Table of contents 目次

86×10153+319

c128

name 名前Jo Yeong Uk
date 日付February 22, 2007 22:49:20 UTC 2007 年 2 月 23 日 (金) 7 時 49 分 20 秒 (日本時間)
composite number 合成数
26211739004783903442088690574964455578189548285351447620659647136122658039301734190181588545726298787223130741712855492947169883<128>
prime factors 素因数
2333147258247029252947881169964585045658781<43>
11234498342156787134685645268358398193131468455122513168368272096894919519757431168343<86>
factorization results 素因数分解の結果
Number: 95559_153
N=26211739004783903442088690574964455578189548285351447620659647136122658039301734190181588545726298787223130741712855492947169883
  ( 128 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=2333147258247029252947881169964585045658781 (pp43)
 r2=11234498342156787134685645268358398193131468455122513168368272096894919519757431168343 (pp86)
Version: GGNFS-0.77.1-20050930-k8
Total time: 28.68 hours.
Scaled time: 25.98 units (timescale=0.906).
Factorization parameters were as follows:
n: 26211739004783903442088690574964455578189548285351447620659647136122658039301734190181588545726298787223130741712855492947169883
m: 2000000000000000000000000000000
c5: 5375
c0: 62
skew: 1
type: snfs
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, 2800001)
Primes: RFBsize:216816, AFBsize:216097, largePrimes:5600692 encountered
Relations: rels:5519089, finalFF:512518
Max relations in full relation-set: 28
Initial matrix: 432979 x 512518 with sparse part having weight 41128559.
Pruned matrix : 389202 x 391430 with weight 27957400.
Total sieving time: 27.31 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.20 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 28.68 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

86×10155+319

c125

name 名前Robert Backstrom
date 日付May 6, 2007 05:59:24 UTC 2007 年 5 月 6 日 (日) 14 時 59 分 24 秒 (日本時間)
composite number 合成数
64489522298788131872083990903207589990122986848898622434996970678191618339288837124645592388512510110304876458442669496993607<125>
prime factors 素因数
146893790346276534914663990304041376179590078145821<51>
439021432742427786693807047121586584432982187601506537680594815438795711667<75>
factorization results 素因数分解の結果
Number: n
N=64489522298788131872083990903207589990122986848898622434996970678191618339288837124645592388512510110304876458442669496993607
  ( 125 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=146893790346276534914663990304041376179590078145821 (pp51)
 r2=439021432742427786693807047121586584432982187601506537680594815438795711667 (pp75)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 25.08 hours.
Scaled time: 36.31 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_9_5_154_9
n: 64489522298788131872083990903207589990122986848898622434996970678191618339288837124645592388512510110304876458442669496993607
skew: 0.82
deg: 5
c5: 86
c0: 31
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1200001)
Primes: RFBsize:216816, AFBsize:217122, largePrimes:6799735 encountered
Relations: rels:6278199, finalFF:494460
Max relations in full relation-set: 28
Initial matrix: 434004 x 494460 with sparse part having weight 30387568.
Pruned matrix : 381067 x 383301 with weight 19287909.
Total sieving time: 21.81 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.02 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 25.08 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

86×10158+319

c126

name 名前Jo Yeong Uk
date 日付October 4, 2007 02:21:00 UTC 2007 年 10 月 4 日 (木) 11 時 21 分 0 秒 (日本時間)
composite number 合成数
656979775835466476708907333677417137270421517155228763448205475015038680910810608163311078289165054665585517079132773251213273<126>
prime factors 素因数
3016236812826278990601156748919149544847529142617<49>
217814388128186210847141219564082430746842862444289701637257172552121621783169<78>
factorization results 素因数分解の結果
Number: 95559_158
N=656979775835466476708907333677417137270421517155228763448205475015038680910810608163311078289165054665585517079132773251213273
  ( 126 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=3016236812826278990601156748919149544847529142617 (pp49)
 r2=217814388128186210847141219564082430746842862444289701637257172552121621783169 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 36.34 hours.
Scaled time: 76.82 units (timescale=2.114).
Factorization parameters were as follows:
n: 656979775835466476708907333677417137270421517155228763448205475015038680910810608163311078289165054665585517079132773251213273
m: 100000000000000000000000000000000
c5: 43
c0: 1550
skew: 2.05
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4100001)
Primes: RFBsize:283146, AFBsize:282493, largePrimes:5699146 encountered
Relations: rels:5718310, finalFF:642706
Max relations in full relation-set: 28
Initial matrix: 565705 x 642706 with sparse part having weight 43053754.
Pruned matrix : 513370 x 516262 with weight 31561464.
Total sieving time: 34.80 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.38 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 36.34 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

86×10162+319

c155

name 名前Robert Backstrom
date 日付July 23, 2007 06:22:33 UTC 2007 年 7 月 23 日 (月) 15 時 22 分 33 秒 (日本時間)
composite number 合成数
38322574789598358592787335737630181268537088962417700159555639086291479506619682708714377535238568925490441405819861474435299782420863402913266182619482713<155>
prime factors 素因数
15748989216219619926851701365192338858672015860064422379<56>
2433335515280598540281314498084827557020483327676703163289609599551700916484623909357190520150067147<100>
factorization results 素因数分解の結果
Number: n
N=38322574789598358592787335737630181268537088962417700159555639086291479506619682708714377535238568925490441405819861474435299782420863402913266182619482713
  ( 155 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=15748989216219619926851701365192338858672015860064422379 (pp56)
 r2=2433335515280598540281314498084827557020483327676703163289609599551700916484623909357190520150067147 (pp100)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 72.01 hours.
Scaled time: 86.12 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_9_5_161_9
n: 38322574789598358592787335737630181268537088962417700159555639086291479506619682708714377535238568925490441405819861474435299782420863402913266182619482713
type: snfs
skew: 0.32
deg: 5
c5: 8600
c0: 31
m: 100000000000000000000000000000000
rlim: 3600000
alim: 3600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2800001)
Primes: RFBsize:256726, AFBsize:257352, largePrimes:7397949 encountered
Relations: rels:6878522, finalFF:577657
Max relations in full relation-set: 28
Initial matrix: 514145 x 577657 with sparse part having weight 36827281.
Pruned matrix : 463389 x 466023 with weight 25709396.
Total sieving time: 65.41 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 5.74 hours.
Total square root time: 0.55 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3600000,3600000,28,28,48,48,2.3,2.3,100000
total time: 72.01 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

86×10166+319

c121

name 名前Robert Backstrom
date 日付January 21, 2008 11:38:34 UTC 2008 年 1 月 21 日 (月) 20 時 38 分 34 秒 (日本時間)
composite number 合成数
6855363546478120852508823668140569336220438309449632211103825793414564211312811099648902774037863458800459081558030206887<121>
prime factors 素因数
4207775080549597799925358625476582357997273<43>
1629213400252065933172781543589693668667463228952759374791851515131060589281919<79>
factorization results 素因数分解の結果
Number: n
N=6855363546478120852508823668140569336220438309449632211103825793414564211312811099648902774037863458800459081558030206887
  ( 121 digits)
SNFS difficulty: 167 digits.
Divisors found:

Mon Jan 21 21:03:17 2008  prp43 factor: 4207775080549597799925358625476582357997273
Mon Jan 21 21:03:17 2008  prp79 factor: 1629213400252065933172781543589693668667463228952759374791851515131060589281919
Mon Jan 21 21:03:17 2008  elapsed time 02:50:05 (Msieve 1.33)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 117.31 hours.
Scaled time: 153.56 units (timescale=1.309).
Factorization parameters were as follows:
name: KA_9_5_165_9
n: 6855363546478120852508823668140569336220438309449632211103825793414564211312811099648902774037863458800459081558030206887
skew: 0.51
deg: 5
c5: 860
c0: 31
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5110037)
Primes: RFBsize:230209, AFBsize:230038, largePrimes:7978220 encountered
Relations: rels:7387955, finalFF:484643
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 116.89 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 117.31 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

86×10170+319

c156

name 名前Serge Batalov
date 日付October 5, 2008 21:12:02 UTC 2008 年 10 月 6 日 (月) 6 時 12 分 2 秒 (日本時間)
composite number 合成数
107838356161649026351577516693291315248999841606208829510603234036113769212515591345037604034970771261765500380483485337838846613658594572419135364160518571<156>
prime factors 素因数
73044612100303015021615574110453666513439422703861<50>
1476335530587363807889463028248959534110527268122976885451689164688958624422893045288065598247542738990111<106>
factorization results 素因数分解の結果
SNFS difficulty: 171 digits.
Divisors found:
 r1=73044612100303015021615574110453666513439422703861
 r2=1476335530587363807889463028248959534110527268122976885451689164688958624422893045288065598247542738990111
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.731).
Factorization parameters were as follows:
n: 107838356161649026351577516693291315248999841606208829510603234036113769212515591345037604034970771261765500380483485337838846613658594572419135364160518571
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 86
c0: 31
skew: 0.82
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 5500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1061379 x 1061627
Total sieving time: 0.00 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,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Serge BatalovOctober 2, 2008 19:19:11 UTC 2008 年 10 月 3 日 (金) 4 時 19 分 11 秒 (日本時間)

86×10171+319

c120

name 名前Jo Yeong Uk
date 日付January 9, 2008 16:07:26 UTC 2008 年 1 月 10 日 (木) 1 時 7 分 26 秒 (日本時間)
composite number 合成数
467419783235629658103214304014991608228915825261793443002931643083874160506685464483702892779307242690217664321338148529<120>
prime factors 素因数
1096966381258354525082396230206423839135069<43>
426102195310162589018569755129159308229685168412082711285523685052681229610341<78>
factorization results 素因数分解の結果
Number: 95559_171
N=467419783235629658103214304014991608228915825261793443002931643083874160506685464483702892779307242690217664321338148529
  ( 120 digits)
Divisors found:
 r1=1096966381258354525082396230206423839135069 (pp43)
 r2=426102195310162589018569755129159308229685168412082711285523685052681229610341 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 48.00 hours.
Scaled time: 103.06 units (timescale=2.147).
Factorization parameters were as follows:
name: 95559_171
n: 467419783235629658103214304014991608228915825261793443002931643083874160506685464483702892779307242690217664321338148529
skew: 34824.01
# norm 1.82e+16
c5: 30660
c4: -7605601439
c3: -528135056994814
c2: 12643616123032503853
c1: -80969674776601688470101
c0: 4409842209862057154181171
# alpha -4.95
Y1: 1049506019249
Y0: -108799574192722567741550
# Murphy_E 2.79e-10
# M 391493396307864520630205026286345938563037358745772478822904461270085767891754310654812573400414010370216518282741011494
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4800001)
Primes: RFBsize:315948, AFBsize:316768, largePrimes:7779738 encountered
Relations: rels:7883829, finalFF:717826
Max relations in full relation-set: 28
Initial matrix: 632799 x 717826 with sparse part having weight 68095105.
Pruned matrix : 566163 x 569390 with weight 50169037.
Total sieving time: 45.46 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,75000
total time: 48.00 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406450)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4809.83 BogoMIPS (lpj=2404916)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
execution environment 実行環境
Core 2 Quad Q6600

86×10175+319

c133

name 名前Warut Roonguthai
date 日付January 26, 2012 13:10:12 UTC 2012 年 1 月 26 日 (木) 22 時 10 分 12 秒 (日本時間)
composite number 合成数
1534842682831474675191613986513705075285853096908253230732277917454586669752032261197652469052432398524331417918409196804434169528839<133>
prime factors 素因数
513634103682315240559390237902805629502119438286513<51>
2988202441831590390432340655632538495808895429649181737017457365984252178264386103<82>
factorization results 素因数分解の結果
N = 1534842682831474675191613986513705075285853096908253230732277917454586669752032261197652469052432398524331417918409196804434169528839 (133 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=513634103682315240559390237902805629502119438286513 (pp51)
r2=2988202441831590390432340655632538495808895429649181737017457365984252178264386103 (pp82)
Version: Msieve v. 1.48
Total time: 32.11 hours.
Factorization parameters were as follows:
name: (86*10^175+31)/9
n: 1534842682831474675191613986513705075285853096908253230732277917454586669752032261197652469052432398524331417918409196804434169528839
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 31
c1: 0
c2: 0
c3: 0
c4: 0
c5: 86
skew: 0.82
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20369355
Relations: 2338168 relations
Pruned matrix : 1330961 x 1331185
Polynomial selection time: 0.00 hours.
Total sieving time: 29.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.22 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 32.11 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 06:59:32 UTC 2009 年 3 月 6 日 (金) 15 時 59 分 32 秒 (日本時間)
255e4204Max DettweilerMarch 10, 2009 21:27:27 UTC 2009 年 3 月 11 日 (水) 6 時 27 分 27 秒 (日本時間)
3025e4403Max DettweilerMarch 10, 2009 22:11:07 UTC 2009 年 3 月 11 日 (水) 7 時 11 分 7 秒 (日本時間)
351e6828279Max DettweilerMarch 10, 2009 23:43:45 UTC 2009 年 3 月 11 日 (水) 8 時 43 分 45 秒 (日本時間)
549Max DettweilerMarch 11, 2009 01:14:37 UTC 2009 年 3 月 11 日 (水) 10 時 14 分 37 秒 (日本時間)
403e6770Ignacio SantosJune 23, 2011 22:35:22 UTC 2011 年 6 月 24 日 (金) 7 時 35 分 22 秒 (日本時間)
4511e64460240Dmitry DomanovDecember 9, 2010 18:02:53 UTC 2010 年 12 月 10 日 (金) 3 時 2 分 53 秒 (日本時間)
220Ignacio SantosJune 23, 2011 22:35:22 UTC 2011 年 6 月 24 日 (金) 7 時 35 分 22 秒 (日本時間)
4000Wataru SakaiSeptember 8, 2011 09:35:52 UTC 2011 年 9 月 8 日 (木) 18 時 35 分 52 秒 (日本時間)
5043e661 / 6518Ignacio SantosJune 23, 2011 22:35:22 UTC 2011 年 6 月 24 日 (金) 7 時 35 分 22 秒 (日本時間)

86×10179+319

c142

name 名前Dmitry Domanov
date 日付July 14, 2012 15:11:14 UTC 2012 年 7 月 15 日 (日) 0 時 11 分 14 秒 (日本時間)
composite number 合成数
1564729221160690840180675501546388919552358971159291504060163973112140540486495852585796073536816273513606954473923841756335893925588760663087<142>
prime factors 素因数
649448246168832907850547772546934571197514340171426127<54>
2409320881827307590814134217581733986859946326934246049409559955907783851434805787848481<88>
factorization results 素因数分解の結果
Number: x3
N=1564729221160690840180675501546388919552358971159291504060163973112140540486495852585796073536816273513606954473923841756335893925588760663087
  ( 142 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=649448246168832907850547772546934571197514340171426127 (pp54)
 r2=2409320881827307590814134217581733986859946326934246049409559955907783851434805787848481 (pp88)
Version: Msieve-1.40
Total time: 153.78 hours.
Scaled time: 301.87 units (timescale=1.963).
Factorization parameters were as follows:
n: 1564729221160690840180675501546388919552358971159291504060163973112140540486495852585796073536816273513606954473923841756335893925588760663087
m: 1000000000000000000000000000000000000
deg: 5
c5: 43
c0: 155
skew: 1.29
# Murphy_E = 9.701e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 6150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1050479 x 1050704
Total sieving time: 152.25 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.13 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 153.78 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
2011e374Max DettweilerMarch 6, 2009 07:00:02 UTC 2009 年 3 月 6 日 (金) 16 時 0 分 2 秒 (日本時間)
255e40--
3025e40--
351e6904Max DettweilerMarch 11, 2009 04:05:02 UTC 2009 年 3 月 11 日 (水) 13 時 5 分 2 秒 (日本時間)
403e60 / 1276--
4511e6240 / 4439Dmitry DomanovDecember 9, 2010 18:02:12 UTC 2010 年 12 月 10 日 (金) 3 時 2 分 12 秒 (日本時間)

86×10180+319

c135

name 名前Robert Backstrom
date 日付June 4, 2012 05:34:39 UTC 2012 年 6 月 4 日 (月) 14 時 34 分 39 秒 (日本時間)
composite number 合成数
454682701328832047422439439762861376182306817434707983231009509744787857671252973944775606457818184048927380036470389248141087745913683<135>
prime factors 素因数
42547678325179839491327261953357735360321611613<47>
10686428007982506191079662408542102119843195137820283106665868088141809092173448236321391<89>
factorization results 素因数分解の結果
Number: n
N=454682701328832047422439439762861376182306817434707983231009509744787857671252973944775606457818184048927380036470389248141087745913683
  ( 135 digits)
Divisors found:

Mon Jun  4 15:17:03 2012  prp47 factor: 42547678325179839491327261953357735360321611613
Mon Jun  4 15:17:03 2012  prp89 factor: 10686428007982506191079662408542102119843195137820283106665868088141809092173448236321391
Mon Jun  4 15:17:03 2012  elapsed time 02:49:47 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.292).
Factorization parameters were as follows:
name: KA_95559_180
n: 454682701328832047422439439762861376182306817434707983231009509744787857671252973944775606457818184048927380036470389248141087745913683
skew: 91114.34
# norm 2.26e+18
c5: 95160
c4: 732486384910
c3: 15628246161395473
c2: -6354321722514820530213
c1: -277570735511828317998296197
c0: 39928020411625383835765861307
# alpha -5.58
Y1: 492079760392451
Y0: -86267455003628445879601554
# Murphy_E 3.64e-11
# M 147302675569714039450284408252995586903988740448844542751517936759202107793107854261409174707529842237120125191441728019467306486072866
type: gnfs
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 13260000)
Primes: RFBsize:970704, AFBsize:969899,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2921028 hash collisions in 26812125 relations (24861162 unique)
Msieve: matrix is 1386868 x 1387099 (400.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15000000,15000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 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
2011e374Max DettweilerMarch 6, 2009 07:00:26 UTC 2009 年 3 月 6 日 (金) 16 時 0 分 26 秒 (日本時間)
255e40--
3025e460Rich DickersonSeptember 25, 2010 14:47:56 UTC 2010 年 9 月 25 日 (土) 23 時 47 分 56 秒 (日本時間)
351e6100Rich DickersonSeptember 25, 2010 14:56:38 UTC 2010 年 9 月 25 日 (土) 23 時 56 分 38 秒 (日本時間)
403e61180300Rich DickersonSeptember 25, 2010 16:09:01 UTC 2010 年 9 月 26 日 (日) 1 時 9 分 1 秒 (日本時間)
110Ignacio SantosSeptember 25, 2010 16:44:11 UTC 2010 年 9 月 26 日 (日) 1 時 44 分 11 秒 (日本時間)
770Ignacio SantosJune 24, 2011 06:15:21 UTC 2011 年 6 月 24 日 (金) 15 時 15 分 21 秒 (日本時間)
4511e6492 / 400132Ignacio SantosSeptember 25, 2010 16:44:11 UTC 2010 年 9 月 26 日 (日) 1 時 44 分 11 秒 (日本時間)
240Dmitry DomanovDecember 9, 2010 18:02:00 UTC 2010 年 12 月 10 日 (金) 3 時 2 分 0 秒 (日本時間)
220Ignacio SantosJune 24, 2011 06:15:21 UTC 2011 年 6 月 24 日 (金) 15 時 15 分 21 秒 (日本時間)
5043e661 / 7398Ignacio SantosJune 24, 2011 06:15:21 UTC 2011 年 6 月 24 日 (金) 15 時 15 分 21 秒 (日本時間)

86×10181+319

c175

name 名前matsui
date 日付February 26, 2009 11:59:04 UTC 2009 年 2 月 26 日 (木) 20 時 59 分 4 秒 (日本時間)
composite number 合成数
8418218092870897903880335538818376034304121264940636341132313176468061618263234097127070662630346440900237586586145040200760014348950625555339324814077046096605885076424744013<175>
prime factors 素因数
32928690580332125411741090087710651306629243139878707<53>
255649949770519847347395270618009705435442504020620821952131412204032479590771377721477095985577060681219537413453936952959<123>
factorization results 素因数分解の結果
N=8418218092870897903880335538818376034304121264940636341132313176468061618263234097127070662630346440900237586586145040200760014348950625555339324814077046096605885076424744013
  ( 175 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=32928690580332125411741090087710651306629243139878707 (pp53)
 r2=255649949770519847347395270618009705435442504020620821952131412204032479590771377721477095985577060681219537413453936952959 (pp123)
Version: GGNFS-0.77.1-20060722-nocona

86×10182+319

c183

name 名前Robert Backstrom
date 日付September 25, 2007 02:03:30 UTC 2007 年 9 月 25 日 (火) 11 時 3 分 30 秒 (日本時間)
composite number 合成数
136507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937<183>
prime factors 素因数
219254706609281472076564248230371923805632108973<48>
667127665052517179233067332728168025449200965073<48>
933254357035504554827120249606468833406095139378559205785196446817284884193061670441653<87>
factorization results 素因数分解の結果
Number: n
N=136507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937
  ( 183 digits)
SNFS difficulty: 183 digits.
Divisors found:

(Completed by MSIEVE 1.26)

Tue Sep 25 08:11:44 2007  prp48 factor: 219254706609281472076564248230371923805632108973
Tue Sep 25 08:11:44 2007  prp48 factor: 667127665052517179233067332728168025449200965073
Tue Sep 25 08:11:44 2007  prp87 factor: 933254357035504554827120249606468833406095139378559205785196446817284884193061670441653

Version: GGNFS-0.77.1-20051202-athlon
Total time: 760.78 hours.
Scaled time: 1004.23 units (timescale=1.320).
Factorization parameters were as follows:
name: KA_9_5_181_9
n: 136507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937
skew: 0.32
deg: 5
c5: 8600
c0: 31
m: 1000000000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 10800000)
Primes: RFBsize:283146, AFBsize:283738, largePrimes:9358417 encountered
Relations: rels:9011426, finalFF:643650
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 759.81 hours.
Total relation processing time: 0.97 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,48,48,2.5,2.5,100000
total time: 760.78 hours.
 --------- CPU info (if available) ----------

Mem Alloc Error by GGNFS

...
[09/24 14:06:36] GGNFS-0.77.1-20051202-athlon : matbuild
[09/24 14:07:59] largePrimes: 9358417 , relations: 9011426
[09/24 14:18:34] reduceRelSets dropped relation-set weight from 19495262 to 15297055.
[09/24 14:24:25] reduceRelSets dropped relation-set weight from 15297055 to 15246628.
[09/24 14:24:25] After removing heavy rel-sets, weight is 13333792.
[09/24 14:32:44] Heap stats for matbuild run, after cycle-building
[09/24 14:32:44] Max heap usage: 460 MB
[09/24 14:32:44] malloc/realloc errors: 0
[09/24 14:32:44] total malloc's : 515
[09/24 14:32:44] total realloc's: 219
[09/24 14:32:44] rels:9011426, initialFF:0, finalFF:643650
[09/24 14:32:52] Memory allocation error (721935180 bytes requested).
...

Linear Algebra completed by MSIEVE 1.26

...
Tue Sep 25 07:49:04 2007  reading relations for dependency 2
Tue Sep 25 07:49:04 2007  read 390086 cycles
Tue Sep 25 07:49:05 2007  cycles contain 1234166 unique relations
Tue Sep 25 07:50:17 2007  read 1234166 relations
Tue Sep 25 07:50:29 2007  multiplying 1849254 relations
Tue Sep 25 07:56:56 2007  multiply complete, coefficients have about 64.93 million bits
Tue Sep 25 07:56:58 2007  initial square root is modulo 2099293891
Tue Sep 25 08:11:44 2007  prp48 factor: 219254706609281472076564248230371923805632108973
Tue Sep 25 08:11:44 2007  prp48 factor: 667127665052517179233067332728168025449200965073
Tue Sep 25 08:11:44 2007  prp87 factor: 933254357035504554827120249606468833406095139378559205785196446817284884193061670441653
Tue Sep 25 08:11:44 2007  elapsed time 05:11:32

Cygwin on AMD 64 3200+

86×10183+319

c178

name 名前Wataru Sakai
date 日付August 21, 2010 10:50:07 UTC 2010 年 8 月 21 日 (土) 19 時 50 分 7 秒 (日本時間)
composite number 合成数
1437216764892912226815800968339835987162445619519556150028517890098273372900579343749110617677829713109641239444374004111141844153327832803961276901585261789952875500579674643203<178>
prime factors 素因数
5427739629287786328619350287476315755794840846097553409270363429159376759441307121<82>
264791029609778834981228434349149607718496812659787934643495844676775024218198523854477363797043<96>
factorization results 素因数分解の結果
Number: 95559_183
N=1437216764892912226815800968339835987162445619519556150028517890098273372900579343749110617677829713109641239444374004111141844153327832803961276901585261789952875500579674643203
  ( 178 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=5427739629287786328619350287476315755794840846097553409270363429159376759441307121
 r2=264791029609778834981228434349149607718496812659787934643495844676775024218198523854477363797043
Version: 
Total time: 311.49 hours.
Scaled time: 624.85 units (timescale=2.006).
Factorization parameters were as follows:
n: 1437216764892912226815800968339835987162445619519556150028517890098273372900579343749110617677829713109641239444374004111141844153327832803961276901585261789952875500579674643203
m: 1000000000000000000000000000000000000
deg: 5
c5: 86000
c0: 31
skew: 0.20
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor 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, 8350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1731850 x 1732097
Total sieving time: 311.49 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,184,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 311.49 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
2011e374Max DettweilerMarch 6, 2009 07:01:00 UTC 2009 年 3 月 6 日 (金) 16 時 1 分 0 秒 (日本時間)
255e40--
3025e40--
351e6420120Serge BatalovJune 18, 2010 05:51:01 UTC 2010 年 6 月 18 日 (金) 14 時 51 分 1 秒 (日本時間)
300Ignacio SantosJune 19, 2010 18:40:05 UTC 2010 年 6 月 20 日 (日) 3 時 40 分 5 秒 (日本時間)
403e62125110Ignacio SantosJune 19, 2010 18:40:05 UTC 2010 年 6 月 20 日 (日) 3 時 40 分 5 秒 (日本時間)
2015Wataru SakaiJune 27, 2010 01:10:17 UTC 2010 年 6 月 27 日 (日) 10 時 10 分 17 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 19, 2010 18:40:05 UTC 2010 年 6 月 20 日 (日) 3 時 40 分 5 秒 (日本時間)

86×10185+319

c129

name 名前Erik Branger
date 日付November 2, 2010 16:11:05 UTC 2010 年 11 月 3 日 (水) 1 時 11 分 5 秒 (日本時間)
composite number 合成数
787244138386490929876920510164611857119065256566549011183789719145870310160312863127858597915954078318413882086128479743889883711<129>
prime factors 素因数
284231387841423423467284234134507435354034933<45>
2769729776732839920522561888097617138632831567361517299220702232247808828889725290467<85>
factorization results 素因数分解の結果
Number: 95559_185
N = 787244138386490929876920510164611857119065256566549011183789719145870310160312863127858597915954078318413882086128479743889883711 (129 digits)
Divisors found:
r1=284231387841423423467284234134507435354034933 (pp45)
r2=2769729776732839920522561888097617138632831567361517299220702232247808828889725290467 (pp85)
Version: Msieve v. 1.47
Total time: 89.33 hours.
Factorization parameters were as follows:
# Murphy_E = 8.923158e-11, selected by Jeff Gilchrist
n: 787244138386490929876920510164611857119065256566549011183789719145870310160312863127858597915954078318413882086128479743889883711
Y0: -7715118083049905073258985
Y1: 173676925309853
c0: -3944056329997987017880913756364288
c1: 17640317315402272449134041812
c2: 40732910165937384211472
c3: -70730198278169213
c4: 11962897560
c5: 28800
skew: 893901.51
type: gnfs
# selected mechanically
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4550000, 8850000)
Relations: 17393680
Relations in full relation-set: 2126086 relations
Pruned matrix : 1260748 x 1260976
Polynomial selection time: 0.00 hours.
Total sieving time: 87.77 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.26 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,9100000,9100000,28,28,53,53,2.5,2.5,100000
total time: 89.33 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Erik BrangerJanuary 28, 2009 14:39:46 UTC 2009 年 1 月 28 日 (水) 23 時 39 分 46 秒 (日本時間)
403e62104Wataru SakaiDecember 6, 2009 06:19:58 UTC 2009 年 12 月 6 日 (日) 15 時 19 分 58 秒 (日本時間)

86×10186+319

c153

name 名前Dmitry Domanov
date 日付July 6, 2012 16:10:59 UTC 2012 年 7 月 7 日 (土) 1 時 10 分 59 秒 (日本時間)
composite number 合成数
301941681653707975406610404777737074130895633293006003694588871320664387225142224896482039657440024594854704203228292466932841985317631140105570580825937<153>
prime factors 素因数
70068382406973690629178472845018853989673<41>
11054838189078614352147862342019374330578614677<47>
389806061240846520546272740470946732729921808275519322386530401797<66>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4253998806
Step 1 took 16529ms
Step 2 took 7440ms
********** Factor found in step 2: 70068382406973690629178472845018853989673
Found probable prime factor of 41 digits: 70068382406973690629178472845018853989673
Composite cofactor 4309242932139627192990468135260526927557454366290949496789305328730212252603351882611793995863388828596451374569 has 112 digits

N=4309242932139627192990468135260526927557454366290949496789305328730212252603351882611793995863388828596451374569
  ( 112 digits)
Divisors found:
 r1=11054838189078614352147862342019374330578614677 (pp47)
 r2=389806061240846520546272740470946732729921808275519322386530401797 (pp66)
Version: Msieve v. 1.48
Total time: 2.51 hours.
Scaled time: 2.46 units (timescale=0.980).
Factorization parameters were as follows:
name: 112
n: 4309242932139627192990468135260526927557454366290949496789305328730212252603351882611793995863388828596451374569
skew: 20046.56
# norm 7.51e+14
c5: 19200
c4: -2577544437
c3: -6221946594026
c2: 942536246017810537
c1: 2660936978115897904981
c0: -43392509262725845576999410
# alpha -4.97
Y1: 133465682537
Y0: -2952707838236451085981
# Murphy_E 8.01e-10
# M 4020878987457211067692504319375755079469493773362893665419107317504768690484412393532295584338919112842757042412
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 405877 x 406111
Polynomial selection time: 1.89 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 2.51 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
2011e374Max DettweilerMarch 6, 2009 07:01:37 UTC 2009 年 3 月 6 日 (金) 16 時 1 分 37 秒 (日本時間)
255e40--
3025e460Rich DickersonSeptember 25, 2010 15:40:00 UTC 2010 年 9 月 26 日 (日) 0 時 40 分 0 秒 (日本時間)
351e6400100Rich DickersonSeptember 25, 2010 15:50:37 UTC 2010 年 9 月 26 日 (日) 0 時 50 分 37 秒 (日本時間)
300Ignacio SantosSeptember 25, 2010 17:17:03 UTC 2010 年 9 月 26 日 (日) 2 時 17 分 3 秒 (日本時間)
403e6410 / 749110Ignacio SantosSeptember 25, 2010 17:17:03 UTC 2010 年 9 月 26 日 (日) 2 時 17 分 3 秒 (日本時間)
300Rich DickersonSeptember 25, 2010 17:18:56 UTC 2010 年 9 月 26 日 (日) 2 時 18 分 56 秒 (日本時間)
4511e6432 / 437132Ignacio SantosSeptember 25, 2010 17:17:03 UTC 2010 年 9 月 26 日 (日) 2 時 17 分 3 秒 (日本時間)
400Dmitry DomanovDecember 9, 2010 18:01:11 UTC 2010 年 12 月 10 日 (金) 3 時 1 分 11 秒 (日本時間)

86×10187+319

c186

name 名前Robert Backstrom
date 日付October 19, 2008 19:16:13 UTC 2008 年 10 月 20 日 (月) 4 時 16 分 13 秒 (日本時間)
composite number 合成数
170330758566052683699742523271935036640918993860170330758566052683699742523271935036640918993860170330758566052683699742523271935036640918993860170330758566052683699742523271935036640919<186>
prime factors 素因数
82497070342294097847760872671048101547273<41>
1137506622062276258802403675541190635066970154120153739009283317<64>
1815100267956222784484327964833504354369950932271791040395824755849419204499493059<82>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 170330758566052683699742523271935036640918993860170330758566052683699742523271935036640918993860170330758566052683699742523271935036640918993860170330758566052683699742523271935036640919 (186 digits)
Using B1=6498000, B2=14271500890, polynomial Dickson(12), sigma=3182954353
Step 1 took 110706ms
Step 2 took 38266ms
********** Factor found in step 2: 82497070342294097847760872671048101547273
Found probable prime factor of 41 digits: 82497070342294097847760872671048101547273
Composite cofactor 2064688574507215477497755904533791903970653712003879148874388035763738505270729759860310938616946784208098286504015093167178563384654221405996703 has 145 digits


Number: n
N=2064688574507215477497755904533791903970653712003879148874388035763738505270729759860310938616946784208098286504015093167178563384654221405996703
  ( 145 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Oct 20 06:06:17 2008  prp64 factor: 1137506622062276258802403675541190635066970154120153739009283317
Mon Oct 20 06:06:17 2008  prp82 factor: 1815100267956222784484327964833504354369950932271791040395824755849419204499493059
Mon Oct 20 06:06:17 2008  elapsed time 14:04:55 (Msieve 1.38)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 73.18 hours.
Scaled time: 95.50 units (timescale=1.305).
Factorization parameters were as follows:
name: KA_9_5_186_9
n: 2064688574507215477497755904533791903970653712003879148874388035763738505270729759860310938616946784208098286504015093167178563384654221405996703

# n: 170330758566052683699742523271935036640918993860170330758566052683699742523271935036640918993860170330758566052683699742523271935036640918993860170330758566052683699742523271935036640919

type: snfs
skew: 0.32
deg: 5
c5: 8600
c0: 31
m: 10000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 4600001)
Primes: RFBsize:602489, AFBsize:602751, largePrimes:14634264 encountered
Relations: rels:14608986, finalFF:1232635
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 72.49 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,52,52,2.5,2.5,100000
total time: 73.18 hours.
 --------- CPU info (if available) ----------

86×10188+319

c180

name 名前Robert Backstrom
date 日付January 27, 2012 04:31:37 UTC 2012 年 1 月 27 日 (金) 13 時 31 分 37 秒 (日本時間)
composite number 合成数
320872391643201327430219916154728486825756017041072007113212005633967147498016146088538758621285093463639160865859363347857809067886345191398333815028273544119667472330640964470507<180>
prime factors 素因数
93402484383333882239411002423459564115555017<44>
49468362553742326611135601031538365545144870710397185828627037<62>
69445864436001012562409242435193295688019117000648618923836748858130644783<74>
factorization results 素因数分解の結果
Many Msieve ERRORS:

Number: n
N=320872391643201327430219916154728486825756017041072007113212005633967147498016146088538758621285093463639160865859363347857809067886345191398333815028273544119667472330640964470507
  ( 180 digits)
SNFS difficulty: 189 digits.
Divisors found:

Fri Jan 27 15:14:16 2012  prp44 factor: 93402484383333882239411002423459564115555017
Fri Jan 27 15:14:16 2012  prp62 factor: 49468362553742326611135601031538365545144870710397185828627037
Fri Jan 27 15:14:16 2012  prp74 factor: 69445864436001012562409242435193295688019117000648618923836748858130644783
Fri Jan 27 15:14:16 2012  elapsed time 06:22:04 (Msieve 1.44 - dependency 11)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.662).
Factorization parameters were as follows:
name: KA_95559_188
n: 320872391643201327430219916154728486825756017041072007113212005633967147498016146088538758621285093463639160865859363347857809067886345191398333815028273544119667472330640964470507
m: 10000000000000000000000000000000000000
deg: 5
c5: 86000
c0: 31
skew: 0.20
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9306232 hash collisions in 77000069 relations
Msieve: matrix is 1309591 x 1309819 (370.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).


