Table of contents 目次

37×10102+89

c96

name 名前Ignacio Santos
date 日付June 29, 2022 16:46:39 UTC 2022 年 6 月 30 日 (木) 1 時 46 分 39 秒 (日本時間)
composite number 合成数
374177951266901820317077991386868530210399655222322785074854602538471763399150628186125255037669<96>
prime factors 素因数
2793828008279592944062958095566070764310049<43>
133930202631663173112674567583276490625377786864141381<54>
factorization results 素因数分解の結果
N=374177951266901820317077991386868530210399655222322785074854602538471763399150628186125255037669
  ( 96 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=2793828008279592944062958095566070764310049 (pp43)
 r2=133930202631663173112674567583276490625377786864141381 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.17 hours.
Scaled time: 1.34 units (timescale=7.746).
Factorization parameters were as follows:
n: 374177951266901820317077991386868530210399655222322785074854602538471763399150628186125255037669
m: 10000000000000000000000000
deg: 4
c4: 925
c0: 2
skew: 0.22
# Murphy_E = 2.134e-07
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 290001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 36786 x 37030
Total sieving time: 0.17 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,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.17 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)

37×10110+89

c102

name 名前Dmitry Domanov
date 日付June 29, 2022 19:04:13 UTC 2022 年 6 月 30 日 (木) 4 時 4 分 13 秒 (日本時間)
composite number 合成数
615806156386304823123369118115347587178076463602569417035245291882658013073621953410385689195384334069<102>
prime factors 素因数
615480285164317054101927816069030424126390055599<48>
1000529458424327547669356055720538559503113395283589531<55>
factorization results 素因数分解の結果
N=615806156386304823123369118115347587178076463602569417035245291882658013073621953410385689195384334069
  ( 102 digits)
SNFS difficulty: 110 digits.
Divisors found:
p48 factor: 615480285164317054101927816069030424126390055599
p55 factor: 1000529458424327547669356055720538559503113395283589531
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.21 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 615806156386304823123369118115347587178076463602569417035245291882658013073621953410385689195384334069
m: 1000000000000000000000000000
deg: 4
c4: 925
c0: 2
skew: 0.22
# Murphy_E = 9.261e-08
type: snfs
lss: 1
rlim: 490000
alim: 490000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 485001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 53822 x 54048
Total sieving time: 0.20 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,110.000,4,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,20000
total time: 0.21 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)

37×10112+89

c97

name 名前Dmitry Domanov
date 日付June 29, 2022 19:16:30 UTC 2022 年 6 月 30 日 (木) 4 時 16 分 30 秒 (日本時間)
composite number 合成数
4757762988988949035353191040272621535013115582961774160499778229336005331870319162537687454275693<97>
prime factors 素因数
8667785267870087612726553600170689877<37>
548901806165539884411781538674364962278640874810915080308409<60>
factorization results 素因数分解の結果
N=4757762988988949035353191040272621535013115582961774160499778229336005331870319162537687454275693
  ( 97 digits)
SNFS difficulty: 113 digits.
Divisors found:
p37 factor: 8667785267870087612726553600170689877
p60 factor: 548901806165539884411781538674364962278640874810915080308409
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.23 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4757762988988949035353191040272621535013115582961774160499778229336005331870319162537687454275693
m: 10000000000000000000000000000
deg: 4
c4: 37
c0: 8
skew: 0.68
# Murphy_E = 9.767e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 495001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54012 x 54237
Total sieving time: 0.22 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,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 0.23 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)

37×10117+89

c101

name 名前Dmitry Domanov
date 日付June 29, 2022 22:39:01 UTC 2022 年 6 月 30 日 (木) 7 時 39 分 1 秒 (日本時間)
composite number 合成数
23606157597863580088531991326853248685485570047521658973052060184719747725754893909524585407441844121<101>
prime factors 素因数
89092580744561488384428064271909265689747<41>
264962103472399182531851928720059774622248542142381031355043<60>
factorization results 素因数分解の結果
N=23606157597863580088531991326853248685485570047521658973052060184719747725754893909524585407441844121
  ( 101 digits)
SNFS difficulty: 118 digits.
Divisors found:
p41 factor: 89092580744561488384428064271909265689747
p60 factor: 264962103472399182531851928720059774622248542142381031355043
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.43 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 23606157597863580088531991326853248685485570047521658973052060184719747725754893909524585407441844121
m: 100000000000000000000000000000
deg: 4
c4: 185
c0: 4
skew: 0.38
# Murphy_E = 5.394e-08
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 525001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54692 x 54917
Total sieving time: 0.42 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 0.43 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)

37×10120+89

c120

name 名前Ignacio Santos
date 日付June 30, 2022 12:31:37 UTC 2022 年 6 月 30 日 (木) 21 時 31 分 37 秒 (日本時間)
composite number 合成数
513888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<120>
prime factors 素因数
761065463508427091795553900058987486839995933<45>
675222978217824126595622340208106578018954316863962132047642494872526390733<75>
factorization results 素因数分解の結果
N=513888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
  ( 120 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=761065463508427091795553900058987486839995933 (pp45)
 r2=675222978217824126595622340208106578018954316863962132047642494872526390733 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.82 hours.
Scaled time: 6.35 units (timescale=7.740).
Factorization parameters were as follows:
n: 513888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 1000000000000000000000000000000
deg: 4
c4: 37
c0: 8
skew: 0.68
# Murphy_E = 4.11e-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 : 79482 x 79730
Total sieving time: 0.81 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)

37×10121+89

c103

name 名前Ignacio Santos
date 日付June 30, 2022 13:19:34 UTC 2022 年 6 月 30 日 (木) 22 時 19 分 34 秒 (日本時間)
composite number 合成数
2797746628783533646732207779862286460653620777374153940124305470359531237483408439736209883417541534737<103>
prime factors 素因数
137373620554065678808173230535234141486785514313<48>
20365967043013427850704439007513792524755627252899891849<56>
factorization results 素因数分解の結果
N=2797746628783533646732207779862286460653620777374153940124305470359531237483408439736209883417541534737
  ( 103 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=137373620554065678808173230535234141486785514313 (pp48)
 r2=20365967043013427850704439007513792524755627252899891849 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.07 hours.
Scaled time: 8.17 units (timescale=7.645).
Factorization parameters were as follows:
n: 2797746628783533646732207779862286460653620777374153940124305470359531237483408439736209883417541534737
m: 1000000000000000000000000000000
deg: 4
c4: 185
c0: 4
skew: 0.38
# Murphy_E = 3.487e-08
type: snfs
lss: 1
rlim: 760000
alim: 760000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 760000/760000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [380000, 680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68345 x 68574
Total sieving time: 1.06 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,122.000,4,0,0,0,0,0,0,0,0,760000,760000,25,25,46,46,2.2,2.2,75000
total time: 1.07 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)

