Table of contents 目次

29×10102-119

c103

name 名前Jo Yeong Uk
date 日付November 12, 2008 16:52:57 UTC 2008 年 11 月 13 日 (木) 1 時 52 分 57 秒 (日本時間)
composite number 合成数
3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<103>
prime factors 素因数
2086989367377430338068718358517067554766449659<46>
1543957181857307441236327584868144774614328996585231159319<58>
factorization results 素因数分解の結果
Number: 32221_102
N=3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
  ( 103 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=2086989367377430338068718358517067554766449659 (pp46)
 r2=1543957181857307441236327584868144774614328996585231159319 (pp58)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.32 hours.
Scaled time: 0.77 units (timescale=2.389).
Factorization parameters were as follows:
n: 3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
m: 100000000000000000000
deg: 5
c5: 2900
c0: -11
skew: 0.33
type: snfs
rlim: 210000
alim: 210000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 210000/210000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [105000, 180001)
Primes: RFBsize:18807, AFBsize:18986, largePrimes:788369 encountered
Relations: rels:676681, finalFF:44263
Max relations in full relation-set: 28
Initial matrix: 37860 x 44263 with sparse part having weight 1931482.
Pruned matrix : 35761 x 36014 with weight 1237693.
Total sieving time: 0.30 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103,5,0,0,0,0,0,0,0,0,210000,210000,25,25,44,44,2.2,2.2,15000
total time: 0.32 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047212k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673807)
Calibrating delay using timer specific routine.. 5344.58 BogoMIPS (lpj=2672293)
Calibrating delay using timer specific routine.. 5344.06 BogoMIPS (lpj=2672032)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672362)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10103-119

c104

name 名前Jo Yeong Uk
date 日付November 12, 2008 17:08:46 UTC 2008 年 11 月 13 日 (木) 2 時 8 分 46 秒 (日本時間)
composite number 合成数
32222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<104>
prime factors 素因数
26042266802856807831656958190462844209<38>
1237304819359560517371280897725082910678283633399794566410902570269<67>
factorization results 素因数分解の結果
Number: 32221_103
N=32222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
  ( 104 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=26042266802856807831656958190462844209 (pp38)
 r2=1237304819359560517371280897725082910678283633399794566410902570269 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.49 hours.
Scaled time: 1.16 units (timescale=2.386).
Factorization parameters were as follows:
n: 32222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
m: 1000000000000000000000
deg: 5
c5: 29
c0: -1100
skew: 2.07
type: snfs
rlim: 240000
alim: 240000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 240000/240000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [120000, 240001)
Primes: RFBsize:21221, AFBsize:21040, largePrimes:923530 encountered
Relations: rels:825591, finalFF:66348
Max relations in full relation-set: 28
Initial matrix: 42328 x 66348 with sparse part having weight 3320261.
Pruned matrix : 37600 x 37875 with weight 1286928.
Total sieving time: 0.47 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106,5,0,0,0,0,0,0,0,0,240000,240000,25,25,44,44,2.2,2.2,20000
total time: 0.49 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047212k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673807)
Calibrating delay using timer specific routine.. 5344.58 BogoMIPS (lpj=2672293)
Calibrating delay using timer specific routine.. 5344.06 BogoMIPS (lpj=2672032)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672362)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10112-119

c108

name 名前Serge Batalov
date 日付November 13, 2008 02:49:52 UTC 2008 年 11 月 13 日 (木) 11 時 49 分 52 秒 (日本時間)
composite number 合成数
182788968874820441353419950092308429281784322883477074796615756787301083056155922772290957177587046943358741<108>
prime factors 素因数
42623589369304135120774617930199<32>
4288446176859474104734338555208678726328744931833395919458818562976729123059<76>
factorization results 素因数分解の結果
SNFS difficulty: 114 digits.
Divisors found:
 r1=42623589369304135120774617930199
 r2=4288446176859474104734338555208678726328744931833395919458818562976729123059
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 182788968874820441353419950092308429281784322883477074796615756787301083056155922772290957177587046943358741
m: 20000000000000000000000
deg: 5
c5: 725
c0: -88
skew: 0.66
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [280000, 380001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 83409 x 83622
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,114,5,0,0,0,0,0,0,0,0,560000,560000,25,25,46,46,2.4,2.4,100000
total time: 0.40 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
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10115-119

c97

name 名前Robert Backstrom
date 日付November 13, 2008 12:53:27 UTC 2008 年 11 月 13 日 (木) 21 時 53 分 27 秒 (日本時間)
composite number 合成数
1326711191553376550163673662779438743163331933916517632567212608197880091269011163554673702460289<97>
prime factors 素因数
521485095599320202335987001799276507049523<42>
2544101840587878969578582280072469936142006701535179643<55>
factorization results 素因数分解の結果
Number: n
N=1326711191553376550163673662779438743163331933916517632567212608197880091269011163554673702460289
  ( 97 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=521485095599320202335987001799276507049523 (pp42)
 r2=2544101840587878969578582280072469936142006701535179643 (pp55)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.82 hours.
Scaled time: 1.50 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_3_2_114_1
n: 1326711191553376550163673662779438743163331933916517632567212608197880091269011163554673702460289
type: snfs
skew: 0.82
deg: 5
c5: 29
c0: -11
m: 100000000000000000000000
rlim: 500000
alim: 500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [100000, 180001)
Primes: RFBsize:41538, AFBsize:41708, largePrimes:3125611 encountered
Relations: rels:2743279, finalFF:139616
Max relations in full relation-set: 48
Initial matrix: 83311 x 139616 with sparse part having weight 13302111.
Pruned matrix : 68753 x 69233 with weight 3681833.
Total sieving time: 0.74 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.02 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,500000,500000,27,27,54,54,2.5,2.5,50000
total time: 0.82 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10116-119

c116

name 名前Sinkiti Sibata
date 日付November 13, 2008 09:36:05 UTC 2008 年 11 月 13 日 (木) 18 時 36 分 5 秒 (日本時間)
composite number 合成数
35802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469<116>
prime factors 素因数
9688360407028247869586928337915901923<37>
3695410537146224236337805119314202453465253249831680260806032183583448457242903<79>
factorization results 素因数分解の結果
Number: 32221_116
N=35802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469
  ( 116 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=9688360407028247869586928337915901923 (pp37)
 r2=3695410537146224236337805119314202453465253249831680260806032183583448457242903 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.34 hours.
Scaled time: 4.67 units (timescale=1.997).
Factorization parameters were as follows:
name: 32221_116
n: 35802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469
m: 200000000000000000000000
deg: 5
c5: 145
c0: -176
skew: 1.04
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 585001)
Primes: RFBsize:54309, AFBsize:53853, largePrimes:1347054 encountered
Relations: rels:1350498, finalFF:174389
Max relations in full relation-set: 28
Initial matrix: 108229 x 174389 with sparse part having weight 8537228.
Pruned matrix : 85073 x 85678 with weight 3131755.
Total sieving time: 2.25 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 2.34 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10117-119

c104

name 名前Serge Batalov
date 日付November 13, 2008 18:14:03 UTC 2008 年 11 月 14 日 (金) 3 時 14 分 3 秒 (日本時間)
composite number 合成数
14233627436034098355590986715425150232984508544339962709686067006412690267978679376207813601632332734143<104>
prime factors 素因数
4553468733578991760986408024122748403<37>
3125886718200121590683661018583279104542738986002111542287194104581<67>
factorization results 素因数分解の結果
SNFS difficulty: 118 digits.
Divisors found:
 r1=4553468733578991760986408024122748403
 r2=3125886718200121590683661018583279104542738986002111542287194104581
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 14233627436034098355590986715425150232984508544339962709686067006412690267978679376207813601632332734143
m: 100000000000000000000000
deg: 5
c5: 2900
c0: -11
skew: 0.33
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.4
alambda: 2.4
Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [340000, 490001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 92898 x 93126
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,118,5,0,0,0,0,0,0,0,0,680000,680000,25,25,46,46,2.4,2.4,50000
total time: 0.90 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
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10118-119

c101

name 名前Robert Backstrom
date 日付November 13, 2008 17:41:21 UTC 2008 年 11 月 14 日 (金) 2 時 41 分 21 秒 (日本時間)
composite number 合成数
41950048695845315860193362149200760634222247656007637390076886198570583579181328177989365034928016971<101>
prime factors 素因数
16265156725388180254811666957299274188190461943863<50>
2579135842593250281246313099668077876980060807295117<52>
factorization results 素因数分解の結果
Number: n
N=41950048695845315860193362149200760634222247656007637390076886198570583579181328177989365034928016971
  ( 101 digits)
SNFS difficulty: 119 digits.
Divisors found:

 r1=16265156725388180254811666957299274188190461943863 (pp50)
 r2=2579135842593250281246313099668077876980060807295117 (pp52)

Ggnfs  : 0.77.1-20051202-athlon
Msieve : 1.38
Total time:  1.25 hours.
Scaled time: 1.62 units (timescale=1.298).
Factorization parameters were as follows:
name: KA_3_2_117_1
n: 41950048695845315860193362149200760634222247656007637390076886198570583579181328177989365034928016971
type: snfs
skew: 0.21
deg: 5
c5: 29000
c0: -11
m: 100000000000000000000000
rlim: 500000
alim: 500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [250000, 410000)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3902474
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 114032 x 114276
Total sieving time: 1.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,119,5,0,0,0,0,0,0,0,0,500000,500000,27,27,54,54,2.5,2.5,50000
total time: 1.25 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10120-119

c104

name 名前Serge Batalov
date 日付November 13, 2008 07:44:35 UTC 2008 年 11 月 13 日 (木) 16 時 44 分 35 秒 (日本時間)
composite number 合成数
10500109995467079653618700393101576418348639811018615193020274232640086317642184622406460042272929763351<104>
prime factors 素因数
15773947874373735667035781810915813703050741501<47>
665661512203010225589354648368830774478561194130089746851<57>
factorization results 素因数分解の結果
SNFS difficulty: 121 digits.
Divisors found:
 r1=15773947874373735667035781810915813703050741501
 r2=665661512203010225589354648368830774478561194130089746851
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 10500109995467079653618700393101576418348639811018615193020274232640086317642184622406460042272929763351
m: 1000000000000000000000000
deg: 5
c5: 29
c0: -11
skew: 0.82
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 520001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 93804 x 94038
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,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.4,2.4,50000
total time: 1.10 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
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10124-119

c91

name 名前Sinkiti Sibata
date 日付November 13, 2008 09:21:19 UTC 2008 年 11 月 13 日 (木) 18 時 21 分 19 秒 (日本時間)
composite number 合成数
2276727962755844728256011612134281078047322333991346968381899355391434077181621330895566917<91>
prime factors 素因数
18249620940906744369260499117790083340667<41>
124754808339746480688040731128208190032343004178751<51>
factorization results 素因数分解の結果
Thu Nov 13 15:18:50 2008  Msieve v. 1.38
Thu Nov 13 15:18:50 2008  random seeds: d4f311d8 1a1720a9
Thu Nov 13 15:18:50 2008  factoring 2276727962755844728256011612134281078047322333991346968381899355391434077181621330895566917 (91 digits)
Thu Nov 13 15:18:52 2008  searching for 15-digit factors
Thu Nov 13 15:18:53 2008  commencing quadratic sieve (91-digit input)
Thu Nov 13 15:18:53 2008  using multiplier of 2
Thu Nov 13 15:18:53 2008  using 64kb Pentium 4 sieve core
Thu Nov 13 15:18:53 2008  sieve interval: 18 blocks of size 65536
Thu Nov 13 15:18:53 2008  processing polynomials in batches of 6
Thu Nov 13 15:18:54 2008  using a sieve bound of 1680377 (63529 primes)
Thu Nov 13 15:18:54 2008  using large prime bound of 154594684 (27 bits)
Thu Nov 13 15:18:54 2008  using double large prime bound of 550237418754584 (42-49 bits)
Thu Nov 13 15:18:54 2008  using trial factoring cutoff of 49 bits
Thu Nov 13 15:18:54 2008  polynomial 'A' values have 12 factors
Thu Nov 13 16:23:57 2008  10634 relations (6786 full + 3848 combined from 305664 partial), need 63625
Thu Nov 13 16:23:57 2008  elapsed time 01:05:07
Thu Nov 13 16:33:29 2008  
Thu Nov 13 16:33:29 2008  
Thu Nov 13 16:33:29 2008  Msieve v. 1.38
Thu Nov 13 16:33:29 2008  random seeds: 2f4d82cd b2c5050e
Thu Nov 13 16:33:29 2008  factoring 2276727962755844728256011612134281078047322333991346968381899355391434077181621330895566917 (91 digits)
Thu Nov 13 16:33:30 2008  searching for 15-digit factors
Thu Nov 13 16:33:32 2008  commencing quadratic sieve (91-digit input)
Thu Nov 13 16:33:32 2008  using multiplier of 2
Thu Nov 13 16:33:32 2008  using 64kb Pentium 4 sieve core
Thu Nov 13 16:33:32 2008  sieve interval: 18 blocks of size 65536
Thu Nov 13 16:33:32 2008  processing polynomials in batches of 6
Thu Nov 13 16:33:32 2008  using a sieve bound of 1680377 (63529 primes)
Thu Nov 13 16:33:32 2008  using large prime bound of 154594684 (27 bits)
Thu Nov 13 16:33:32 2008  using double large prime bound of 550237418754584 (42-49 bits)
Thu Nov 13 16:33:32 2008  using trial factoring cutoff of 49 bits
Thu Nov 13 16:33:32 2008  polynomial 'A' values have 12 factors
Thu Nov 13 16:33:33 2008  restarting with 6786 full and 305664 partial relations
Thu Nov 13 18:03:34 2008  63740 relations (16320 full + 47420 combined from 728152 partial), need 63625
Thu Nov 13 18:03:37 2008  begin with 744472 relations
Thu Nov 13 18:03:38 2008  reduce to 158551 relations in 10 passes
Thu Nov 13 18:03:38 2008  attempting to read 158551 relations
Thu Nov 13 18:03:42 2008  recovered 158551 relations
Thu Nov 13 18:03:42 2008  recovered 138092 polynomials
Thu Nov 13 18:03:42 2008  attempting to build 63740 cycles
Thu Nov 13 18:03:42 2008  found 63740 cycles in 6 passes
Thu Nov 13 18:03:42 2008  distribution of cycle lengths:
Thu Nov 13 18:03:42 2008     length 1 : 16320
Thu Nov 13 18:03:42 2008     length 2 : 11921
Thu Nov 13 18:03:42 2008     length 3 : 11266
Thu Nov 13 18:03:42 2008     length 4 : 8632
Thu Nov 13 18:03:42 2008     length 5 : 6259
Thu Nov 13 18:03:42 2008     length 6 : 4000
Thu Nov 13 18:03:42 2008     length 7 : 2396
Thu Nov 13 18:03:42 2008     length 9+: 2946
Thu Nov 13 18:03:42 2008  largest cycle: 16 relations
Thu Nov 13 18:03:42 2008  matrix is 63529 x 63740 (15.8 MB) with weight 3885568 (60.96/col)
Thu Nov 13 18:03:42 2008  sparse part has weight 3885568 (60.96/col)
Thu Nov 13 18:03:44 2008  filtering completed in 3 passes
Thu Nov 13 18:03:44 2008  matrix is 59875 x 59938 (14.9 MB) with weight 3676757 (61.34/col)
Thu Nov 13 18:03:44 2008  sparse part has weight 3676757 (61.34/col)
Thu Nov 13 18:03:44 2008  saving the first 48 matrix rows for later
Thu Nov 13 18:03:44 2008  matrix is 59827 x 59938 (9.3 MB) with weight 2874020 (47.95/col)
Thu Nov 13 18:03:44 2008  sparse part has weight 2084673 (34.78/col)
Thu Nov 13 18:03:44 2008  matrix includes 64 packed rows
Thu Nov 13 18:03:44 2008  using block size 21845 for processor cache size 512 kB
Thu Nov 13 18:03:45 2008  commencing Lanczos iteration
Thu Nov 13 18:03:45 2008  memory use: 9.1 MB
Thu Nov 13 18:04:21 2008  lanczos halted after 948 iterations (dim = 59824)
Thu Nov 13 18:04:22 2008  recovered 15 nontrivial dependencies
Thu Nov 13 18:04:22 2008  prp41 factor: 18249620940906744369260499117790083340667
Thu Nov 13 18:04:22 2008  prp51 factor: 124754808339746480688040731128208190032343004178751
Thu Nov 13 18:04:22 2008  elapsed time 01:30:53

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10127-119

c87

name 名前Robert Backstrom
date 日付November 13, 2008 00:47:45 UTC 2008 年 11 月 13 日 (木) 9 時 47 分 45 秒 (日本時間)
composite number 合成数
356959112968392041887915367515924314281826255548460137183739424614888414281767011540269<87>
prime factors 素因数
95070682214954468326311130551196839108947<41>
3754670784430775196082684395797432868827232127<46>
factorization results 素因数分解の結果
Thu Nov 13 11:10:56 2008  
Thu Nov 13 11:10:56 2008  
Thu Nov 13 11:10:56 2008  Msieve v. 1.38
Thu Nov 13 11:10:56 2008  random seeds: 43f61fc0 27f42988
Thu Nov 13 11:10:56 2008  factoring 356959112968392041887915367515924314281826255548460137183739424614888414281767011540269 (87 digits)
Thu Nov 13 11:10:56 2008  searching for 15-digit factors
Thu Nov 13 11:10:57 2008  commencing quadratic sieve (87-digit input)
Thu Nov 13 11:10:57 2008  using multiplier of 5
Thu Nov 13 11:10:57 2008  using 64kb Opteron sieve core
Thu Nov 13 11:10:57 2008  sieve interval: 10 blocks of size 65536
Thu Nov 13 11:10:57 2008  processing polynomials in batches of 11
Thu Nov 13 11:10:57 2008  using a sieve bound of 1489637 (56536 primes)
Thu Nov 13 11:10:57 2008  using large prime bound of 119170960 (26 bits)
Thu Nov 13 11:10:57 2008  using double large prime bound of 344434582165760 (42-49 bits)
Thu Nov 13 11:10:57 2008  using trial factoring cutoff of 49 bits
Thu Nov 13 11:10:57 2008  polynomial 'A' values have 11 factors
Thu Nov 13 11:13:36 2008  
Thu Nov 13 11:13:36 2008  
Thu Nov 13 11:13:36 2008  Msieve v. 1.38
Thu Nov 13 11:13:36 2008  random seeds: 1e468de8 f26209d1
Thu Nov 13 11:13:36 2008  factoring 356959112968392041887915367515924314281826255548460137183739424614888414281767011540269 (87 digits)
Thu Nov 13 11:13:37 2008  searching for 15-digit factors
Thu Nov 13 11:13:37 2008  commencing quadratic sieve (87-digit input)
Thu Nov 13 11:13:37 2008  using multiplier of 5
Thu Nov 13 11:13:37 2008  using 64kb Opteron sieve core
Thu Nov 13 11:13:37 2008  sieve interval: 10 blocks of size 65536
Thu Nov 13 11:13:37 2008  processing polynomials in batches of 11
Thu Nov 13 11:13:37 2008  using a sieve bound of 1489637 (56536 primes)
Thu Nov 13 11:13:37 2008  using large prime bound of 119170960 (26 bits)
Thu Nov 13 11:13:37 2008  using double large prime bound of 344434582165760 (42-49 bits)
Thu Nov 13 11:13:37 2008  using trial factoring cutoff of 49 bits
Thu Nov 13 11:13:37 2008  polynomial 'A' values have 11 factors
Thu Nov 13 11:13:37 2008  restarting with 1035 full and 38221 partial relations
Thu Nov 13 11:41:13 2008  56955 relations (16306 full + 40649 combined from 591487 partial), need 56632
Thu Nov 13 11:41:14 2008  begin with 607793 relations
Thu Nov 13 11:41:14 2008  reduce to 135178 relations in 9 passes
Thu Nov 13 11:41:14 2008  attempting to read 135178 relations
Thu Nov 13 11:41:15 2008  recovered 135178 relations
Thu Nov 13 11:41:15 2008  recovered 110766 polynomials
Thu Nov 13 11:41:15 2008  attempting to build 56955 cycles
Thu Nov 13 11:41:15 2008  found 56955 cycles in 6 passes
Thu Nov 13 11:41:16 2008  distribution of cycle lengths:
Thu Nov 13 11:41:16 2008     length 1 : 16306
Thu Nov 13 11:41:16 2008     length 2 : 11296
Thu Nov 13 11:41:16 2008     length 3 : 10050
Thu Nov 13 11:41:16 2008     length 4 : 7430
Thu Nov 13 11:41:16 2008     length 5 : 4980
Thu Nov 13 11:41:16 2008     length 6 : 3050
Thu Nov 13 11:41:16 2008     length 7 : 1794
Thu Nov 13 11:41:16 2008     length 9+: 2049
Thu Nov 13 11:41:16 2008  largest cycle: 20 relations
Thu Nov 13 11:41:16 2008  matrix is 56536 x 56955 (13.2 MB) with weight 3235569 (56.81/col)
Thu Nov 13 11:41:16 2008  sparse part has weight 3235569 (56.81/col)
Thu Nov 13 11:41:16 2008  filtering completed in 3 passes
Thu Nov 13 11:41:16 2008  matrix is 51499 x 51562 (12.0 MB) with weight 2951835 (57.25/col)
Thu Nov 13 11:41:16 2008  sparse part has weight 2951835 (57.25/col)
Thu Nov 13 11:41:17 2008  saving the first 48 matrix rows for later
Thu Nov 13 11:41:17 2008  matrix is 51451 x 51562 (8.2 MB) with weight 2368789 (45.94/col)
Thu Nov 13 11:41:17 2008  sparse part has weight 1827722 (35.45/col)
Thu Nov 13 11:41:17 2008  matrix includes 64 packed rows
Thu Nov 13 11:41:17 2008  using block size 20624 for processor cache size 1024 kB
Thu Nov 13 11:41:17 2008  commencing Lanczos iteration
Thu Nov 13 11:41:17 2008  memory use: 7.7 MB
Thu Nov 13 11:41:33 2008  lanczos halted after 816 iterations (dim = 51445)
Thu Nov 13 11:41:34 2008  recovered 14 nontrivial dependencies
Thu Nov 13 11:41:34 2008  prp41 factor: 95070682214954468326311130551196839108947
Thu Nov 13 11:41:34 2008  prp46 factor: 3754670784430775196082684395797432868827232127
Thu Nov 13 11:41:34 2008  elapsed time 00:27:58

