Table of contents 目次

61×10108+119

c90

name 名前Serge Batalov
date 日付October 20, 2009 04:46:06 UTC 2009 年 10 月 20 日 (火) 13 時 46 分 6 秒 (日本時間)
composite number 合成数
173574942812692267696268634691952789207197670714827952015840958361261434356164727580001189<90>
prime factors 素因数
91108247087160828584254860711097<32>
1905150723036496927643831385952647134842981729524119029837<58>
factorization results 素因数分解の結果
SNFS difficulty: 111 digits.
Divisors found:
 r1=91108247087160828584254860711097 (pp32)
 r2=1905150723036496927643831385952647134842981729524119029837 (pp58)
Version: Msieve v. 1.43 SVN74
Total time: 0.57 hours.
Scaled time: 1.37 units (timescale=2.400).
Factorization parameters were as follows:
n: 173574942812692267696268634691952789207197670714827952015840958361261434356164727580001189
m: 10000000000000000000000
deg: 5
c5: 61
c0: 1100
skew: 3
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [318750, 518751)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 53594 x 53821
Total sieving time: 0.54 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.57 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 16, 2009 10:00:00 UTC 2009 年 10 月 16 日 (金) 19 時 0 分 0 秒 (日本時間)

61×10109+119

c110

name 名前Dmitry Domanov
date 日付October 19, 2009 20:02:58 UTC 2009 年 10 月 20 日 (火) 5 時 2 分 58 秒 (日本時間)
composite number 合成数
22592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<110>
prime factors 素因数
4047537538542415495109532620351832243679<40>
5581811750343532307079939582977515751345075804424834298521615160645967<70>
factorization results 素因数分解の結果
Number: s110-1
N=22592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
  ( 110 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=4047537538542415495109532620351832243679 (pp40)
 r2=5581811750343532307079939582977515751345075804424834298521615160645967 (pp70)
Version: Msieve-1.40
Total time: 0.84 hours.
Scaled time: 1.66 units (timescale=1.963).
Factorization parameters were as follows:
n: 22592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
m: 10000000000000000000000
deg: 5
c5: 61
c0: 110
skew: 1.13
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 455001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51096 x 51323
Total sieving time: 0.82 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.84 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 16, 2009 10:00:00 UTC 2009 年 10 月 16 日 (金) 19 時 0 分 0 秒 (日本時間)

61×10110+119

c86

name 名前Robert Backstrom
date 日付October 20, 2009 03:10:48 UTC 2009 年 10 月 20 日 (火) 12 時 10 分 48 秒 (日本時間)
composite number 合成数
49255027171333839197078297400522298323494816812153624247751143235697657745838653820199<86>
prime factors 素因数
351440429148987573975248485100660149<36>
140151852450797442864198764926068611764798232457451<51>
factorization results 素因数分解の結果
Tue Oct 20 01:11:15 2009  
Tue Oct 20 01:11:15 2009  
Tue Oct 20 01:11:15 2009  Msieve v. 1.42
Tue Oct 20 01:11:15 2009  random seeds: ddb16310 877aabd1
Tue Oct 20 01:11:15 2009  factoring 49255027171333839197078297400522298323494816812153624247751143235697657745838653820199 (86 digits)
Tue Oct 20 01:11:16 2009  searching for 15-digit factors
Tue Oct 20 01:11:17 2009  commencing quadratic sieve (86-digit input)
Tue Oct 20 01:11:17 2009  using multiplier of 55
Tue Oct 20 01:11:17 2009  using 64kb Opteron sieve core
Tue Oct 20 01:11:17 2009  sieve interval: 8 blocks of size 65536
Tue Oct 20 01:11:17 2009  processing polynomials in batches of 13
Tue Oct 20 01:11:17 2009  using a sieve bound of 1451959 (55667 primes)
Tue Oct 20 01:11:17 2009  using large prime bound of 116156720 (26 bits)
Tue Oct 20 01:11:17 2009  using double large prime bound of 328912039956560 (41-49 bits)
Tue Oct 20 01:11:17 2009  using trial factoring cutoff of 49 bits
Tue Oct 20 01:11:17 2009  polynomial 'A' values have 11 factors
Tue Oct 20 01:51:49 2009  55822 relations (16352 full + 39470 combined from 572353 partial), need 55763
Tue Oct 20 01:51:49 2009  begin with 588705 relations
Tue Oct 20 01:51:50 2009  reduce to 130643 relations in 10 passes
Tue Oct 20 01:51:50 2009  attempting to read 130643 relations
Tue Oct 20 01:51:51 2009  recovered 130643 relations
Tue Oct 20 01:51:51 2009  recovered 107436 polynomials
Tue Oct 20 01:51:52 2009  attempting to build 55822 cycles
Tue Oct 20 01:51:52 2009  found 55822 cycles in 5 passes
Tue Oct 20 01:51:52 2009  distribution of cycle lengths:
Tue Oct 20 01:51:52 2009     length 1 : 16352
Tue Oct 20 01:51:52 2009     length 2 : 11285
Tue Oct 20 01:51:52 2009     length 3 : 9947
Tue Oct 20 01:51:52 2009     length 4 : 7242
Tue Oct 20 01:51:52 2009     length 5 : 4665
Tue Oct 20 01:51:52 2009     length 6 : 2879
Tue Oct 20 01:51:52 2009     length 7 : 1643
Tue Oct 20 01:51:52 2009     length 9+: 1809
Tue Oct 20 01:51:52 2009  largest cycle: 17 relations
Tue Oct 20 01:51:52 2009  matrix is 55667 x 55822 (12.7 MB) with weight 3109913 (55.71/col)
Tue Oct 20 01:51:52 2009  sparse part has weight 3109913 (55.71/col)
Tue Oct 20 01:51:54 2009  filtering completed in 3 passes
Tue Oct 20 01:51:54 2009  matrix is 50493 x 50557 (11.7 MB) with weight 2853258 (56.44/col)
Tue Oct 20 01:51:54 2009  sparse part has weight 2853258 (56.44/col)
Tue Oct 20 01:51:54 2009  saving the first 48 matrix rows for later
Tue Oct 20 01:51:54 2009  matrix is 50445 x 50557 (7.5 MB) with weight 2226765 (44.04/col)
Tue Oct 20 01:51:54 2009  sparse part has weight 1663865 (32.91/col)
Tue Oct 20 01:51:54 2009  matrix includes 64 packed rows
Tue Oct 20 01:51:54 2009  using block size 20222 for processor cache size 1024 kB
Tue Oct 20 01:51:54 2009  commencing Lanczos iteration
Tue Oct 20 01:51:54 2009  memory use: 7.7 MB
Tue Oct 20 01:52:17 2009  lanczos halted after 799 iterations (dim = 50445)
Tue Oct 20 01:52:17 2009  recovered 19 nontrivial dependencies
Tue Oct 20 01:52:18 2009  prp36 factor: 351440429148987573975248485100660149
Tue Oct 20 01:52:18 2009  prp51 factor: 140151852450797442864198764926068611764798232457451
Tue Oct 20 01:52:18 2009  elapsed time 00:41:03

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 16, 2009 10:00:00 UTC 2009 年 10 月 16 日 (金) 19 時 0 分 0 秒 (日本時間)

61×10114+119

c87

name 名前Sinkiti Sibata
date 日付October 19, 2009 10:22:18 UTC 2009 年 10 月 19 日 (月) 19 時 22 分 18 秒 (日本時間)
composite number 合成数
144039228007611282703869034498185993003990944521551709780755994380929317069531438992359<87>
prime factors 素因数
41036055173181597710179425086539396815889<41>
3510065170731752561733587750619799871556698231<46>
factorization results 素因数分解の結果
Mon Oct 19 18:17:44 2009  Msieve v. 1.42
Mon Oct 19 18:17:44 2009  random seeds: d73481a6 1eb8ed9a
Mon Oct 19 18:17:44 2009  factoring 144039228007611282703869034498185993003990944521551709780755994380929317069531438992359 (87 digits)
Mon Oct 19 18:17:44 2009  searching for 15-digit factors
Mon Oct 19 18:17:45 2009  commencing quadratic sieve (87-digit input)
Mon Oct 19 18:17:45 2009  using multiplier of 35
Mon Oct 19 18:17:45 2009  using 64kb Opteron sieve core
Mon Oct 19 18:17:45 2009  sieve interval: 10 blocks of size 65536
Mon Oct 19 18:17:45 2009  processing polynomials in batches of 11
Mon Oct 19 18:17:45 2009  using a sieve bound of 1471661 (56333 primes)
Mon Oct 19 18:17:45 2009  using large prime bound of 117732880 (26 bits)
Mon Oct 19 18:17:45 2009  using double large prime bound of 336989177081600 (41-49 bits)
Mon Oct 19 18:17:45 2009  using trial factoring cutoff of 49 bits
Mon Oct 19 18:17:45 2009  polynomial 'A' values have 11 factors
Mon Oct 19 18:52:29 2009  56701 relations (15919 full + 40782 combined from 592248 partial), need 56429
Mon Oct 19 18:52:29 2009  begin with 608167 relations
Mon Oct 19 18:52:29 2009  reduce to 135179 relations in 9 passes
Mon Oct 19 18:52:29 2009  attempting to read 135179 relations
Mon Oct 19 18:52:30 2009  recovered 135179 relations
Mon Oct 19 18:52:30 2009  recovered 114408 polynomials
Mon Oct 19 18:52:30 2009  attempting to build 56701 cycles
Mon Oct 19 18:52:30 2009  found 56701 cycles in 6 passes
Mon Oct 19 18:52:30 2009  distribution of cycle lengths:
Mon Oct 19 18:52:30 2009     length 1 : 15919
Mon Oct 19 18:52:30 2009     length 2 : 11227
Mon Oct 19 18:52:30 2009     length 3 : 9893
Mon Oct 19 18:52:30 2009     length 4 : 7490
Mon Oct 19 18:52:30 2009     length 5 : 5026
Mon Oct 19 18:52:30 2009     length 6 : 3180
Mon Oct 19 18:52:30 2009     length 7 : 1836
Mon Oct 19 18:52:30 2009     length 9+: 2130
Mon Oct 19 18:52:30 2009  largest cycle: 22 relations
Mon Oct 19 18:52:30 2009  matrix is 56333 x 56701 (14.3 MB) with weight 3283269 (57.90/col)
Mon Oct 19 18:52:30 2009  sparse part has weight 3283269 (57.90/col)
Mon Oct 19 18:52:31 2009  filtering completed in 3 passes
Mon Oct 19 18:52:31 2009  matrix is 51687 x 51748 (13.1 MB) with weight 3019515 (58.35/col)
Mon Oct 19 18:52:31 2009  sparse part has weight 3019515 (58.35/col)
Mon Oct 19 18:52:31 2009  saving the first 48 matrix rows for later
Mon Oct 19 18:52:31 2009  matrix is 51639 x 51748 (9.3 MB) with weight 2437777 (47.11/col)
Mon Oct 19 18:52:31 2009  sparse part has weight 1912064 (36.95/col)
Mon Oct 19 18:52:31 2009  matrix includes 64 packed rows
Mon Oct 19 18:52:31 2009  using block size 20699 for processor cache size 512 kB
Mon Oct 19 18:52:31 2009  commencing Lanczos iteration
Mon Oct 19 18:52:31 2009  memory use: 8.3 MB
Mon Oct 19 18:52:46 2009  lanczos halted after 819 iterations (dim = 51638)
Mon Oct 19 18:52:46 2009  recovered 18 nontrivial dependencies
Mon Oct 19 18:52:48 2009  prp41 factor: 41036055173181597710179425086539396815889
Mon Oct 19 18:52:48 2009  prp46 factor: 3510065170731752561733587750619799871556698231
Mon Oct 19 18:52:48 2009  elapsed time 00:35:04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 16, 2009 10:00:00 UTC 2009 年 10 月 16 日 (金) 19 時 0 分 0 秒 (日本時間)

61×10115+119

c112

name 名前Jo Yeong Uk
date 日付October 19, 2009 12:52:42 UTC 2009 年 10 月 19 日 (月) 21 時 52 分 42 秒 (日本時間)
composite number 合成数
1932807989784634493334980972931182529950602497441405816801487945298365351406672306663751611993548857266882760937<112>
prime factors 素因数
16395185245811434412457687799934663376577264400981837<53>
117888755802769552667826097972841639069866714575824487244301<60>
factorization results 素因数分解の結果
Number: 67779_115
N=1932807989784634493334980972931182529950602497441405816801487945298365351406672306663751611993548857266882760937
  ( 112 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=16395185245811434412457687799934663376577264400981837
 r2=117888755802769552667826097972841639069866714575824487244301
Version: 
Total time: 0.49 hours.
Scaled time: 1.17 units (timescale=2.389).
Factorization parameters were as follows:
n: 1932807989784634493334980972931182529950602497441405816801487945298365351406672306663751611993548857266882760937
m: 100000000000000000000000
deg: 5
c5: 61
c0: 11
skew: 0.71
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [200000, 375001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 1158405
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 48565 x 48792
Total sieving time: 0.44 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,400000,400000,25,25,45,45,2.2,2.2,25000
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: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
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
3025e40--
351e6118 / 904Makoto KamadaOctober 16, 2009 10:00:00 UTC 2009 年 10 月 16 日 (金) 19 時 0 分 0 秒 (日本時間)

61×10118+119

c101

name 名前Lionel Debroux
date 日付October 19, 2009 16:08:12 UTC 2009 年 10 月 20 日 (火) 1 時 8 分 12 秒 (日本時間)
composite number 合成数
21808297304636506227519999537204668039161178741858088267345270253166028218516910475914708785524142707<101>
prime factors 素因数
17632003377816731628383189280973540932700525483<47>
1236858729965652988254596588296867185555187756209443929<55>
factorization results 素因数分解の結果
Number: 67779_118
N=21808297304636506227519999537204668039161178741858088267345270253166028218516910475914708785524142707
  ( 101 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=17632003377816731628383189280973540932700525483 (pp47)
 r2=1236858729965652988254596588296867185555187756209443929 (pp55)
Version: Msieve v. 1.44
Total time: 5.80 hours.
Scaled time: 8.46 units (timescale=1.459).
Factorization parameters were as follows:
n: 21808297304636506227519999537204668039161178741858088267345270253166028218516910475914708785524142707
m: 500000000000000000000000
deg: 5
c5: 488
c0: 275
skew: 0.89
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 1115001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 95495 x 95743
Total sieving time: 5.75 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 5.80 hours.
 --------- CPU info (if available) ----------
[    0.029439] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.101689] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2043420k/2096800k available (7091k kernel code, 452k absent, 52268k reserved, 3271k data, 540k init)
[    0.000999] Calibrating delay loop (skipped), value calculated using timer frequency.. 3990.57 BogoMIPS (lpj=1995288)
[    0.000999] Calibrating delay using timer specific routine.. 3989.82 BogoMIPS (lpj=1994913)
[    0.102027] Total of 2 processors activated (7980.40 BogoMIPS).
software ソフトウェア
GGNFS + Msieve
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 16, 2009 10:00:00 UTC 2009 年 10 月 16 日 (金) 19 時 0 分 0 秒 (日本時間)

61×10122+119

c121

name 名前Dmitry Domanov
date 日付October 19, 2009 16:40:31 UTC 2009 年 10 月 20 日 (火) 1 時 40 分 31 秒 (日本時間)
composite number 合成数
3338806787082649151614668856048166392993979200875752599890530925013683634373289545703338806787082649151614668856048166393<121>
prime factors 素因数
361533924210305081649450654391335109543178661701<48>
9235113397381922794432779026073798516430287706951852241880434020450688293<73>
factorization results 素因数分解の結果
Number: snfs121
N=3338806787082649151614668856048166392993979200875752599890530925013683634373289545703338806787082649151614668856048166393
  ( 121 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=361533924210305081649450654391335109543178661701 (pp48)
 r2=9235113397381922794432779026073798516430287706951852241880434020450688293 (pp73)
Version: Msieve-1.40
Total time: 1.57 hours.
Scaled time: 3.08 units (timescale=1.969).
Factorization parameters were as follows:
n: 3338806787082649151614668856048166392993979200875752599890530925013683634373289545703338806787082649151614668856048166393
m: 5000000000000000000000000
deg: 5
c5: 244
c0: 1375
skew: 1.41
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 125315 x 125540
Total sieving time: 1.44 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 1.57 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 16, 2009 10:00:00 UTC 2009 年 10 月 16 日 (金) 19 時 0 分 0 秒 (日本時間)

61×10124+119

c118

name 名前Jo Yeong Uk
date 日付October 19, 2009 15:09:37 UTC 2009 年 10 月 20 日 (火) 0 時 9 分 37 秒 (日本時間)
composite number 合成数
3507614810371069363249630546094627132811654407869164771534010658353366557805828460925725905628911569126252748223391661<118>
prime factors 素因数
135329388429488114701900710450078109693022954591<48>
25919091566712232464070995868800192058033785202911487150859363568422771<71>
factorization results 素因数分解の結果
Number: 67779_124
N=3507614810371069363249630546094627132811654407869164771534010658353366557805828460925725905628911569126252748223391661
  ( 118 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=135329388429488114701900710450078109693022954591
 r2=25919091566712232464070995868800192058033785202911487150859363568422771
Version: 
Total time: 1.25 hours.
Scaled time: 2.97 units (timescale=2.380).
Factorization parameters were as follows:
n: 3507614810371069363249630546094627132811654407869164771534010658353366557805828460925725905628911569126252748223391661
m: 10000000000000000000000000
deg: 5
c5: 61
c0: 110
skew: 1.13
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 760001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2621857
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 117578 x 117822
Total sieving time: 1.09 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,800000,800000,26,26,46,46,2.3,2.3,40000
total time: 1.25 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=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
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
3025e40--
351e6118 / 904Makoto KamadaOctober 16, 2009 10:00:00 UTC 2009 年 10 月 16 日 (金) 19 時 0 分 0 秒 (日本時間)

61×10126+119

c90

name 名前Erik Branger
date 日付October 25, 2009 17:51:08 UTC 2009 年 10 月 26 日 (月) 2 時 51 分 8 秒 (日本時間)
composite number 合成数
311996725136843158550452678007225947321786519109975065421192818805281768398691918983827719<90>
prime factors 素因数
2195586039900908690698168329609801270916603<43>
142101798548019649379224996185134551483183791973<48>
factorization results 素因数分解の結果
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, starting SIQS on c90: 311996725136843158550452678007225947321786519109975065421192818805281768398691918983827719
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, random seeds: 2974791847, 2559185332
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, ==== sieve params ====
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, n = 90 digits, 298 bits
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, factor base: 65244 primes (max prime = 1734011)
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, single large prime cutoff: 190741210 (110 * pmax)
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, double large prime range from 43 to 50 bits
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, double large prime cutoff: 803156465804099
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, using 3750192 large prime slices of factor base
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, buckets hold 1024 elements
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, sieve interval: 18 blocks of size 32768
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, polynomial A has ~ 112967 factors
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, using multiplier of 1
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, using small prime variation correction of 19 bits
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, trial factoring cutoff at 97 bits
10/25/09 17:45:35 v1.12 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
10/25/09 18:24:28 v1.12 @ ERIK-DATOR, sieve time = 658.7142, relation time = 356.6018, poly_time = 1203.0792
10/25/09 18:24:28 v1.12 @ ERIK-DATOR, 65578 relations found: 18773 full + 46805 from 764136 partial, using 103699520 polys (895 A polys)
10/25/09 18:24:28 v1.12 @ ERIK-DATOR, on average, sieving found 0.01 rels/poly and 335.54 rels/sec
10/25/09 18:24:28 v1.12 @ ERIK-DATOR, trial division touched 24098010 sieve locations out of 122328931368960
10/25/09 18:24:28 v1.12 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
10/25/09 18:24:28 v1.12 @ ERIK-DATOR, begin with 782909 relations
10/25/09 18:24:29 v1.12 @ ERIK-DATOR, reduce to 153559 relations in 9 passes
10/25/09 18:24:38 v1.12 @ ERIK-DATOR, recovered 153559 relations
10/25/09 18:24:38 v1.12 @ ERIK-DATOR, recovered 130881 polynomials
10/25/09 18:24:38 v1.12 @ ERIK-DATOR, attempting to build 65578 cycles
10/25/09 18:24:38 v1.12 @ ERIK-DATOR, found 65578 cycles in 5 passes
10/25/09 18:24:38 v1.12 @ ERIK-DATOR, distribution of cycle lengths:
10/25/09 18:24:38 v1.12 @ ERIK-DATOR,    length 1 : 18773
10/25/09 18:24:38 v1.12 @ ERIK-DATOR,    length 2 : 13847
10/25/09 18:24:38 v1.12 @ ERIK-DATOR,    length 3 : 12128
10/25/09 18:24:38 v1.12 @ ERIK-DATOR,    length 4 : 8263
10/25/09 18:24:38 v1.12 @ ERIK-DATOR,    length 5 : 5490
10/25/09 18:24:38 v1.12 @ ERIK-DATOR,    length 6 : 3283
10/25/09 18:24:38 v1.12 @ ERIK-DATOR,    length 7 : 1832
10/25/09 18:24:38 v1.12 @ ERIK-DATOR,    length 9+: 1962
10/25/09 18:24:38 v1.12 @ ERIK-DATOR, largest cycle: 17 relations
10/25/09 18:24:39 v1.12 @ ERIK-DATOR, matrix is 65244 x 65578 (15.3 MB) with weight 3744054 (57.09/col)
10/25/09 18:24:39 v1.12 @ ERIK-DATOR, sparse part has weight 3744054 (57.09/col)
10/25/09 18:24:39 v1.12 @ ERIK-DATOR, filtering completed in 4 passes
10/25/09 18:24:39 v1.12 @ ERIK-DATOR, matrix is 60363 x 60427 (14.2 MB) with weight 3485480 (57.68/col)
10/25/09 18:24:39 v1.12 @ ERIK-DATOR, sparse part has weight 3485480 (57.68/col)
10/25/09 18:24:39 v1.12 @ ERIK-DATOR, saving the first 48 matrix rows for later
10/25/09 18:24:39 v1.12 @ ERIK-DATOR, matrix is 60315 x 60427 (12.3 MB) with weight 3066599 (50.75/col)
10/25/09 18:24:39 v1.12 @ ERIK-DATOR, sparse part has weight 2853662 (47.22/col)
10/25/09 18:24:39 v1.12 @ ERIK-DATOR, matrix includes 64 packed rows
10/25/09 18:24:39 v1.12 @ ERIK-DATOR, using block size 24170 for processor cache size 2048 kB
10/25/09 18:24:40 v1.12 @ ERIK-DATOR, commencing Lanczos iteration
10/25/09 18:24:40 v1.12 @ ERIK-DATOR, memory use: 10.5 MB
10/25/09 18:25:48 v1.12 @ ERIK-DATOR, lanczos halted after 955 iterations (dim = 60312)
10/25/09 18:25:49 v1.12 @ ERIK-DATOR, recovered 16 nontrivial dependencies
10/25/09 18:25:49 v1.12 @ ERIK-DATOR, prp48 = 142101798548019649379224996185134551483183791973
10/25/09 18:25:50 v1.12 @ ERIK-DATOR, prp43 = 2195586039900908690698168329609801270916603
10/25/09 18:25:50 v1.12 @ ERIK-DATOR, Lanczos elapsed time = 80.6840 seconds.
10/25/09 18:25:50 v1.12 @ ERIK-DATOR, Sqrt elapsed time = 1.4040 seconds.
10/25/09 18:25:50 v1.12 @ ERIK-DATOR, SIQS elapsed time = 2415.3788 seconds.
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