37×10122+89

c76

name 名前Eric Jeancolas
date 日付June 29, 2022 14:52:48 UTC 2022 年 6 月 29 日 (水) 23 時 52 分 48 秒 (日本時間)
composite number 合成数
1493335230900515648160195840513883992952615706649546187704005935806290638351<76>
prime factors 素因数
11948403085747942446590978700621001<35>
124981993006393147685741768743503165667351<42>
factorization results 素因数分解の結果
Wed Jun 29 16:47:46 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 16:47:46 2022  random seeds: 960e5088 3d0f1778
Wed Jun 29 16:47:46 2022  factoring 1493335230900515648160195840513883992952615706649546187704005935806290638351 (76 digits)
Wed Jun 29 16:47:47 2022  searching for 15-digit factors
Wed Jun 29 16:47:47 2022  commencing quadratic sieve (76-digit input)
Wed Jun 29 16:47:47 2022  using multiplier of 1
Wed Jun 29 16:47:47 2022  using generic 32kb sieve core
Wed Jun 29 16:47:47 2022  sieve interval: 12 blocks of size 32768
Wed Jun 29 16:47:47 2022  processing polynomials in batches of 17
Wed Jun 29 16:47:47 2022  using a sieve bound of 703463 (28340 primes)
Wed Jun 29 16:47:47 2022  using large prime bound of 70346300 (26 bits)
Wed Jun 29 16:47:47 2022  using trial factoring cutoff of 26 bits
Wed Jun 29 16:47:47 2022  polynomial 'A' values have 9 factors
Wed Jun 29 16:50:45 2022  28632 relations (13821 full + 14811 combined from 161239 partial), need 28436
Wed Jun 29 16:50:45 2022  begin with 175060 relations
Wed Jun 29 16:50:45 2022  reduce to 41573 relations in 2 passes
Wed Jun 29 16:50:45 2022  attempting to read 41573 relations
Wed Jun 29 16:50:45 2022  recovered 41573 relations
Wed Jun 29 16:50:45 2022  recovered 34621 polynomials
Wed Jun 29 16:50:45 2022  attempting to build 28632 cycles
Wed Jun 29 16:50:45 2022  found 28632 cycles in 1 passes
Wed Jun 29 16:50:45 2022  distribution of cycle lengths:
Wed Jun 29 16:50:45 2022     length 1 : 13821
Wed Jun 29 16:50:45 2022     length 2 : 14811
Wed Jun 29 16:50:45 2022  largest cycle: 2 relations
Wed Jun 29 16:50:45 2022  matrix is 28340 x 28632 (4.1 MB) with weight 834015 (29.13/col)
Wed Jun 29 16:50:45 2022  sparse part has weight 834015 (29.13/col)
Wed Jun 29 16:50:45 2022  filtering completed in 3 passes
Wed Jun 29 16:50:45 2022  matrix is 21281 x 21345 (3.3 MB) with weight 685206 (32.10/col)
Wed Jun 29 16:50:45 2022  sparse part has weight 685206 (32.10/col)
Wed Jun 29 16:50:45 2022  saving the first 48 matrix rows for later
Wed Jun 29 16:50:45 2022  matrix includes 64 packed rows
Wed Jun 29 16:50:45 2022  matrix is 21233 x 21345 (2.4 MB) with weight 531301 (24.89/col)
Wed Jun 29 16:50:45 2022  sparse part has weight 422256 (19.78/col)
Wed Jun 29 16:50:45 2022  commencing Lanczos iteration
Wed Jun 29 16:50:45 2022  memory use: 2.4 MB
Wed Jun 29 16:50:48 2022  lanczos halted after 337 iterations (dim = 21232)
Wed Jun 29 16:50:48 2022  recovered 17 nontrivial dependencies
Wed Jun 29 16:50:48 2022  p35 factor: 11948403085747942446590978700621001
Wed Jun 29 16:50:48 2022  p42 factor: 124981993006393147685741768743503165667351
Wed Jun 29 16:50:48 2022  elapsed time 00:03:02
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)

37×10125+89

c122

name 名前Ignacio Santos
date 日付June 30, 2022 13:29:11 UTC 2022 年 6 月 30 日 (木) 22 時 29 分 11 秒 (日本時間)
composite number 合成数
11326623074474077339406852300835108858031494134645997110180491269316484216197683246393848113045820782210467024220605882497<122>
prime factors 素因数
2937548830870488340639309067011168581323334467973719<52>
3855807588777219335491936404512834051862024810298454281388963047877863<70>
factorization results 素因数分解の結果
N=11326623074474077339406852300835108858031494134645997110180491269316484216197683246393848113045820782210467024220605882497
  ( 122 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=2937548830870488340639309067011168581323334467973719 (pp52)
 r2=3855807588777219335491936404512834051862024810298454281388963047877863 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.39 hours.
Scaled time: 10.66 units (timescale=7.675).
Factorization parameters were as follows:
n: 11326623074474077339406852300835108858031494134645997110180491269316484216197683246393848113045820782210467024220605882497
m: 10000000000000000000000000000000
deg: 4
c4: 185
c0: 4
skew: 0.38
# Murphy_E = 2.243e-08
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 745001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112923 x 113148
Total sieving time: 1.38 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,126.000,4,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,75000
total time: 1.39 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)

37×10129+89

c94

name 名前Ignacio Santos
date 日付June 30, 2022 12:49:41 UTC 2022 年 6 月 30 日 (木) 21 時 49 分 41 秒 (日本時間)
composite number 合成数
5425549879954904227950105094686171412773408629298437599438909283308740720904181672909742290291<94>
prime factors 素因数
79283737532527341858687185911090693861417<41>
68432064996040216390252843578571216511136594018008123<53>
factorization results 素因数分解の結果
prp53 = 68432064996040216390252843578571216511136594018008123
prp41 = 79283737532527341858687185911090693861417
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)

37×10131+89

c95

name 名前Ignacio Santos
date 日付June 30, 2022 12:56:27 UTC 2022 年 6 月 30 日 (木) 21 時 56 分 27 秒 (日本時間)
composite number 合成数
11493492333670436092617971119179216098632310015174656470309461347266897407995386358191240922793<95>
prime factors 素因数
23169857181526642966966742036221<32>
496053654695559037081593574309879045140802074173673113734677533<63>
factorization results 素因数分解の結果
prp63 = 496053654695559037081593574309879045140802074173673113734677533
prp32 = 23169857181526642966966742036221
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)