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10128-119

c116

name 名前Sinkiti Sibata
date 日付November 13, 2008 13:22:53 UTC 2008 年 11 月 13 日 (木) 22 時 22 分 53 秒 (日本時間)
composite number 合成数
41943494586237815139200117024764776394705485795105030962417067283970524902850117778680933664992870761876614211212633<116>
prime factors 素因数
195630407555737641475441597959544100446483683136103342557<57>
214401713467205088259322269652181056024814754718303452106669<60>
factorization results 素因数分解の結果
Number: 32221_128
N=41943494586237815139200117024764776394705485795105030962417067283970524902850117778680933664992870761876614211212633
  ( 116 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=195630407555737641475441597959544100446483683136103342557 (pp57)
 r2=214401713467205088259322269652181056024814754718303452106669 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 7.51 hours.
Scaled time: 7.60 units (timescale=1.011).
Factorization parameters were as follows:
name: 32221_128
n: 41943494586237815139200117024764776394705485795105030962417067283970524902850117778680933664992870761876614211212633
m: 50000000000000000000000000
deg: 5
c5: 232
c0: -275
skew: 1.03
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 1180001)
Primes: RFBsize:82832, AFBsize:82349, largePrimes:3595337 encountered
Relations: rels:4154092, finalFF:780966
Max relations in full relation-set: 28
Initial matrix: 165248 x 780966 with sparse part having weight 77798435.
Pruned matrix : 113944 x 114834 with weight 15153460.
Total sieving time: 7.34 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 7.51 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10129-119

c114

name 名前Sinkiti Sibata
date 日付November 14, 2008 02:25:11 UTC 2008 年 11 月 14 日 (金) 11 時 25 分 11 秒 (日本時間)
composite number 合成数
110338280487282237783468003594113762991473241073633009146320341846348322084077083770113293431200809692433557401531<114>
prime factors 素因数
14136908388814870635901620792537073<35>
7804979522579487282216412714267347177075015773931605314775746515999118728496747<79>
factorization results 素因数分解の結果
Number: 32221_129
N=110338280487282237783468003594113762991473241073633009146320341846348322084077083770113293431200809692433557401531
  ( 114 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=14136908388814870635901620792537073 (pp35)
 r2=7804979522579487282216412714267347177075015773931605314775746515999118728496747 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.61 hours.
Scaled time: 9.24 units (timescale=2.003).
Factorization parameters were as follows:
name: 32221_129
n: 110338280487282237783468003594113762991473241073633009146320341846348322084077083770113293431200809692433557401531
m: 100000000000000000000000000
deg: 5
c5: 29
c0: -110
skew: 1.31
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 995001)
Primes: RFBsize:84976, AFBsize:84869, largePrimes:2838036 encountered
Relations: rels:2727089, finalFF:203434
Max relations in full relation-set: 28
Initial matrix: 169910 x 203434 with sparse part having weight 16356166.
Pruned matrix : 159952 x 160865 with weight 10455858.
Total sieving time: 4.32 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time: 4.61 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10130-119

c117

name 名前Sinkiti Sibata
date 日付November 14, 2008 05:06:05 UTC 2008 年 11 月 14 日 (金) 14 時 6 分 5 秒 (日本時間)
composite number 合成数
557562485302812458556720381686020624493646449535865520700068302534868504103654261098408140968189266407221764708785591<117>
prime factors 素因数
84078455171865397847467760865288765955666013538007<50>
6631454921038865667129918457268982086762167608648817336351681684513<67>
factorization results 素因数分解の結果
Number: 32221_130
N=557562485302812458556720381686020624493646449535865520700068302534868504103654261098408140968189266407221764708785591
  ( 117 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=84078455171865397847467760865288765955666013538007 (pp50)
 r2=6631454921038865667129918457268982086762167608648817336351681684513 (pp67)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.00 hours.
Scaled time: 8.03 units (timescale=2.010).
Factorization parameters were as follows:
name: 32221_130
n: 557562485302812458556720381686020624493646449535865520700068302534868504103654261098408140968189266407221764708785591
m: 100000000000000000000000000
deg: 5
c5: 29
c0: -11
skew: 0.82
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 895001)
Primes: RFBsize:84976, AFBsize:84739, largePrimes:3093783 encountered
Relations: rels:3249328, finalFF:441711
Max relations in full relation-set: 28
Initial matrix: 169780 x 441711 with sparse part having weight 34736385.
Pruned matrix : 110817 x 111729 with weight 7836212.
Total sieving time: 3.80 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time: 4.00 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10131-119

c114

name 名前Sinkiti Sibata
date 日付November 14, 2008 08:23:37 UTC 2008 年 11 月 14 日 (金) 17 時 23 分 37 秒 (日本時間)
composite number 合成数
131771908412668642055273055352670569886186700122328238744264724206595060935364524814258713765988320913048238599587<114>
prime factors 素因数
17995042551372841939533353574619370418923120791<47>
7322678345243243790674472867484716011829823748915723894088465209557<67>
factorization results 素因数分解の結果
Number: 32221_131
N=131771908412668642055273055352670569886186700122328238744264724206595060935364524814258713765988320913048238599587
  ( 114 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=17995042551372841939533353574619370418923120791 (pp47)
 r2=7322678345243243790674472867484716011829823748915723894088465209557 (pp67)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.68 hours.
Scaled time: 11.38 units (timescale=2.003).
Factorization parameters were as follows:
name: 32221_131
n: 131771908412668642055273055352670569886186700122328238744264724206595060935364524814258713765988320913048238599587
m: 200000000000000000000000000
deg: 5
c5: 145
c0: -176
skew: 1.04
type: snfs
lss: 1
rlim: 1180000
alim: 1180000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1180000/1180000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [590000, 1115001)
Primes: RFBsize:91490, AFBsize:90773, largePrimes:3248433 encountered
Relations: rels:3371748, finalFF:409329
Max relations in full relation-set: 28
Initial matrix: 182330 x 409329 with sparse part having weight 35732054.
Pruned matrix : 135105 x 136080 with weight 9984945.
Total sieving time: 5.40 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1180000,1180000,26,26,47,47,2.3,2.3,75000
total time: 5.68 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10132-119

c94

name 名前Serge Batalov
date 日付November 12, 2008 18:05:52 UTC 2008 年 11 月 13 日 (木) 3 時 5 分 52 秒 (日本時間)
composite number 合成数
3502032757117409534980738991400735136662846964700658227370446263227088733772439355276294527373<94>
prime factors 素因数
80414506743700883354190522171791<32>
43549763580334770575095184643964731287732358444855048847732003<62>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1855890600
Step 1 took 8644ms
Step 2 took 7541ms
********** Factor found in step 2: 80414506743700883354190522171791
Found probable prime factor of 32 digits: 80414506743700883354190522171791
Probable prime cofactor 43549763580334770575095184643964731287732358444855048847732003 has 62 digits
Input number is 1326711191553376550163673662779438743163331933916517632567212608197880091269011163554673702460289 (97 digits)
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10137-119

c91

name 名前Sinkiti Sibata
date 日付November 13, 2008 12:17:25 UTC 2008 年 11 月 13 日 (木) 21 時 17 分 25 秒 (日本時間)
composite number 合成数
1019762691080994653046278600591474071223441368709160737667020953237916146217839070260521097<91>
prime factors 素因数
4775676152509569129014103327365320999<37>
213532630462205808407077683016256587935549400085341903<54>
factorization results 素因数分解の結果
Thu Nov 13 18:23:32 2008  Msieve v. 1.38
Thu Nov 13 18:23:32 2008  random seeds: c41d1ad7 11a0be03
Thu Nov 13 18:23:32 2008  factoring 1019762691080994653046278600591474071223441368709160737667020953237916146217839070260521097 (91 digits)
Thu Nov 13 18:23:33 2008  searching for 15-digit factors
Thu Nov 13 18:23:35 2008  commencing quadratic sieve (91-digit input)
Thu Nov 13 18:23:35 2008  using multiplier of 1
Thu Nov 13 18:23:35 2008  using 64kb Pentium 4 sieve core
Thu Nov 13 18:23:35 2008  sieve interval: 18 blocks of size 65536
Thu Nov 13 18:23:35 2008  processing polynomials in batches of 6
Thu Nov 13 18:23:35 2008  using a sieve bound of 1652503 (62230 primes)
Thu Nov 13 18:23:35 2008  using large prime bound of 145420264 (27 bits)
Thu Nov 13 18:23:35 2008  using double large prime bound of 492861412574344 (42-49 bits)
Thu Nov 13 18:23:35 2008  using trial factoring cutoff of 49 bits
Thu Nov 13 18:23:35 2008  polynomial 'A' values have 11 factors
Thu Nov 13 21:02:39 2008  62350 relations (16199 full + 46151 combined from 703587 partial), need 62326
Thu Nov 13 21:02:42 2008  begin with 719786 relations
Thu Nov 13 21:02:43 2008  reduce to 154720 relations in 9 passes
Thu Nov 13 21:02:43 2008  attempting to read 154720 relations
Thu Nov 13 21:02:47 2008  recovered 154720 relations
Thu Nov 13 21:02:47 2008  recovered 134659 polynomials
Thu Nov 13 21:02:47 2008  attempting to build 62350 cycles
Thu Nov 13 21:02:47 2008  found 62350 cycles in 5 passes
Thu Nov 13 21:02:47 2008  distribution of cycle lengths:
Thu Nov 13 21:02:47 2008     length 1 : 16199
Thu Nov 13 21:02:47 2008     length 2 : 11735
Thu Nov 13 21:02:47 2008     length 3 : 10711
Thu Nov 13 21:02:47 2008     length 4 : 8301
Thu Nov 13 21:02:47 2008     length 5 : 6078
Thu Nov 13 21:02:47 2008     length 6 : 3919
Thu Nov 13 21:02:47 2008     length 7 : 2405
Thu Nov 13 21:02:47 2008     length 9+: 3002
Thu Nov 13 21:02:47 2008  largest cycle: 17 relations
Thu Nov 13 21:02:48 2008  matrix is 62230 x 62350 (15.6 MB) with weight 3828185 (61.40/col)
Thu Nov 13 21:02:48 2008  sparse part has weight 3828185 (61.40/col)
Thu Nov 13 21:02:49 2008  filtering completed in 3 passes
Thu Nov 13 21:02:49 2008  matrix is 58550 x 58614 (14.8 MB) with weight 3635067 (62.02/col)
Thu Nov 13 21:02:49 2008  sparse part has weight 3635067 (62.02/col)
Thu Nov 13 21:02:49 2008  saving the first 48 matrix rows for later
Thu Nov 13 21:02:49 2008  matrix is 58502 x 58614 (11.3 MB) with weight 3100494 (52.90/col)
Thu Nov 13 21:02:49 2008  sparse part has weight 2605874 (44.46/col)
Thu Nov 13 21:02:49 2008  matrix includes 64 packed rows
Thu Nov 13 21:02:49 2008  using block size 21845 for processor cache size 512 kB
Thu Nov 13 21:02:50 2008  commencing Lanczos iteration
Thu Nov 13 21:02:50 2008  memory use: 10.0 MB
Thu Nov 13 21:03:30 2008  lanczos halted after 926 iterations (dim = 58500)
Thu Nov 13 21:03:31 2008  recovered 15 nontrivial dependencies
Thu Nov 13 21:03:31 2008  prp37 factor: 4775676152509569129014103327365320999
Thu Nov 13 21:03:31 2008  prp54 factor: 213532630462205808407077683016256587935549400085341903
Thu Nov 13 21:03:31 2008  elapsed time 02:39:59

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10138-119

c108

name 名前Sinkiti Sibata
date 日付November 14, 2008 12:09:17 UTC 2008 年 11 月 14 日 (金) 21 時 9 分 17 秒 (日本時間)
composite number 合成数
124895113765886153948413921083715265507933979125035450661884648697806100529531289100210133846332979795301937<108>
prime factors 素因数
37790779259699711501744662535598103375993317541545193<53>
3304909721696979379133654104517864011655110436713126409<55>
factorization results 素因数分解の結果
Number: 32221_138
N=124895113765886153948413921083715265507933979125035450661884648697806100529531289100210133846332979795301937
  ( 108 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=37790779259699711501744662535598103375993317541545193 (pp53)
 r2=3304909721696979379133654104517864011655110436713126409 (pp55)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.18 hours.
Scaled time: 16.27 units (timescale=1.006).
Factorization parameters were as follows:
name: 32221_138
n: 124895113765886153948413921083715265507933979125035450661884648697806100529531289100210133846332979795301937
m: 5000000000000000000000000000
deg: 5
c5: 232
c0: -275
skew: 1.03
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 2080001)
Primes: RFBsize:118376, AFBsize:117850, largePrimes:4386409 encountered
Relations: rels:5202691, finalFF:916162
Max relations in full relation-set: 28
Initial matrix: 236293 x 916162 with sparse part having weight 106553532.
Pruned matrix : 166193 x 167438 with weight 30853001.
Total sieving time: 15.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 16.18 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10139-119

c132

name 名前Sinkiti Sibata
date 日付November 14, 2008 07:32:28 UTC 2008 年 11 月 14 日 (金) 16 時 32 分 28 秒 (日本時間)
composite number 合成数
531914180430546781493585341506080996065282238222090718363325158491029242585516636073622579203768529063105749944418177971958735323119<132>
prime factors 素因数
281767272770529021750867390333886008734104756792620853<54>
1887778432180578846158888755050078279456816964415040725088239206457139407989523<79>
factorization results 素因数分解の結果
Number: 32221_139
N=531914180430546781493585341506080996065282238222090718363325158491029242585516636073622579203768529063105749944418177971958735323119
  ( 132 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=281767272770529021750867390333886008734104756792620853 (pp54)
 r2=1887778432180578846158888755050078279456816964415040725088239206457139407989523 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 14.17 hours.
Scaled time: 14.30 units (timescale=1.009).
Factorization parameters were as follows:
name: 32221_139
n: 531914180430546781493585341506080996065282238222090718363325158491029242585516636073622579203768529063105749944418177971958735323119
m: 10000000000000000000000000000
deg: 5
c5: 29
c0: -110
skew: 1.31
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 2100001)
Primes: RFBsize:121127, AFBsize:121406, largePrimes:4348465 encountered
Relations: rels:5015081, finalFF:747625
Max relations in full relation-set: 28
Initial matrix: 242598 x 747625 with sparse part having weight 87264402.
Pruned matrix : 176117 x 177393 with weight 29807612.
Total sieving time: 13.78 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 14.17 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10141-119

c135

name 名前Sinkiti Sibata
date 日付November 14, 2008 02:21:39 UTC 2008 年 11 月 14 日 (金) 11 時 21 分 39 秒 (日本時間)
composite number 合成数
371818625284740946976138232010385996838746762501506987298945008243283029222238646348394282675776581983436198238151547553352030168799117<135>
prime factors 素因数
12804731909514238216319764752004572447961<41>
29037595469567804574615307737073820889361614690525154000942625597804357574692524096735208662997<95>
factorization results 素因数分解の結果
Number: 32221_141
N=371818625284740946976138232010385996838746762501506987298945008243283029222238646348394282675776581983436198238151547553352030168799117
  ( 135 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=12804731909514238216319764752004572447961 (pp41)
 r2=29037595469567804574615307737073820889361614690525154000942625597804357574692524096735208662997 (pp95)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.98 hours.
Scaled time: 17.13 units (timescale=1.009).
Factorization parameters were as follows:
name: 32221_141
n: 371818625284740946976138232010385996838746762501506987298945008243283029222238646348394282675776581983436198238151547553352030168799117
m: 20000000000000000000000000000
deg: 5
c5: 145
c0: -176
skew: 1.04
type: snfs
lss: 1
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [870000, 2170001)
Primes: RFBsize:130902, AFBsize:129901, largePrimes:4460730 encountered
Relations: rels:5208342, finalFF:863036
Max relations in full relation-set: 28
Initial matrix: 260870 x 863036 with sparse part having weight 99152444.
Pruned matrix : 181833 x 183201 with weight 30124554.
Total sieving time: 16.57 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1740000,1740000,26,26,48,48,2.3,2.3,100000
total time: 16.98 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10142-119

c99

name 名前Sinkiti Sibata
date 日付November 15, 2008 11:40:56 UTC 2008 年 11 月 15 日 (土) 20 時 40 分 56 秒 (日本時間)
composite number 合成数
582736517672520719845325286851715855979999310291647305857501595762410574799373037350831074712246341<99>
prime factors 素因数
45143496014853321725780216738462753<35>
12908537643623924412394518260364827954583231327679114647926028197<65>
factorization results 素因数分解の結果
Sat Nov 15 05:00:32 2008  Msieve v. 1.38
Sat Nov 15 05:00:32 2008  random seeds: bade0d0f 2d3a8c11
Sat Nov 15 05:00:32 2008  factoring 582736517672520719845325286851715855979999310291647305857501595762410574799373037350831074712246341 (99 digits)
Sat Nov 15 05:00:34 2008  searching for 15-digit factors
Sat Nov 15 05:00:36 2008  commencing quadratic sieve (99-digit input)
Sat Nov 15 05:00:36 2008  using multiplier of 19
Sat Nov 15 05:00:36 2008  using 64kb Pentium 4 sieve core
Sat Nov 15 05:00:36 2008  sieve interval: 18 blocks of size 65536
Sat Nov 15 05:00:36 2008  processing polynomials in batches of 6
Sat Nov 15 05:00:36 2008  using a sieve bound of 2644451 (96471 primes)
Sat Nov 15 05:00:36 2008  using large prime bound of 396667650 (28 bits)
Sat Nov 15 05:00:36 2008  using double large prime bound of 3000324291093600 (43-52 bits)
Sat Nov 15 05:00:36 2008  using trial factoring cutoff of 52 bits
Sat Nov 15 05:00:36 2008  polynomial 'A' values have 13 factors
Sat Nov 15 20:32:14 2008  96672 relations (23219 full + 73453 combined from 1449879 partial), need 96567
Sat Nov 15 20:32:20 2008  begin with 1473098 relations
Sat Nov 15 20:32:22 2008  reduce to 254199 relations in 11 passes
Sat Nov 15 20:32:22 2008  attempting to read 254199 relations
Sat Nov 15 20:32:31 2008  recovered 254199 relations
Sat Nov 15 20:32:31 2008  recovered 243572 polynomials
Sat Nov 15 20:32:31 2008  attempting to build 96672 cycles
Sat Nov 15 20:32:31 2008  found 96672 cycles in 6 passes
Sat Nov 15 20:32:31 2008  distribution of cycle lengths:
Sat Nov 15 20:32:31 2008     length 1 : 23219
Sat Nov 15 20:32:31 2008     length 2 : 16773
Sat Nov 15 20:32:31 2008     length 3 : 16143
Sat Nov 15 20:32:31 2008     length 4 : 13311
Sat Nov 15 20:32:31 2008     length 5 : 9835
Sat Nov 15 20:32:31 2008     length 6 : 6818
Sat Nov 15 20:32:31 2008     length 7 : 4392
Sat Nov 15 20:32:31 2008     length 9+: 6181
Sat Nov 15 20:32:31 2008  largest cycle: 20 relations
Sat Nov 15 20:32:32 2008  matrix is 96471 x 96672 (26.5 MB) with weight 6549247 (67.75/col)
Sat Nov 15 20:32:32 2008  sparse part has weight 6549247 (67.75/col)
Sat Nov 15 20:32:34 2008  filtering completed in 3 passes
Sat Nov 15 20:32:34 2008  matrix is 92288 x 92352 (25.4 MB) with weight 6297598 (68.19/col)
Sat Nov 15 20:32:34 2008  sparse part has weight 6297598 (68.19/col)
Sat Nov 15 20:32:35 2008  saving the first 48 matrix rows for later
Sat Nov 15 20:32:35 2008  matrix is 92240 x 92352 (15.0 MB) with weight 4898487 (53.04/col)
Sat Nov 15 20:32:35 2008  sparse part has weight 3376150 (36.56/col)
Sat Nov 15 20:32:35 2008  matrix includes 64 packed rows
Sat Nov 15 20:32:35 2008  using block size 21845 for processor cache size 512 kB
Sat Nov 15 20:32:36 2008  commencing Lanczos iteration
Sat Nov 15 20:32:36 2008  memory use: 14.9 MB
Sat Nov 15 20:34:08 2008  lanczos halted after 1460 iterations (dim = 92240)
Sat Nov 15 20:34:08 2008  recovered 19 nontrivial dependencies
Sat Nov 15 20:34:09 2008  prp35 factor: 45143496014853321725780216738462753
Sat Nov 15 20:34:09 2008  prp65 factor: 12908537643623924412394518260364827954583231327679114647926028197
Sat Nov 15 20:34:09 2008  elapsed time 15:33:37