61×10130+119

c90

name 名前Norbert Schneider
date 日付October 26, 2009 22:20:55 UTC 2009 年 10 月 27 日 (火) 7 時 20 分 55 秒 (日本時間)
composite number 合成数
800509370051351453037656179793997623801994692989397392614271301898208518060262904821995727<90>
prime factors 素因数
2603800835257585405318811667397972553087<40>
307438786873328469652390333446782493394750798060721<51>
factorization results 素因数分解の結果
Mon Oct 26 19:16:40 2009  
Mon Oct 26 19:16:40 2009  
Mon Oct 26 19:16:40 2009  Msieve v. 1.43
Mon Oct 26 19:16:40 2009  random seeds: a73f8f44 bd2ae005
Mon Oct 26 19:16:40 2009  factoring 800509370051351453037656179793997623801994692989397392614271301898208518060262904821995727 (90 digits)
Mon Oct 26 19:16:45 2009  searching for 15-digit factors
Mon Oct 26 19:16:46 2009  commencing quadratic sieve (90-digit input)
Mon Oct 26 19:16:48 2009  using multiplier of 13
Mon Oct 26 19:16:48 2009  using 64kb Pentium 4 sieve core
Mon Oct 26 19:16:48 2009  sieve interval: 18 blocks of size 65536
Mon Oct 26 19:16:48 2009  processing polynomials in batches of 6
Mon Oct 26 19:16:48 2009  using a sieve bound of 1618703 (61070 primes)
Mon Oct 26 19:16:49 2009  using large prime bound of 135971052 (27 bits)
Mon Oct 26 19:16:49 2009  using double large prime bound of 436720526960928 (42-49 bits)
Mon Oct 26 19:16:49 2009  using trial factoring cutoff of 49 bits
Mon Oct 26 19:16:49 2009  polynomial 'A' values have 12 factors
Mon Oct 26 22:15:13 2009  61446 relations (16348 full + 45098 combined from 666206 partial), need 61166
Mon Oct 26 22:15:15 2009  begin with 682554 relations
Mon Oct 26 22:15:16 2009  reduce to 150056 relations in 10 passes
Mon Oct 26 22:15:16 2009  attempting to read 150056 relations
Mon Oct 26 22:15:19 2009  recovered 150056 relations
Mon Oct 26 22:15:19 2009  recovered 129311 polynomials
Mon Oct 26 22:15:19 2009  attempting to build 61446 cycles
Mon Oct 26 22:15:19 2009  found 61446 cycles in 6 passes
Mon Oct 26 22:15:19 2009  distribution of cycle lengths:
Mon Oct 26 22:15:19 2009     length 1 : 16348
Mon Oct 26 22:15:19 2009     length 2 : 11864
Mon Oct 26 22:15:19 2009     length 3 : 10847
Mon Oct 26 22:15:19 2009     length 4 : 8262
Mon Oct 26 22:15:19 2009     length 5 : 5686
Mon Oct 26 22:15:19 2009     length 6 : 3736
Mon Oct 26 22:15:19 2009     length 7 : 2192
Mon Oct 26 22:15:19 2009     length 9+: 2511
Mon Oct 26 22:15:19 2009  largest cycle: 20 relations
Mon Oct 26 22:15:19 2009  matrix is 61070 x 61446 (15.3 MB) with weight 3754514 (61.10/col)
Mon Oct 26 22:15:19 2009  sparse part has weight 3754514 (61.10/col)
Mon Oct 26 22:15:21 2009  filtering completed in 3 passes
Mon Oct 26 22:15:21 2009  matrix is 57065 x 57129 (14.3 MB) with weight 3510750 (61.45/col)
Mon Oct 26 22:15:21 2009  sparse part has weight 3510750 (61.45/col)
Mon Oct 26 22:15:22 2009  saving the first 48 matrix rows for later
Mon Oct 26 22:15:22 2009  matrix is 57017 x 57129 (9.2 MB) with weight 2773047 (48.54/col)
Mon Oct 26 22:15:22 2009  sparse part has weight 2059967 (36.06/col)
Mon Oct 26 22:15:22 2009  matrix includes 64 packed rows
Mon Oct 26 22:15:22 2009  using block size 10922 for processor cache size 256 kB
Mon Oct 26 22:15:22 2009  commencing Lanczos iteration
Mon Oct 26 22:15:22 2009  memory use: 9.3 MB
Mon Oct 26 22:15:54 2009  lanczos halted after 904 iterations (dim = 57015)
Mon Oct 26 22:15:54 2009  recovered 17 nontrivial dependencies
Mon Oct 26 22:15:56 2009  prp40 factor: 2603800835257585405318811667397972553087
Mon Oct 26 22:15:56 2009  prp51 factor: 307438786873328469652390333446782493394750798060721
Mon Oct 26 22:15:56 2009  elapsed time 02:59:16
execution environment 実行環境
Intel Celeron 2.80 GHz, 512 MB RAM, WIndows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

61×10134+119

c120

name 名前Robert Backstrom
date 日付October 26, 2009 03:00:33 UTC 2009 年 10 月 26 日 (月) 12 時 0 分 33 秒 (日本時間)
composite number 合成数
686208757526421347401301256515966628463717052016141591646519249049878232120521785773458876968529245559700231093141322757<120>
prime factors 素因数
1605024511121898730823739355562491316477<40>
427537867971104787643044373647126483897763339452030506462774083723736087616393641<81>
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 686208757526421347401301256515966628463717052016141591646519249049878232120521785773458876968529245559700231093141322757 (120 digits)
Using B1=2118000, B2=2854078510, polynomial Dickson(6), sigma=3579718577
Step 1 took 18312ms
Step 2 took 7875ms
********** Factor found in step 2: 1605024511121898730823739355562491316477
Found probable prime factor of 40 digits: 1605024511121898730823739355562491316477
Probable prime cofactor 427537867971104787643044373647126483897763339452030506462774083723736087616393641 has 81 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

61×10136+119

c117

name 名前Sinkiti Sibata
date 日付October 26, 2009 03:18:51 UTC 2009 年 10 月 26 日 (月) 12 時 18 分 51 秒 (日本時間)
composite number 合成数
486638631870876768578237462710217409611440936923179732511602138246948855664505898321050283688239457736079891783878187<117>
prime factors 素因数
56099438243208509545785301147285196647<38>
8674572279336327283237021925543194621541044909983854234310679612701120002673821<79>
factorization results 素因数分解の結果
Number: 67779_136
N=486638631870876768578237462710217409611440936923179732511602138246948855664505898321050283688239457736079891783878187
  ( 117 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=56099438243208509545785301147285196647 (pp38)
 r2=8674572279336327283237021925543194621541044909983854234310679612701120002673821 (pp79)
Version: Msieve-1.40
Total time: 5.94 hours.
Scaled time: 12.39 units (timescale=2.085).
Factorization parameters were as follows:
name: 67779_136
n: 486638631870876768578237462710217409611440936923179732511602138246948855664505898321050283688239457736079891783878187
m: 2000000000000000000000000000
deg: 5
c5: 305
c0: 176
skew: 0.90
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1475001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247395 x 247643
Total sieving time: 5.59 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000
total time: 5.94 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

61×10137+119

c131

name 名前Sinkiti Sibata
date 日付October 26, 2009 11:39:11 UTC 2009 年 10 月 26 日 (月) 20 時 39 分 11 秒 (日本時間)
composite number 合成数
16193607973579656056314742426290034776728811601735754080216460010876635897192156067962194063024582472971587404251742208560338847371<131>
prime factors 素因数
1497100862179284466393211599484926776042967<43>
10816644611377158968597922580922419233088088735788862949569901953744310105884107215906413<89>
factorization results 素因数分解の結果
Number: 67779_137
N=16193607973579656056314742426290034776728811601735754080216460010876635897192156067962194063024582472971587404251742208560338847371
  ( 131 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=1497100862179284466393211599484926776042967 (pp43)
 r2=10816644611377158968597922580922419233088088735788862949569901953744310105884107215906413 (pp89)
Version: Msieve-1.40
Total time: 7.87 hours.
Scaled time: 16.35 units (timescale=2.078).
Factorization parameters were as follows:
name: 67779_137
n: 16193607973579656056314742426290034776728811601735754080216460010876635897192156067962194063024582472971587404251742208560338847371
m: 5000000000000000000000000000
deg: 5
c5: 244
c0: 1375
skew: 1.41
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, 1780001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 240232 x 240464
Total sieving time: 7.52 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 7.87 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

61×10140+119

c95

name 名前Sinkiti Sibata
date 日付October 26, 2009 07:51:28 UTC 2009 年 10 月 26 日 (月) 16 時 51 分 28 秒 (日本時間)
composite number 合成数
10101275445333886072937871136953074721594155330052969136352011175659007415845411001561163821491<95>
prime factors 素因数
34654709996381233356360236722003259611<38>
291483479342020082267398383224796794589186280350551363081<57>
factorization results 素因数分解の結果
Number: 67779_140
N=10101275445333886072937871136953074721594155330052969136352011175659007415845411001561163821491
  ( 95 digits)
Divisors found:
 r1=34654709996381233356360236722003259611 (pp38)
 r2=291483479342020082267398383224796794589186280350551363081 (pp57)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 10.42 hours.
Scaled time: 4.92 units (timescale=0.472).
Factorization parameters were as follows:
name: 67779_140
n:  10101275445333886072937871136953074721594155330052969136352011175659007415845411001561163821491
m:  7926501998682499714959
deg: 4
c4: 2558880
c3: 12052800
c2: -345390808657415679
c1: 764061773339347700034
c0: -2640085652055857279596
skew: 1635.250
type: gnfs
# adj. I(F,S) = 57.775
# E(F1,F2) = 3.595557e-05
# GGNFS version 0.77.1-20050930-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1256504580.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1440001)
Primes: RFBsize:92938, AFBsize:93122, largePrimes:1879615 encountered
Relations: rels:1950424, finalFF:223451
Max relations in full relation-set: 28
Initial matrix: 186133 x 223451 with sparse part having weight 18769959.
Pruned matrix : 169528 x 170522 with weight 12045876.
Polynomial selection time: 0.17 hours.
Total sieving time: 9.52 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 10.42 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4  2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

61×10142+119

c122

name 名前Sinkiti Sibata
date 日付October 27, 2009 05:18:22 UTC 2009 年 10 月 27 日 (火) 14 時 18 分 22 秒 (日本時間)
composite number 合成数
34027486433473648903006226725877484429114615245532918207296038291178904927843612374299078287204050202839724770542660357229<122>
prime factors 素因数
6333596761890210427769088539424107<34>
5372537550577884027041044748259697776204681547417165620095560642583786697767311429280647<88>
factorization results 素因数分解の結果
Number: 67779_142
N=34027486433473648903006226725877484429114615245532918207296038291178904927843612374299078287204050202839724770542660357229
  ( 122 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=6333596761890210427769088539424107 (pp34)
 r2=5372537550577884027041044748259697776204681547417165620095560642583786697767311429280647 (pp88)
Version: Msieve-1.40
Total time: 11.35 hours.
Scaled time: 23.67 units (timescale=2.085).
Factorization parameters were as follows:
name: 67779_142
n: 34027486433473648903006226725877484429114615245532918207296038291178904927843612374299078287204050202839724770542660357229
m: 50000000000000000000000000000
deg: 5
c5: 244
c0: 1375
skew: 1.41
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2345001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 315046 x 315276
Total sieving time: 10.88 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 11.35 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

61×10144+119

c143

name 名前Dmitry Domanov
date 日付October 27, 2009 17:56:55 UTC 2009 年 10 月 28 日 (水) 2 時 56 分 55 秒 (日本時間)
composite number 合成数
48760991207034372501998401278976818545163868904876099120703437250199840127897681854516386890487609912070343725019984012789768185451638689048761<143>
prime factors 素因数
35451613663413251648447982109961<32>
902835582445713727649667691606922077<36>
1523448755300188337671604898103869412215946977128520856830739463707719389413<76>
factorization results 素因数分解の結果
Number: s143
N=48760991207034372501998401278976818545163868904876099120703437250199840127897681854516386890487609912070343725019984012789768185451638689048761
  ( 143 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=35451613663413251648447982109961 (pp32)
 r2=902835582445713727649667691606922077 (pp36)
 r3=1523448755300188337671604898103869412215946977128520856830739463707719389413 (pp76)
Version: Msieve-1.40
Total time: 8.06 hours.
Scaled time: 15.04 units (timescale=1.866).
Factorization parameters were as follows:
n: 48760991207034372501998401278976818545163868904876099120703437250199840127897681854516386890487609912070343725019984012789768185451638689048761
m: 100000000000000000000000000000
deg: 5
c5: 61
c0: 110
skew: 1.13
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 325579 x 325804
Total sieving time: 7.78 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 8.06 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

61×10146+119

c111

name 名前juno1369
date 日付November 14, 2009 15:42:04 UTC 2009 年 11 月 15 日 (日) 0 時 42 分 4 秒 (日本時間)
composite number 合成数
239453398876711150609255320785377692625826392338235113766506874627069551944324667803564622358785358784768979731<111>
prime factors 素因数
47018556761287004919324019214769957965617<41>
5092742427046728561746607640479066938348493902951058681904891312864643<70>
factorization results 素因数分解の結果
Number: 67779_146
N=239453398876711150609255320785377692625826392338235113766506874627069551944324667803564622358785358784768979731
  (111 digits)
Divisors found:
 r1=47018556761287004919324019214769957965617 (pp41)
 r2=5092742427046728561746607640479066938348493902951058681904891312864643 (pp70)
Version: Msieve-1.40
Total time: 213.24 hours.
Scaled time: 369.96 units (timescale=1.735).
Factorization parameters were as follows:
name: 67779_146
n: 239453398876711150609255320785377692625826392338235113766506874627069551944324667803564622358785358784768979731
skew: 62268.21
# norm 6.79e+015
c5: 1740
c4: 571107120
c3: 191509397222949
c2: -1689229856928126946
c1: -167460861686685303277376
c0: 366141206224433326132512000
# alpha -5.54
Y1: 357727841273
Y0: -2677506553543671180733
# Murphy_E 7.08e-010
# M 4169860093312916150953838170334394543046091236561083577223534810475410377208532554651542786886462863183822802
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 2
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 466836 x 467084
Total sieving time: 211.86 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.07 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 213.24 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS + Msieve
execution environment 実行環境
AMD Turion 64, Windows Vista and Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6180118Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)
62juno1369November 7, 2009 20:27:22 UTC 2009 年 11 月 8 日 (日) 5 時 27 分 22 秒 (日本時間)
403e61565 / 2301shyguy7129November 8, 2009 04:52:02 UTC 2009 年 11 月 8 日 (日) 13 時 52 分 2 秒 (日本時間)

61×10148+119

c88

name 名前Erik Branger
date 日付October 25, 2009 16:44:46 UTC 2009 年 10 月 26 日 (月) 1 時 44 分 46 秒 (日本時間)
composite number 合成数
6929467801046341041659258046990532322098586303429838696777373698294583310076464533399057<88>
prime factors 素因数
15778348857742482280322540725154142893917<41>
439175725135905508379395921376984663405910180421<48>
factorization results 素因数分解の結果
10/25/09 17:09:43 v1.12 @ ERIK-DATOR, starting SIQS on c88: 6929467801046341041659258046990532322098586303429838696777373698294583310076464533399057
10/25/09 17:09:43 v1.12 @ ERIK-DATOR, random seeds: 2974791847, 2559185332
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, ==== sieve params ====
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, n = 88 digits, 292 bits
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, factor base: 61677 primes (max prime = 1631843)
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, single large prime cutoff: 179502730 (110 * pmax)
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, double large prime range from 43 to 50 bits
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, double large prime cutoff: 719992387123441
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, using 3224628 large prime slices of factor base
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, buckets hold 1024 elements
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, sieve interval: 18 blocks of size 32768
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, polynomial A has ~ 24220 factors
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, using multiplier of 1
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, using small prime variation correction of 18 bits
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, trial factoring cutoff at 99 bits
10/25/09 17:09:44 v1.12 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
10/25/09 17:41:01 v1.12 @ ERIK-DATOR, sieve time = 533.6376, relation time = 233.5958, poly_time = 958.4928
10/25/09 17:41:01 v1.12 @ ERIK-DATOR, 62052 relations found: 18755 full + 43297 from 625600 partial, using 72681032 polys (751 A polys)
10/25/09 17:41:01 v1.12 @ ERIK-DATOR, on average, sieving found 0.01 rels/poly and 343.14 rels/sec
10/25/09 17:41:01 v1.12 @ ERIK-DATOR, trial division touched 13403412 sieve locations out of 85738034036736
10/25/09 17:41:01 v1.12 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
10/25/09 17:41:04 v1.12 @ ERIK-DATOR, begin with 644355 relations
10/25/09 17:41:04 v1.12 @ ERIK-DATOR, reduce to 134988 relations in 10 passes
10/25/09 17:41:14 v1.12 @ ERIK-DATOR, recovered 134988 relations
10/25/09 17:41:14 v1.12 @ ERIK-DATOR, recovered 113960 polynomials
10/25/09 17:41:14 v1.12 @ ERIK-DATOR, attempting to build 62052 cycles
10/25/09 17:41:14 v1.12 @ ERIK-DATOR, found 62052 cycles in 5 passes
10/25/09 17:41:14 v1.12 @ ERIK-DATOR, distribution of cycle lengths:
10/25/09 17:41:14 v1.12 @ ERIK-DATOR,    length 1 : 18755
10/25/09 17:41:14 v1.12 @ ERIK-DATOR,    length 2 : 15491
10/25/09 17:41:14 v1.12 @ ERIK-DATOR,    length 3 : 11875
10/25/09 17:41:14 v1.12 @ ERIK-DATOR,    length 4 : 7479
10/25/09 17:41:14 v1.12 @ ERIK-DATOR,    length 5 : 4105
10/25/09 17:41:14 v1.12 @ ERIK-DATOR,    length 6 : 2226
10/25/09 17:41:14 v1.12 @ ERIK-DATOR,    length 7 : 1131
10/25/09 17:41:14 v1.12 @ ERIK-DATOR,    length 9+: 990
10/25/09 17:41:14 v1.12 @ ERIK-DATOR, largest cycle: 16 relations
10/25/09 17:41:15 v1.12 @ ERIK-DATOR, matrix is 61677 x 62052 (13.1 MB) with weight 3173720 (51.15/col)
10/25/09 17:41:15 v1.12 @ ERIK-DATOR, sparse part has weight 3173720 (51.15/col)
10/25/09 17:41:15 v1.12 @ ERIK-DATOR, filtering completed in 4 passes
10/25/09 17:41:15 v1.12 @ ERIK-DATOR, matrix is 55966 x 56030 (11.9 MB) with weight 2905052 (51.85/col)
10/25/09 17:41:15 v1.12 @ ERIK-DATOR, sparse part has weight 2905052 (51.85/col)
10/25/09 17:41:16 v1.12 @ ERIK-DATOR, saving the first 48 matrix rows for later
10/25/09 17:41:16 v1.12 @ ERIK-DATOR, matrix is 55918 x 56030 (10.4 MB) with weight 2572396 (45.91/col)
10/25/09 17:41:16 v1.12 @ ERIK-DATOR, sparse part has weight 2378132 (42.44/col)
10/25/09 17:41:16 v1.12 @ ERIK-DATOR, matrix includes 64 packed rows
10/25/09 17:41:16 v1.12 @ ERIK-DATOR, using block size 22412 for processor cache size 2048 kB
10/25/09 17:41:16 v1.12 @ ERIK-DATOR, commencing Lanczos iteration
10/25/09 17:41:16 v1.12 @ ERIK-DATOR, memory use: 9.1 MB
10/25/09 17:42:19 v1.12 @ ERIK-DATOR, lanczos halted after 886 iterations (dim = 55914)
10/25/09 17:42:19 v1.12 @ ERIK-DATOR, recovered 14 nontrivial dependencies
10/25/09 17:42:20 v1.12 @ ERIK-DATOR, prp41 = 15778348857742482280322540725154142893917
10/25/09 17:42:22 v1.12 @ ERIK-DATOR, prp48 = 439175725135905508379395921376984663405910180421
10/25/09 17:42:22 v1.12 @ ERIK-DATOR, Lanczos elapsed time = 77.8740 seconds.
10/25/09 17:42:22 v1.12 @ ERIK-DATOR, Sqrt elapsed time = 3.1200 seconds.
10/25/09 17:42:22 v1.12 @ ERIK-DATOR, SIQS elapsed time = 1958.8982 seconds.
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