Had to wait for dependency 11, many Msieve errors:


Fri Jan 27 08:52:12 2012  
Fri Jan 27 08:52:12 2012  
Fri Jan 27 08:52:12 2012  Msieve v. 1.44
Fri Jan 27 08:52:12 2012  random seeds: c99e5cb6 30cb654f
Fri Jan 27 08:52:12 2012  factoring 320872391643201327430219916154728486825756017041072007113212005633967147498016146088538758621285093463639160865859363347857809067886345191398333815028273544119667472330640964470507 (180 digits)
Fri Jan 27 08:52:14 2012  no P-1/P+1/ECM available, skipping
Fri Jan 27 08:52:14 2012  commencing number field sieve (180-digit input)
Fri Jan 27 08:52:14 2012  R0: -10000000000000000000000000000000000000
Fri Jan 27 08:52:14 2012  R1:  1
Fri Jan 27 08:52:14 2012  A0:  31
Fri Jan 27 08:52:14 2012  A1:  0
Fri Jan 27 08:52:14 2012  A2:  0
Fri Jan 27 08:52:14 2012  A3:  0
Fri Jan 27 08:52:14 2012  A4:  0
Fri Jan 27 08:52:14 2012  A5:  86000
Fri Jan 27 08:52:14 2012  skew 1.00, size 2.363341e-13, alpha -1.229093, combined = 3.267826e-11
Fri Jan 27 08:52:14 2012  
Fri Jan 27 08:52:14 2012  commencing relation filtering
Fri Jan 27 08:52:14 2012  estimated available RAM is 5922.2 MB
Fri Jan 27 08:52:14 2012  commencing duplicate removal, pass 1
Fri Jan 27 08:52:27 2012  error -11 reading relation 2213007
Fri Jan 27 08:52:27 2012  error -11 reading relation 2213008
Fri Jan 27 08:52:32 2012  error -11 reading relation 3063594
Fri Jan 27 08:52:32 2012  error -11 reading relation 3063595
Fri Jan 27 08:52:36 2012  error -11 reading relation 3702930
Fri Jan 27 08:53:15 2012  error -11 reading relation 10373308
Fri Jan 27 08:53:19 2012  error -11 reading relation 11035428
Fri Jan 27 08:53:37 2012  error -11 reading relation 14098171
Fri Jan 27 08:53:37 2012  error -11 reading relation 14098172
Fri Jan 27 08:53:38 2012  error -11 reading relation 14277757
Fri Jan 27 08:53:43 2012  error -11 reading relation 14989030
Fri Jan 27 08:53:43 2012  error -11 reading relation 14989031
Fri Jan 27 08:54:00 2012  error -11 reading relation 17857249
Fri Jan 27 08:54:20 2012  error -6 reading relation 21197743
Fri Jan 27 08:54:52 2012  error -11 reading relation 26395344
Fri Jan 27 08:54:57 2012  error -11 reading relation 27179469
Fri Jan 27 08:54:58 2012  error -11 reading relation 27497200
Fri Jan 27 08:55:08 2012  error -6 reading relation 29113120
Fri Jan 27 08:55:26 2012  error -6 reading relation 32079422
Fri Jan 27 08:55:35 2012  error -11 reading relation 33704723
Fri Jan 27 08:55:36 2012  error -11 reading relation 33874441
Fri Jan 27 08:55:42 2012  error -11 reading relation 34917541
Fri Jan 27 08:56:44 2012  error -6 reading relation 45236087
Fri Jan 27 08:56:47 2012  error -11 reading relation 45784187
Fri Jan 27 08:57:19 2012  error -11 reading relation 51199034
Fri Jan 27 08:57:23 2012  error -11 reading relation 51823048
Fri Jan 27 08:58:02 2012  error -11 reading relation 58341149
Fri Jan 27 08:58:34 2012  error -6 reading relation 64356587
Fri Jan 27 08:58:55 2012  error -11 reading relation 67935889
Fri Jan 27 08:59:18 2012  error -11 reading relation 71924632
Fri Jan 27 08:59:46 2012  error -11 reading relation 76624779
Fri Jan 27 08:59:48 2012  found 9306232 hash collisions in 77000069 relations
Fri Jan 27 09:00:24 2012  added 731404 free relations
Fri Jan 27 09:00:24 2012  commencing duplicate removal, pass 2
Fri Jan 27 09:01:24 2012  found 5766738 duplicates and 71964735 unique relations
Fri Jan 27 09:01:24 2012  memory use: 330.4 MB
Fri Jan 27 09:01:24 2012  reading ideals above 24969216
Fri Jan 27 09:01:24 2012  commencing singleton removal, initial pass
Fri Jan 27 09:09:42 2012  memory use: 1378.0 MB
Fri Jan 27 09:09:42 2012  reading all ideals from disk
Fri Jan 27 09:09:49 2012  memory use: 1234.0 MB
Fri Jan 27 09:09:52 2012  commencing in-memory singleton removal
Fri Jan 27 09:09:55 2012  begin with 71964735 relations and 46229263 unique ideals
Fri Jan 27 09:10:22 2012  reduce to 58608498 relations and 32153222 ideals in 8 passes
Fri Jan 27 09:10:22 2012  max relations containing the same ideal: 35
Fri Jan 27 09:10:25 2012  reading ideals above 720000
Fri Jan 27 09:10:26 2012  commencing singleton removal, initial pass
Fri Jan 27 09:18:24 2012  memory use: 753.0 MB
Fri Jan 27 09:18:25 2012  reading all ideals from disk
Fri Jan 27 09:18:40 2012  memory use: 1956.1 MB
Fri Jan 27 09:18:46 2012  keeping 34967653 ideals with weight <= 200, target excess is 313227
Fri Jan 27 09:18:52 2012  commencing in-memory singleton removal
Fri Jan 27 09:18:57 2012  begin with 58608504 relations and 34967653 unique ideals
Fri Jan 27 09:19:07 2012  reduce to 58608498 relations and 34967634 ideals in 2 passes
Fri Jan 27 09:19:07 2012  max relations containing the same ideal: 200
Fri Jan 27 09:19:26 2012  removing 1800902 relations and 1400902 ideals in 400000 cliques
Fri Jan 27 09:19:28 2012  commencing in-memory singleton removal
Fri Jan 27 09:19:32 2012  begin with 56807596 relations and 34967634 unique ideals
Fri Jan 27 09:19:57 2012  reduce to 56779932 relations and 33538832 ideals in 5 passes
Fri Jan 27 09:19:57 2012  max relations containing the same ideal: 200
Fri Jan 27 09:20:15 2012  removing 1412155 relations and 1012155 ideals in 400000 cliques
Fri Jan 27 09:20:17 2012  commencing in-memory singleton removal
Fri Jan 27 09:20:21 2012  begin with 55367777 relations and 33538832 unique ideals
Fri Jan 27 09:20:45 2012  reduce to 55350781 relations and 32509563 ideals in 5 passes
Fri Jan 27 09:20:45 2012  max relations containing the same ideal: 198
Fri Jan 27 09:21:03 2012  removing 1259031 relations and 859031 ideals in 400000 cliques
Fri Jan 27 09:21:04 2012  commencing in-memory singleton removal
Fri Jan 27 09:21:09 2012  begin with 54091750 relations and 32509563 unique ideals
Fri Jan 27 09:21:27 2012  reduce to 54074924 relations and 31633578 ideals in 4 passes
Fri Jan 27 09:21:27 2012  max relations containing the same ideal: 196
Fri Jan 27 09:21:45 2012  removing 1204928 relations and 804928 ideals in 400000 cliques
Fri Jan 27 09:21:46 2012  commencing in-memory singleton removal
Fri Jan 27 09:21:50 2012  begin with 52869996 relations and 31633578 unique ideals
Fri Jan 27 09:22:13 2012  reduce to 52857005 relations and 30815574 ideals in 5 passes
Fri Jan 27 09:22:13 2012  max relations containing the same ideal: 194
Fri Jan 27 09:22:30 2012  removing 1165966 relations and 765966 ideals in 400000 cliques
Fri Jan 27 09:22:31 2012  commencing in-memory singleton removal
Fri Jan 27 09:22:35 2012  begin with 51691039 relations and 30815574 unique ideals
Fri Jan 27 09:22:53 2012  reduce to 51678264 relations and 30036730 ideals in 4 passes
Fri Jan 27 09:22:53 2012  max relations containing the same ideal: 191
Fri Jan 27 09:23:10 2012  removing 1116116 relations and 716116 ideals in 400000 cliques
Fri Jan 27 09:23:11 2012  commencing in-memory singleton removal
Fri Jan 27 09:23:15 2012  begin with 50562148 relations and 30036730 unique ideals
Fri Jan 27 09:23:32 2012  reduce to 50551934 relations and 29310333 ideals in 4 passes
Fri Jan 27 09:23:32 2012  max relations containing the same ideal: 189
Fri Jan 27 09:23:48 2012  removing 1087555 relations and 687555 ideals in 400000 cliques
Fri Jan 27 09:23:49 2012  commencing in-memory singleton removal
Fri Jan 27 09:23:53 2012  begin with 49464379 relations and 29310333 unique ideals
Fri Jan 27 09:24:10 2012  reduce to 49455226 relations and 28613565 ideals in 4 passes
Fri Jan 27 09:24:10 2012  max relations containing the same ideal: 187
Fri Jan 27 09:24:26 2012  removing 1042508 relations and 642508 ideals in 400000 cliques
Fri Jan 27 09:24:27 2012  commencing in-memory singleton removal
Fri Jan 27 09:24:31 2012  begin with 48412718 relations and 28613565 unique ideals
Fri Jan 27 09:24:47 2012  reduce to 48401390 relations and 27959667 ideals in 4 passes
Fri Jan 27 09:24:47 2012  max relations containing the same ideal: 186
Fri Jan 27 09:25:02 2012  removing 1028594 relations and 628594 ideals in 400000 cliques
Fri Jan 27 09:25:03 2012  commencing in-memory singleton removal
Fri Jan 27 09:25:07 2012  begin with 47372796 relations and 27959667 unique ideals
Fri Jan 27 09:25:23 2012  reduce to 47360891 relations and 27319081 ideals in 4 passes
Fri Jan 27 09:25:23 2012  max relations containing the same ideal: 184
Fri Jan 27 09:25:38 2012  removing 1012711 relations and 612711 ideals in 400000 cliques
Fri Jan 27 09:25:39 2012  commencing in-memory singleton removal
Fri Jan 27 09:25:43 2012  begin with 46348180 relations and 27319081 unique ideals
Fri Jan 27 09:25:58 2012  reduce to 46335210 relations and 26693290 ideals in 4 passes
Fri Jan 27 09:25:58 2012  max relations containing the same ideal: 180
Fri Jan 27 09:26:13 2012  removing 983461 relations and 583461 ideals in 400000 cliques
Fri Jan 27 09:26:14 2012  commencing in-memory singleton removal
Fri Jan 27 09:26:17 2012  begin with 45351749 relations and 26693290 unique ideals
Fri Jan 27 09:26:32 2012  reduce to 45336146 relations and 26094070 ideals in 4 passes
Fri Jan 27 09:26:32 2012  max relations containing the same ideal: 179
Fri Jan 27 09:26:46 2012  removing 957337 relations and 557337 ideals in 400000 cliques
Fri Jan 27 09:26:48 2012  commencing in-memory singleton removal
Fri Jan 27 09:26:51 2012  begin with 44378809 relations and 26094070 unique ideals
Fri Jan 27 09:27:06 2012  reduce to 44360988 relations and 25518681 ideals in 4 passes
Fri Jan 27 09:27:06 2012  max relations containing the same ideal: 175
Fri Jan 27 09:27:20 2012  removing 937680 relations and 537680 ideals in 400000 cliques
Fri Jan 27 09:27:21 2012  commencing in-memory singleton removal
Fri Jan 27 09:27:24 2012  begin with 43423308 relations and 25518681 unique ideals
Fri Jan 27 09:27:39 2012  reduce to 43408217 relations and 24965674 ideals in 4 passes
Fri Jan 27 09:27:39 2012  max relations containing the same ideal: 174
Fri Jan 27 09:27:52 2012  removing 915549 relations and 515549 ideals in 400000 cliques
Fri Jan 27 09:27:53 2012  commencing in-memory singleton removal
Fri Jan 27 09:27:57 2012  begin with 42492668 relations and 24965674 unique ideals
Fri Jan 27 09:28:11 2012  reduce to 42476514 relations and 24433669 ideals in 4 passes
Fri Jan 27 09:28:11 2012  max relations containing the same ideal: 171
Fri Jan 27 09:28:24 2012  removing 912419 relations and 512419 ideals in 400000 cliques
Fri Jan 27 09:28:25 2012  commencing in-memory singleton removal
Fri Jan 27 09:28:28 2012  begin with 41564095 relations and 24433669 unique ideals
Fri Jan 27 09:28:42 2012  reduce to 41548331 relations and 23905204 ideals in 4 passes
Fri Jan 27 09:28:42 2012  max relations containing the same ideal: 167
Fri Jan 27 09:28:55 2012  removing 907964 relations and 507964 ideals in 400000 cliques
Fri Jan 27 09:28:56 2012  commencing in-memory singleton removal
Fri Jan 27 09:28:59 2012  begin with 40640367 relations and 23905204 unique ideals
Fri Jan 27 09:29:13 2012  reduce to 40624733 relations and 23381350 ideals in 4 passes
Fri Jan 27 09:29:13 2012  max relations containing the same ideal: 166
Fri Jan 27 09:29:26 2012  removing 902135 relations and 502135 ideals in 400000 cliques
Fri Jan 27 09:29:27 2012  commencing in-memory singleton removal
Fri Jan 27 09:29:30 2012  begin with 39722598 relations and 23381350 unique ideals
Fri Jan 27 09:29:43 2012  reduce to 39707467 relations and 22863819 ideals in 4 passes
Fri Jan 27 09:29:43 2012  max relations containing the same ideal: 164
Fri Jan 27 09:29:55 2012  removing 897524 relations and 497524 ideals in 400000 cliques
Fri Jan 27 09:29:56 2012  commencing in-memory singleton removal
Fri Jan 27 09:29:59 2012  begin with 38809943 relations and 22863819 unique ideals
Fri Jan 27 09:30:12 2012  reduce to 38794929 relations and 22351046 ideals in 4 passes
Fri Jan 27 09:30:12 2012  max relations containing the same ideal: 159
Fri Jan 27 09:30:24 2012  removing 892992 relations and 492992 ideals in 400000 cliques
Fri Jan 27 09:30:25 2012  commencing in-memory singleton removal
Fri Jan 27 09:30:28 2012  begin with 37901937 relations and 22351046 unique ideals
Fri Jan 27 09:30:40 2012  reduce to 37887363 relations and 21843223 ideals in 4 passes
Fri Jan 27 09:30:40 2012  max relations containing the same ideal: 156
Fri Jan 27 09:30:52 2012  removing 886952 relations and 486952 ideals in 400000 cliques
Fri Jan 27 09:30:53 2012  commencing in-memory singleton removal
Fri Jan 27 09:30:55 2012  begin with 37000411 relations and 21843223 unique ideals
Fri Jan 27 09:31:07 2012  reduce to 36986013 relations and 21341576 ideals in 4 passes
Fri Jan 27 09:31:07 2012  max relations containing the same ideal: 154
Fri Jan 27 09:31:19 2012  removing 881702 relations and 481702 ideals in 400000 cliques
Fri Jan 27 09:31:20 2012  commencing in-memory singleton removal
Fri Jan 27 09:31:22 2012  begin with 36104311 relations and 21341576 unique ideals
Fri Jan 27 09:31:34 2012  reduce to 36089740 relations and 20845021 ideals in 4 passes
Fri Jan 27 09:31:34 2012  max relations containing the same ideal: 151
Fri Jan 27 09:31:45 2012  removing 877234 relations and 477234 ideals in 400000 cliques
Fri Jan 27 09:31:46 2012  commencing in-memory singleton removal
Fri Jan 27 09:31:49 2012  begin with 35212506 relations and 20845021 unique ideals
Fri Jan 27 09:32:00 2012  reduce to 35197254 relations and 20352248 ideals in 4 passes
Fri Jan 27 09:32:00 2012  max relations containing the same ideal: 150
Fri Jan 27 09:32:11 2012  removing 872541 relations and 472541 ideals in 400000 cliques
Fri Jan 27 09:32:12 2012  commencing in-memory singleton removal
Fri Jan 27 09:32:14 2012  begin with 34324713 relations and 20352248 unique ideals
Fri Jan 27 09:32:25 2012  reduce to 34309018 relations and 19863646 ideals in 4 passes
Fri Jan 27 09:32:25 2012  max relations containing the same ideal: 148
Fri Jan 27 09:32:36 2012  removing 868511 relations and 468511 ideals in 400000 cliques
Fri Jan 27 09:32:37 2012  commencing in-memory singleton removal
Fri Jan 27 09:32:39 2012  begin with 33440507 relations and 19863646 unique ideals
Fri Jan 27 09:32:50 2012  reduce to 33424036 relations and 19378241 ideals in 4 passes
Fri Jan 27 09:32:50 2012  max relations containing the same ideal: 144
Fri Jan 27 09:33:00 2012  removing 863559 relations and 463559 ideals in 400000 cliques
Fri Jan 27 09:33:01 2012  commencing in-memory singleton removal
Fri Jan 27 09:33:03 2012  begin with 32560477 relations and 19378241 unique ideals
Fri Jan 27 09:33:14 2012  reduce to 32543365 relations and 18897115 ideals in 4 passes
Fri Jan 27 09:33:14 2012  max relations containing the same ideal: 141
Fri Jan 27 09:33:24 2012  removing 860555 relations and 460555 ideals in 400000 cliques
Fri Jan 27 09:33:25 2012  commencing in-memory singleton removal
Fri Jan 27 09:33:27 2012  begin with 31682810 relations and 18897115 unique ideals
Fri Jan 27 09:33:37 2012  reduce to 31665319 relations and 18418573 ideals in 4 passes
Fri Jan 27 09:33:37 2012  max relations containing the same ideal: 140
Fri Jan 27 09:33:47 2012  removing 857224 relations and 457224 ideals in 400000 cliques
Fri Jan 27 09:33:47 2012  commencing in-memory singleton removal
Fri Jan 27 09:33:50 2012  begin with 30808095 relations and 18418573 unique ideals
Fri Jan 27 09:33:59 2012  reduce to 30789775 relations and 17942479 ideals in 4 passes
Fri Jan 27 09:33:59 2012  max relations containing the same ideal: 137
Fri Jan 27 09:34:09 2012  removing 853141 relations and 453141 ideals in 400000 cliques
Fri Jan 27 09:34:10 2012  commencing in-memory singleton removal
Fri Jan 27 09:34:12 2012  begin with 29936634 relations and 17942479 unique ideals
Fri Jan 27 09:34:21 2012  reduce to 29917990 relations and 17470076 ideals in 4 passes
Fri Jan 27 09:34:21 2012  max relations containing the same ideal: 135
Fri Jan 27 09:34:30 2012  removing 849025 relations and 449025 ideals in 400000 cliques
Fri Jan 27 09:34:31 2012  commencing in-memory singleton removal
Fri Jan 27 09:34:33 2012  begin with 29068965 relations and 17470076 unique ideals
Fri Jan 27 09:34:42 2012  reduce to 29048936 relations and 17000365 ideals in 4 passes
Fri Jan 27 09:34:42 2012  max relations containing the same ideal: 134
Fri Jan 27 09:34:51 2012  removing 846569 relations and 446569 ideals in 400000 cliques
Fri Jan 27 09:34:52 2012  commencing in-memory singleton removal
Fri Jan 27 09:34:54 2012  begin with 28202367 relations and 17000365 unique ideals
Fri Jan 27 09:35:03 2012  reduce to 28181678 relations and 16532393 ideals in 4 passes
Fri Jan 27 09:35:03 2012  max relations containing the same ideal: 130
Fri Jan 27 09:35:11 2012  removing 843460 relations and 443460 ideals in 400000 cliques
Fri Jan 27 09:35:12 2012  commencing in-memory singleton removal
Fri Jan 27 09:35:14 2012  begin with 27338218 relations and 16532393 unique ideals
Fri Jan 27 09:35:23 2012  reduce to 27316755 relations and 16066641 ideals in 4 passes
Fri Jan 27 09:35:23 2012  max relations containing the same ideal: 125
Fri Jan 27 09:35:31 2012  removing 840069 relations and 440069 ideals in 400000 cliques
Fri Jan 27 09:35:32 2012  commencing in-memory singleton removal
Fri Jan 27 09:35:33 2012  begin with 26476686 relations and 16066641 unique ideals
Fri Jan 27 09:35:42 2012  reduce to 26454174 relations and 15603076 ideals in 4 passes
Fri Jan 27 09:35:42 2012  max relations containing the same ideal: 124
Fri Jan 27 09:35:50 2012  removing 836456 relations and 436456 ideals in 400000 cliques
Fri Jan 27 09:35:50 2012  commencing in-memory singleton removal
Fri Jan 27 09:35:52 2012  begin with 25617718 relations and 15603076 unique ideals
Fri Jan 27 09:36:00 2012  reduce to 25594357 relations and 15142240 ideals in 4 passes
Fri Jan 27 09:36:00 2012  max relations containing the same ideal: 121
Fri Jan 27 09:36:08 2012  removing 833287 relations and 433287 ideals in 400000 cliques
Fri Jan 27 09:36:09 2012  commencing in-memory singleton removal
Fri Jan 27 09:36:10 2012  begin with 24761070 relations and 15142240 unique ideals
Fri Jan 27 09:36:18 2012  reduce to 24736254 relations and 14682983 ideals in 4 passes
Fri Jan 27 09:36:18 2012  max relations containing the same ideal: 117
Fri Jan 27 09:36:26 2012  removing 830765 relations and 430765 ideals in 400000 cliques
Fri Jan 27 09:36:26 2012  commencing in-memory singleton removal
Fri Jan 27 09:36:28 2012  begin with 23905489 relations and 14682983 unique ideals
Fri Jan 27 09:36:35 2012  reduce to 23879851 relations and 14225361 ideals in 4 passes
Fri Jan 27 09:36:35 2012  max relations containing the same ideal: 114
Fri Jan 27 09:36:43 2012  removing 827888 relations and 427888 ideals in 400000 cliques
Fri Jan 27 09:36:43 2012  commencing in-memory singleton removal
Fri Jan 27 09:36:45 2012  begin with 23051963 relations and 14225361 unique ideals
Fri Jan 27 09:36:52 2012  reduce to 23025547 relations and 13769674 ideals in 4 passes
Fri Jan 27 09:36:52 2012  max relations containing the same ideal: 111
Fri Jan 27 09:36:59 2012  removing 825575 relations and 425575 ideals in 400000 cliques
Fri Jan 27 09:36:59 2012  commencing in-memory singleton removal
Fri Jan 27 09:37:01 2012  begin with 22199972 relations and 13769674 unique ideals
Fri Jan 27 09:37:08 2012  reduce to 22172463 relations and 13315060 ideals in 4 passes
Fri Jan 27 09:37:08 2012  max relations containing the same ideal: 109