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10145-119

c113

name 名前Sinkiti Sibata
date 日付November 13, 2008 20:41:08 UTC 2008 年 11 月 14 日 (金) 5 時 41 分 8 秒 (日本時間)
composite number 合成数
85949002851930617146158121584271921387063936434731256105680849591756257694871998711424728459121527841533980411907<113>
prime factors 素因数
135401502323718758207541890954286813529<39>
634771412258360352784225937469269688580613867062470480811701781026293841083<75>
factorization results 素因数分解の結果
Number: 32221_145
N=85949002851930617146158121584271921387063936434731256105680849591756257694871998711424728459121527841533980411907
  ( 113 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=135401502323718758207541890954286813529 (pp39)
 r2=634771412258360352784225937469269688580613867062470480811701781026293841083 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 18.25 hours.
Scaled time: 18.45 units (timescale=1.011).
Factorization parameters were as follows:
name: 32221_145
n: 85949002851930617146158121584271921387063936434731256105680849591756257694871998711424728459121527841533980411907
m: 100000000000000000000000000000
deg: 5
c5: 29
c0: -11
skew: 0.82
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 2265001)
Primes: RFBsize:144125, AFBsize:143858, largePrimes:4789852 encountered
Relations: rels:5894049, finalFF:1229568
Max relations in full relation-set: 28
Initial matrix: 288048 x 1229568 with sparse part having weight 133674564.
Pruned matrix : 187931 x 189435 with weight 30832138.
Total sieving time: 17.83 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 18.25 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10147-119

c138

name 名前Serge Batalov
date 日付November 13, 2008 04:39:06 UTC 2008 年 11 月 13 日 (木) 13 時 39 分 6 秒 (日本時間)
composite number 合成数
133010180478445162876285875621075782279046451208838555303715084293857993803205185778981738891730353497872177551901811974373807843761439627<138>
prime factors 素因数
16431167000761097086608455694019255023550612169609099680183<59>
8094992916345143796027360708747750051847185126894636439636003383767537995429069<79>
factorization results 素因数分解の結果
SNFS difficulty: 149 digits.
Divisors found:
 r1=16431167000761097086608455694019255023550612169609099680183
 r2=8094992916345143796027360708747750051847185126894636439636003383767537995429069
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 133010180478445162876285875621075782279046451208838555303715084293857993803205185778981738891730353497872177551901811974373807843761439627
m: 200000000000000000000000000000
deg: 5
c5: 725
c0: -88
skew: 0.66
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [1100000, 3500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 293099 x 293332
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,149,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,45,45,2.3,2.3,200000
total time: 10.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10151-119

c139

name 名前Serge Batalov
date 日付November 13, 2008 03:26:25 UTC 2008 年 11 月 13 日 (木) 12 時 26 分 25 秒 (日本時間)
composite number 合成数
7813977705640757495459638084426216914006912541614897689069671423260906530508429767610690391183379594410723078182389914544623962112437464273<139>
prime factors 素因数
6030710732056972996146796583655799<34>
1295697647062495140482578388904535513056221855990277044863111841403601357591160208257520544152967493582327<106>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1393290503
Step 1 took 16349ms
Step 2 took 10892ms
********** Factor found in step 2: 6030710732056972996146796583655799
Found probable prime factor of 34 digits: 6030710732056972996146796583655799
Probable prime cofactor 1295697647062495140482578388904535513056221855990277044863111841403601357591160208257520544152967493582327 has 106 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10152-119

c115

name 名前Sinkiti Sibata
date 日付November 16, 2008 12:41:19 UTC 2008 年 11 月 16 日 (日) 21 時 41 分 19 秒 (日本時間)
composite number 合成数
7919278778678215402808835942419335646076742583669425379121773732292567486392354026273870461341449652731280436670483<115>
prime factors 素因数
4717553768781855497144740383059502295079<40>
1678683310635184185657719324978438526481246512191333254586664692875578138677<76>
factorization results 素因数分解の結果
Number: 32221_152
N=7919278778678215402808835942419335646076742583669425379121773732292567486392354026273870461341449652731280436670483
  ( 115 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=4717553768781855497144740383059502295079
 r2=1678683310635184185657719324978438526481246512191333254586664692875578138677
Version: 
Total time: 27.99 hours.
Scaled time: 55.20 units (timescale=1.972).
Factorization parameters were as follows:
name: 32221_152
n: 7919278778678215402808835942419335646076742583669425379121773732292567486392354026273870461341449652731280436670483
m: 2000000000000000000000000000000
deg: 5
c5: 725
c0: -88
skew: 0.66
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 421269 x 421517
Total sieving time: 27.99 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,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 27.99 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10153-119

c137

name 名前Sinkiti Sibata
date 日付November 15, 2008 20:50:38 UTC 2008 年 11 月 16 日 (日) 5 時 50 分 38 秒 (日本時間)
composite number 合成数
39929892307900805319907718077544036658921544690767565938858130177962346727983580345761301594137429455745885939198391814545711703106451989<137>
prime factors 素因数
179960253364535182856090133804477727808273167171138429030663<60>
221881729778503414210444550530112268200498799466442770208768757814706434720003<78>
factorization results 素因数分解の結果
Number: 32221_153
N=39929892307900805319907718077544036658921544690767565938858130177962346727983580345761301594137429455745885939198391814545711703106451989
  ( 137 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=179960253364535182856090133804477727808273167171138429030663 (pp60)
 r2=221881729778503414210444550530112268200498799466442770208768757814706434720003 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 42.37 hours.
Scaled time: 42.76 units (timescale=1.009).
Factorization parameters were as follows:
name: 32221_153
n: 39929892307900805319907718077544036658921544690767565938858130177962346727983580345761301594137429455745885939198391814545711703106451989
m: 5000000000000000000000000000000
deg: 5
c5: 232
c0: -275
skew: 1.03
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2700001)
Primes: RFBsize:203362, AFBsize:202388, largePrimes:8891593 encountered
Relations: rels:10028067, finalFF:1233699
Max relations in full relation-set: 28
Initial matrix: 405817 x 1233699 with sparse part having weight 157935020.
Pruned matrix : 286415 x 288508 with weight 58412974.
Total sieving time: 41.14 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.99 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 42.37 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10156-119

c97

name 名前Jo Yeong Uk
date 日付November 13, 2008 22:45:49 UTC 2008 年 11 月 14 日 (金) 7 時 45 分 49 秒 (日本時間)
composite number 合成数
6273822102456336397478900791555360195036548821463081823181815408929116357407108429062361599130739<97>
prime factors 素因数
1841104617768553066539921824820814632819354673<46>
3407640197035790755600685336333428103580485026012643<52>
factorization results 素因数分解の結果
Thu Nov 13 23:11:53 2008  
Thu Nov 13 23:11:53 2008  
Thu Nov 13 23:11:53 2008  Msieve v. 1.32
Thu Nov 13 23:11:53 2008  random seeds: 09471290 f9ff2327
Thu Nov 13 23:11:53 2008  factoring 6273822102456336397478900791555360195036548821463081823181815408929116357407108429062361599130739 (97 digits)
Thu Nov 13 23:11:54 2008  no P-1/P+1/ECM available, skipping
Thu Nov 13 23:11:54 2008  commencing quadratic sieve (97-digit input)
Thu Nov 13 23:11:54 2008  using multiplier of 11
Thu Nov 13 23:11:54 2008  using VC8 32kb sieve core
Thu Nov 13 23:11:54 2008  sieve interval: 36 blocks of size 32768
Thu Nov 13 23:11:54 2008  processing polynomials in batches of 6
Thu Nov 13 23:11:54 2008  using a sieve bound of 2404009 (88134 primes)
Thu Nov 13 23:11:54 2008  using large prime bound of 360601350 (28 bits)
Thu Nov 13 23:11:54 2008  using double large prime bound of 2527255810204800 (43-52 bits)
Thu Nov 13 23:11:54 2008  using trial factoring cutoff of 52 bits
Thu Nov 13 23:11:54 2008  polynomial 'A' values have 13 factors
Fri Nov 14 03:12:20 2008  88297 relations (21728 full + 66569 combined from 1312671 partial), need 88230
Fri Nov 14 03:12:26 2008  begin with 1334399 relations
Fri Nov 14 03:12:27 2008  reduce to 228127 relations in 11 passes
Fri Nov 14 03:12:27 2008  attempting to read 228127 relations
Fri Nov 14 03:12:30 2008  recovered 228127 relations
Fri Nov 14 03:12:30 2008  recovered 213806 polynomials
Fri Nov 14 03:12:30 2008  attempting to build 88297 cycles
Fri Nov 14 03:12:30 2008  found 88297 cycles in 5 passes
Fri Nov 14 03:12:30 2008  distribution of cycle lengths:
Fri Nov 14 03:12:30 2008     length 1 : 21728
Fri Nov 14 03:12:30 2008     length 2 : 15697
Fri Nov 14 03:12:30 2008     length 3 : 15092
Fri Nov 14 03:12:30 2008     length 4 : 11939
Fri Nov 14 03:12:30 2008     length 5 : 8880
Fri Nov 14 03:12:30 2008     length 6 : 6119
Fri Nov 14 03:12:30 2008     length 7 : 3766
Fri Nov 14 03:12:30 2008     length 9+: 5076
Fri Nov 14 03:12:30 2008  largest cycle: 21 relations
Fri Nov 14 03:12:30 2008  matrix is 88134 x 88297 with weight 5871621 (avg 66.50/col)
Fri Nov 14 03:12:30 2008  filtering completed in 3 passes
Fri Nov 14 03:12:30 2008  matrix is 83870 x 83934 with weight 5623519 (avg 67.00/col)
Fri Nov 14 03:12:31 2008  saving the first 48 matrix rows for later
Fri Nov 14 03:12:31 2008  matrix is 83822 x 83934 with weight 4447168 (avg 52.98/col)
Fri Nov 14 03:12:31 2008  matrix includes 64 packed rows
Fri Nov 14 03:12:31 2008  using block size 33573 for processor cache size 4096 kB
Fri Nov 14 03:12:32 2008  commencing Lanczos iteration
Fri Nov 14 03:13:05 2008  lanczos halted after 1328 iterations (dim = 83821)
Fri Nov 14 03:13:05 2008  recovered 17 nontrivial dependencies
Fri Nov 14 03:13:05 2008  prp46 factor: 1841104617768553066539921824820814632819354673
Fri Nov 14 03:13:05 2008  prp52 factor: 3407640197035790755600685336333428103580485026012643
Fri Nov 14 03:13:05 2008  elapsed time 04:01:12
execution environment 実行環境
Core 2 Quad Q6600,Windows Vista(tm) Ultimate K x64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10158-119

c130

name 名前Serge Batalov
date 日付November 21, 2008 00:02:13 UTC 2008 年 11 月 21 日 (金) 9 時 2 分 13 秒 (日本時間)
composite number 合成数
3176673487597079324162893666935346321261206457921077113516554904804121264684410472581590849778196699845148545905533729775428033569<130>
prime factors 素因数
3113310324647811275855004400415874517<37>
1020352344078143226664091214916101776213040500244838288298165298571081699060386378588779843357<94>
factorization results 素因数分解の結果
Run 58 out of 100:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2684999099
Step 1 took 33625ms
********** Factor found in step 1: 3113310324647811275855004400415874517
Found probable prime factor of 37 digits: 3113310324647811275855004400415874517
Probable prime cofactor 1020352344078143226664091214916101776213040500244838288298165298571081699060386378588779843357 has 94 digits
software ソフトウェア
GMP-ECM 6.2.1
execution environment 実行環境
Xeon/Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10159-119

c138

name 名前Robert Backstrom
date 日付November 20, 2008 23:01:01 UTC 2008 年 11 月 21 日 (金) 8 時 1 分 1 秒 (日本時間)
composite number 合成数
269790916267887465351909992767559683801135115291189777213727431952734734185276613939457571274588620565285534217037470149479822257561512411<138>
prime factors 素因数
19376489485924470209262041162989<32>
13923622050520029560513560197456375374993934656664684892227903781263511730077220792928335238140859671738599<107>
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 269790916267887465351909992767559683801135115291189777213727431952734734185276613939457571274588620565285534217037470149479822257561512411 (138 digits)
Using B1=800000, B2=696806892, polynomial Dickson(3), sigma=2305516098
Step 1 took 8563ms
Step 2 took 3640ms
********** Factor found in step 2: 19376489485924470209262041162989
Found probable prime factor of 32 digits: 19376489485924470209262041162989
Probable prime cofactor 13923622050520029560513560197456375374993934656664684892227903781263511730077220792928335238140859671738599 has 107 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10161-119

c119

name 名前Sinkiti Sibata
date 日付November 29, 2008 04:24:43 UTC 2008 年 11 月 29 日 (土) 13 時 24 分 43 秒 (日本時間)
composite number 合成数
68902284960268310691160272909882658392427741164950225050125505847630985571103442660751760239191044441082947519332451479<119>
prime factors 素因数
2546623150563877412685398371793679334001<40>
27056333382115000182457185576833611392251799115728017548960989369903042621465479<80>
factorization results 素因数分解の結果
Number: 32221_161
N=68902284960268310691160272909882658392427741164950225050125505847630985571103442660751760239191044441082947519332451479
  ( 119 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=2546623150563877412685398371793679334001 (pp40)
 r2=27056333382115000182457185576833611392251799115728017548960989369903042621465479 (pp80)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 55.10 hours.
Scaled time: 141.29 units (timescale=2.564).
Factorization parameters were as follows:
name: 32221_161
n: 68902284960268310691160272909882658392427741164950225050125505847630985571103442660751760239191044441082947519332451479
m: 200000000000000000000000000000000
deg: 5
c5: 145
c0: -176
skew: 1.04
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3550001)
Primes: RFBsize:263397, AFBsize:262673, largePrimes:9228731 encountered
Relations: rels:9590220, finalFF:635440
Max relations in full relation-set: 28
Initial matrix: 526137 x 635440 with sparse part having weight 70868979.
Pruned matrix : 480579 x 483273 with weight 51758556.
Total sieving time: 52.00 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.75 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 55.10 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10162-119

c150

name 名前Serge Batalov
date 日付November 13, 2008 03:28:30 UTC 2008 年 11 月 13 日 (木) 12 時 28 分 30 秒 (日本時間)
composite number 合成数
185286175240586143429008267105324597131672977310452632716330918406240431096762980391677504880755736936274818138073109388428643695990721991618668923399<150>
prime factors 素因数
746734138448512777471322756059<30>
composite cofactor 合成数の残り
248128705653600704252183940981166727591290446648117130564206869724052667609229038959837362742059371119512152905479688261<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3179040063
Step 1 took 17441ms
Step 2 took 12113ms
********** Factor found in step 2: 746734138448512777471322756059
Found probable prime factor of 30 digits: 746734138448512777471322756059
Composite cofactor 248128705653600704252183940981166727591290446648117130564206869724052667609229038959837362742059371119512152905479688261 has 120 digits
software ソフトウェア
GMP-ECM 6.2.1

c120

name 名前Robert Backstrom
date 日付November 27, 2008 11:51:49 UTC 2008 年 11 月 27 日 (木) 20 時 51 分 49 秒 (日本時間)
composite number 合成数
248128705653600704252183940981166727591290446648117130564206869724052667609229038959837362742059371119512152905479688261<120>
prime factors 素因数
46463222638182568129303288420608644739547623874362397<53>
5340324918609786317635870057618451405996157273164823665163903114313<67>
factorization results 素因数分解の結果
Number: n
N=248128705653600704252183940981166727591290446648117130564206869724052667609229038959837362742059371119512152905479688261
  ( 120 digits)
SNFS difficulty: 163 digits.
Divisors found:

Thu Nov 27 22:04:17 2008  prp53 factor: 46463222638182568129303288420608644739547623874362397
Thu Nov 27 22:04:17 2008  prp67 factor: 5340324918609786317635870057618451405996157273164823665163903114313
Thu Nov 27 22:04:17 2008  elapsed time 02:32:33 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 42.18 hours.
Scaled time: 61.20 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_3_2_161_1
n: 248128705653600704252183940981166727591290446648117130564206869724052667609229038959837362742059371119512152905479688261
type: snfs
skew: 0.33
deg: 5
c5: 2900
c0: -11
m: 100000000000000000000000000000000
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1800001)
Primes: RFBsize:315948, AFBsize:316467, largePrimes:14976512 encountered
Relations: rels:13784661, finalFF:723023
Max relations in full relation-set: 28
Initial matrix: 632482 x 723023 with sparse part having weight 64151002.
Pruned matrix : 558893 x 562119 with weight 45340058.
Total sieving time: 41.44 hours.
Total relation processing time: 0.73 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.5,2.5,100000
total time: 42.18 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10166-119

c132

name 名前Robert Backstrom
date 日付November 27, 2008 17:06:48 UTC 2008 年 11 月 28 日 (金) 2 時 6 分 48 秒 (日本時間)
composite number 合成数
747792725820872276182403763957411243471551527733257813413020576660548430228202239146613462924753798426754801343957204384310879257057<132>
prime factors 素因数
18906556686684146433835881345695559366409569958898328591881699<62>
39552031510187221770337793580470173334223496149600838342975909506856043<71>
factorization results 素因数分解の結果
Number: n
N=747792725820872276182403763957411243471551527733257813413020576660548430228202239146613462924753798426754801343957204384310879257057
  ( 132 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Nov 28 03:42:05 2008  prp62 factor: 18906556686684146433835881345695559366409569958898328591881699
Fri Nov 28 03:42:05 2008  prp71 factor: 39552031510187221770337793580470173334223496149600838342975909506856043
Fri Nov 28 03:42:05 2008  elapsed time 02:47:08 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 44.06 hours.
Scaled time: 36.96 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_3_2_165_1
n: 747792725820872276182403763957411243471551527733257813413020576660548430228202239146613462924753798426754801343957204384310879257057
type: snfs
skew: 0.52
deg: 5
c5: 290
c0: -11
m: 1000000000000000000000000000000000
rlim: 5400000
alim: 5400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 2200001)
Primes: RFBsize:374362, AFBsize:373593, largePrimes:15524089 encountered
Relations: rels:14102407, finalFF:767427
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 43.53 hours.
Total relation processing time: 0.53 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5400000,5400000,28,28,56,56,2.5,2.5,100000
total time: 44.06 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336300Serge BatalovNovember 21, 2008 03:03:05 UTC 2008 年 11 月 21 日 (金) 12 時 3 分 5 秒 (日本時間)
300Serge BatalovNovember 21, 2008 03:33:41 UTC 2008 年 11 月 21 日 (金) 12 時 33 分 41 秒 (日本時間)

29×10167-119

c130

name 名前Serge Batalov
date 日付November 13, 2008 16:53:34 UTC 2008 年 11 月 14 日 (金) 1 時 53 分 34 秒 (日本時間)
composite number 合成数
8988495658713328336710807490251226128222098290633405981172045276766487393123509986261177391357090877353520673787521317722197083361<130>
prime factors 素因数
14614344872681959582619366399806329959<38>
composite cofactor 合成数の残り
615046089100797276059789575087661813724676267821413765385904915681332714128994363968725487479<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2608115933
Step 1 took 14061ms
Step 2 took 9717ms
********** Factor found in step 2: 14614344872681959582619366399806329959
Found probable prime factor of 38 digits: 14614344872681959582619366399806329959
Composite cofactor 615046089100797276059789575087661813724676267821413765385904915681332714128994363968725487479 has 93 digits
software ソフトウェア
GMP-ECM 6.2.1

c93

name 名前Sinkiti Sibata
date 日付November 14, 2008 19:39:23 UTC 2008 年 11 月 15 日 (土) 4 時 39 分 23 秒 (日本時間)
composite number 合成数
615046089100797276059789575087661813724676267821413765385904915681332714128994363968725487479<93>
prime factors 素因数
227175975763318381887575509543877<33>
2707355331188622324443371660128309350699561584856921482876427<61>
factorization results 素因数分解の結果
Fri Nov 14 23:43:08 2008  Msieve v. 1.38
Fri Nov 14 23:43:08 2008  random seeds: 4e9568c4 8f996ae3
Fri Nov 14 23:43:08 2008  factoring 615046089100797276059789575087661813724676267821413765385904915681332714128994363968725487479 (93 digits)
Fri Nov 14 23:43:09 2008  searching for 15-digit factors
Fri Nov 14 23:43:10 2008  commencing quadratic sieve (93-digit input)
Fri Nov 14 23:43:10 2008  using multiplier of 31
Fri Nov 14 23:43:10 2008  using 32kb Intel Core sieve core
Fri Nov 14 23:43:10 2008  sieve interval: 36 blocks of size 32768
Fri Nov 14 23:43:10 2008  processing polynomials in batches of 6
Fri Nov 14 23:43:10 2008  using a sieve bound of 1954087 (72941 primes)
Fri Nov 14 23:43:10 2008  using large prime bound of 244260875 (27 bits)
Fri Nov 14 23:43:10 2008  using double large prime bound of 1253536551543250 (42-51 bits)
Fri Nov 14 23:43:10 2008  using trial factoring cutoff of 51 bits
Fri Nov 14 23:43:10 2008  polynomial 'A' values have 12 factors
Sat Nov 15 02:11:46 2008  73182 relations (18600 full + 54582 combined from 987308 partial), need 73037
Sat Nov 15 02:11:47 2008  begin with 1005908 relations
Sat Nov 15 02:11:48 2008  reduce to 185908 relations in 10 passes
Sat Nov 15 02:11:48 2008  attempting to read 185908 relations
Sat Nov 15 02:11:50 2008  recovered 185908 relations
Sat Nov 15 02:11:50 2008  recovered 166941 polynomials
Sat Nov 15 02:11:51 2008  attempting to build 73182 cycles
Sat Nov 15 02:11:51 2008  found 73182 cycles in 5 passes
Sat Nov 15 02:11:51 2008  distribution of cycle lengths:
Sat Nov 15 02:11:51 2008     length 1 : 18600
Sat Nov 15 02:11:51 2008     length 2 : 13208
Sat Nov 15 02:11:51 2008     length 3 : 12719
Sat Nov 15 02:11:51 2008     length 4 : 9789
Sat Nov 15 02:11:51 2008     length 5 : 7149
Sat Nov 15 02:11:51 2008     length 6 : 4812
Sat Nov 15 02:11:51 2008     length 7 : 3000
Sat Nov 15 02:11:51 2008     length 9+: 3905
Sat Nov 15 02:11:51 2008  largest cycle: 18 relations
Sat Nov 15 02:11:51 2008  matrix is 72941 x 73182 (18.6 MB) with weight 4581116 (62.60/col)
Sat Nov 15 02:11:51 2008  sparse part has weight 4581116 (62.60/col)
Sat Nov 15 02:11:52 2008  filtering completed in 3 passes
Sat Nov 15 02:11:52 2008  matrix is 69064 x 69128 (17.7 MB) with weight 4355016 (63.00/col)
Sat Nov 15 02:11:52 2008  sparse part has weight 4355016 (63.00/col)
Sat Nov 15 02:11:52 2008  saving the first 48 matrix rows for later
Sat Nov 15 02:11:52 2008  matrix is 69016 x 69128 (10.7 MB) with weight 3362251 (48.64/col)
Sat Nov 15 02:11:52 2008  sparse part has weight 2402551 (34.76/col)
Sat Nov 15 02:11:52 2008  matrix includes 64 packed rows
Sat Nov 15 02:11:52 2008  using block size 27651 for processor cache size 1024 kB
Sat Nov 15 02:11:53 2008  commencing Lanczos iteration
Sat Nov 15 02:11:53 2008  memory use: 10.6 MB
Sat Nov 15 02:12:24 2008  lanczos halted after 1093 iterations (dim = 69012)
Sat Nov 15 02:12:24 2008  recovered 15 nontrivial dependencies
Sat Nov 15 02:12:26 2008  prp33 factor: 227175975763318381887575509543877
Sat Nov 15 02:12:26 2008  prp61 factor: 2707355331188622324443371660128309350699561584856921482876427
Sat Nov 15 02:12:26 2008  elapsed time 02:29:18
execution environment 実行環境
Binary, Widows Vista 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10168-119

c128

name 名前Jo Yeong Uk
date 日付August 1, 2009 12:50:26 UTC 2009 年 8 月 1 日 (土) 21 時 50 分 26 秒 (日本時間)
composite number 合成数
19065110064851142634598305011711690781910600659166456675477203921277050640697856822512892845451487883248668975816575374668133251<128>
prime factors 素因数
1100732423272300277487241527837358243053560351<46>
17320385646653016613128923249554916759743959254925800399695761532181811650257807901<83>
factorization results 素因数分解の結果
Number: 32221_168
N=19065110064851142634598305011711690781910600659166456675477203921277050640697856822512892845451487883248668975816575374668133251
  ( 128 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1100732423272300277487241527837358243053560351
 r2=17320385646653016613128923249554916759743959254925800399695761532181811650257807901
Version: 
Total time: 45.11 hours.
Scaled time: 107.72 units (timescale=2.388).
Factorization parameters were as follows:
n: 19065110064851142634598305011711690781910600659166456675477203921277050640697856822512892845451487883248668975816575374668133251
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: -1100
skew: 2.07
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11391845
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1021901 x 1022149
Total sieving time: 40.54 hours.
Total relation processing time: 1.96 hours.
Matrix solve time: 2.48 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 45.11 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJune 19, 2009 00:05:23 UTC 2009 年 6 月 19 日 (金) 9 時 5 分 23 秒 (日本時間)