61×10155+119

c150

name 名前Sinkiti Sibata
date 日付December 25, 2009 11:47:56 UTC 2009 年 12 月 25 日 (金) 20 時 47 分 56 秒 (日本時間)
composite number 合成数
274338317340983504666607211706744571553032362611932844318536648833326834663356977248673607965777329302089167238841952301201525375012609443561389877069<150>
prime factors 素因数
287586298285800146257914734984871284131275628557401661706046609<63>
953933893847574957429258954829395060019674797190928406852259555726105076178805065202941<87>
factorization results 素因数分解の結果
Number: 67779_155
N=274338317340983504666607211706744571553032362611932844318536648833326834663356977248673607965777329302089167238841952301201525375012609443561389877069
  ( 150 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=287586298285800146257914734984871284131275628557401661706046609 (pp63)
 r2=953933893847574957429258954829395060019674797190928406852259555726105076178805065202941 (pp87)
Version: Msieve-1.40
Total time: 21.05 hours.
Scaled time: 43.74 units (timescale=2.078).
Factorization parameters were as follows:
name: 67779_155
n: 274338317340983504666607211706744571553032362611932844318536648833326834663356977248673607965777329302089167238841952301201525375012609443561389877069
m: 10000000000000000000000000000000
deg: 5
c5: 61
c0: 11
skew: 0.71
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 505234 x 505482
Total sieving time: 19.89 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.90 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 21.05 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
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10156+119

c139

name 名前Sinkiti Sibata
date 日付December 21, 2009 22:59:51 UTC 2009 年 12 月 22 日 (火) 7 時 59 分 51 秒 (日本時間)
composite number 合成数
7677593867696847684957279122264293269278228013253544279472612563182051822662480904492016418127582884422641770308593475797958842809778195943<139>
prime factors 素因数
661542050937201180007812167768624715936624530911929887<54>
11605602178758045128535674160139984140449568658770410887945323629142397528821410828089<86>
factorization results 素因数分解の結果
Number: 67779_156
N=7677593867696847684957279122264293269278228013253544279472612563182051822662480904492016418127582884422641770308593475797958842809778195943
  ( 139 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=661542050937201180007812167768624715936624530911929887 (pp54)
 r2=11605602178758045128535674160139984140449568658770410887945323629142397528821410828089 (pp86)
Version: Msieve v. 1.42
Total time: 1.57 hours.
Scaled time: 1.25 units (timescale=0.796).
Factorization parameters were as follows:
name: 67779_156
n: 7677593867696847684957279122264293269278228013253544279472612563182051822662480904492016418127582884422641770308593475797958842809778195943
m: 10000000000000000000000000000000
deg: 5
c5: 610
c0: 11
skew: 0.45
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 621877 x 622123
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.26 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 1.57 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 21 hours 36 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10158+119

c154

name 名前Dmitry Domanov
date 日付December 21, 2009 02:16:54 UTC 2009 年 12 月 21 日 (月) 11 時 16 分 54 秒 (日本時間)
composite number 合成数
2019425549573421181655273464980015963393442693503176953653521530552418824886341102162738552919377579940284593339007588074265864325722085331654230646868351<154>
prime factors 素因数
370424065561157043005740122638615381<36>
5451658618654229583422200616066216555531534316702994687574391619950836910293242281617785667350933415824446950885802371<118>
factorization results 素因数分解の結果
N=2019425549573421181655273464980015963393442693503176953653521530552418824886341102162738552919377579940284593339007588074265864325722085331654230646868351
  ( 154 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=370424065561157043005740122638615381 (pp36)
 r2=5451658618654229583422200616066216555531534316702994687574391619950836910293242281617785667350933415824446950885802371 (pp118)
Version: Msieve-1.40
Total time: 26.64 hours.
Scaled time: 50.45 units (timescale=1.894).
Factorization parameters were as follows:
n: 2019425549573421181655273464980015963393442693503176953653521530552418824886341102162738552919377579940284593339007588074265864325722085331654230646868351
m: 10000000000000000000000000000000
deg: 5
c5: 61000
c0: 11
skew: 0.18
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 571466 x 571692
Total sieving time: 26.07 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 26.64 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10159+119

c125

name 名前Jo Yeong Uk
date 日付December 20, 2009 16:00:25 UTC 2009 年 12 月 21 日 (月) 1 時 0 分 25 秒 (日本時間)
composite number 合成数
61634516966514961863963271009532422308818742105568058503065608758517820356226982703368854909438046148816322722175542245883017<125>
prime factors 素因数
27682035015166481474010757311683<32>
5486643505504392984455778494096868727<37>
405806725364661937722524130979655905519377159864333334037<57>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 61634516966514961863963271009532422308818742105568058503065608758517820356226982703368854909438046148816322722175542245883017 (125 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3551862618
Step 1 took 4258ms
Step 2 took 734ms
********** Factor found in step 2: 27682035015166481474010757311683
Found probable prime factor of 32 digits: 27682035015166481474010757311683
Composite cofactor 2226516834212027242444909816545471671278027082282232388885126145417248627018316263049829960899 has 94 digits

12/20/09 23:12:45 v1.10 @ 조영욱-PC, starting SIQS on c94: 2226516834212027242444909816545471671278027082282232388885126145417248627018316263049829960899
12/20/09 23:12:45 v1.10 @ 조영욱-PC, random seeds: 3976414213, 2696250688
12/20/09 23:12:45 v1.10 @ 조영욱-PC, ==== sieve params ====
12/20/09 23:12:45 v1.10 @ 조영욱-PC, n = 94 digits, 311 bits
12/20/09 23:12:45 v1.10 @ 조영욱-PC, factor base: 79491 primes (max prime = 2148583)
12/20/09 23:12:45 v1.10 @ 조영욱-PC, single large prime cutoff: 279315790 (130 * pmax)
12/20/09 23:12:45 v1.10 @ 조영욱-PC, double large prime range from 44 to 51 bits
12/20/09 23:12:45 v1.10 @ 조영욱-PC, double large prime cutoff: 1595775810273505
12/20/09 23:12:45 v1.10 @ 조영욱-PC, using 16 large prime slices of factor base
12/20/09 23:12:45 v1.10 @ 조영욱-PC, buckets hold 1024 elements
12/20/09 23:12:45 v1.10 @ 조영욱-PC, sieve interval: 13 blocks of size 65536
12/20/09 23:12:45 v1.10 @ 조영욱-PC, polynomial A has ~ 12 factors
12/20/09 23:12:45 v1.10 @ 조영욱-PC, using multiplier of 1
12/20/09 23:12:45 v1.10 @ 조영욱-PC, using small prime variation correction of 20 bits
12/20/09 23:12:45 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
12/20/09 23:12:45 v1.10 @ 조영욱-PC, trial factoring cutoff at 98 bits
12/20/09 23:12:45 v1.10 @ 조영욱-PC, ==== sieving started ====
12/21/09 00:58:14 v1.10 @ 조영욱-PC, sieve time = 3007.8790, relation time = 1158.4010, poly_time = 2159.9650
12/21/09 00:58:14 v1.10 @ 조영욱-PC, 79567 relations found: 20778 full + 58789 from 1066144 partial, using 770025 polys (376 A polys)
12/21/09 00:58:14 v1.10 @ 조영욱-PC, on average, sieving found 1.41 rels/poly and 171.71 rels/sec
12/21/09 00:58:14 v1.10 @ 조영욱-PC, trial division touched 54208468 sieve locations out of 1312073318400
12/21/09 00:58:14 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
12/21/09 00:58:15 v1.10 @ 조영욱-PC, begin with 1086922 relations
12/21/09 00:58:15 v1.10 @ 조영욱-PC, reduce to 198647 relations in 10 passes
12/21/09 00:58:17 v1.10 @ 조영욱-PC, recovered 198647 relations
12/21/09 00:58:17 v1.10 @ 조영욱-PC, recovered 175214 polynomials
12/21/09 00:58:18 v1.10 @ 조영욱-PC, attempting to build 79567 cycles
12/21/09 00:58:18 v1.10 @ 조영욱-PC, found 79566 cycles in 5 passes
12/21/09 00:58:18 v1.10 @ 조영욱-PC, distribution of cycle lengths:
12/21/09 00:58:18 v1.10 @ 조영욱-PC,    length 1 : 20778
12/21/09 00:58:18 v1.10 @ 조영욱-PC,    length 2 : 15063
12/21/09 00:58:18 v1.10 @ 조영욱-PC,    length 3 : 13884
12/21/09 00:58:18 v1.10 @ 조영욱-PC,    length 4 : 10553
12/21/09 00:58:18 v1.10 @ 조영욱-PC,    length 5 : 7602
12/21/09 00:58:18 v1.10 @ 조영욱-PC,    length 6 : 4939
12/21/09 00:58:18 v1.10 @ 조영욱-PC,    length 7 : 2983
12/21/09 00:58:18 v1.10 @ 조영욱-PC,    length 9+: 3764
12/21/09 00:58:18 v1.10 @ 조영욱-PC, largest cycle: 18 relations
12/21/09 00:58:18 v1.10 @ 조영욱-PC, matrix is 79491 x 79566 (21.7 MB) with weight 5045160 (63.41/col)
12/21/09 00:58:18 v1.10 @ 조영욱-PC, sparse part has weight 5045160 (63.41/col)
12/21/09 00:58:18 v1.10 @ 조영욱-PC, filtering completed in 3 passes
12/21/09 00:58:18 v1.10 @ 조영욱-PC, matrix is 75051 x 75113 (20.7 MB) with weight 4812529 (64.07/col)
12/21/09 00:58:18 v1.10 @ 조영욱-PC, sparse part has weight 4812529 (64.07/col)
12/21/09 00:58:19 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
12/21/09 00:58:19 v1.10 @ 조영욱-PC, matrix is 75003 x 75113 (14.7 MB) with weight 3938249 (52.43/col)
12/21/09 00:58:19 v1.10 @ 조영욱-PC, sparse part has weight 3094533 (41.20/col)
12/21/09 00:58:19 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
12/21/09 00:58:19 v1.10 @ 조영욱-PC, using block size 30045 for processor cache size 4096 kB
12/21/09 00:58:19 v1.10 @ 조영욱-PC, commencing Lanczos iteration
12/21/09 00:58:19 v1.10 @ 조영욱-PC, memory use: 12.5 MB
12/21/09 00:58:46 v1.10 @ 조영욱-PC, lanczos halted after 1187 iterations (dim = 75003)
12/21/09 00:58:47 v1.10 @ 조영욱-PC, recovered 18 nontrivial dependencies
12/21/09 00:58:48 v1.10 @ 조영욱-PC, prp57 = 405806725364661937722524130979655905519377159864333334037
12/21/09 00:58:52 v1.10 @ 조영욱-PC, prp37 = 5486643505504392984455778494096868727
12/21/09 00:58:52 v1.10 @ 조영욱-PC, Lanczos elapsed time = 32.2300 seconds.
12/21/09 00:58:52 v1.10 @ 조영욱-PC, Sqrt elapsed time = 5.0380 seconds.
12/21/09 00:58:52 v1.10 @ 조영욱-PC, SIQS elapsed time = 6367.1110 seconds.
12/21/09 00:58:52 v1.10 @ 조영욱-PC, 
12/21/09 00:58:52 v1.10 @ 조영욱-PC, 
software ソフトウェア
GMP-ECM v6.2.3 / YAFU v1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10160+119

c130

name 名前Sinkiti Sibata
date 日付December 22, 2009 09:00:18 UTC 2009 年 12 月 22 日 (火) 18 時 0 分 18 秒 (日本時間)
composite number 合成数
6243497231777202897086408485077339585620666600947801130141434691549613209529400593909446684764902280951362671525963210087044869721<130>
prime factors 素因数
329941288039669879685932268781811517<36>
18923055277115022873260438445332513123376717790659675808990381692014965745788428750512725960013<95>
factorization results 素因数分解の結果
Number: 67779_160
N=6243497231777202897086408485077339585620666600947801130141434691549613209529400593909446684764902280951362671525963210087044869721
  ( 130 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=329941288039669879685932268781811517 (pp36)
 r2=18923055277115022873260438445332513123376717790659675808990381692014965745788428750512725960013 (pp95)
Version: Msieve-1.40
Total time: 32.20 hours.
Scaled time: 67.15 units (timescale=2.085).
Factorization parameters were as follows:
name: 67779_160
n: 6243497231777202897086408485077339585620666600947801130141434691549613209529400593909446684764902280951362671525963210087044869721
m: 100000000000000000000000000000000
deg: 5
c5: 61
c0: 11
skew: 0.71
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 613100 x 613348
Total sieving time: 30.38 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.37 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 32.20 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
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10162+119

c139

name 名前Sinkiti Sibata
date 日付December 24, 2009 13:44:13 UTC 2009 年 12 月 24 日 (木) 22 時 44 分 13 秒 (日本時間)
composite number 合成数
4106528573194742072817881820216336322356298983908951601481939266256212139543924891157991054137712590592643943196774682498617901874261770439<139>
prime factors 素因数
113990293046369827455829809216336468347<39>
36025247970230741843823484703167564104166807793409098338045741430171486725099060883837298016220812837<101>
factorization results 素因数分解の結果
Number: 67779_162
N=4106528573194742072817881820216336322356298983908951601481939266256212139543924891157991054137712590592643943196774682498617901874261770439
  ( 139 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=113990293046369827455829809216336468347 (pp39)
 r2=36025247970230741843823484703167564104166807793409098338045741430171486725099060883837298016220812837 (pp101)
Version: Msieve-1.40
Total time: 51.17 hours.
Scaled time: 105.97 units (timescale=2.071).
Factorization parameters were as follows:
name: 67779_162
n: 4106528573194742072817881820216336322356298983908951601481939266256212139543924891157991054137712590592643943196774682498617901874261770439
m: 100000000000000000000000000000000
deg: 5
c5: 6100
c0: 11
skew: 0.28
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 751394 x 751640
Total sieving time: 48.65 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.11 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 51.17 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
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10163+119

c88

name 名前Sinkiti Sibata
date 日付December 20, 2009 12:16:29 UTC 2009 年 12 月 20 日 (日) 21 時 16 分 29 秒 (日本時間)
composite number 合成数
1419378460209883058482089957602475403206110804677664224171468339314844093054113795376717<88>
prime factors 素因数
1871588248380026241365627576216769897016787<43>
758381797619450576082406619267293711227799391<45>
factorization results 素因数分解の結果
Sun Dec 20 19:38:10 2009  Msieve v. 1.42
Sun Dec 20 19:38:10 2009  random seeds: 3250e898 fa2901fd
Sun Dec 20 19:38:10 2009  factoring 1419378460209883058482089957602475403206110804677664224171468339314844093054113795376717 (88 digits)
Sun Dec 20 19:38:11 2009  searching for 15-digit factors
Sun Dec 20 19:38:12 2009  commencing quadratic sieve (88-digit input)
Sun Dec 20 19:38:12 2009  using multiplier of 7
Sun Dec 20 19:38:12 2009  using 32kb Intel Core sieve core
Sun Dec 20 19:38:12 2009  sieve interval: 24 blocks of size 32768
Sun Dec 20 19:38:12 2009  processing polynomials in batches of 9
Sun Dec 20 19:38:12 2009  using a sieve bound of 1508383 (57277 primes)
Sun Dec 20 19:38:12 2009  using large prime bound of 120670640 (26 bits)
Sun Dec 20 19:38:12 2009  using double large prime bound of 352275850752880 (42-49 bits)
Sun Dec 20 19:38:12 2009  using trial factoring cutoff of 49 bits
Sun Dec 20 19:38:12 2009  polynomial 'A' values have 11 factors
Sun Dec 20 20:31:41 2009  57399 relations (15538 full + 41861 combined from 608371 partial), need 57373
Sun Dec 20 20:31:41 2009  begin with 623909 relations
Sun Dec 20 20:31:42 2009  reduce to 138787 relations in 10 passes
Sun Dec 20 20:31:42 2009  attempting to read 138787 relations
Sun Dec 20 20:31:44 2009  recovered 138787 relations
Sun Dec 20 20:31:44 2009  recovered 119426 polynomials
Sun Dec 20 20:31:44 2009  attempting to build 57399 cycles
Sun Dec 20 20:31:44 2009  found 57399 cycles in 5 passes
Sun Dec 20 20:31:44 2009  distribution of cycle lengths:
Sun Dec 20 20:31:44 2009     length 1 : 15538
Sun Dec 20 20:31:44 2009     length 2 : 11111
Sun Dec 20 20:31:44 2009     length 3 : 10290
Sun Dec 20 20:31:44 2009     length 4 : 7582
Sun Dec 20 20:31:44 2009     length 5 : 5361
Sun Dec 20 20:31:44 2009     length 6 : 3370
Sun Dec 20 20:31:44 2009     length 7 : 1860
Sun Dec 20 20:31:44 2009     length 9+: 2287
Sun Dec 20 20:31:44 2009  largest cycle: 22 relations
Sun Dec 20 20:31:44 2009  matrix is 57277 x 57399 (13.8 MB) with weight 3395606 (59.16/col)
Sun Dec 20 20:31:44 2009  sparse part has weight 3395606 (59.16/col)
Sun Dec 20 20:31:45 2009  filtering completed in 3 passes
Sun Dec 20 20:31:45 2009  matrix is 53367 x 53430 (13.0 MB) with weight 3193737 (59.77/col)
Sun Dec 20 20:31:45 2009  sparse part has weight 3193737 (59.77/col)
Sun Dec 20 20:31:45 2009  saving the first 48 matrix rows for later
Sun Dec 20 20:31:45 2009  matrix is 53319 x 53430 (9.0 MB) with weight 2572383 (48.14/col)
Sun Dec 20 20:31:45 2009  sparse part has weight 2027747 (37.95/col)
Sun Dec 20 20:31:45 2009  matrix includes 64 packed rows
Sun Dec 20 20:31:45 2009  using block size 21372 for processor cache size 1024 kB
Sun Dec 20 20:31:46 2009  commencing Lanczos iteration
Sun Dec 20 20:31:46 2009  memory use: 8.8 MB
Sun Dec 20 20:32:03 2009  lanczos halted after 845 iterations (dim = 53317)
Sun Dec 20 20:32:03 2009  recovered 18 nontrivial dependencies
Sun Dec 20 20:32:04 2009  prp43 factor: 1871588248380026241365627576216769897016787
Sun Dec 20 20:32:04 2009  prp45 factor: 758381797619450576082406619267293711227799391
Sun Dec 20 20:32:04 2009  elapsed time 00:53:54

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10164+119

c129

name 名前Sinkiti Sibata
date 日付December 25, 2009 08:08:41 UTC 2009 年 12 月 25 日 (金) 17 時 8 分 41 秒 (日本時間)
composite number 合成数
299730804723366427812204067615768836287014813862082169550356765685497896283053155240966553527690369103612485282297406365169526801<129>
prime factors 素因数
120914647031434162711029575123136458526463272062610139034489<60>
2478862669511374046524623309725596551727978452206500258616198344907609<70>
factorization results 素因数分解の結果
Number: 67779_164
N=299730804723366427812204067615768836287014813862082169550356765685497896283053155240966553527690369103612485282297406365169526801
  ( 129 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=120914647031434162711029575123136458526463272062610139034489 (pp60)
 r2=2478862669511374046524623309725596551727978452206500258616198344907609 (pp70)
Version: Msieve-1.40
Total time: 48.01 hours.
Scaled time: 161.12 units (timescale=3.356).
Factorization parameters were as follows:
name: 67779_164
n: 299730804723366427812204067615768836287014813862082169550356765685497896283053155240966553527690369103612485282297406365169526801
m: 100000000000000000000000000000000
deg: 5
c5: 610000
c0: 11
skew: 0.11
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 801796 x 802044
Total sieving time: 46.61 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.22 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 48.01 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
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10165+119

c153

name 名前Dmitry Domanov
date 日付December 21, 2009 08:35:21 UTC 2009 年 12 月 21 日 (月) 17 時 35 分 21 秒 (日本時間)
composite number 合成数
360393135377284193093901844159276001250820053284430212998748937525336740416091877204027563021808549174725531214464896270870837855123940777121408807916057<153>
prime factors 素因数
2752738908947720923391736911537353829351043020914446781171<58>
130921655593937280434022421470604766061837566769549361700021420587916908256274349687404863625667<96>
factorization results 素因数分解の結果
N=360393135377284193093901844159276001250820053284430212998748937525336740416091877204027563021808549174725531214464896270870837855123940777121408807916057
  ( 153 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=2752738908947720923391736911537353829351043020914446781171 (pp58)
 r2=130921655593937280434022421470604766061837566769549361700021420587916908256274349687404863625667 (pp96)
Version: Msieve-1.40
Total time: 31.56 hours.
Scaled time: 57.73 units (timescale=1.829).
Factorization parameters were as follows:
n: 360393135377284193093901844159276001250820053284430212998748937525336740416091877204027563021808549174725531214464896270870837855123940777121408807916057
m: 1000000000000000000000000000000000
deg: 5
c5: 61
c0: 11
skew: 0.71
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 789471 x 789696
Total sieving time: 30.57 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 31.56 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10166+119

c139

name 名前Markus Tervooren
date 日付December 28, 2009 01:33:52 UTC 2009 年 12 月 28 日 (月) 10 時 33 分 52 秒 (日本時間)
composite number 合成数
4380691489385669559984295576747858022363764967964586020875488435851133950835649033469523957715632171872985087052285726086426284264139869847<139>
prime factors 素因数
142764139093831387098492576380731<33>
30684817049934862236835487841888609107837093149971626018403841800708999218658693557067867089469650182858837<107>
factorization results 素因数分解の結果
Sieving took ~32 hours on Core 2 / 2.66Ghz