37×10132+89

c109

name 名前Dmitry Domanov
date 日付June 30, 2022 22:28:59 UTC 2022 年 7 月 1 日 (金) 7 時 28 分 59 秒 (日本時間)
composite number 合成数
5206851439684378836412295905438388857706359251808626187724112481446330680797795083651457673870881852176670201<109>
prime factors 素因数
3163475412835071605783931908480305851283<40>
1645927582859907952017111151342640015033699255877920692294685697425347<70>
factorization results 素因数分解の結果
N=5206851439684378836412295905438388857706359251808626187724112481446330680797795083651457673870881852176670201
  ( 109 digits)
SNFS difficulty: 133 digits.
Divisors found:
p40 factor: 3163475412835071605783931908480305851283
p70 factor: 1645927582859907952017111151342640015033699255877920692294685697425347
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.08 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5206851439684378836412295905438388857706359251808626187724112481446330680797795083651457673870881852176670201
m: 1000000000000000000000000000000000
deg: 4
c4: 37
c0: 8
skew: 0.68
# Murphy_E = 1.08e-08
type: snfs
lss: 1
rlim: 1180000
alim: 1180000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1180000/1180000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [590000, 1190001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 141273 x 141499
Total sieving time: 2.99 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1180000,1180000,26,26,47,47,2.3,2.3,100000
total time: 3.08 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)

37×10134+89

c112

name 名前Eric Jeancolas
date 日付July 4, 2022 11:15:16 UTC 2022 年 7 月 4 日 (月) 20 時 15 分 16 秒 (日本時間)
composite number 合成数
2025342813808385937102460951217367562853719562147505487377029328600184416050372327047807820855247499625796903821<112>
prime factors 素因数
3209640392426661307290550590615559351297<40>
631018608373481209831798342079896133412138148518047463751672112801015693<72>
factorization results 素因数分解の結果
2025342813808385937102460951217367562853719562147505487377029328600184416050372327047807820855247499625796903821=3209640392426661307290550590615559351297*631018608373481209831798342079896133412138148518047463751672112801015693

cado polynomial
n: 2025342813808385937102460951217367562853719562147505487377029328600184416050372327047807820855247499625796903821
skew: 0.22
type: snfs
c0: 2
c4: 925
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 925*x^4+2
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1240000
tasks.lim1 = 1240000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
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: 3209640392426661307290550590615559351297 631018608373481209831798342079896133412138148518047463751672112801015693
Info:Square Root: Total cpu/real time for sqrt: 17.36/5.61664
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6095618
Info:Lattice Sieving: Average J: 1889.11 for 91417 special-q, max bucket fill -bkmult 1.0,1s:1.333870
Info:Lattice Sieving: Total time: 8191.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.4/11.244
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.42/22.4676
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.34/44.6883
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.3s
Info:Filtering - Merging: Merged matrix has 126695 rows and total weight 21573304 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 25.32/7.04504
Info:Filtering - Merging: Total cpu/real time for replay: 3.84/3.18457
Info:Linear Algebra: Total cpu/real time for bwc: 238.91/63.51
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 140.01, WCT time 36.5, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4032 iterations)
Info:Linear Algebra: Lingen CPU time 15.51, WCT time 4.0
Info:Linear Algebra: Mksol: CPU time 75.77,  WCT time 19.87, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1984 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 0.64/0.422611
Info:Quadratic Characters: Total cpu/real time for characters: 3.84/1.49266
Info:Square Root: Total cpu/real time for sqrt: 17.36/5.61664
Info:Filtering - Singleton removal: Total cpu/real time for purge: 50.99/43.9823
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15205.5/4441.27
Info:root: Cleaning up computation data in /tmp/cado.be41q_o5
3209640392426661307290550590615559351297 631018608373481209831798342079896133412138148518047463751672112801015693
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)

37×10136+89

c136

name 名前Bob Backstrom
date 日付June 29, 2022 19:38:29 UTC 2022 年 6 月 30 日 (木) 4 時 38 分 29 秒 (日本時間)
composite number 合成数
1712962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<136>
prime factors 素因数
347320651853768860887745815458136570679<39>
4931935241455683641146965163978895869711458961416774153768007609206495706926359805280945938324997<97>
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 1712962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963 (136 digits)
Using B1=15660000, B2=46848203230, polynomial Dickson(12), sigma=1:4194989369
Step 1 took 31479ms
Step 2 took 11979ms
********** Factor found in step 2: 347320651853768860887745815458136570679
Found prime factor of 39 digits: 347320651853768860887745815458136570679
Prime cofactor 4931935241455683641146965163978895869711458961416774153768007609206495706926359805280945938324997 has 97 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)

37×10138+89

c116

name 名前Bob Backstrom
date 日付June 30, 2022 05:57:26 UTC 2022 年 6 月 30 日 (木) 14 時 57 分 26 秒 (日本時間)
composite number 合成数
71407222059383156121033449895459249803638740216386738522286691568629762676373286785219340526667091572340848005593657<116>
prime factors 素因数
251431821801636028042497468530787834377<39>
284002325352910123775834643246906039320492614926112020203988886695701536254641<78>
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 71407222059383156121033449895459249803638740216386738522286691568629762676373286785219340526667091572340848005593657 (116 digits)
Using B1=15610000, B2=46848203230, polynomial Dickson(12), sigma=1:714956140
Step 1 took 23976ms
Step 2 took 10263ms
********** Factor found in step 2: 251431821801636028042497468530787834377
Found prime factor of 39 digits: 251431821801636028042497468530787834377
Prime cofactor 284002325352910123775834643246906039320492614926112020203988886695701536254641 has 78 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)

37×10141+89

c126

name 名前Eric Jeancolas
date 日付July 4, 2022 20:19:49 UTC 2022 年 7 月 5 日 (火) 5 時 19 分 49 秒 (日本時間)
composite number 合成数
173811702770788468979148593853926655319547395646984667823764663607822751557083255315653772255996765883026437858975175086865073<126>
prime factors 素因数
27515005766675356659803412958283701088177982092619847127<56>
6316978605953974685704665083049077807332636583305752260099541609468599<70>
factorization results 素因数分解の結果
173811702770788468979148593853926655319547395646984667823764663607822751557083255315653772255996765883026437858975175086865073=27515005766675356659803412958283701088177982092619847127*6316978605953974685704665083049077807332636583305752260099541609468599