29×10169-119

c145

name 名前Robert Backstrom
date 日付May 26, 2009 14:01:28 UTC 2009 年 5 月 26 日 (火) 23 時 1 分 28 秒 (日本時間)
composite number 合成数
2808952346726228286607349592413192856250276838617066864027465513158652213003638652734864016020646324259579957110275941513825532651046513191360137<145>
prime factors 素因数
30185337815716905249692358934686648943<38>
93056846468806542487059667457037413274973699346875535788608105484856824239552996076515719745447019284007559<107>
factorization results 素因数分解の結果
Number: n
N=2808952346726228286607349592413192856250276838617066864027465513158652213003638652734864016020646324259579957110275941513825532651046513191360137
  ( 145 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue May 26 23:55:05 2009  prp38 factor: 30185337815716905249692358934686648943
Tue May 26 23:55:05 2009  prp107 factor: 93056846468806542487059667457037413274973699346875535788608105484856824239552996076515719745447019284007559
Tue May 26 23:55:05 2009  elapsed time 01:59:15 (Msieve 1.39 - dependency 8)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 65.82 hours.
Scaled time: 166.07 units (timescale=2.523).
Factorization parameters were as follows:
name: KA_3_2_168_1
n: 2808952346726228286607349592413192856250276838617066864027465513158652213003638652734864016020646324259579957110275941513825532651046513191360137
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: -110
skew: 1.31
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 6278801)
Primes: RFBsize:348513, AFBsize:349112, largePrimes:17921984 encountered
Relations: rels:17899366, finalFF:670524
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2434863 hash collisions in 20268295 relations
Msieve: matrix is 879292 x 879540 (232.6 MB)

Total sieving time: 64.98 hours.
Total relation processing time: 0.85 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 65.82 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10170-119

c157

name 名前Jeff Gilchrist
date 日付April 14, 2009 00:09:46 UTC 2009 年 4 月 14 日 (火) 9 時 9 分 46 秒 (日本時間)
composite number 合成数
1904251196718953636692162604583969903297314220743772932280383376864559932289145597338154925039823123268209183786578507255925998331853435869770613657307255719<157>
prime factors 素因数
12128123182634994286036427814173335412207095123621<50>
157011201819375816815738752111265025210257283065238438120187834665257869938723695758458452814451628310344539<108>
factorization results 素因数分解の結果
Number: 32221_170
N=1904251196718953636692162604583969903297314220743772932280383376864559932289145597338154925039823123268209183786578507255925998331853435869770613657307255719
  ( 157 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=12128123182634994286036427814173335412207095123621 (pp50)
 r2=157011201819375816815738752111265025210257283065238438120187834665257869938723695758458452814451628310344539 (pp108)
Version: Msieve-1.41
Total time: 34.88 hours.
Scaled time: 129.51 units (timescale=3.713).
Factorization parameters were as follows:
n: 1904251196718953636692162604583969903297314220743772932280383376864559932289145597338154925039823123268209183786578507255925998331853435869770613657307255719
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: -11
skew: 0.82
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 805085 x 805333
Total sieving time: 34.08 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 34.88 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS & Msieve 1.41
execution environment 実行環境
Core2 Q9550 @ 3.4GHz in Vista 64bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e6480 / 2336Serge BatalovDecember 19, 2008 03:06:34 UTC 2008 年 12 月 19 日 (金) 12 時 6 分 34 秒 (日本時間)

29×10171-119

c161

name 名前Ignacio Santos
date 日付September 11, 2009 06:13:16 UTC 2009 年 9 月 11 日 (金) 15 時 13 分 16 秒 (日本時間)
composite number 合成数
41642512279764701242995617662091759439388865446300500712469273427447764117297156736480630877206853227818477826739783384151735931075439602326578252912586748599899<161>
prime factors 素因数
1373059027510165266686030191368009754437222748912948998947<58>
30328275365755465480725921312582058358200443978085503922256042894999692403183763300297990866427565037417<104>
factorization results 素因数分解の結果
Number: 32221_171
N=41642512279764701242995617662091759439388865446300500712469273427447764117297156736480630877206853227818477826739783384151735931075439602326578252912586748599899
  ( 161 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=1373059027510165266686030191368009754437222748912948998947 (pp58)
 r2=30328275365755465480725921312582058358200443978085503922256042894999692403183763300297990866427565037417 (pp104)
Version: Msieve-1.40
Total time: 72.57 hours.
Scaled time: 126.57 units (timescale=1.744).
Factorization parameters were as follows:
n: 41642512279764701242995617662091759439388865446300500712469273427447764117297156736480630877206853227818477826739783384151735931075439602326578252912586748599899
m: 20000000000000000000000000000000000
deg: 5
c5: 145
c0: -176
skew: 1.04
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1050536 x 1050764
Total sieving time: 70.90 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.44 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 72.57 hours.
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
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 19, 2009 05:31:48 UTC 2009 年 8 月 19 日 (水) 14 時 31 分 48 秒 (日本時間)

29×10172-119

c158

name 名前Serge Batalov
date 日付November 13, 2008 16:52:20 UTC 2008 年 11 月 14 日 (金) 1 時 52 分 20 秒 (日本時間)
composite number 合成数
45756919492041734285753831545482504526682816463753335279193805179110810889151971373611334051350614019141343033730237764599240840420084670143531068326364803577<158>
prime factors 素因数
686837002770721101814315002743<30>
66619764671176635087249126590613431344175126180553448850764036499467766258915040323962972670825895791557302195078744381102836239<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=321248721
Step 1 took 19977ms
Step 2 took 12745ms
********** Factor found in step 2: 686837002770721101814315002743
Found probable prime factor of 30 digits: 686837002770721101814315002743
Probable prime cofactor 66619764671176635087249126590613431344175126180553448850764036499467766258915040323962972670825895791557302195078744381102836239 has 128 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10173-119

c141

name 名前Ray Chandler
date 日付November 11, 2011 13:37:10 UTC 2011 年 11 月 11 日 (金) 22 時 37 分 10 秒 (日本時間)
composite number 合成数
305830544688890400027192065629609369023048252500540597403400671163515838568220348165633484804194947469534003974985599537199449931079865825369<141>
prime factors 素因数
14838186516210305046557845480672097150896353660413<50>
20611045989668552636538978944680578087310037532962233082698707362774555716491533288790480013<92>
factorization results 素因数分解の結果
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, Processing expression: factor((29*10^173-11)/9)
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, 
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, ****************************
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, Starting factorization of 322222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, ****************************
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, rho: x^2 + 1, starting 1000 iterations on C170
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, rho: x^2 + 3, starting 1000 iterations on C170
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, rho: x^2 + 2, starting 1000 iterations on C170
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, pp1: starting B1 = 20K, B2 = gmp-ecm default on C170
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, pp1: starting B1 = 20K, B2 = gmp-ecm default on C170
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, pp1: starting B1 = 20K, B2 = gmp-ecm default on C170
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, pm1: starting B1 = 100K, B2 = gmp-ecm default on C170
11/10/11 20:15:12 v1.28.5 @ AMD-QUAD-1, Finished 25 curves using Lenstra ECM method on C170 input, B1 = 2K, B2 = gmp-ecm default
11/10/11 20:15:22 v1.28.5 @ AMD-QUAD-1, Finished 90 curves using Lenstra ECM method on C170 input, B1 = 11K, B2 = gmp-ecm default
11/10/11 20:16:50 v1.28.5 @ AMD-QUAD-1, Finished 200 curves using Lenstra ECM method on C170 input, B1 = 50K, B2 = gmp-ecm default
11/10/11 20:16:50 v1.28.5 @ AMD-QUAD-1, pp1: starting B1 = 1250K, B2 = gmp-ecm default on C170
11/10/11 20:16:52 v1.28.5 @ AMD-QUAD-1, pp1: starting B1 = 1250K, B2 = gmp-ecm default on C170
11/10/11 20:16:54 v1.28.5 @ AMD-QUAD-1, pp1: starting B1 = 1250K, B2 = gmp-ecm default on C170
11/10/11 20:16:57 v1.28.5 @ AMD-QUAD-1, pm1: starting B1 = 2500K, B2 = gmp-ecm default on C170
11/10/11 20:17:43 v1.28.5 @ AMD-QUAD-1, prp29 = 49098152499471616656660919351 (curve 22 stg2 B1=250000 sigma=1233271169 thread=0)
11/10/11 20:17:43 v1.28.5 @ AMD-QUAD-1, Finished 22 curves using Lenstra ECM method on C170 input, B1 = 250K, B2 = gmp-ecm default
11/10/11 20:17:43 v1.28.5 @ AMD-QUAD-1, pp1: starting B1 = 5M, B2 = gmp-ecm default on C141
11/10/11 20:17:51 v1.28.5 @ AMD-QUAD-1, pp1: starting B1 = 5M, B2 = gmp-ecm default on C141
11/10/11 20:17:58 v1.28.5 @ AMD-QUAD-1, pp1: starting B1 = 5M, B2 = gmp-ecm default on C141
11/10/11 20:18:05 v1.28.5 @ AMD-QUAD-1, pm1: starting B1 = 10M, B2 = gmp-ecm default on C141
11/10/11 20:55:54 v1.28.5 @ AMD-QUAD-1, prp50 = 14838186516210305046557845480672097150896353660413 (curve 344 stg2 B1=1000000 sigma=1609458885 thread=0)
11/10/11 20:55:54 v1.28.5 @ AMD-QUAD-1, Finished 344 curves using Lenstra ECM method on C141 input, B1 = 1M, B2 = gmp-ecm default
11/10/11 20:55:54 v1.28.5 @ AMD-QUAD-1, prp92 = 20611045989668552636538978944680578087310037532962233082698707362774555716491533288790480013
11/10/11 20:55:54 v1.28.5 @ AMD-QUAD-1, Total factoring time = 2443.5684 seconds
software ソフトウェア
yafu v1.28.5
execution environment 実行環境
11/10/11 20:15:11 v1.28.5 @ AMD-QUAD-1, System/Build Info: 
Using GMP-ECM 6.3, Powered by GMP 5.0.1
cached 78504 primes. pmax = 1000099
detected AMD Phenom(tm) 9750 Quad-Core Processor
detected L1 = 65536 bytes, L2 = 2097152 bytes, CL = 64 bytes
measured cpu frequency ~= 2377.973740

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiFebruary 14, 2010 07:30:14 UTC 2010 年 2 月 14 日 (日) 16 時 30 分 14 秒 (日本時間)

29×10174-119

c158

name 名前Ignacio Santos
date 日付September 3, 2010 13:39:31 UTC 2010 年 9 月 3 日 (金) 22 時 39 分 31 秒 (日本時間)
composite number 合成数
22248235254313985236876702792782649134603601414540235136365808443344535347362294769534814843558572680424800242200259389804211684066455426567317211109626846073<158>
prime factors 素因数
147339662694402555925025782895458006626217284707365606196648711101<66>
150999634772200393043628344411432190706356025888901650649778237578958078998346970187191665773<93>
factorization results 素因数分解の結果
Number: 10
N=22248235254313985236876702792782649134603601414540235136365808443344535347362294769534814843558572680424800242200259389804211684066455426567317211109626846073
  ( 158 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=147339662694402555925025782895458006626217284707365606196648711101 (pp66)
 r2=150999634772200393043628344411432190706356025888901650649778237578958078998346970187191665773 (pp93)
Version: Msieve-1.40
Total time: 104.75 hours.
Scaled time: 182.16 units (timescale=1.739).
Factorization parameters were as follows:
n: 22248235254313985236876702792782649134603601414540235136365808443344535347362294769534814843558572680424800242200259389804211684066455426567317211109626846073
m: 10000000000000000000000000000000000
deg: 5
c5: 290000
c0: -11
skew: 0.13
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 8350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1314946 x 1315171
Total sieving time: 101.43 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.43 hours.
Time per square root: 0.72 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 104.75 hours.
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
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e6825Ignacio SantosMay 1, 2010 11:07:15 UTC 2010 年 5 月 1 日 (土) 20 時 7 分 15 秒 (日本時間)
403e62111Wataru SakaiMay 24, 2010 00:53:07 UTC 2010 年 5 月 24 日 (月) 9 時 53 分 7 秒 (日本時間)

29×10175-119

c169

name 名前Wataru Sakai
date 日付July 4, 2010 01:39:52 UTC 2010 年 7 月 4 日 (日) 10 時 39 分 52 秒 (日本時間)
composite number 合成数
6142952043901009251010404402607128158692701853114687453060697259372783837376317221026782571885830990909214730976935057960764880565231234589531015902556512352110283019993<169>
prime factors 素因数
605143759404058532506311519976226929098111859199798817724597307641243224574079011<81>
10151227618955447437999153936623580796330632494425722667552767229477201591584429892849363<89>
factorization results 素因数分解の結果
Number: 32221_175
N=6142952043901009251010404402607128158692701853114687453060697259372783837376317221026782571885830990909214730976935057960764880565231234589531015902556512352110283019993
  ( 169 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=605143759404058532506311519976226929098111859199798817724597307641243224574079011
 r2=10151227618955447437999153936623580796330632494425722667552767229477201591584429892849363
Version: 
Total time: 102.37 hours.
Scaled time: 206.27 units (timescale=2.015).
Factorization parameters were as follows:
n: 6142952043901009251010404402607128158692701853114687453060697259372783837376317221026782571885830990909214730976935057960764880565231234589531015902556512352110283019993
m: 100000000000000000000000000000000000
deg: 5
c5: 29
c0: -11
skew: 0.82
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1177849 x 1178097
Total sieving time: 102.37 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,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 102.37 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 18, 2010 11:42:25 UTC 2010 年 6 月 18 日 (金) 20 時 42 分 25 秒 (日本時間)
403e6610110Ignacio SantosJune 18, 2010 11:42:25 UTC 2010 年 6 月 18 日 (金) 20 時 42 分 25 秒 (日本時間)
500Ignacio SantosJune 27, 2010 20:04:41 UTC 2010 年 6 月 28 日 (月) 5 時 4 分 41 秒 (日本時間)
4511e6402 / 419032Ignacio SantosJune 18, 2010 11:42:25 UTC 2010 年 6 月 18 日 (金) 20 時 42 分 25 秒 (日本時間)
220Dmitry DomanovJune 19, 2010 06:18:40 UTC 2010 年 6 月 19 日 (土) 15 時 18 分 40 秒 (日本時間)
150Ignacio SantosJune 27, 2010 20:04:41 UTC 2010 年 6 月 28 日 (月) 5 時 4 分 41 秒 (日本時間)
5043e640 / 7438Ignacio SantosJune 27, 2010 20:04:41 UTC 2010 年 6 月 28 日 (月) 5 時 4 分 41 秒 (日本時間)

29×10177-119

c178

name 名前Wataru Sakai
date 日付November 22, 2008 04:21:54 UTC 2008 年 11 月 22 日 (土) 13 時 21 分 54 秒 (日本時間)
composite number 合成数
3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<178>
prime factors 素因数
4238791109846768319832989175973237807031692293<46>
9122678024342822606413342521202266190898888619350609<52>
83328032289291372193606565637887001304378576354453021528093000914205072237905433<80>
factorization results 素因数分解の結果
Number: 32221_177
N=3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
  ( 178 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=4238791109846768319832989175973237807031692293 (pp46)
 r2=9122678024342822606413342521202266190898888619350609 (pp52)
 r3=83328032289291372193606565637887001304378576354453021528093000914205072237905433 (pp80)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 216.80 hours.
Scaled time: 436.41 units (timescale=2.013).
Factorization parameters were as follows:
n: 3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
m: 200000000000000000000000000000000000
deg: 5
c5: 725
c0: -88
skew: 0.66
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 9900001)
Primes: RFBsize:463872, AFBsize:464782, largePrimes:18589630 encountered
Relations: rels:20197980, finalFF:1175338
Max relations in full relation-set: 32
Initial matrix: 928721 x 1175338 with sparse part having weight 172348679.
Pruned matrix : 767940 x 772647 with weight 161025116.
Total sieving time: 204.87 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 11.23 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 216.80 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 12, 2008 22:38:03 UTC 2008 年 11 月 13 日 (木) 7 時 38 分 3 秒 (日本時間)

29×10179-119

c170

name 名前Serge Batalov
date 日付November 13, 2008 16:55:09 UTC 2008 年 11 月 14 日 (金) 1 時 55 分 9 秒 (日本時間)
composite number 合成数
63435755178342489052080352753108157808298942470437391730987936316762516241073322910144464128434592213595848274772090626770392877017567513552790593150521040334080138264089<170>
prime factors 素因数
13310355728458018191436051090311587<35>
4765894801948423367811395504889628582659434826497324644479808786421859894569556486917950969689887532292510529531422667771365530802998547<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4238845314
Step 1 took 19462ms
Step 2 took 12928ms
********** Factor found in step 2: 13310355728458018191436051090311587
Found probable prime factor of 35 digits: 13310355728458018191436051090311587
Probable prime cofactor 4765894801948423367811395504889628582659434826497324644479808786421859894569556486917950969689887532292510529531422667771365530802998547 has 136 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10180-119

c166

name 名前Kenji Ibusuki
date 日付October 14, 2013 11:32:31 UTC 2013 年 10 月 14 日 (月) 20 時 32 分 31 秒 (日本時間)
composite number 合成数
2637454332694946625576318607981101220379434434453561453858161345290189719588387684632783064558816967918788829942890500757310669336531721135185839098814215600992385407<166>
prime factors 素因数
943860986399045267189494283027216704036368730846564532215746571<63>
2794324980797420592824178269219224216788216189475714595155016649428458473043276267969061075235883114717<103>
factorization results 素因数分解の結果
Number: 32221_180
N=2637454332694946625576318607981101220379434434453561453858161345290189719588387684632783064558816967918788829942890500757310669336531721135185839098814215600992385407
  ( 166 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=943860986399045267189494283027216704036368730846564532215746571 (pp63)
 r2=2794324980797420592824178269219224216788216189475714595155016649428458473043276267969061075235883114717 (pp103)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 119.22 hours.
Scaled time: 538.29 units (timescale=4.515).
Factorization parameters were as follows:
n: 2637454332694946625576318607981101220379434434453561453858161345290189719588387684632783064558816967918788829942890500757310669336531721135185839098814215600992385407
m: 1000000000000000000000000000000000000
deg: 5
c5: 29
c0: -11
skew: 0.82
# Murphy_E = 1.077e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 10000
relslim: 30000000

Polynomial score was as follows:
skew 0.82, size 1.585e-012, alpha 0.575, combined = 1.077e-010 rroots = 1 
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [3700000, 9430001)
Relations: raw-rels:21330314 rels:18960071, finalFF:1124528
Pruned matrix : 1096575 x 1096800
Total sieving time: 114.39 hours.
Total relation processing time: 0.74 hours.
Total matrix build processing time: 3.40 hours.
Matrix pruned processing time: 0.00 hours.
Matrix solve time: 0.66 hours.
Total time of square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 119.22 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
execution environment 実行環境
Core i7 2600 - Windows7 64bit (7 threads used),
Core i7 4770 - Windows7 64bit (8 threads used) x 2 and
Core 2 Quad Q6600 - Windows Vista 32bit (4 threads used)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 18, 2011 07:50:40 UTC 2011 年 5 月 18 日 (水) 16 時 50 分 40 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:53:44 UTC 2013 年 6 月 1 日 (土) 0 時 53 分 44 秒 (日本時間)
4511e6300 / 3841Rich DickersonJune 12, 2013 17:48:48 UTC 2013 年 6 月 13 日 (木) 2 時 48 分 48 秒 (日本時間)
5043e6100 / 7437Rich DickersonJune 12, 2013 17:48:48 UTC 2013 年 6 月 13 日 (木) 2 時 48 分 48 秒 (日本時間)

29×10181-119

c144

name 名前Dmitry Domanov
date 日付May 16, 2011 21:44:27 UTC 2011 年 5 月 17 日 (火) 6 時 44 分 27 秒 (日本時間)
composite number 合成数
163411289343842862372787824968355636589703041828213632791643017845436354244252104044089034117139082851434659511114541739566007611655594580175273<144>
prime factors 素因数
460561125376459794444845824109078897158463<42>
354809123784104645319050609505833917020788138206086948735434575900763240916706950054544212550186158871<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4152840460
Step 1 took 48788ms
Step 2 took 19928ms
********** Factor found in step 2: 460561125376459794444845824109078897158463
Found probable prime factor of 42 digits: 460561125376459794444845824109078897158463
Probable prime cofactor 354809123784104645319050609505833917020788138206086948735434575900763240916706950054544212550186158871 has 102 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10184-119

c128

name 名前Sinkiti Sibata
date 日付April 14, 2010 22:23:33 UTC 2010 年 4 月 15 日 (木) 7 時 23 分 33 秒 (日本時間)
composite number 合成数
11443385985100041732346252855087611543625340410002691409085705234887286072280889361202027546977964371539046953753693747659880927<128>
prime factors 素因数
165817841505380960130068854852193229715240461276206379249562721<63>
69011789571079973587519952848989453455506844456394532251953780287<65>
factorization results 素因数分解の結果
Number: 32221_184
N=11443385985100041732346252855087611543625340410002691409085705234887286072280889361202027546977964371539046953753693747659880927
  ( 128 digits)
Divisors found:
 r1=165817841505380960130068854852193229715240461276206379249562721 (pp63)
 r2=69011789571079973587519952848989453455506844456394532251953780287 (pp65)
Version: Msieve-1.40
Total time: 104.15 hours.
Scaled time: 314.94 units (timescale=3.024).
Factorization parameters were as follows:
name: 32221_184
# Murphy_E = 1.112055e-10, selected by Jeff Gilchrist
n: 11443385985100041732346252855087611543625340410002691409085705234887286072280889361202027546977964371539046953753693747659880927
Y0: -3227033314991563294605080
Y1: 91285386449309
c0: 692885753005279709897547288723
c1: -32039882816401084018730525
c2: -91678353304982906035
c3: -348126874264955
c4: -27816283428
c5: 32700
skew: 161444.44
type: gnfs
# selected mechanically
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4050000, 8250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1205231 x 1205479
Total sieving time: 100.39 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.98 hours.
Time per square root: 0.60 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 104.15 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 16, 2009 19:54:41 UTC 2009 年 3 月 17 日 (火) 4 時 54 分 41 秒 (日本時間)
1836Wataru SakaiDecember 2, 2009 06:37:21 UTC 2009 年 12 月 2 日 (水) 15 時 37 分 21 秒 (日本時間)