Msieve v. 1.44
Mon Dec 28 01:43:08 2009
random seeds: 4d0fab47 e5c17bb6
factoring 4380691489385669559984295576747858022363764967964586020875488435851133950835649033469523957715632171872985087052285726086426284264139869847 (139 digits)
searching for 15-digit factors
commencing number field sieve (139-digit input)
R0: -1000000000000000000000000000000000
R1:  1
A0:  11
A1:  0
A2:  0
A3:  0
A4:  0
A5:  610
skew 0.45, size 7.665444e-12, alpha 0.927177, combined = 2.833476e-10

commencing square root phase
reading relations for dependency 1
read 389925 cycles
cycles contain 1310856 unique relations
read 1310856 relations
multiplying 1310856 relations
multiply complete, coefficients have about 39.71 million bits
initial square root is modulo 503431
reading relations for dependency 2
read 390315 cycles
cycles contain 1313576 unique relations
read 1313576 relations
multiplying 1313576 relations
multiply complete, coefficients have about 39.80 million bits
initial square root is modulo 517471
reading relations for dependency 3
read 390501 cycles
cycles contain 1312940 unique relations
read 1312940 relations
multiplying 1312940 relations
multiply complete, coefficients have about 39.78 million bits
initial square root is modulo 513991
sqrtTime: 696
prp33 factor: 142764139093831387098492576380731
prp107 factor: 30684817049934862236835487841888609107837093149971626018403841800708999218658693557067867089469650182858837
elapsed time 00:11:38

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10167+119

c113

name 名前Robert Backstrom
date 日付December 21, 2009 06:48:16 UTC 2009 年 12 月 21 日 (月) 15 時 48 分 16 秒 (日本時間)
composite number 合成数
80037199184730508977115416119352537885292239945463872142115955448280340669721848637051339150323473728208754076511<113>
prime factors 素因数
113794270147369588653878589256850130478318915747067<51>
703349993642721287585740997082676211944799701617899993459389933<63>
factorization results 素因数分解の結果
Number: n
N=80037199184730508977115416119352537885292239945463872142115955448280340669721848637051339150323473728208754076511
  ( 113 digits)
Divisors found:

Mon Dec 21 17:45:03 2009  prp51 factor: 113794270147369588653878589256850130478318915747067
Mon Dec 21 17:45:03 2009  prp63 factor: 703349993642721287585740997082676211944799701617899993459389933
Mon Dec 21 17:45:03 2009  elapsed time 00:45:19 (Msieve 1.43 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 10.16 hours.
Scaled time: 18.57 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_6_7_166_9
n: 80037199184730508977115416119352537885292239945463872142115955448280340669721848637051339150323473728208754076511
Y0: -8028180428284353607319
Y1:  771316934069
c0: -34736039266361789859349168152
c1:  1204731244369413931166325
c2:  24032766499366145074
c3: -147570282929998
c4: -286500260
c5:  2400
skew: 152736.69
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1750000, 2264753)
Primes: RFBsize:250150, AFBsize:250087, largePrimes:8195560 encountered
Relations: rels:4505389, finalFF:42038
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1357077 hash collisions in 16229987 relations
Msieve: matrix is 491541 x 491767 (136.2 MB)

Total sieving time: 10.08 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,28,28,56,56,2.6,2.6,100000
total time: 10.16 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
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10169+119

c124

name 名前Wataru Sakai
date 日付December 22, 2009 05:17:13 UTC 2009 年 12 月 22 日 (火) 14 時 17 分 13 秒 (日本時間)
composite number 合成数
1868172766170658596202319354856693431026432449694859973077306169786231070077742774642552407938552123290332724013877703690693<124>
prime factors 素因数
1241527496479518969376421541593971<34>
1504737326775329431837876707667921530091717850110212903089127410272542747798721969528414183<91>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1130343346
Step 1 took 11375ms
Step 2 took 5675ms
********** Factor found in step 2: 1241527496479518969376421541593971
Found probable prime factor of 34 digits: 1241527496479518969376421541593971
Probable prime cofactor 1504737326775329431837876707667921530091717850110212903089127410272542747798721969528414183 has 91 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
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10171+119

c137

name 名前Sinkiti Sibata
date 日付April 9, 2010 09:25:36 UTC 2010 年 4 月 9 日 (金) 18 時 25 分 36 秒 (日本時間)
composite number 合成数
16136534505439128381905276987675434558238550626710716046041262854614075132631659486775273085425974202498647140670966835748877119053822373<137>
prime factors 素因数
2356283733006025761544983487300907009263364301997553<52>
6848298564134704811361929667540887734115283671201626733386140788297350150636060125941<85>
factorization results 素因数分解の結果
Number: 67779_171
N=16136534505439128381905276987675434558238550626710716046041262854614075132631659486775273085425974202498647140670966835748877119053822373
  ( 137 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=2356283733006025761544983487300907009263364301997553 (pp52)
 r2=6848298564134704811361929667540887734115283671201626733386140788297350150636060125941 (pp85)
Version: Msieve-1.40
Total time: 102.44 hours.
Scaled time: 323.61 units (timescale=3.159).
Factorization parameters were as follows:
name: 67779_171
n: 16136534505439128381905276987675434558238550626710716046041262854614075132631659486775273085425974202498647140670966835748877119053822373
m: 10000000000000000000000000000000000
deg: 5
c5: 610
c0: 11
skew: 0.45
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1038925 x 1039172
Total sieving time: 99.50 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.54 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 102.44 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
351e6118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 18, 2010 14:41:31 UTC 2010 年 1 月 18 日 (月) 23 時 41 分 31 秒 (日本時間)

61×10173+119

c146

name 名前Wataru Sakai
date 日付March 1, 2010 00:51:38 UTC 2010 年 3 月 1 日 (月) 9 時 51 分 38 秒 (日本時間)
composite number 合成数
26656467334709904073134862779295517079814737964432096296725840995492082536211647791721833562811329994801172057827828234726041095881501664857355431<146>
prime factors 素因数
7367921404106198588301290759232603149<37>
composite cofactor 合成数の残り
3617908752372691199113393643545033623452050111847412547193731844142817341983336304101223532325959508389964419<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1882517408
Step 1 took 47429ms
Step 2 took 15690ms
********** Factor found in step 2: 7367921404106198588301290759232603149
Found probable prime factor of 37 digits: 7367921404106198588301290759232603149
Composite cofactor 3617908752372691199113393643545033623452050111847412547193731844142817341983336304101223532325959508389964419 has 109 digits
software ソフトウェア
GMP-ECM 6.2.1

c109

name 名前ruffenach timothee
date 日付March 1, 2010 22:12:39 UTC 2010 年 3 月 2 日 (火) 7 時 12 分 39 秒 (日本時間)
composite number 合成数
3617908752372691199113393643545033623452050111847412547193731844142817341983336304101223532325959508389964419<109>
prime factors 素因数
158911917873070601700674732285479115606428865368227739<54>
22766755324559494358929643088337361837502181978114872121<56>
factorization results 素因数分解の結果
Number: 67779_173/67779_173
N=3617908752372691199113393643545033623452050111847412547193731844142817341983336304101223532325959508389964419
  ( 109 digits)
Divisors found:
 r1=158911917873070601700674732285479115606428865368227739 (pp54)
 r2=22766755324559494358929643088337361837502181978114872121 (pp56)
Version: Msieve v. 1.44
Total time: 12.73 hours.
Scaled time: 26.57 units (timescale=2.087).
Factorization parameters were as follows:
name: 67779_173/67779_173
n: 3617908752372691199113393643545033623452050111847412547193731844142817341983336304101223532325959508389964419
skew: 15420.00
# norm 3.34e+15
c5: 75000
c4: -2768233616
c3: -214314435034736
c2: 526752037753266915
c1: 8447787022612248915386
c0: -13172605637255535803162944
# alpha -6.68
Y1: 99938410979
Y0: -545355699991458351825
# Murphy_E 1.23e-09
# M 3484050108523087679507479482476482094382164415797761004059871311206221935154561903778651377918913775396723068
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 414960 x 415187
Polynomial selection time: 1.25 hours.
Total sieving time: 10.81 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 12.73 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
403e61293 / 2318Wataru SakaiMarch 1, 2010 00:51:18 UTC 2010 年 3 月 1 日 (月) 9 時 51 分 18 秒 (日本時間)

61×10174+119

c152

name 名前Ignacio Santos
date 日付June 7, 2010 19:53:12 UTC 2010 年 6 月 8 日 (火) 4 時 53 分 12 秒 (日本時間)
composite number 合成数
35259397284221716970480019810826898891245596834301387706210296181598693524520898437680165360724845205627975178201756281592618044378926066774691002875421<152>
prime factors 素因数
194087652985380197956811990904295997<36>
composite cofactor 合成数の残り
181667389665831335726941749261252803424939308497871794225786196699298004287605759149888787426778096052713998130084193<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=979673009
Step 1 took 21762ms
Step 2 took 16817ms
********** Factor found in step 2: 194087652985380197956811990904295997
Found probable prime factor of 36 digits: 194087652985380197956811990904295997
Composite cofactor 181667389665831335726941749261252803424939308497871794225786196699298004287605759149888787426778096052713998130084193 has 117 digits
software ソフトウェア
GMP-ECM 6.2.3

c117

name 名前Dmitry Domanov
date 日付June 10, 2010 16:11:27 UTC 2010 年 6 月 11 日 (金) 1 時 11 分 27 秒 (日本時間)
composite number 合成数
181667389665831335726941749261252803424939308497871794225786196699298004287605759149888787426778096052713998130084193<117>
prime factors 素因数
413282358321178217200759952934543432163324032996082126927<57>
439572089173596797458633485736036541862498997540378028916559<60>
factorization results 素因数分解の結果
Number: ggg117
N=181667389665831335726941749261252803424939308497871794225786196699298004287605759149888787426778096052713998130084193
  ( 117 digits)
Divisors found:
 r1=413282358321178217200759952934543432163324032996082126927 (pp57)
 r2=439572089173596797458633485736036541862498997540378028916559 (pp60)
Version: Msieve-1.40
Total time: 25.63 hours.
Scaled time: 50.31 units (timescale=1.963).
Factorization parameters were as follows:
name: ggg117
n: 181667389665831335726941749261252803424939308497871794225786196699298004287605759149888787426778096052713998130084193
skew: 79606.19
# norm 2.92e+016
c5: 65520
c4: 6648247788
c3: -992737801543906
c2: -25576340931799872479
c1: 1688535215404703942775092
c0: -211493961338680791543699168
# alpha -6.54
Y1: 1168802656019
Y0: -19434800521967991281849
# Murphy_E 4.35e-010
# M 68991335037259227746322724372757579663249761096895927851392906528969784016768875162786296521674925921815824478888452
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1800000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 555876 x 556105
Total sieving time: 24.98 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,53,53,2.5,2.5,100000
total time: 25.63 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
351e6418118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 9, 2010 21:37:01 UTC 2010 年 6 月 10 日 (木) 6 時 37 分 1 秒 (日本時間)
403e6110 / 2126Ignacio SantosJune 9, 2010 21:37:01 UTC 2010 年 6 月 10 日 (木) 6 時 37 分 1 秒 (日本時間)
4511e632 / 4437Ignacio SantosJune 9, 2010 21:37:01 UTC 2010 年 6 月 10 日 (木) 6 時 37 分 1 秒 (日本時間)

61×10176+119

c151

name 名前Rich Dickerson
date 日付August 21, 2011 22:13:01 UTC 2011 年 8 月 22 日 (月) 7 時 13 分 1 秒 (日本時間)
composite number 合成数
5301562070544969720957118902142583088764581621541226204331183473600388832163050565060375923193881995536638223066869612166992641523465322429257004300101<151>
prime factors 素因数
1676981384740138826737048034493177011<37>
composite cofactor 合成数の残り
3161372045502155392036153919149490205054967699832792445589198043251673360550916916995658146532556063598424933681191<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2430288424
Step 1 took 21448ms
Step 2 took 8475ms
********** Factor found in step 2: 1676981384740138826737048034493177011
Found probable prime factor of 37 digits: 1676981384740138826737048034493177011
Composite cofactor 3161372045502155392036153919149490205054967699832792445589198043251673360550916916995658146532556063598424933681191 has 115 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.2] [ECM]
execution environment 実行環境
C2D 2.2 GHz, Mac OS X

c115

name 名前Warut Roonguthai
date 日付August 23, 2011 05:22:48 UTC 2011 年 8 月 23 日 (火) 14 時 22 分 48 秒 (日本時間)
composite number 合成数
3161372045502155392036153919149490205054967699832792445589198043251673360550916916995658146532556063598424933681191<115>
prime factors 素因数
1141439980357459268841031966937707421134300960351<49>
2769634934735791989088132715019803527446730809962389708086691926841<67>
factorization results 素因数分解の結果
N = 3161372045502155392036153919149490205054967699832792445589198043251673360550916916995658146532556063598424933681191 (115 digits)
Divisors found:
r1=1141439980357459268841031966937707421134300960351 (pp49)
r2=2769634934735791989088132715019803527446730809962389708086691926841 (pp67)
Version: Msieve v. 1.48
Total time: 8.25 hours.
Factorization parameters were as follows:
n: 3161372045502155392036153919149490205054967699832792445589198043251673360550916916995658146532556063598424933681191
Y0: -18873895861498317466511
Y1: 948967213769
c0: -595799240126883557816830866516
c1: 15290346331592766853793524
c2: 20412786161312269761
c3: -509865115338501
c4: -368404463
c5: 1320
skew: 300976.13 
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8553709
Relations: 641744 relations
Pruned matrix : 401631 x 401855
Polynomial selection time: 0.00 hours.
Total sieving time: 8.01 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.17 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 8.25 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 5, 2010 13:42:26 UTC 2010 年 11 月 5 日 (金) 22 時 42 分 26 秒 (日本時間)
403e6110 / 1726Ignacio SantosNovember 5, 2010 13:42:26 UTC 2010 年 11 月 5 日 (金) 22 時 42 分 26 秒 (日本時間)
4511e6148 / 443732Ignacio SantosNovember 5, 2010 13:42:26 UTC 2010 年 11 月 5 日 (金) 22 時 42 分 26 秒 (日本時間)
116Rich DickersonAugust 21, 2011 22:09:53 UTC 2011 年 8 月 22 日 (月) 7 時 9 分 53 秒 (日本時間)

61×10178+119

c163

name 名前matsui
date 日付September 3, 2010 20:53:32 UTC 2010 年 9 月 4 日 (土) 5 時 53 分 32 秒 (日本時間)
composite number 合成数
6873753788141092413891452436355645845392647759277560929813695524274363748508919652090578812378819476645564098818820386410895308921285335811224997940859495858539247<163>
prime factors 素因数
2829676568475942590138948809657032444287508841693183632423841841724139<70>
2429165885853619193662244316309260460121425009342270209434351530162935206800853034298450568973<94>
factorization results 素因数分解の結果
N=6873753788141092413891452436355645845392647759277560929813695524274363748508919652090578812378819476645564098818820386410895308921285335811224997940859495858539247
  ( 163 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=2829676568475942590138948809657032444287508841693183632423841841724139 (pp70)
 r2=2429165885853619193662244316309260460121425009342270209434351530162935206800853034298450568973 (pp94)
Version: Msieve v. 1.47
Total time:
Scaled time: 15.33 units (timescale=1.887).
Factorization parameters were as follows:
n: 6873753788141092413891452436355645845392647759277560929813695524274363748508919652090578812378819476645564098818820386410895308921285335811224997940859495858539247
m: 100000000000000000000000000000000000
deg: 5
c5: 61000
c0: 11
skew: 0.18
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 160000
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 9690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1508581 x 1508807
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10182+119

c144

name 名前Jo Yeong Uk
date 日付May 17, 2014 06:16:52 UTC 2014 年 5 月 17 日 (土) 15 時 16 分 52 秒 (日本時間)
composite number 合成数
108653547754349420142056902031394272116119405302211234307408460983711129053872074001730481249008499770920692931630653116773273303608397829377911<144>
prime factors 素因数
1246505344407159693517090030957318021922149099929085006327<58>
87166531809797617494556064308545074048880991482593163567830671341243212388220992638593<86>
factorization results 素因数分解の結果
Number: 67779_182
N=108653547754349420142056902031394272116119405302211234307408460983711129053872074001730481249008499770920692931630653116773273303608397829377911
  ( 144 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=1246505344407159693517090030957318021922149099929085006327
 r2=87166531809797617494556064308545074048880991482593163567830671341243212388220992638593
Version: 
Total time: 75.75 hours.
Scaled time: 380.21 units (timescale=5.019).
Factorization parameters were as follows:
n: 108653547754349420142056902031394272116119405302211234307408460983711129053872074001730481249008499770920692931630653116773273303608397829377911
m: 1000000000000000000000000000000000000
deg: 5
c5: 6100
c0: 11
skew: 0.28
# Murphy_E = 6.057e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18761827
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1515702 x 1515950
Total sieving time: 70.99 hours.
Total relation processing time: 1.68 hours.
Matrix solve time: 2.81 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 75.75 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374320k/51380224k available (5220k kernel code, 1085960k absent, 919944k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.27 BogoMIPS (lpj=3400138)
Total of 12 processors activated (81603.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 5, 2010 13:42:48 UTC 2010 年 11 月 5 日 (金) 22 時 42 分 48 秒 (日本時間)
403e61110110Ignacio SantosNovember 5, 2010 13:42:48 UTC 2010 年 11 月 5 日 (金) 22 時 42 分 48 秒 (日本時間)
1000Dmitry DomanovDecember 25, 2012 09:23:18 UTC 2012 年 12 月 25 日 (火) 18 時 23 分 18 秒 (日本時間)
4511e61482 / 421632Ignacio SantosNovember 5, 2010 13:42:48 UTC 2010 年 11 月 5 日 (金) 22 時 42 分 48 秒 (日本時間)
600Dmitry DomanovDecember 25, 2012 09:23:18 UTC 2012 年 12 月 25 日 (火) 18 時 23 分 18 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:26 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 26 秒 (日本時間)

61×10184+119

c136

name 名前Robert Backstrom
date 日付May 26, 2012 07:01:37 UTC 2012 年 5 月 26 日 (土) 16 時 1 分 37 秒 (日本時間)
composite number 合成数
1373123490285079421140337590869728041256722606371942919647106480781855859122503323720529874856512586234384083969944055757349175773110607<136>
prime factors 素因数
827806600268057932733085709213633930973963<42>
1658749144837016948708252697308393521243700130544531238189495565052688622257535454865313453389<94>
factorization results 素因数分解の結果
Number: n
N=1373123490285079421140337590869728041256722606371942919647106480781855859122503323720529874856512586234384083969944055757349175773110607
  ( 136 digits)
Divisors found:

Sat May 26 16:52:52 2012  prp42 factor: 827806600268057932733085709213633930973963
Sat May 26 16:52:52 2012  prp94 factor: 1658749144837016948708252697308393521243700130544531238189495565052688622257535454865313453389
Sat May 26 16:52:52 2012  elapsed time 04:51:57 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_67779_184
n: 1373123490285079421140337590869728041256722606371942919647106480781855859122503323720529874856512586234384083969944055757349175773110607
skew: 248588.18
# norm 2.13e+18
c5: 42840
c4: 181444343565
c3: -10137733929219076
c2: -9865289136569960840783
c1: 275577110643242276323216373
c0: 49775216042143987906053962807655
# alpha -5.52
Y1: 223209585186143
Y0: -126232556108555026350030818
# Murphy_E 3.55e-11
# M 1234219154333434736038873572977930149864160862239199828194692499921395983486755256791684866489479612700408755350599758357140459159008945
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 16660000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2270330 hash collisions in 24737212 relations (23397558 unique)
Msieve: matrix is 1759752 x 1759978 (509.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.5,2.5,60000
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.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 5, 2010 13:43:08 UTC 2010 年 11 月 5 日 (金) 22 時 43 分 8 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 5, 2010 13:43:08 UTC 2010 年 11 月 5 日 (金) 22 時 43 分 8 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 5, 2010 13:43:08 UTC 2010 年 11 月 5 日 (金) 22 時 43 分 8 秒 (日本時間)

61×10185+119

c180

name 名前Dmitry Domanov
date 日付December 21, 2009 01:36:58 UTC 2009 年 12 月 21 日 (月) 10 時 36 分 58 秒 (日本時間)
composite number 合成数
355936652845237984789368067149025016570018195364992906649310962072849029585396234225223059957062369612672651887359936738970237919145313239133822903776727122798903785129561816889731<180>
prime factors 素因数
93294348110671834780090636675095012293<38>
211932646641119217655915149848691440234801<42>
18001948543574024260951655439691780805894373278122437636957145375740930619748197779058194059900366167<101>
factorization results 素因数分解の結果
Factor=93294348110671834780090636675095012293  Method=ECM  B1=11000000  Sigma=96355152
Factor=211932646641119217655915149848691440234801  Method=ECM  B1=11000000  Sigma=583579203
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10186+119

c177

name 名前Dmitry Domanov
date 日付December 20, 2009 15:49:52 UTC 2009 年 12 月 21 日 (月) 0 時 49 分 52 秒 (日本時間)
composite number 合成数
612577694662420734688621207296853748100784112113458566389234033765343325618261818907748567723709335521630130956372816721480275946386655430940523064800520305104464711551965017119<177>
prime factors 素因数
6593937000538782954599208778732781<34>
92900143664152041610733982563617930749541509401481860046283875992578438137971694644621795839901683792618731990044520768286581883999169058387899<143>
factorization results 素因数分解の結果
Factor=6593937000538782954599208778732781  Method=ECM  B1=11000000  Sigma=2002082671
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)

