Table of contents 目次

41×10103+49

c94

name 名前Dmitry Domanov
date 日付June 29, 2022 18:42:18 UTC 2022 年 6 月 30 日 (木) 3 時 42 分 18 秒 (日本時間)
composite number 合成数
4455319661536257366607924824337895998075865580219954399923231808267707112590280194465411819903<94>
prime factors 素因数
3417953067185717324416177713865416718391999<43>
1303505219047577362467009294900503968671588240204097<52>
factorization results 素因数分解の結果
N=4455319661536257366607924824337895998075865580219954399923231808267707112590280194465411819903
  ( 94 digits)
SNFS difficulty: 104 digits.
Divisors found:
p43 factor: 3417953067185717324416177713865416718391999
p52 factor: 1303505219047577362467009294900503968671588240204097
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.08 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4455319661536257366607924824337895998075865580219954399923231808267707112590280194465411819903
m: 50000000000000000000000000
deg: 4
c4: 82
c0: 5
skew: 0.50
# Murphy_E = 2.237e-07
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2

Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [195000, 295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 33144 x 33371
Total sieving time: 0.08 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,104.000,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,10000
total time: 0.08 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10107+49

c95

name 名前Dmitry Domanov
date 日付June 29, 2022 18:53:43 UTC 2022 年 6 月 30 日 (木) 3 時 53 分 43 秒 (日本時間)
composite number 合成数
43051912891317884976039259495232343943176936808365302823603053486864392735597149782856971915873<95>
prime factors 素因数
7892845617844677953875444319125085918265791569<46>
5454548964442331840612851422664042037485047916817<49>
factorization results 素因数分解の結果
N=43051912891317884976039259495232343943176936808365302823603053486864392735597149782856971915873
  ( 95 digits)
SNFS difficulty: 108 digits.
Divisors found:
p46 factor: 7892845617844677953875444319125085918265791569
p49 factor: 5454548964442331840612851422664042037485047916817
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.13 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 43051912891317884976039259495232343943176936808365302823603053486864392735597149782856971915873
m: 500000000000000000000000000
deg: 4
c4: 82
c0: 5
skew: 0.50
# Murphy_E = 1.474e-07
type: snfs
lss: 1
rlim: 450000
alim: 450000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 385001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 38753 x 38978
Total sieving time: 0.13 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,108.000,4,0,0,0,0,0,0,0,0,450000,450000,25,25,44,44,2.2,2.2,20000
total time: 0.13 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10111+49

c104

name 名前Dmitry Domanov
date 日付June 29, 2022 19:14:49 UTC 2022 年 6 月 30 日 (木) 4 時 14 分 49 秒 (日本時間)
composite number 合成数
45584640379503293837155414196029190019955888210469363428197282549713574804824025476770754367672305193161<104>
prime factors 素因数
1617152221723254973081050509202231308209121848214701<52>
28188218627265530950094595993906850501861206743016461<53>
factorization results 素因数分解の結果
N=45584640379503293837155414196029190019955888210469363428197282549713574804824025476770754367672305193161
  ( 104 digits)
SNFS difficulty: 112 digits.
Divisors found:
p52 factor: 1617152221723254973081050509202231308209121848214701
p53 factor: 28188218627265530950094595993906850501861206743016461
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.19 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 45584640379503293837155414196029190019955888210469363428197282549713574804824025476770754367672305193161
m: 5000000000000000000000000000
deg: 4
c4: 82
c0: 5
skew: 0.50
# Murphy_E = 9.65e-08
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 485001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51905 x 52133
Total sieving time: 0.18 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,112.000,4,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,20000
total time: 0.19 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10112+49

c86

name 名前Eric Jeancolas
date 日付June 29, 2022 16:57:26 UTC 2022 年 6 月 30 日 (木) 1 時 57 分 26 秒 (日本時間)
composite number 合成数
81379571400626069239486156041070947189914174957571124221773560237300893006488031656557<86>
prime factors 素因数
479358747247649125606658556919713985331<39>
169767573592608873543539429423041935030667566047<48>
factorization results 素因数分解の結果
Wed Jun 29 18:23:11 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 18:23:11 2022  random seeds: 3820ab00 c441557e
Wed Jun 29 18:23:11 2022  factoring 81379571400626069239486156041070947189914174957571124221773560237300893006488031656557 (86 digits)
Wed Jun 29 18:23:11 2022  searching for 15-digit factors
Wed Jun 29 18:23:11 2022  commencing quadratic sieve (86-digit input)
Wed Jun 29 18:23:11 2022  using multiplier of 13
Wed Jun 29 18:23:11 2022  using generic 32kb sieve core
Wed Jun 29 18:23:11 2022  sieve interval: 17 blocks of size 32768
Wed Jun 29 18:23:11 2022  processing polynomials in batches of 12
Wed Jun 29 18:23:11 2022  using a sieve bound of 1468163 (56000 primes)
Wed Jun 29 18:23:11 2022  using large prime bound of 117453040 (26 bits)
Wed Jun 29 18:23:11 2022  using double large prime bound of 335548771103040 (41-49 bits)
Wed Jun 29 18:23:11 2022  using trial factoring cutoff of 49 bits
Wed Jun 29 18:23:11 2022  polynomial 'A' values have 11 factors
Wed Jun 29 18:48:59 2022  56542 relations (16838 full + 39704 combined from 576440 partial), need 56096
Wed Jun 29 18:49:00 2022  begin with 593278 relations
Wed Jun 29 18:49:00 2022  reduce to 131447 relations in 11 passes
Wed Jun 29 18:49:00 2022  attempting to read 131447 relations
Wed Jun 29 18:49:02 2022  recovered 131447 relations
Wed Jun 29 18:49:02 2022  recovered 106811 polynomials
Wed Jun 29 18:49:02 2022  attempting to build 56542 cycles
Wed Jun 29 18:49:02 2022  found 56542 cycles in 6 passes
Wed Jun 29 18:49:02 2022  distribution of cycle lengths:
Wed Jun 29 18:49:02 2022     length 1 : 16838
Wed Jun 29 18:49:02 2022     length 2 : 11682
Wed Jun 29 18:49:02 2022     length 3 : 9904
Wed Jun 29 18:49:02 2022     length 4 : 7106
Wed Jun 29 18:49:02 2022     length 5 : 4803
Wed Jun 29 18:49:02 2022     length 6 : 2883
Wed Jun 29 18:49:02 2022     length 7 : 1592
Wed Jun 29 18:49:02 2022     length 9+: 1734
Wed Jun 29 18:49:02 2022  largest cycle: 17 relations
Wed Jun 29 18:49:02 2022  matrix is 56000 x 56542 (13.6 MB) with weight 3101114 (54.85/col)
Wed Jun 29 18:49:02 2022  sparse part has weight 3101114 (54.85/col)
Wed Jun 29 18:49:03 2022  filtering completed in 3 passes
Wed Jun 29 18:49:03 2022  matrix is 50549 x 50612 (12.2 MB) with weight 2786831 (55.06/col)
Wed Jun 29 18:49:03 2022  sparse part has weight 2786831 (55.06/col)
Wed Jun 29 18:49:03 2022  saving the first 48 matrix rows for later
Wed Jun 29 18:49:03 2022  matrix includes 64 packed rows
Wed Jun 29 18:49:03 2022  matrix is 50501 x 50612 (8.2 MB) with weight 2186733 (43.21/col)
Wed Jun 29 18:49:03 2022  sparse part has weight 1633105 (32.27/col)
Wed Jun 29 18:49:03 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 29 18:49:03 2022  commencing Lanczos iteration
Wed Jun 29 18:49:03 2022  memory use: 4.9 MB
Wed Jun 29 18:49:14 2022  lanczos halted after 801 iterations (dim = 50499)
Wed Jun 29 18:49:14 2022  recovered 16 nontrivial dependencies
Wed Jun 29 18:49:15 2022  p39 factor: 479358747247649125606658556919713985331
Wed Jun 29 18:49:15 2022  p48 factor: 169767573592608873543539429423041935030667566047
Wed Jun 29 18:49:15 2022  elapsed time 00:26:04
software ソフトウェア
Msieve v. 1.53
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10113+49

c97

name 名前Dmitry Domanov
date 日付June 29, 2022 22:01:53 UTC 2022 年 6 月 30 日 (木) 7 時 1 分 53 秒 (日本時間)
composite number 合成数
3552673072803076765180190749009886823535364210911089704382215636693821752767699945451261540839941<97>
prime factors 素因数
6653440418580573638323040552195568565297<40>
533960304639053805140096795681689949796486878895865733653<57>
factorization results 素因数分解の結果
N=3552673072803076765180190749009886823535364210911089704382215636693821752767699945451261540839941
  ( 97 digits)
SNFS difficulty: 114 digits.
Divisors found:
p40 factor: 6653440418580573638323040552195568565297
p57 factor: 533960304639053805140096795681689949796486878895865733653
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3552673072803076765180190749009886823535364210911089704382215636693821752767699945451261540839941
m: 10000000000000000000000000000
deg: 4
c4: 205
c0: 2
skew: 0.31
# Murphy_E = 5.916e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71466 x 71691
Total sieving time: 0.34 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.36 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10120+49

c111

name 名前Ignacio Santos
date 日付June 30, 2022 13:15:32 UTC 2022 年 6 月 30 日 (木) 22 時 15 分 32 秒 (日本時間)
composite number 合成数
107277720963826438087526462506666364351559996750342439274240063685326739004940487812871590653286339027145167507<111>
prime factors 素因数
5655550526560895055850735416777794482029774093835121<52>
18968572636740520825298901504294398483756759466297916646467<59>
factorization results 素因数分解の結果
N=107277720963826438087526462506666364351559996750342439274240063685326739004940487812871590653286339027145167507
  ( 111 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=5655550526560895055850735416777794482029774093835121 (pp52)
 r2=18968572636740520825298901504294398483756759466297916646467 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.82 hours.
Scaled time: 6.29 units (timescale=7.634).
Factorization parameters were as follows:
n: 107277720963826438087526462506666364351559996750342439274240063685326739004940487812871590653286339027145167507
m: 1000000000000000000000000000000
deg: 4
c4: 41
c0: 4
skew: 0.56
# Murphy_E = 4.15e-08
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 595001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80376 x 80621
Total sieving time: 0.82 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,75000
total time: 0.82 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10127+49

c78

name 名前Eric Jeancolas
date 日付June 29, 2022 14:58:32 UTC 2022 年 6 月 29 日 (水) 23 時 58 分 32 秒 (日本時間)
composite number 合成数
274873174623985224756549439320422709976870670230561130832656408406529775625487<78>
prime factors 素因数
118610053740373850587787778519529879721<39>
2317452576369761315552906201422146726647<40>
factorization results 素因数分解の結果
Wed Jun 29 16:53:28 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 16:53:28 2022  random seeds: a2490280 c41b017d
Wed Jun 29 16:53:28 2022  factoring 274873174623985224756549439320422709976870670230561130832656408406529775625487 (78 digits)
Wed Jun 29 16:53:28 2022  searching for 15-digit factors
Wed Jun 29 16:53:28 2022  commencing quadratic sieve (78-digit input)
Wed Jun 29 16:53:28 2022  using multiplier of 7
Wed Jun 29 16:53:28 2022  using generic 32kb sieve core
Wed Jun 29 16:53:28 2022  sieve interval: 12 blocks of size 32768
Wed Jun 29 16:53:28 2022  processing polynomials in batches of 17
Wed Jun 29 16:53:28 2022  using a sieve bound of 999269 (39154 primes)
Wed Jun 29 16:53:28 2022  using large prime bound of 99926900 (26 bits)
Wed Jun 29 16:53:28 2022  using trial factoring cutoff of 27 bits
Wed Jun 29 16:53:28 2022  polynomial 'A' values have 10 factors
Wed Jun 29 16:56:48 2022  39323 relations (20679 full + 18644 combined from 210209 partial), need 39250
Wed Jun 29 16:56:48 2022  begin with 230888 relations
Wed Jun 29 16:56:48 2022  reduce to 55641 relations in 2 passes
Wed Jun 29 16:56:48 2022  attempting to read 55641 relations
Wed Jun 29 16:56:48 2022  recovered 55641 relations
Wed Jun 29 16:56:48 2022  recovered 42466 polynomials
Wed Jun 29 16:56:48 2022  attempting to build 39323 cycles
Wed Jun 29 16:56:48 2022  found 39323 cycles in 1 passes
Wed Jun 29 16:56:48 2022  distribution of cycle lengths:
Wed Jun 29 16:56:48 2022     length 1 : 20679
Wed Jun 29 16:56:48 2022     length 2 : 18644
Wed Jun 29 16:56:48 2022  largest cycle: 2 relations
Wed Jun 29 16:56:48 2022  matrix is 39154 x 39323 (5.7 MB) with weight 1181663 (30.05/col)
Wed Jun 29 16:56:48 2022  sparse part has weight 1181663 (30.05/col)
Wed Jun 29 16:56:48 2022  filtering completed in 3 passes
Wed Jun 29 16:56:48 2022  matrix is 26857 x 26921 (4.3 MB) with weight 907549 (33.71/col)
Wed Jun 29 16:56:48 2022  sparse part has weight 907549 (33.71/col)
Wed Jun 29 16:56:48 2022  saving the first 48 matrix rows for later
Wed Jun 29 16:56:48 2022  matrix includes 64 packed rows
Wed Jun 29 16:56:48 2022  matrix is 26809 x 26921 (2.7 MB) with weight 649433 (24.12/col)
Wed Jun 29 16:56:48 2022  sparse part has weight 448052 (16.64/col)
Wed Jun 29 16:56:48 2022  commencing Lanczos iteration
Wed Jun 29 16:56:48 2022  memory use: 2.8 MB
Wed Jun 29 16:56:52 2022  lanczos halted after 426 iterations (dim = 26806)
Wed Jun 29 16:56:52 2022  recovered 16 nontrivial dependencies
Wed Jun 29 16:56:52 2022  p39 factor: 118610053740373850587787778519529879721
Wed Jun 29 16:56:52 2022  p40 factor: 2317452576369761315552906201422146726647
Wed Jun 29 16:56:52 2022  elapsed time 00:03:24
software ソフトウェア
Msieve v. 1.53
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10129+49