Fri Jan 27 09:37:14 2012  removing 823276 relations and 423276 ideals in 400000 cliques
Fri Jan 27 09:37:15 2012  commencing in-memory singleton removal
Fri Jan 27 09:37:16 2012  begin with 21349187 relations and 13315060 unique ideals
Fri Jan 27 09:37:23 2012  reduce to 21320494 relations and 12861516 ideals in 4 passes
Fri Jan 27 09:37:23 2012  max relations containing the same ideal: 107
Fri Jan 27 09:37:29 2012  removing 821069 relations and 421069 ideals in 400000 cliques
Fri Jan 27 09:37:30 2012  commencing in-memory singleton removal
Fri Jan 27 09:37:31 2012  begin with 20499425 relations and 12861516 unique ideals
Fri Jan 27 09:37:38 2012  reduce to 20470133 relations and 12409432 ideals in 4 passes
Fri Jan 27 09:37:38 2012  max relations containing the same ideal: 106
Fri Jan 27 09:37:44 2012  removing 819746 relations and 419746 ideals in 400000 cliques
Fri Jan 27 09:37:44 2012  commencing in-memory singleton removal
Fri Jan 27 09:37:46 2012  begin with 19650387 relations and 12409432 unique ideals
Fri Jan 27 09:37:52 2012  reduce to 19620022 relations and 11957567 ideals in 4 passes
Fri Jan 27 09:37:52 2012  max relations containing the same ideal: 104
Fri Jan 27 09:37:58 2012  removing 818386 relations and 418386 ideals in 400000 cliques
Fri Jan 27 09:37:58 2012  commencing in-memory singleton removal
Fri Jan 27 09:37:59 2012  begin with 18801636 relations and 11957567 unique ideals
Fri Jan 27 09:38:05 2012  reduce to 18770615 relations and 11506154 ideals in 4 passes
Fri Jan 27 09:38:05 2012  max relations containing the same ideal: 104
Fri Jan 27 09:38:11 2012  removing 817160 relations and 417160 ideals in 400000 cliques
Fri Jan 27 09:38:11 2012  commencing in-memory singleton removal
Fri Jan 27 09:38:12 2012  begin with 17953455 relations and 11506154 unique ideals
Fri Jan 27 09:38:18 2012  reduce to 17922429 relations and 11055965 ideals in 4 passes
Fri Jan 27 09:38:18 2012  max relations containing the same ideal: 100
Fri Jan 27 09:38:23 2012  removing 817252 relations and 417252 ideals in 400000 cliques
Fri Jan 27 09:38:24 2012  commencing in-memory singleton removal
Fri Jan 27 09:38:25 2012  begin with 17105177 relations and 11055965 unique ideals
Fri Jan 27 09:38:30 2012  reduce to 17073346 relations and 10604851 ideals in 4 passes
Fri Jan 27 09:38:30 2012  max relations containing the same ideal: 93
Fri Jan 27 09:38:35 2012  removing 818009 relations and 418009 ideals in 400000 cliques
Fri Jan 27 09:38:36 2012  commencing in-memory singleton removal
Fri Jan 27 09:38:37 2012  begin with 16255337 relations and 10604851 unique ideals
Fri Jan 27 09:38:42 2012  reduce to 16223630 relations and 10153140 ideals in 4 passes
Fri Jan 27 09:38:42 2012  max relations containing the same ideal: 91
Fri Jan 27 09:38:46 2012  removing 818760 relations and 418760 ideals in 400000 cliques
Fri Jan 27 09:38:47 2012  commencing in-memory singleton removal
Fri Jan 27 09:38:48 2012  begin with 15404870 relations and 10153140 unique ideals
Fri Jan 27 09:38:52 2012  reduce to 15372799 relations and 9700356 ideals in 4 passes
Fri Jan 27 09:38:52 2012  max relations containing the same ideal: 88
Fri Jan 27 09:38:57 2012  removing 819437 relations and 419437 ideals in 400000 cliques
Fri Jan 27 09:38:57 2012  commencing in-memory singleton removal
Fri Jan 27 09:38:58 2012  begin with 14553362 relations and 9700356 unique ideals
Fri Jan 27 09:39:03 2012  reduce to 14520605 relations and 9246159 ideals in 4 passes
Fri Jan 27 09:39:03 2012  max relations containing the same ideal: 87
Fri Jan 27 09:39:07 2012  removing 820688 relations and 420688 ideals in 400000 cliques
Fri Jan 27 09:39:07 2012  commencing in-memory singleton removal
Fri Jan 27 09:39:08 2012  begin with 13699917 relations and 9246159 unique ideals
Fri Jan 27 09:39:12 2012  reduce to 13666599 relations and 8790203 ideals in 4 passes
Fri Jan 27 09:39:12 2012  max relations containing the same ideal: 84
Fri Jan 27 09:39:16 2012  removing 822101 relations and 422101 ideals in 400000 cliques
Fri Jan 27 09:39:17 2012  commencing in-memory singleton removal
Fri Jan 27 09:39:18 2012  begin with 12844498 relations and 8790203 unique ideals
Fri Jan 27 09:39:21 2012  reduce to 12809302 relations and 8330781 ideals in 4 passes
Fri Jan 27 09:39:21 2012  max relations containing the same ideal: 81
Fri Jan 27 09:39:25 2012  removing 823728 relations and 423728 ideals in 400000 cliques
Fri Jan 27 09:39:25 2012  commencing in-memory singleton removal
Fri Jan 27 09:39:26 2012  begin with 11985574 relations and 8330781 unique ideals
Fri Jan 27 09:39:30 2012  reduce to 11949139 relations and 7868294 ideals in 4 passes
Fri Jan 27 09:39:30 2012  max relations containing the same ideal: 72
Fri Jan 27 09:39:33 2012  removing 825656 relations and 425656 ideals in 400000 cliques
Fri Jan 27 09:39:34 2012  commencing in-memory singleton removal
Fri Jan 27 09:39:34 2012  begin with 11123483 relations and 7868294 unique ideals
Fri Jan 27 09:39:38 2012  reduce to 11084512 relations and 7401278 ideals in 5 passes
Fri Jan 27 09:39:38 2012  max relations containing the same ideal: 69
Fri Jan 27 09:39:41 2012  removing 827975 relations and 427975 ideals in 400000 cliques
Fri Jan 27 09:39:42 2012  commencing in-memory singleton removal
Fri Jan 27 09:39:42 2012  begin with 10256537 relations and 7401278 unique ideals
Fri Jan 27 09:39:45 2012  reduce to 10215002 relations and 6929171 ideals in 4 passes
Fri Jan 27 09:39:45 2012  max relations containing the same ideal: 64
Fri Jan 27 09:39:48 2012  removing 831214 relations and 431214 ideals in 400000 cliques
Fri Jan 27 09:39:49 2012  commencing in-memory singleton removal
Fri Jan 27 09:39:49 2012  begin with 9383788 relations and 6929171 unique ideals
Fri Jan 27 09:39:52 2012  reduce to 9339113 relations and 6450326 ideals in 5 passes
Fri Jan 27 09:39:52 2012  max relations containing the same ideal: 61
Fri Jan 27 09:39:55 2012  removing 834279 relations and 434279 ideals in 400000 cliques
Fri Jan 27 09:39:56 2012  commencing in-memory singleton removal
Fri Jan 27 09:39:56 2012  begin with 8504834 relations and 6450326 unique ideals
Fri Jan 27 09:39:59 2012  reduce to 8455703 relations and 5963517 ideals in 5 passes
Fri Jan 27 09:39:59 2012  max relations containing the same ideal: 56
Fri Jan 27 09:40:01 2012  removing 838658 relations and 438658 ideals in 400000 cliques
Fri Jan 27 09:40:02 2012  commencing in-memory singleton removal
Fri Jan 27 09:40:02 2012  begin with 7617045 relations and 5963517 unique ideals
Fri Jan 27 09:40:05 2012  reduce to 7563181 relations and 5467012 ideals in 5 passes
Fri Jan 27 09:40:05 2012  max relations containing the same ideal: 53
Fri Jan 27 09:40:07 2012  removing 844193 relations and 444193 ideals in 400000 cliques
Fri Jan 27 09:40:07 2012  commencing in-memory singleton removal
Fri Jan 27 09:40:08 2012  begin with 6718988 relations and 5467012 unique ideals
Fri Jan 27 09:40:10 2012  reduce to 6658279 relations and 4957379 ideals in 6 passes
Fri Jan 27 09:40:10 2012  max relations containing the same ideal: 49
Fri Jan 27 09:40:12 2012  removing 849480 relations and 449480 ideals in 400000 cliques
Fri Jan 27 09:40:13 2012  commencing in-memory singleton removal
Fri Jan 27 09:40:13 2012  begin with 5808799 relations and 4957379 unique ideals
Fri Jan 27 09:40:15 2012  reduce to 5740458 relations and 4433748 ideals in 5 passes
Fri Jan 27 09:40:15 2012  max relations containing the same ideal: 45
Fri Jan 27 09:40:17 2012  removing 857577 relations and 457577 ideals in 400000 cliques
Fri Jan 27 09:40:17 2012  commencing in-memory singleton removal
Fri Jan 27 09:40:17 2012  begin with 4882881 relations and 4433748 unique ideals
Fri Jan 27 09:40:19 2012  reduce to 4804127 relations and 3890124 ideals in 5 passes
Fri Jan 27 09:40:19 2012  max relations containing the same ideal: 41
Fri Jan 27 09:40:20 2012  removing 869668 relations and 469668 ideals in 400000 cliques
Fri Jan 27 09:40:21 2012  commencing in-memory singleton removal
Fri Jan 27 09:40:21 2012  begin with 3934459 relations and 3890124 unique ideals
Fri Jan 27 09:40:22 2012  reduce to 3839633 relations and 3316023 ideals in 7 passes
Fri Jan 27 09:40:22 2012  max relations containing the same ideal: 37
Fri Jan 27 09:40:24 2012  removing 408980 relations and 248714 ideals in 160266 cliques
Fri Jan 27 09:40:24 2012  commencing in-memory singleton removal
Fri Jan 27 09:40:24 2012  begin with 3430653 relations and 3316023 unique ideals
Fri Jan 27 09:40:25 2012  reduce to 3389440 relations and 3024062 ideals in 6 passes
Fri Jan 27 09:40:25 2012  max relations containing the same ideal: 34
Fri Jan 27 09:40:27 2012  relations with 0 large ideals: 7088
Fri Jan 27 09:40:27 2012  relations with 1 large ideals: 14601
Fri Jan 27 09:40:27 2012  relations with 2 large ideals: 131087
Fri Jan 27 09:40:27 2012  relations with 3 large ideals: 454463
Fri Jan 27 09:40:27 2012  relations with 4 large ideals: 840348
Fri Jan 27 09:40:27 2012  relations with 5 large ideals: 921758
Fri Jan 27 09:40:27 2012  relations with 6 large ideals: 661980
Fri Jan 27 09:40:27 2012  relations with 7+ large ideals: 358115
Fri Jan 27 09:40:27 2012  commencing 2-way merge
Fri Jan 27 09:40:28 2012  reduce to 2553303 relation sets and 2187925 unique ideals
Fri Jan 27 09:40:28 2012  commencing full merge
Fri Jan 27 09:40:56 2012  memory use: 263.8 MB
Fri Jan 27 09:40:56 2012  found 1361863 cycles, need 1310125
Fri Jan 27 09:40:57 2012  weight of 1310125 cycles is about 91850361 (70.11/cycle)
Fri Jan 27 09:40:57 2012  distribution of cycle lengths:
Fri Jan 27 09:40:57 2012  1 relations: 78817
Fri Jan 27 09:40:57 2012  2 relations: 135011
Fri Jan 27 09:40:57 2012  3 relations: 171505
Fri Jan 27 09:40:57 2012  4 relations: 174232
Fri Jan 27 09:40:57 2012  5 relations: 166419
Fri Jan 27 09:40:57 2012  6 relations: 146533
Fri Jan 27 09:40:57 2012  7 relations: 123421
Fri Jan 27 09:40:57 2012  8 relations: 97927
Fri Jan 27 09:40:57 2012  9 relations: 75376
Fri Jan 27 09:40:57 2012  10+ relations: 140884
Fri Jan 27 09:40:57 2012  heaviest cycle: 16 relations
Fri Jan 27 09:40:57 2012  commencing cycle optimization
Fri Jan 27 09:40:58 2012  start with 7151756 relations
Fri Jan 27 09:41:07 2012  pruned 295703 relations
Fri Jan 27 09:41:07 2012  memory use: 214.1 MB
Fri Jan 27 09:41:07 2012  distribution of cycle lengths:
Fri Jan 27 09:41:07 2012  1 relations: 78817
Fri Jan 27 09:41:07 2012  2 relations: 139346
Fri Jan 27 09:41:07 2012  3 relations: 181407
Fri Jan 27 09:41:07 2012  4 relations: 184235
Fri Jan 27 09:41:07 2012  5 relations: 176907
Fri Jan 27 09:41:07 2012  6 relations: 152366
Fri Jan 27 09:41:07 2012  7 relations: 125984
Fri Jan 27 09:41:07 2012  8 relations: 96281
Fri Jan 27 09:41:07 2012  9 relations: 70287
Fri Jan 27 09:41:07 2012  10+ relations: 104495
Fri Jan 27 09:41:07 2012  heaviest cycle: 15 relations
Fri Jan 27 09:41:08 2012  RelProcTime: 2934
Fri Jan 27 09:41:08 2012  
Fri Jan 27 09:41:08 2012  commencing linear algebra
Fri Jan 27 09:41:09 2012  read 1310125 cycles
Fri Jan 27 09:41:10 2012  cycles contain 3257751 unique relations
Fri Jan 27 09:42:12 2012  read 3257751 relations
Fri Jan 27 09:42:16 2012  using 20 quadratic characters above 536854910
Fri Jan 27 09:42:31 2012  building initial matrix
Fri Jan 27 09:43:08 2012  memory use: 447.8 MB
Fri Jan 27 09:43:09 2012  read 1310125 cycles
Fri Jan 27 09:43:09 2012  matrix is 1309945 x 1310125 (387.8 MB) with weight 116966185 (89.28/col)
Fri Jan 27 09:43:09 2012  sparse part has weight 87256242 (66.60/col)
Fri Jan 27 09:43:20 2012  filtering completed in 2 passes
Fri Jan 27 09:43:20 2012  matrix is 1309639 x 1309819 (387.8 MB) with weight 116952436 (89.29/col)
Fri Jan 27 09:43:20 2012  sparse part has weight 87249128 (66.61/col)
Fri Jan 27 09:43:24 2012  read 1309819 cycles
Fri Jan 27 09:43:25 2012  matrix is 1309639 x 1309819 (387.8 MB) with weight 116952436 (89.29/col)
Fri Jan 27 09:43:25 2012  sparse part has weight 87249128 (66.61/col)
Fri Jan 27 09:43:25 2012  saving the first 48 matrix rows for later
Fri Jan 27 09:43:25 2012  matrix is 1309591 x 1309819 (370.3 MB) with weight 92322560 (70.48/col)
Fri Jan 27 09:43:25 2012  sparse part has weight 83974849 (64.11/col)
Fri Jan 27 09:43:25 2012  matrix includes 64 packed rows
Fri Jan 27 09:43:25 2012  using block size 65536 for processor cache size 8192 kB
Fri Jan 27 09:43:30 2012  commencing Lanczos iteration (8 threads)
Fri Jan 27 09:43:30 2012  memory use: 435.2 MB
Fri Jan 27 09:43:35 2012  linear algebra at 0.1%, ETA 2h24m
Fri Jan 27 11:39:10 2012  lanczos halted after 20710 iterations (dim = 1309591)
Fri Jan 27 11:39:11 2012  recovered 39 nontrivial dependencies
Fri Jan 27 11:39:12 2012  BLanczosTime: 7084
Fri Jan 27 11:39:12 2012  
Fri Jan 27 11:39:12 2012  commencing square root phase
Fri Jan 27 11:39:12 2012  reading relations for dependency 1
Fri Jan 27 11:39:12 2012  read 655698 cycles
Fri Jan 27 11:39:12 2012  cycles contain 1628734 unique relations
Fri Jan 27 11:40:15 2012  read 1628734 relations
Fri Jan 27 11:40:26 2012  multiplying 1628734 relations
Fri Jan 27 11:46:32 2012  multiply complete, coefficients have about 63.38 million bits
Fri Jan 27 11:46:33 2012  initial square root is modulo 1257041371
Fri Jan 27 11:58:44 2012  reading relations for dependency 2
Fri Jan 27 11:58:44 2012  read 655351 cycles
Fri Jan 27 11:58:45 2012  cycles contain 1629596 unique relations
Fri Jan 27 11:59:47 2012  read 1629596 relations
Fri Jan 27 11:59:58 2012  multiplying 1629596 relations
Fri Jan 27 12:06:05 2012  multiply complete, coefficients have about 63.42 million bits
Fri Jan 27 12:06:05 2012  initial square root is modulo 1271677241
Fri Jan 27 12:18:17 2012  reading relations for dependency 3
Fri Jan 27 12:18:17 2012  read 654707 cycles
Fri Jan 27 12:18:18 2012  cycles contain 1628342 unique relations
Fri Jan 27 12:19:20 2012  read 1628342 relations
Fri Jan 27 12:19:31 2012  multiplying 1628342 relations
Fri Jan 27 12:25:38 2012  multiply complete, coefficients have about 63.37 million bits
Fri Jan 27 12:25:38 2012  initial square root is modulo 1250999401
Fri Jan 27 12:37:49 2012  Newton iteration failed to converge
Fri Jan 27 12:37:49 2012  algebraic square root failed
Fri Jan 27 12:37:49 2012  reading relations for dependency 4
Fri Jan 27 12:37:49 2012  read 655393 cycles
Fri Jan 27 12:37:51 2012  cycles contain 1629098 unique relations
Fri Jan 27 12:38:52 2012  read 1629098 relations
Fri Jan 27 12:39:03 2012  multiplying 1629098 relations
Fri Jan 27 12:45:10 2012  multiply complete, coefficients have about 63.40 million bits
Fri Jan 27 12:45:10 2012  initial square root is modulo 1263344531
Fri Jan 27 12:57:21 2012  Newton iteration failed to converge
Fri Jan 27 12:57:21 2012  algebraic square root failed
Fri Jan 27 12:57:21 2012  reading relations for dependency 5
Fri Jan 27 12:57:22 2012  read 655703 cycles
Fri Jan 27 12:57:23 2012  cycles contain 1629720 unique relations
Fri Jan 27 12:58:24 2012  read 1629720 relations
Fri Jan 27 12:58:36 2012  multiplying 1629720 relations
Fri Jan 27 13:04:43 2012  multiply complete, coefficients have about 63.42 million bits
Fri Jan 27 13:04:43 2012  initial square root is modulo 1273721011
Fri Jan 27 13:16:55 2012  Newton iteration failed to converge
Fri Jan 27 13:16:55 2012  algebraic square root failed
Fri Jan 27 13:16:55 2012  reading relations for dependency 6
Fri Jan 27 13:16:56 2012  read 654942 cycles
Fri Jan 27 13:16:57 2012  cycles contain 1629286 unique relations
Fri Jan 27 13:17:59 2012  read 1629286 relations
Fri Jan 27 13:18:10 2012  multiplying 1629286 relations
Fri Jan 27 13:24:17 2012  multiply complete, coefficients have about 63.41 million bits
Fri Jan 27 13:24:17 2012  initial square root is modulo 1267207301
Fri Jan 27 13:36:29 2012  reading relations for dependency 7
Fri Jan 27 13:36:29 2012  read 654486 cycles
Fri Jan 27 13:36:30 2012  cycles contain 1628804 unique relations
Fri Jan 27 13:37:32 2012  read 1628804 relations
Fri Jan 27 13:37:43 2012  multiplying 1628804 relations
Fri Jan 27 13:43:50 2012  multiply complete, coefficients have about 63.39 million bits
Fri Jan 27 13:43:51 2012  initial square root is modulo 1259121421
Fri Jan 27 13:56:04 2012  Newton iteration failed to converge
Fri Jan 27 13:56:04 2012  algebraic square root failed
Fri Jan 27 13:56:04 2012  reading relations for dependency 8
Fri Jan 27 13:56:04 2012  read 654810 cycles
Fri Jan 27 13:56:05 2012  cycles contain 1628910 unique relations
Fri Jan 27 13:57:07 2012  read 1628910 relations
Fri Jan 27 13:57:18 2012  multiplying 1628910 relations
Fri Jan 27 14:03:25 2012  multiply complete, coefficients have about 63.39 million bits
Fri Jan 27 14:03:26 2012  initial square root is modulo 1261063781
Fri Jan 27 14:15:38 2012  Newton iteration failed to converge
Fri Jan 27 14:15:38 2012  algebraic square root failed
Fri Jan 27 14:15:38 2012  reading relations for dependency 9
Fri Jan 27 14:15:39 2012  read 655399 cycles
Fri Jan 27 14:15:40 2012  cycles contain 1628866 unique relations
Fri Jan 27 14:16:41 2012  read 1628866 relations
Fri Jan 27 14:16:53 2012  multiplying 1628866 relations
Fri Jan 27 14:22:59 2012  multiply complete, coefficients have about 63.39 million bits
Fri Jan 27 14:23:00 2012  initial square root is modulo 1259904781
Fri Jan 27 14:35:11 2012  reading relations for dependency 10
Fri Jan 27 14:35:12 2012  read 654533 cycles
Fri Jan 27 14:35:13 2012  cycles contain 1628588 unique relations
Fri Jan 27 14:36:15 2012  read 1628588 relations
Fri Jan 27 14:36:26 2012  multiplying 1628588 relations
Fri Jan 27 14:42:32 2012  multiply complete, coefficients have about 63.37 million bits
Fri Jan 27 14:42:33 2012  initial square root is modulo 1254314701
Fri Jan 27 14:54:44 2012  Newton iteration failed to converge
Fri Jan 27 14:54:44 2012  algebraic square root failed
Fri Jan 27 14:54:44 2012  reading relations for dependency 11
Fri Jan 27 14:54:45 2012  read 654896 cycles
Fri Jan 27 14:54:46 2012  cycles contain 1628938 unique relations
Fri Jan 27 14:55:48 2012  read 1628938 relations
Fri Jan 27 14:55:59 2012  multiplying 1628938 relations
Fri Jan 27 15:02:05 2012  multiply complete, coefficients have about 63.39 million bits
Fri Jan 27 15:02:05 2012  initial square root is modulo 1260054251
Fri Jan 27 15:14:16 2012  sqrtTime: 12904
Fri Jan 27 15:14:16 2012  prp44 factor: 93402484383333882239411002423459564115555017
Fri Jan 27 15:14:16 2012  prp62 factor: 49468362553742326611135601031538365545144870710397185828627037
Fri Jan 27 15:14:16 2012  prp74 factor: 69445864436001012562409242435193295688019117000648618923836748858130644783
Fri Jan 27 15:14:16 2012  elapsed time 06:22:04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:02:23 UTC 2009 年 3 月 6 日 (金) 16 時 2 分 23 秒 (日本時間)
255e40--
3025e4430Ignacio SantosSeptember 25, 2010 18:31:22 UTC 2010 年 9 月 26 日 (日) 3 時 31 分 22 秒 (日本時間)
351e6300Ignacio SantosSeptember 25, 2010 18:31:34 UTC 2010 年 9 月 26 日 (日) 3 時 31 分 34 秒 (日本時間)
403e6110Ignacio SantosSeptember 25, 2010 18:31:34 UTC 2010 年 9 月 26 日 (日) 3 時 31 分 34 秒 (日本時間)
4511e6632 / 444132Ignacio SantosSeptember 25, 2010 18:31:34 UTC 2010 年 9 月 26 日 (日) 3 時 31 分 34 秒 (日本時間)
600Dmitry DomanovDecember 9, 2010 17:58:43 UTC 2010 年 12 月 10 日 (金) 2 時 58 分 43 秒 (日本時間)