cado polynomial
n: 173811702770788468979148593853926655319547395646984667823764663607822751557083255315653772255996765883026437858975175086865073
skew: 0.38
type: snfs
c0: 4
c4: 185
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 185*x^4+4
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1650000
tasks.lim1 = 1650000
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: 27515005766675356659803412958283701088177982092619847127 6316978605953974685704665083049077807332636583305752260099541609468599
Info:Square Root: Total cpu/real time for sqrt: 25.51/20.8966
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.62/64.7606
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6159459
Info:Lattice Sieving: Average J: 1892.46 for 118627 special-q, max bucket fill -bkmult 1.0,1s:1.328610
Info:Lattice Sieving: Total time: 10943.8s
Info:Linear Algebra: Total cpu/real time for bwc: 523.91/516.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 254.26, WCT time 257.9, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5504 iterations)
Info:Linear Algebra: Lingen CPU time 118.82, WCT time 103.48
Info:Linear Algebra: Mksol: CPU time 135.64,  WCT time 140.67, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2816 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.31/11.2781
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.64/40.0487
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.8s
Info:Filtering - Merging: Merged matrix has 173650 rows and total weight 29607270 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 39.61/31.455
Info:Filtering - Merging: Total cpu/real time for replay: 5.76/6.29011
Info:Generate Factor Base: Total cpu/real time for makefb: 0.84/0.45711
Info:Quadratic Characters: Total cpu/real time for characters: 5.48/4.6827
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.81/74.4944
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.3s
Info:Square Root: Total cpu/real time for sqrt: 25.51/20.8966
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19560.7/6365.15
Info:root: Cleaning up computation data in /tmp/cado.qb09xxdi
27515005766675356659803412958283701088177982092619847127 6316978605953974685704665083049077807332636583305752260099541609468599
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)

37×10142+89

c123

name 名前Eric Jeancolas
date 日付July 4, 2022 20:41:46 UTC 2022 年 7 月 5 日 (火) 5 時 41 分 46 秒 (日本時間)
composite number 合成数
430630037171466392855793454901089175313168856167363616043300411380936919439074613142236116612196211993860631339949427330583<123>
prime factors 素因数
10068880658101760553549160054624066139638454291<47>
42768412080141893322269589661476025646652706566488191744610876558786037512813<77>
factorization results 素因数分解の結果
430630037171466392855793454901089175313168856167363616043300411380936919439074613142236116612196211993860631339949427330583=10068880658101760553549160054624066139638454291*42768412080141893322269589661476025646652706566488191744610876558786037512813

cado polynomial
n: 430630037171466392855793454901089175313168856167363616043300411380936919439074613142236116612196211993860631339949427330583
skew: 0.29
type: snfs
c0: 2
c5: 925
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 925*x^5+2
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1690000
tasks.lim1 = 1690000
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: 42768412080141893322269589661476025646652706566488191744610876558786037512813 10068880658101760553549160054624066139638454291
Info:Square Root: Total cpu/real time for sqrt: 26.25/21.9644
Info:Quadratic Characters: Total cpu/real time for characters: 4.9/3.78805
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.87/77.7517
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 72.1s
Info:Square Root: Total cpu/real time for sqrt: 26.25/21.9644
Info:Linear Algebra: Total cpu/real time for bwc: 426.88/430.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 186.45, WCT time 197.46, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4992 iterations)
Info:Linear Algebra: Lingen CPU time 124.68, WCT time 108.85
Info:Linear Algebra: Mksol: CPU time 101.94,  WCT time 110.76, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2560 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.42/69.7265
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6086463
Info:Lattice Sieving: Average J: 1894.49 for 77552 special-q, max bucket fill -bkmult 1.0,1s:1.243620
Info:Lattice Sieving: Total time: 9996.73s
Info:Generate Free Relations: Total cpu/real time for freerel: 30.02/9.40148
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.66/40.5483
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.3s
Info:Filtering - Merging: Merged matrix has 155938 rows and total weight 26612070 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 36.34/29.4294
Info:Filtering - Merging: Total cpu/real time for replay: 5.02/5.55327
Info:Generate Factor Base: Total cpu/real time for makefb: 0.75/0.400626
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14695.1/5877.69
Info:root: Cleaning up computation data in /tmp/cado._xbuaf9n
42768412080141893322269589661476025646652706566488191744610876558786037512813 10068880658101760553549160054624066139638454291
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)

37×10144+89

c104

name 名前Eric Jeancolas
date 日付July 2, 2022 06:25:34 UTC 2022 年 7 月 2 日 (土) 15 時 25 分 34 秒 (日本時間)
composite number 合成数
39419259700748427639907094206509472297074340540438982495803193055880054698707568167704139393273220788449<104>
prime factors 素因数
5332403938344927677807171781764812961<37>
7392399404945189371686386209589106701870940517811993689607749023809<67>
factorization results 素因数分解の結果
39419259700748427639907094206509472297074340540438982495803193055880054698707568167704139393273220788449=5332403938344927677807171781764812961*7392399404945189371686386209589106701870940517811993689607749023809

cado polynomial
n: 39419259700748427639907094206509472297074340540438982495803193055880054698707568167704139393273220788449
skew: 10370.771
c0: -2992223034136827479560968
c1: -109254310694234284025
c2: 139477123730552814
c3: -862158016951
c4: -312431670
c5: 25200
Y0: -98965936080450402658
Y1: 90624201635537
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.817e-06
# f(x) = 25200*x^5-312431670*x^4-862158016951*x^3+139477123730552814*x^2-109254310694234284025*x-2992223034136827479560968
# g(x) = 90624201635537*x-98965936080450402658

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
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: 7392399404945189371686386209589106701870940517811993689607749023809 5332403938344927677807171781764812961
Info:Square Root: Total cpu/real time for sqrt: 57.06/16.8023
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 39.3/37.7778
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 29.4s
Info:Square Root: Total cpu/real time for sqrt: 57.06/16.8023
Info:Filtering - Singleton removal: Total cpu/real time for purge: 16.49/18.7109
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4606211
Info:Lattice Sieving: Average J: 1902.5 for 37660 special-q, max bucket fill -bkmult 1.0,1s:1.291630
Info:Lattice Sieving: Total time: 3806.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.45/0.40009
Info:Linear Algebra: Total cpu/real time for bwc: 474.73/124.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 275.81, WCT time 71.14, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Linear Algebra: Lingen CPU time 27.66, WCT time 7.07
Info:Linear Algebra: Mksol: CPU time 156.55,  WCT time 40.4, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.62/16.0439
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.7/18.3367
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 150.02
Info:Polynomial Selection (root optimized): Rootsieve time: 149.4
Info:Filtering - Merging: Merged matrix has 207234 rows and total weight 30121502 (145.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 26.96/8.24772
Info:Filtering - Merging: Total cpu/real time for replay: 6.41/5.23222
Info:Quadratic Characters: Total cpu/real time for characters: 7.72/2.97833
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9519/29.820/36.557/43.710/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7245/29.100/32.487/37.030/0.869
Info:Polynomial Selection (size optimized): Total time: 518.8
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8253.7/2435.47
Info:root: Cleaning up computation data in /tmp/cado.xupollsd
7392399404945189371686386209589106701870940517811993689607749023809 5332403938344927677807171781764812961
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)