c115

name 名前Ignacio Santos
date 日付June 30, 2022 13:59:19 UTC 2022 年 6 月 30 日 (木) 22 時 59 分 19 秒 (日本時間)
composite number 合成数
1084089690488500895059008454619049225530987893812021505766691523913063595723579299249655357991738478231778431178001<115>
prime factors 素因数
19619101963072364797167164135367063275585966024447267531<56>
55256845727648774982098291003769395732938723926503400804371<59>
factorization results 素因数分解の結果
N=1084089690488500895059008454619049225530987893812021505766691523913063595723579299249655357991738478231778431178001
  ( 115 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=19619101963072364797167164135367063275585966024447267531 (pp56)
 r2=55256845727648774982098291003769395732938723926503400804371 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.67 hours.
Scaled time: 20.38 units (timescale=7.628).
Factorization parameters were as follows:
n: 1084089690488500895059008454619049225530987893812021505766691523913063595723579299249655357991738478231778431178001
m: 100000000000000000000000000000000
deg: 4
c4: 205
c0: 2
skew: 0.31
# Murphy_E = 1.023e-08
type: snfs
lss: 1
rlim: 1040000
alim: 1040000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1040000/1040000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [520000, 1220001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 164350 x 164576
Total sieving time: 2.65 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1040000,1040000,26,26,47,47,2.3,2.3,100000
total time: 2.67 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10131+49

c123

name 名前Ignacio Santos
date 日付June 30, 2022 14:21:08 UTC 2022 年 6 月 30 日 (木) 23 時 21 分 8 秒 (日本時間)
composite number 合成数
716423888119683781343490062913053799535952886746148214588950057300246574440322197308214564039474497724106179754406242632869<123>
prime factors 素因数
1237873597319729349487774093628075211096341<43>
578753670545118870280288952884625229444731151665584379326509295610904146960873809<81>
factorization results 素因数分解の結果
N=716423888119683781343490062913053799535952886746148214588950057300246574440322197308214564039474497724106179754406242632869
  ( 123 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=1237873597319729349487774093628075211096341 (pp43)
 r2=578753670545118870280288952884625229444731151665584379326509295610904146960873809 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.48 hours.
Scaled time: 19.09 units (timescale=7.710).
Factorization parameters were as follows:
n: 716423888119683781343490062913053799535952886746148214588950057300246574440322197308214564039474497724106179754406242632869
m: 500000000000000000000000000000000
deg: 4
c4: 82
c0: 5
skew: 0.50
# Murphy_E = 1.073e-08
type: snfs
lss: 1
rlim: 1140000
alim: 1140000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1140000/1140000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [570000, 1170001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 144373 x 144603
Total sieving time: 2.45 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,132.000,4,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,100000
total time: 2.48 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10134+49

c128

name 名前Bob Backstrom
date 日付June 30, 2022 00:01:36 UTC 2022 年 6 月 30 日 (木) 9 時 1 分 36 秒 (日本時間)
composite number 合成数
54844476848166570541688464002038395307324637728152354853289419226953989657455309376088696307190282136576017039991682901969483891<128>
prime factors 素因数
187628949404123190265547448182684151627133953487540897057<57>
292302851038408843063612713777920995946713771768462774752674506356274963<72>
factorization results 素因数分解の結果
Number: n
N=54844476848166570541688464002038395307324637728152354853289419226953989657455309376088696307190282136576017039991682901969483891  ( 128 digits)
SNFS difficulty: 135 digits.
Divisors found:

Thu Jun 30 09:21:30 2022  p57 factor: 187628949404123190265547448182684151627133953487540897057
Thu Jun 30 09:21:30 2022  p72 factor: 292302851038408843063612713777920995946713771768462774752674506356274963
Thu Jun 30 09:21:30 2022  elapsed time 00:02:34 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 41x10^134+4 = 45(133)6
#
n: 54844476848166570541688464002038395307324637728152354853289419226953989657455309376088696307190282136576017039991682901969483891
m: 1000000000000000000000000000000000
deg: 4
c4: 1025
c0: 1
skew: 0.18
# Murphy_E = 7.419e-09
type: snfs
lss: 1
rlim: 1250000
alim: 1250000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1250000/1250000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 13425000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 381961 hash collisions in 5514403 relations (5751490 unique)
Msieve: matrix is 209450 x 209675 (68.9 MB)

Sieving start time : 2022/06/30 09:00:20
Sieving end time  : 2022/06/30 09:18:36

Total sieving time: 0hrs 18min 16secs.

Total relation processing time: 0hrs 0min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 21sec.

Prototype def-par.txt line would be:
snfs,135,4,0,0,0,0,0,0,0,0,1250000,1250000,26,26,47,47,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10136+49

c107

name 名前Eric Jeancolas
date 日付July 4, 2022 12:20:31 UTC 2022 年 7 月 4 日 (月) 21 時 20 分 31 秒 (日本時間)
composite number 合成数
45092948513588653571672789912985906236390038365638378399560439457046557410916798246743946515777659398088663<107>
prime factors 素因数
11257039940998380796199255052878587595836369<44>
4005755398393779200506678180055401409157092484120386132853484327<64>
factorization results 素因数分解の結果
45092948513588653571672789912985906236390038365638378399560439457046557410916798246743946515777659398088663=11257039940998380796199255052878587595836369*4005755398393779200506678180055401409157092484120386132853484327

cado polynomial
n: 45092948513588653571672789912985906236390038365638378399560439457046557410916798246743946515777659398088663
skew: 0.56
type: snfs
c0: 4
c4: 41
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^4+4
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1380000
tasks.lim1 = 1380000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4005755398393779200506678180055401409157092484120386132853484327 11257039940998380796199255052878587595836369
Info:Square Root: Total cpu/real time for sqrt: 19.14/6.16152
Info:Quadratic Characters: Total cpu/real time for characters: 4.23/1.64165
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.22/47.4062
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.5s
Info:Square Root: Total cpu/real time for sqrt: 19.14/6.16152
Info:Linear Algebra: Total cpu/real time for bwc: 236.35/63.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 135.2, WCT time 35.5, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Linear Algebra: Lingen CPU time 18.3, WCT time 4.67
Info:Linear Algebra: Mksol: CPU time 74.97,  WCT time 19.76, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2112 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.76/40.2054
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6144121
Info:Lattice Sieving: Average J: 1891.58 for 70938 special-q, max bucket fill -bkmult 1.0,1s:1.318490
Info:Lattice Sieving: Total time: 6635s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.98/11.2699
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.58/23.435
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.4s
Info:Filtering - Merging: Merged matrix has 134029 rows and total weight 22797862 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 27.06/7.52896
Info:Filtering - Merging: Total cpu/real time for replay: 4.13/3.41762
Info:Generate Factor Base: Total cpu/real time for makefb: 0.7/0.393544
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12353.7/3632.35
Info:root: Cleaning up computation data in /tmp/cado.q_dqaqte
4005755398393779200506678180055401409157092484120386132853484327 11257039940998380796199255052878587595836369
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10138+49

c133

name 名前Bob Backstrom
date 日付June 29, 2022 20:08:19 UTC 2022 年 6 月 30 日 (木) 5 時 8 分 19 秒 (日本時間)
composite number 合成数
5307303211669232294707039451644254313543046889117750159089649930280158297437841123677769544985478700627193793199506446690598720758701<133>
prime factors 素因数
27578964393108112094283324973792806655647370489<47>
192440264834436967781589708612358426686986801740274335882525734470007036953659508538709<87>
factorization results 素因数分解の結果
Number: n
N=5307303211669232294707039451644254313543046889117750159089649930280158297437841123677769544985478700627193793199506446690598720758701  ( 133 digits)
SNFS difficulty: 139 digits.
Divisors found:

Thu Jun 30 06:04:39 2022  p47 factor: 27578964393108112094283324973792806655647370489
Thu Jun 30 06:04:39 2022  p87 factor: 192440264834436967781589708612358426686986801740274335882525734470007036953659508538709
Thu Jun 30 06:04:39 2022  elapsed time 00:02:51 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 41x10^138+4 = 45(137)6
#
n: 5307303211669232294707039451644254313543046889117750159089649930280158297437841123677769544985478700627193793199506446690598720758701
m: 10000000000000000000000000000000000
deg: 4
c4: 1025
c0: 1
skew: 0.18
# Murphy_E = 4.7e-09
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  special-q in [100000, 6325000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 371800 hash collisions in 5984739 relations (6292250 unique)
Msieve: matrix is 210063 x 210288 (70.8 MB)

Sieving start time : 2022/06/30 05:46:58
Sieving end time  : 2022/06/30 06:01:37

Total sieving time: 0hrs 14min 39secs.

Total relation processing time: 0hrs 0min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,139,4,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10140+49

c99

name 名前Ignacio Santos
date 日付June 30, 2022 13:11:53 UTC 2022 年 6 月 30 日 (木) 22 時 11 分 53 秒 (日本時間)
composite number 合成数
757375739740496482013280357457513404430685316184417567094951559285894528458725217180141264598060361<99>
prime factors 素因数
1383051708345206100884802132460250656521792667<46>
547612019977677849626093529175981071501857721821807083<54>
factorization results 素因数分解の結果
prp46 = 1383051708345206100884802132460250656521792667
prp54 = 547612019977677849626093529175981071501857721821807083
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10141+49

c142

name 名前Bob Backstrom
date 日付June 29, 2022 18:57:14 UTC 2022 年 6 月 30 日 (木) 3 時 57 分 14 秒 (日本時間)
composite number 合成数
1138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<142>
prime factors 素因数
128488360257061102541262797642394709124902864560221<51>
8863751444958618584563731270584630885348431780645691646346750101096674141111937690460288909<91>
factorization results 素因数分解の結果
Number: n
N=1138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 142 digits)
SNFS difficulty: 142 digits.
Divisors found:

Thu Jun 30 04:52:37 2022  p51 factor: 128488360257061102541262797642394709124902864560221
Thu Jun 30 04:52:37 2022  p91 factor: 8863751444958618584563731270584630885348431780645691646346750101096674141111937690460288909
Thu Jun 30 04:52:37 2022  elapsed time 00:02:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 41x10^141+4 = 45(140)6
#
n: 1138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 10000000000000000000000000000
deg: 5
c5: 205
c0: 2
skew: 0.40
# Murphy_E = 3.209e-09
type: snfs
lss: 1
rlim: 1650000
alim: 1650000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1650000/1650000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6425000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 366802 hash collisions in 5547978 relations (5557859 unique)
Msieve: matrix is 269965 x 270190 (91.4 MB)

Sieving start time : 2022/06/30 04:42:31
Sieving end time  : 2022/06/30 04:45:53

Total sieving time: 0hrs 3min 22secs.

Total relation processing time: 0hrs 1min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 12sec.

Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1650000,1650000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10143+49

c102

name 名前Eric Jeancolas
date 日付July 2, 2022 06:34:05 UTC 2022 年 7 月 2 日 (土) 15 時 34 分 5 秒 (日本時間)
composite number 合成数
343648918234714391359350676544785588531068506626970705371416469087931776654633789364502158022695050751<102>
prime factors 素因数
8655494058154400755257718169497589<34>
39702981242412196116089022886584921122757877671858608539848225137059<68>
factorization results 素因数分解の結果
343648918234714391359350676544785588531068506626970705371416469087931776654633789364502158022695050751=8655494058154400755257718169497589*39702981242412196116089022886584921122757877671858608539848225137059

cado polynomial
n: 343648918234714391359350676544785588531068506626970705371416469087931776654633789364502158022695050751
skew: 85003.089
c0: 52158812704000399392675260
c1: -38311315254528774001
c2: 4765445206442705
c3: -11628397840
c4: -1369200
Y0: -841723604359106190493517
Y1: 14027970390671
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.128e-06
# f(x) = -1369200*x^4-11628397840*x^3+4765445206442705*x^2-38311315254528774001*x+52158812704000399392675260
# g(x) = 14027970390671*x-841723604359106190493517

