, 2016 05:55:45 UTC 2016 年 1 月 25 日 (月) 14 時 55 分 45 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 25, 2016 09:43:36 UTC 2016 年 1 月 25 日 (月) 18 時 43 分 36 秒 (日本時間)

10293+3

c222

name 名前Youcef Lemsafer
date 日付December 24, 2015 22:27:24 UTC 2015 年 12 月 25 日 (金) 7 時 27 分 24 秒 (日本時間)
composite number 合成数
735905655488351676632303470707423061970622473595156574984972656629712833334326046628832411821291713038071213847840846467623229427505695420631360556897936083823361424571469389668566080970607106049509110663979443509111335817<222>
prime factors 素因数
21553758536380357206674923497094609<35>
34142799467954715923547179836825606099713901665054996112217182884995653362783402528612657081098105249614231417301314438320558153204950904974286082531379817013456837214436258651976047405113<188>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^293+3)/(29*59^2*43541*144619266307*10634915356253119*56833519850647987*353681784890155781) (222 digits)
[Thu Dec 24 17:40:13 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=1409078062
dF=4096, k=6, d=39270, d2=13, i0=13
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
910     8615    97096   1281819 1.9e+007        3.1e+008        6.2e+009        1.7e+011        2.3e+016        3.1e+021
Step 1 took 7125ms
Using 27 small primes for NTT
Estimated memory usage: 18M
Initializing tables of differences for F took 15ms
Computing roots of F took 125ms
Building F from its roots took 203ms
Computing 1/F took 125ms
Initializing table of differences for G took 16ms
Computing roots of G took 109ms
Building G from its roots took 204ms
Computing roots of G took 140ms
Building G from its roots took 219ms
Computing G * H took 62ms
Reducing  G * H mod F took 79ms
Computing roots of G took 109ms
Building G from its roots took 234ms
Computing G * H took 63ms
Reducing  G * H mod F took 94ms
Computing roots of G took 109ms
Building G from its roots took 250ms
Computing G * H took 62ms
Reducing  G * H mod F took 94ms
Computing roots of G took 110ms
Building G from its roots took 234ms
Computing G * H took 62ms
Reducing  G * H mod F took 79ms
Computing roots of G took 109ms
Building G from its roots took 234ms
Computing G * H took 63ms
Reducing  G * H mod F took 78ms
Computing polyeval(F,G) took 406ms
Computing product of all F(g_i) took 0ms
Step 2 took 3719ms
********** Factor found in step 2: 21553758536380357206674923497094609
Found probable prime factor of 35 digits: 21553758536380357206674923497094609
Probable prime cofactor ((10^293+3)/(29*59^2*43541*144619266307*10634915356253119*56833519850647987*353681784890155781))/21553758536380357206674923497094609 has 188 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6213 / 825Youcef LemsaferDecember 24, 2015 22:25:25 UTC 2015 年 12 月 25 日 (金) 7 時 25 分 25 秒 (日本時間)

10295+3

c265

composite cofactor 合成数の残り
1817141228296895476487052195562025886373368023615688973804238799199499551955757442113725745625112029256865046342380513902935642109005746983097805214397708062206642664931874526975829429117746473633128920308851606929894839749928372236632299507596126762948785557902271<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 24, 2015 22:31:33 UTC 2015 年 12 月 25 日 (金) 7 時 31 分 33 秒 (日本時間)
403e62200Youcef LemsaferJanuary 26, 2016 06:28:50 UTC 2016 年 1 月 26 日 (火) 15 時 28 分 50 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 26, 2016 19:43:21 UTC 2016 年 1 月 27 日 (水) 4 時 43 分 21 秒 (日本時間)

10296+3

c280

composite cofactor 合成数の残り
1569439813765737745685054818993990325942603248768769385536827391705776660662208859045635200897835197377100458244426530265141962099360089092642300104788781717166139170112219302463446880641603576927783324665944776790087274918277946287943881379534743835140599739767866508502490652167<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 24, 2015 22:32:34 UTC 2015 年 12 月 25 日 (金) 7 時 32 分 34 秒 (日本時間)
403e62200Youcef LemsaferJanuary 27, 2016 07:51:03 UTC 2016 年 1 月 27 日 (水) 16 時 51 分 3 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 27, 2016 20:54:26 UTC 2016 年 1 月 28 日 (木) 5 時 54 分 26 秒 (日本時間)