37×10149+89

c136

name 名前Eric Jeancolas
date 日付July 5, 2022 18:42:19 UTC 2022 年 7 月 6 日 (水) 3 時 42 分 19 秒 (日本時間)
composite number 合成数
1053049975021788696519077674400194025329796732253568728889835098690856225316786548091076337697706177192527758576296016204452860818973209<136>
prime factors 素因数
684870356536939590938641974629339260529548304620189<51>
1537590238751983043477412606066309814364238300451430489458513450859292648819553771181<85>
factorization results 素因数分解の結果
1053049975021788696519077674400194025329796732253568728889835098690856225316786548091076337697706177192527758576296016204452860818973209=684870356536939590938641974629339260529548304620189*1537590238751983043477412606066309814364238300451430489458513450859292648819553771181

cado polynomial
n: 1053049975021788696519077674400194025329796732253568728889835098690856225316786548091076337697706177192527758576296016204452860818973209
skew: 0.38
type: snfs
c0: 4
c4: 185
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 185*x^4+4
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
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: 684870356536939590938641974629339260529548304620189 1537590238751983043477412606066309814364238300451430489458513450859292648819553771181
Info:Square Root: Total cpu/real time for sqrt: 39.4/13.1569
Info:Filtering - Singleton removal: Total cpu/real time for purge: 91.2/77.346
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11621646
Info:Lattice Sieving: Average J: 1893.68 for 307892 special-q, max bucket fill -bkmult 1.0,1s:1.323310
Info:Lattice Sieving: Total time: 30762.6s
Info:Linear Algebra: Total cpu/real time for bwc: 968.28/250.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 587.88, WCT time 150.3, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8064 iterations)
Info:Linear Algebra: Lingen CPU time 36.28, WCT time 9.3
Info:Linear Algebra: Mksol: CPU time 320.77,  WCT time 81.97, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4096 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 72.06/20.5706
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.01/46.8879
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 46.8s
Info:Filtering - Merging: Merged matrix has 257466 rows and total weight 43832292 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 52.8/14.7123
Info:Filtering - Merging: Total cpu/real time for replay: 7.86/6.51837
Info:Generate Factor Base: Total cpu/real time for makefb: 1.11/0.616001
Info:Quadratic Characters: Total cpu/real time for characters: 7.94/3.10112
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 97.47/81.2233
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 73.0s
Info:Square Root: Total cpu/real time for sqrt: 39.4/13.1569
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 57403.1/16049.2
Info:root: Cleaning up computation data in /tmp/cado.s8ai79lj
684870356536939590938641974629339260529548304620189 1537590238751983043477412606066309814364238300451430489458513450859292648819553771181
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)

37×10150+89

c131

name 名前Eric Jeancolas
date 日付July 6, 2022 11:20:09 UTC 2022 年 7 月 6 日 (水) 20 時 20 分 9 秒 (日本時間)
composite number 合成数
14925466077088863971156617471185449919008942009647803835520317420226944878770998833308362059009157831023349810252368398755965102437<131>
prime factors 素因数
24660177102413650400387203917281748640216466146662359<53>
605245696943028541850879260277550712428999672072542984430251842819415478219043<78>
factorization results 素因数分解の結果
14925466077088863971156617471185449919008942009647803835520317420226944878770998833308362059009157831023349810252368398755965102437=24660177102413650400387203917281748640216466146662359*605245696943028541850879260277550712428999672072542984430251842819415478219043

cado polynomial
n: 14925466077088863971156617471185449919008942009647803835520317420226944878770998833308362059009157831023349810252368398755965102437
skew: 0.74
type: snfs
c0: 8
c5: 37
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 37*x^5+8
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2400000
tasks.lim1 = 2400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
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: 24660177102413650400387203917281748640216466146662359 605245696943028541850879260277550712428999672072542984430251842819415478219043
Info:Square Root: Total cpu/real time for sqrt: 38.61/12.5515
Info:Filtering - Singleton removal: Total cpu/real time for purge: 106.12/90.1872
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11651680
Info:Lattice Sieving: Average J: 1893.76 for 187626 special-q, max bucket fill -bkmult 1.0,1s:1.231540
Info:Lattice Sieving: Total time: 22924.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.44/17.9498
Info:Linear Algebra: Total cpu/real time for bwc: 764.81/201.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 462.75, WCT time 120.34, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 32.87, WCT time 8.42
Info:Linear Algebra: Mksol: CPU time 249.5,  WCT time 64.46, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.42/45.884
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 233579 rows and total weight 39833359 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.03/13.1384
Info:Filtering - Merging: Total cpu/real time for replay: 7.02/5.93276
Info:Generate Factor Base: Total cpu/real time for makefb: 1.05/0.571783
Info:Quadratic Characters: Total cpu/real time for characters: 7.22/2.83021
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 96.96/84.3519
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.8s
Info:Square Root: Total cpu/real time for sqrt: 38.61/12.5515
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 42799.2/12115.5
Info:root: Cleaning up computation data in /tmp/cado.7kmdqf7b
24660177102413650400387203917281748640216466146662359 605245696943028541850879260277550712428999672072542984430251842819415478219043
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)

37×10151+89

c148

name 名前Bob Backstrom
date 日付June 30, 2022 22:13:33 UTC 2022 年 7 月 1 日 (金) 7 時 13 分 33 秒 (日本時間)
composite number 合成数
1068598230170282572029296920126614449758554562048011829671218317506527113514013077331854624431043645017444144081698666851505279452877706152815323121<148>
prime factors 素因数
3467985078852034511344025834699254521161804963235185123<55>
308132303303913816769438116373403216831860144386135649112422736825001476453747094308178937627<93>
factorization results 素因数分解の結果
Number: n
N=1068598230170282572029296920126614449758554562048011829671218317506527113514013077331854624431043645017444144081698666851505279452877706152815323121  ( 148 digits)
SNFS difficulty: 152 digits.
Divisors found:

Fri Jul  1 08:01:06 2022  p55 factor: 3467985078852034511344025834699254521161804963235185123
Fri Jul  1 08:01:06 2022  p93 factor: 308132303303913816769438116373403216831860144386135649112422736825001476453747094308178937627
Fri Jul  1 08:01:06 2022  elapsed time 00:05:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 37x10^151+8 = 41(150)2
#
n: 1068598230170282572029296920126614449758554562048011829671218317506527113514013077331854624431043645017444144081698666851505279452877706152815323121
m: 50000000000000000000000000000000000000
deg: 4
c4: 37
c0: 5
skew: 0.61
# Murphy_E = 1.262e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1107823 hash collisions in 12806686 relations (13048940 unique)
Msieve: matrix is 351004 x 351230 (117.4 MB)

Sieving start time : 2022/07/01 07:18:44
Sieving end time  : 2022/07/01 07:55:39

Total sieving time: 0hrs 36min 55secs.