29×10186-119

c160

name 名前LegionMammal978
date 日付February 21, 2017 23:21:31 UTC 2017 年 2 月 22 日 (水) 8 時 21 分 31 秒 (日本時間)
composite number 合成数
4946422330234647864806978461606571784908045828477235146048529752920552125746841089754106803903176228912180259187622281540631760016502977652617252636872741717691<160>
prime factors 素因数
4064218077645265877744840537946744998262517022915518037791<58>
1217066170105841147332725047074735347792528056687071815603583499768956502146723688175074342976542748901<103>
factorization results 素因数分解の結果
Tue Feb 21 14:33:51 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Feb 21 14:33:51 2017  random seeds: f3a24143 78fd59c7
Tue Feb 21 14:33:51 2017  factoring 4946422330234647864806978461606571784908045828477235146048529752920552125746841089754106803903176228912180259187622281540631760016502977652617252636872741717691 (160 digits)
Tue Feb 21 14:33:52 2017  no P-1/P+1/ECM available, skipping
Tue Feb 21 14:33:52 2017  commencing number field sieve (160-digit input)
Tue Feb 21 14:33:52 2017  R0: -10000000000000000000000000000000000000
Tue Feb 21 14:33:52 2017  R1: 1
Tue Feb 21 14:33:52 2017  A0: -11
Tue Feb 21 14:33:52 2017  A1: 0
Tue Feb 21 14:33:52 2017  A2: 0
Tue Feb 21 14:33:52 2017  A3: 0
Tue Feb 21 14:33:52 2017  A4: 0
Tue Feb 21 14:33:52 2017  A5: 290
Tue Feb 21 14:33:52 2017  skew 0.52, size 3.330e-13, alpha 1.002, combined = 4.274e-11 rroots = 1
Tue Feb 21 14:33:52 2017  
Tue Feb 21 14:33:52 2017  commencing relation filtering
Tue Feb 21 14:33:52 2017  estimated available RAM is 15929.4 MB
Tue Feb 21 14:33:52 2017  commencing duplicate removal, pass 1
Tue Feb 21 14:36:32 2017  skipped 1 relations with b > 2^32
Tue Feb 21 14:36:32 2017  found 3224744 hash collisions in 22013123 relations
Tue Feb 21 14:36:51 2017  added 352 free relations
Tue Feb 21 14:36:51 2017  commencing duplicate removal, pass 2
Tue Feb 21 14:36:57 2017  found 2906106 duplicates and 19107369 unique relations
Tue Feb 21 14:36:57 2017  memory use: 98.6 MB
Tue Feb 21 14:36:57 2017  reading ideals above 720000
Tue Feb 21 14:36:57 2017  commencing singleton removal, initial pass
Tue Feb 21 14:38:58 2017  memory use: 689.0 MB
Tue Feb 21 14:38:58 2017  reading all ideals from disk
Tue Feb 21 14:38:58 2017  memory use: 608.3 MB
Tue Feb 21 14:38:59 2017  keeping 21334847 ideals with weight <= 200, target excess is 115698
Tue Feb 21 14:39:00 2017  commencing in-memory singleton removal
Tue Feb 21 14:39:01 2017  begin with 19107369 relations and 21334847 unique ideals
Tue Feb 21 14:39:09 2017  reduce to 7593569 relations and 7440351 ideals in 18 passes
Tue Feb 21 14:39:09 2017  max relations containing the same ideal: 108
Tue Feb 21 14:39:11 2017  removing 187039 relations and 177535 ideals in 9504 cliques
Tue Feb 21 14:39:11 2017  commencing in-memory singleton removal
Tue Feb 21 14:39:11 2017  begin with 7406530 relations and 7440351 unique ideals
Tue Feb 21 14:39:15 2017  reduce to 7402113 relations and 7258390 ideals in 11 passes
Tue Feb 21 14:39:15 2017  max relations containing the same ideal: 107
Tue Feb 21 14:39:17 2017  removing 134871 relations and 125367 ideals in 9504 cliques
Tue Feb 21 14:39:17 2017  commencing in-memory singleton removal
Tue Feb 21 14:39:18 2017  begin with 7267242 relations and 7258390 unique ideals
Tue Feb 21 14:39:20 2017  reduce to 7264843 relations and 7130620 ideals in 8 passes
Tue Feb 21 14:39:20 2017  max relations containing the same ideal: 106
Tue Feb 21 14:39:22 2017  relations with 0 large ideals: 2805
Tue Feb 21 14:39:22 2017  relations with 1 large ideals: 843
Tue Feb 21 14:39:22 2017  relations with 2 large ideals: 16081
Tue Feb 21 14:39:22 2017  relations with 3 large ideals: 128819
Tue Feb 21 14:39:22 2017  relations with 4 large ideals: 555943
Tue Feb 21 14:39:22 2017  relations with 5 large ideals: 1389603
Tue Feb 21 14:39:22 2017  relations with 6 large ideals: 2153233
Tue Feb 21 14:39:22 2017  relations with 7+ large ideals: 3017516
Tue Feb 21 14:39:22 2017  commencing 2-way merge
Tue Feb 21 14:39:25 2017  reduce to 4187336 relation sets and 4053118 unique ideals
Tue Feb 21 14:39:25 2017  ignored 6 oversize relation sets
Tue Feb 21 14:39:25 2017  commencing full merge
Tue Feb 21 14:40:12 2017  memory use: 481.8 MB
Tue Feb 21 14:40:13 2017  found 2114096 cycles, need 2109318
Tue Feb 21 14:40:13 2017  weight of 2109318 cycles is about 147784855 (70.06/cycle)
Tue Feb 21 14:40:13 2017  distribution of cycle lengths:
Tue Feb 21 14:40:13 2017  1 relations: 317434
Tue Feb 21 14:40:13 2017  2 relations: 276708
Tue Feb 21 14:40:13 2017  3 relations: 258615
Tue Feb 21 14:40:13 2017  4 relations: 220353
Tue Feb 21 14:40:13 2017  5 relations: 186779
Tue Feb 21 14:40:13 2017  6 relations: 154078
Tue Feb 21 14:40:13 2017  7 relations: 128604
Tue Feb 21 14:40:13 2017  8 relations: 104298
Tue Feb 21 14:40:13 2017  9 relations: 84308
Tue Feb 21 14:40:13 2017  10+ relations: 378141
Tue Feb 21 14:40:13 2017  heaviest cycle: 28 relations
Tue Feb 21 14:40:13 2017  commencing cycle optimization
Tue Feb 21 14:40:16 2017  start with 12270894 relations
Tue Feb 21 14:40:28 2017  pruned 257598 relations
Tue Feb 21 14:40:28 2017  memory use: 414.8 MB
Tue Feb 21 14:40:28 2017  distribution of cycle lengths:
Tue Feb 21 14:40:28 2017  1 relations: 317434
Tue Feb 21 14:40:28 2017  2 relations: 282589
Tue Feb 21 14:40:28 2017  3 relations: 266722
Tue Feb 21 14:40:28 2017  4 relations: 224337
Tue Feb 21 14:40:28 2017  5 relations: 189419
Tue Feb 21 14:40:28 2017  6 relations: 154934
Tue Feb 21 14:40:28 2017  7 relations: 128115
Tue Feb 21 14:40:28 2017  8 relations: 102897
Tue Feb 21 14:40:28 2017  9 relations: 82665
Tue Feb 21 14:40:28 2017  10+ relations: 360206
Tue Feb 21 14:40:28 2017  heaviest cycle: 28 relations
Tue Feb 21 14:40:30 2017  RelProcTime: 398
Tue Feb 21 14:40:30 2017  elapsed time 00:06:39
Tue Feb 21 14:40:30 2017 LatSieveTime: 1245.95
Tue Feb 21 14:40:30 2017 -> Running matrix solving step ...
Tue Feb 21 14:40:30 2017 -> ./msieve -s 32221_186/32221_186.dat -l 32221_186/32221_186.log -i 32221_186/32221_186.ini -nf 32221_186/32221_186.fb -t 6 -nc2
Tue Feb 21 14:40:30 2017  
Tue Feb 21 14:40:30 2017  
Tue Feb 21 14:40:30 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Feb 21 14:40:30 2017  random seeds: 927ed06a 87553b90
Tue Feb 21 14:40:30 2017  factoring 4946422330234647864806978461606571784908045828477235146048529752920552125746841089754106803903176228912180259187622281540631760016502977652617252636872741717691 (160 digits)
Tue Feb 21 14:40:31 2017  no P-1/P+1/ECM available, skipping
Tue Feb 21 14:40:31 2017  commencing number field sieve (160-digit input)
Tue Feb 21 14:40:31 2017  R0: -10000000000000000000000000000000000000
Tue Feb 21 14:40:31 2017  R1: 1
Tue Feb 21 14:40:31 2017  A0: -11
Tue Feb 21 14:40:31 2017  A1: 0
Tue Feb 21 14:40:31 2017  A2: 0
Tue Feb 21 14:40:31 2017  A3: 0
Tue Feb 21 14:40:31 2017  A4: 0
Tue Feb 21 14:40:31 2017  A5: 290
Tue Feb 21 14:40:31 2017  skew 0.52, size 3.330e-13, alpha 1.002, combined = 4.274e-11 rroots = 1
Tue Feb 21 14:40:31 2017  
Tue Feb 21 14:40:31 2017  commencing linear algebra
Tue Feb 21 14:40:31 2017  read 2109318 cycles
Tue Feb 21 14:40:34 2017  cycles contain 7062380 unique relations
Tue Feb 21 14:41:07 2017  read 7062380 relations
Tue Feb 21 14:41:12 2017  using 20 quadratic characters above 4294917295
Tue Feb 21 14:41:40 2017  building initial matrix
Tue Feb 21 14:42:24 2017  memory use: 865.9 MB
Tue Feb 21 14:42:25 2017  read 2109318 cycles
Tue Feb 21 14:42:25 2017  matrix is 2109141 x 2109318 (633.6 MB) with weight 188544231 (89.39/col)
Tue Feb 21 14:42:25 2017  sparse part has weight 142890734 (67.74/col)
Tue Feb 21 14:42:38 2017  filtering completed in 2 passes
Tue Feb 21 14:42:38 2017  matrix is 2106936 x 2107113 (633.4 MB) with weight 188464040 (89.44/col)
Tue Feb 21 14:42:38 2017  sparse part has weight 142864619 (67.80/col)
Tue Feb 21 14:42:43 2017  matrix starts at (0, 0)
Tue Feb 21 14:42:43 2017  matrix is 2106936 x 2107113 (633.4 MB) with weight 188464040 (89.44/col)
Tue Feb 21 14:42:43 2017  sparse part has weight 142864619 (67.80/col)
Tue Feb 21 14:42:43 2017  saving the first 48 matrix rows for later
Tue Feb 21 14:42:43 2017  matrix includes 64 packed rows
Tue Feb 21 14:42:43 2017  matrix is 2106888 x 2107113 (602.9 MB) with weight 149647665 (71.02/col)
Tue Feb 21 14:42:43 2017  sparse part has weight 136977496 (65.01/col)
Tue Feb 21 14:42:43 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Tue Feb 21 14:42:48 2017  commencing Lanczos iteration (6 threads)
Tue Feb 21 14:42:48 2017  memory use: 486.2 MB
Tue Feb 21 14:42:54 2017  linear algebra at 0.1%, ETA 1h55m
Tue Feb 21 14:42:56 2017  checkpointing every 1050000 dimensions
Tue Feb 21 16:37:23 2017  lanczos halted after 33319 iterations (dim = 2106883)
Tue Feb 21 16:37:24 2017  recovered 35 nontrivial dependencies
Tue Feb 21 16:37:24 2017  BLanczosTime: 7013
Tue Feb 21 16:37:24 2017  elapsed time 01:56:54
Tue Feb 21 16:37:24 2017 -> Running square root step ...
Tue Feb 21 16:37:24 2017 -> ./msieve -s 32221_186/32221_186.dat -l 32221_186/32221_186.log -i 32221_186/32221_186.ini -nf 32221_186/32221_186.fb -t 6 -nc3
Tue Feb 21 16:37:24 2017  
Tue Feb 21 16:37:24 2017  
Tue Feb 21 16:37:24 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Feb 21 16:37:24 2017  random seeds: 943efd2e 8748e67e
Tue Feb 21 16:37:24 2017  factoring 4946422330234647864806978461606571784908045828477235146048529752920552125746841089754106803903176228912180259187622281540631760016502977652617252636872741717691 (160 digits)
Tue Feb 21 16:37:25 2017  no P-1/P+1/ECM available, skipping
Tue Feb 21 16:37:25 2017  commencing number field sieve (160-digit input)
Tue Feb 21 16:37:25 2017  R0: -10000000000000000000000000000000000000
Tue Feb 21 16:37:25 2017  R1: 1
Tue Feb 21 16:37:25 2017  A0: -11
Tue Feb 21 16:37:25 2017  A1: 0
Tue Feb 21 16:37:25 2017  A2: 0
Tue Feb 21 16:37:25 2017  A3: 0
Tue Feb 21 16:37:25 2017  A4: 0
Tue Feb 21 16:37:25 2017  A5: 290
Tue Feb 21 16:37:25 2017  skew 0.52, size 3.330e-13, alpha 1.002, combined = 4.274e-11 rroots = 1
Tue Feb 21 16:37:25 2017  
Tue Feb 21 16:37:25 2017  commencing square root phase
Tue Feb 21 16:37:25 2017  reading relations for dependency 1
Tue Feb 21 16:37:25 2017  read 1052877 cycles
Tue Feb 21 16:37:26 2017  cycles contain 3528124 unique relations
Tue Feb 21 16:37:44 2017  read 3528124 relations
Tue Feb 21 16:37:54 2017  multiplying 3528124 relations
Tue Feb 21 16:39:33 2017  multiply complete, coefficients have about 106.71 million bits
Tue Feb 21 16:39:33 2017  initial square root is modulo 45667441
Tue Feb 21 16:41:36 2017  sqrtTime: 251
Tue Feb 21 16:41:36 2017  p58 factor: 4064218077645265877744840537946744998262517022915518037791
Tue Feb 21 16:41:36 2017  p103 factor: 1217066170105841147332725047074735347792528056687071815603583499768956502146723688175074342976542748901
Tue Feb 21 16:41:36 2017  elapsed time 00:04:12
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61600300Dmitry DomanovMay 18, 2011 07:50:48 UTC 2011 年 5 月 18 日 (水) 16 時 50 分 48 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:53:54 UTC 2013 年 6 月 1 日 (土) 0 時 53 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:30 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 30 秒 (日本時間)
4511e61300 / 41251000Rich DickersonApril 22, 2014 01:53:49 UTC 2014 年 4 月 22 日 (火) 10 時 53 分 49 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:02 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 2 秒 (日本時間)

29×10187-119

c150

name 名前Rich Dickerson
date 日付April 23, 2014 05:15:13 UTC 2014 年 4 月 23 日 (水) 14 時 15 分 13 秒 (日本時間)
composite number 合成数
233353602696195200432031526830377523663562029504339168916373430536745095979111733359556544056546060286171361062153994847461068652456231873207568541921<150>
prime factors 素因数
18691020012823047651323126666788651983704864303<47>
12484797648073890310622594805353794553117848607300148289275732109002531562563873727709983907156714970607<104>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4175479658
Step 1 took 24366ms
Step 2 took 8716ms
********** Factor found in step 2: 18691020012823047651323126666788651983704864303
Found probable prime factor of 47 digits: 18691020012823047651323126666788651983704864303
Probable prime cofactor 12484797648073890310622594805353794553117848607300148289275732109002531562563873727709983907156714970607 has 104 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
execution environment 実行環境
Core-i5, 3.4 GHz, OpenSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61600 / 2336300Dmitry DomanovMay 18, 2011 07:50:56 UTC 2011 年 5 月 18 日 (水) 16 時 50 分 56 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:54:06 UTC 2013 年 6 月 1 日 (土) 0 時 54 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:31 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 31 秒 (日本時間)

29×10188-119

c162

composite cofactor 合成数の残り
246226461560519540044957831287467950059747326765930292231760971226860403943971716463104991716131484844860418305147246144576193206965159813743798962944932158780703<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61600300Dmitry DomanovMay 18, 2011 07:51:05 UTC 2011 年 5 月 18 日 (水) 16 時 51 分 5 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:54:16 UTC 2013 年 6 月 1 日 (土) 0 時 54 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:32 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 32 秒 (日本時間)
4511e61800 / 41251500Rich DickersonApril 23, 2014 13:33:23 UTC 2014 年 4 月 23 日 (水) 22 時 33 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:02 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 2 秒 (日本時間)

29×10189-119

c163

composite cofactor 合成数の残り
1034304101809208116798800925820621930578119802041405462807406035139464601495554371871806611354728483400990013979618564624317023645764416330495278580627587099107029<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61600300Dmitry DomanovMay 18, 2011 07:51:13 UTC 2011 年 5 月 18 日 (水) 16 時 51 分 13 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:54:25 UTC 2013 年 6 月 1 日 (土) 0 時 54 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:32 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 32 秒 (日本時間)
4511e6900 / 4125600Rich DickersonApril 23, 2014 15:59:02 UTC 2014 年 4 月 24 日 (木) 0 時 59 分 2 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:02 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 2 秒 (日本時間)

29×10191-119

c192

name 名前Kenji Ibusuki
date 日付November 23, 2008 03:20:16 UTC 2008 年 11 月 23 日 (日) 12 時 20 分 16 秒 (日本時間)
composite number 合成数
107407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407<192>
prime factors 素因数
234962048155245284311390320134874392608349302915475444887775014352507137133437<78>
457126622153211121929472840043706090744226808049801534743653872091775669361431051141638973630223980189775046870811<114>
factorization results 素因数分解の結果
Number: 32221_191
N=107407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407
  ( 192 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=234962048155245284311390320134874392608349302915475444887775014352507137133437 (pp78)
 r2=457126622153211121929472840043706090744226808049801534743653872091775669361431051141638973630223980189775046870811 (pp114)
Version: GGNFS-0.77.1
Total time: 665.59 hours.
Scaled time: 1474.28 units (timescale=2.215).
Factorization parameters were as follows:
number: 32221_191
n: 107407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407
m: 200000000000000000000000000000000000000
type: snfs
deg: 5
skew: 1.040
c0: -176
c5: 145
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 10000
q0: 10000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [10000, 10420001)
Relations: rels:16881690, finalFF:1351631
Initial matrix: 1203472 x 1351631 with sparse part having weight 178964056.
Pruned matrix : 1169451 x 1175532 with weight 141697409.
Total sieving time: 641.10 hours.
Total relation processing time: 5.50 hours.
Matrix solve time: 18.74 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,52,52,2.6,2.6,100000
total time: 665.59 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS-0.77.1
execution environment 実行環境
Core 2 Quad Q6700 (2.66GHz), Windows XP, MinGW-3.1.0 + MSYS (procrels.exe, matbuild.exe, matsolve.exe, sqrt.exe) and Cygwin (Others)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)

29×10194-119

c177

name 名前Dmitry Domanov
date 日付May 17, 2011 07:48:49 UTC 2011 年 5 月 17 日 (火) 16 時 48 分 49 秒 (日本時間)
composite number 合成数
592069321054866114038776950546688988093099501271189711517849644348779826828639224909766200643146765523814993003424587438983598524157007705184723547781049446248791881561206411157<177>
prime factors 素因数
2099885755515756163850216432792813<34>
composite cofactor 合成数の残り
281953110782184938073510646804419331910771694364356903516176311072448248686861697350126216696348439894119256960302442249531017689557079219951689<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=917491355
Step 1 took 69826ms
Step 2 took 26033ms
********** Factor found in step 2: 2099885755515756163850216432792813
Found probable prime factor of 34 digits: 2099885755515756163850216432792813
Composite cofactor 281953110782184938073510646804419331910771694364356903516176311072448248686861697350126216696348439894119256960302442249531017689557079219951689 has 144 digits

c144

name 名前matsui
date 日付May 22, 2011 13:09:11 UTC 2011 年 5 月 22 日 (日) 22 時 9 分 11 秒 (日本時間)
composite number 合成数
281953110782184938073510646804419331910771694364356903516176311072448248686861697350126216696348439894119256960302442249531017689557079219951689<144>
prime factors 素因数
144840519680930382124491046945074833<36>
1946645257855331482078239265320378617465788916608379860801359205388076343673770496219252929965618695490853433<109>
factorization results 素因数分解の結果
N=592069321054866114038776950546688988093099501271189711517849644348779826828639224909766200643146765523814993003424587438983598524157007705184723547781049446248791881561206411157
  ( 177 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=2099885755515756163850216432792813 (pp34)
 r2=144840519680930382124491046945074833 (pp36)
 r3=1946645257855331482078239265320378617465788916608379860801359205388076343673770496219252929965618695490853433 (pp109)
Version: Msieve v. 1.49
Total time:
Scaled time: 118.64 units (timescale=1.061).
Factorization parameters were as follows:
n: 592069321054866114038776950546688988093099501271189711517849644348779826828639224909766200643146765523814993003424587438983598524157007705184723547781049446248791881561206411157
m: 100000000000000000000000000000000000000
deg: 5
c5: 290000
c0: -11
skew: 0.13
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6350000, 16270001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2609111 x 2609338
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12700000,12700000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 17, 2011 07:48:38 UTC 2011 年 5 月 17 日 (火) 16 時 48 分 38 秒 (日本時間)

29×10195-119

c190

name 名前Robert Backstrom
date 日付March 2, 2010 09:16:10 UTC 2010 年 3 月 2 日 (火) 18 時 16 分 10 秒 (日本時間)
composite number 合成数
4628386083368724526919092459672792255848245115496586724863035681824311890659007166497251776063359732689955747841057391508635211835645052582455895071614698668924042279189674932485413002860183<190>
prime factors 素因数
288930338469005353599485580369275166695378337711935311389042956166151<69>
16019038041812382906620435052163734761724146976630407409562843071091912461755043398419988334138406202497057347875424597233<122>
factorization results 素因数分解の結果
Number: n
N=4628386083368724526919092459672792255848245115496586724863035681824311890659007166497251776063359732689955747841057391508635211835645052582455895071614698668924042279189674932485413002860183
  ( 190 digits)
SNFS difficulty: 196 digits.
Divisors found:

Tue Mar  2 20:08:28 2010  prp69 factor: 288930338469005353599485580369275166695378337711935311389042956166151
Tue Mar  2 20:08:28 2010  prp122 factor: 16019038041812382906620435052163734761724146976630407409562843071091912461755043398419988334138406202497057347875424597233
Tue Mar  2 20:08:28 2010  elapsed time 07:04:33 (Msieve 1.42 - dependency 5)

Version: 
Total time: 17.65 hours.
Scaled time: 14.86 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_3_2_194_1
n: 4628386083368724526919092459672792255848245115496586724863035681824311890659007166497251776063359732689955747841057391508635211835645052582455895071614698668924042279189674932485413002860183
m: 1000000000000000000000000000000000000000
deg: 5
c5: 29
c0: -11
skew: 0.82
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 11452069)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3971906 hash collisions in 31208095 relations
Msieve: matrix is 1580391 x 1580616 (423.4 MB)

Total sieving time: 17.65 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,196,5,0,0,0,0,0,0,0,0,13200000,13200000,28,28,56,56,2.5,2.5,100000
total time: 17.65 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiAugust 24, 2009 00:43:26 UTC 2009 年 8 月 24 日 (月) 9 時 43 分 26 秒 (日本時間)