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 39702981242412196116089022886584921122757877671858608539848225137059 8655494058154400755257718169497589
Info:Square Root: Total cpu/real time for sqrt: 87.58/26.3772
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5799/34.310/38.770/39.590/0.670
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3276/33.680/37.234/39.580/0.986
Info:Polynomial Selection (size optimized): Total time: 103.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 26.57/27.0913
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 19.600000000000005s
Info:Quadratic Characters: Total cpu/real time for characters: 7/2.76657
Info:Square Root: Total cpu/real time for sqrt: 87.58/26.3772
Info:Linear Algebra: Total cpu/real time for bwc: 578.64/150.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 341.98, WCT time 87.81, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 28.61, WCT time 7.31
Info:Linear Algebra: Mksol: CPU time 190.31,  WCT time 48.89, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.21/19.4165
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2477596
Info:Lattice Sieving: Average J: 958.759 for 124694 special-q, max bucket fill -bkmult 1.0,1s:1.338600
Info:Lattice Sieving: Total time: 4275.83s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.78/0.217525
Info:Generate Free Relations: Total cpu/real time for freerel: 24.04/6.64747
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.71/10.25
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.799999999999999s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 60.27
Info:Polynomial Selection (root optimized): Rootsieve time: 59.89
Info:Filtering - Merging: Merged matrix has 211882 rows and total weight 36090643 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.91/12.4123
Info:Filtering - Merging: Total cpu/real time for replay: 7.22/5.93692
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8560.73/2470.83
Info:root: Cleaning up computation data in /tmp/cado.92_jlcg_
39702981242412196116089022886584921122757877671858608539848225137059 8655494058154400755257718169497589
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10145+49

c94

name 名前Eric Jeancolas
date 日付June 29, 2022 15:46:54 UTC 2022 年 6 月 30 日 (木) 0 時 46 分 54 秒 (日本時間)
composite number 合成数
2853618823733392300484636624646886678195395281921225091048001868735016713105209845249264968171<94>
prime factors 素因数
264668205613025358755997578666047688626316759<45>
10781872409358090816675546715544713403052340640269<50>
factorization results 素因数分解の結果
2853618823733392300484636624646886678195395281921225091048001868735016713105209845249264968171=264668205613025358755997578666047688626316759*10781872409358090816675546715544713403052340640269

cado polynomial
n: 2853618823733392300484636624646886678195395281921225091048001868735016713105209845249264968171
skew: 79740.094
c0: 2799711089690907636925597
c1: -112314729603956988102
c2: 278541649415741
c3: 20537463900
c4: 93600
Y0: -23080012660584356826284
Y1: 64453026690705833
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 1.170e-05
# f(x) = 93600*x^4+20537463900*x^3+278541649415741*x^2-112314729603956988102*x+2799711089690907636925597
# g(x) = 64453026690705833*x-23080012660584356826284

cado parameters (extracts)
tasks.lim0 = 600000
tasks.lim1 = 850000
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 50
tasks.sieve.ncurves0 = 11
tasks.sieve.ncurves1 = 14
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 264668205613025358755997578666047688626316759 10781872409358090816675546715544713403052340640269
Info:Square Root: Total cpu/real time for sqrt: 21.07/6.5068
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 18.88/18.2063
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 13.2s
Info:Square Root: Total cpu/real time for sqrt: 21.07/6.5068
Info:Filtering - Singleton removal: Total cpu/real time for purge: 9.44/9.73732
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2400183
Info:Lattice Sieving: Average J: 1012.56 for 25989 special-q, max bucket fill -bkmult 1.0,1s:1.352920
Info:Lattice Sieving: Total time: 1230.67s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.63/0.183352
Info:Linear Algebra: Total cpu/real time for bwc: 121.52/33.01
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 66.81, WCT time 17.68, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3264 iterations)
Info:Linear Algebra: Lingen CPU time 11.93, WCT time 3.07
Info:Linear Algebra: Mksol: CPU time 37.64,  WCT time 10.12, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1600 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 8.73/8.15963
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 52.99
Info:Polynomial Selection (root optimized): Rootsieve time: 52.6
Info:Filtering - Merging: Merged matrix has 102309 rows and total weight 14846032 (145.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 13.7/4.12915
Info:Filtering - Merging: Total cpu/real time for replay: 3.14/2.52821
Info:Generate Free Relations: Total cpu/real time for freerel: 23.82/6.64018
Info:Quadratic Characters: Total cpu/real time for characters: 3.51/1.34825
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7433/30.520/36.122/43.050/1.361
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 5031/30.100/33.985/38.020/1.099
Info:Polynomial Selection (size optimized): Total time: 126.32
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2544.66/798.542
Info:root: Cleaning up computation data in /tmp/cado.h8tzd8j6
264668205613025358755997578666047688626316759 10781872409358090816675546715544713403052340640269
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10146+49

c115

name 名前Eric Jeancolas
date 日付July 5, 2022 07:40:22 UTC 2022 年 7 月 5 日 (火) 16 時 40 分 22 秒 (日本時間)
composite number 合成数
3002969128923540574928694080128760914955103557172879018061836906774920611091852996318329937679340192733017275355063<115>
prime factors 素因数
3507797362043470517138781932882178907<37>
856083980624855194123013498135332412398544739575251544190740366702456361930709<78>
factorization results 素因数分解の結果
3002969128923540574928694080128760914955103557172879018061836906774920611091852996318329937679340192733017275355063=3507797362043470517138781932882178907*856083980624855194123013498135332412398544739575251544190740366702456361930709

cado polynomial
n: 3002969128923540574928694080128760914955103557172879018061836906774920611091852996318329937679340192733017275355063
skew: 0.40
type: snfs
c0: 2
c5: 205
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 205*x^5+2
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2000000
tasks.lim1 = 2000000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3507797362043470517138781932882178907 856083980624855194123013498135332412398544739575251544190740366702456361930709
Info:Square Root: Total cpu/real time for sqrt: 35.96/11.715
Info:Filtering - Singleton removal: Total cpu/real time for purge: 40.16/46.1395
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6071127
Info:Lattice Sieving: Average J: 1891.73 for 78689 special-q, max bucket fill -bkmult 1.0,1s:1.244760
Info:Lattice Sieving: Total time: 15399.6s
Info:Linear Algebra: Total cpu/real time for bwc: 524.01/137.43
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 307.31, WCT time 79.1, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6272 iterations)
Info:Linear Algebra: Lingen CPU time 28.1, WCT time 7.18
Info:Linear Algebra: Mksol: CPU time 171.59,  WCT time 44.38, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3200 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 30.71/21.6008
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.09/28.1484
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.0s
Info:Filtering - Merging: Merged matrix has 199791 rows and total weight 34086198 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.04/13.3842
Info:Filtering - Merging: Total cpu/real time for replay: 6.27/5.25142
Info:Generate Factor Base: Total cpu/real time for makefb: 0.88/1.14829
Info:Quadratic Characters: Total cpu/real time for characters: 6.46/2.52687
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.9/60.7336
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 48.1s
Info:Square Root: Total cpu/real time for sqrt: 35.96/11.715
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15486.7/8223.64
Info:root: Cleaning up computation data in /tmp/cado.qhkaurbk
3507797362043470517138781932882178907 856083980624855194123013498135332412398544739575251544190740366702456361930709
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10147+49

c123

name 名前Eric Jeancolas
date 日付July 5, 2022 09:54:35 UTC 2022 年 7 月 5 日 (火) 18 時 54 分 35 秒 (日本時間)
composite number 合成数
930382318181141411487578348399321573072880701971223826310246726798100916928480295931149315987879200281191762490593641443847<123>
prime factors 素因数
39467639353247402999492901365147804687515112117740753<53>
23573295323136406980147729480053106045869134567031055979127370869178199<71>
factorization results 素因数分解の結果
930382318181141411487578348399321573072880701971223826310246726798100916928480295931149315987879200281191762490593641443847=
39467639353247402999492901365147804687515112117740753*23573295323136406980147729480053106045869134567031055979127370869178199

cado polynomial
n: 930382318181141411487578348399321573072880701971223826310246726798100916928480295931149315987879200281191762490593641443847
skew: 0.25
type: snfs
c0: 1
c5: 1025
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 1025*x^5+1
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2100000
tasks.lim1 = 2100000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 23573295323136406980147729480053106045869134567031055979127370869178199 39467639353247402999492901365147804687515112117740753
Info:Square Root: Total cpu/real time for sqrt: 40.65/13.1866
Info:Quadratic Characters: Total cpu/real time for characters: 7.02/2.74494
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.65/49.5297
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.1s
Info:Square Root: Total cpu/real time for sqrt: 40.65/13.1866
Info:Linear Algebra: Total cpu/real time for bwc: 642.21/166.84
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 382.63, WCT time 97.91, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Linear Algebra: Lingen CPU time 29.44, WCT time 7.52
Info:Linear Algebra: Mksol: CPU time 211.96,  WCT time 54.33, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 38.57/36.0213
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6062608
Info:Lattice Sieving: Average J: 1893.68 for 92782 special-q, max bucket fill -bkmult 1.0,1s:1.229510
Info:Lattice Sieving: Total time: 9349.85s
Info:Generate Free Relations: Total cpu/real time for freerel: 29.64/9.40212
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.56/23.6656
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.6s
Info:Filtering - Merging: Merged matrix has 219753 rows and total weight 37451575 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.93/12.3624
Info:Filtering - Merging: Total cpu/real time for replay: 6.87/5.72613
Info:Generate Factor Base: Total cpu/real time for makefb: 0.93/0.512393
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17835.9/5127.48
Info:root: Cleaning up computation data in /tmp/cado.rsrgtv50
23573295323136406980147729480053106045869134567031055979127370869178199 39467639353247402999492901365147804687515112117740753
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10153+49

c121

name 名前Eric Jeancolas
date 日付July 6, 2022 01:51:16 UTC 2022 年 7 月 6 日 (水) 10 時 51 分 16 秒 (日本時間)
composite number 合成数
4042920185686183670105048038462718864486414290444039960094824234803784242519806422115109818238443736604700146062586317829<121>
prime factors 素因数
36633915543404359124559874001661596077<38>
110360034566768520737844298789264682967560614356513351812197373931007381109498158777<84>
factorization results 素因数分解の結果
4042920185686183670105048038462718864486414290444039960094824234803784242519806422115109818238443736604700146062586317829=36633915543404359124559874001661596077*110360034566768520737844298789264682967560614356513351812197373931007381109498158777

cado polynomial
n: 4042920185686183670105048038462718864486414290444039960094824234803784242519806422115109818238443736604700146062586317829
skew: 0.16
type: snfs
c0: 1
c5: 10250
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 10250*x^5+1
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2600000
tasks.lim1 = 2600000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 36633915543404359124559874001661596077 110360034566768520737844298789264682967560614356513351812197373931007381109498158777
Info:Square Root: Total cpu/real time for sqrt: 54.56/17.0459
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.4/78.9157
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11624522
Info:Lattice Sieving: Average J: 1894.05 for 184443 special-q, max bucket fill -bkmult 1.0,1s:1.220780
Info:Lattice Sieving: Total time: 23274.9s
Info:Linear Algebra: Total cpu/real time for bwc: 1017.75/263.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 614.23, WCT time 157.3, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Linear Algebra: Lingen CPU time 43.69, WCT time 11.11
Info:Linear Algebra: Mksol: CPU time 336.67,  WCT time 86.31, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 61.09/42.1016
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.95/45.8751
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 45.8s
Info:Filtering - Merging: Merged matrix has 276094 rows and total weight 47106616 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 56.9/15.8357
Info:Filtering - Merging: Total cpu/real time for replay: 8.51/7.07797
Info:Generate Factor Base: Total cpu/real time for makefb: 1.16/1.53552
Info:Quadratic Characters: Total cpu/real time for characters: 8.65/3.39233
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.18/82.5331
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.6s
Info:Square Root: Total cpu/real time for sqrt: 54.56/17.0459
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 41967/12381.3
Info:root: Cleaning up computation data in /tmp/cado.5dcj_ytz
36633915543404359124559874001661596077 110360034566768520737844298789264682967560614356513351812197373931007381109498158777
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10155+49

c123

name 名前Eric Jeancolas
date 日付July 6, 2022 14:15:35 UTC 2022 年 7 月 6 日 (水) 23 時 15 分 35 秒 (日本時間)
composite number 合成数
302567302635827924730769383554042675532037231702846635701713319556038773425863475887129164759784527131813223167355213930511<123>
prime factors 素因数
337661368445177130371894509525375467315321749149<48>
896067276008072283167837570296392781354234025920955290787894808501205181339<75>
factorization results 素因数分解の結果
302567302635827924730769383554042675532037231702846635701713319556038773425863475887129164759784527131813223167355213930511=337661368445177130371894509525375467315321749149*896067276008072283167837570296392781354234025920955290787894808501205181339

cado polynomial
n: 302567302635827924730769383554042675532037231702846635701713319556038773425863475887129164759784527131813223167355213930511
skew: 0.63
type: snfs
c0: 4
c5: 41
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 41*x^5+4
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2900000
tasks.lim1 = 2900000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 896067276008072283167837570296392781354234025920955290787894808501205181339 337661368445177130371894509525375467315321749149
Info:Square Root: Total cpu/real time for sqrt: 49.43/16.5318
Info:Quadratic Characters: Total cpu/real time for characters: 9.08/3.53936
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.17/83.7709
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.0s
Info:Square Root: Total cpu/real time for sqrt: 49.43/16.5318
Info:Linear Algebra: Total cpu/real time for bwc: 1159.24/299.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 703.68, WCT time 179.85, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9088 iterations)
Info:Linear Algebra: Lingen CPU time 44.96, WCT time 11.4
Info:Linear Algebra: Mksol: CPU time 385.65,  WCT time 98.45, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 90.54/78.4878
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11622927
Info:Lattice Sieving: Average J: 1894.36 for 188289 special-q, max bucket fill -bkmult 1.0,1s:1.240400
Info:Lattice Sieving: Total time: 25100.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.08/16.7877
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.72/47.5284
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.5s
Info:Filtering - Merging: Merged matrix has 289024 rows and total weight 49282385 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.97/16.338
Info:Filtering - Merging: Total cpu/real time for replay: 8.9/7.45833
Info:Generate Factor Base: Total cpu/real time for makefb: 1.27/0.702165
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 44417.1/13274.5
Info:root: Cleaning up computation data in /tmp/cado.byr7epl2
896067276008072283167837570296392781354234025920955290787894808501205181339 337661368445177130371894509525375467315321749149
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10158+49

c135

name 名前Bob Backstrom
date 日付July 3, 2022 11:38:41 UTC 2022 年 7 月 3 日 (日) 20 時 38 分 41 秒 (日本時間)
composite number 合成数
476771513066581342509179133399961028542402958471164407036064858461054183129042598824812992912457345798765455986804086734649166486324109<135>
prime factors 素因数
4506942811542400894567088165517053457977963<43>
105786013491353110972231315586304618553080549340107912489860695923736308314763306198378835943<93>
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 476771513066581342509179133399961028542402958471164407036064858461054183129042598824812992912457345798765455986804086734649166486324109 (135 digits)
Using B1=20200000, B2=70272629710, polynomial Dickson(12), sigma=1:574272943
Step 1 took 33204ms
Step 2 took 13915ms
********** Factor found in step 2: 4506942811542400894567088165517053457977963
Found prime factor of 43 digits: 4506942811542400894567088165517053457977963
Prime cofactor 105786013491353110972231315586304618553080549340107912489860695923736308314763306198378835943 has 93 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10159+49

c143

name 名前Bob Backstrom
date 日付July 1, 2022 08:40:46 UTC 2022 年 7 月 1 日 (金) 17 時 40 分 46 秒 (日本時間)
composite number 合成数
63720211267357875988620593909558650840612405662713132769004458822210402218289564912692777637697799797746978138564553991354380586921477510492213<143>
prime factors 素因数
9922537913557667703598455063678869207936317384191884657624920887516931<70>
6421765461867745930824032306029606704508122738387960553754087355700318823<73>
factorization results 素因数分解の結果
Number: n
N=63720211267357875988620593909558650840612405662713132769004458822210402218289564912692777637697799797746978138564553991354380586921477510492213  ( 143 digits)
SNFS difficulty: 160 digits.
Divisors found:

Fri Jul  1 18:35:48 2022  p70 factor: 9922537913557667703598455063678869207936317384191884657624920887516931
Fri Jul  1 18:35:48 2022  p73 factor: 6421765461867745930824032306029606704508122738387960553754087355700318823
Fri Jul  1 18:35:48 2022  elapsed time 00:08:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 41x10^159+4 = 45(158)6
#
n: 63720211267357875988620593909558650840612405662713132769004458822210402218289564912692777637697799797746978138564553991354380586921477510492213
m: 50000000000000000000000000000000
deg: 5
c5: 164
c0: 5
skew: 0.50
# Murphy_E = 5.037e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 28850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 851458 hash collisions in 11618346 relations (11538967 unique)
Msieve: matrix is 575680 x 575908 (197.6 MB)

Sieving start time : 2022/07/01 15:27:26
Sieving end time  : 2022/07/01 18:25:45

Total sieving time: 2hrs 58min 19secs.