61×10189+119

c184

name 名前Robert Backstrom
date 日付March 10, 2010 18:27:05 UTC 2010 年 3 月 11 日 (木) 3 時 27 分 5 秒 (日本時間)
composite number 合成数
2573939687698412246315563571056917443922609819563030276408631744718855952165904843812706814471566595478246222142219113240645343221987656144780984948824382584656559860406389632272207709<184>
prime factors 素因数
11384293539641391457483319514553211009689575658311591843638042233407115590250383161<83>
226095688655221735585493152042682368158637747926233856958274932057159101039244430511781829552567993669<102>
factorization results 素因数分解の結果
Number: n
N=2573939687698412246315563571056917443922609819563030276408631744718855952165904843812706814471566595478246222142219113240645343221987656144780984948824382584656559860406389632272207709
  ( 184 digits)
SNFS difficulty: 190 digits.
Divisors found:

Thu Mar 11 05:22:34 2010  prp83 factor: 11384293539641391457483319514553211009689575658311591843638042233407115590250383161
Thu Mar 11 05:22:34 2010  prp102 factor: 226095688655221735585493152042682368158637747926233856958274932057159101039244430511781829552567993669
Thu Mar 11 05:22:34 2010  elapsed time 06:49:01 (Msieve 1.42 - dependency 4)

Version: 
Total time: 16.58 hours.
Scaled time: 13.96 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_6_7_188_9
n: 2573939687698412246315563571056917443922609819563030276408631744718855952165904843812706814471566595478246222142219113240645343221987656144780984948824382584656559860406389632272207709
m: 10000000000000000000000000000000000000
deg: 5
c5: 610000
c0: 11
skew: 0.11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10144063)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4327754 hash collisions in 31070765 relations
Msieve: matrix is 1527282 x 1527507 (406.5 MB)

Total sieving time: 16.58 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,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,56,56,2.5,2.5,100000
total time: 16.58 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
403e60--
4511e6678 / 4429Dmitry DomanovDecember 22, 2009 05:30:48 UTC 2009 年 12 月 22 日 (火) 14 時 30 分 48 秒 (日本時間)
5043e613 / 7401Lionel DebrouxDecember 21, 2009 08:41:58 UTC 2009 年 12 月 21 日 (月) 17 時 41 分 58 秒 (日本時間)

61×10190+119

c185

name 名前Robert Backstrom
date 日付December 23, 2009 11:01:30 UTC 2009 年 12 月 23 日 (水) 20 時 1 分 30 秒 (日本時間)
composite number 合成数
95666060833891254663524428642293149980702116744901116579759539435353816221105909073016258368623915856524119531135930964861228537280044514515913265071678188153812833586377905719371922513<185>
prime factors 素因数
1246377540553231270517304854428178026702512130082057989845012070878697<70>
76755282987069738064818275995174521908382367033378985164674128789540497512724588327483330081841463307730148032229929<116>
factorization results 素因数分解の結果
Number: n
N=95666060833891254663524428642293149980702116744901116579759539435353816221105909073016258368623915856524119531135930964861228537280044514515913265071678188153812833586377905719371922513
  ( 185 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed Dec 23 21:52:20 2009  prp70 factor: 1246377540553231270517304854428178026702512130082057989845012070878697
Wed Dec 23 21:52:20 2009  prp116 factor: 76755282987069738064818275995174521908382367033378985164674128789540497512724588327483330081841463307730148032229929
Wed Dec 23 21:52:20 2009  elapsed time 05:36:34 (Msieve 1.42 - dependency 2)

Version: GGNFS-0.77.1-20050930-k8
Total time: ~ 24.00 hours.
Scaled time: 0.00 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_6_7_189_9
n: 95666060833891254663524428642293149980702116744901116579759539435353816221105909073016258368623915856524119531135930964861228537280044514515913265071678188153812833586377905719371922513
m: 100000000000000000000000000000000000000
deg: 5
c5: 61
c0: 11
skew: 0.71
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 100000)
Primes: RFBsize:726517, AFBsize:725315, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2883289 hash collisions in 27132787 relations
Msieve: matrix is 1475928 x 1476154 (394.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
403e60--
4511e6700 / 4475Dmitry DomanovDecember 22, 2009 05:31:28 UTC 2009 年 12 月 22 日 (火) 14 時 31 分 28 秒 (日本時間)

61×10192+119

c173

name 名前Edwin Hall
date 日付January 5, 2021 16:35:27 UTC 2021 年 1 月 6 日 (水) 1 時 35 分 27 秒 (日本時間)
composite number 合成数
58554345784506121272077702036099626242943730753694803963060720780678826406944977846861423795445159258944691791044356993834047703540185673034855686699955733873739862962818033<173>
prime factors 素因数
249410070353802456843216126106847647471732364237566234839926924672185764254567861<81>
234771377520736957849275147331675620205532492987387169635149871897981555741973784931645557453<93>
factorization results 素因数分解の結果
p81 factor: 249410070353802456843216126106847647471732364237566234839926924672185764254567861
p93 factor: 234771377520736957849275147331675620205532492987387169635149871897981555741973784931645557453


Msieve v. 1.54 (SVN 1034)
random seeds: 29fed754 7fc96267
factoring 58554345784506121272077702036099626242943730753694803963060720780678826406944977846861423795445159258944691791044356993834047703540185673034855686699955733873739862962818033 (173 digits)
searching for 15-digit factors
commencing number field sieve (173-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6100
skew 1.00, size 1.025e-13, alpha 0.408, combined = 2.018e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2334556 hash collisions in 37037034 relations
added 727399 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37764433 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1245.4 MB
keeping 40341784 ideals with weight <= 200, target excess is 200079
commencing in-memory singleton removal
begin with 37764433 relations and 40341784 unique ideals
reduce to 14537531 relations and 13155673 ideals in 14 passes
max relations containing the same ideal: 105
removing 2112034 relations and 1712034 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12425497 relations and 13155673 unique ideals
reduce to 12166795 relations and 11175779 ideals in 10 passes
max relations containing the same ideal: 96
removing 1698228 relations and 1298228 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10468567 relations and 11175779 unique ideals
reduce to 10266359 relations and 9668457 ideals in 9 passes
max relations containing the same ideal: 86
removing 1498250 relations and 1132440 ideals in 365810 cliques
commencing in-memory singleton removal
begin with 8768109 relations and 9668457 unique ideals
reduce to 8574553 relations and 8335879 ideals in 8 passes
max relations containing the same ideal: 76
relations with 0 large ideals: 4193
relations with 1 large ideals: 8742
relations with 2 large ideals: 78678
relations with 3 large ideals: 384624
relations with 4 large ideals: 1120110
relations with 5 large ideals: 2032274
relations with 6 large ideals: 2406334
relations with 7+ large ideals: 2539598
commencing 2-way merge
reduce to 5302180 relation sets and 5063506 unique ideals
commencing full merge
memory use: 596.6 MB
found 2462575 cycles, need 2437706
weight of 2437706 cycles is about 219655317 (90.11/cycle)
distribution of cycle lengths:
1 relations: 206275
2 relations: 208316
3 relations: 215014
4 relations: 210572
5 relations: 203590
6 relations: 188052
7 relations: 175929
8 relations: 159638
9 relations: 143212
10+ relations: 727108
heaviest cycle: 28 relations
commencing cycle optimization
start with 18063088 relations
pruned 621165 relations
memory use: 532.4 MB
distribution of cycle lengths:
1 relations: 206275
2 relations: 213388
3 relations: 223328
4 relations: 217824
5 relations: 211160
6 relations: 194282
7 relations: 181515
8 relations: 163431
9 relations: 145687
10+ relations: 680816
heaviest cycle: 27 relations
RelProcTime: 983
elapsed time 00:16:24


Msieve v. 1.54 (SVN 1034)
random seeds: aa0d552a 0750d4af
factoring 58554345784506121272077702036099626242943730753694803963060720780678826406944977846861423795445159258944691791044356993834047703540185673034855686699955733873739862962818033 (173 digits)
searching for 15-digit factors
commencing number field sieve (173-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6100
skew 1.00, size 1.025e-13, alpha 0.408, combined = 2.018e-11 rroots = 1

commencing linear algebra
read 2437706 cycles
cycles contain 8353001 unique relations
read 8353001 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1012.7 MB
read 2437706 cycles
matrix is 2437525 x 2437706 (895.4 MB) with weight 262832875 (107.82/col)
sparse part has weight 207898575 (85.28/col)
filtering completed in 2 passes
matrix is 2436621 x 2436802 (895.3 MB) with weight 262795269 (107.84/col)
sparse part has weight 207882661 (85.31/col)
matrix starts at (0, 0)
matrix is 2436621 x 2436802 (895.3 MB) with weight 262795269 (107.84/col)
sparse part has weight 207882661 (85.31/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2436573 x 2436802 (853.5 MB) with weight 217844986 (89.40/col)
sparse part has weight 199365135 (81.81/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 812.5 MB
linear algebra at 0.1%, ETA 2h40m
checkpointing every 920000 dimensions
lanczos halted after 38533 iterations (dim = 2436569)
recovered 37 nontrivial dependencies
BLanczosTime: 10219
elapsed time 02:50:20


Msieve v. 1.54 (SVN 1034)
random seeds: be16e565 ec7fa1e8
factoring 58554345784506121272077702036099626242943730753694803963060720780678826406944977846861423795445159258944691791044356993834047703540185673034855686699955733873739862962818033 (173 digits)
searching for 15-digit factors
commencing number field sieve (173-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6100
skew 1.00, size 1.025e-13, alpha 0.408, combined = 2.018e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1218583 cycles
cycles contain 4176942 unique relations
read 4176942 relations
multiplying 4176942 relations
multiply complete, coefficients have about 142.07 million bits
initial square root is modulo 125551
sqrtTime: 284
p81 factor: 249410070353802456843216126106847647471732364237566234839926924672185764254567861
p93 factor: 234771377520736957849275147331675620205532492987387169635149871897981555741973784931645557453
elapsed time 00:04:45
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 5, 2010 13:43:32 UTC 2010 年 11 月 5 日 (金) 22 時 43 分 32 秒 (日本時間)
403e61110110Ignacio SantosNovember 5, 2010 13:43:32 UTC 2010 年 11 月 5 日 (金) 22 時 43 分 32 秒 (日本時間)
1000Dmitry DomanovDecember 25, 2012 09:23:30 UTC 2012 年 12 月 25 日 (火) 18 時 23 分 30 秒 (日本時間)
4511e62100 / 421632Ignacio SantosNovember 5, 2010 13:43:32 UTC 2010 年 11 月 5 日 (金) 22 時 43 分 32 秒 (日本時間)
600Dmitry DomanovDecember 25, 2012 09:23:30 UTC 2012 年 12 月 25 日 (火) 18 時 23 分 30 秒 (日本時間)
1468Eric JeancolasOctober 13, 2020 02:52:34 UTC 2020 年 10 月 13 日 (火) 11 時 52 分 34 秒 (日本時間)

61×10194+119

c168

name 名前Edwin Hall
date 日付January 1, 2021 13:20:45 UTC 2021 年 1 月 1 日 (金) 22 時 20 分 45 秒 (日本時間)
composite number 合成数
369965434275597308021049267273344291331530222387820434590668875858363930859204035891312534876190657311717450891355014567984340043627521224838036832446828175724338231177<168>
prime factors 素因数
20727283598140963783749555292326903694712292046108152046278930107957653631<74>
17849200186983479957776800334395442321628546134247727366147952013104723347603907382185443070967<95>
factorization results 素因数分解の結果
p74 factor: 20727283598140963783749555292326903694712292046108152046278930107957653631
p95 factor: 17849200186983479957776800334395442321628546134247727366147952013104723347603907382185443070967


Msieve v. 1.54 (SVN 1032M)
random seeds: c90e6cca 535434fb
factoring 369965434275597308021049267273344291331530222387820434590668875858363930859204035891312534876190657311717450891355014567984340043627521224838036832446828175724338231177 (168 digits)
searching for 15-digit factors
commencing number field sieve (168-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 976
skew 1.00, size 6.362e-14, alpha 0.684, combined = 1.575e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2221091 hash collisions in 36077735 relations
added 727034 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 36804769 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1221.4 MB
keeping 39930863 ideals with weight <= 200, target excess is 193792
commencing in-memory singleton removal
begin with 36804769 relations and 39930863 unique ideals
reduce to 13636846 relations and 12723878 ideals in 16 passes
max relations containing the same ideal: 104
removing 1984254 relations and 1640169 ideals in 344085 cliques
commencing in-memory singleton removal
begin with 11652592 relations and 12723878 unique ideals
reduce to 11398536 relations and 10821104 ideals in 8 passes
max relations containing the same ideal: 98
removing 1591687 relations and 1247602 ideals in 344085 cliques
commencing in-memory singleton removal
begin with 9806849 relations and 10821104 unique ideals
reduce to 9606471 relations and 9366966 ideals in 8 passes
max relations containing the same ideal: 83
removing 122318 relations and 107612 ideals in 14706 cliques
commencing in-memory singleton removal
begin with 9484153 relations and 9366966 unique ideals
reduce to 9482957 relations and 9258155 ideals in 5 passes
max relations containing the same ideal: 83
relations with 0 large ideals: 4110
relations with 1 large ideals: 6891
relations with 2 large ideals: 65997
relations with 3 large ideals: 344143
relations with 4 large ideals: 1077052
relations with 5 large ideals: 2100074
relations with 6 large ideals: 2687925
relations with 7+ large ideals: 3196765
commencing 2-way merge
reduce to 5860460 relation sets and 5635658 unique ideals
commencing full merge
memory use: 673.6 MB
found 2747905 cycles, need 2727858
weight of 2727858 cycles is about 245607784 (90.04/cycle)
distribution of cycle lengths:
1 relations: 242429
2 relations: 246719
3 relations: 251518
4 relations: 239509
5 relations: 227496
6 relations: 207249
7 relations: 190134
8 relations: 170189
9 relations: 150587
10+ relations: 802028
heaviest cycle: 28 relations
commencing cycle optimization
start with 20077493 relations
pruned 667621 relations
memory use: 593.2 MB
distribution of cycle lengths:
1 relations: 242429
2 relations: 252725
3 relations: 260969
4 relations: 247363
5 relations: 235648
6 relations: 213281
7 relations: 195169
8 relations: 173081
9 relations: 153065
10+ relations: 754128
heaviest cycle: 27 relations
RelProcTime: 722
elapsed time 00:12:04


Msieve v. 1.54 (SVN 1032M)
random seeds: 6ebb9c70 4ec74ec4
factoring 369965434275597308021049267273344291331530222387820434590668875858363930859204035891312534876190657311717450891355014567984340043627521224838036832446828175724338231177 (168 digits)
searching for 15-digit factors
commencing number field sieve (168-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 976
skew 1.00, size 6.362e-14, alpha 0.684, combined = 1.575e-11 rroots = 1

commencing linear algebra
read 2727858 cycles
cycles contain 9318854 unique relations
read 9318854 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1173.5 MB
read 2727858 cycles
matrix is 2727681 x 2727858 (1004.8 MB) with weight 293261938 (107.51/col)
sparse part has weight 233397504 (85.56/col)
filtering completed in 2 passes
matrix is 2726893 x 2727070 (1004.7 MB) with weight 293232995 (107.53/col)
sparse part has weight 233386736 (85.58/col)
matrix starts at (0, 0)
matrix is 2726893 x 2727070 (1004.7 MB) with weight 293232995 (107.53/col)
sparse part has weight 233386736 (85.58/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2726845 x 2727070 (953.3 MB) with weight 241662460 (88.62/col)
sparse part has weight 222632974 (81.64/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 910.4 MB
linear algebra at 0.1%, ETA 2h29m
checkpointing every 1040000 dimensions
lanczos halted after 43120 iterations (dim = 2726843)
recovered 37 nontrivial dependencies
BLanczosTime: 8105
elapsed time 02:15:06


Msieve v. 1.54 (SVN 1032M)
random seeds: 40f0d86d d785a14e
factoring 369965434275597308021049267273344291331530222387820434590668875858363930859204035891312534876190657311717450891355014567984340043627521224838036832446828175724338231177 (168 digits)
searching for 15-digit factors
commencing number field sieve (168-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 976
skew 1.00, size 6.362e-14, alpha 0.684, combined = 1.575e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1364623 cycles
cycles contain 4663300 unique relations
read 4663300 relations
multiplying 4663300 relations
multiply complete, coefficients have about 149.34 million bits
initial square root is modulo 228841
GCD is 1, no factor found
reading relations for dependency 2
read 1363785 cycles
cycles contain 4659394 unique relations
read 4659394 relations
multiplying 4659394 relations
multiply complete, coefficients have about 149.21 million bits
initial square root is modulo 226381
GCD is N, no factor found
reading relations for dependency 3
read 1362399 cycles
cycles contain 4659208 unique relations
read 4659208 relations
multiplying 4659208 relations
multiply complete, coefficients have about 149.21 million bits
initial square root is modulo 226381
GCD is 1, no factor found
reading relations for dependency 4
read 1363822 cycles
cycles contain 4659330 unique relations
read 4659330 relations
multiplying 4659330 relations
multiply complete, coefficients have about 149.21 million bits
initial square root is modulo 226451
sqrtTime: 1642
p74 factor: 20727283598140963783749555292326903694712292046108152046278930107957653631
p95 factor: 17849200186983479957776800334395442321628546134247727366147952013104723347603907382185443070967
elapsed time 00:27:23
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 5, 2010 13:54:55 UTC 2010 年 11 月 5 日 (金) 22 時 54 分 55 秒 (日本時間)
403e61110110Ignacio SantosNovember 5, 2010 13:54:55 UTC 2010 年 11 月 5 日 (金) 22 時 54 分 55 秒 (日本時間)
1000Dmitry DomanovDecember 25, 2012 09:23:41 UTC 2012 年 12 月 25 日 (火) 18 時 23 分 41 秒 (日本時間)
4511e6632 / 421632Ignacio SantosNovember 5, 2010 13:54:55 UTC 2010 年 11 月 5 日 (金) 22 時 54 分 55 秒 (日本時間)
600Dmitry DomanovDecember 25, 2012 09:23:41 UTC 2012 年 12 月 25 日 (火) 18 時 23 分 41 秒 (日本時間)

61×10195+119

c175

name 名前Bob Backstrom
date 日付March 4, 2021 22:37:55 UTC 2021 年 3 月 5 日 (金) 7 時 37 分 55 秒 (日本時間)
composite number 合成数
3098277100858512813951037237451861267712327769735653728540310684374407588848929780185585645106843432565829852954145069332551103670109696626022046683473908572112592317285074493<175>
prime factors 素因数
332995262293074190004246974495534769042053909<45>
9304267813070781953206083201711241937513866264113359774551083931596180229608495130373652311403826533092178153048878411212993341577<130>
factorization results 素因数分解の結果
Number: n
N=3098277100858512813951037237451861267712327769735653728540310684374407588848929780185585645106843432565829852954145069332551103670109696626022046683473908572112592317285074493  ( 175 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Mar  5 09:30:52 2021  p45 factor: 332995262293074190004246974495534769042053909
Fri Mar  5 09:30:52 2021  p130 factor: 9304267813070781953206083201711241937513866264113359774551083931596180229608495130373652311403826533092178153048878411212993341577
Fri Mar  5 09:30:52 2021  elapsed time 00:55:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 61x10^195+11 = 67(194)9
#
n: 3098277100858512813951037237451861267712327769735653728540310684374407588848929780185585645106843432565829852954145069332551103670109696626022046683473908572112592317285074493
m: 1000000000000000000000000000000000000000
deg: 5
c5: 61
c0: 11
skew: 0.71
# Murphy_E = 2.436e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 12253949)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3663773 hash collisions in 29527258 relations (27516753 unique)
Msieve: matrix is 1532347 x 1532572 (533.3 MB)

Sieving start time : 2021/03/05 05:39:33
Sieving end time  : 2021/03/05 08:34:37

Total sieving time: 2hrs 55min 4secs.