86×10191+319

c165

name 名前Dmitry Domanov
date 日付July 18, 2012 08:53:53 UTC 2012 年 7 月 18 日 (水) 17 時 53 分 53 秒 (日本時間)
composite number 合成数
344470821334296952240003695462595697959597697359615302236868718743559830500792565804175164524635751155220566571200957189475639710246274531065934001412643227263272483<165>
prime factors 素因数
43626996622935044974107232579228218537764669289316532495970180280069<68>
7895817910903498072706443268465758959928395255706889761876963439858911051918191884182490182048007<97>
factorization results 素因数分解の結果
N=344470821334296952240003695462595697959597697359615302236868718743559830500792565804175164524635751155220566571200957189475639710246274531065934001412643227263272483
  ( 165 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=43626996622935044974107232579228218537764669289316532495970180280069 (pp68)
 r2=7895817910903498072706443268465758959928395255706889761876963439858911051918191884182490182048007 (pp97)
Version: Msieve-1.40
Total time: 428.48 hours.
Scaled time: 843.67 units (timescale=1.969).
Factorization parameters were as follows:
n: 344470821334296952240003695462595697959597697359615302236868718743559830500792565804175164524635751155220566571200957189475639710246274531065934001412643227263272483
m: 100000000000000000000000000000000000000
deg: 5
c5: 860
c0: 31
skew: 0.51
# Murphy_E = 2.808e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 12350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1939814 x 1940039
Total sieving time: 423.83 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.15 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 428.48 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
2011e374Max DettweilerMarch 6, 2009 07:02:57 UTC 2009 年 3 月 6 日 (金) 16 時 2 分 57 秒 (日本時間)
255e40--
3025e4430Ignacio SantosSeptember 25, 2010 19:53:09 UTC 2010 年 9 月 26 日 (日) 4 時 53 分 9 秒 (日本時間)
351e6300Ignacio SantosSeptember 25, 2010 19:53:20 UTC 2010 年 9 月 26 日 (日) 4 時 53 分 20 秒 (日本時間)
403e6110Ignacio SantosSeptember 25, 2010 19:53:20 UTC 2010 年 9 月 26 日 (日) 4 時 53 分 20 秒 (日本時間)
4511e61632 / 444132Ignacio SantosSeptember 25, 2010 19:53:20 UTC 2010 年 9 月 26 日 (日) 4 時 53 分 20 秒 (日本時間)
600Dmitry DomanovDecember 9, 2010 17:58:22 UTC 2010 年 12 月 10 日 (金) 2 時 58 分 22 秒 (日本時間)
1000Dmitry DomanovJuly 13, 2012 07:15:00 UTC 2012 年 7 月 13 日 (金) 16 時 15 分 0 秒 (日本時間)

86×10193+319

c131

name 名前Robert Backstrom
date 日付June 11, 2008 04:26:12 UTC 2008 年 6 月 11 日 (水) 13 時 26 分 12 秒 (日本時間)
composite number 合成数
14162074932095004056081428092843431186530927733017519258696552135554878856011970657843644107064766187698663624963481176743381279999<131>
prime factors 素因数
14340220886360533482512595413716049258071<41>
987577181992017289168545019941442943274336687209294613113211426445489576560981167267446169<90>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 14162074932095004056081428092843431186530927733017519258696552135554878856011970657843644107064766187698663624963481176743381279999 (131 digits)
Using B1=2624000, B2=4281434440, polynomial Dickson(6), sigma=679961407
Step 1 took 25312ms
Step 2 took 11594ms
********** Factor found in step 2: 14340220886360533482512595413716049258071
Found probable prime factor of 41 digits: 14340220886360533482512595413716049258071
Probable prime cofactor 987577181992017289168545019941442943274336687209294613113211426445489576560981167267446169 has 90 digits

86×10196+319

c174

name 名前Dmitry Domanov
date 日付August 18, 2012 11:00:17 UTC 2012 年 8 月 18 日 (土) 20 時 0 分 17 秒 (日本時間)
composite number 合成数
248293262501629390516769272124973744051600669345226909509607680001900265830270435235630794170709459808885486169653935649783924644804265037453763694188226860742393886734131591<174>
prime factors 素因数
93901815796573734763067718878706579770266801815639905268081630357585402061<74>
2644179565595674573127652258212932694679500449631064791297091221394004542050543789830512478251725731<100>
factorization results 素因数分解の結果
N=248293262501629390516769272124973744051600669345226909509607680001900265830270435235630794170709459808885486169653935649783924644804265037453763694188226860742393886734131591
  ( 174 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=93901815796573734763067718878706579770266801815639905268081630357585402061 (pp74)
 r2=2644179565595674573127652258212932694679500449631064791297091221394004542050543789830512478251725731 (pp100)
Version: Msieve-1.40
Total time: 645.14 hours.
Scaled time: 1274.80 units (timescale=1.976).
Factorization parameters were as follows:
n: 248293262501629390516769272124973744051600669345226909509607680001900265830270435235630794170709459808885486169653935649783924644804265037453763694188226860742393886734131591
m: 1000000000000000000000000000000000000000
deg: 5
c5: 860
c0: 31
skew: 0.51
# Murphy_E = 1.744e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6950000, 16550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2699325 x 2699552
Total sieving time: 634.27 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 9.06 hours.
Time per square root: 1.54 hours.
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 645.14 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
2011e374Max DettweilerMarch 6, 2009 07:03:36 UTC 2009 年 3 月 6 日 (金) 16 時 3 分 36 秒 (日本時間)
255e40--
3025e4430Ignacio SantosSeptember 25, 2010 20:48:14 UTC 2010 年 9 月 26 日 (日) 5 時 48 分 14 秒 (日本時間)
351e6300Ignacio SantosSeptember 25, 2010 20:48:25 UTC 2010 年 9 月 26 日 (日) 5 時 48 分 25 秒 (日本時間)
403e6110Ignacio SantosSeptember 25, 2010 20:48:25 UTC 2010 年 9 月 26 日 (日) 5 時 48 分 25 秒 (日本時間)
4511e63032 / 444132Ignacio SantosSeptember 25, 2010 20:48:25 UTC 2010 年 9 月 26 日 (日) 5 時 48 分 25 秒 (日本時間)
800Dmitry DomanovDecember 9, 2010 17:58:09 UTC 2010 年 12 月 10 日 (金) 2 時 58 分 9 秒 (日本時間)
1000Dmitry DomanovJuly 13, 2012 07:15:11 UTC 2012 年 7 月 13 日 (金) 16 時 15 分 11 秒 (日本時間)
1200Dmitry DomanovJuly 16, 2012 13:47:02 UTC 2012 年 7 月 16 日 (月) 22 時 47 分 2 秒 (日本時間)