Total relation processing time: 0hrs 5min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 12sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10160+49

c154

name 名前Bob Backstrom
date 日付June 30, 2022 18:45:09 UTC 2022 年 7 月 1 日 (金) 3 時 45 分 9 秒 (日本時間)
composite number 合成数
1721007954565927289747774279178485164097101048570689461475791017651480307782040336699003650568492582229046480495917592833393786885922744271935644175208281<154>
prime factors 素因数
11969745817936370557501713389494783406587860917032324569049<59>
143779824629779445817089828145313342879424504839939067082349517776620327363578122462083011511169<96>
factorization results 素因数分解の結果
Number: n
N=1721007954565927289747774279178485164097101048570689461475791017651480307782040336699003650568492582229046480495917592833393786885922744271935644175208281  ( 154 digits)
SNFS difficulty: 161 digits.
Divisors found:

Fri Jul  1 04:40:17 2022  p59 factor: 11969745817936370557501713389494783406587860917032324569049
Fri Jul  1 04:40:17 2022  p96 factor: 143779824629779445817089828145313342879424504839939067082349517776620327363578122462083011511169
Fri Jul  1 04:40:17 2022  elapsed time 00:07:56 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 41x10^160+4 = 45(159)6
#
n: 1721007954565927289747774279178485164097101048570689461475791017651480307782040336699003650568492582229046480495917592833393786885922744271935644175208281
m: 100000000000000000000000000000000
deg: 5
c5: 41
c0: 4
skew: 0.63
# Murphy_E = 5.691e-10
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  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1229125 hash collisions in 13851306 relations (13529471 unique)
Msieve: matrix is 463077 x 463306 (158.0 MB)

Sieving start time : 2022/07/01 03:49:24
Sieving end time  : 2022/07/01 04:32:05

Total sieving time: 0hrs 42min 41secs.

Total relation processing time: 0hrs 3min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10161+49

c121

name 名前Eric Jeancolas
date 日付July 7, 2022 16:41:50 UTC 2022 年 7 月 8 日 (金) 1 時 41 分 50 秒 (日本時間)
composite number 合成数
1009095012352618130417863305615732303841346573656962888804019127269669484162569384184629796349615735944042672920754452337<121>
prime factors 素因数
477139590758862367157210730221446463<36>
2114884264262607199239126640678290880898208549600150707404476747898954236199765067599<85>
factorization results 素因数分解の結果
1009095012352618130417863305615732303841346573656962888804019127269669484162569384184629796349615735944042672920754452337=477139590758862367157210730221446463*2114884264262607199239126640678290880898208549600150707404476747898954236199765067599

cado polynomial
n: 1009095012352618130417863305615732303841346573656962888804019127269669484162569384184629796349615735944042672920754452337
skew: 0.40
type: snfs
c0: 2
c5: 205
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 205*x^5+2
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3600000
tasks.lim1 = 3600000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 477139590758862367157210730221446463 2114884264262607199239126640678290880898208549600150707404476747898954236199765067599
Info:Square Root: Total cpu/real time for sqrt: 83.46/27.285
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.07/69.9495
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11620629
Info:Lattice Sieving: Average J: 1893.54 for 231545 special-q, max bucket fill -bkmult 1.0,1s:1.230720
Info:Lattice Sieving: Total time: 29411.5s
Info:Linear Algebra: Total cpu/real time for bwc: 2356.46/607.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1457.6, WCT time 372.09, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12928 iterations)
Info:Linear Algebra: Lingen CPU time 64.84, WCT time 16.48
Info:Linear Algebra: Mksol: CPU time 797.1,  WCT time 203.49, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.44/47.8898
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.79/86.2373
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.4s
Info:Filtering - Merging: Merged matrix has 409754 rows and total weight 69738660 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 85.34/23.9382
Info:Filtering - Merging: Total cpu/real time for replay: 13.25/11.036
Info:Generate Factor Base: Total cpu/real time for makefb: 1.57/0.878533
Info:Quadratic Characters: Total cpu/real time for characters: 13.3/5.20997
Info:Square Root: Total cpu/real time for sqrt: 83.46/27.285
Info:Generate Free Relations: Total cpu/real time for freerel: 59.74/16.7964
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 56779.9/15803
Info:root: Cleaning up computation data in /tmp/cado.pnqcfbgu
477139590758862367157210730221446463 2114884264262607199239126640678290880898208549600150707404476747898954236199765067599
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10163+49

c112

name 名前Eric Jeancolas
date 日付July 1, 2022 02:08:23 UTC 2022 年 7 月 1 日 (金) 11 時 8 分 23 秒 (日本時間)
composite number 合成数
1161328022646962310829693165427550500856098681846754178269977711119860924762140296284504992704889505011174981081<112>
prime factors 素因数
4785923969891282356281346948854804188046936083848915297<55>
242654925141517277911919078742546506045867636541464465273<57>
factorization results 素因数分解の結果
1161328022646962310829693165427550500856098681846754178269977711119860924762140296284504992704889505011174981081=4785923969891282356281346948854804188046936083848915297*242654925141517277911919078742546506045867636541464465273

cado polynomial
n: 1161328022646962310829693165427550500856098681846754178269977711119860924762140296284504992704889505011174981081
skew: 21419.929
c0: -45422740686941899038851520
c1: 18354352569539320312052
c2: 578887251362804295
c3: -46283649143903
c4: -344118390
c5: 29160
Y0: -2989968295542897050899
Y1: 8327576107039
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.502e-06
# f(x) = 29160*x^5-344118390*x^4-46283649143903*x^3+578887251362804295*x^2+18354352569539320312052*x-45422740686941899038851520
# g(x) = 8327576107039*x-2989968295542897050899

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4785923969891282356281346948854804188046936083848915297 242654925141517277911919078742546506045867636541464465273
Info:Square Root: Total cpu/real time for sqrt: 216.71/95.0948
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11641/32.620/39.520/45.630/1.099
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9225/31.280/34.999/39.960/0.881
Info:Polynomial Selection (size optimized): Total time: 693.24
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 93.49/104.638
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.4s
Info:Quadratic Characters: Total cpu/real time for characters: 10.87/4.26294
Info:Square Root: Total cpu/real time for sqrt: 216.71/95.0948
Info:Linear Algebra: Total cpu/real time for bwc: 2740.28/1274.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 671.56, WCT time 340.71, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9344 iterations)
Info:Linear Algebra: Lingen CPU time 1673.21, WCT time 823.59
Info:Linear Algebra: Mksol: CPU time 370.8,  WCT time 94.85, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.6/90.8897
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5369194
Info:Lattice Sieving: Average J: 1909.12 for 97478 special-q, max bucket fill -bkmult 1.0,1s:1.313620
Info:Lattice Sieving: Total time: 9538.98s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.35/0.637516
Info:Generate Free Relations: Total cpu/real time for freerel: 62.1/15.9692
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.73/23.9701
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.999999999999993s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 244.97
Info:Polynomial Selection (root optimized): Rootsieve time: 244.05
Info:Filtering - Merging: Merged matrix has 294619 rows and total weight 45833993 (155.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.03/24.2891
Info:Filtering - Merging: Total cpu/real time for replay: 10.59/9.3366
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21272.5/6624.98
Info:root: Cleaning up computation data in /tmp/cado.tuz0fayu
4785923969891282356281346948854804188046936083848915297 242654925141517277911919078742546506045867636541464465273
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10170+49

c169

name 名前Bob Backstrom
date 日付July 3, 2022 10:12:35 UTC 2022 年 7 月 3 日 (日) 19 時 12 分 35 秒 (日本時間)
composite number 合成数
4218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218107<169>
prime factors 素因数
755743446026905030963461530606798716593042208321264708147723329680918436879106633<81>
5581400696307998023971997363968464743951002925634882026688979219737561643897801539847779<88>
factorization results 素因数分解の結果
Number: n
N=4218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218107  ( 169 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sun Jul  3 18:52:13 2022  p81 factor: 755743446026905030963461530606798716593042208321264708147723329680918436879106633
Sun Jul  3 18:52:13 2022  p88 factor: 5581400696307998023971997363968464743951002925634882026688979219737561643897801539847779
Sun Jul  3 18:52:13 2022  elapsed time 00:15:10 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 41x10^170+4 = 45(169)6
#
n: 4218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218107
m: 10000000000000000000000000000000000
deg: 5
c5: 41
c0: 4
skew: 0.63
# Murphy_E = 2.3e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1189833 hash collisions in 13034808 relations (12679455 unique)
Msieve: matrix is 778260 x 778485 (269.0 MB)

Sieving start time : 2022/07/03 18:29:33
Sieving end time  : 2022/07/03 18:36:40

Total sieving time: 0hrs 7min 7secs.

Total relation processing time: 0hrs 8min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 7sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10173+49

c166

name 名前Bob Backstrom
date 日付July 6, 2022 20:04:01 UTC 2022 年 7 月 7 日 (木) 5 時 4 分 1 秒 (日本時間)
composite number 合成数
1208717348288853224769619387324383525467446346195509257506619104240422083343311147638903147331462057275770835874661558110647238411458095182849695628639276209391547241<166>
prime factors 素因数
845494847626568483035794476230955941<36>
555948876652582042861860875760313380779756353<45>
2571455025788890653472361472083877462469760496503111977164259814450600036469199352117<85>
factorization results 素因数分解の結果
Number: n
N=1208717348288853224769619387324383525467446346195509257506619104240422083343311147638903147331462057275770835874661558110647238411458095182849695628639276209391547241  ( 166 digits)
SNFS difficulty: 174 digits.
Divisors found:

Thu Jul  7 05:58:31 2022  found factor: 555948876652582042861860875760313380779756353
Thu Jul  7 05:59:50 2022  p36 factor: 845494847626568483035794476230955941
Thu Jul  7 05:59:50 2022  p45 factor: 555948876652582042861860875760313380779756353
Thu Jul  7 05:59:50 2022  p85 factor: 2571455025788890653472361472083877462469760496503111977164259814450600036469199352117
Thu Jul  7 05:59:50 2022  elapsed time 00:18:28 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 41x10^173+4 = 45(172)6
#
n: 1208717348288853224769619387324383525467446346195509257506619104240422083343311147638903147331462057275770835874661558110647238411458095182849695628639276209391547241
m: 10000000000000000000000000000000000
deg: 5
c5: 10250
c0: 1
skew: 0.16
# Murphy_E = 1.549e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1214111 hash collisions in 11986236 relations (11498149 unique)
Msieve: matrix is 921747 x 921972 (320.3 MB)

Sieving start time : 2022/07/07 04:18:13
Sieving end time  : 2022/07/07 05:41:07

Total sieving time: 1hrs 22min 54secs.