10297+3

c290

composite cofactor 合成数の残り
16693940949157050302833931697041097461013512860419472326896478017510374825216525004944327960616589373441839720371147040515677171434737216418564376836135263858504293339386333735618357679136879180924474724730686249683295072768304309442361773292509079792747394146767085618365191410306301597111<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 18:43:06 UTC 2015 年 10 月 29 日 (木) 3 時 43 分 6 秒 (日本時間)
4511e60--
5043e61500 / 6914Erik BrangerNovember 6, 2015 21:44:34 UTC 2015 年 11 月 7 日 (土) 6 時 44 分 34 秒 (日本時間)
5511e7256 / 17229128Youcef LemsaferDecember 26, 2015 09:37:14 UTC 2015 年 12 月 26 日 (土) 18 時 37 分 14 秒 (日本時間)
128Youcef LemsaferJanuary 29, 2016 10:12:18 UTC 2016 年 1 月 29 日 (金) 19 時 12 分 18 秒 (日本時間)

10298+3

c238

name 名前Dmitry Domanov
date 日付November 18, 2015 14:41:13 UTC 2015 年 11 月 18 日 (水) 23 時 41 分 13 秒 (日本時間)
composite number 合成数
2512108409307803435526839052298083473042660455710518967863554934485992739228850086555332331710275948102094994685891534849704551168404829316771029685873117988621527707527968151546601302029174695014169845923559652854955252121608882348830623<238>
prime factors 素因数
20087724203194254045442860093151<32>
composite cofactor 合成数の残り
125056894643562457110055211354063082034119576152825331720342254121774024585545247589821788664374158737007592685852325914740501158151894132068239343071566515865057668801437149617170093688356571482347215140673<207>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1388239131
Step 1 took 47145ms
Step 2 took 15232ms
********** Factor found in step 2: 20087724203194254045442860093151
Found probable prime factor of 32 digits: 20087724203194254045442860093151

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 18, 2015 12:12:49 UTC 2015 年 11 月 18 日 (水) 21 時 12 分 49 秒 (日本時間)
1800Youcef LemsaferJanuary 30, 2016 08:47:08 UTC 2016 年 1 月 30 日 (土) 17 時 47 分 8 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 30, 2016 08:47:08 UTC 2016 年 1 月 30 日 (土) 17 時 47 分 8 秒 (日本時間)

10299+3

c282

composite cofactor 合成数の残り
232108848232713264078189872658269329048627979066222095073318293554144644927075187796740243871271214407796424698454521544740943902837148186016079873476451606780628033300701623686417270295555915431854649288465278222016051524356076089404296603047490797231842763422309868268605793412483<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6960Youcef LemsaferDecember 27, 2015 09:21:20 UTC 2015 年 12 月 27 日 (日) 18 時 21 分 20 秒 (日本時間)
403e62200Youcef LemsaferJanuary 31, 2016 09:19:10 UTC 2016 年 1 月 31 日 (日) 18 時 19 分 10 秒 (日本時間)
4511e6512 / 3948Youcef LemsaferJanuary 31, 2016 09:19:10 UTC 2016 年 1 月 31 日 (日) 18 時 19 分 10 秒 (日本時間)

10300+3

c295

name 名前Dmitry Domanov
date 日付October 31, 2015 23:04:02 UTC 2015 年 11 月 1 日 (日) 8 時 4 分 2 秒 (日本時間)
composite number 合成数
2459945930388450061867640149269519055971149754128404257674416316329367080511570355683582074865994445442089182879760302868542949425971617143855178063186171167957728289132204874136866471674952584542191762625057501236122830020196156088489175007933325625502751449523139481394198955506957957064103731<295>
prime factors 素因数
295282056924686380563583365091603977446117859823<48>
composite cofactor 合成数の残り
8330834443543162382997222296063085092934412319013749139975990083643907345129623222160187447606180997711670058353800258390604398325249442113829680357790298365251314948718781432032155953211667926365699389092534509523569798900197781609982236745798397<247>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=546977595
Step 1 took 190208ms
Step 2 took 49310ms
********** Factor found in step 2: 295282056924686380563583365091603977446117859823
Found probable prime factor of 48 digits: 295282056924686380563583365091603977446117859823

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61200Dmitry DomanovOctober 28, 2015 12:20:08 UTC 2015 年 10 月 28 日 (水) 21 時 20 分 8 秒 (日本時間)
4511e61200Dmitry DomanovOctober 31, 2015 13:28:35 UTC 2015 年 10 月 31 日 (土) 22 時 28 分 35 秒 (日本時間)
5043e61560 / 6930600Dmitry DomanovOctober 31, 2015 22:39:11 UTC 2015 年 11 月 1 日 (日) 7 時 39 分 11 秒 (日本時間)
480Youcef LemsaferDecember 28, 2015 09:27:03 UTC 2015 年 12 月 28 日 (月) 18 時 27 分 3 秒 (日本時間)
480Youcef LemsaferFebruary 1, 2016 13:58:28 UTC 2016 年 2 月 1 日 (月) 22 時 58 分 28 秒 (日本時間)
5511e7128 / 17128Dmitry DomanovNovember 1, 2015 18:09:07 UTC 2015 年 11 月 2 日 (月) 3 時 9 分 7 秒 (日本時間)