86×10198+319

c194

name 名前Robert Backstrom
date 日付April 12, 2010 16:40:31 UTC 2010 年 4 月 13 日 (火) 1 時 40 分 31 秒 (日本時間)
composite number 合成数
16294813341965794913100328871017647093374775212102574713140232216248088912080576715128578393115403468104702891552522446579064992241963578060587526547756213676539997229881731865814864772944091927<194>
prime factors 素因数
36253605224768718849660085548485877625865128591343597857<56>
449467390648173756855645746456067087167830270138822033049084626920730640766691398730530319491598419367159633461242128395259753720275891511<138>
factorization results 素因数分解の結果
Number: n
N=16294813341965794913100328871017647093374775212102574713140232216248088912080576715128578393115403468104702891552522446579064992241963578060587526547756213676539997229881731865814864772944091927
  ( 194 digits)
SNFS difficulty: 199 digits.
Divisors found:

Tue Apr 13 01:44:12 2010  prp56 factor: 36253605224768718849660085548485877625865128591343597857
Tue Apr 13 01:44:12 2010  prp138 factor: 449467390648173756855645746456067087167830270138822033049084626920730640766691398730530319491598419367159633461242128395259753720275891511
Tue Apr 13 01:44:12 2010  elapsed time 05:12:39 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.074).
Factorization parameters were as follows:
name: KA_9_5_197_9
n: 16294813341965794913100328871017647093374775212102574713140232216248088912080576715128578393115403468104702891552522446579064992241963578060587526547756213676539997229881731865814864772944091927
m: 1000000000000000000000000000000000000000
deg: 5
c5: 86000
c0: 31
skew: 0.20
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4672906 hash collisions in 33336092 relations
Msieve: matrix is 1970334 x 1970559 (560.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:04:23 UTC 2009 年 3 月 6 日 (金) 16 時 4 分 23 秒 (日本時間)
255e4204JPascoaDecember 6, 2009 10:01:23 UTC 2009 年 12 月 6 日 (日) 19 時 1 分 23 秒 (日本時間)
3025e4412JPascoaDecember 6, 2009 10:09:26 UTC 2009 年 12 月 6 日 (日) 19 時 9 分 26 秒 (日本時間)
351e60--
403e60--
4511e6750Dmitry DomanovDecember 18, 2009 08:05:14 UTC 2009 年 12 月 18 日 (金) 17 時 5 分 14 秒 (日本時間)
5043e61075 / 7385yoyo@homeFebruary 26, 2010 09:20:10 UTC 2010 年 2 月 26 日 (金) 18 時 20 分 10 秒 (日本時間)

86×10200+319

c163

composite cofactor 合成数の残り
1068763413989140304028326194992572158759340989338779095265293941235028245694950944841099786259868969580683336099997971602181804350490526280780823180634160340119359<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:06:42 UTC 2009 年 3 月 6 日 (金) 16 時 6 分 42 秒 (日本時間)
255e40--
3025e4430Ignacio SantosSeptember 25, 2010 21:43:21 UTC 2010 年 9 月 26 日 (日) 6 時 43 分 21 秒 (日本時間)
351e6300Ignacio SantosSeptember 25, 2010 21:51:45 UTC 2010 年 9 月 26 日 (日) 6 時 51 分 45 秒 (日本時間)
403e6110Ignacio SantosSeptember 25, 2010 21:51:45 UTC 2010 年 9 月 26 日 (日) 6 時 51 分 45 秒 (日本時間)
4511e6183232Ignacio SantosSeptember 25, 2010 21:51:45 UTC 2010 年 9 月 26 日 (日) 6 時 51 分 45 秒 (日本時間)
800Dmitry DomanovDecember 9, 2010 17:57:49 UTC 2010 年 12 月 10 日 (金) 2 時 57 分 49 秒 (日本時間)
1000Dmitry DomanovJuly 13, 2012 07:15:21 UTC 2012 年 7 月 13 日 (金) 16 時 15 分 21 秒 (日本時間)
5043e6744 / 7136600Dmitry DomanovJuly 18, 2012 22:14:19 UTC 2012 年 7 月 19 日 (木) 7 時 14 分 19 秒 (日本時間)
144Dmitry DomanovAugust 16, 2012 10:55:37 UTC 2012 年 8 月 16 日 (木) 19 時 55 分 37 秒 (日本時間)

86×10202+319

c195

name 名前Dmitry Domanov
date 日付July 5, 2012 07:35:28 UTC 2012 年 7 月 5 日 (木) 16 時 35 分 28 秒 (日本時間)
composite number 合成数
167992887789030857549147216424235827520437081488853712623706063081769662419548027789565555470111638058113709740936388187968354025655109260160785277956405494396406673073575514353381580925867645091<195>
prime factors 素因数
2132641632111854847176120491878472749973<40>
78772206853467167234699699980483940851067669699581312127275437919049425536053077135597310676427518535306233244428771125130230318772767677909441217865985367<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2040829823
Step 1 took 31421ms
********** Factor found in step 1: 2132641632111854847176120491878472749973
Found probable prime factor of 40 digits: 2132641632111854847176120491878472749973

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)

86×10203+319

c173

composite cofactor 合成数の残り
94894795728608058499952928480633137865740062881021433031410819750262533927905699491507873822713429620913515752269190816890856540718260820522837057643451572113337292617142339<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:15:34 UTC 2012 年 7 月 13 日 (金) 16 時 15 分 34 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:15:34 UTC 2012 年 7 月 13 日 (金) 16 時 15 分 34 秒 (日本時間)
5043e61120 / 7291600Dmitry DomanovJuly 18, 2012 22:15:22 UTC 2012 年 7 月 19 日 (木) 7 時 15 分 22 秒 (日本時間)
520Dmitry DomanovJuly 28, 2012 22:12:13 UTC 2012 年 7 月 29 日 (日) 7 時 12 分 13 秒 (日本時間)

86×10204+319

c123

name 名前Serge Batalov
date 日付July 4, 2012 06:41:34 UTC 2012 年 7 月 4 日 (水) 15 時 41 分 34 秒 (日本時間)
composite number 合成数
597899813706846836631115495368565192573013129739143824764082597370156672296913997408001468011982739561684429499945077521621<123>
prime factors 素因数
4666542013050684277129311859718119<34>
311469400194982857358928377460410269523<39>
411356014349270832930122858847278615111534489904433<51>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2890219174
Step 1 took 5413ms
Step 2 took 2860ms
********** Factor found in step 2: 4666542013050684277129311859718119
Found probable prime factor of 34 digits: 4666542013050684277129311859718119
Composite cofactor has 90 digits

starting SIQS on c90: 128124811055966147839846778431896622894172683483824545801973584024577796998251320042495459

==== sieving in progress ( 8 threads):   71184 relations needed ====
SIQS elapsed time = 351.5631 seconds.

***factors found***

PRP51 = 411356014349270832930122858847278615111534489904433
PRP39 = 311469400194982857358928377460410269523
software ソフトウェア
GMP-ECM 6.5 + yafu 1.31

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)

86×10206+319

c167

name 名前Serge Batalov
date 日付July 4, 2012 08:03:25 UTC 2012 年 7 月 4 日 (水) 17 時 3 分 25 秒 (日本時間)
composite number 合成数
14154111574126430936512625513580579091400412876480575881259356501115160889918743659714678863576338672487706859526453734728592515179138808547004509635285946508635770513<167>
prime factors 素因数
199951997017556684761920920804617<33>
70787547937736457177271508588226616230537703391867400254728428895641832213540733725603603834356988606906901412345432964193142164098889<134>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1327077807
Step 1 took 8289ms
Step 2 took 3948ms
********** Factor found in step 2: 199951997017556684761920920804617
Found probable prime factor of 33 digits: 199951997017556684761920920804617
Probable prime cofactor 70787547937736457177271508588226616230537703391867400254728428895641832213540733725603603834356988606906901412345432964193142164098889 has 134 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)

86×10207+319

c199

composite cofactor 合成数の残り
2211256646281183951709270762956418529506781609917146183282119288509715722735664277829887236268720064519036446575339704535623947640415573485629321352752434618707743791686966892967450929366547631962469<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:15:47 UTC 2012 年 7 月 13 日 (金) 16 時 15 分 47 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:15:47 UTC 2012 年 7 月 13 日 (金) 16 時 15 分 47 秒 (日本時間)
5043e6960 / 7291480Dmitry DomanovJuly 18, 2012 22:16:05 UTC 2012 年 7 月 19 日 (木) 7 時 16 分 5 秒 (日本時間)
480Dmitry DomanovJuly 28, 2012 22:11:34 UTC 2012 年 7 月 29 日 (日) 7 時 11 分 34 秒 (日本時間)

86×10208+319

c202

name 名前Dmitry Domanov
date 日付July 29, 2012 14:55:59 UTC 2012 年 7 月 29 日 (日) 23 時 55 分 59 秒 (日本時間)
composite number 合成数
3886223820526664576872401502990736177816900302601721558290255107140908705141809866219411108665049536633107000109912351147290770352636536927027530294233100069978690072434738338358514459493303925645042321<202>
prime factors 素因数
19307041065801063574791174986842410162325735013<47>
201285313854250210753532274031761457322279834026531088880768474172200781589610107852270101536952317015087508025670549569462106556636599190430986743267926717<156>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2948848143
Step 1 took 393348ms
Step 2 took 100647ms
********** Factor found in step 2: 19307041065801063574791174986842410162325735013
Found probable prime factor of 47 digits: 19307041065801063574791174986842410162325735013

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:15:58 UTC 2012 年 7 月 13 日 (金) 16 時 15 分 58 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:15:58 UTC 2012 年 7 月 13 日 (金) 16 時 15 分 58 秒 (日本時間)
5043e6960 / 7291480Dmitry DomanovJuly 18, 2012 22:16:36 UTC 2012 年 7 月 19 日 (木) 7 時 16 分 36 秒 (日本時間)
480Dmitry DomanovJuly 28, 2012 22:10:57 UTC 2012 年 7 月 29 日 (日) 7 時 10 分 57 秒 (日本時間)

86×10209+319

c146

name 名前Serge Batalov
date 日付July 4, 2012 18:00:50 UTC 2012 年 7 月 5 日 (木) 3 時 0 分 50 秒 (日本時間)
composite number 合成数
99605761035699001775274000227159563524305592012704430824458870190204431429212449662532366338940068851798505633590791404136971773929370093527454583<146>
prime factors 素因数
97788642925117218958074433384192013<35>
1018582097636565648690085564212946957018567912236906576020669420774869869957031506094759084590810969828257567891<112>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2422757749
Step 1 took 6913ms
Step 2 took 3412ms
********** Factor found in step 2: 97788642925117218958074433384192013
Found probable prime factor of 35 digits: 97788642925117218958074433384192013
Probable prime cofactor 1018582097636565648690085564212946957018567912236906576020669420774869869957031506094759084590810969828257567891 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)

86×10210+319

c149

composite cofactor 合成数の残り
19280129578066815962388002775391125910708587599031583319453477331558226010710958766001845918761036605265672387347522896293751553454421357978291240317<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:16:11 UTC 2012 年 7 月 13 日 (金) 16 時 16 分 11 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:16:11 UTC 2012 年 7 月 13 日 (金) 16 時 16 分 11 秒 (日本時間)
5043e61280 / 7291640Dmitry DomanovJuly 18, 2012 22:17:03 UTC 2012 年 7 月 19 日 (木) 7 時 17 分 3 秒 (日本時間)
640Dmitry DomanovJuly 28, 2012 22:09:56 UTC 2012 年 7 月 29 日 (日) 7 時 9 分 56 秒 (日本時間)

86×10212+319

c177

name 名前Serge Batalov
date 日付July 4, 2012 08:03:49 UTC 2012 年 7 月 4 日 (水) 17 時 3 分 49 秒 (日本時間)
composite number 合成数
589550366604575743423183456459770526897860277008928071079527168486188384751081803022524379384365355877260695939916354535606593378984040260550054625191604578833894390550018396163<177>
prime factors 素因数
851860466659405221737458960117<30>
composite cofactor 合成数の残り
692073866177302589175254370573788695550522820740724781757705957271104329327783464865566268145441786359836411701471961572714484422645497754896674839<147>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2419718839
Step 1 took 9569ms
Step 2 took 4196ms
********** Factor found in step 2: 851860466659405221737458960117
Found probable prime factor of 30 digits: 851860466659405221737458960117
Composite cofactor 692073866177302589175254370573788695550522820740724781757705957271104329327783464865566268145441786359836411701471961572714484422645497754896674839 has 147 digits

c147

name 名前Dmitry Domanov
date 日付July 5, 2012 07:38:16 UTC 2012 年 7 月 5 日 (木) 16 時 38 分 16 秒 (日本時間)
composite number 合成数
692073866177302589175254370573788695550522820740724781757705957271104329327783464865566268145441786359836411701471961572714484422645497754896674839<147>
prime factors 素因数
5812062674646849433376712137980707781121<40>
119075430689390173342224763792288234242284954976544293969693120988225919132272192599877447402036804735924759<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1315085101
Step 1 took 17464ms
Step 2 took 7365ms
********** Factor found in step 2: 5812062674646849433376712137980707781121
Found probable prime factor of 40 digits: 5812062674646849433376712137980707781121

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)

86×10213+319

c192

name 名前Domanov Dmitry
date 日付July 28, 2012 06:39:28 UTC 2012 年 7 月 28 日 (土) 15 時 39 分 28 秒 (日本時間)
composite number 合成数
210179320626720895685349029835844448092278404639474780464342486851504233420690053517551520237223479412152763247187989652379582111568641216396212348489619804729084118951599743730508449314793781<192>
prime factors 素因数
594080961057344909319040877746048287934938713<45>
composite cofactor 合成数の残り
353789019349557806234218367716562757967872284788627055737789631266292627153429818030614527432498394390764319526005553824667451596365963360477707837<147>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3738795736
Step 1 took 365137ms
Step 2 took 96067ms
********** Factor found in step 2: 594080961057344909319040877746048287934938713
Found probable prime factor of 45 digits: 594080961057344909319040877746048287934938713

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:16:23 UTC 2012 年 7 月 13 日 (金) 16 時 16 分 23 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:16:23 UTC 2012 年 7 月 13 日 (金) 16 時 16 分 23 秒 (日本時間)
5043e61000 / 7291480Dmitry DomanovJuly 18, 2012 22:17:37 UTC 2012 年 7 月 19 日 (木) 7 時 17 分 37 秒 (日本時間)
520Domanov DmitryJuly 27, 2012 20:43:17 UTC 2012 年 7 月 28 日 (土) 5 時 43 分 17 秒 (日本時間)

86×10214+319

c165

composite cofactor 合成数の残り
691933314190754382092936368250868494950921159041055000239115445588178609649325101880568680922565867528554537150308040989665839917615514775581015466867419113663031817<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:16:34 UTC 2012 年 7 月 13 日 (金) 16 時 16 分 34 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:16:34 UTC 2012 年 7 月 13 日 (金) 16 時 16 分 34 秒 (日本時間)
5043e61000 / 7291600Dmitry DomanovJuly 19, 2012 22:25:31 UTC 2012 年 7 月 20 日 (金) 7 時 25 分 31 秒 (日本時間)
400Domanov DmitryJuly 25, 2012 19:32:35 UTC 2012 年 7 月 26 日 (木) 4 時 32 分 35 秒 (日本時間)

86×10215+319

c183

composite cofactor 合成数の残り
873326905099662065371415340454651939777200034455250501217216827509008443691171968702460070000357142532869287234716246673249867369429218989715909021841867617486363432886383279223736163<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:16:45 UTC 2012 年 7 月 13 日 (金) 16 時 16 分 45 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:16:45 UTC 2012 年 7 月 13 日 (金) 16 時 16 分 45 秒 (日本時間)
5043e6930 / 7291560Dmitry DomanovJuly 19, 2012 22:26:23 UTC 2012 年 7 月 20 日 (金) 7 時 26 分 23 秒 (日本時間)
370Domanov DmitryJuly 27, 2012 20:42:24 UTC 2012 年 7 月 28 日 (土) 5 時 42 分 24 秒 (日本時間)

86×10216+319

c166

composite cofactor 合成数の残り
2358301087557597086249767426444812929864178893436496335336202284106422495651546756007080751044743519369184823347255356510103658732916867515137565322026979703000481187<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:16:59 UTC 2012 年 7 月 13 日 (金) 16 時 16 分 59 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:16:59 UTC 2012 年 7 月 13 日 (金) 16 時 16 分 59 秒 (日本時間)
5043e6960 / 7291600Dmitry DomanovJuly 19, 2012 22:26:55 UTC 2012 年 7 月 20 日 (金) 7 時 26 分 55 秒 (日本時間)
360Domanov DmitryJuly 27, 2012 20:41:23 UTC 2012 年 7 月 28 日 (土) 5 時 41 分 23 秒 (日本時間)