Total relation processing time: 0hrs 12min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10175+49

c176

name 名前Bob Backstrom
date 日付July 7, 2022 12:04:33 UTC 2022 年 7 月 7 日 (木) 21 時 4 分 33 秒 (日本時間)
composite number 合成数
11388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<176>
prime factors 素因数
1844670598664230256093588547236419402057<40>
6173941785127303230236053791804013885956898141489255212070894809256492242466013257342244413481200376437739296497580921288585362181086577<136>
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 11388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 (176 digits)
Using B1=17920000, B2=58560416470, polynomial Dickson(12), sigma=1:431576354
Step 1 took 48043ms
Step 2 took 18010ms
********** Factor found in step 2: 1844670598664230256093588547236419402057
Found prime factor of 40 digits: 1844670598664230256093588547236419402057
Prime cofactor 6173941785127303230236053791804013885956898141489255212070894809256492242466013257342244413481200376437739296497580921288585362181086577 has 136 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10177+49

c127

name 名前Eric Jeancolas
date 日付July 12, 2022 16:10:58 UTC 2022 年 7 月 13 日 (水) 1 時 10 分 58 秒 (日本時間)
composite number 合成数
2674911455903040600288040994621511104426910173545381590202055040642163608206718527858092295373342087805731144480198441701879921<127>
prime factors 素因数
18886334696230174302463168671329416623362231<44>
141632111202443583333054398252427883188685497913471924868217688450788145571865939991<84>
factorization results 素因数分解の結果
2674911455903040600288040994621511104426910173545381590202055040642163608206718527858092295373342087805731144480198441701879921=18886334696230174302463168671329416623362231*141632111202443583333054398252427883188685497913471924868217688450788145571865939991

cado polynomial
n: 2674911455903040600288040994621511104426910173545381590202055040642163608206718527858092295373342087805731144480198441701879921
skew: 0.25
type: snfs
c0: 1
c5: 1025
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 1025*x^5+1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6500000
tasks.lim1 = 6500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
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: 141632111202443583333054398252427883188685497913471924868217688450788145571865939991 18886334696230174302463168671329416623362231
Info:Square Root: Total cpu/real time for sqrt: 208.88/65.8332
Info:Filtering - Singleton removal: Total cpu/real time for purge: 131.43/127.436
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22413333
Info:Lattice Sieving: Average J: 1894 for 796337 special-q, max bucket fill -bkmult 1.0,1s:1.174740
Info:Lattice Sieving: Total time: 129528s
Info:Linear Algebra: Total cpu/real time for bwc: 13167.7/3386.67
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8327.01, WCT time 2133.49, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Linear Algebra: Lingen CPU time 165.99, WCT time 42.23
Info:Linear Algebra: Mksol: CPU time 4527.12,  WCT time 1156.47, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.04/33.0123
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.91/101.812
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.04/182.57
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.7s
Info:Filtering - Merging: Merged matrix has 926721 rows and total weight 157781164 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 232.19/64.3599
Info:Filtering - Merging: Total cpu/real time for replay: 31.89/26.8713
Info:Generate Factor Base: Total cpu/real time for makefb: 2.79/1.67493
Info:Quadratic Characters: Total cpu/real time for characters: 31.16/12.1944
Info:Square Root: Total cpu/real time for sqrt: 208.88/65.8332
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 255406/69081.7
Info:root: Cleaning up computation data in /tmp/cado._sgjwywj
141632111202443583333054398252427883188685497913471924868217688450788145571865939991 18886334696230174302463168671329416623362231
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 12, 2022 13:24:41 UTC 2022 年 7 月 12 日 (火) 22 時 24 分 41 秒 (日本時間)

41×10178+49

c135

name 名前Ignacio Santos
date 日付July 12, 2022 13:25:01 UTC 2022 年 7 月 12 日 (火) 22 時 25 分 1 秒 (日本時間)
composite number 合成数
118327912008401335988549941549364846387946503083768813155528646461207638898152473648821208982073330189708565135324012098069130525827107<135>
prime factors 素因数
127953815083802224942862917426640623336685359<45>
924770487936631756841038534498311096864566093573378728314594271173176545485412336831140173<90>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:412655956
Step 1 took 4797ms
Step 2 took 3235ms
********** Factor found in step 2: 127953815083802224942862917426640623336685359
Found prime factor of 45 digits: 127953815083802224942862917426640623336685359
Prime cofactor 924770487936631756841038534498311096864566093573378728314594271173176545485412336831140173 has 90 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10179+49

c113

name 名前Ignacio Santos
date 日付July 2, 2022 10:04:56 UTC 2022 年 7 月 2 日 (土) 19 時 4 分 56 秒 (日本時間)
composite number 合成数
45073088668189794422497221525156321150721382115935064484699524352030236679518841196026287545301442771334357667857<113>
prime factors 素因数
6967816659618051019899240656958940851907<40>
6468753537878037140950392993307541781826239459542680761503880855465885851<73>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2896179667
Step 1 took 3562ms
Step 2 took 2641ms
********** Factor found in step 2: 6967816659618051019899240656958940851907
Found prime factor of 40 digits: 6967816659618051019899240656958940851907
Prime cofactor 6468753537878037140950392993307541781826239459542680761503880855465885851 has 73 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10180+49

c155

name 名前Bob Backstrom
date 日付July 9, 2022 15:15:09 UTC 2022 年 7 月 10 日 (日) 0 時 15 分 9 秒 (日本時間)
composite number 合成数
20554400200795043431982264529380947900291933096735941931335264837104116457900008832948600761552531521538010763913569359039109403061357692733549545502055901<155>
prime factors 素因数
101844921265908558779279952703866451<36>
201820571367807592168074191587264738522240670295965258590120178163111238104700227698415936951307764718231646731399111951<120>
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 20554400200795043431982264529380947900291933096735941931335264837104116457900008832948600761552531521538010763913569359039109403061357692733549545502055901 (155 digits)
Using B1=16780000, B2=58559116990, polynomial Dickson(12), sigma=1:1295634503
Step 1 took 39618ms
Step 2 took 15955ms
********** Factor found in step 2: 101844921265908558779279952703866451
Found prime factor of 36 digits: 101844921265908558779279952703866451
Prime cofactor 201820571367807592168074191587264738522240670295965258590120178163111238104700227698415936951307764718231646731399111951 has 120 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10181+49

c153

name 名前Bob Backstrom
date 日付July 11, 2022 04:02:29 UTC 2022 年 7 月 11 日 (月) 13 時 2 分 29 秒 (日本時間)
composite number 合成数
420388800410908752585898549344074891758944271763037107851133103708491936516508976926945311317981664052806400017784549811039681617390430409745186250674809<153>
prime factors 素因数
24712367592163359552438839157708451327689814037<47>
24828943166718044001690508088485390852567325042099<50>
685138776315656091045898488754733155065635359680048237143<57>
factorization results 素因数分解の結果
Number: n
N=420388800410908752585898549344074891758944271763037107851133103708491936516508976926945311317981664052806400017784549811039681617390430409745186250674809  ( 153 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Jul 11 13:55:23 2022  found factor: 24828943166718044001690508088485390852567325042099
Mon Jul 11 13:56:18 2022  found factor: 24828943166718044001690508088485390852567325042099
Mon Jul 11 13:57:12 2022  p47 factor: 24712367592163359552438839157708451327689814037
Mon Jul 11 13:57:12 2022  p50 factor: 24828943166718044001690508088485390852567325042099
Mon Jul 11 13:57:12 2022  p57 factor: 685138776315656091045898488754733155065635359680048237143
Mon Jul 11 13:57:12 2022  elapsed time 00:21:46 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 41x10^181+4 = 45(180)6
#
n: 420388800410908752585898549344074891758944271763037107851133103708491936516508976926945311317981664052806400017784549811039681617390430409745186250674809
m: 1000000000000000000000000000000000000
deg: 5
c5: 205
c0: 2
skew: 0.40
# Murphy_E = 8.888e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2896059 hash collisions in 28850907 relations (27756702 unique)
Msieve: matrix is 869368 x 869594 (299.4 MB)

Sieving start time : 2022/07/11 08:07:59
Sieving end time  : 2022/07/11 13:34:16

Total sieving time: 5hrs 26min 17secs.

Total relation processing time: 0hrs 12min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 44sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116830] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153517] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798712)
[    0.152024] smpboot: Total of 16 processors activated (102389.69 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10182+49

c104

name 名前Dmitry Domanov
date 日付June 30, 2022 19:00:04 UTC 2022 年 7 月 1 日 (金) 4 時 0 分 4 秒 (日本時間)
composite number 合成数
18777646870286759506976209753922437068675464698073761942189637473993955469327595813414202280228228336023<104>
prime factors 素因数
169560055222354492715579874602247255448484176917419<51>
110743340143776671266577706641306701392955727734642117<54>
factorization results 素因数分解の結果
N=18777646870286759506976209753922437068675464698073761942189637473993955469327595813414202280228228336023
  ( 104 digits)
Divisors found:
p51 factor: 169560055222354492715579874602247255448484176917419
p54 factor: 110743340143776671266577706641306701392955727734642117
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.43 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 18777646870286759506976209753922437068675464698073761942189637473993955469327595813414202280228228336023
skew: 659755.00
c0: -109019030960340766576098697
c1: 5725950289529535492902
c2: -12673761523829677
c3: 10708529132
c4: 20580
Y0: -5496025598655113270504640
Y1: 19692122958649
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1630001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 250704 x 250931
Total sieving time: 2.37 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 2.43 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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10183+49

c176

name 名前Bob Backstrom
date 日付July 8, 2022 04:14:55 UTC 2022 年 7 月 8 日 (金) 13 時 14 分 55 秒 (日本時間)
composite number 合成数
10695571263311511039285706634840486558002730434301142394592716522785511630576537944652605826252481681661184539442591882806657682783324224515283832031978134437410128962471372247<176>
prime factors 素因数
2391951978173662358615615408395220381711072309593803383<55>
2439247216670063677841578957805751505704873101918601101<55>
1833140326079104521740116133895953429285095516252513741977603684709<67>
factorization results 素因数分解の結果
Number: n
N=10695571263311511039285706634840486558002730434301142394592716522785511630576537944652605826252481681661184539442591882806657682783324224515283832031978134437410128962471372247  ( 176 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Jul  8 13:49:35 2022  found factor: 2391951978173662358615615408395220381711072309593803383
Fri Jul  8 13:50:55 2022  found factor: 2391951978173662358615615408395220381711072309593803383
Fri Jul  8 13:52:16 2022  p55 factor: 2391951978173662358615615408395220381711072309593803383
Fri Jul  8 13:52:16 2022  p55 factor: 2439247216670063677841578957805751505704873101918601101
Fri Jul  8 13:52:16 2022  p67 factor: 1833140326079104521740116133895953429285095516252513741977603684709
Fri Jul  8 13:52:16 2022  elapsed time 00:26:31 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 41x10^183+4 = 45(182)6
#
n: 10695571263311511039285706634840486558002730434301142394592716522785511630576537944652605826252481681661184539442591882806657682783324224515283832031978134437410128962471372247
m: 1000000000000000000000000000000000000
deg: 5
c5: 10250
c0: 1
skew: 0.16
# Murphy_E = 6.131e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 24100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2882010 hash collisions in 28761412 relations (27673328 unique)
Msieve: matrix is 986562 x 986788 (341.3 MB)

Sieving start time : 2022/07/08 06:37:14
Sieving end time  : 2022/07/08 13:24:26

Total sieving time: 6hrs 47min 12secs.

Total relation processing time: 0hrs 15min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 2sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10185+49

c183

name 名前Bob Backstrom
date 日付July 8, 2022 15:06:59 UTC 2022 年 7 月 9 日 (土) 0 時 6 分 59 秒 (日本時間)
composite number 合成数
192705395751081030268847527730776461740928746004888136867832299304380522654634329761233314532806918593720624177476969355141943974431284075954126715548035344989659710471893213009964279<183>
prime factors 素因数
913923159694661500143869215055269302320891989305767954130190931974183<69>
210855139961069836977886725917177614056505565432197327193995098701550531706934548611744589503344068730886537115313<114>
factorization results 素因数分解の結果
Number: n
N=192705395751081030268847527730776461740928746004888136867832299304380522654634329761233314532806918593720624177476969355141943974431284075954126715548035344989659710471893213009964279  ( 183 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sat Jul  9 00:48:17 2022  p69 factor: 913923159694661500143869215055269302320891989305767954130190931974183
Sat Jul  9 00:48:17 2022  p114 factor: 210855139961069836977886725917177614056505565432197327193995098701550531706934548611744589503344068730886537115313
Sat Jul  9 00:48:17 2022  elapsed time 00:26:22 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 41x10^185+4 = 45(184)6
#
n: 192705395751081030268847527730776461740928746004888136867832299304380522654634329761233314532806918593720624177476969355141943974431284075954126715548035344989659710471893213009964279
m: 10000000000000000000000000000000000000
deg: 5
c5: 41
c0: 4
skew: 0.63
# Murphy_E = 5.711e-11
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1426704 hash collisions in 11853172 relations (11089671 unique)
Msieve: matrix is 1075989 x 1076215 (375.5 MB)

Sieving start time : 2022/07/08 21:39:50
Sieving end time  : 2022/07/09 00:21:38

Total sieving time: 2hrs 41min 48secs.

Total relation processing time: 0hrs 18min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 6sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10187+49

c178

name 名前Bob Backstrom
date 日付July 10, 2022 11:55:32 UTC 2022 年 7 月 10 日 (日) 20 時 55 分 32 秒 (日本時間)
composite number 合成数
1144651436345634770288384436898013926539415826121670450089703781889620731969322421183847504093318233614662849801683031798114233507301960180303792798600080519108256614781926572861<178>
prime factors 素因数
5209933864304076255460811229916466919544613<43>
77172704090104979545771190511534891998987983175666286727553737651<65>
2846933542404727274612283613541890569769655356278219683213378069621347<70>
factorization results 素因数分解の結果
Number: n
N=1144651436345634770288384436898013926539415826121670450089703781889620731969322421183847504093318233614662849801683031798114233507301960180303792798600080519108256614781926572861  ( 178 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sun Jul 10 21:49:28 2022  found factor: 77172704090104979545771190511534891998987983175666286727553737651
Sun Jul 10 21:50:50 2022  p43 factor: 5209933864304076255460811229916466919544613
Sun Jul 10 21:50:50 2022  p65 factor: 77172704090104979545771190511534891998987983175666286727553737651
Sun Jul 10 21:50:50 2022  p70 factor: 2846933542404727274612283613541890569769655356278219683213378069621347
Sun Jul 10 21:50:50 2022  elapsed time 00:33:27 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 41x10^187+4 = 45(186)6
#
n: 1144651436345634770288384436898013926539415826121670450089703781889620731969322421183847504093318233614662849801683031798114233507301960180303792798600080519108256614781926572861
m: 10000000000000000000000000000000000000
deg: 5
c5: 1025
c0: 1
skew: 0.25
# Murphy_E = 4.735e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3218428 hash collisions in 28935640 relations (27438883 unique)
Msieve: matrix is 1111241 x 1111468 (382.6 MB)

Sieving start time : 2022/07/10 17:44:08
Sieving end time  : 2022/07/10 21:16:52

Total sieving time: 3hrs 32min 44secs.