Total relation processing time: 0hrs 45min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 56sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.154161] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400)
[    0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 5, 2010 17:30:53 UTC 2010 年 11 月 6 日 (土) 2 時 30 分 53 秒 (日本時間)
403e61110110Ignacio SantosNovember 5, 2010 17:30:53 UTC 2010 年 11 月 6 日 (土) 2 時 30 分 53 秒 (日本時間)
1000Dmitry DomanovDecember 25, 2012 09:23:51 UTC 2012 年 12 月 25 日 (火) 18 時 23 分 51 秒 (日本時間)
4511e6632 / 421632Ignacio SantosNovember 5, 2010 17:30:53 UTC 2010 年 11 月 6 日 (土) 2 時 30 分 53 秒 (日本時間)
600Dmitry DomanovDecember 25, 2012 09:23:51 UTC 2012 年 12 月 25 日 (火) 18 時 23 分 51 秒 (日本時間)

61×10196+119

c194

name 名前Robert Backstrom
date 日付March 3, 2010 22:44:08 UTC 2010 年 3 月 4 日 (木) 7 時 44 分 8 秒 (日本時間)
composite number 合成数
11760849866003431854551063296508377195519309001870167929512021130969595311084118996664545857674436539610927950334509418319933676518788439662984171052885264233520350126284535446430292864441745233<194>
prime factors 素因数
503353507745319114994474886041714166826433972216443149419123614959555772238010119<81>
23364990379592324769436625725229708239002478431946642025096897816014994030181941389129396722784648087318500837607<113>
factorization results 素因数分解の結果
Number: n
N=11760849866003431854551063296508377195519309001870167929512021130969595311084118996664545857674436539610927950334509418319933676518788439662984171052885264233520350126284535446430292864441745233
  ( 194 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Mar  4 09:35:17 2010  prp81 factor: 503353507745319114994474886041714166826433972216443149419123614959555772238010119
Thu Mar  4 09:35:17 2010  prp113 factor: 23364990379592324769436625725229708239002478431946642025096897816014994030181941389129396722784648087318500837607
Thu Mar  4 09:35:17 2010  elapsed time 10:05:46 (Msieve 1.42 - dependency 1)

Version: 
Total time: 25.93 hours.
Scaled time: 21.80 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_6_7_195_9
n: 11760849866003431854551063296508377195519309001870167929512021130969595311084118996664545857674436539610927950334509418319933676518788439662984171052885264233520350126284535446430292864441745233
m: 1000000000000000000000000000000000000000
deg: 5
c5: 610
c0: 11
skew: 0.45
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 13819541)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4539850 hash collisions in 31690481 relations
Msieve: matrix is 1945046 x 1945271 (520.0 MB)

Total sieving time: 25.93 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,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,56,56,2.5,2.5,100000
total time: 25.93 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
403e60 / 41--
4511e6660 / 4475Dmitry DomanovDecember 22, 2009 05:32:22 UTC 2009 年 12 月 22 日 (火) 14 時 32 分 22 秒 (日本時間)

61×10197+119

c157

name 名前Eric Jeancolas
date 日付September 30, 2021 03:55:59 UTC 2021 年 9 月 30 日 (木) 12 時 55 分 59 秒 (日本時間)
composite number 合成数
1807338867177732838408658270134667940488061383814556452391408275225346926812236178639241063339003095979042880935139477773391310942951504908540056002916012209<157>
prime factors 素因数
128274950242571967250044994595072520384342928181271620289583789753963<69>
14089569816710107236544872403527487417756262454680781909420690390736726362497414067778643<89>
factorization results 素因数分解の結果
1807338867177732838408658270134667940488061383814556452391408275225346926812236178639241063339003095979042880935139477773391310942951504908540056002916012209=128274950242571967250044994595072520384342928181271620289583789753963*14089569816710107236544872403527487417756262454680781909420690390736726362497414067778643

cado polynomial
n: 1807338867177732838408658270134667940488061383814556452391408275225346926812236178639241063339003095979042880935139477773391310942951504908540056002916012209
skew: 1.10
type: snfs
c0: 110
c6: 61
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 61*x^6+110
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15000000
tasks.lim1 = 15000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 128274950242571967250044994595072520384342928181271620289583789753963 14089569816710107236544872403527487417756262454680781909420690390736726362497414067778643
Info:Square Root: Total cpu/real time for sqrt: 1051.53/319.716
Info:Generate Factor Base: Total cpu/real time for makefb: 9.78/3.88661
Info:Filtering - Singleton removal: Total cpu/real time for purge: 590.38/697.33
Info:Filtering - Merging: Merged matrix has 3357983 rows and total weight 573786721 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 948.87/262.784
Info:Filtering - Merging: Total cpu/real time for replay: 135.77/119.423
Info:Quadratic Characters: Total cpu/real time for characters: 117.59/50.0602
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33834930
Info:Lattice Sieving: Average J: 1893.86 for 8079250 special-q, max bucket fill -bkmult 1.0,1s:1.187820
Info:Lattice Sieving: Total time: 1.78205e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 207737/53146.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 133700.45, WCT time 34087.81, iteration CPU time 0.31, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (104960 iterations)
Info:Linear Algebra: Lingen CPU time 734.5, WCT time 186.33
Info:Linear Algebra: Mksol: CPU time 71977.98,  WCT time 18375.91, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (52736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 182.84/47.2878
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 713.75/749.709
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 609.4000000000001s
Info:Square Root: Total cpu/real time for sqrt: 1051.53/319.716
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 149.04/175.017
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 173.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.55535e+06/141844
128274950242571967250044994595072520384342928181271620289583789753963 14089569816710107236544872403527487417756262454680781909420690390736726362497414067778643
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 5, 2010 18:40:19 UTC 2010 年 11 月 6 日 (土) 3 時 40 分 19 秒 (日本時間)
403e61110110Ignacio SantosNovember 5, 2010 18:40:19 UTC 2010 年 11 月 6 日 (土) 3 時 40 分 19 秒 (日本時間)
1000Dmitry DomanovDecember 25, 2012 09:24:02 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 2 秒 (日本時間)
4511e6511232Ignacio SantosNovember 5, 2010 18:40:19 UTC 2010 年 11 月 6 日 (土) 3 時 40 分 19 秒 (日本時間)
600Dmitry DomanovDecember 25, 2012 09:24:02 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 2 秒 (日本時間)
4480Ignacio SantosAugust 18, 2021 18:01:29 UTC 2021 年 8 月 19 日 (木) 3 時 1 分 29 秒 (日本時間)

61×10198+119

c164

name 名前Eric Jeancolas
date 日付December 30, 2020 10:10:24 UTC 2020 年 12 月 30 日 (水) 19 時 10 分 24 秒 (日本時間)
composite number 合成数
17831254574941664679096948388464121739002053819573203803658669511157374126746642055673379792754296385156839476917421366758563919871120534052611405660103633910609833<164>
prime factors 素因数
23483622906902574875527967148720039286686756600760574846311297644217<68>
759305948900265236050058319256268080138305881632706144765691976819313157630274623742111322689649<96>
factorization results 素因数分解の結果
17831254574941664679096948388464121739002053819573203803658669511157374126746642055673379792754296385156839476917421366758563919871120534052611405660103633910609833=23483622906902574875527967148720039286686756600760574846311297644217*759305948900265236050058319256268080138305881632706144765691976819313157630274623742111322689649

cado polynomial
n: 17831254574941664679096948388464121739002053819573203803658669511157374126746642055673379792754296385156839476917421366758563919871120534052611405660103633910609833
skew: 0.18
type: snfs
c0: 11
c5: 61000
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 61000*x^5+11
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15000000
tasks.lim1 = 15000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 759305948900265236050058319256268080138305881632706144765691976819313157630274623742111322689649 23483622906902574875527967148720039286686756600760574846311297644217
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 8.42/1.53148
Info:Generate Free Relations: Total cpu/real time for freerel: 120.12/10.2392
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33884833
Info:Lattice Sieving: Average J: 1893.74 for 6986535 special-q, max bucket fill -bkmult 1.0,1s:1.106360
Info:Lattice Sieving: Total time: 2.71387e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 118.25/239.742
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 238.60000000000005s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 972.22/882.111
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 755.2000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 856.46/922.973
Info:Filtering - Merging: Merged matrix has 3379528 rows and total weight 574519909 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1896.14/1673.55
Info:Filtering - Merging: Total cpu/real time for replay: 121.85/96.815
Info:Linear Algebra: Total cpu/real time for bwc: 259555/47724.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 30555.43, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (105984 iterations)
Info:Linear Algebra: Lingen CPU time 493.26, WCT time 113.88
Info:Linear Algebra: Mksol: WCT time 16835.89, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (53248 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 125.03/30.389
Info:Square Root: Total cpu/real time for sqrt: 963.33/443.29
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5.44015e+06/504180
Info:root: Cleaning up computation data in /tmp/cado.icnj3cxt
759305948900265236050058319256268080138305881632706144765691976819313157630274623742111322689649 23483622906902574875527967148720039286686756600760574846311297644217
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 20, 2009 08:00:00 UTC 2009 年 12 月 20 日 (日) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 04:46:47 UTC 2010 年 11 月 6 日 (土) 13 時 46 分 47 秒 (日本時間)
403e61110110Ignacio SantosNovember 6, 2010 04:46:47 UTC 2010 年 11 月 6 日 (土) 13 時 46 分 47 秒 (日本時間)
1000Dmitry DomanovDecember 25, 2012 09:24:11 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 11 秒 (日本時間)
4511e62100 / 421632Ignacio SantosNovember 6, 2010 04:46:47 UTC 2010 年 11 月 6 日 (土) 13 時 46 分 47 秒 (日本時間)
600Dmitry DomanovDecember 25, 2012 09:24:11 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 11 秒 (日本時間)
1468Eric JeancolasOctober 10, 2020 06:35:53 UTC 2020 年 10 月 10 日 (土) 15 時 35 分 53 秒 (日本時間)

61×10202+119

c186

name 名前Bob Backstrom
date 日付September 5, 2021 21:04:43 UTC 2021 年 9 月 6 日 (月) 6 時 4 分 43 秒 (日本時間)
composite number 合成数
564826224176789110212518020783364430594419624670206303875862451561939766013015344677149593856882614185029918517021591216769861925382830287364303005419361323346354144454117452191137039447<186>
prime factors 素因数
1481624078834296248166435917536599686895678666914503<52>
1295566373418703371384654444156332782002969500879390047295221920413<67>
294250464811369315249537934725498842845255190499142422780732719401573<69>
factorization results 素因数分解の結果
Number: n
N=564826224176789110212518020783364430594419624670206303875862451561939766013015344677149593856882614185029918517021591216769861925382830287364303005419361323346354144454117452191137039447  ( 186 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon Sep  6 06:49:12 2021  found factor: 1481624078834296248166435917536599686895678666914503
Mon Sep  6 06:59:04 2021  p52 factor: 1481624078834296248166435917536599686895678666914503
Mon Sep  6 06:59:04 2021  p67 factor: 1295566373418703371384654444156332782002969500879390047295221920413
Mon Sep  6 06:59:04 2021  p69 factor: 294250464811369315249537934725498842845255190499142422780732719401573
Mon Sep  6 06:59:04 2021  elapsed time 02:13:06 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 61x10^202+11 = 67(201)9
#
n: 564826224176789110212518020783364430594419624670206303875862451561939766013015344677149593856882614185029918517021591216769861925382830287364303005419361323346354144454117452191137039447
m: 10000000000000000000000000000000000000000
deg: 5
c5: 6100
c0: 11
skew: 0.28
# Murphy_E = 9.063e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10374478 hash collisions in 64977281 relations (56866090 unique)
Msieve: matrix is 2284577 x 2284802 (792.1 MB)

Sieving start time : 2021/09/05 13:02:21
Sieving end time  : 2021/09/06 04:41:46

Total sieving time: 15hrs 39min 25secs.

Total relation processing time: 1hrs 43min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 10sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:41:10 UTC 2012 年 12 月 17 日 (月) 22 時 41 分 10 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:24:23 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 23 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:24:23 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 23 秒 (日本時間)

61×10204+119

c187

name 名前Bob Backstrom
date 日付October 14, 2021 21:38:26 UTC 2021 年 10 月 15 日 (金) 6 時 38 分 26 秒 (日本時間)
composite number 合成数
2203556247879860091387393630448582364327486822283638698249448074680001674942107367789157393153127046313779135592467122577603865236427138464060985870207356165869323568085457278121542148927<187>
prime factors 素因数
4707624579112054431175316247036329368871818617430770359713812275113006623292400627<82>
468082407772518638521891281411314600039498313937565911520691645926057301169304256302369948163093834592901<105>
factorization results 素因数分解の結果
Number: n
N=2203556247879860091387393630448582364327486822283638698249448074680001674942107367789157393153127046313779135592467122577603865236427138464060985870207356165869323568085457278121542148927  ( 187 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Oct 15 08:29:21 2021  p82 factor: 4707624579112054431175316247036329368871818617430770359713812275113006623292400627
Fri Oct 15 08:29:21 2021  p105 factor: 468082407772518638521891281411314600039498313937565911520691645926057301169304256302369948163093834592901
Fri Oct 15 08:29:21 2021  elapsed time 02:04:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 61x10^204+11 = 67(203)9
#
n: 2203556247879860091387393630448582364327486822283638698249448074680001674942107367789157393153127046313779135592467122577603865236427138464060985870207356165869323568085457278121542148927
m: 10000000000000000000000000000000000
deg: 6
c6: 61
c0: 11
skew: 0.75
# Murphy_E = 7.355e-12
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9876010 hash collisions in 61963475 relations (54659329 unique)
Msieve: matrix is 2355711 x 2355937 (811.3 MB)

Sieving start time : 2021/10/14 14:03:43
Sieving end time  : 2021/10/15 06:23:36

Total sieving time: 16hrs 19min 53secs.

Total relation processing time: 1hrs 45min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 32sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18800000,18800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:41:21 UTC 2012 年 12 月 17 日 (月) 22 時 41 分 21 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:24:33 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 33 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:24:33 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 33 秒 (日本時間)

61×10205+119

c187

name 名前Warut Roonguthai
date 日付December 15, 2012 13:21:10 UTC 2012 年 12 月 15 日 (土) 22 時 21 分 10 秒 (日本時間)
composite number 合成数
3305863297364452064569981530314077620862114574691010483250996065168575102076572703631793129554476121319902992158187496030673606713521059692039973385913079149930332796887323031748946065663<187>
prime factors 素因数
812481834731214497342449651553<30>
composite cofactor 合成数の残り
4068845795743973558516647818327239258304627446101593110994458513849216844135265310709604336047646520569580992670030218546315111155227981427095892483828171871<157>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2136295558
Step 1 took 10016ms
Step 2 took 6567ms
********** Factor found in step 2: 812481834731214497342449651553
Found probable prime factor of 30 digits: 812481834731214497342449651553
Composite cofactor 4068845795743973558516647818327239258304627446101593110994458513849216844135265310709604336047646520569580992670030218546315111155227981427095892483828171871 has 157 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:41:28 UTC 2012 年 12 月 17 日 (月) 22 時 41 分 28 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:24:42 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 42 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:24:42 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 42 秒 (日本時間)

61×10207+119

c180

name 名前Dmitry Domanov
date 日付December 24, 2012 06:04:38 UTC 2012 年 12 月 24 日 (月) 15 時 4 分 38 秒 (日本時間)
composite number 合成数
199004147175144404858804566455969616415695885272180290150787247429822288353485432328116333637585422608314455702185227690062684788502754090918415937529544251956360423723413092328621<180>
prime factors 素因数
18080635797143246165923107999265534605559801<44>
11006479495958167984257044798065069954073208026085386679172162953084926180237218271922709902557791117262300468658788941723173494834132821<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2843001939
Step 1 took 124030ms
********** Factor found in step 1: 18080635797143246165923107999265534605559801
Found probable prime factor of 44 digits: 18080635797143246165923107999265534605559801

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:41:38 UTC 2012 年 12 月 17 日 (月) 22 時 41 分 38 秒 (日本時間)

61×10208+119

c150

name 名前Dmitry Domanov
date 日付December 20, 2012 08:16:04 UTC 2012 年 12 月 20 日 (木) 17 時 16 分 4 秒 (日本時間)
composite number 合成数
930610216395990511692732731757474321636622786542808950350462236912053688910850872432232182093945119893540223807030111553072195336018268539664632326513<150>
prime factors 素因数
1340869505485339246192798982162415749<37>
694034887503201247432668696456348705162463833754366868517675610218686396350971557138455584921744739743655129706237<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3391864651
Step 1 took 23634ms
Step 2 took 9473ms
********** Factor found in step 2: 1340869505485339246192798982162415749
Found probable prime factor of 37 digits: 1340869505485339246192798982162415749

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:41:54 UTC 2012 年 12 月 17 日 (月) 22 時 41 分 54 秒 (日本時間)

61×10210+119

c188

composite cofactor 合成数の残り
80184500127791624603318606791192890574219030548153901118493438975779525514613546197872355993728079770258106319592968307792155946342334884232110249847025963410072362571659918885863908213143<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:42:03 UTC 2012 年 12 月 17 日 (月) 22 時 42 分 3 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:24:54 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 54 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:24:54 UTC 2012 年 12 月 25 日 (火) 18 時 24 分 54 秒 (日本時間)

61×10211+119

c177

composite cofactor 合成数の残り
297809493292808055582142216783946659918728135679355014301767807777819271472253728841680260844237153564215303643055678813538962932824828486609109578604600421846697405221999075843<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:42:14 UTC 2012 年 12 月 17 日 (月) 22 時 42 分 14 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:25:04 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 4 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:25:04 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 4 秒 (日本時間)

61×10212+119

c171

composite cofactor 合成数の残り
262821164947221181089220759184969165232012176339788999081867040608960436934955678437753631673748937497784373487164012258260925207701283489427376019404076450888257711830397<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:42:33 UTC 2012 年 12 月 17 日 (月) 22 時 42 分 33 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:25:14 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 14 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:25:14 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 14 秒 (日本時間)

61×10213+119

c214

name 名前Serge Batalov
date 日付November 8, 2013 18:08:22 UTC 2013 年 11 月 9 日 (土) 3 時 8 分 22 秒 (日本時間)
composite number 合成数
6777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<214>
prime factors 素因数
130696724150949001099306827689808894222334657<45>
51858819123498006215489558094536902425597145740537753613866828466286197970638100113772690934485125979193605667769004800019319388995034075450052914778970192901403883677747<170>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2485832668
Step 1 took 73386ms
Step 2 took 24793ms
********** Factor found in step 2: 130696724150949001099306827689808894222334657
Found probable prime factor of 45 digits: 130696724150949001099306827689808894222334657
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:42:39 UTC 2012 年 12 月 17 日 (月) 22 時 42 分 39 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:25:23 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 23 秒 (日本時間)
4511e61450 / 4194600Dmitry DomanovDecember 25, 2012 09:25:23 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:21 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 21 秒 (日本時間)

61×10216+119

c177

composite cofactor 合成数の残り
413436309465537124466722627215576424311132974490837577023487247595240240995306635537696210877896567294527970786251300106903028381561185349127337338198972818194115440183148705267<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:42:46 UTC 2012 年 12 月 17 日 (月) 22 時 42 分 46 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:25:33 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 33 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:25:33 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 33 秒 (日本時間)

61×10217+119

c159

composite cofactor 合成数の残り
869125654112008721892198816299169654618668377130202495791398665365347371700649519168614430606828637971979074543403795808073760146440708613028510112771574076239<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:42:52 UTC 2012 年 12 月 17 日 (月) 22 時 42 分 52 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:25:42 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 42 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:25:42 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 42 秒 (日本時間)

61×10218+119

c209

name 名前Warut Roonguthai
date 日付December 16, 2012 00:26:50 UTC 2012 年 12 月 16 日 (日) 9 時 26 分 50 秒 (日本時間)
composite number 合成数
96130425089516196011792610536678059079089071989388913893665302015431231815644842353879253015167592217987428476241548268163232159316281029133975283931399145014117618964970993443766470769263966933589917326551791<209>
prime factors 素因数
116839855447996848413930038900444253<36>
composite cofactor 合成数の残り
822753714654345683891783822723814691554177275155467948165275688347905525353291889863876678628187452338816413320484174348832648852452215047947640014104004697010857471827132347<174>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1919579756
Step 1 took 12059ms
Step 2 took 7301ms
********** Factor found in step 2: 116839855447996848413930038900444253
Found probable prime factor of 36 digits: 116839855447996848413930038900444253
Composite cofactor 822753714654345683891783822723814691554177275155467948165275688347905525353291889863876678628187452338816413320484174348832648852452215047947640014104004697010857471827132347 has 174 digits
software ソフトウェア
GMP-ECM 6.3

c174

name 名前Warut Roonguthai
date 日付December 16, 2012 13:59:10 UTC 2012 年 12 月 16 日 (日) 22 時 59 分 10 秒 (日本時間)
composite number 合成数
822753714654345683891783822723814691554177275155467948165275688347905525353291889863876678628187452338816413320484174348832648852452215047947640014104004697010857471827132347<174>
prime factors 素因数
1611641975713037620071046038617633831<37>
510506506440635079331790951583665836939826479285905756713733138144858264244980453187035477386941535450667855897578411300874258481757122637<138>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2321907560
Step 1 took 11014ms
Step 2 took 6365ms
********** Factor found in step 2: 1611641975713037620071046038617633831
Found probable prime factor of 37 digits: 1611641975713037620071046038617633831
Probable prime cofactor 510506506440635079331790951583665836939826479285905756713733138144858264244980453187035477386941535450667855897578411300874258481757122637 has 138 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)

61×10222+119

c202

name 名前Warut Roonguthai
date 日付December 16, 2012 00:18:56 UTC 2012 年 12 月 16 日 (日) 9 時 18 分 56 秒 (日本時間)
composite number 合成数
5527706959450150730823426399354374593039001241312601594665008885600997765785783774559577560351671570549429935885707443138060345222177087750011455974627836670791828068483789871696546706657520113207480219<202>
prime factors 素因数
14525156315821367545665060314538323<35>
380560927487517392396268008801887101980697052581267028936583736787536615298350526657373251554308836949237876525614511076901831220445900395792763796919264184650436601753<168>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4274385148
Step 1 took 11108ms
Step 2 took 6365ms
********** Factor found in step 2: 14525156315821367545665060314538323
Found probable prime factor of 35 digits: 14525156315821367545665060314538323
Probable prime cofactor 380560927487517392396268008801887101980697052581267028936583736787536615298350526657373251554308836949237876525614511076901831220445900395792763796919264184650436601753 has 168 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)

61×10223+119

c183

composite cofactor 合成数の残り
125820902439048942102330493982883661762338889696493473342706412064388338235334139168084670982018695729641138823064130753021714035327106982026730104768561214124521821552944382705287059<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:43:11 UTC 2012 年 12 月 17 日 (月) 22 時 43 分 11 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:25:52 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 52 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:25:52 UTC 2012 年 12 月 25 日 (火) 18 時 25 分 52 秒 (日本時間)