29×10196-119

c189

name 名前Robert Backstrom
date 日付November 18, 2010 13:15:42 UTC 2010 年 11 月 18 日 (木) 22 時 15 分 42 秒 (日本時間)
composite number 合成数
209621093082880306551736972674133313621433137445819154752340438117177761671504949186896513477386148399938740620890001242496501837777397727507704961199919942379527412903171304967411354346103<189>
prime factors 素因数
534129205272832149282411490205968060351076946498323493064736782303<66>
392453906308692227003873196717037062967634370763395029129466310609175856590024905364835717566665093166345409659891013994601<123>
factorization results 素因数分解の結果
Number: n
N=209621093082880306551736972674133313621433137445819154752340438117177761671504949186896513477386148399938740620890001242496501837777397727507704961199919942379527412903171304967411354346103
  ( 189 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Nov 18 22:18:45 2010  prp66 factor: 534129205272832149282411490205968060351076946498323493064736782303
Thu Nov 18 22:18:45 2010  prp123 factor: 392453906308692227003873196717037062967634370763395029129466310609175856590024905364835717566665093166345409659891013994601
Thu Nov 18 22:18:45 2010  elapsed time 04:52:14 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
name: KA_3_2_195_1
n: 209621093082880306551736972674133313621433137445819154752340438117177761671504949186896513477386148399938740620890001242496501837777397727507704961199919942379527412903171304967411354346103
m: 1000000000000000000000000000000000000000
deg: 5
c5: 290
c0: -11
skew: 0.52
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 24550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4330484 hash collisions in 31277359 relations
Msieve: matrix is 1891968 x 1892195 (536.7 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,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.32 BogoMIPS (lpj=2830164)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.06 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 21, 2010 14:16:39 UTC 2010 年 6 月 21 日 (月) 23 時 16 分 39 秒 (日本時間)
403e62446110Ignacio SantosJune 21, 2010 14:16:39 UTC 2010 年 6 月 21 日 (月) 23 時 16 分 39 秒 (日本時間)
2336Wataru SakaiJune 22, 2010 06:19:12 UTC 2010 年 6 月 22 日 (火) 15 時 19 分 12 秒 (日本時間)
4511e632 / 3924Ignacio SantosJune 21, 2010 14:16:39 UTC 2010 年 6 月 21 日 (月) 23 時 16 分 39 秒 (日本時間)

29×10197-119

c194

name 名前Robert Backstrom
date 日付March 26, 2010 14:21:48 UTC 2010 年 3 月 26 日 (金) 23 時 21 分 48 秒 (日本時間)
composite number 合成数
48843750526333518602731881494955619557711417647752345342158893773263941522240749162077038384450844660030653664123423104778266215283041112963805096592727333973354891954255301231199366715510417193<194>
prime factors 素因数
30284446744765948586739033517173142430691492465852128082919<59>
1612832849085320294181719309575580712666520201872565523809488530494958784866435031325234430059760446218728851046460531872792697903080047<136>
factorization results 素因数分解の結果
Number: n
N=48843750526333518602731881494955619557711417647752345342158893773263941522240749162077038384450844660030653664123423104778266215283041112963805096592727333973354891954255301231199366715510417193
  ( 194 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Mar 27 01:11:57 2010  prp59 factor: 30284446744765948586739033517173142430691492465852128082919
Sat Mar 27 01:11:57 2010  prp136 factor: 1612832849085320294181719309575580712666520201872565523809488530494958784866435031325234430059760446218728851046460531872792697903080047
Sat Mar 27 01:11:57 2010  elapsed time 04:51:36 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.071).
Factorization parameters were as follows:
name: KA_3_2_196_1
n: 48843750526333518602731881494955619557711417647752345342158893773263941522240749162077038384450844660030653664123423104778266215283041112963805096592727333973354891954255301231199366715510417193
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2900
c0: -11
skew: 0.33
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 22100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5006637 hash collisions in 33549115 relations
Msieve: matrix is 1871380 x 1871605 (531.9 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,198,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,56,56,2.5,2.5,100000
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
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 3, 2009 14:09:54 UTC 2009 年 9 月 3 日 (木) 23 時 9 分 54 秒 (日本時間)
4511e60--
5043e61140 / 7465yoyo@homeJanuary 24, 2010 09:30:20 UTC 2010 年 1 月 24 日 (日) 18 時 30 分 20 秒 (日本時間)

29×10199-119

c123

name 名前Andreas Tete
date 日付April 1, 2009 09:41:11 UTC 2009 年 4 月 1 日 (水) 18 時 41 分 11 秒 (日本時間)
composite number 合成数
141513304801840397176199213853517368373409932385348059248024938365674114582593771384352156694628593078442977112469430380307<123>
prime factors 素因数
155050675604209896581134157847019089481518228889<48>
912690668714493907373500136316795190459438996987480098514102369812675642763<75>
factorization results 素因数分解の結果
Wed Apr 01 09:36:21 2009  Msieve v. 1.40
Wed Apr 01 09:36:21 2009  random seeds: 2f036818 1c9667a9
Wed Apr 01 09:36:21 2009  factoring 141513304801840397176199213853517368373409932385348059248024938365674114582593771384352156694628593078442977112469430380307 (123 digits)
Wed Apr 01 09:36:23 2009  searching for 15-digit factors
Wed Apr 01 09:36:27 2009  commencing number field sieve (123-digit input)
Wed Apr 01 09:36:27 2009  R0: -423073470827005685607315
Wed Apr 01 09:36:27 2009  R1:  13967401442491
Wed Apr 01 09:36:27 2009  A0:  70931679734101278720793471830592
Wed Apr 01 09:36:27 2009  A1:  399817006788178411525051256
Wed Apr 01 09:36:27 2009  A2: -2498575242122106646366
Wed Apr 01 09:36:27 2009  A3: -3509459972756639
Wed Apr 01 09:36:27 2009  A4:  12966908382
Wed Apr 01 09:36:27 2009  A5:  10440
Wed Apr 01 09:36:27 2009  skew 445487.65, size 1.077372e-011, alpha -7.850271, combined = 2.207649e-010
Wed Apr 01 09:36:27 2009  
Wed Apr 01 09:36:27 2009  commencing relation filtering
Wed Apr 01 09:36:27 2009  commencing duplicate removal, pass 1
Wed Apr 01 09:39:09 2009  found 988578 hash collisions in 8803354 relations
Wed Apr 01 09:40:00 2009  added 36113 free relations
Wed Apr 01 09:40:00 2009  commencing duplicate removal, pass 2
Wed Apr 01 09:40:28 2009  found 938588 duplicates and 7900878 unique relations
Wed Apr 01 09:40:29 2009  memory use: 50.6 MB
Wed Apr 01 09:40:29 2009  reading rational ideals above 5963776
Wed Apr 01 09:40:29 2009  reading algebraic ideals above 5963776
Wed Apr 01 09:40:29 2009  commencing singleton removal, pass 1
Wed Apr 01 09:43:04 2009  relations with 0 large ideals: 209492
Wed Apr 01 09:43:04 2009  relations with 1 large ideals: 1364215
Wed Apr 01 09:43:04 2009  relations with 2 large ideals: 2981284
Wed Apr 01 09:43:04 2009  relations with 3 large ideals: 2528208
Wed Apr 01 09:43:04 2009  relations with 4 large ideals: 727713
Wed Apr 01 09:43:04 2009  relations with 5 large ideals: 33577
Wed Apr 01 09:43:04 2009  relations with 6 large ideals: 56384
Wed Apr 01 09:43:04 2009  relations with 7+ large ideals: 5
Wed Apr 01 09:43:04 2009  7900878 relations and about 7583434 large ideals
Wed Apr 01 09:43:04 2009  commencing singleton removal, pass 2
Wed Apr 01 09:46:06 2009  found 3541501 singletons
Wed Apr 01 09:46:06 2009  current dataset: 4359377 relations and about 3355214 large ideals
Wed Apr 01 09:46:06 2009  commencing singleton removal, pass 3
Wed Apr 01 09:47:41 2009  found 714711 singletons
Wed Apr 01 09:47:41 2009  current dataset: 3644666 relations and about 2595898 large ideals
Wed Apr 01 09:47:41 2009  commencing singleton removal, pass 4
Wed Apr 01 09:49:14 2009  found 193202 singletons
Wed Apr 01 09:49:14 2009  current dataset: 3451464 relations and about 2398555 large ideals
Wed Apr 01 09:49:14 2009  commencing singleton removal, final pass
Wed Apr 01 09:50:46 2009  memory use: 52.8 MB
Wed Apr 01 09:50:46 2009  commencing in-memory singleton removal
Wed Apr 01 09:50:46 2009  begin with 3451464 relations and 2525566 unique ideals
Wed Apr 01 09:50:53 2009  reduce to 3066244 relations and 2133375 ideals in 13 passes
Wed Apr 01 09:50:53 2009  max relations containing the same ideal: 34
Wed Apr 01 09:50:55 2009  reading rational ideals above 720000
Wed Apr 01 09:50:55 2009  reading algebraic ideals above 720000
Wed Apr 01 09:50:55 2009  commencing singleton removal, final pass
Wed Apr 01 09:52:34 2009  keeping 2716200 ideals with weight <= 20, new excess is 299435
Wed Apr 01 09:52:43 2009  memory use: 91.4 MB
Wed Apr 01 09:52:43 2009  commencing in-memory singleton removal
Wed Apr 01 09:52:43 2009  begin with 3076966 relations and 2716200 unique ideals
Wed Apr 01 09:52:53 2009  reduce to 3044552 relations and 2631466 ideals in 11 passes
Wed Apr 01 09:52:53 2009  max relations containing the same ideal: 20
Wed Apr 01 09:52:57 2009  removing 287604 relations and 254733 ideals in 32871 cliques
Wed Apr 01 09:52:57 2009  commencing in-memory singleton removal
Wed Apr 01 09:52:58 2009  begin with 2756948 relations and 2631466 unique ideals
Wed Apr 01 09:53:03 2009  reduce to 2739934 relations and 2359481 ideals in 7 passes
Wed Apr 01 09:53:03 2009  max relations containing the same ideal: 20
Wed Apr 01 09:53:07 2009  removing 213938 relations and 181067 ideals in 32871 cliques
Wed Apr 01 09:53:07 2009  commencing in-memory singleton removal
Wed Apr 01 09:53:08 2009  begin with 2525996 relations and 2359481 unique ideals
Wed Apr 01 09:53:12 2009  reduce to 2514692 relations and 2166979 ideals in 7 passes
Wed Apr 01 09:53:12 2009  max relations containing the same ideal: 20
Wed Apr 01 09:53:16 2009  relations with 0 large ideals: 14088
Wed Apr 01 09:53:16 2009  relations with 1 large ideals: 113775
Wed Apr 01 09:53:16 2009  relations with 2 large ideals: 386067
Wed Apr 01 09:53:16 2009  relations with 3 large ideals: 685336
Wed Apr 01 09:53:16 2009  relations with 4 large ideals: 700000
Wed Apr 01 09:53:16 2009  relations with 5 large ideals: 422321
Wed Apr 01 09:53:16 2009  relations with 6 large ideals: 155398
Wed Apr 01 09:53:16 2009  relations with 7+ large ideals: 37707
Wed Apr 01 09:53:16 2009  commencing 2-way merge
Wed Apr 01 09:53:21 2009  reduce to 1535349 relation sets and 1187636 unique ideals
Wed Apr 01 09:53:21 2009  commencing full merge
Wed Apr 01 09:53:46 2009  memory use: 101.8 MB
Wed Apr 01 09:53:47 2009  found 756022 cycles, need 709836
Wed Apr 01 09:53:47 2009  weight of 709836 cycles is about 49793751 (70.15/cycle)
Wed Apr 01 09:53:47 2009  distribution of cycle lengths:
Wed Apr 01 09:53:47 2009  1 relations: 81660
Wed Apr 01 09:53:47 2009  2 relations: 80216
Wed Apr 01 09:53:47 2009  3 relations: 79723
Wed Apr 01 09:53:47 2009  4 relations: 72217
Wed Apr 01 09:53:47 2009  5 relations: 66456
Wed Apr 01 09:53:47 2009  6 relations: 58726
Wed Apr 01 09:53:47 2009  7 relations: 51392
Wed Apr 01 09:53:47 2009  8 relations: 43837
Wed Apr 01 09:53:47 2009  9 relations: 38242
Wed Apr 01 09:53:47 2009  10+ relations: 137367
Wed Apr 01 09:53:47 2009  heaviest cycle: 18 relations
Wed Apr 01 09:53:47 2009  commencing cycle optimization
Wed Apr 01 09:53:50 2009  start with 4180043 relations
Wed Apr 01 09:54:13 2009  pruned 121259 relations
Wed Apr 01 09:54:13 2009  memory use: 109.1 MB
Wed Apr 01 09:54:13 2009  distribution of cycle lengths:
Wed Apr 01 09:54:13 2009  1 relations: 81660
Wed Apr 01 09:54:13 2009  2 relations: 82329
Wed Apr 01 09:54:13 2009  3 relations: 83048
Wed Apr 01 09:54:13 2009  4 relations: 74701
Wed Apr 01 09:54:13 2009  5 relations: 68609
Wed Apr 01 09:54:13 2009  6 relations: 59877
Wed Apr 01 09:54:13 2009  7 relations: 52159
Wed Apr 01 09:54:13 2009  8 relations: 44088
Wed Apr 01 09:54:13 2009  9 relations: 38064
Wed Apr 01 09:54:13 2009  10+ relations: 125301
Wed Apr 01 09:54:13 2009  heaviest cycle: 18 relations
Wed Apr 01 09:54:15 2009  RelProcTime: 566
Wed Apr 01 09:54:15 2009  
Wed Apr 01 09:54:15 2009  commencing linear algebra
Wed Apr 01 09:54:16 2009  read 709836 cycles
Wed Apr 01 09:54:19 2009  cycles contain 2265034 unique relations
Wed Apr 01 09:55:18 2009  read 2265034 relations
Wed Apr 01 09:55:26 2009  using 20 quadratic characters above 134217104
Wed Apr 01 09:55:55 2009  building initial matrix
Wed Apr 01 09:57:11 2009  memory use: 265.2 MB
Wed Apr 01 09:57:13 2009  read 709836 cycles
Wed Apr 01 09:57:15 2009  matrix is 709592 x 709836 (202.6 MB) with weight 67855787 (95.59/col)
Wed Apr 01 09:57:15 2009  sparse part has weight 47435926 (66.83/col)
Wed Apr 01 09:57:42 2009  filtering completed in 3 passes
Wed Apr 01 09:57:43 2009  matrix is 706151 x 706351 (202.1 MB) with weight 67635450 (95.75/col)
Wed Apr 01 09:57:43 2009  sparse part has weight 47325320 (67.00/col)
Wed Apr 01 09:57:48 2009  read 706351 cycles
Wed Apr 01 09:57:50 2009  matrix is 706151 x 706351 (202.1 MB) with weight 67635450 (95.75/col)
Wed Apr 01 09:57:50 2009  sparse part has weight 47325320 (67.00/col)
Wed Apr 01 09:57:50 2009  saving the first 48 matrix rows for later
Wed Apr 01 09:57:52 2009  matrix is 706103 x 706351 (193.9 MB) with weight 53758455 (76.11/col)
Wed Apr 01 09:57:52 2009  sparse part has weight 46585813 (65.95/col)
Wed Apr 01 09:57:52 2009  matrix includes 64 packed rows
Wed Apr 01 09:57:52 2009  using block size 65536 for processor cache size 3072 kB
Wed Apr 01 09:58:05 2009  commencing Lanczos iteration
Wed Apr 01 09:58:05 2009  memory use: 190.9 MB
Wed Apr 01 11:15:28 2009  lanczos halted after 11167 iterations (dim = 706103)
Wed Apr 01 11:15:30 2009  recovered 29 nontrivial dependencies
Wed Apr 01 11:15:30 2009  BLanczosTime: 4699
Wed Apr 01 11:15:30 2009  
Wed Apr 01 11:15:30 2009  commencing square root phase
Wed Apr 01 11:15:30 2009  reading relations for dependency 1
Wed Apr 01 11:15:31 2009  read 353185 cycles
Wed Apr 01 11:15:32 2009  cycles contain 1388016 unique relations
Wed Apr 01 11:15:52 2009  read 1388016 relations
Wed Apr 01 11:16:01 2009  multiplying 1131652 relations
Wed Apr 01 11:19:41 2009  multiply complete, coefficients have about 50.96 million bits
Wed Apr 01 11:19:43 2009  initial square root is modulo 20687743
Wed Apr 01 11:25:15 2009  sqrtTime: 585
Wed Apr 01 11:25:15 2009  prp48 factor: 155050675604209896581134157847019089481518228889
Wed Apr 01 11:25:15 2009  prp75 factor: 912690668714493907373500136316795190459438996987480098514102369812675642763
Wed Apr 01 11:25:15 2009  elapsed time 01:48:54
software ソフトウェア
Msieve v1.40 for Polynomial Search needs 05:38:57
GGNFS for sieving total time 59,59 hours
Msieve v1.40 for block Lanczos 01:48:54
total time ~ 67,1 hours
execution environment 実行環境
Intel Core 2 Duo T8100
Windows Vista Home Premium 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiFebruary 27, 2009 04:38:26 UTC 2009 年 2 月 27 日 (金) 13 時 38 分 26 秒 (日本時間)
403e62111Wataru SakaiFebruary 28, 2009 04:06:48 UTC 2009 年 2 月 28 日 (土) 13 時 6 分 48 秒 (日本時間)
4511e63974Wataru SakaiMarch 9, 2009 03:04:11 UTC 2009 年 3 月 9 日 (月) 12 時 4 分 11 秒 (日本時間)
5043e64 / 6577Max DettweilerMarch 11, 2009 04:37:02 UTC 2009 年 3 月 11 日 (水) 13 時 37 分 2 秒 (日本時間)

29×10200-119

c145

composite cofactor 合成数の残り
2088610314779412612083477919782861445505778796876914579979743108328834700496422161004763138669037078448651353454403945837822534741046565512696683<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 18, 2011 08:02:03 UTC 2011 年 5 月 18 日 (水) 17 時 2 分 3 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:54:40 UTC 2013 年 6 月 1 日 (土) 0 時 54 分 40 秒 (日本時間)
4511e61300 / 41921000Dmitry DomanovMay 31, 2013 15:54:40 UTC 2013 年 6 月 1 日 (土) 0 時 54 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:03 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 3 秒 (日本時間)

29×10202-119

c153

composite cofactor 合成数の残り
267529868803425436499811310539837516067887007486737223363744382203917432288462789195096923754854791937698368294971661900683449622429579473629271743965899<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 18, 2011 08:02:16 UTC 2011 年 5 月 18 日 (水) 17 時 2 分 16 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:56:10 UTC 2013 年 6 月 1 日 (土) 0 時 56 分 10 秒 (日本時間)
4511e61300 / 41921000Dmitry DomanovMay 31, 2013 15:56:10 UTC 2013 年 6 月 1 日 (土) 0 時 56 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:03 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 3 秒 (日本時間)

29×10203-119

c168

composite cofactor 合成数の残り
592665149804270858457391453231220901511577083088521771618827691525508045871296928580997501222515993050974918551890469604527199572141551096896682628052748075239296942403<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 18, 2011 08:02:24 UTC 2011 年 5 月 18 日 (水) 17 時 2 分 24 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:56:23 UTC 2013 年 6 月 1 日 (土) 0 時 56 分 23 秒 (日本時間)
4511e61300 / 41921000Dmitry DomanovJune 4, 2013 20:36:31 UTC 2013 年 6 月 5 日 (水) 5 時 36 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:03 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 3 秒 (日本時間)

29×10205-119

c169

name 名前Dmitry Domanov
date 日付June 13, 2013 13:18:38 UTC 2013 年 6 月 13 日 (木) 22 時 18 分 38 秒 (日本時間)
composite number 合成数
6151635153258517329161468730174083495767190942366737899758416700538277580850590024112354637885373470883183965538240893193410496457311933077809502041468642250062851236627<169>
prime factors 素因数
41098350376292807538356274626944191602393<41>
149680828961130993451293783013206839990155926303277956958091002873162905851903798236906554383942990058679330526804519592835528139<129>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2241855718
Step 1 took 68469ms
Step 2 took 25702ms
********** Factor found in step 2: 41098350376292807538356274626944191602393
Found probable prime factor of 41 digits: 41098350376292807538356274626944191602393

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 10, 2008 01:00:00 UTC 2008 年 11 月 10 日 (月) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 18, 2011 08:02:31 UTC 2011 年 5 月 18 日 (水) 17 時 2 分 31 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:56:33 UTC 2013 年 6 月 1 日 (土) 0 時 56 分 33 秒 (日本時間)
4511e61000 / 4192Dmitry DomanovJune 11, 2013 14:21:04 UTC 2013 年 6 月 11 日 (火) 23 時 21 分 4 秒 (日本時間)

29×10206-119

c171

composite cofactor 合成数の残り
496936042740471291530720697505773007769522446023889312359914840582600066910677732186262506451196682812713835335255742392151798495765118841274475046323944549978944246533993<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 15:56:45 UTC 2013 年 6 月 1 日 (土) 0 時 56 分 45 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovJune 11, 2013 14:21:17 UTC 2013 年 6 月 11 日 (火) 23 時 21 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:04 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 4 秒 (日本時間)

29×10208-119

c166

name 名前Dmitry Domanov
date 日付June 13, 2013 13:19:25 UTC 2013 年 6 月 13 日 (木) 22 時 19 分 25 秒 (日本時間)
composite number 合成数
2110398771386939256926266681791979994937004493686016327591834782599380040124730712802293411547085883907123751447641008567808679832466826946104038191571553562229905529<166>
prime factors 素因数
263062212555343914111232237378449706991845973<45>
composite cofactor 合成数の残り
8022432225772245631287488127157398113438853611935136438557772458605134014818304315157501501615517690168912035472049031573<121>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1224574265
Step 1 took 71802ms
Step 2 took 23969ms
********** Factor found in step 2: 263062212555343914111232237378449706991845973
Found probable prime factor of 45 digits: 263062212555343914111232237378449706991845973

c121

name 名前Erik Branger
date 日付June 15, 2013 07:04:25 UTC 2013 年 6 月 15 日 (土) 16 時 4 分 25 秒 (日本時間)
composite number 合成数
8022432225772245631287488127157398113438853611935136438557772458605134014818304315157501501615517690168912035472049031573<121>
prime factors 素因数
200583757747080449330454992818371014768151678917620776011<57>
39995422938919461414405305604067259383438133107732449368189642143<65>
factorization results 素因数分解の結果
Number: 32221_208
N = 8022432225772245631287488127157398113438853611935136438557772458605134014818304315157501501615517690168912035472049031573 (121 digits)
Divisors found:
r1=200583757747080449330454992818371014768151678917620776011 (pp57)
r2=39995422938919461414405305604067259383438133107732449368189642143 (pp65)
Version: Msieve v. 1.51 (SVN 845)
Total time: 22.30 hours.
Factorization parameters were as follows:
n: 8022432225772245631287488127157398113438853611935136438557772458605134014818304315157501501615517690168912035472049031573
Y0: -369547650461978946954139
Y1: 1706916265589
c0: 10938498332619982778295555102000
c1: 135688997256429310768328380
c2: -100489414253110243188
c3: -1063802427051201
c4: 492851372
c5: 1164
skew: 548593.46 
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10258552
Relations: 1414842 relations
Pruned matrix : 786607 x 786834
Polynomial selection time: 0.00 hours.
Total sieving time: 21.64 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.42 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 22.30 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
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 KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 15:56:57 UTC 2013 年 6 月 1 日 (土) 0 時 56 分 57 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 11, 2013 14:21:29 UTC 2013 年 6 月 11 日 (火) 23 時 21 分 29 秒 (日本時間)