Total relation processing time: 0hrs 2min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 12sec.

Prototype def-par.txt line would be:
snfs,152,4,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
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)

37×10154+89

c133

name 名前Bob Backstrom
date 日付July 1, 2022 11:53:55 UTC 2022 年 7 月 1 日 (金) 20 時 53 分 55 秒 (日本時間)
composite number 合成数
2894477295121873324369516183920292328786927701960448587363687438151156306735693719853898924266293442974227638023630913383802707683697<133>
prime factors 素因数
14558064534276087840680350378013253650677369259689877<53>
198822947123705937970973190870551603248879413785057020931535543795206549574775661<81>
factorization results 素因数分解の結果
Number: n
N=2894477295121873324369516183920292328786927701960448587363687438151156306735693719853898924266293442974227638023630913383802707683697  ( 133 digits)
SNFS difficulty: 155 digits.
Divisors found:

Fri Jul  1 21:49:55 2022  p53 factor: 14558064534276087840680350378013253650677369259689877
Fri Jul  1 21:49:55 2022  p81 factor: 198822947123705937970973190870551603248879413785057020931535543795206549574775661
Fri Jul  1 21:49:55 2022  elapsed time 00:05:53 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 37x10^154+8 = 41(153)2
#
n: 2894477295121873324369516183920292328786927701960448587363687438151156306735693719853898924266293442974227638023630913383802707683697
m: 5000000000000000000000000000000
deg: 5
c5: 74
c0: 5
skew: 0.58
# Murphy_E = 8.416e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 950958 hash collisions in 11781268 relations (11592935 unique)
Msieve: matrix is 408841 x 409067 (138.6 MB)

Sieving start time : 2022/07/01 21:00:01
Sieving end time  : 2022/07/01 21:43:40

Total sieving time: 0hrs 43min 39secs.

Total relation processing time: 0hrs 2min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 40sec.

Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
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)

37×10156+89

c131

name 名前Bob Backstrom
date 日付July 1, 2022 13:46:55 UTC 2022 年 7 月 1 日 (金) 22 時 46 分 55 秒 (日本時間)
composite number 合成数
25037890640994808655084018193795443236078100954154473814735137537118960522130995043467271341293659969696779955357743835570417567849<131>
prime factors 素因数
26018713962882837938226984705127296250767581<44>
962303159053624670390455867050096088999503123476655689421129936489288796915238585868029<87>
factorization results 素因数分解の結果
Number: n
N=25037890640994808655084018193795443236078100954154473814735137537118960522130995043467271341293659969696779955357743835570417567849  ( 131 digits)
SNFS difficulty: 157 digits.
Divisors found:

Fri Jul  1 23:33:58 2022  p44 factor: 26018713962882837938226984705127296250767581
Fri Jul  1 23:33:58 2022  p87 factor: 962303159053624670390455867050096088999503123476655689421129936489288796915238585868029
Fri Jul  1 23:33:58 2022  elapsed time 00:06:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 37x10^156+8 = 41(155)2
#
n: 25037890640994808655084018193795443236078100954154473814735137537118960522130995043467271341293659969696779955357743835570417567849
m: 10000000000000000000000000000000
deg: 5
c5: 185
c0: 4
skew: 0.46
# Murphy_E = 7.299e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7076393)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1284546 hash collisions in 13735501 relations (13330708 unique)
Msieve: matrix is 411314 x 411541 (137.5 MB)

Sieving start time : 2022/07/01 22:42:09
Sieving end time  : 2022/07/01 23:27:26

Total sieving time: 0hrs 45min 17secs.

Total relation processing time: 0hrs 2min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 38sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118735] 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)
[    0.153513] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152037] smpboot: Total of 16 processors activated (102387.96 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)

37×10161+89

c112

name 名前Eric Jeancolas
date 日付July 2, 2022 10:28:29 UTC 2022 年 7 月 2 日 (土) 19 時 28 分 29 秒 (日本時間)
composite number 合成数
2777506348135141843803194835142245447951902149550604512141876220833218107930967794618686556928642827892567783529<112>
prime factors 素因数
8399414445977895551069955743348437910235980270276021<52>
330678568845375356697870645649440132813665470937842928488549<60>
factorization results 素因数分解の結果
2777506348135141843803194835142245447951902149550604512141876220833218107930967794618686556928642827892567783529=8399414445977895551069955743348437910235980270276021*330678568845375356697870645649440132813665470937842928488549

cado polynomial
n: 2777506348135141843803194835142245447951902149550604512141876220833218107930967794618686556928642827892567783529
skew: 15145.219
c0: -5057881168776347434355756
c1: -1263484957598452052840
c2: 166789260675753057
c3: 3086989993925
c4: 399606728
c5: 6720
Y0: -4397673267119377316196
Y1: 380623225146089
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.437e-06
# f(x) = 6720*x^5+399606728*x^4+3086989993925*x^3+166789260675753057*x^2-1263484957598452052840*x-5057881168776347434355756
# g(x) = 380623225146089*x-4397673267119377316196

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: 330678568845375356697870645649440132813665470937842928488549 8399414445977895551069955743348437910235980270276021
Info:Square Root: Total cpu/real time for sqrt: 86.61/26.5567
Info:Filtering - Singleton removal: Total cpu/real time for purge: 70.94/79.5733
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5436038
Info:Lattice Sieving: Average J: 1893.61 for 106339 special-q, max bucket fill -bkmult 1.0,1s:1.309550
Info:Lattice Sieving: Total time: 9928.14s
Info:Linear Algebra: Total cpu/real time for bwc: 1228.34/318.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 746.86, WCT time 191.44, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9600 iterations)
Info:Linear Algebra: Lingen CPU time 45.6, WCT time 11.6
Info:Linear Algebra: Mksol: CPU time 410.74,  WCT time 105.14, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4864 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.36/0.653985
Info:Generate Free Relations: Total cpu/real time for freerel: 62.25/16.2813
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.91/23.1548
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.099999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 268.12
Info:Polynomial Selection (root optimized): Rootsieve time: 267.18
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.93/98.3187
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.60000000000002s
Info:Filtering - Merging: Merged matrix has 304431 rows and total weight 47542423 (156.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.88/14.136
Info:Filtering - Merging: Total cpu/real time for replay: 10.09/8.18279
Info:Quadratic Characters: Total cpu/real time for characters: 11.23/4.37423
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): 11856/32.760/39.658/44.940/1.098
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9342/32.110/35.135/40.110/0.903
Info:Polynomial Selection (size optimized): Total time: 683.86
Info:Square Root: Total cpu/real time for sqrt: 86.61/26.5567
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 20576.3/5780.01
Info:root: Cleaning up computation data in /tmp/cado.nsz3obx5
330678568845375356697870645649440132813665470937842928488549 8399414445977895551069955743348437910235980270276021
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 09:54:30 UTC 2022 年 7 月 2 日 (土) 18 時 54 分 30 秒 (日本時間)