61×10224+119

c218

composite cofactor 合成数の残り
65496071486578400080648211827866832571436860439585795542717466579314234013190071306646733527848075999751630307274175155628597633442259742452052876116639570082927797227426744066702831235188157382593164913728735693792423<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:43:18 UTC 2012 年 12 月 17 日 (月) 22 時 43 分 18 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:26:01 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 1 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:26:01 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 1 秒 (日本時間)

61×10225+119

c196

composite cofactor 合成数の残り
2137301375959041843518271629354073208818994063801658021745865930526237064523744728796992466942281901845609628334742979786288229072947543558572258775651644617592928614832845519540566983124922234901<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:43:24 UTC 2012 年 12 月 17 日 (月) 22 時 43 分 24 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:26:12 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 12 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:26:12 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 12 秒 (日本時間)

61×10226+119

c204

composite cofactor 合成数の残り
528922792800069550347519312455831597850735312432086922785929615217309626910329268976574611388204756169742762534119731515880010518655348247747160573031389031836527809025658107076158180190201698939132584129<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:43:33 UTC 2012 年 12 月 17 日 (月) 22 時 43 分 33 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:26:22 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 22 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:26:22 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 22 秒 (日本時間)

61×10227+119

c224

name 名前Bob Backstrom
date 日付October 12, 2018 15:26:15 UTC 2018 年 10 月 13 日 (土) 0 時 26 分 15 秒 (日本時間)
composite number 合成数
13931998145445492770206536162670923919870455256588578959028505781779230359879499635712507508433426746238931484260267996829899438380599349992348820690615999872099689156565968011218684408266927948730246824760586605639946921371<224>
prime factors 素因数
588110947367741230501339445831522220976520643245285107811099<60>
4866958708839522217599304802426651845313999652711061524045131<61>
4867393778175366287870682275780215453989287811285848181937555701956244102673621398113960646698812293859<103>
factorization results 素因数分解の結果
Number: n
N=13931998145445492770206536162670923919870455256588578959028505781779230359879499635712507508433426746238931484260267996829899438380599349992348820690615999872099689156565968011218684408266927948730246824760586605639946921371
  ( 224 digits)
SNFS difficulty: 229 digits.
Divisors found:

Sat Oct 13 01:29:32 2018  found factor: 4866958708839522217599304802426651845313999652711061524045131
Sat Oct 13 02:22:22 2018  p60 factor: 588110947367741230501339445831522220976520643245285107811099
Sat Oct 13 02:22:22 2018  p61 factor: 4866958708839522217599304802426651845313999652711061524045131
Sat Oct 13 02:22:22 2018  p103 factor: 4867393778175366287870682275780215453989287811285848181937555701956244102673621398113960646698812293859
Sat Oct 13 02:22:22 2018  elapsed time 31:32:06 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.775).
Factorization parameters were as follows:
#
# N = 61x10^227+11 = 67(226)9
#
n: 13931998145445492770206536162670923919870455256588578959028505781779230359879499635712507508433426746238931484260267996829899438380599349992348820690615999872099689156565968011218684408266927948730246824760586605639946921371
m: 100000000000000000000000000000000000000
deg: 6
c6: 61
c0: 110
skew: 1.10
# Murphy_E = 9.19e-13
type: snfs
lss: 1
rlim: 47000000
alim: 47000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 47000000/47000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 113900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 18650324 hash collisions in 102498018 relations (85761879 unique)
Msieve: matrix is 7485812 x 7486037 (2644.0 MB)

Sieving start time: 2018/10/09 05:32:25
Sieving end time  : 2018/10/11 18:46:47

Total sieving time: 61hrs 14min 22secs.

Total relation processing time: 29hrs 9min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 17min 5sec.

Prototype def-par.txt line would be:
snfs,229,6,0,0,0,0,0,0,0,0,47000000,47000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.076570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.19 BogoMIPS (lpj=11978392)
[    0.074211] smpboot: Total of 16 processors activated (95827.13 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:43:40 UTC 2012 年 12 月 17 日 (月) 22 時 43 分 40 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:26:34 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 34 秒 (日本時間)
4511e63550600Dmitry DomanovDecember 25, 2012 09:26:34 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 34 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:48 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 48 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:43 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 43 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:28 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 28 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:54 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 54 秒 (日本時間)
5043e6184 / 6710KTakahashiOctober 7, 2014 01:01:22 UTC 2014 年 10 月 7 日 (火) 10 時 1 分 22 秒 (日本時間)

61×10228+119

c196

composite cofactor 合成数の残り
3548179885890212006954133901591751383686806507693592207983645833961910726694548789260159205918232043485182656489725205765445333860580107535353672557250962344585513745815627866135366673268531013311<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:43:51 UTC 2012 年 12 月 17 日 (月) 22 時 43 分 51 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:26:43 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 43 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:26:43 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 43 秒 (日本時間)

61×10229+119

c213

composite cofactor 合成数の残り
110031805825190544093659920181584226151450517751563104454149292545966542050424199799254609004807961505618589764904180635560927712762906294655292596416458035129341022758383783470777796345772760651391835776446238869<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:43:58 UTC 2012 年 12 月 17 日 (月) 22 時 43 分 58 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:26:52 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 52 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:26:52 UTC 2012 年 12 月 25 日 (火) 18 時 26 分 52 秒 (日本時間)

61×10230+119

c218

composite cofactor 合成数の残り
13933725980934497605028330429597691459393397960361615778713440355856199386439744609833045057557553714135204815363675374787221278652215208038890629078837890095706987873576891830528081245788623129570069915514656493023099<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:44:07 UTC 2012 年 12 月 17 日 (月) 22 時 44 分 7 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:27:02 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 2 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:27:02 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 2 秒 (日本時間)

61×10231+119

c200

name 名前Dmitry Domanov
date 日付December 24, 2012 06:05:05 UTC 2012 年 12 月 24 日 (月) 15 時 5 分 5 秒 (日本時間)
composite number 合成数
15141834087783311663716208227825304214557213067319333175908807602319156547980540014695621768612428704715766286680412203554797511235309513833796764077006359313689793792998668718425793135474442302867657<200>
prime factors 素因数
100193144361587448148299908414582742863856317971<48>
composite cofactor 合成数の残り
151126448663372463327553726070740802728005610783850890818119321574842668627258842892473334779135823066653294005369903200266499064514284798680439764111667<153>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2456729337
Step 1 took 142907ms
Step 2 took 43857ms
********** Factor found in step 2: 100193144361587448148299908414582742863856317971
Found probable prime factor of 48 digits: 100193144361587448148299908414582742863856317971

c153

name 名前yoyo
date 日付June 7, 2020 08:50:55 UTC 2020 年 6 月 7 日 (日) 17 時 50 分 55 秒 (日本時間)
composite number 合成数
151126448663372463327553726070740802728005610783850890818119321574842668627258842892473334779135823066653294005369903200266499064514284798680439764111667<153>
prime factors 素因数
3956006774154771670138137618432231880594571<43>
38201766905634705078829273323050503947779823196954974789356969266337694903020508148310411057624011518355030777<110>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/core2/params.h
Running on P3D-Rome
Input number is 151126448663372463327553726070740802728005610783850890818119321574842668627258842892473334779135823066653294005369903200266499064514284798680439764111667 (153 digits)
[Sun Jun  7 04:43:40 2020]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:8013894436204081004
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 144671ms
Using 19 small primes for NTT
Estimated memory usage: 212.58MB
Initializing tables of differences for F took 51ms
Computing roots of F took 2538ms
Building F from its roots took 2351ms
Computing 1/F took 1140ms
Initializing table of differences for G took 67ms
Computing roots of G took 2054ms
Building G from its roots took 2679ms
Computing roots of G took 1998ms
Building G from its roots took 2447ms
Computing G * H took 526ms
Reducing  G * H mod F took 575ms
Computing roots of G took 1985ms
Building G from its roots took 2425ms
Computing G * H took 525ms
Reducing  G * H mod F took 570ms
Computing roots of G took 1992ms
Building G from its roots took 2434ms
Computing G * H took 526ms
Reducing  G * H mod F took 652ms
Computing roots of G took 2303ms
Building G from its roots took 2534ms
Computing G * H took 527ms
Reducing  G * H mod F took 588ms
Computing polyeval(F,G) took 4764ms
Computing product of all F(g_i) took 22ms
Step 2 took 38497ms
********** Factor found in step 2: 3956006774154771670138137618432231880594571
Found prime factor of 43 digits: 3956006774154771670138137618432231880594571
Prime cofactor 38201766905634705078829273323050503947779823196954974789356969266337694903020508148310411057624011518355030777 has 110 digits
Peak memory usage: 302MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:44:13 UTC 2012 年 12 月 17 日 (月) 22 時 44 分 13 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:27:12 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 12 秒 (日本時間)
4511e64198600Dmitry DomanovDecember 25, 2012 09:27:12 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 12 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:30 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 30 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:26 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 26 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:29 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 29 秒 (日本時間)
1448Ignacio SantosJanuary 17, 2016 21:30:38 UTC 2016 年 1 月 18 日 (月) 6 時 30 分 38 秒 (日本時間)

61×10233+119

c233

composite cofactor 合成数の残り
35672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883041<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:44:27 UTC 2012 年 12 月 17 日 (月) 22 時 44 分 27 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:27:24 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 24 秒 (日本時間)
4511e63550600Dmitry DomanovDecember 25, 2012 09:27:24 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 24 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:41 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 41 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:23 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 23 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:28 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 28 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:10 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 10 秒 (日本時間)
5043e6184 / 6710KTakahashiOctober 7, 2014 01:01:42 UTC 2014 年 10 月 7 日 (火) 10 時 1 分 42 秒 (日本時間)

61×10236+119

c176

name 名前Warut Roonguthai
date 日付December 17, 2012 04:19:44 UTC 2012 年 12 月 17 日 (月) 13 時 19 分 44 秒 (日本時間)
composite number 合成数
37111178729657839544019706911123426365793015749329814985874010974539736389675874042327366211057937815815995788357403856115031024543736203580402958472127639319510029484724373633<176>
prime factors 素因数
33534375112705054503621022131234744461<38>
composite cofactor 合成数の残り
1106660810136809546041314063051460080548056157623655326060171331478684360866549328063022786813220572785088653757189070364929043382372525253<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=652116759
Step 1 took 8643ms
Step 2 took 5241ms
********** Factor found in step 2: 33534375112705054503621022131234744461
Found probable prime factor of 38 digits: 33534375112705054503621022131234744461
Composite cofactor 1106660810136809546041314063051460080548056157623655326060171331478684360866549328063022786813220572785088653757189070364929043382372525253 has 139 digits
software ソフトウェア
GMP-ECM 6.3

c139

name 名前Dmitry Domanov
date 日付December 24, 2012 06:03:24 UTC 2012 年 12 月 24 日 (月) 15 時 3 分 24 秒 (日本時間)
composite number 合成数
1106660810136809546041314063051460080548056157623655326060171331478684360866549328063022786813220572785088653757189070364929043382372525253<139>
prime factors 素因数
407889888614662174724670777072672421741217<42>
448530353206879779993753165517710710045897<42>
6048946633157553971465591041519111274514011131145484797<55>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2949326701
Step 1 took 86348ms
Step 2 took 29935ms
********** Factor found in step 2: 407889888614662174724670777072672421741217
Found probable prime factor of 42 digits: 407889888614662174724670777072672421741217

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1964715185
Step 1 took 60946ms
Step 2 took 22268ms
********** Factor found in step 2: 448530353206879779993753165517710710045897
Found probable prime factor of 42 digits: 448530353206879779993753165517710710045897

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e62118118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
2000Warut RoonguthaiDecember 17, 2012 13:39:15 UTC 2012 年 12 月 17 日 (月) 22 時 39 分 15 秒 (日本時間)

61×10237+119

c170

name 名前Dmitry Domanov
date 日付December 20, 2012 08:16:37 UTC 2012 年 12 月 20 日 (木) 17 時 16 分 37 秒 (日本時間)
composite number 合成数
53681239170272959597928398303484538927598522540504160076575082757915022733659334757874932757229467440136771511143497340396048945636065019313159160410306931378694942656597<170>
prime factors 素因数
1138329105929654096300943073873764073870651<43>
composite cofactor 合成数の残り
47157925498559927434287528478585096442845825451439093983712566378106103100324569464255928835668958910644290229293075487132336047<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3715738903
Step 1 took 28597ms
Step 2 took 10815ms
********** Factor found in step 2: 1138329105929654096300943073873764073870651
Found probable prime factor of 43 digits: 1138329105929654096300943073873764073870651

c128

name 名前Warut Roonguthai
date 日付December 23, 2012 08:51:10 UTC 2012 年 12 月 23 日 (日) 17 時 51 分 10 秒 (日本時間)
composite number 合成数
47157925498559927434287528478585096442845825451439093983712566378106103100324569464255928835668958910644290229293075487132336047<128>
prime factors 素因数
25234464978543525180190361267501707084264887168707<50>
1868790384050447721129350050041502071065560534729881880260651390140737339667621<79>
factorization results 素因数分解の結果
N = 47157925498559927434287528478585096442845825451439093983712566378106103100324569464255928835668958910644290229293075487132336047 (128 digits)
Divisors found:
r1=25234464978543525180190361267501707084264887168707 (pp50)
r2=1868790384050447721129350050041502071065560534729881880260651390140737339667621 (pp79)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 20.94 hours.
Factorization parameters were as follows:
n: 47157925498559927434287528478585096442845825451439093983712566378106103100324569464255928835668958910644290229293075487132336047
Y0: -5650929563436828976161661
Y1: 72475693364101
c0: 514535672086805736582490121184
c1: 78598251255829615575043254
c2: 1857063832448344542673
c3: 1497212669838188
c4: -15278774936
c5: 8184
skew: 303568.17 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19345497
Relations: 2265794 relations
Pruned matrix : 1267284 x 1267517
Polynomial selection time: 0.00 hours.
Total sieving time: 19.57 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.20 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 20.94 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:44:52 UTC 2012 年 12 月 17 日 (月) 22 時 44 分 52 秒 (日本時間)

61×10238+119

c219

name 名前Dmitry Domanov
date 日付December 24, 2012 06:04:06 UTC 2012 年 12 月 24 日 (月) 15 時 4 分 6 秒 (日本時間)
composite number 合成数
522780043598137971001806226635856798771156724617116247162124162289985792049471252497370317547425338400570492735610864021059460084455739829014452624387420219368365610807945182802812070994057092128535984581042197139665331<219>
prime factors 素因数
25254006957095907582758770422424146915250171<44>
20700875092269128977365374210547739842178619089669553868148875898304737943335579453290147819764646622547565551002871351016583373180801728807460117686463631139481787940212481961<176>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1312711213
Step 1 took 167658ms
Step 2 took 48792ms
********** Factor found in step 2: 25254006957095907582758770422424146915250171
Found probable prime factor of 44 digits: 25254006957095907582758770422424146915250171

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:44:59 UTC 2012 年 12 月 17 日 (月) 22 時 44 分 59 秒 (日本時間)

61×10240+119

c190

composite cofactor 合成数の残り
1486128324982628081437877950325947964826694722979512003006845781199215460619935918420033913773250548433117219700583351429153559854478623217382458059148856857010141171919265193069035008402757<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:45:14 UTC 2012 年 12 月 17 日 (月) 22 時 45 分 14 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:27:39 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 39 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:27:39 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 39 秒 (日本時間)

61×10243+119

c214

composite cofactor 合成数の残り
8743634738069440527409388105042792761253591174190226370812875143695333442662939507646651565431335859375268408675343897405937421392525610905382584683575181291561476473367052557938328393375960819483644117819129109821<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:45:23 UTC 2012 年 12 月 17 日 (月) 22 時 45 分 23 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:27:48 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 48 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:27:48 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 48 秒 (日本時間)

61×10244+119

c238

composite cofactor 合成数の残り
3506560829923159812780233491308497489673221469329121275458271141459072948209366951778229595266483188458048106944908704475635705418837335604021169901017778131193121751016901203562622114903065753367377670162000753473695444833195574354630557<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:45:31 UTC 2012 年 12 月 17 日 (月) 22 時 45 分 31 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:27:58 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 58 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:27:58 UTC 2012 年 12 月 25 日 (火) 18 時 27 分 58 秒 (日本時間)

61×10245+119

c233

composite cofactor 合成数の残り
13635654626798656679368502039624247934328048449191040397357202581322918481130848972972672091933792249752734203018844630267266423564092552298786249900284952376794737171212429468802973759420561995295344342249704101174065353553361515027<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:45:55 UTC 2012 年 12 月 17 日 (月) 22 時 45 分 55 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:28:10 UTC 2012 年 12 月 25 日 (火) 18 時 28 分 10 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:28:10 UTC 2012 年 12 月 25 日 (火) 18 時 28 分 10 秒 (日本時間)

61×10246+119

c217

composite cofactor 合成数の残り
7813645297088999124744427883808722631733509839452928888100430143345174601984077317205596890971107932141002455541521970265179235616900806728080821755447124660582971627293012510034910985953698731672694493552196332430011<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 17, 2012 13:46:03 UTC 2012 年 12 月 17 日 (月) 22 時 46 分 3 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 09:28:20 UTC 2012 年 12 月 25 日 (火) 18 時 28 分 20 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovDecember 25, 2012 09:28:20 UTC 2012 年 12 月 25 日 (火) 18 時 28 分 20 秒 (日本時間)

61×10248+119

c220

name 名前Warut Roonguthai
date 日付December 15, 2012 15:27:38 UTC 2012 年 12 月 16 日 (日) 0 時 27 分 38 秒 (日本時間)
composite number 合成数
1356206975071608053172183373196112361200487044118556514338928894526219708935360738560580365009387194429503847608244784187731714514415733687891613672181431997690097686075872089383752499111043026572446838742459299743173897<220>
prime factors 素因数
21078870988822503798472645713278989<35>
64339640191866259678917584671330891789756091613590102279075158539043336853925678117472714039895254587434207104325782578874545426126300774163423085198574840581823228254707631078011899373<185>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3299178130
Step 1 took 11091ms
Step 2 took 6225ms
********** Factor found in step 2: 21078870988822503798472645713278989
Found probable prime factor of 35 digits: 21078870988822503798472645713278989
Probable prime cofactor 64339640191866259678917584671330891789756091613590102279075158539043336853925678117472714039895254587434207104325782578874545426126300774163423085198574840581823228254707631078011899373 has 185 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 15, 2012 04:00:00 UTC 2012 年 12 月 15 日 (土) 13 時 0 分 0 秒 (日本時間)

61×10251+119

c214

composite cofactor 合成数の残り
3518154840857941775127257262782799563895094162294298052775380505695141400803781819630346324510346009350488118026999921209316879824865138825616188031671636857426233893811672673001794627209696387724814741671932267861<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:31:46 UTC 2021 年 5 月 19 日 (水) 18 時 31 分 46 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 07:00:49 UTC 2022 年 2 月 18 日 (金) 16 時 0 分 49 秒 (日本時間)

61×10252+119

c239

composite cofactor 合成数の残り
12713298013084935630049339897031047314408747171953183819906468754948400729223868265316499922470845752320880645508905214729613392842603989988574457673723277905451747575395729323207361518724469896747491491075586940415596672805290344281239053<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:31:35 UTC 2021 年 5 月 19 日 (水) 18 時 31 分 35 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 09:11:19 UTC 2022 年 2 月 19 日 (土) 18 時 11 分 19 秒 (日本時間)

61×10253+119

c254

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:51:52 UTC 2022 年 4 月 15 日 (金) 9 時 51 分 52 秒 (日本時間)
composite number 合成数
22592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<254>
prime factors 素因数
357486501431618236488554343863567295597041<42>
composite cofactor 合成数の残り
63198449457857960596897912777756584986098277144881355157819401741573966367447183077311438564705832424108452892300760830008070399337962884927419360196428895292912367793954480595411354597080165512003029459334824673<212>
factorization results 素因数分解の結果
Run 345 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3026747815
Step 1 took 22624ms
Step 2 took 5776ms
********** Factor found in step 2: 357486501431618236488554343863567295597041
Found prime factor of 42 digits: 357486501431618236488554343863567295597041
Composite cofactor 63198449457857960596897912777756584986098277144881355157819401741573966367447183077311438564705832424108452892300760830008070399337962884927419360196428895292912367793954480595411354597080165512003029459334824673 has 212 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:32:01 UTC 2021 年 5 月 19 日 (水) 18 時 32 分 1 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 23:10:51 UTC 2022 年 3 月 5 日 (土) 8 時 10 分 51 秒 (日本時間)

61×10254+119

c187

composite cofactor 合成数の残り
2753986117333458268753262100404948600738416112716495254730977943576996307234441908381804251592551722320576464888972532618960410179487331777220147664414552902020565284752899193376307424133<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:31:16 UTC 2021 年 5 月 19 日 (水) 18 時 31 分 16 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 21:23:17 UTC 2022 年 2 月 17 日 (木) 6 時 23 分 17 秒 (日本時間)

61×10255+119

c256

name 名前ivelive
date 日付January 26, 2021 19:24:46 UTC 2021 年 1 月 27 日 (水) 4 時 24 分 46 秒 (日本時間)
composite number 合成数
6777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<256>
prime factors 素因数
1004579509604977306037741012242517213257007<43>
composite cofactor 合成数の残り
6746880374300037872636754265198501294862369325698119215065453915672349214521219932228937114678749259662128596060072353543674936798940180269393085641809778167304536554312369704351441943441964604123329160284552678397<214>
factorization results 素因数分解の結果
prp43 = 1004579509604977306037741012242517213257007 (curve 397 stg2 B1=11000000 sigma=219221693 thread=6)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e60--
4511e64480iveliveJanuary 26, 2021 13:13:51 UTC 2021 年 1 月 26 日 (火) 22 時 13 分 51 秒 (日本時間)