29×10209-119

c210

name 名前Serge Batalov
date 日付December 11, 2014 23:29:13 UTC 2014 年 12 月 12 日 (金) 8 時 29 分 13 秒 (日本時間)
composite number 合成数
107407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407<210>
prime factors 素因数
24859622469920138241965957442357548163488504207397930034149247992654049858364782141<83>
4320556659191794019947405650852279820343131070210644449842256936500061883406898693858152165529169048568247285517477224696305627<127>
factorization results 素因数分解の結果
RelProcTime: 2066
BLanczosTime: 9189
sqrtTime: 1697

prp83 factor: 24859622469920138241965957442357548163488504207397930034149247992654049858364782141
prp127 factor: 4320556659191794019947405650852279820343131070210644449842256936500061883406898693858152165529169048568247285517477224696305627

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 20, 2013 18:04:53 UTC 2013 年 5 月 21 日 (火) 3 時 4 分 53 秒 (日本時間)
403e61110110Ignacio SantosMay 20, 2013 18:04:53 UTC 2013 年 5 月 21 日 (火) 3 時 4 分 53 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:57:09 UTC 2013 年 6 月 1 日 (土) 0 時 57 分 9 秒 (日本時間)
4511e6498232Ignacio SantosMay 20, 2013 18:04:53 UTC 2013 年 5 月 21 日 (火) 3 時 4 分 53 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:57:09 UTC 2013 年 6 月 1 日 (土) 0 時 57 分 9 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:06 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 6 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:25 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 25 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:26:04 UTC 2014 年 5 月 24 日 (土) 12 時 26 分 4 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:23 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 23 秒 (日本時間)
5043e62000 / 6391Serge BatalovDecember 10, 2014 01:26:56 UTC 2014 年 12 月 10 日 (水) 10 時 26 分 56 秒 (日本時間)

29×10210-119

c176

composite cofactor 合成数の残り
14075503879619406217158389397781491424668955939787427603985877586266911837244499789554848061144997789809766323067337265007838665723129292274983311146436841895766462973946186909<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovMay 31, 2013 15:57:33 UTC 2013 年 6 月 1 日 (土) 0 時 57 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:33 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 33 秒 (日本時間)
4511e6595 / 4188295CypFebruary 17, 2014 00:40:27 UTC 2014 年 2 月 17 日 (月) 9 時 40 分 27 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:04 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 4 秒 (日本時間)

29×10211-119

c164

composite cofactor 合成数の残り
42070063232821548088118875508093472332821484656797202171465928358099632178558259126731394398459803482301778379068631585719651942332429979929227016655501690676734617<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 15:57:47 UTC 2013 年 6 月 1 日 (土) 0 時 57 分 47 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovMay 31, 2013 15:57:47 UTC 2013 年 6 月 1 日 (土) 0 時 57 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:05 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 5 秒 (日本時間)

29×10215-119

c139

name 名前Ignacio Santos
date 日付May 21, 2013 19:51:09 UTC 2013 年 5 月 22 日 (水) 4 時 51 分 9 秒 (日本時間)
composite number 合成数
2823773814626206975242934552144645920608425777416859268651869696427047225298969585266990535438961907819189439235624707950648152334562627387<139>
prime factors 素因数
38915715847203488245202431985389259<35>
72561271279534368974461704106125304922389446271331152532936700106020584086227303660160250129191718355793<104>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2992794954
Step 1 took 1735ms
Step 2 took 1672ms
********** Factor found in step 2: 38915715847203488245202431985389259
Found probable prime factor of 35 digits: 38915715847203488245202431985389259
Probable prime cofactor 72561271279534368974461704106125304922389446271331152532936700106020584086227303660160250129191718355793 has 104 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)

29×10216-119

c166

composite cofactor 合成数の残り
1479289648927169433564138784310815949701010283810260587745903694626391221756464955964663603762717474477142432356799159580651865639496402675994802123240726042017708731<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 15:58:05 UTC 2013 年 6 月 1 日 (土) 0 時 58 分 5 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovMay 31, 2013 15:58:05 UTC 2013 年 6 月 1 日 (土) 0 時 58 分 5 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:05 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 5 秒 (日本時間)

29×10217-119

c186

name 名前Dmitry Domanov
date 日付May 22, 2013 05:34:30 UTC 2013 年 5 月 22 日 (水) 14 時 34 分 30 秒 (日本時間)
composite number 合成数
349224765811846623695702203361161153924909946215927230387097364056119917292446884814254184053263307427481579868667277668160518051457411875301086938590266984725982290342864940508665173361<186>
prime factors 素因数
46944822908563426612702557800717<32>
7439047464127144181179525563886213165234903697841759791338719610537019646847660458092525454475461485636252534534454827728905448329291359670172266224934133<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=488044007
Step 1 took 23050ms
Step 2 took 9234ms
********** Factor found in step 2: 46944822908563426612702557800717
Found probable prime factor of 32 digits: 46944822908563426612702557800717

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)

29×10220-119

c183

name 名前Dmitry Domanov
date 日付May 22, 2013 05:32:58 UTC 2013 年 5 月 22 日 (水) 14 時 32 分 58 秒 (日本時間)
composite number 合成数
121189996594890185746714092966754474267651895687573450629429257207084146730516095082284343483878007521213264761200050733455033756625365471632623800336687848220192661372343091652578059<183>
prime factors 素因数
837744034971882952950001347900406027<36>
composite cofactor 合成数の残り
144662321109761960926071270977192599299105190176380197307727873192284034757394939584081087047998413828559788662788030781301670783689155831474402817<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=274516876
Step 1 took 22913ms
Step 2 took 8967ms
********** Factor found in step 2: 837744034971882952950001347900406027
Found probable prime factor of 36 digits: 837744034971882952950001347900406027

c147

name 名前Dmitry Domanov
date 日付June 3, 2013 05:34:12 UTC 2013 年 6 月 3 日 (月) 14 時 34 分 12 秒 (日本時間)
composite number 合成数
144662321109761960926071270977192599299105190176380197307727873192284034757394939584081087047998413828559788662788030781301670783689155831474402817<147>
prime factors 素因数
1279618641363002637027214395394250695549<40>
113051120414808106954277150463206108236217704907487258943137136996430654920374243859402285126688211812965333<108>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=382650418
Step 1 took 60755ms
Step 2 took 23825ms
********** Factor found in step 2: 1279618641363002637027214395394250695549
Found probable prime factor of 40 digits: 1279618641363002637027214395394250695549

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2013 20:42:09 UTC 2013 年 5 月 24 日 (金) 5 時 42 分 9 秒 (日本時間)
403e61110110Ignacio SantosMay 23, 2013 20:42:09 UTC 2013 年 5 月 24 日 (金) 5 時 42 分 9 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:58:19 UTC 2013 年 6 月 1 日 (土) 0 時 58 分 19 秒 (日本時間)
4511e61032 / 421632Ignacio SantosMay 23, 2013 20:42:09 UTC 2013 年 5 月 24 日 (金) 5 時 42 分 9 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:58:19 UTC 2013 年 6 月 1 日 (土) 0 時 58 分 19 秒 (日本時間)

29×10223-119

c188

name 名前Cyp
date 日付January 7, 2014 22:51:27 UTC 2014 年 1 月 8 日 (水) 7 時 51 分 27 秒 (日本時間)
composite number 合成数
40176372413866749529118027381603046857511913850450081660200599214471958982148866233891568786002455091977396051104001847154186563090117301024516240226454460862309158463903925053471779343903<188>
prime factors 素因数
23752456446509870770726648993728526577721618293<47>
1691461786461676461688527532076898886483703869279096587809690417688653130835559077270111494182782743124425746592157738605821397153622067480771<142>
factorization results 素因数分解の結果
Run 258 out of 392:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3560740859
Step 1 took 59054ms
Step 2 took 19347ms
********** Factor found in step 2: 23752456446509870770726648993728526577721618293
Found probable prime factor of 47 digits: 23752456446509870770726648993728526577721618293
Probable prime cofactor 1691461786461676461688527532076898886483703869279096587809690417688653130835559077270111494182782743124425746592157738605821397153622067480771 has 142 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61000 / 1428Dmitry DomanovMay 31, 2013 15:58:31 UTC 2013 年 6 月 1 日 (土) 0 時 58 分 31 秒 (日本時間)
4511e6258 / 4254CypJanuary 7, 2014 22:51:26 UTC 2014 年 1 月 8 日 (水) 7 時 51 分 26 秒 (日本時間)

29×10224-119

c213

name 名前Dmitry Domanov
date 日付May 22, 2013 05:31:33 UTC 2013 年 5 月 22 日 (水) 14 時 31 分 33 秒 (日本時間)
composite number 合成数
155288843256918691826293021297611836772180820406244560828275451535346462842016296147653834808009439132144153367286958944951448791402915170795826562235956106927478011991912223373292498110701511024119960845741989897<213>
prime factors 素因数
427497198446317215444770052551<30>
363251136665446532359782416865069682556031025304872011755004864828543493273812541471354036239226962831476383160263358283854607534760969245121321496880638522790447100287656778073520047<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=48443552
Step 1 took 31629ms
Step 2 took 11241ms
********** Factor found in step 2: 427497198446317215444770052551
Found probable prime factor of 30 digits: 427497198446317215444770052551

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)

29×10225-119

c184

composite cofactor 合成数の残り
1940730912974717878329295537906510520501357092758606671078955362575202520741351733615844672945162843076645741018760612088002595568898246803548555954947642728072312626768405956467833561<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovMay 31, 2013 15:58:42 UTC 2013 年 6 月 1 日 (土) 0 時 58 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:34 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:59 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 59 秒 (日本時間)

29×10226-119

c182

composite cofactor 合成数の残り
86024124167578476175926074982890631456533895656559279111059821145440172588229683507443804175574021030002092471402655709145515733302420946998670438225150126107428883793642787925030079<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovMay 31, 2013 15:58:51 UTC 2013 年 6 月 1 日 (土) 0 時 58 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:35 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 35 秒 (日本時間)
4511e6595 / 4188295CypFebruary 15, 2014 09:33:42 UTC 2014 年 2 月 15 日 (土) 18 時 33 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:05 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 5 秒 (日本時間)

29×10229-119

c227

name 名前Dmitry Domanov
date 日付June 3, 2013 05:45:10 UTC 2013 年 6 月 3 日 (月) 14 時 45 分 10 秒 (日本時間)
composite number 合成数
28692985059859503314534481052735727713465914712575442762441871969921836351043831008212130206787375086573661818541604828336796279806074997526466805184525576333234392005540714356386662709013554961907588799841693875531809636885327<227>
prime factors 素因数
1214127944631016001514090854742530973340919<43>
23632587641807017296827902845632231445489222234965396020950552528606288313496514934083873484069376250795123047990784374636107906574798850280376713942347112875948112592642954433935165033<185>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4276483362
Step 1 took 124443ms
Step 2 took 43104ms
********** Factor found in step 2: 1214127944631016001514090854742530973340919
Found probable prime factor of 43 digits: 1214127944631016001514090854742530973340919

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 30, 2013 18:38:51 UTC 2013 年 5 月 31 日 (金) 3 時 38 分 51 秒 (日本時間)
403e61110110Ignacio SantosMay 30, 2013 18:38:51 UTC 2013 年 5 月 31 日 (金) 3 時 38 分 51 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:59:03 UTC 2013 年 6 月 1 日 (土) 0 時 59 分 3 秒 (日本時間)
4511e61032 / 421632Ignacio SantosMay 30, 2013 18:38:51 UTC 2013 年 5 月 31 日 (金) 3 時 38 分 51 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:59:03 UTC 2013 年 6 月 1 日 (土) 0 時 59 分 3 秒 (日本時間)

29×10230-119

c182

composite cofactor 合成数の残り
38391536651729667901118153729703031864710736557115662990322344959477248954243625481970991460340201497503517333347738682567157499642655627145335906367520143257805220871564396121208687<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovMay 31, 2013 15:59:17 UTC 2013 年 6 月 1 日 (土) 0 時 59 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:35 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:59 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 59 秒 (日本時間)

29×10231-119

c228

composite cofactor 合成数の残り
272630698216619191320942738152315950776057384061445318742890449464609715053915070836976243525020917355294206127609968882496169068637128540673679856351825215519267469517067621814216280753212811762604469263239040715984619868197159<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 30, 2013 19:26:38 UTC 2013 年 5 月 31 日 (金) 4 時 26 分 38 秒 (日本時間)
403e61110110Ignacio SantosMay 30, 2013 19:26:38 UTC 2013 年 5 月 31 日 (金) 4 時 26 分 38 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:59:30 UTC 2013 年 6 月 1 日 (土) 0 時 59 分 30 秒 (日本時間)
4511e6428232Ignacio SantosMay 30, 2013 19:26:38 UTC 2013 年 5 月 31 日 (金) 4 時 26 分 38 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 15:59:30 UTC 2013 年 6 月 1 日 (土) 0 時 59 分 30 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:00 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 0 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:53 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 53 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:39 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 39 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:59 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:06 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 6 秒 (日本時間)

29×10232-119

c214

name 名前Dmitry Domanov
date 日付May 22, 2013 05:33:29 UTC 2013 年 5 月 22 日 (水) 14 時 33 分 29 秒 (日本時間)
composite number 合成数
5437526320673603517356728412760672842590023176708345004136899697913884172015059965961163678466840379922700264315575942023234417043149400644549929133689934342932289431410487195904164466634759096918920129889795163259<214>
prime factors 素因数
523866973178008475797978033090249<33>
composite cofactor 合成数の残り
10379593673728211662035877467478410461233603256499976596745740030745110127189872646867527603149107909364445204141349063700152523113875319052141713092509489710601662466418334086899491<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3660714689
Step 1 took 30807ms
Step 2 took 11116ms
********** Factor found in step 2: 523866973178008475797978033090249
Found probable prime factor of 33 digits: 523866973178008475797978033090249

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovMay 31, 2013 15:59:49 UTC 2013 年 6 月 1 日 (土) 0 時 59 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:36 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:00 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 0 秒 (日本時間)

29×10233-119

c175

composite cofactor 合成数の残り
2637236268899382821785962954229050501515178181387000977451151041015419849018650205751327269732591096463087944527322675823698342902316244711887036668018850356700221600178877933<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovMay 31, 2013 15:59:58 UTC 2013 年 6 月 1 日 (土) 0 時 59 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:37 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 37 秒 (日本時間)
4511e6595 / 4188295CypFebruary 18, 2014 13:30:52 UTC 2014 年 2 月 18 日 (火) 22 時 30 分 52 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:06 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 6 秒 (日本時間)

29×10235-119

c167

name 名前Dmitry Domanov
date 日付June 3, 2013 05:34:55 UTC 2013 年 6 月 3 日 (月) 14 時 34 分 55 秒 (日本時間)
composite number 合成数
23719625510312031883800859656384263757680532699229183458971197151387873693105450031618711175235871752101295814031660989769376912189777716783440733193882965584737900957<167>
prime factors 素因数
70140235531864785482154429354884850407<38>
338174306522483520188431429428331207294255936225680399314785246329590970245693033387526022506281460199148755942916863831497298651<129>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3668642533
Step 1 took 73120ms
Step 2 took 26885ms
********** Factor found in step 2: 70140235531864785482154429354884850407
Found probable prime factor of 38 digits: 70140235531864785482154429354884850407

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:00:11 UTC 2013 年 6 月 1 日 (土) 1 時 0 分 11 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:00:11 UTC 2013 年 6 月 1 日 (土) 1 時 0 分 11 秒 (日本時間)

29×10236-119

c223

name 名前Dmitry Domanov
date 日付May 22, 2013 05:30:58 UTC 2013 年 5 月 22 日 (水) 14 時 30 分 58 秒 (日本時間)
composite number 合成数
7814411837119729899216693828809908423520432835140582458477567353849140268461377838895666690091787344735374919163090890745917887924620891092106382801336113310912814383526611666224988709910101610805740894062673137730129260901<223>
prime factors 素因数
1235650644518259877368595193729811697<37>
6324127189013295668848665754186618613261203081996547516313105429307247763258513045159978970402701662764620624674425476096326340786216958734249383104305393342583507057904923927316644471733<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3257237972
Step 1 took 30785ms
Step 2 took 11374ms
********** Factor found in step 2: 1235650644518259877368595193729811697
Found probable prime factor of 37 digits: 1235650644518259877368595193729811697

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)

29×10237-119

c217

composite cofactor 合成数の残り
8880638644681941654108568798040500686259846643987549856707257486300335864953773903785042534080946681593551291996448486787310176290096993770088935633316288740886624448273979085167960025759461815474761000137170578392007<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovMay 31, 2013 16:00:27 UTC 2013 年 6 月 1 日 (土) 1 時 0 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:38 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 38 秒 (日本時間)
4511e6595 / 4188295CypMarch 8, 2014 14:48:37 UTC 2014 年 3 月 8 日 (土) 23 時 48 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:07 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 7 秒 (日本時間)

29×10238-119

c167

name 名前Dmitry Domanov
date 日付June 27, 2013 09:28:25 UTC 2013 年 6 月 27 日 (木) 18 時 28 分 25 秒 (日本時間)
composite number 合成数
26309739861795447338583545826917519569766504613955227096429706882954560771211337186682277763729630429744953733374644249118615013238441121545661836357510775432512511289<167>
prime factors 素因数
1002159241818216463299824284854970589799040883<46>
26253053171531615923851678438611671315507537971645853942393900896163737766427530294919223461805498239244519442899890546083<122>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2315347010
Step 1 took 348766ms
Step 2 took 98312ms
********** Factor found in step 2: 1002159241818216463299824284854970589799040883
Found probable prime factor of 46 digits: 1002159241818216463299824284854970589799040883

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 21, 2013 20:45:25 UTC 2013 年 5 月 22 日 (水) 5 時 45 分 25 秒 (日本時間)
403e61110110Ignacio SantosMay 21, 2013 20:45:25 UTC 2013 年 5 月 22 日 (水) 5 時 45 分 25 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:00:40 UTC 2013 年 6 月 1 日 (土) 1 時 0 分 40 秒 (日本時間)
4511e61032 / 140932Ignacio SantosMay 21, 2013 20:45:25 UTC 2013 年 5 月 22 日 (水) 5 時 45 分 25 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:00:40 UTC 2013 年 6 月 1 日 (土) 1 時 0 分 40 秒 (日本時間)
5043e6800 / 7277Dmitry DomanovJune 27, 2013 05:34:53 UTC 2013 年 6 月 27 日 (木) 14 時 34 分 53 秒 (日本時間)

29×10239-119

c203

composite cofactor 合成数の残り
64277105141128889796944323904075178475564464569841610493307455927368414675626057479127296067108296730068771908421510895256433049322822834006802726842572693436358620493507771634828588975527028840344191607<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovMay 31, 2013 16:00:52 UTC 2013 年 6 月 1 日 (土) 1 時 0 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:38 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 38 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:00 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 0 秒 (日本時間)

29×10240-119

c238

name 名前Dmitry Domanov
date 日付May 22, 2013 05:30:21 UTC 2013 年 5 月 22 日 (水) 14 時 30 分 21 秒 (日本時間)
composite number 合成数
8116428771340610131542121466554715924993003078645396025748670584942625244892247411139098796529527008116428771340610131542121466554715924993003078645396025748670584942625244892247411139098796529527008116428771340610131542121466554715924993<238>
prime factors 素因数
12192158318374513144741697747089<32>
665708938433692457201789925856973984014724366253875108962222594544890506797317354776052417814316515047867382249740576160664019174667480753357188397837040694448109685751578793216976365886350121943299721204337<207>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=807570709
Step 1 took 34930ms
Step 2 took 12226ms
********** Factor found in step 2: 12192158318374513144741697747089
Found probable prime factor of 32 digits: 12192158318374513144741697747089

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)

29×10241-119

c211

name 名前Dmitry Domanov
date 日付May 22, 2013 05:29:47 UTC 2013 年 5 月 22 日 (水) 14 時 29 分 47 秒 (日本時間)
composite number 合成数
1504577802088635408698264815864802307602877922655450087940241254039215518019839809700431303851561033288642975800825637947911385306110914724342992121784819323881078223534686238449876311613015271651715020041972897<211>
prime factors 素因数
22064240771950658963821504890383<32>
7490699795666195609251305377257777<34>
composite cofactor 合成数の残り
9103392537803768964145186458769688752964245890699319123095392198972956007665282761356310823520546457504444635831681442809095575522857288449770367<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=346259170
Step 1 took 26728ms
********** Factor found in step 1: 22064240771950658963821504890383
Found probable prime factor of 32 digits: 22064240771950658963821504890383

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2013062167
Step 1 took 22754ms
Step 2 took 8906ms
********** Factor found in step 2: 7490699795666195609251305377257777
Found probable prime factor of 34 digits: 7490699795666195609251305377257777

c145

name 名前Dmitry Domanov
date 日付June 3, 2013 05:33:33 UTC 2013 年 6 月 3 日 (月) 14 時 33 分 33 秒 (日本時間)
composite number 合成数
9103392537803768964145186458769688752964245890699319123095392198972956007665282761356310823520546457504444635831681442809095575522857288449770367<145>
prime factors 素因数
2515783140202920698466766914580476606127<40>
3618512419583787295972010367208064066947158827866648724199025842799407460041533098108051673882522145027121<106>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3671570284
Step 1 took 60211ms
Step 2 took 22989ms
********** Factor found in step 2: 2515783140202920698466766914580476606127
Found probable prime factor of 40 digits: 2515783140202920698466766914580476606127

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2013 20:34:43 UTC 2013 年 5 月 24 日 (金) 5 時 34 分 43 秒 (日本時間)
403e61110110Ignacio SantosMay 23, 2013 20:34:43 UTC 2013 年 5 月 24 日 (金) 5 時 34 分 43 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:01:05 UTC 2013 年 6 月 1 日 (土) 1 時 1 分 5 秒 (日本時間)
4511e61032 / 421632Ignacio SantosMay 23, 2013 20:34:43 UTC 2013 年 5 月 24 日 (金) 5 時 34 分 43 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:01:05 UTC 2013 年 6 月 1 日 (土) 1 時 1 分 5 秒 (日本時間)

29×10242-119

c235

composite cofactor 合成数の残り
4009073894543597758589824791568006295805405934498542459021240818628060656441971608957990281891519605852628000263199848494609134504275711178292959533034353468037414375219309302399728365060031271135811651297460247955220591072445777652291<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:01:19 UTC 2013 年 6 月 1 日 (土) 1 時 1 分 19 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovMay 31, 2013 16:01:19 UTC 2013 年 6 月 1 日 (土) 1 時 1 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:07 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 7 秒 (日本時間)