37×10162+89

c150

name 名前Bob Backstrom
date 日付July 2, 2022 00:07:24 UTC 2022 年 7 月 2 日 (土) 9 時 7 分 24 秒 (日本時間)
composite number 合成数
109407299035715252685389249507385015606733464092014626117344660021817477497516645457144852739920246349609603147801679017564256737041966638755197842939<150>
prime factors 素因数
3484345159832624605263617920585202632487711<43>
31399673114178730033584927049517610176233652677024572858364430294914770388602307407394188759397449625034149<107>
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 109407299035715252685389249507385015606733464092014626117344660021817477497516645457144852739920246349609603147801679017564256737041966638755197842939 (150 digits)
Using B1=17140000, B2=58559441860, polynomial Dickson(12), sigma=1:4123892278
Step 1 took 33465ms
Step 2 took 14690ms
********** Factor found in step 2: 3484345159832624605263617920585202632487711
Found prime factor of 43 digits: 3484345159832624605263617920585202632487711
Prime cofactor 31399673114178730033584927049517610176233652677024572858364430294914770388602307407394188759397449625034149 has 107 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)

37×10163+89

c135

name 名前Bob Backstrom
date 日付July 3, 2022 13:33:32 UTC 2022 年 7 月 3 日 (日) 22 時 33 分 32 秒 (日本時間)
composite number 合成数
298218459984859753984909604376797824281433675989328422323528445806643920886767833961568809265539383771132309232317956941890737121939687<135>
prime factors 素因数
36809025260210693310741477820636457221527523036513<50>
8101775525885054748023409209184435728572634018151606096731708045826548283090768067399<85>
factorization results 素因数分解の結果
Number: n
N=298218459984859753984909604376797824281433675989328422323528445806643920886767833961568809265539383771132309232317956941890737121939687  ( 135 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sun Jul  3 22:08:20 2022  p50 factor: 36809025260210693310741477820636457221527523036513
Sun Jul  3 22:08:20 2022  p85 factor: 8101775525885054748023409209184435728572634018151606096731708045826548283090768067399
Sun Jul  3 22:08:20 2022  elapsed time 00:08:44 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 37x10^163+8 = 41(162)2
#
n: 298218459984859753984909604376797824281433675989328422323528445806643920886767833961568809265539383771132309232317956941890737121939687
m: 100000000000000000000000000000000
deg: 5
c5: 4625
c0: 1
skew: 0.18
# Murphy_E = 4.513e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1438563 hash collisions in 14619675 relations (14120188 unique)
Msieve: matrix is 487024 x 487252 (165.7 MB)

Sieving start time : 2022/07/03 21:07:25
Sieving end time  : 2022/07/03 21:59:21

Total sieving time: 0hrs 51min 56secs.

Total relation processing time: 0hrs 3min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 30sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 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)

37×10164+89

c116

name 名前Eric Jeancolas
date 日付July 2, 2022 13:50:54 UTC 2022 年 7 月 2 日 (土) 22 時 50 分 54 秒 (日本時間)
composite number 合成数
16200628785781190339763880412793864452927588993977393155284612854269205687913980498463927953374559048297428043908547<116>
prime factors 素因数
1318587743357143039856098237987970135692737865298041<52>
12286348684338715578298211411355132918865446552278738007087427867<65>
factorization results 素因数分解の結果
16200628785781190339763880412793864452927588993977393155284612854269205687913980498463927953374559048297428043908547=1318587743357143039856098237987970135692737865298041*12286348684338715578298211411355132918865446552278738007087427867

cado polynomial
n: 16200628785781190339763880412793864452927588993977393155284612854269205687913980498463927953374559048297428043908547
skew: 8593.26
c0: 15657059600700634155899860
c1: 892676735179296509063
c2: -1757016326065529624
c3: -88828738534474
c4: 14864312348
c5: 6960
Y0: 11278221560307565241913
Y1: 70346635791173119
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.752e-07
# f(x) = 6960*x^5+14864312348*x^4-88828738534474*x^3-1757016326065529624*x^2+892676735179296509063*x+15657059600700634155899860
# g(x) = 70346635791173119*x+11278221560307565241913

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: 12286348684338715578298211411355132918865446552278738007087427867 1318587743357143039856098237987970135692737865298041
Info:Square Root: Total cpu/real time for sqrt: 266.95/77.8599
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.96/138.97
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 103.69999999999999s
Info:Square Root: Total cpu/real time for sqrt: 266.95/77.8599
Info:Filtering - Singleton removal: Total cpu/real time for purge: 101.34/116.435
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7347840
Info:Lattice Sieving: Average J: 1895.4 for 167284 special-q, max bucket fill -bkmult 1.0,1s:1.257660
Info:Lattice Sieving: Total time: 18653s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.06/1.10045
Info:Linear Algebra: Total cpu/real time for bwc: 2649.72/683.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1641.05, WCT time 420.37, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13952 iterations)
Info:Linear Algebra: Lingen CPU time 68.15, WCT time 17.35
Info:Linear Algebra: Mksol: CPU time 902.41,  WCT time 230.41, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.02/16.949
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.66/32.1671
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.399999999999995s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 345.43
Info:Polynomial Selection (root optimized): Rootsieve time: 344.37
Info:Filtering - Merging: Merged matrix has 444020 rows and total weight 69241501 (155.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 73.11/21.6809
Info:Filtering - Merging: Total cpu/real time for replay: 15/12.0923
Info:Quadratic Characters: Total cpu/real time for characters: 16.06/6.31225
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): 21870/32.920/41.122/46.450/1.070
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17313/32.980/36.384/41.550/0.825
Info:Polynomial Selection (size optimized): Total time: 1809.32
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 39756.4/10875.4
Info:root: Cleaning up computation data in /tmp/cado.g34fyg_k
12286348684338715578298211411355132918865446552278738007087427867 1318587743357143039856098237987970135692737865298041
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)