61×10257+119

c171

composite cofactor 合成数の残り
305013952653974007593360633265095157219811179345106863330395846777770833740794037079398341342852148583275658238661013503659874711680418390339832713492827584833379471263033<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosFebruary 27, 2021 09:18:22 UTC 2021 年 2 月 27 日 (土) 18 時 18 分 22 秒 (日本時間)
403e62350Ignacio SantosMarch 1, 2021 20:12:14 UTC 2021 年 3 月 2 日 (火) 5 時 12 分 14 秒 (日本時間)
4511e64480Ignacio SantosMarch 20, 2021 18:59:44 UTC 2021 年 3 月 21 日 (日) 3 時 59 分 44 秒 (日本時間)

61×10259+119

c213

composite cofactor 合成数の残り
831028398265245800684947026570323783167423083737879586874234145145119820623436469136870289532724274515320508563878793000192923844454376947169652647610287594904467966458387313253558085563816829151263905567272275179<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:30:33 UTC 2021 年 5 月 19 日 (水) 18 時 30 分 33 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 15:23:13 UTC 2022 年 2 月 19 日 (土) 0 時 23 分 13 秒 (日本時間)

61×10260+119

c219

composite cofactor 合成数の残り
157454652092871919566057271075821151302908626191391405779423181315597926493285936135020852700589315337337739647275398226481355080543604599338166862885865639277097454580555300930392933443764435394136242395216565632406879<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:30:24 UTC 2021 年 5 月 19 日 (水) 18 時 30 分 24 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 12:47:55 UTC 2022 年 2 月 19 日 (土) 21 時 47 分 55 秒 (日本時間)

61×10261+119

c186

name 名前Marlon Trifunovic
date 日付February 17, 2022 22:36:59 UTC 2022 年 2 月 18 日 (金) 7 時 36 分 59 秒 (日本時間)
composite number 合成数
299990127238532779669224408809465822732780767455029903328212496056682279817595711848493526150095904974342237597923654976421713280889152945326730679461219683442329722145631944806513518331<186>
prime factors 素因数
70059457221949491993180427628170877<35>
composite cofactor 合成数の残り
4281936217235586217954634980074533255831583493137829098524984575771137668582814394154665639037166755448509365673279331785384928291429393484902807334103<151>
factorization results 素因数分解の結果
Run 291 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3245455937
Step 1 took 16580ms
Step 2 took 6892ms
********** Factor found in step 2: 70059457221949491993180427628170877
Found prime factor of 35 digits: 70059457221949491993180427628170877
Composite cofactor 4281936217235586217954634980074533255831583493137829098524984575771137668582814394154665639037166755448509365673279331785384928291429393484902807334103 has 151 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:30:14 UTC 2021 年 5 月 19 日 (水) 18 時 30 分 14 秒 (日本時間)
403e62350Ignacio SantosFebruary 19, 2022 10:56:28 UTC 2022 年 2 月 19 日 (土) 19 時 56 分 28 秒 (日本時間)
4511e64480Ignacio SantosFebruary 20, 2022 15:12:42 UTC 2022 年 2 月 21 日 (月) 0 時 12 分 42 秒 (日本時間)

61×10264+119

c226

composite cofactor 合成数の残り
3301965695020174566340789975737003685888634502222067208134356298127602824547498634939369755212971079327139054205940439867404617860361138298915355386837170026630167949339339630105650738285826920897720137195640320548073129831377<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:29:59 UTC 2021 年 5 月 19 日 (水) 18 時 29 分 59 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 01:42:36 UTC 2022 年 2 月 19 日 (土) 10 時 42 分 36 秒 (日本時間)

61×10265+119

c246

composite cofactor 合成数の残り
116428961123000441307180464067456563453171062698516605469718562517032453079177416279501427827033869374730728586838016627573256551935217856101257798806625889286486575452658027941334621213562013598438033570749931261732479574148391739071106927449071<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:29:43 UTC 2021 年 5 月 19 日 (水) 18 時 29 分 43 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 22:55:24 UTC 2022 年 2 月 21 日 (月) 7 時 55 分 24 秒 (日本時間)

61×10266+119

c136

name 名前ivelive
date 日付January 13, 2021 12:52:29 UTC 2021 年 1 月 13 日 (水) 21 時 52 分 29 秒 (日本時間)
composite number 合成数
3342097979505818058311620075811095179000414400426720064146829886051033006372016564839086618664335957049895700625206179925348605323529423<136>
prime factors 素因数
8912914651156611406363961724317742250553<40>
9365796243242573294030736213792873839851097<43>
40036372820041087126085258799114761243798282823929503<53>
factorization results 素因数分解の結果
01/13/21 02:54:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: previous data file found - commencing search for last special-q
01/13/21 02:54:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: parsing special-q from .dat file
01/13/21 02:54:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c136: 3342097979505818058311620075811095179000414400426720064146829886051033006372016564839086618664335957049895700625206179925348605323529423
01/13/21 02:54:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: resuming with filtering
01/13/21 02:54:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/13/21 02:55:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: previous data file found - commencing search for last special-q
01/13/21 02:55:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: parsing special-q from .dat file
01/13/21 02:55:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c136: 3342097979505818058311620075811095179000414400426720064146829886051033006372016564839086618664335957049895700625206179925348605323529423
01/13/21 02:55:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: resuming with filtering
01/13/21 02:55:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 03:19:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 03:43:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 04:07:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 04:32:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 04:56:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 05:20:20 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 05:43:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 06:07:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 06:32:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 06:56:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 07:20:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 07:45:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 08:08:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 08:32:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 08:55:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 09:20:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 09:44:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 10:09:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 10:33:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 10:58:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 11:22:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 11:46:43 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 12:10:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 12:34:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 12:59:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
01/13/21 13:23:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
01/13/21 13:27:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
01/13/21 14:28:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
01/13/21 14:36:13 v1.34.5 @ DESKTOP-RJPVCOL, prp53 = 40036372820041087126085258799114761243798282823929503
01/13/21 14:36:13 v1.34.5 @ DESKTOP-RJPVCOL, prp43 = 9365796243242573294030736213792873839851097
01/13/21 14:36:13 v1.34.5 @ DESKTOP-RJPVCOL, prp40 = 8912914651156611406363961724317742250553
01/13/21 14:36:13 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 42071.2629 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e4430Ignacio SantosJanuary 11, 2021 14:44:44 UTC 2021 年 1 月 11 日 (月) 23 時 44 分 44 秒 (日本時間)

61×10268+119

c221

composite cofactor 合成数の残り
13860309097068966662917782816274432699488316227352183348661458628422474852815785657034361649954855995908272439955152397083909639675353510543931857767004142437350085377803141796328014396972268410803898055753277332149391401<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:29:29 UTC 2021 年 5 月 19 日 (水) 18 時 29 分 29 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 00:16:25 UTC 2022 年 2 月 20 日 (日) 9 時 16 分 25 秒 (日本時間)

61×10269+119

c253

composite cofactor 合成数の残り
4854249488339920447446026674720531521811583407957291551066410010036763169620380825767918806223724207295961830924821180383443302462277336321421519096664801204082004007131869102006737489006134207140864151776439054428059080343278014632122288343472449046183<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:29:19 UTC 2021 年 5 月 19 日 (水) 18 時 29 分 19 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 14:32:23 UTC 2022 年 3 月 6 日 (日) 23 時 32 分 23 秒 (日本時間)

61×10270+119

c164

composite cofactor 合成数の残り
28312126631047859446279662253081934273787916742539684675320487468484852207415959163125100727746624770871295170957939552566558197649760919736157671598561906300570547<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e4430Ignacio SantosFebruary 24, 2021 18:58:52 UTC 2021 年 2 月 25 日 (木) 3 時 58 分 52 秒 (日本時間)
351e6904Ignacio SantosFebruary 24, 2021 18:58:52 UTC 2021 年 2 月 25 日 (木) 3 時 58 分 52 秒 (日本時間)
403e62350Ignacio SantosFebruary 24, 2021 18:58:52 UTC 2021 年 2 月 25 日 (木) 3 時 58 分 52 秒 (日本時間)
4511e64480Ignacio SantosFebruary 27, 2021 21:27:59 UTC 2021 年 2 月 28 日 (日) 6 時 27 分 59 秒 (日本時間)

61×10271+119

c254

composite cofactor 合成数の残り
10035569617182975797843755501977120649571265205456688135454323292825538296182219912674478958921910113673230974447082381956905167621329679279880175841571960500864518358622202009772880204419125950151368141642045622692423127788411008959247744819672010156349<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:29:00 UTC 2021 年 5 月 19 日 (水) 18 時 29 分 0 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 09:30:14 UTC 2022 年 3 月 5 日 (土) 18 時 30 分 14 秒 (日本時間)

61×10273+119

c259

composite cofactor 合成数の残り
4551238288845280666014057988746910709905647142702176031359596458111837570551359099110705762680588650686055037829140123906505410655835663743092113752973539578834745705341941701874410684351108211382659421995057078777707022460787214967419712329713422537741074437<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:28:48 UTC 2021 年 5 月 19 日 (水) 18 時 28 分 48 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 10:17:56 UTC 2022 年 3 月 5 日 (土) 19 時 17 分 56 秒 (日本時間)

61×10274+119

c247

composite cofactor 合成数の残り
9855806789083398455705262942010371812871349313564466703274812624240288594776272678822267575632227102119375587082971621916887204650004331923975166457057766353181217691426443416984168274030913764274178350751008687334264747008745801980156042525696873<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:28:39 UTC 2021 年 5 月 19 日 (水) 18 時 28 分 39 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 18:04:59 UTC 2022 年 2 月 23 日 (水) 3 時 4 分 59 秒 (日本時間)

61×10275+119

c240

composite cofactor 合成数の残り
205394797988481786446868826311801233989272906438049172641499420340606185207050776406933094796718128419636900294766258866100357767320587435623428713428185831197112058425447598403081456691936197255427526763517764279634683600225894949607213033<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:28:26 UTC 2021 年 5 月 19 日 (水) 18 時 28 分 26 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 21:26:25 UTC 2022 年 2 月 21 日 (月) 6 時 26 分 25 秒 (日本時間)

61×10276+119

c252

composite cofactor 合成数の残り
289104116621875695449729860024409692778949761565541890234592758471830844507932610480123627484640316238145246012959889876077024972059057855171481946411224367723744535208138146547039770072416904705598908937186820003372509691201896586824165276773678371003<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:28:10 UTC 2021 年 5 月 19 日 (水) 18 時 28 分 10 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 07:37:25 UTC 2022 年 3 月 5 日 (土) 16 時 37 分 25 秒 (日本時間)

61×10278+119

c217

composite cofactor 合成数の残り
2420926436452319724341545693800866266113056076114205401205270928850023184692133937947075547671692048577347061419105539466376565376460685676847289826390209157388910015576011374940928181912364462305515902050718858463453<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:27:59 UTC 2021 年 5 月 19 日 (水) 18 時 27 分 59 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 09:37:01 UTC 2022 年 2 月 20 日 (日) 18 時 37 分 1 秒 (日本時間)

61×10279+119

c250

composite cofactor 合成数の残り
4169966025525862565811291012452977505425145624558589570027881342143680603840281533189117712241733538168769612725625579745550425617616325586573116367778555957360387906113743838449781425272413576353932506434968764227208935490238654224057593917617977149<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:27:33 UTC 2021 年 5 月 19 日 (水) 18 時 27 分 33 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 3, 2022 09:07:32 UTC 2022 年 3 月 3 日 (木) 18 時 7 分 32 秒 (日本時間)

61×10280+119

c203

composite cofactor 合成数の残り
13047764831072385849365556657840977770644462274885050174834173586397043879398355835461511819819732284337085358996527330962586028688356814572534319956479068342666169128740811127282727547731796124170607223<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:27:18 UTC 2021 年 5 月 19 日 (水) 18 時 27 分 18 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 12:41:45 UTC 2022 年 2 月 20 日 (日) 21 時 41 分 45 秒 (日本時間)

61×10281+119

c232

composite cofactor 合成数の残り
1953974547189360718844420713019189747400806181899904007806914213559902560119183285549000709709112546173333980045190103829014210096142421645763225091839379504875272638486478111064096947416633804340882245519602797416945397888169423013<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:27:09 UTC 2021 年 5 月 19 日 (水) 18 時 27 分 9 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 18:10:20 UTC 2022 年 2 月 24 日 (木) 3 時 10 分 20 秒 (日本時間)

61×10282+119

c248

composite cofactor 合成数の残り
12348757430828781320989821925751234678859306205126461332051574937247230156450021744925741708870180029041789374549455381817095689613642792028396691126181385606274302919023456302114702940443410133792877804512176865684102782830277534288917212327121759<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:27:00 UTC 2021 年 5 月 19 日 (水) 18 時 27 分 0 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 17:47:43 UTC 2022 年 2 月 23 日 (水) 2 時 47 分 43 秒 (日本時間)

61×10283+119

c211

composite cofactor 合成数の残り
6591239154030609503125568430713937834823097193176380431658336852238273494850573750227422010315152479170352974129316172498929108281089423511669953880204576043258900387756638437856087607111654375111714761429810243<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:26:48 UTC 2021 年 5 月 19 日 (水) 18 時 26 分 48 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 12:53:52 UTC 2022 年 2 月 20 日 (日) 21 時 53 分 52 秒 (日本時間)

61×10285+119

c236

composite cofactor 合成数の残り
12827494712911490667691229305175452221551776000170554914906256687949829313595289590357831631581428642428596640980303954412128884066442076818012148987248745079666812085268473431311470645225268965972592488490886518293396294774808916661107<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:26:35 UTC 2021 年 5 月 19 日 (水) 18 時 26 分 35 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 13:03:07 UTC 2022 年 2 月 20 日 (日) 22 時 3 分 7 秒 (日本時間)

61×10286+119

c268

composite cofactor 合成数の残り
4553520648092318886070341390738647556947078433043695711192765011360694149920112798780825681329555374506833511266185398533321503794423480371471523901561771947024806199131344897976602720896617709952431742759507592906981569963782378409293941499941540586694101643413980231<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:26:23 UTC 2021 年 5 月 19 日 (水) 18 時 26 分 23 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 06:58:10 UTC 2022 年 3 月 6 日 (日) 15 時 58 分 10 秒 (日本時間)

61×10288+119

c285

composite cofactor 合成数の残り
199575329871846464408520885067512080850910685132292269891280521120631835864013950642730713988921933328752915926438496445268919577685515084296038920461051729271157438761455133175636105467382520472829945460315590759335054261587638107764134677358669585046900202519883919136002407990865339<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:26:14 UTC 2021 年 5 月 19 日 (水) 18 時 26 分 14 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 04:45:17 UTC 2022 年 3 月 9 日 (水) 13 時 45 分 17 秒 (日本時間)

61×10289+119

c263

composite cofactor 合成数の残り
37137756785038355552315782021212156160297323668874434062355270094573669343602275113750939699863230515953286450438469080037733875912619227170730976941578325535664095634523553748222397505409892992704062748115527907678046303216798020544168055325783848024890747011549<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:26:01 UTC 2021 年 5 月 19 日 (水) 18 時 26 分 1 秒 (日本時間)
403e62023Marlon TrifunovicFebruary 15, 2022 23:59:01 UTC 2022 年 2 月 16 日 (水) 8 時 59 分 1 秒 (日本時間)

61×10290+119

c253

composite cofactor 合成数の残り
2159291793444038925779510220873689412211847743746114507034747722638316548369873419164752962016139753643698304195641219454481851520493624789934116584554805828348921887641115347323011680552577667424436714110684947679632236026840853682227739667181390857803<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:25:46 UTC 2021 年 5 月 19 日 (水) 18 時 25 分 46 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 1, 2022 18:08:01 UTC 2022 年 3 月 2 日 (水) 3 時 8 分 1 秒 (日本時間)

61×10291+119

c239

composite cofactor 合成数の残り
82835942675574077670615075227104794772540387812261397163687563485640680049399271327606451152708596506433577071933614791827458399966702829273713119094861885426070934131079116293397340266564286280881184082854033015361780546893927715432458901<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:25:35 UTC 2021 年 5 月 19 日 (水) 18 時 25 分 35 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 20:34:28 UTC 2022 年 2 月 24 日 (木) 5 時 34 分 28 秒 (日本時間)

61×10292+119

c200

composite cofactor 合成数の残り
62119913949524531399216294852431854211790631550321837211283128928126498466975367838718852685446599964723945373379667968689168077363234178802333308072757912697260907302997826478950496294930293516705387<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovJanuary 14, 2021 15:22:38 UTC 2021 年 1 月 15 日 (金) 0 時 22 分 38 秒 (日本時間)
2350Ignacio SantosMarch 5, 2021 16:58:09 UTC 2021 年 3 月 6 日 (土) 1 時 58 分 9 秒 (日本時間)
4511e64480Ignacio SantosApril 15, 2021 18:36:33 UTC 2021 年 4 月 16 日 (金) 3 時 36 分 33 秒 (日本時間)
5043e67000SyjApril 22, 2022 10:32:21 UTC 2022 年 4 月 22 日 (金) 19 時 32 分 21 秒 (日本時間)

61×10294+119

c290

composite cofactor 合成数の残り
14313634252855276721267315097763295195710790438773898782895253997786314335386283924779740153568870051207613163944377686592888094834162468196160613993900514610348851424711105104077719748896618251385430738318373239041681068294572715725826794231652326047693498629997482208269948571816078716541<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:25:17 UTC 2021 年 5 月 19 日 (水) 18 時 25 分 17 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 11, 2022 00:22:26 UTC 2022 年 3 月 11 日 (金) 9 時 22 分 26 秒 (日本時間)

61×10296+119

c293

name 名前Eric Jeancolas
date 日付May 17, 2021 19:15:20 UTC 2021 年 5 月 18 日 (火) 4 時 15 分 20 秒 (日本時間)
composite number 合成数
15009362397364257540974329069198081754274592594232960067714369373026945496330087866283804897973243966113288698934335269787137714590822636086936195446503925809459835192279774515086869760563761493849852243899678405956502375662195845113222264051592837827530123298221267528351701348136009428832247<293>
prime factors 素因数
33677969885556579582923295603324704803<38>
composite cofactor 合成数の残り
445673015575719137200155729834137960129119458316628875323573066162155583677452387581135926778944392014460328354021304289993864993498221730401263709227164101847863983183638159627816675680959334879127929873499731306924067478559740463748226598601406365752349<255>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 15009362397364257540974329069198081754274592594232960067714369373026945496330087866283804897973243966113288698934335269787137714590822636086936195446503925809459835192279774515086869760563761493849852243899678405956502375662195845113222264051592837827530123298221267528351701348136009428832247 (293 digits)
Run 681 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1243363623
Step 1 took 6459ms
Step 2 took 3007ms
********** Factor found in step 2: 33677969885556579582923295603324704803
Found prime factor of 38 digits: 33677969885556579582923295603324704803
Composite cofactor 445673015575719137200155729834137960129119458316628875323573066162155583677452387581135926778944392014460328354021304289993864993498221730401263709227164101847863983183638159627816675680959334879127929873499731306924067478559740463748226598601406365752349 has 255 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200681Eric JeancolasMay 17, 2021 19:13:39 UTC 2021 年 5 月 18 日 (火) 4 時 13 分 39 秒 (日本時間)
519Eric JeancolasMay 19, 2021 09:24:10 UTC 2021 年 5 月 19 日 (水) 18 時 24 分 10 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 01:22:28 UTC 2022 年 2 月 17 日 (木) 10 時 22 分 28 秒 (日本時間)

61×10297+119

c295

composite cofactor 合成数の残り
5307578526059340468111024101627077351431306012355346732793874532324023318541721047594187766466544853389019403114939528408596537022535456364743757069520577742973984164273905855738275472026450883146262942660750021752371008439919951274688941094579309144696771948142347515879230836161141564430522927<295>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:24:27 UTC 2021 年 5 月 19 日 (水) 18 時 24 分 27 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 10, 2022 23:09:14 UTC 2022 年 3 月 11 日 (金) 8 時 9 分 14 秒 (日本時間)

61×10298+119

c294

composite cofactor 合成数の残り
961018869054089607920055833620851273665089650456956595031374902913462614002832642502556152647606984244016869819753821625445258947321987008915419311437857526589501577803930094542200544157241592266476353421778578101688399872074209561980203011297485754076846849827410463762499153200586694142353677<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:24:50 UTC 2021 年 5 月 19 日 (水) 18 時 24 分 50 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 10, 2022 22:12:23 UTC 2022 年 3 月 11 日 (金) 7 時 12 分 23 秒 (日本時間)

61×10299+119

c296

composite cofactor 合成数の残り
12013715330091599655738124639342357406061608695566545150890295084420968463012527744789297158263959050955878153354091457854507998968002158529836357441511916226984380200609351397234482120243504223510250062530403562362014601587779885101614367615750177743903039469978513174712901745533753616423733587<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:24:59 UTC 2021 年 5 月 19 日 (水) 18 時 24 分 59 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 10, 2022 21:46:43 UTC 2022 年 3 月 11 日 (金) 6 時 46 分 43 秒 (日本時間)

61×10300+119

c260

composite cofactor 合成数の残り
33568117109060635135454860572841195795070127306723367992905452872727261542170745189823572426929213114153846098396919180978835561558155197100555045179945758446083817941056064540189610776739070373987038935725402614370432010711154725069051370290185371057542521703<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 21, 2021 11:37:10 UTC 2021 年 1 月 21 日 (木) 20 時 37 分 10 秒 (日本時間)
4511e62000Dmitry DomanovApril 12, 2021 09:26:07 UTC 2021 年 4 月 12 日 (月) 18 時 26 分 7 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovMay 12, 2021 09:25:41 UTC 2021 年 5 月 12 日 (水) 18 時 25 分 41 秒 (日本時間)