86×10217+319

c172

name 名前Dmitry Domanov
date 日付July 5, 2012 07:37:36 UTC 2012 年 7 月 5 日 (木) 16 時 37 分 36 秒 (日本時間)
composite number 合成数
6868514338556266907657533797142391686106982057438593324288150684476740316512827958628812674879715877391693582061371767489780551539133244692994298911532827864325977169393957<172>
prime factors 素因数
34577055755331495218065911395334451<35>
composite cofactor 合成数の残り
198643701394303908121931107307142714901635636514401291592329943520227732234546703812319436903389997407119283456852220439100316573615092807<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3731031840
Step 1 took 19529ms
Step 2 took 8347ms
********** Factor found in step 2: 34577055755331495218065911395334451
Found probable prime factor of 35 digits: 34577055755331495218065911395334451

c138

name 名前Dmitry Domanov
date 日付July 30, 2012 19:19:01 UTC 2012 年 7 月 31 日 (火) 4 時 19 分 1 秒 (日本時間)
composite number 合成数
198643701394303908121931107307142714901635636514401291592329943520227732234546703812319436903389997407119283456852220439100316573615092807<138>
prime factors 素因数
15631554485176545185076315975439668345948297965318457629003<59>
12707866103955200815632975350241028917048402166444798626669808086077145233297269<80>
factorization results 素因数分解の結果
N=198643701394303908121931107307142714901635636514401291592329943520227732234546703812319436903389997407119283456852220439100316573615092807
  ( 138 digits)
Divisors found:
 r1=15631554485176545185076315975439668345948297965318457629003 (pp59)
 r2=12707866103955200815632975350241028917048402166444798626669808086077145233297269 (pp80)
Version: Msieve-1.40
Total time: 376.71 hours.
Scaled time: 739.49 units (timescale=1.963).
Factorization parameters were as follows:
# Murphy_E = 3.263e-11, selected by Dmitry Domanov
n: 198643701394303908121931107307142714901635636514401291592329943520227732234546703812319436903389997407119283456852220439100316573615092807
Y0: -616420185950344902782959248
Y1: 399584241255541
c0: 12446526280152828365957534480451275
c1: 41765728954995671932111658555
c2: 73617666932794305659323
c3: 6949079309081725
c4: -28954148886
c5: 2232
skew: 1987311.89
type: gnfs
# selected mechanically
rlim: 15400000
alim: 15400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 600000Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [7700000, 13100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1710763 x 1710989
Total sieving time: 372.34 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.21 hours.
Time per square root: 0.92 hours.
Prototype def-par.txt line would be:
gnfs,137,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15400000,15400000,28,28,55,55,2.6,2.6,100000
total time: 376.71 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
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61800800Lionel DebrouxJuly 9, 2012 05:29:52 UTC 2012 年 7 月 9 日 (月) 14 時 29 分 52 秒 (日本時間)
1000Dmitry DomanovJuly 13, 2012 07:17:22 UTC 2012 年 7 月 13 日 (金) 16 時 17 分 22 秒 (日本時間)
4511e61000 / 1832Dmitry DomanovJuly 13, 2012 07:17:22 UTC 2012 年 7 月 13 日 (金) 16 時 17 分 22 秒 (日本時間)
5043e6640 / 7260Dmitry DomanovJuly 19, 2012 22:27:27 UTC 2012 年 7 月 20 日 (金) 7 時 27 分 27 秒 (日本時間)

86×10218+319

c199

composite cofactor 合成数の残り
1786063499722619963291083962380246929032099912091295499293433242186383564784330338853430239192293104156839975485293804480735965663412430445994115629395903068725287341796337291229708402742411834781679<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:17:36 UTC 2012 年 7 月 13 日 (金) 16 時 17 分 36 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:17:36 UTC 2012 年 7 月 13 日 (金) 16 時 17 分 36 秒 (日本時間)
5043e6960 / 7291480Dmitry DomanovJuly 19, 2012 22:28:00 UTC 2012 年 7 月 20 日 (金) 7 時 28 分 0 秒 (日本時間)
480Domanov DmitryJuly 27, 2012 20:40:39 UTC 2012 年 7 月 28 日 (土) 5 時 40 分 39 秒 (日本時間)

86×10219+319

c150

name 名前Dmitry Domanov
date 日付July 9, 2012 07:40:58 UTC 2012 年 7 月 9 日 (月) 16 時 40 分 58 秒 (日本時間)
composite number 合成数
140562412573727101748115539000867756573927262413947062469311750797546892296443162678113553264596245279590644843365856179477861545936654460204407786969<150>
prime factors 素因数
631446852472244456319656312817385665677287<42>
222603710864020165130854694183125028609992283529062742536787038268909648085360214691108915057573453416449087<108>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1251611627
Step 1 took 60102ms
Step 2 took 24150ms
********** Factor found in step 2: 631446852472244456319656312817385665677287
Found probable prime factor of 42 digits: 631446852472244456319656312817385665677287

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)

86×10222+319

c200

composite cofactor 合成数の残り
39744529222228327067986084726662157894772179877376559175602590144165699957237408380984321267993757365345593089019648027236026302706445443532468089348964151158108489146089431068590537360276133214621343<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:17:49 UTC 2012 年 7 月 13 日 (金) 16 時 17 分 49 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:17:49 UTC 2012 年 7 月 13 日 (金) 16 時 17 分 49 秒 (日本時間)
5043e6960 / 7291480Dmitry DomanovJuly 19, 2012 22:28:28 UTC 2012 年 7 月 20 日 (金) 7 時 28 分 28 秒 (日本時間)
480Domanov DmitryJuly 27, 2012 20:39:55 UTC 2012 年 7 月 28 日 (土) 5 時 39 分 55 秒 (日本時間)

86×10223+319

c172

name 名前Serge Batalov
date 日付July 4, 2012 08:44:49 UTC 2012 年 7 月 4 日 (水) 17 時 44 分 49 秒 (日本時間)
composite number 合成数
3360373667712759109941736826593601486674296702044823890731632901407477094612639186529297436786431819482123696940952233846357659040791172361365908511419438548744831260467849<172>
prime factors 素因数
4208511048792788061786584124834379<34>
798470914951425096243310626925876207205960413648223332355945253114037033070241940412476045836150791093565763732274344797704964676374759931<138>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=890269940
Step 1 took 8397ms
Step 2 took 3940ms
********** Factor found in step 2: 4208511048792788061786584124834379
Found probable prime factor of 34 digits: 4208511048792788061786584124834379
Probable prime cofactor 798470914951425096243310626925876207205960413648223332355945253114037033070241940412476045836150791093565763732274344797704964676374759931 has 138 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)

86×10224+319

c223

name 名前Bob Backstrom
date 日付September 4, 2018 01:03:19 UTC 2018 年 9 月 4 日 (火) 10 時 3 分 19 秒 (日本時間)
composite number 合成数
1727948563391601366284910588708057062487442234277677315651999196302993771348201727948563391601366284910588708057062487442234277677315651999196302993771348201727948563391601366284910588708057062487442234277677315651999196303<223>
prime factors 素因数
2689979275081863478273903891240808080457038164537176887283273878911929370275805728827951172802517674271<103>
642365009796967722831797825387698133570696484846647476735340049393546283163493200698743401106735685319711563595837122193<120>
factorization results 素因数分解の結果
Number: n
N=1727948563391601366284910588708057062487442234277677315651999196302993771348201727948563391601366284910588708057062487442234277677315651999196302993771348201727948563391601366284910588708057062487442234277677315651999196303
  ( 223 digits)
SNFS difficulty: 225 digits.
Divisors found:

Tue Sep  4 10:58:28 2018  p103 factor: 2689979275081863478273903891240808080457038164537176887283273878911929370275805728827951172802517674271
Tue Sep  4 10:58:28 2018  p120 factor: 642365009796967722831797825387698133570696484846647476735340049393546283163493200698743401106735685319711563595837122193
Tue Sep  4 10:58:28 2018  elapsed time 15:12:07 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 86x10^224+31 = 95(223)9
#
n: 1727948563391601366284910588708057062487442234277677315651999196302993771348201727948563391601366284910588708057062487442234277677315651999196302993771348201727948563391601366284910588708057062487442234277677315651999196303
m: 10000000000000000000000000000000000000
deg: 6
c6: 8600
c0: 31
skew: 0.39
# Murphy_E = 1.53e-12
type: snfs
lss: 1
rlim: 41000000
alim: 41000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 41000000/41000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 89300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 16363233 hash collisions in 103002229 relations (89427408 unique)
Msieve: matrix is 5544441 x 5544666 (1971.0 MB)

Sieving start time: 2018/09/02 00:19:30
Sieving end time  : 2018/09/03 19:43:16

Total sieving time: 43hrs 23min 46secs.

Total relation processing time: 13hrs 55min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 29min 53sec.

Prototype def-par.txt line would be:
snfs,225,6,0,0,0,0,0,0,0,0,41000000,41000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285192K/16703460K available (12300K kernel code, 2470K rwdata, 4244K rodata, 2408K init, 2416K bss, 418268K reserved, 0K cma-reserved)
[    0.076560] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.34 BogoMIPS (lpj=11976684)
[    0.074216] smpboot: Total of 16 processors activated (95813.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:18:03 UTC 2012 年 7 月 13 日 (金) 16 時 18 分 3 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:18:03 UTC 2012 年 7 月 13 日 (金) 16 時 18 分 3 秒 (日本時間)
5043e6960 / 7291440Dmitry DomanovJuly 20, 2012 22:51:12 UTC 2012 年 7 月 21 日 (土) 7 時 51 分 12 秒 (日本時間)
520Domanov DmitryJuly 27, 2012 20:39:12 UTC 2012 年 7 月 28 日 (土) 5 時 39 分 12 秒 (日本時間)

86×10225+319

c190

name 名前Dmitry Domanov
date 日付July 18, 2012 07:12:37 UTC 2012 年 7 月 18 日 (水) 16 時 12 分 37 秒 (日本時間)
composite number 合成数
4632216706276500313972749371614514853451490594434498357826029699635129660535523697087633977365130654865089376582824186588368792978023721099572746805887710058410058572517158987216973189746663<190>
prime factors 素因数
1429385385871052094901628908796716597617653<43>
3240705237414804844925641196407346034974297456593719379928922585124330003410695392215817323964476010931097959721030149972700199692526659663593576171<148>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2796085562
Step 1 took 348020ms
Step 2 took 92916ms
********** Factor found in step 2: 1429385385871052094901628908796716597617653
Found probable prime factor of 43 digits: 1429385385871052094901628908796716597617653

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:18:14 UTC 2012 年 7 月 13 日 (金) 16 時 18 分 14 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovJuly 13, 2012 07:18:14 UTC 2012 年 7 月 13 日 (金) 16 時 18 分 14 秒 (日本時間)
5043e6600 / 7291Dmitry DomanovJuly 17, 2012 20:09:05 UTC 2012 年 7 月 18 日 (水) 5 時 9 分 5 秒 (日本時間)

86×10226+319

c194

composite cofactor 合成数の残り
22162900728420387341816481496485087486241263222266626251373817555176292059953050688069213765344884607932867974285390870703960073769055951511037584551571471326386260448012082065248313881234977213<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:18:27 UTC 2012 年 7 月 13 日 (金) 16 時 18 分 27 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:18:27 UTC 2012 年 7 月 13 日 (金) 16 時 18 分 27 秒 (日本時間)
5043e6960 / 7291480Dmitry DomanovJuly 20, 2012 22:51:50 UTC 2012 年 7 月 21 日 (土) 7 時 51 分 50 秒 (日本時間)
480Domanov DmitryJuly 27, 2012 20:38:25 UTC 2012 年 7 月 28 日 (土) 5 時 38 分 25 秒 (日本時間)

86×10227+319

c200

composite cofactor 合成数の残り
17855271212251635944381833586812989483250363553647191747876438335396524145165241488303421739408803745820266601163322085660388623282638595204682166864788525583906631451342766114074356928520820010158003<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:18:38 UTC 2012 年 7 月 13 日 (金) 16 時 18 分 38 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:18:38 UTC 2012 年 7 月 13 日 (金) 16 時 18 分 38 秒 (日本時間)
5043e6960 / 7291480Dmitry DomanovJuly 20, 2012 22:52:28 UTC 2012 年 7 月 21 日 (土) 7 時 52 分 28 秒 (日本時間)
480Domanov DmitryJuly 27, 2012 20:37:34 UTC 2012 年 7 月 28 日 (土) 5 時 37 分 34 秒 (日本時間)

86×10229+319

c229

name 名前Dmitry Domanov
date 日付July 5, 2012 06:46:29 UTC 2012 年 7 月 5 日 (木) 15 時 46 分 29 秒 (日本時間)
composite number 合成数
2895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895622895623<229>
prime factors 素因数
22259263535353111291963599161914388717849<41>
composite cofactor 合成数の残り
130086194946384631971673917917781189068911784106675909724120219317119160785805726102422786808308490472105004782845432292340050665091424245473202911875071781164424475924563685476318547191327<189>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1458078010
Step 1 took 31972ms
Step 2 took 8302ms
********** Factor found in step 2: 22259263535353111291963599161914388717849
Found probable prime factor of 41 digits: 22259263535353111291963599161914388717849

c189

name 名前Dmitry Domanov
date 日付July 21, 2012 10:19:02 UTC 2012 年 7 月 21 日 (土) 19 時 19 分 2 秒 (日本時間)
composite number 合成数
130086194946384631971673917917781189068911784106675909724120219317119160785805726102422786808308490472105004782845432292340050665091424245473202911875071781164424475924563685476318547191327<189>
prime factors 素因数
113304202790713657225433176200876410300681813987<48>
1148114471858288530333234387049725474507294763060304024210326156320084273620419742523953482769654097396885161804154547625094689441659969084821<142>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2466891472
Step 1 took 339322ms
Step 2 took 90173ms
********** Factor found in step 2: 113304202790713657225433176200876410300681813987
Found probable prime factor of 48 digits: 113304202790713657225433176200876410300681813987

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:18:53 UTC 2012 年 7 月 13 日 (金) 16 時 18 分 53 秒 (日本時間)
4511e61000 / 2430Dmitry DomanovJuly 13, 2012 07:18:53 UTC 2012 年 7 月 13 日 (金) 16 時 18 分 53 秒 (日本時間)
5043e6520 / 7291Dmitry DomanovJuly 20, 2012 22:52:57 UTC 2012 年 7 月 21 日 (土) 7 時 52 分 57 秒 (日本時間)

86×10230+319

c217

composite cofactor 合成数の残り
7159330340703075069649648639116002271248290302833510678672185084161961772514007376578567240218837462065910853980446909397240223762717271717139433503052558528853720536876257721663480301684226442864590930781593162790481<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:19:04 UTC 2012 年 7 月 13 日 (金) 16 時 19 分 4 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:19:04 UTC 2012 年 7 月 13 日 (金) 16 時 19 分 4 秒 (日本時間)
5043e61000 / 7291600Dmitry DomanovJuly 16, 2012 21:38:57 UTC 2012 年 7 月 17 日 (火) 6 時 38 分 57 秒 (日本時間)
400Dmitry DomanovJuly 20, 2012 22:53:31 UTC 2012 年 7 月 21 日 (土) 7 時 53 分 31 秒 (日本時間)

86×10231+319

c215

composite cofactor 合成数の残り
24520506128158679944252424887025145126802381266649609539763001567108499272141419014181387844320549250252773397222346540174271183019234635265074888639373108642740053070937824953353834207049613731161976487168201487147<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:19:15 UTC 2012 年 7 月 13 日 (金) 16 時 19 分 15 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:19:15 UTC 2012 年 7 月 13 日 (金) 16 時 19 分 15 秒 (日本時間)
5043e61000 / 7291600Dmitry DomanovJuly 17, 2012 20:10:29 UTC 2012 年 7 月 18 日 (水) 5 時 10 分 29 秒 (日本時間)
400Dmitry DomanovJuly 20, 2012 22:54:05 UTC 2012 年 7 月 21 日 (土) 7 時 54 分 5 秒 (日本時間)

86×10232+319

c160

composite cofactor 合成数の残り
4497935992533682305404423042166836763582834371392910526053007815606228269087758974441406006318226932246499875441970882646509441859182780613175852293295062871049<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:19:27 UTC 2012 年 7 月 13 日 (金) 16 時 19 分 27 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:19:27 UTC 2012 年 7 月 13 日 (金) 16 時 19 分 27 秒 (日本時間)
5043e61040 / 7291640Domanov DmitryJuly 23, 2012 20:45:33 UTC 2012 年 7 月 24 日 (火) 5 時 45 分 33 秒 (日本時間)
400Domanov DmitryJuly 25, 2012 19:28:59 UTC 2012 年 7 月 26 日 (木) 4 時 28 分 59 秒 (日本時間)

86×10233+319

c179

name 名前Dmitry Domanov
date 日付July 5, 2012 07:38:50 UTC 2012 年 7 月 5 日 (木) 16 時 38 分 50 秒 (日本時間)
composite number 合成数
39563926806182325665712431405007946887429942846875597488842969645711833068396726931379184847909372462635182983485448918992116075878744286128643344136222890102743954603730526393947<179>
prime factors 素因数
1212813526099214842632567754658595997<37>
32621607489349337956043906418308446558867241470232335770541027601458115810235458083524353063337719242640015241170363365186876845215567924267351<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=446060394
Step 1 took 23223ms
Step 2 took 8962ms
********** Factor found in step 2: 1212813526099214842632567754658595997
Found probable prime factor of 37 digits: 1212813526099214842632567754658595997

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)

86×10234+319

c202

composite cofactor 合成数の残り
3369202034821941301393622645860879304756984301181768054800506399253946604015249936012921150275125293572847469524310427068382053142604950312204172961747952535594089813509930735993772956225482938163506129<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:19:40 UTC 2012 年 7 月 13 日 (金) 16 時 19 分 40 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:19:40 UTC 2012 年 7 月 13 日 (金) 16 時 19 分 40 秒 (日本時間)
5043e61040 / 7291520Dmitry DomanovJuly 16, 2012 21:37:46 UTC 2012 年 7 月 17 日 (火) 6 時 37 分 46 秒 (日本時間)
520Domanov DmitryJuly 23, 2012 20:46:33 UTC 2012 年 7 月 24 日 (火) 5 時 46 分 33 秒 (日本時間)

86×10236+319

c199

name 名前Serge Batalov
date 日付July 4, 2012 05:57:09 UTC 2012 年 7 月 4 日 (水) 14 時 57 分 9 秒 (日本時間)
composite number 合成数
7516357401964796296957780810924982202921589408322238570764772954701029161086239616385795529161708489321516081551234415136951781680612364992121527539207371603239502312903724664480935085573990410500077<199>
prime factors 素因数
43811775904572071080359566850151<32>
171560208340708024799852212799466487953999855708929980381527953103469366380144267271558848484893202436786858478020973896602822322530575149700475458231450690690708646027<168>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=339901429
Step 1 took 11096ms
Step 2 took 4757ms
********** Factor found in step 2: 43811775904572071080359566850151
Found probable prime factor of 32 digits: 43811775904572071080359566850151
Probable prime cofactor 171560208340708024799852212799466487953999855708929980381527953103469366380144267271558848484893202436786858478020973896602822322530575149700475458231450690690708646027 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)