29×10243-119

c242

composite cofactor 合成数の残り
25371828521434820647419072615923009623797025371828521434820647419072615923009623797025371828521434820647419072615923009623797025371828521434820647419072615923009623797025371828521434820647419072615923009623797025371828521434820647419072615923<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:01:37 UTC 2013 年 6 月 1 日 (土) 1 時 1 分 37 秒 (日本時間)
4511e618501000Dmitry DomanovMay 31, 2013 16:01:37 UTC 2013 年 6 月 1 日 (土) 1 時 1 分 37 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:39 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 39 秒 (日本時間)
5043e6775 / 7100Serge BatalovNovember 25, 2013 02:17:44 UTC 2013 年 11 月 25 日 (月) 11 時 17 分 44 秒 (日本時間)

29×10245-119

c220

name 名前Dmitry Domanov
date 日付May 22, 2013 05:33:55 UTC 2013 年 5 月 22 日 (水) 14 時 33 分 55 秒 (日本時間)
composite number 合成数
2336293028231761377896952232059108399320502371471595301862350691139400455175551110065498929906054318008231700915306687870933347371500400572939436042220027595198658133896421494215459578026066391818789577911648733685192541<220>
prime factors 素因数
1358111291311131617988613121<28>
1720251531062881602749276395852503489827430165285378643421385177366966192332446632991638089336740575251057425916255849697863765042506450750982178893948300145735233640308440361912456834634077021<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2080164442
Step 1 took 30973ms
Step 2 took 11191ms
********** Factor found in step 2: 1358111291311131617988613121
Found probable prime factor of 28 digits: 1358111291311131617988613121

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)

29×10246-119

c235

composite cofactor 合成数の残り
5900699553393553031365210387918469299057433048019635097417772530446009333720593037483663953403556696569092985611506100779187192310390168859395617253997345023777822992499743685446881317574231148775779002357358012450574607074889707445701<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:01:58 UTC 2013 年 6 月 1 日 (土) 1 時 1 分 58 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovMay 31, 2013 16:01:58 UTC 2013 年 6 月 1 日 (土) 1 時 1 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:07 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 7 秒 (日本時間)

29×10247-119

c199

composite cofactor 合成数の残り
1752754530583627191409601427340806021916716007696720086598808322176579117089882745350540455784707656244415948167050099966608207382488208225737400199271104345515877111851475776475687036917537236684867<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovMay 31, 2013 16:02:10 UTC 2013 年 6 月 1 日 (土) 1 時 2 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:39 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 39 秒 (日本時間)
4511e61324 / 41881024CypApril 30, 2014 05:49:04 UTC 2014 年 4 月 30 日 (水) 14 時 49 分 4 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:08 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 8 秒 (日本時間)

29×10248-119

c245

name 名前Dmitry Domanov
date 日付May 22, 2013 05:32:06 UTC 2013 年 5 月 22 日 (水) 14 時 32 分 6 秒 (日本時間)
composite number 合成数
53892326847670550630911895337384549627399602311794986155247068443255096541599301258107078478378026797494935979632417163776922933972607831112597795989667540094032818568694133169797996692126145211945512999200906877775919421679582241549125643455799<245>
prime factors 素因数
441572077308978406451792922460093<33>
composite cofactor 合成数の残り
122046500711956968528863343023524852786776289279983753033013176550721119793437394211014470004463392029199620841901793046516724062632552529720653503572467403576589045822600398357349724161926791362681589983838512643<213>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4002892418
Step 1 took 34976ms
Step 2 took 12588ms
********** Factor found in step 2: 441572077308978406451792922460093
Found probable prime factor of 33 digits: 441572077308978406451792922460093

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovMay 31, 2013 16:02:19 UTC 2013 年 6 月 1 日 (土) 1 時 2 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:40 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:00 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 0 秒 (日本時間)

29×10249-119

c225

composite cofactor 合成数の残り
693161752356015201479714813134180815690641141594735380981677182184469588210352408641081654033103656491855238180314694648824784165742874778740726427692105353869417148482887733580919541310982832583241989347564229543461121679121<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovMay 31, 2013 16:02:29 UTC 2013 年 6 月 1 日 (土) 1 時 2 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:40 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 40 秒 (日本時間)
4511e62348 / 41882048CypApril 30, 2014 16:04:29 UTC 2014 年 5 月 1 日 (木) 1 時 4 分 29 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:08 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 8 秒 (日本時間)

29×10250-119

c212

name 名前Dmitry Domanov
date 日付May 21, 2013 05:10:35 UTC 2013 年 5 月 21 日 (火) 14 時 10 分 35 秒 (日本時間)
composite number 合成数
93016910529642489173009172237495840780337836352406117117108267987374159223449624412155812633193869062893877592941481462378484493247179262837805998237316865492669022604034349934035881903597990722977402046237493953<212>
prime factors 素因数
76492438597816085972719312873456766503<38>
1216027521605229470812062745587417490713558194785907855342990789107809926831089067227475710260865092103734241313596377728861444779150662945221234040996889801235742982876584151<175>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2776810428
Step 1 took 99649ms
Step 2 took 28910ms
********** Factor found in step 2: 76492438597816085972719312873456766503
Found probable prime factor of 38 digits: 76492438597816085972719312873456766503

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 20, 2013 15:00:00 UTC 2013 年 5 月 21 日 (火) 0 時 0 分 0 秒 (日本時間)
403e624000Dmitry DomanovMay 20, 2013 21:50:34 UTC 2013 年 5 月 21 日 (火) 6 時 50 分 34 秒 (日本時間)

29×10251-119

c198

composite cofactor 合成数の残り
192455545627126917428048635814586451676825478524338228434210435895091340106543006611054730720755855780104229258187608242208425889874440101917624827967396208248404572828822298031354790355893826014789<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:24:24 UTC 2016 年 9 月 28 日 (水) 17 時 24 分 24 秒 (日本時間)

29×10253-119

c208

name 名前Erik Branger
date 日付September 28, 2016 08:25:00 UTC 2016 年 9 月 28 日 (水) 17 時 25 分 0 秒 (日本時間)
composite number 合成数
1190146966985744910225757298833815482591445741383151261006633538246147894655397575787037451132046764967269164491837696124634874933306060397510523762979793087874698851538808644425498580713756203717779365747997<208>
prime factors 素因数
7191727735573087033545721276095733849861<40>
165488323633111744565842217528152511682729580658237036584076237825703043083505041488674866602241200188811136917498261498532162333289746181464141499362589005957862846777<168>
factorization results 素因数分解の結果
Mon 2016/09/26 10:17:48 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Mon 2016/09/26 10:17:48 UTC Input number is 1190146966985744910225757298833815482591445741383151261006633538246147894655397575787037451132046764967269164491837696124634874933306060397510523762979793087874698851538808644425498580713756203717779365747997 (208 digits)
Mon 2016/09/26 10:17:48 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2900830081
Mon 2016/09/26 10:17:48 UTC Step 1 took 10514ms
Mon 2016/09/26 10:17:48 UTC Step 2 took 4712ms
Mon 2016/09/26 10:17:48 UTC ********** Factor found in step 2: 7191727735573087033545721276095733849861
Mon 2016/09/26 10:17:48 UTC Found prime factor of 40 digits: 7191727735573087033545721276095733849861
Mon 2016/09/26 10:17:48 UTC Prime cofactor 165488323633111744565842217528152511682729580658237036584076237825703043083505041488674866602241200188811136917498261498532162333289746181464141499362589005957862846777 has 168 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)

29×10254-119

c237

composite cofactor 合成数の残り
182903183323989236510038510228668902369692890654806850739484833576694547659167396858126034418844809387685394410588738502134976387391892615809810023636285320009966394708792866374878259532320306625241229345618542486510662179941780102312243<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:25:14 UTC 2016 年 9 月 28 日 (水) 17 時 25 分 14 秒 (日本時間)

29×10256-119

c197

composite cofactor 合成数の残り
17323463391714724104752205150000123654963878098672127129853564190766982105897795236735891590753804893916181587327518437886392316234283576133514206301876251208863204160053765458834691369959999557401<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:25:32 UTC 2016 年 9 月 28 日 (水) 17 時 25 分 32 秒 (日本時間)

29×10257-119

c196

composite cofactor 合成数の残り
7320730627895916167709875399113399229825461640075653136413658581713972702638029140180693039286743642623582178648752167985248139662182096449706877970045168225321128631902634268794815548712660558001<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:25:37 UTC 2016 年 9 月 28 日 (水) 17 時 25 分 37 秒 (日本時間)

29×10258-119

c224

composite cofactor 合成数の残り
15666873783891140572704129562197039721418218336206706118115669649140756445150802816899959961952752602175792807947389285696078308316874013788943504479168498646366607848026317527548334479491321208815031137625048575059081717207<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:26:01 UTC 2016 年 9 月 28 日 (水) 17 時 26 分 1 秒 (日本時間)

29×10259-119

c201

composite cofactor 合成数の残り
196299357794988533540691214168698941451933982276958378009015267498504278584525720914955946920741670653926621233075311530093670835630135097219357181501134089785853792263319678525044776032039476917680193<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:26:06 UTC 2016 年 9 月 28 日 (水) 17 時 26 分 6 秒 (日本時間)

29×10260-119

c238

composite cofactor 合成数の残り
4482403705163501535378774451435348164503826223298914590655152136773704666130871833499341655092215020681250975450533064513629865285925318659834134594616396851349903647707809289268576546729486353098497781455413916791050376586753732131265043<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:26:25 UTC 2016 年 9 月 28 日 (水) 17 時 26 分 25 秒 (日本時間)

29×10261-119

c238

composite cofactor 合成数の残り
1365368220807125742125278515170508170405681532925639854199162876539223970610047186916259803254283718677357904036224979775810509946584749032966716797058086431406451875884009173486470784520524575166694996049623364681312393286746406579562803<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:26:30 UTC 2016 年 9 月 28 日 (水) 17 時 26 分 30 秒 (日本時間)

29×10262-119

c257

composite cofactor 合成数の残り
97049916788062726373114094224760244873672800556062557707051814281263375737453872007223191048115675469094119343955948708115012852420876708789677101540650696266221977254846053732857721810094730758431713503291163471214492698332381240184153890379776403684818013<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:26:52 UTC 2016 年 9 月 28 日 (水) 17 時 26 分 52 秒 (日本時間)

29×10263-119

c216

composite cofactor 合成数の残り
310399113742544997931404030170638721526008458788149789207494348916659654914051336243275333589019004363042697004633949689730136170816022176608981658792888805578861427730294696897953638689709738083467725667280402494689<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:27:01 UTC 2016 年 9 月 28 日 (水) 17 時 27 分 1 秒 (日本時間)

29×10264-119

c244

composite cofactor 合成数の残り
1213820722862211289491990033195639686658671984601762141471542928342337349824339980944580803324447167411804664340429607144806541296032363949283370880763774905848723965981553257505042210048146195530362123683441589091566875250814161290743871239767<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:28:18 UTC 2016 年 9 月 28 日 (水) 17 時 28 分 18 秒 (日本時間)

29×10265-119

c237

composite cofactor 合成数の残り
380608915406070824430489716763534088112542860874066781355749540323133682037760065421266757994306785464309397812610223578689411922798995083631121615964176535029486133316088093770296028271698698329488113101075718076449020438683697130775349<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:28:26 UTC 2016 年 9 月 28 日 (水) 17 時 28 分 26 秒 (日本時間)

29×10266-119

c239

composite cofactor 合成数の残り
59354401707352630480430862491109475117683021634505172109260183791186583691750252034941733052960783165433238316400740825996644477039980879134681929235590790724516448173518988491970829085717881417563921007511072227580026762206053001280256551<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:28:49 UTC 2016 年 9 月 28 日 (水) 17 時 28 分 49 秒 (日本時間)

29×10267-119

c247

name 名前Erik Branger
date 日付September 28, 2016 08:29:23 UTC 2016 年 9 月 28 日 (水) 17 時 29 分 23 秒 (日本時間)
composite number 合成数
9282266507168796536447123335289232805237016491095871499676863129747852856742071995115735021487325805957595507838634127462728374226378749936491006385626731457288832818649665333984120665571503655817825528459946712766495753981063906734217285156891081<247>
prime factors 素因数
15364799594458002963010757058041786329<38>
604125452473643587517135062753858898185116851931688427086272334356708257815198893993827904856069368360361802451286338173038352425817255320214820939178208277362531495742504688508400807597174649240219138487698289<210>
factorization results 素因数分解の結果
Tue 2016/09/27 18:13:11 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Tue 2016/09/27 18:13:11 UTC Input number is 9282266507168796536447123335289232805237016491095871499676863129747852856742071995115735021487325805957595507838634127462728374226378749936491006385626731457288832818649665333984120665571503655817825528459946712766495753981063906734217285156891081 (247 digits)
Tue 2016/09/27 18:13:11 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1382396922
Tue 2016/09/27 18:13:11 UTC Step 1 took 12714ms
Tue 2016/09/27 18:13:11 UTC Step 2 took 5429ms
Tue 2016/09/27 18:13:11 UTC ********** Factor found in step 2: 15364799594458002963010757058041786329
Tue 2016/09/27 18:13:11 UTC Found prime factor of 38 digits: 15364799594458002963010757058041786329
Tue 2016/09/27 18:13:11 UTC Prime cofactor 604125452473643587517135062753858898185116851931688427086272334356708257815198893993827904856069368360361802451286338173038352425817255320214820939178208277362531495742504688508400807597174649240219138487698289 has 210 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)

29×10269-119

c231

composite cofactor 合成数の残り
466167548035547106517671845649523307007895646331185429755412101404762081502357365300880408901162343318658767889020918526668648562687632275293226340124508976610427642901395595831142808176125990162703515391546065968808612480671118589<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:29:50 UTC 2016 年 9 月 28 日 (水) 17 時 29 分 50 秒 (日本時間)

29×10270-119

c235

composite cofactor 合成数の残り
2284578408549567310568936965625011264015425573000202937608883910549962898668253691912058484886615216898961510217754697466595940606255988411384237945698761932755669829655624603946142421307619260090809145290720509391978921054633771016013<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:29:54 UTC 2016 年 9 月 28 日 (水) 17 時 29 分 54 秒 (日本時間)

29×10272-119

c219

composite cofactor 合成数の残り
729290641626963994598941448300505619620914863826751442773549660695497224595192695016525069068819709403022988941497727260059195238363604745760353618059304121994274333737796157038956802663408570856569760238896492520080159<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:30:15 UTC 2016 年 9 月 28 日 (水) 17 時 30 分 15 秒 (日本時間)

29×10273-119

c251

composite cofactor 合成数の残り
57408410347574982602039561097977283390675690199830012372376286073099128924259965403378458343961726733179076413010975267727616328641806383245944965178302825240530568294255603711122487291732420787103750268913465919790946649154271082465037725206190414147<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:30:22 UTC 2016 年 9 月 28 日 (水) 17 時 30 分 22 秒 (日本時間)

29×10276-119

c254

composite cofactor 合成数の残り
67236080187757026688292439303174825563210106199099796973123317079672286749923197986753794641085148645132527622383977066994430423934833115569433654789702962068134870465715704839333009469779961293632191875421128610191281803685266708994462334332843854910921<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 28, 2016 08:30:42 UTC 2016 年 9 月 28 日 (水) 17 時 30 分 42 秒 (日本時間)

29×10277-119

c230

composite cofactor 合成数の残り
22709124002438520814677153729790164222585841579213336513623395781658601625005555907922139565158082683104872050600885619421564541805185009096142763426544119004939752210728039918108715196753764004092534455470711003842803879907523827<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:47:32 UTC 2016 年 9 月 30 日 (金) 15 時 47 分 32 秒 (日本時間)

29×10278-119

c243

composite cofactor 合成数の残り
255537370545302895797091336617987230264485458116512297136014673172418786398767513932013371109173420038034855645728470937068689780619482379351052309200123024132790480433322690464400128618908435666656869509231057566585805419238044618467193139251<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:47:40 UTC 2016 年 9 月 30 日 (金) 15 時 47 分 40 秒 (日本時間)

29×10279-119

c257

composite cofactor 合成数の残り
95159850634721748044943914943517495441666502824558287073408558786471273658613758646734268439991414878361642633202166661571809012382681393465796391611887528252985022691560475516377690969534418732063689571558682775933567726902556583547324073112830249194625923<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:47:50 UTC 2016 年 9 月 30 日 (金) 15 時 47 分 50 秒 (日本時間)

29×10280-119

c248

composite cofactor 合成数の残り
79857379562731029296623817076679645220522589396696909231912806830558992123274296279792348282986107789982296337117414958768031721667655733929687857692271819907099894346404539132760163259257416400393631732386824260688216488967888723914936276954379693<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:48:01 UTC 2016 年 9 月 30 日 (金) 15 時 48 分 1 秒 (日本時間)

29×10282-119

c256

composite cofactor 合成数の残り
2219204139722507948554208469481081112828658944491437125814578080632446765503183103208961443856347280985450129561752965164140408642849793943838586831719227972421426363089097113191594858297328967757647935175183818145052632367846265715000526646746952111049951<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:48:19 UTC 2016 年 9 月 30 日 (金) 15 時 48 分 19 秒 (日本時間)

29×10284-119

c241

composite cofactor 合成数の残り
2136982800919245056458089198614515556265277504169859180908141242703185977317418822010992191263686870986861233929128292935402809788643457282896667103349217180106277375050202756230784772684312371014905917941314550462492787587824616155283574039<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:48:23 UTC 2016 年 9 月 30 日 (金) 15 時 48 分 23 秒 (日本時間)

29×10285-119

c218

composite cofactor 合成数の残り
14536142321277563461734708876573580829036574777738898295848796307047700721635506032515965351071684837752108906060525493348106931785897148197337938217357930179327639670002680338655037599802817161606400727642047125421647<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:48:43 UTC 2016 年 9 月 30 日 (金) 15 時 48 分 43 秒 (日本時間)

29×10286-119

c246

composite cofactor 合成数の残り
133582792011734051473019497198834910480960344547606139657290842328914794247011618150205619017100380423868500182008401908675805113582042941894858469181860256913758856155605820851250469158425762400478614055025085305109618491552947028868026053658203<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:48:47 UTC 2016 年 9 月 30 日 (金) 15 時 48 分 47 秒 (日本時間)

29×10287-119

c268

composite cofactor 合成数の残り
5509258475277766636303480513953150106477052773934606314885667270085932526439004918980259150067404747492130134412025267532088214180166799031862813834356598213174742495832962679261502641119261064557643208054972698544567459503676631070073270692139686842286223947304355667<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:49:19 UTC 2016 年 9 月 30 日 (金) 15 時 49 分 19 秒 (日本時間)

29×10288-119

c277

composite cofactor 合成数の残り
4975781194254268224156041053903133488387274491356241424380559043104328226775437371769777973461167598602493779697475148545507516677051295630944338456732138563063899080572985242668317650827695440269115714378599727974490719688483675378852079148089953068349673688250295626153851751<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:49:25 UTC 2016 年 9 月 30 日 (金) 15 時 49 分 25 秒 (日本時間)

29×10290-119

c262

composite cofactor 合成数の残り
4584224131640156192732979345520466115170414322152586224058774585820674767504566851558327083378621536375735248897543380845551466897957701906299782883354319524910789315640639034219334463637963488199411852472922351193752107745457261078262953192033217074270961322523<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:49:43 UTC 2016 年 9 月 30 日 (金) 15 時 49 分 43 秒 (日本時間)

29×10291-119

c279

composite cofactor 合成数の残り
369121043925884468512339268713879073578135015545098171304098390361318737136680193275025621987285533509283975710172053664059514822512537237343392395227787612500466385129988585099291309092351643116524946242934495553391589511781573353340848607221132542965537121063580316594417264493<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)

29×10292-119

c282

composite cofactor 合成数の残り
949243577254369714349866772175092897092832152846673841836579213273986918559713419006147840219866523853071284961154986133355537394916136502588095816682602195836328353158351416719463996225448185950814658073480797370739363922297844815872669543787989359351903600140964728134908201360019<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 30, 2016 06:49:48 UTC 2016 年 9 月 30 日 (金) 15 時 49 分 48 秒 (日本時間)

29×10293-119

c287

composite cofactor 合成数の残り
35501569665176984077754117817884023447733958680016872794289006942625754119140011445461221641575687467391349190513407663581837343094844928470396875352605568538724420522262611990772676851038682277710685932070880377350835900984359367258706756899904511795329190691894865553658180285760458741<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerOctober 7, 2016 07:06:23 UTC 2016 年 10 月 7 日 (金) 16 時 6 分 23 秒 (日本時間)

29×10296-119

c270

composite cofactor 合成数の残り
652567384507347734181405295491328680282893554647384485893936603956246513245512861473707361173632921219457151908379481486851972756977360345596511809989488494439667547763373927864408798888193570684097422150854830011137566429707511470865361494039086485873201641503230244499<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerOctober 7, 2016 07:06:29 UTC 2016 年 10 月 7 日 (金) 16 時 6 分 29 秒 (日本時間)

29×10297-119

c293

composite cofactor 合成数の残り
54300099799838597634388065961514336162555774628371989387139114983269952009946280349542849332202393323709108748120561200893517504292516510038965002649470386785228125953762528811820195517807624108495344234546472459551106692206437744935579485047812174082375123813589629804388571514167645004671681<293>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerOctober 7, 2016 07:06:35 UTC 2016 年 10 月 7 日 (金) 16 時 6 分 35 秒 (日本時間)

29×10298-119

c229

name 名前Serge Batalov
date 日付July 30, 2016 22:32:22 UTC 2016 年 7 月 31 日 (日) 7 時 32 分 22 秒 (日本時間)
composite number 合成数
1119399345950632321140375915042031081800679188492023429102997776283667385086236097600122854238962274185731744504674806466852185055230496268630161796670802022917072749129483671152245798256782672311860295486343753692009607375130143<229>
prime factors 素因数
69710122441122444694530733182675455880427<41>
16057916795313093953421849410502556971541410355274844247496214851348048173854519423425560127228087648890267043828649733663568464700141733861092039059212611172508756428737405355298005386909<188>
factorization results 素因数分解の結果
Using B1=11000000, B2=11000000-58553269330, polynomial Dickson(12), sigma=2857925965
Step 1 took 52429ms
Step 2 took 22082ms
********** Factor found in step 2: 69710122441122444694530733182675455880427
Found probable prime factor of 41 digits: 69710122441122444694530733182675455880427
Probable prime cofactor has 188 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 5.1.3, --enable-asm-redc] [ECM]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)

29×10300-119

c299

composite cofactor 合成数の残り
19768234492160872528970688479890933878663940013633265167007498295841854124062713019768234492160872528970688479890933878663940013633265167007498295841854124062713019768234492160872528970688479890933878663940013633265167007498295841854124062713019768234492160872528970688479890933878663940013633265167<299>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovJuly 28, 2016 14:30:11 UTC 2016 年 7 月 28 日 (木) 23 時 30 分 11 秒 (日本時間)
4511e62000Dmitry DomanovJuly 29, 2016 21:41:58 UTC 2016 年 7 月 30 日 (土) 6 時 41 分 58 秒 (日本時間)
5043e6750 / 7054Dmitry DomanovAugust 5, 2016 16:32:26 UTC 2016 年 8 月 6 日 (土) 1 時 32 分 26 秒 (日本時間)