Total relation processing time: 0hrs 20min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 28sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 9, 2022 22:15:35 UTC 2022 年 7 月 10 日 (日) 7 時 15 分 35 秒 (日本時間)

41×10188+49

c176

name 名前Bob Backstrom
date 日付July 12, 2022 02:39:56 UTC 2022 年 7 月 12 日 (火) 11 時 39 分 56 秒 (日本時間)
composite number 合成数
80479912961209633165673764226586716030828227422778603193918972831534017145084350147045345430417006689148900371496604954049305178149598439969418665343866284821379579121928450907<176>
prime factors 素因数
19080130953755561206603104543391831761348003717961<50>
4217995838512245201595109751450730915868939345280632322311440447751147004834122887902636731500970312273563854019332961033600387<127>
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 80479912961209633165673764226586716030828227422778603193918972831534017145084350147045345430417006689148900371496604954049305178149598439969418665343866284821379579121928450907 (176 digits)
Using B1=17580000, B2=58560416470, polynomial Dickson(12), sigma=1:844344832
Step 1 took 47173ms
Step 2 took 17861ms
********** Factor found in step 2: 19080130953755561206603104543391831761348003717961
Found prime factor of 50 digits: 19080130953755561206603104543391831761348003717961
Prime cofactor 4217995838512245201595109751450730915868939345280632322311440447751147004834122887902636731500970312273563854019332961033600387 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 9, 2022 22:15:03 UTC 2022 年 7 月 10 日 (日) 7 時 15 分 3 秒 (日本時間)
4511e62300 / 3915Markus TervoorenJuly 11, 2022 11:24:39 UTC 2022 年 7 月 11 日 (月) 20 時 24 分 39 秒 (日本時間)

41×10189+49

c150

name 名前Bob Backstrom
date 日付July 11, 2022 17:38:01 UTC 2022 年 7 月 12 日 (火) 2 時 38 分 1 秒 (日本時間)
composite number 合成数
264787466820092773331244909545222319455964630957114002221045418826738235467799214194734676178615066541812758516002747014059759134884813982772616101261<150>
prime factors 素因数
741436529974805412321262396642491097263664239384707849493442891457<66>
357127624705907674368832620031175430586926948736934518776190519170762095135965965773<84>
factorization results 素因数分解の結果
Number: n
N=264787466820092773331244909545222319455964630957114002221045418826738235467799214194734676178615066541812758516002747014059759134884813982772616101261  ( 150 digits)
SNFS difficulty: 190 digits.
Divisors found:

Tue Jul 12 02:33:09 2022  p66 factor: 741436529974805412321262396642491097263664239384707849493442891457
Tue Jul 12 02:33:09 2022  p84 factor: 357127624705907674368832620031175430586926948736934518776190519170762095135965965773
Tue Jul 12 02:33:09 2022  elapsed time 00:43:53 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 41x10^189+4 = 45(188)6
#
n: 264787466820092773331244909545222319455964630957114002221045418826738235467799214194734676178615066541812758516002747014059759134884813982772616101261
m: 50000000000000000000000000000000000000
deg: 5
c5: 164
c0: 5
skew: 0.50
# Murphy_E = 3.171e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3546019 hash collisions in 28551501 relations (26589335 unique)
Msieve: matrix is 1340241 x 1340466 (464.6 MB)

Sieving start time : 2022/07/11 20:18:48
Sieving end time  : 2022/07/12 01:48:24

Total sieving time: 5hrs 29min 36secs.

Total relation processing time: 0hrs 32min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116830] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153517] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798712)
[    0.152024] smpboot: Total of 16 processors activated (102389.69 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 9, 2022 22:14:45 UTC 2022 年 7 月 10 日 (日) 7 時 14 分 45 秒 (日本時間)

41×10190+49

c116

name 名前Eric Jeancolas
date 日付July 2, 2022 19:46:22 UTC 2022 年 7 月 3 日 (日) 4 時 46 分 22 秒 (日本時間)
composite number 合成数
13417054781208848467850674352174124665390483656086373389876953496054806016236399862333452576239961362430858460820739<116>
prime factors 素因数
109028461306168260170111880708553305535243<42>
123060113116076615433142101271490569632534871494569137573711894728016036073<75>
factorization results 素因数分解の結果
13417054781208848467850674352174124665390483656086373389876953496054806016236399862333452576239961362430858460820739=109028461306168260170111880708553305535243*123060113116076615433142101271490569632534871494569137573711894728016036073

cado polynomial
n: 13417054781208848467850674352174124665390483656086373389876953496054806016236399862333452576239961362430858460820739
skew: 20963.733
c0: -60272386731217423562544360
c1: -22724600744415429828274
c2: -3431041551386585631
c3: 51015894051391
c4: -2463146070
c5: 65520
Y0: -16518455727498892133557
Y1: 417528353479099
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.074e-06
# f(x) = 65520*x^5-2463146070*x^4+51015894051391*x^3-3431041551386585631*x^2-22724600744415429828274*x-60272386731217423562544360
# g(x) = 417528353479099*x-16518455727498892133557

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 123060113116076615433142101271490569632534871494569137573711894728016036073 109028461306168260170111880708553305535243
Info:Square Root: Total cpu/real time for sqrt: 126.57/37.5959
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.68/116.487
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7163087
Info:Lattice Sieving: Average J: 1892.71 for 144550 special-q, max bucket fill -bkmult 1.0,1s:1.257600
Info:Lattice Sieving: Total time: 16478.3s
Info:Linear Algebra: Total cpu/real time for bwc: 2363.5/609.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1455.42, WCT time 372.46, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Linear Algebra: Lingen CPU time 65.82, WCT time 16.74
Info:Linear Algebra: Mksol: CPU time 806.14,  WCT time 206.08, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.19/1.13268
Info:Generate Free Relations: Total cpu/real time for freerel: 63.52/16.7114
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.18/31.7159
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 324.22
Info:Polynomial Selection (root optimized): Rootsieve time: 323.12
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 127.85/134.427
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.89999999999999s
Info:Filtering - Merging: Merged matrix has 425375 rows and total weight 66093039 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.45/20.5909
Info:Filtering - Merging: Total cpu/real time for replay: 14.15/11.4961
Info:Quadratic Characters: Total cpu/real time for characters: 15.17/5.94307
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21922/32.940/41.073/46.670/1.083
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17320/32.660/36.356/41.530/0.842
Info:Polynomial Selection (size optimized): Total time: 1785.87
Info:Square Root: Total cpu/real time for sqrt: 126.57/37.5959
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 35233.1/9655.22
Info:root: Cleaning up computation data in /tmp/cado.6gqp01ol
123060113116076615433142101271490569632534871494569137573711894728016036073 109028461306168260170111880708553305535243
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 2, 2022 10:09:41 UTC 2022 年 7 月 2 日 (土) 19 時 9 分 41 秒 (日本時間)

41×10191+49

c154

composite cofactor 合成数の残り
1112582750690583437163480425709962835341529041741856116638736337911371325053252707781178041276324673563228048864557887845326066454300093963156930633274009<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 12, 2022 11:12:59 UTC 2022 年 7 月 12 日 (火) 20 時 12 分 59 秒 (日本時間)

41×10195+49

c148

composite cofactor 合成数の残り
5640349728148573586518947720810630854352960833729792148635506627625785205958262599425424167208518297602630505368860882248614973674222770184547604703<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 26, 2022 09:40:26 UTC 2022 年 7 月 26 日 (火) 18 時 40 分 26 秒 (日本時間)

41×10196+49

c155

composite cofactor 合成数の残り
63335684514928256176486776747333274040438279760285075618403109771881903952478644827135456041415720359646818652237005114043902970442555356592231251654990981<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 26, 2022 12:21:17 UTC 2022 年 7 月 26 日 (火) 21 時 21 分 17 秒 (日本時間)

41×10198+49

c126

name 名前Eric Jeancolas
date 日付July 7, 2022 06:22:27 UTC 2022 年 7 月 7 日 (木) 15 時 22 分 27 秒 (日本時間)
composite number 合成数
283954560123921842163484702649990709397768658355273574113442100793354790826547000854421196144394106056428708089577578876607121<126>
prime factors 素因数
4775785482204817011687973845525747141370811208517<49>
59457142952080360593661800423530395606324830436582840863048715963539996629213<77>
factorization results 素因数分解の結果
283954560123921842163484702649990709397768658355273574113442100793354790826547000854421196144394106056428708089577578876607121=4775785482204817011687973845525747141370811208517*59457142952080360593661800423530395606324830436582840863048715963539996629213

cado polynomial
n: 283954560123921842163484702649990709397768658355273574113442100793354790826547000854421196144394106056428708089577578876607121
skew: 22100.61
c0: -3760057526857849588076900600
c1: 518943396862664501751382
c2: 53935047219032851583
c3: -317200317024183
c4: -56883847244
c5: 900480
Y0: -1345819582656182773056123
Y1: 1540509964755883
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.346e-07
# f(x) = 900480*x^5-56883847244*x^4-317200317024183*x^3+53935047219032851583*x^2+518943396862664501751382*x-3760057526857849588076900600
# g(x) = 1540509964755883*x-1345819582656182773056123

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 59457142952080360593661800423530395606324830436582840863048715963539996629213 4775785482204817011687973845525747141370811208517
Info:Square Root: Total cpu/real time for sqrt: 583.8/172.325
Info:Generate Free Relations: Total cpu/real time for freerel: 126.59/32.8369
Info:Filtering - Singleton removal: Total cpu/real time for purge: 117.39/136.039
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12022501
Info:Lattice Sieving: Average J: 3796.13 for 228760 special-q, max bucket fill -bkmult 1.0,1s:1.162420
Info:Lattice Sieving: Total time: 67631.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.56/2.2854
Info:Linear Algebra: Total cpu/real time for bwc: 9583.63/2466.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6021.83, WCT time 1541.82, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 144.94, WCT time 36.89
Info:Linear Algebra: Mksol: CPU time 3292.2,  WCT time 842.0, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.3/56.6829
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2461.64
Info:Polynomial Selection (root optimized): Rootsieve time: 2459.22
Info:Filtering - Merging: Merged matrix has 799947 rows and total weight 136556871 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 165.05/47.7553
Info:Filtering - Merging: Total cpu/real time for replay: 29.99/24.7124
Info:Quadratic Characters: Total cpu/real time for characters: 29.85/12.0244
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20098/36.870/44.698/49.370/0.872
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15882/36.520/40.078/45.490/0.992
Info:Polynomial Selection (size optimized): Total time: 1951.78
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 180.26/171.655
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 141.8s
Info:Square Root: Total cpu/real time for sqrt: 583.8/172.325
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 141072/38179.5
Info:root: Cleaning up computation data in /tmp/cado.jxv5jzqp
59457142952080360593661800423530395606324830436582840863048715963539996629213 4775785482204817011687973845525747141370811208517
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 2, 2022 11:53:51 UTC 2022 年 7 月 2 日 (土) 20 時 53 分 51 秒 (日本時間)
4511e64480Ignacio SantosJuly 3, 2022 18:56:25 UTC 2022 年 7 月 4 日 (月) 3 時 56 分 25 秒 (日本時間)

41×10199+49

c195

composite cofactor 合成数の残り
260478212585798981974907689062710447336387916860437044321956153257756532920634194563247921892113736223243805065729453351528689451521828074214689954689497264343455135486789307432904624314179925643<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10200+49

c156

composite cofactor 合成数の残り
158095244372468325668265940221650369342645200125896622635420547662232776458266263910462355139746510032386352733696426404486308410816862018231412780580709537<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10202+49

c127

name 名前Eric Jeancolas
date 日付July 7, 2022 07:37:17 UTC 2022 年 7 月 7 日 (木) 16 時 37 分 17 秒 (日本時間)
composite number 合成数
3865011415725415101225060446177039113052151115188936500413407854496832292384382686375691001836933728948350964405576746764980339<127>
prime factors 素因数
505835201984941812375202154859318305851809603809<48>
7640851013450171997714623071142942764686165497546199371709524703469589663881171<79>
factorization results 素因数分解の結果
3865011415725415101225060446177039113052151115188936500413407854496832292384382686375691001836933728948350964405576746764980339=505835201984941812375202154859318305851809603809*7640851013450171997714623071142942764686165497546199371709524703469589663881171

cado polynomial
n: 3865011415725415101225060446177039113052151115188936500413407854496832292384382686375691001836933728948350964405576746764980339
skew: 23324.668
c0: 4185736306587882722042286690
c1: 353623346232982115537319
c2: -79646394991080633289
c3: -1507639773196961
c4: 64512208596
c5: -415980
Y0: -1947404285352895233362033
Y1: 60069296219337857
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.093e-07
# f(x) = -415980*x^5+64512208596*x^4-1507639773196961*x^3-79646394991080633289*x^2+353623346232982115537319*x+4185736306587882722042286690
# g(x) = 60069296219337857*x-1947404285352895233362033

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.sieve.ncurves0 = 14
tasks.sieve.ncurves1 = 16
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 505835201984941812375202154859318305851809603809 7640851013450171997714623071142942764686165497546199371709524703469589663881171
Info:Square Root: Total cpu/real time for sqrt: 617.16/181.666
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20132/36.840/45.128/48.840/0.854
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15995/36.100/40.511/45.930/1.047
Info:Polynomial Selection (size optimized): Total time: 1937.57
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 197.96/196.011
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 158.9s
Info:Quadratic Characters: Total cpu/real time for characters: 32.1/12.7085
Info:Square Root: Total cpu/real time for sqrt: 617.16/181.666
Info:Linear Algebra: Total cpu/real time for bwc: 11271.1/2902.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7122.47, WCT time 1823.13, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Linear Algebra: Lingen CPU time 150.24, WCT time 38.15
Info:Linear Algebra: Mksol: CPU time 3861.79,  WCT time 992.1, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 137.38/159.194
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12331316
Info:Lattice Sieving: Average J: 3798.16 for 274729 special-q, max bucket fill -bkmult 1.0,1s:1.203770
Info:Lattice Sieving: Total time: 79428s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.54/2.28619
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.1/57.8596
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2750.4
Info:Polynomial Selection (root optimized): Rootsieve time: 2747.97
Info:Generate Free Relations: Total cpu/real time for freerel: 126.59/32.1799
Info:Filtering - Merging: Merged matrix has 851933 rows and total weight 145187227 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 177.75/51.1172
Info:Filtering - Merging: Total cpu/real time for replay: 32.34/26.7491
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 165159/44619.2
Info:root: Cleaning up computation data in /tmp/cado.6lu820h5
505835201984941812375202154859318305851809603809 7640851013450171997714623071142942764686165497546199371709524703469589663881171
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 2, 2022 11:54:04 UTC 2022 年 7 月 2 日 (土) 20 時 54 分 4 秒 (日本時間)
4511e64480Ignacio SantosJuly 3, 2022 18:53:01 UTC 2022 年 7 月 4 日 (月) 3 時 53 分 1 秒 (日本時間)