86×10237+319

c158

composite cofactor 合成数の残り
23422626395444987531631170313799096774548590349002788317526323211226840026719030901449869670888288310794532095726263921024602957915271807992568229778778660113<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:19:55 UTC 2012 年 7 月 13 日 (金) 16 時 19 分 55 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:19:55 UTC 2012 年 7 月 13 日 (金) 16 時 19 分 55 秒 (日本時間)
5043e61280 / 7291640Dmitry DomanovJuly 16, 2012 21:37:13 UTC 2012 年 7 月 17 日 (火) 6 時 37 分 13 秒 (日本時間)
640Domanov DmitryJuly 23, 2012 20:47:06 UTC 2012 年 7 月 24 日 (火) 5 時 47 分 6 秒 (日本時間)

86×10239+319

c215

name 名前Serge Batalov
date 日付July 4, 2012 18:00:30 UTC 2012 年 7 月 5 日 (木) 3 時 0 分 30 秒 (日本時間)
composite number 合成数
68637226687029702159680268152647078875056027228563456007358944781245308711833538268012321539850186091070591013809027992487604562614382796492986061960165735256373750183631997103999268504427113187952364160509320007271<215>
prime factors 素因数
287490106353518793955672463972005958869<39>
composite cofactor 合成数の残り
238746395685103557253614474939615788280499216922759257718349031096381698183257099670983988082399262804575574199168544387069823050924999896349412621278646577268572454728505386059<177>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2470580593
Step 1 took 13929ms
Step 2 took 5349ms
********** Factor found in step 2: 287490106353518793955672463972005958869
Found probable prime factor of 39 digits: 287490106353518793955672463972005958869
Composite cofactor 238746395685103557253614474939615788280499216922759257718349031096381698183257099670983988082399262804575574199168544387069823050924999896349412621278646577268572454728505386059 has 177 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:20:07 UTC 2012 年 7 月 13 日 (金) 16 時 20 分 7 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:20:07 UTC 2012 年 7 月 13 日 (金) 16 時 20 分 7 秒 (日本時間)
5043e61200 / 7291600Dmitry DomanovJuly 16, 2012 21:36:28 UTC 2012 年 7 月 17 日 (火) 6 時 36 分 28 秒 (日本時間)
600Domanov DmitryJuly 23, 2012 20:47:39 UTC 2012 年 7 月 24 日 (火) 5 時 47 分 39 秒 (日本時間)

86×10240+319

c208

name 名前Dmitry Domanov
date 日付July 9, 2012 07:40:23 UTC 2012 年 7 月 9 日 (月) 16 時 40 分 23 秒 (日本時間)
composite number 合成数
1460730650769404551081154649678578149719425684375601410215732378708948950565022766528014058878929597824540919241118784442419025363993059197917587480722925136329610059146864777073619040905102568984242355517397<208>
prime factors 素因数
51554287167655691445352559017655518139<38>
composite cofactor 合成数の残り
28333834701643258161611847642119055969088905097166620841757238593136470522322709027146510511930593365526463908901889255675941748035087219367713608861377595632835701051823<170>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2848387405
Step 1 took 99856ms
Step 2 took 33619ms
********** Factor found in step 2: 51554287167655691445352559017655518139
Found probable prime factor of 38 digits: 51554287167655691445352559017655518139

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:20:20 UTC 2012 年 7 月 13 日 (金) 16 時 20 分 20 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:20:20 UTC 2012 年 7 月 13 日 (金) 16 時 20 分 20 秒 (日本時間)
5043e61240 / 7291640Dmitry DomanovJuly 16, 2012 21:35:55 UTC 2012 年 7 月 17 日 (火) 6 時 35 分 55 秒 (日本時間)
600Domanov DmitryJuly 23, 2012 20:48:19 UTC 2012 年 7 月 24 日 (火) 5 時 48 分 19 秒 (日本時間)

86×10241+319

c212

composite cofactor 合成数の残り
72428339450385787494167109601870602229505135424703372457024177758237220954457379153986805006170703724093010734236093049147594573031984953312868447007675324866019277326253435607864837749739538771412404701259974827<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:20:33 UTC 2012 年 7 月 13 日 (金) 16 時 20 分 33 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:20:33 UTC 2012 年 7 月 13 日 (金) 16 時 20 分 33 秒 (日本時間)
5043e61120 / 7291520Dmitry DomanovJuly 16, 2012 21:35:17 UTC 2012 年 7 月 17 日 (火) 6 時 35 分 17 秒 (日本時間)
600Domanov DmitryJuly 23, 2012 20:49:25 UTC 2012 年 7 月 24 日 (火) 5 時 49 分 25 秒 (日本時間)

86×10242+319

c240

name 名前Dmitry Domanov
date 日付July 9, 2012 07:39:50 UTC 2012 年 7 月 9 日 (月) 16 時 39 分 50 秒 (日本時間)
composite number 合成数
142344042239766953009914428058327954052667295628713772613668338381581342999486899382624095867057285201185096909810152771570915470811195524438485856629756525481238724200142344042239766953009914428058327954052667295628713772613668338381581343<240>
prime factors 素因数
191417384265866620311174759265772479811<39>
composite cofactor 合成数の残り
743631738494869911816160072773423731325006480276743483965569146573196286274528228775960208085830742348955592867133543915906042384501238544930886566725229144049176658908341195336758470623960095324045813<201>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=723038095
Step 1 took 128185ms
Step 2 took 40880ms
********** Factor found in step 2: 191417384265866620311174759265772479811
Found probable prime factor of 39 digits: 191417384265866620311174759265772479811

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:20:45 UTC 2012 年 7 月 13 日 (金) 16 時 20 分 45 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:20:45 UTC 2012 年 7 月 13 日 (金) 16 時 20 分 45 秒 (日本時間)
5043e61040 / 7291520Dmitry DomanovJuly 15, 2012 20:13:07 UTC 2012 年 7 月 16 日 (月) 5 時 13 分 7 秒 (日本時間)
520Domanov DmitryJuly 23, 2012 20:48:52 UTC 2012 年 7 月 24 日 (火) 5 時 48 分 52 秒 (日本時間)

86×10243+319

c143

name 名前Erik Branger
date 日付August 29, 2017 17:55:59 UTC 2017 年 8 月 30 日 (水) 2 時 55 分 59 秒 (日本時間)
composite number 合成数
31387227074868707068956614154849785912549957585627436765964012449232191228597688250895820483028472703033363025921620021953643608333281611600603<143>
prime factors 素因数
63157540402847902123027946800574067837645889644114557088870793672306187<71>
496967216814754126763216794551068968146060755433851949074996404933165169<72>
factorization results 素因数分解の結果
Number: 95559_243
N = 31387227074868707068956614154849785912549957585627436765964012449232191228597688250895820483028472703033363025921620021953643608333281611600603 (143 digits)
Divisors found:
r1=63157540402847902123027946800574067837645889644114557088870793672306187 (pp71)
r2=496967216814754126763216794551068968146060755433851949074996404933165169 (pp72)
Version: Msieve v. 1.51 (SVN 845)
Total time: 485.18 hours.
Factorization parameters were as follows:
# Murphy_E = 1.61707309e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 31387227074868707068956614154849785912549957585627436765964012449232191228597688250895820483028472703033363025921620021953643608333281611600603
Y0: -2373119557742508396796499549
Y1: 145617223797082303901
c0: -2835080995754419560217865197884
c1: 280429280569674120390712456
c2: 16507674327908840121561
c3: -192855948680336569
c4: -2560841949450
c5: 12668400
skew: 72001.60538
type: gnfs
# selected mechanically
rlim: 21000000
alim: 21000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23478483
Relations: 4439504 relations
Pruned matrix : 2744768 x 2744993
Polynomial selection time: 0.00 hours.
Total sieving time: 477.16 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 7.38 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,21000000,21000000,28,28,56,56,2.6,2.6,100000
total time: 485.18 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e62320320Lionel DebrouxJuly 4, 2012 19:59:39 UTC 2012 年 7 月 5 日 (木) 4 時 59 分 39 秒 (日本時間)
1000Lionel DebrouxJuly 5, 2012 04:53:22 UTC 2012 年 7 月 5 日 (木) 13 時 53 分 22 秒 (日本時間)
1000Dmitry DomanovJuly 13, 2012 07:21:03 UTC 2012 年 7 月 13 日 (金) 16 時 21 分 3 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:21:03 UTC 2012 年 7 月 13 日 (金) 16 時 21 分 3 秒 (日本時間)
5043e6850 / 7211Dmitry DomanovJuly 13, 2012 20:48:50 UTC 2012 年 7 月 14 日 (土) 5 時 48 分 50 秒 (日本時間)
5511e70 / 17371--
6026e76 / 41899KTakahashiOctober 27, 2014 21:15:36 UTC 2014 年 10 月 28 日 (火) 6 時 15 分 36 秒 (日本時間)

86×10244+319

c231

name 名前Dmitry Domanov
date 日付July 14, 2012 09:47:29 UTC 2012 年 7 月 14 日 (土) 18 時 47 分 29 秒 (日本時間)
composite number 合成数
113134850049840677156305053151125277283019637641159469404611558165026186886125035457921362488740104380511065559632303637947910950739700916545243049837259678711623969554730552118001496062450531263929147645663728196668214143897706371<231>
prime factors 素因数
117309589163027546322655159027299155850832846019197583491<57>
composite cofactor 合成数の残り
964412635463370786800271106802848792482119383144798984317941406399046400396765105594390630547338363256508080242835308960409653740749336373748586542272493464471426233179239681<174>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=907709771
Step 1 took 485875ms
Step 2 took 121589ms
********** Factor found in step 2: 117309589163027546322655159027299155850832846019197583491
Found probable prime factor of 57 digits: 117309589163027546322655159027299155850832846019197583491

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:21:19 UTC 2012 年 7 月 13 日 (金) 16 時 21 分 19 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:21:19 UTC 2012 年 7 月 13 日 (金) 16 時 21 分 19 秒 (日本時間)
5043e61080 / 7291440Dmitry DomanovJuly 13, 2012 20:48:13 UTC 2012 年 7 月 14 日 (土) 5 時 48 分 13 秒 (日本時間)
640Domanov DmitryJuly 25, 2012 19:23:31 UTC 2012 年 7 月 26 日 (木) 4 時 23 分 31 秒 (日本時間)

86×10245+319

c199

composite cofactor 合成数の残り
1428218629090845791461013411033813008630976376261307980302649599142924694382059225730616316885438279214036826976310259339390811897046869984894167633044371862653690204110505188424156254244014513600997<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:21:33 UTC 2012 年 7 月 13 日 (金) 16 時 21 分 33 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:21:33 UTC 2012 年 7 月 13 日 (金) 16 時 21 分 33 秒 (日本時間)
5043e61040 / 7291520Dmitry DomanovJuly 13, 2012 20:47:43 UTC 2012 年 7 月 14 日 (土) 5 時 47 分 43 秒 (日本時間)
520Domanov DmitryJuly 25, 2012 19:24:16 UTC 2012 年 7 月 26 日 (木) 4 時 24 分 16 秒 (日本時間)

86×10246+319

c219

name 名前Dmitry Domanov
date 日付July 10, 2012 06:48:07 UTC 2012 年 7 月 10 日 (火) 15 時 48 分 7 秒 (日本時間)
composite number 合成数
378682130669150333166555600943441140277962408796000747578471322841545697942447432837237833525250981209334618681904883684100851273159499277057467084764083757804414005052321635338546093914370536692904576973628458502531977<219>
prime factors 素因数
120869991444372081776263790152372120700719<42>
composite cofactor 合成数の残り
3132970608700927773166426235645320840274089504405706841278719199122724212344944026758917744580666952246672940092738616619025728707838962796578121452464697894581865721212478851783<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1231903186
Step 1 took 113386ms
Step 2 took 36134ms
********** Factor found in step 2: 120869991444372081776263790152372120700719
Found probable prime factor of 42 digits: 120869991444372081776263790152372120700719

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:21:47 UTC 2012 年 7 月 13 日 (金) 16 時 21 分 47 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:21:47 UTC 2012 年 7 月 13 日 (金) 16 時 21 分 47 秒 (日本時間)
5043e61240 / 7291640Dmitry DomanovJuly 13, 2012 20:47:15 UTC 2012 年 7 月 14 日 (土) 5 時 47 分 15 秒 (日本時間)
600Domanov DmitryJuly 25, 2012 19:24:52 UTC 2012 年 7 月 26 日 (木) 4 時 24 分 52 秒 (日本時間)

86×10247+319

c229

name 名前Serge Batalov
date 日付July 4, 2012 06:25:34 UTC 2012 年 7 月 4 日 (水) 15 時 25 分 34 秒 (日本時間)
composite number 合成数
2109300836657264887569131427193693137175129058232069621111228362647305250785103717887907183334031110254331217619586569909882207679438379246062719085976155302603371230374345262686432519811063420081668106057097958771191513874228229<229>
prime factors 素因数
7239955235874399290658628931<28>
composite cofactor 合成数の残り
291341695899659235301223158858141893680823359892931853538472593769949027310016108582243147021263188888110623911612672084854912174990807327268905317557857315821852591973251958264364206310271697131182359<201>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=749768047
Step 1 took 14173ms
Step 2 took 5620ms
********** Factor found in step 2: 7239955235874399290658628931
Found probable prime factor of 28 digits: 7239955235874399290658628931
Composite cofactor 291341695899659235301223158858141893680823359892931853538472593769949027310016108582243147021263188888110623911612672084854912174990807327268905317557857315821852591973251958264364206310271697131182359 has 201 digits

c201

name 名前Serge Batalov
date 日付July 4, 2012 18:02:31 UTC 2012 年 7 月 5 日 (木) 3 時 2 分 31 秒 (日本時間)
composite number 合成数
291341695899659235301223158858141893680823359892931853538472593769949027310016108582243147021263188888110623911612672084854912174990807327268905317557857315821852591973251958264364206310271697131182359<201>
prime factors 素因数
72005428174272525446388116277383<32>
composite cofactor 合成数の残り
4046107401716074518393797452901478297351272900688936444119798096250366545145686661557071751919375096333163110879913506004383474665809399195992489862305763269176235269873<169>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=106763625
Step 1 took 14229ms
Step 2 took 5616ms
********** Factor found in step 2: 72005428174272525446388116277383
Found probable prime factor of 32 digits: 72005428174272525446388116277383

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:22:02 UTC 2012 年 7 月 13 日 (金) 16 時 22 分 2 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:22:02 UTC 2012 年 7 月 13 日 (金) 16 時 22 分 2 秒 (日本時間)
5043e61280 / 2903640Dmitry DomanovJuly 13, 2012 20:46:42 UTC 2012 年 7 月 14 日 (土) 5 時 46 分 42 秒 (日本時間)
640Domanov DmitryJuly 25, 2012 19:25:29 UTC 2012 年 7 月 26 日 (木) 4 時 25 分 29 秒 (日本時間)
5511e71820 / 17242900Serge BatalovJune 5, 2014 02:34:31 UTC 2014 年 6 月 5 日 (木) 11 時 34 分 31 秒 (日本時間)
920Serge BatalovJune 5, 2014 15:28:31 UTC 2014 年 6 月 6 日 (金) 0 時 28 分 31 秒 (日本時間)

86×10248+319

c245

name 名前Serge Batalov
date 日付July 4, 2012 18:02:58 UTC 2012 年 7 月 5 日 (木) 3 時 2 分 58 秒 (日本時間)
composite number 合成数
13812398715768138008348470758670090856673878023670596775929164879888344423404627796006931896843866893446980465092374431643884239250018871591268636700185824945513299252042548612416061571176414847364963726392442369372451331370687841395116514007539<245>
prime factors 素因数
36909081874474685233079876465115380138041<41>
composite cofactor 合成数の残り
374227643015970451186263014358476544747895176351556292302251059773821549701606193262691599691293771060488272794755360002215441109937944750055856262852718366572296349841539729745912306746703073967098090379<204>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2159946563
Step 1 took 15085ms
Step 2 took 6112ms
********** Factor found in step 2: 36909081874474685233079876465115380138041
Found probable prime factor of 41 digits: 36909081874474685233079876465115380138041
Composite cofactor 374227643015970451186263014358476544747895176351556292302251059773821549701606193262691599691293771060488272794755360002215441109937944750055856262852718366572296349841539729745912306746703073967098090379 has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:22:14 UTC 2012 年 7 月 13 日 (金) 16 時 22 分 14 秒 (日本時間)
4511e61000Dmitry DomanovJuly 13, 2012 07:22:14 UTC 2012 年 7 月 13 日 (金) 16 時 22 分 14 秒 (日本時間)
5043e61040 / 7291520Dmitry DomanovJuly 13, 2012 20:46:06 UTC 2012 年 7 月 14 日 (土) 5 時 46 分 6 秒 (日本時間)
520Domanov DmitryJuly 25, 2012 19:26:04 UTC 2012 年 7 月 26 日 (木) 4 時 26 分 4 秒 (日本時間)

86×10249+319

c247

composite cofactor 合成数の残り
9760526614459198728861650209964816706389740097605266144591987288616502099648167063897400976052661445919872886165020996481670638974009760526614459198728861650209964816706389740097605266144591987288616502099648167063897400976052661445919872886165021<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 4, 2012 01:00:00 UTC 2012 年 7 月 4 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 13, 2012 07:22:29 UTC 2012 年 7 月 13 日 (金) 16 時 22 分 29 秒 (日本時間)
4511e6159090Markus TervoorenJuly 4, 2012 13:02:30 UTC 2012 年 7 月 4 日 (水) 22 時 2 分 30 秒 (日本時間)
500Markus TervoorenJuly 4, 2012 13:50:31 UTC 2012 年 7 月 4 日 (水) 22 時 50 分 31 秒 (日本時間)
1000Dmitry DomanovJuly 13, 2012 07:22:29 UTC 2012 年 7 月 13 日 (金) 16 時 22 分 29 秒 (日本時間)
5043e6960600Dmitry DomanovJuly 13, 2012 20:44:52 UTC 2012 年 7 月 14 日 (土) 5 時 44 分 52 秒 (日本時間)
360Domanov DmitryJuly 25, 2012 19:26:50 UTC 2012 年 7 月 26 日 (木) 4 時 26 分 50 秒 (日本時間)
5511e72585 / 17319yoyo@homeMarch 31, 2013 00:05:19 UTC 2013 年 3 月 31 日 (日) 9 時 5 分 19 秒 (日本時間)