41×10206+49

c134

name 名前Eric Jeancolas
date 日付July 16, 2022 16:35:45 UTC 2022 年 7 月 17 日 (日) 1 時 35 分 45 秒 (日本時間)
composite number 合成数
14217723677667865572405064702782559799591981976105682813576160746954865735936519024591005669879395297649577523056091004038713237364457<134>
prime factors 素因数
801765688755813951828190155063677571145789824832759149041938849<63>
17733015863688350772425154860090860081556974180080651830728584690923593<71>
factorization results 素因数分解の結果
14217723677667865572405064702782559799591981976105682813576160746954865735936519024591005669879395297649577523056091004038713237364457=801765688755813951828190155063677571145789824832759149041938849*17733015863688350772425154860090860081556974180080651830728584690923593

cado polynomial
n: 14217723677667865572405064702782559799591981976105682813576160746954865735936519024591005669879395297649577523056091004038713237364457
skew: 75148.869
c0: 3396289129957627818412914353880
c1: 221709758342864272028276439
c2: 767413428205639435732
c3: -24590584711820867
c4: -473217849320
c5: 2486400
Y0: -41032644575324124084621700
Y1: 3605750661217274273
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.340e-07
# f(x) = 2486400*x^5-473217849320*x^4-24590584711820867*x^3+767413428205639435732*x^2+221709758342864272028276439*x+3396289129957627818412914353880
# g(x) = 3605750661217274273*x-41032644575324124084621700

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 17733015863688350772425154860090860081556974180080651830728584690923593 801765688755813951828190155063677571145789824832759149041938849
Info:Square Root: Total cpu/real time for sqrt: 452.57/134.008
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.17/85.9227
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.8s
Info:Filtering - Merging: Merged matrix has 1240410 rows and total weight 211163749 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 321.06/90.7647
Info:Filtering - Merging: Total cpu/real time for replay: 46.16/40.8993
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 53898/38.690/47.841/53.560/0.975
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44074/38.680/42.650/48.450/1.001
Info:Polynomial Selection (size optimized): Total time: 11203
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 200.36/171.603
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 159.8s
Info:Quadratic Characters: Total cpu/real time for characters: 41.54/18.0723
Info:Square Root: Total cpu/real time for sqrt: 452.57/134.008
Info:Linear Algebra: Total cpu/real time for bwc: 24223.4/6457.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15454.72, WCT time 4160.86, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Linear Algebra: Lingen CPU time 239.95, WCT time 61.36
Info:Linear Algebra: Mksol: CPU time 8319.21,  WCT time 2153.35, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19456 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 94.86/103.884
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17012678
Info:Lattice Sieving: Average J: 3800.59 for 562437 special-q, max bucket fill -bkmult 1.0,1s:1.177940
Info:Lattice Sieving: Total time: 227065s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.2/4.08885
Info:Generate Free Relations: Total cpu/real time for freerel: 247.6/62.8102
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6230.24
Info:Polynomial Selection (root optimized): Rootsieve time: 6227.73
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 431769/44946.6
Info:root: Cleaning up computation data in /tmp/cado.3tv1qpuh
17733015863688350772425154860090860081556974180080651830728584690923593 801765688755813951828190155063677571145789824832759149041938849
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 2, 2022 13:12:02 UTC 2022 年 7 月 2 日 (土) 22 時 12 分 2 秒 (日本時間)
4511e64480Ignacio SantosJuly 3, 2022 13:52:14 UTC 2022 年 7 月 3 日 (日) 22 時 52 分 14 秒 (日本時間)

41×10207+49

c120

name 名前Ignacio Santos
date 日付July 2, 2022 10:53:50 UTC 2022 年 7 月 2 日 (土) 19 時 53 分 50 秒 (日本時間)
composite number 合成数
269718454846717871178546989886558074221125406044774811748438615045352176226823558745873777325535361080245757677574600739<120>
prime factors 素因数
513370154973624859398785981244539807<36>
525387875071496998600806447370047294020271335907164814138352254801374962184278170877<84>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2216429786
Step 1 took 4828ms
Step 2 took 2875ms
********** Factor found in step 2: 513370154973624859398785981244539807
Found prime factor of 36 digits: 513370154973624859398785981244539807
Prime cofactor 525387875071496998600806447370047294020271335907164814138352254801374962184278170877 has 84 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10208+49

c156

composite cofactor 合成数の残り
216762690427532239347543475414356129490838360708671513526626082402335261090567175193470168997325375990315083904124651181054278523471235813115717864399557721<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10209+49

c183

composite cofactor 合成数の残り
930014804265136436167072961163791297434232294378056414985140736981850267010540614006514462162800309291555926051734032786018210644308191251127956132416376425572076001023260596179040887<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10210+49

c205

composite cofactor 合成数の残り
2575255886218411345999572381900649391598937436859122448266877913022679587667614612077271746277247777554170193511008402369034419739575050116991990577327145684361061427515842848589777314482962735167970751123<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10211+49

c163

composite cofactor 合成数の残り
2589573356277284383583196182675435462563147330619572536060565570935982716996959287048371983898825802835941804525219724029473996691922344553177156544766322259475891<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10213+49

c136

composite cofactor 合成数の残り
2140520744056913779358888133348105544821463673505295456357122041186684007023857801386811592683104674185966734707505713171004525614703253<136>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 2, 2022 13:13:14 UTC 2022 年 7 月 2 日 (土) 22 時 13 分 14 秒 (日本時間)
4511e64480Ignacio SantosJuly 3, 2022 13:51:29 UTC 2022 年 7 月 3 日 (日) 22 時 51 分 29 秒 (日本時間)
5043e66454Ignacio SantosJuly 12, 2022 10:27:21 UTC 2022 年 7 月 12 日 (火) 19 時 27 分 21 秒 (日本時間)

41×10214+49

c193

composite cofactor 合成数の残り
5301301056617006879536400957260861026993897725912179101425065165464350995891758778752005009829077472667819474394842514859292550687560191206500815902147875116338518553045051902104739608721674049<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10217+49

c189

composite cofactor 合成数の残り
564713380600502085112710952788812722572407029485728177206620975548956774854273326647008937911034862393023196496348898432156591797063292454234707235425177284259523382600898252575647526037123<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10218+49

c217

composite cofactor 合成数の残り
1998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208577<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10219+49

c217

composite cofactor 合成数の残り
1857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782853<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10220+49

c171

composite cofactor 合成数の残り
451071405763486251582438346487201690421285475121590091285323550615848772562150957970038753184030654359730990370077399271014877334041202544997154997219533695847816435918259<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10221+49

c211

composite cofactor 合成数の残り
7078370881119288517988154971975564029343489410645485870223381407506849292234941044871033636300207926552812016161754413280023849414527001767547913593956700533095477967874538618037528032141847748400713920705493209<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10222+49

c145

name 名前ebina
date 日付July 20, 2022 22:23:19 UTC 2022 年 7 月 21 日 (木) 7 時 23 分 19 秒 (日本時間)
composite number 合成数
6255388683504541003654459513995614044822025502909443238359517028182813166749731645656435303398754647635360092189091980833841710332312459023480507<145>
prime factors 素因数
642475178325322906896403918608911755826443138563544073618521049<63>
9736389660702300963538073246300532836546898266793737321898315716662768035632254643<82>
factorization results 素因数分解の結果
Number: 45556_222
N = 6255388683504541003654459513995614044822025502909443238359517028182813166749731645656435303398754647635360092189091980833841710332312459023480507 (145 digits)
Divisors found:
r1=642475178325322906896403918608911755826443138563544073618521049 (pp63)
r2=9736389660702300963538073246300532836546898266793737321898315716662768035632254643 (pp82)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 71.75 hours.
Factorization parameters were as follows:
n: 6255388683504541003654459513995614044822025502909443238359517028182813166749731645656435303398754647635360092189091980833841710332312459023480507
# norm 4.908453e-14 alpha -7.454963 e 9.630e-12 rroots 5
skew: 14448847.37
c0: -201181625440933375762592119931784866775
c1: 1758070927327276973874222110647
c2: 9004140463486864387659651
c3: 228502093927295925
c4: -52326928208
c5: 240
Y0: -30423531773154884052413182178
Y1: 1633581218904017
type: gnfs
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 41428303
Relations: 5700186 relations
Pruned matrix : 3325214 x 3325442
Polynomial selection time: 0.69 hours.
Total sieving time: 65.27 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.05 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: gnfs,144,5,65,2000,1e-05,0.28,250,20,50000,3600,15900000,15900000,29,29,58,58,2.6,2.6,100000
total time: 71.75 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 17:13:06 UTC 2022 年 6 月 30 日 (木) 2 時 13 分 6 秒 (日本時間)
4511e64480Ignacio SantosJune 30, 2022 17:21:41 UTC 2022 年 7 月 1 日 (金) 2 時 21 分 41 秒 (日本時間)
5043e66454Ignacio SantosJuly 9, 2022 13:24:14 UTC 2022 年 7 月 9 日 (土) 22 時 24 分 14 秒 (日本時間)

41×10223+49

c169

composite cofactor 合成数の残り
7377692001020350619227618726963194146249066173860519646495169159208852782403415245716869360998163299701926230564432679717238061143320488738846724208401783681016893431779<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10224+49

c199

composite cofactor 合成数の残り
2349203743212869379478210692098942735036899800047838199086865763121065092703332998954176463065667442024847804974873741217615042705907322017058492088905106724826216555835193375904236702039554174264047<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10225+49

c218

composite cofactor 合成数の残り
65102478319239218408734991965369698904467562620311364765610149985757165609075318505300704123634801823578216019715393178669026259945253071212590440759847418337086697630929706008704055267672396427879731752129421084690747<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10228+49

c188

composite cofactor 合成数の残り
61221946226271228101027195973693762559257830805735975544272540661909228190667325723910432806511562175799271585785985400014460043252643661859312988122292713928482611099116326196169300754183<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10230+49

c223

composite cofactor 合成数の残り
7525392344038794961346758310233866214074153219175994794278643164859034387320696239314759651853471463121212786650362188323303160034119908632486217170503431053966879155113262183942423538875145319914817257447041996968067146587<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10231+49

c232

composite cofactor 合成数の残り
1138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10233+49

c150

name 名前Ignacio Santos
date 日付June 29, 2022 17:50:34 UTC 2022 年 6 月 30 日 (木) 2 時 50 分 34 秒 (日本時間)
composite number 合成数
129249803242094281660602229264779833618703691463454474780272713456217335662124250689287596924939650757436608904134776945670565933147922959496774771283<150>
prime factors 素因数
4250418438222601209038897207121488773700456897<46>
30408724486933740998532733016754580259630182487667761968732140856637442062207406313492506473328313585939<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3803465139
Step 1 took 6000ms
Step 2 took 3531ms
********** Factor found in step 2: 4250418438222601209038897207121488773700456897
Found prime factor of 46 digits: 4250418438222601209038897207121488773700456897
Prime cofactor 30408724486933740998532733016754580259630182487667761968732140856637442062207406313492506473328313585939 has 104 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10234+49

c173

composite cofactor 合成数の残り
44189135515908147536297465091468263787900295357909329895660549215632728243735436939526996451905558214066697185554483922467365068887774336925947402750731764878239581324958807<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10235+49

c198

composite cofactor 合成数の残り
458856692310274844148051839599927074860139201277827684568438187095522056631444945512587465056839395630193816199717062946196882564641002013152078849069395204946826797650996472882177792781665125720377<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10236+49

c213

composite cofactor 合成数の残り
742199903400483905959536295683119638435813232806047497417155066165473315028259195419563483662871930471108861180494457982895487372499159318042538994518938119082003235992738095228612325772005262547324178830574809673<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10237+49

c193

composite cofactor 合成数の残り
7815328757477141565713363720321516669221533938473597950252266696212597593368181320168248372304497866146448187558480725053399112316700774588030766919853595309858641422416068791127714784723134051<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10238+49

c232

composite cofactor 合成数の残り
1080045729452295955416302361973606653815070819019961447319863361254675531134088372755581995075012547760544146637376669446440948489205164211785945810639070012557718038920612202794991862724733676265238536423604429974571297975460075509<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10239+49

c219

composite cofactor 合成数の残り
125991509477467676097710814315137614253357323398941734943162293928523823627229338502658987386812791669709443944531080571068761205452606136870561430478631471611996967299981216597562999923739830690692513186817379909603973<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10240+49

c214

composite cofactor 合成数の残り
7234556425316902922016768986137109070409832255605366813584810467596600779864889500429973567034763404203006974686228098453245770920682864533035862598929873848931464170738308847394479303435125233939586227529300110563<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10241+49

c230

composite cofactor 合成数の残り
26589330210235898146912384620648729614023234207795988917047203515388455090324731115751958418503520109688754999379047058794912984263881489794614421304680000688641021682499606104988453026662532172260035377503545906906734970173840607<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10243+49

c217

composite cofactor 合成数の残り
3462460085537074419952061256378258353955486925144890039425778263850357737056810537224365349314212559058264012381299111563323006381792635331752741178448322267880715364310799354923926109387058606383606007584716535157637<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10244+49

c234

composite cofactor 合成数の残り
165122416023781376318366190846112259449065324785844708111286536471575153945313956101379891461653370575118178063651769283902442122966111678265265110778184140082285269574376258760157735262037576466450047473784656425462683415995209555187<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10247+49

c222

composite cofactor 合成数の残り
104715830838816006019997204800021533337898475940455500041818004809710832666651049619112269368359284881624769036563538978738277409006976387279770201334767229270409262076499086094371335396163337547812525598380735044039305459<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10248+49

c245

composite cofactor 合成数の残り
52799670324009684232215525678668933189100087570184927625817750991603564621645289239169628599392159892855303147375470045845567403286457528460310101478390769072271158502034719002730129294802451965177973522897027764899809406068098696749600782980477<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10249+49

c250

composite cofactor 合成数の残り
1138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10252+49

c219

composite cofactor 合成数の残り
625595189426756336771481737552734635382658794629283280674033079736947053172785457488047220008110406498083436463364126734853141917569331961283145326917829484656337016444119820158292693772688252950138697184927177766495499<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10253+49

c210

composite cofactor 合成数の残り
160429707664550975679126252157315114219893611914577270459215185331446453892244194744987527499699405981657247717481812935491685726453293620811359906108283404712824564806714052505163043519558844584032233622634449<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10254+49

c205

composite cofactor 合成数の残り
1170304889466539722173805341723218537591532367329276443875036446363239189389636499831433911577148636017751075615236623223573893986113855678382654017622315424566536767052106950321029719949207219790280848593<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10255+49

c229

composite cofactor 合成数の残り
1770429887082145133384745112890261860313594250564783867117005297430492529720088004915497340233088453136284260903694784336253492695167246080765037731079903552986073668631513440432928300681044883729264088717684802204845338128052621<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10256+49

c206

composite cofactor 合成数の残り
53897050132455710198268957400286622834348707617384140419043983814081767567648006374260924122057213626753532162973707123213915177963413555250291649632233139962261176529944589550575832163360978363599045972957<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10257+49

c257

composite cofactor 合成数の残り
37962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10258+49

c222

composite cofactor 合成数の残り
408874778359132322978553811590198948154095192217489459211181488613334723650280551429175948328470871363233376082220877688319769333574761830896571834994548229540579201742335476418378769170751557668410445663349484681472130671<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10259+49

c233

composite cofactor 合成数の残り
90565053837392011578319220215283657359381324631679513658950799226406386112375214649356923142561596705781218815174740155416625868153461491534035643916586433129615926734509671008621928412974591316937137238533886589647680644844062467043<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10260+49

c249

composite cofactor 合成数の残り
170276608262354688185593815309148713418095963838673257672029323004081856158476935304103442420520551200626652226101969696308663619153533209910277180530195824067444319736156200986774013362903063424243366923493897222022480480367204955717877034280243539<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10261+49

c183

composite cofactor 合成数の残り
112942166407343531725188149143489320499404798695226779878203809765545875964030246423236791136940787192949952674494985721610923147921104940280198068215880773140884924154720028449403017<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10262+49

c229

composite cofactor 合成数の残り
8273155262689029331419853063154080505698216440049832776934866407091573809285851039665703473839859417348404951026390000415492430553177517976149120760307618079258198467213737574156598464833211508945284214698513669208122484270617609<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10263+49

c263

composite cofactor 合成数の残り
37962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10265+49

c256

composite cofactor 合成数の残り
4389349448359894246721143297196140925126394076232237404455670394507708457074420383453774215201737927122680354378700344888216833496527354557506896693913513970272978582673949211310897601343381150658279050840732355531677186231443309475455205362889136120773719<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10266+49

c194

composite cofactor 合成数の残り
35538167789671619144112378128318844891295408394673131431004500602747205179241532317994247993543502577054941244020214605162682418987786013385743963109122166772450483383559327909259220702792032657<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10267+49

c230

composite cofactor 合成数の残り
12801680067282427276860015877753859840679961988397961660629106794563975652813008198739441813801055669983955715059789812647816867234586043111217159930920475931133562157893342687270869736516656267233406619478316785055059058013035379<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10270+49

c240

composite cofactor 合成数の残り
403829591452081630539534625348918487364817691891962700766921700016698070457614084236436131997130667220458407996404925953745368008844171227172118369816044926502865313993539783785357448060069130636286715396266364619867900907717521969022385701<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10272+49

c238

composite cofactor 合成数の残り
7930107944869993280100661544780316361142516597085660317067971554398996784633151581341722914769795293872173441056659203949927729335542680054536124919948367416799764413407227470314750932678976291995353486296912094451222965828320041703529893<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10273+49

c247

composite cofactor 合成数の残り
3278904040045295808064450009293772502767375173862169123684340460877375214812101400471680016255350593234147914768719789709510729389771902772981500517107963680814897909936316880516123797768700626439377435840836516720193107665678622604941656583088687<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10274+49

c216

composite cofactor 合成数の残り
487961287791765856154201203758033941602250126943370744612701053890715604154651860862666938619904469124230537542150986971545866384161853236311799612146735322053249242529079268495153255884669755499905621331836270680993<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10276+49

c263

composite cofactor 合成数の残り
22835312851908890452027633066678863991297549735636454603338033278022718009670299977110359018346992193453871871033635078162489374814861544738348514874444074918251561995681779600103029086480255718772417353174359234910344056280027423199559319348375066528286603375167<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10277+49

c226

composite cofactor 合成数の残り
2872899047361002306420000683141345048841001018728083069806707106030492829074695574503857915677983829395043060122988464467923047328091593614409708203042274879707517646891586740307693192980254903390595085937214276438778682267469<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10278+49

c246

composite cofactor 合成数の残り
412784991539844177105511947672221636499231739789202627582469172091456787266185826516368264938480898000179062691943678725510336264589884653258886089567098963679270109377822278769069803110375389737562409181896307365331209847756799437094346399652177<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10279+49

c188

composite cofactor 合成数の残り
45738149590827039169441323217988646910248429101012444224884464441029443563754732024963303718121266150337894954881462251094724718336504950554225968908390869198229686239185197593784885447603<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 20:21:24 UTC 2022 年 6 月 30 日 (木) 5 時 21 分 24 秒 (日本時間)
4511e64480Ignacio SantosJuly 2, 2022 21:59:27 UTC 2022 年 7 月 3 日 (日) 6 時 59 分 27 秒 (日本時間)

41×10281+49

c238

composite cofactor 合成数の残り
4807240416911354077999344277424605993642118760804608691162342495196973208225955524857795439528287889756024267545581430298015780604068263959168542833904721410668836881466476438643331489614900944332601829442633541646929395694328202452248259<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10282+49

c254

composite cofactor 合成数の残り
63863362148102815681860637342972734989580763569686515178097914348252069995380557277941968669267640450422982943708597765813307154135976230960373931518813196340357077115659683139791267694126551387450119326179057740062165782363947436272347382584794754582511<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10284+49

c209

composite cofactor 合成数の残り
85731626676136567688589865803249664251288089148201172569375062810090449094304157148533282879356915004697758977378689553874267336208388463305535019011811944427378685312384260699872640370319919651123508810798341<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10285+49

c275

composite cofactor 合成数の残り
17437921526700452810193040234668113121141259445870587273976960153215858499054256535086337763355080368791091442586600164872758988264891298683777811942061764814920355268787042205625777585192637492302900396092280119431782650833383284501976207517463206950988782430218220008833539<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10286+49

c275

composite cofactor 合成数の残り
53871841388069357942461642002617155682967799479447456004264877451199952024938204837563247727954905111361493505194411286734313529688122310833617008468369145341867168883184175034936582680993219226886442388172792324143255545192388310246327444914511982579189816005117639604322951<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10287+49

c239

composite cofactor 合成数の残り
15633198543512316734518127464271097934443118712342816255214551485960671345236104292873774020825078684654061088871627296071891215684126192788674621524505887435304995280824866614487283005645923096815556910439871132176087504183939079265061051<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10288+49

c269

composite cofactor 合成数の残り
50872621537064290193283818958387930271419406888673657415251837415823578410160407606659357118916866240068099638412366183519994994235547436691257761839754650273581435603811834174245033137653470297116959339017449128871482174156857053915670696710894945787764399527069558529<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10289+49

c290

composite cofactor 合成数の残り
11388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10290+49

c283

composite cofactor 合成数の残り
7966296333368719233046336044229001594805893961880797953048887746094534880560619594124740651393869864246305323081541555905031146703124169246444869277312907469742704716464785562186078863737853545105624501324422024410923668432984977686870290019585353265488623200082376944484528515995029<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10291+49

c289

composite cofactor 合成数の残り
3940792003075740099961553248750480584390618992695117262591311034217608612072279892349096501345636293733179546328335255670895809304113802383698577470203767781622452902729719338715878508266051518646674356016916570549788542868127643214148404459823144944252210688196847366397539407920030757401<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10292+49

c188

composite cofactor 合成数の残り
19076335835775301554973930425837701195080412521646083258525573583623141127362225264531455161890360989103099836796144290593389823238851104182501704564432736083714375367183937581647191293241<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 20:21:09 UTC 2022 年 6 月 30 日 (木) 5 時 21 分 9 秒 (日本時間)
4511e64480Ignacio SantosJuly 2, 2022 19:40:21 UTC 2022 年 7 月 3 日 (日) 4 時 40 分 21 秒 (日本時間)

41×10295+49

c237

composite cofactor 合成数の残り
217174528107180889651902366542870186105457903458508609621390866875201114891194538111196434587058819316510667024226252317839193547149847571849554399579373413844297215119409260665424862504292932565382004183544185770174780752661604631702533<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10296+49

c218

composite cofactor 合成数の残り
16159586107505699947417395236393260310182930384825592513780172973198996142902612733166627495618489548791424085017184462206949723608663073303342689411102868788337867768814956825238001770626577837973307897721004935139071<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10297+49

c293

composite cofactor 合成数の残り
15384361383902104430545987233231421319873142807398301866685878356980222465370177753162799563534410688904198204607503665980749285940494791080372406609421833185493372717298476122720675531060650405771912208578920272986112049181927202702844680988381430100215981424696928080737128542718244051505341<293>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10298+49

c290

composite cofactor 合成数の残り
77243655833290659039472848779238135784608979113488036309287001198932317239085601237777661919829994264549282865038545386841236062807544532405073487206418520661169611725735866190035781062477955272922450695165358542340743320251807475359015682330300234206004952099065035329187091330522567069779<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10299+49

c235

composite cofactor 合成数の残り
2490790631100760875097455957667159857278452614157420837212533329673678903413906463212002621525282411515679515580986183802000266947869314718666954362603865309968237888870766778927448222621728243066536697796521830726414082710134333119837<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

41×10300+49

c285

name 名前Dmitry Domanov
date 日付July 1, 2022 10:06:46 UTC 2022 年 7 月 1 日 (金) 19 時 6 分 46 秒 (日本時間)
composite number 合成数
214681571114654130900430906726972699676695273257565776923951000840597816015227050855498400726234256811984838148289134333335989486568028002081801855576859111853413303636959722083065706202541540210236705470945001154093382087628158600859954143550584526185685250989363212575624532331732509<285>
prime factors 素因数
16562722142323300080129679491117682413403<41>
composite cofactor 合成数の残り
12961732333000433776072001497819174898828584136893627660153407978126344656074160120087387976704351613478783469691719849670593372929423183865459713349023513262910123962102813250669839857659388498827547181378994296688702457413128636822365459184103<245>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ddfb5e3635b5 with GMP-ECM 7.0.5-dev on Fri Jul  1 08:01:18 2022 
Input number is 214681571114654130900430906726972699676695273257565776923951000840597816015227050855498400726234256811984838148289134333335989486568028002081801855576859111853413303636959722083065706202541540210236705470945001154093382087628158600859954143550584526185685250989363212575624532331732509 (285 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3488176730
Step 1 took 0ms
Step 2 took 4835ms
********** Factor found in step 2: 16562722142323300080129679491117682413403
Found prime factor of 41 digits: 16562722142323300080129679491117682413403
Composite cofactor 12961732333000433776072001497819174898828584136893627660153407978126344656074160120087387976704351613478783469691719849670593372929423183865459713349023513262910123962102813250669839857659388498827547181378994296688702457413128636822365459184103 has 245 digits

c245

name 名前Dmitry Domanov
date 日付July 3, 2022 07:05:14 UTC 2022 年 7 月 3 日 (日) 16 時 5 分 14 秒 (日本時間)
composite number 合成数
12961732333000433776072001497819174898828584136893627660153407978126344656074160120087387976704351613478783469691719849670593372929423183865459713349023513262910123962102813250669839857659388498827547181378994296688702457413128636822365459184103<245>
prime factors 素因数
528371142750781596437565705903695596219<39>
composite cofactor 合成数の残り
24531491756948832818343007076314603533194207197861338925870611429171252935790132672583648695963289676091790809302189858577194233016252541104098470084290123293337338182822902225579816392869529880758552996037<206>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b48c9e235dfc with GMP-ECM 7.0.5-dev on Fri Jul  1 14:46:26 2022 
Input number is 12961732333000433776072001497819174898828584136893627660153407978126344656074160120087387976704351613478783469691719849670593372929423183865459713349023513262910123962102813250669839857659388498827547181378994296688702457413128636822365459184103 (245 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4293080520
Step 1 took 0ms
Step 2 took 20030ms
********** Factor found in step 2: 528371142750781596437565705903695596219
Found prime factor of 39 digits: 528371142750781596437565705903695596219
Composite cofactor 24531491756948832818343007076314603533194207197861338925870611429171252935790132672583648695963289676091790809302189858577194233016252541104098470084290123293337338182822902225579816392869529880758552996037 has 206 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 1, 2022 07:38:17 UTC 2022 年 7 月 1 日 (金) 16 時 38 分 17 秒 (日本時間)
4511e63584Dmitry DomanovJuly 9, 2022 14:15:40 UTC 2022 年 7 月 9 日 (土) 23 時 15 分 40 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJuly 9, 2022 14:15:40 UTC 2022 年 7 月 9 日 (土) 23 時 15 分 40 秒 (日本時間)