37×10166+89

c98

name 名前Dmitry Domanov
date 日付June 29, 2022 21:26:05 UTC 2022 年 6 月 30 日 (木) 6 時 26 分 5 秒 (日本時間)
composite number 合成数
89533903938344267751829294737355958761438294817852011966186821595776191570055553048273392148943627<98>
prime factors 素因数
2156500566209443485676717799627827949669799959<46>
41518145342164757248913109060777541318042084222206253<53>
factorization results 素因数分解の結果
N=89533903938344267751829294737355958761438294817852011966186821595776191570055553048273392148943627
  ( 98 digits)
Divisors found:
p46 factor: 2156500566209443485676717799627827949669799959
p53 factor: 41518145342164757248913109060777541318042084222206253
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.17 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 89533903938344267751829294737355958761438294817852011966186821595776191570055553048273392148943627
skew: 478587.26
c0: 59520006393177244997809080
c1: 182187837727413717828
c2: -8627391062180080
c3: -2028021441
c4: 11340
Y0: -298087869772504706952103
Y1: 10541006010443
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 10000
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [840000, 1060001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 203366 x 203595
Total sieving time: 1.14 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:
gnfs,97,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1680000,1680000,26,26,52,52,2.5,2.5,100000
total time: 1.17 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)

37×10168+89

c127

name 名前Eric Jeancolas
date 日付July 9, 2022 01:19:35 UTC 2022 年 7 月 9 日 (土) 10 時 19 分 35 秒 (日本時間)
composite number 合成数
2153837757475684583021775604845257968806900707743197755746473726897078407518888656674237455033961079388010006059508735252782801<127>
prime factors 素因数
3179140488767128135864105650177243963820633204372779513243941<61>
677490587498680709944276898613647674528793120238067034443812486461<66>
factorization results 素因数分解の結果
2153837757475684583021775604845257968806900707743197755746473726897078407518888656674237455033961079388010006059508735252782801=3179140488767128135864105650177243963820633204372779513243941*677490587498680709944276898613647674528793120238067034443812486461

cado polynomial
n: 2153837757475684583021775604845257968806900707743197755746473726897078407518888656674237455033961079388010006059508735252782801
skew: 0.18
type: snfs
c0: 1
c5: 4625
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 4625*x^5+1
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4500000
tasks.lim1 = 4500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 677490587498680709944276898613647674528793120238067034443812486461 3179140488767128135864105650177243963820633204372779513243941
Info:Square Root: Total cpu/real time for sqrt: 166.63/53.036
Info:Quadratic Characters: Total cpu/real time for characters: 23.59/9.24873
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.2/91.7021
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.19999999999999s
Info:Square Root: Total cpu/real time for sqrt: 166.63/53.036
Info:Linear Algebra: Total cpu/real time for bwc: 6711.79/1726.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4197.88, WCT time 1074.08, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20992 iterations)
Info:Linear Algebra: Lingen CPU time 114.85, WCT time 29.19
Info:Linear Algebra: Mksol: CPU time 2297.12,  WCT time 586.3, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10496 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 52.66/56.7389
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11627229
Info:Lattice Sieving: Average J: 1897.09 for 349757 special-q, max bucket fill -bkmult 1.0,1s:1.162240
Info:Lattice Sieving: Total time: 45066.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.03/17.6615
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.63/50.9512
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.9s
Info:Filtering - Merging: Merged matrix has 669296 rows and total weight 113849590 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 143.82/40.6533
Info:Filtering - Merging: Total cpu/real time for replay: 23.56/19.6276
Info:Generate Factor Base: Total cpu/real time for makefb: 1.96/1.06639
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 90567/24777.9
Info:root: Cleaning up computation data in /tmp/cado.rl1jxp34
677490587498680709944276898613647674528793120238067034443812486461 3179140488767128135864105650177243963820633204372779513243941
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)

37×10171+89

c160

name 名前Bob Backstrom
date 日付July 6, 2022 16:16:38 UTC 2022 年 7 月 7 日 (木) 1 時 16 分 38 秒 (日本時間)
composite number 合成数
2151572342762315951121790447161273720678955718692047956132245540473314700284511554158768357867947460667267254749613631525759098886533143491062321665996919968671<160>
prime factors 素因数
1143009624192656539252929630748925770379934457960735350489036979883<67>
1882374651291356200537605933112640170033587632315255158332403242500214868463795796511831011037<94>
factorization results 素因数分解の結果
Number: n
N=2151572342762315951121790447161273720678955718692047956132245540473314700284511554158768357867947460667267254749613631525759098886533143491062321665996919968671  ( 160 digits)
SNFS difficulty: 172 digits.
Divisors found:

Thu Jul  7 02:11:41 2022  p67 factor: 1143009624192656539252929630748925770379934457960735350489036979883
Thu Jul  7 02:11:41 2022  p94 factor: 1882374651291356200537605933112640170033587632315255158332403242500214868463795796511831011037
Thu Jul  7 02:11:41 2022  elapsed time 00:15:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 37x10^171+8 = 41(170)2
#
n: 2151572342762315951121790447161273720678955718692047956132245540473314700284511554158768357867947460667267254749613631525759098886533143491062321665996919968671
m: 10000000000000000000000000000000000
deg: 5
c5: 185
c0: 4
skew: 0.46
# Murphy_E = 1.888e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1144091 hash collisions in 11874651 relations (11464401 unique)
Msieve: matrix is 848520 x 848745 (293.6 MB)

Sieving start time : 2022/07/07 00:51:27
Sieving end time  : 2022/07/07 01:56:21

Total sieving time: 1hrs 4min 54secs.

Total relation processing time: 0hrs 11min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 59sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
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)

37×10172+89

c154

name 名前Bob Backstrom
date 日付July 3, 2022 02:03:04 UTC 2022 年 7 月 3 日 (日) 11 時 3 分 4 秒 (日本時間)
composite number 合成数
1892276219093171377923583918036624607034676666103020016754699199781627843644718605054413951665735359491040994007731170255895392809092504720150294581441201<154>
prime factors 素因数
5089496537807913049530196149166916133581<40>
371800276321278314854405092277260563930494418655336870442796257362941433018741878040693165918476942299045784156021<114>
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 1892276219093171377923583918036624607034676666103020016754699199781627843644718605054413951665735359491040994007731170255895392809092504720150294581441201 (154 digits)
Using B1=18410000, B2=58560741340, polynomial Dickson(12), sigma=1:2623321584
Step 1 took 33693ms
Step 2 took 13887ms
********** Factor found in step 2: 5089496537807913049530196149166916133581
Found prime factor of 40 digits: 5089496537807913049530196149166916133581
Prime cofactor 371800276321278314854405092277260563930494418655336870442796257362941433018741878040693165918476942299045784156021 has 114 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)

37×10176+89

c159

name 名前Bob Backstrom
date 日付July 9, 2022 17:05:44 UTC 2022 年 7 月 10 日 (日) 2 時 5 分 44 秒 (日本時間)
composite number 合成数
157327738301680964878210721980925603474666349380178039413878937909252551198639512340549122819321417366663948874943674931356992623235523989934157595798290041519<159>
prime factors 素因数
14137120942486562122255756490383102330699<41>
11128697203746830784438369495580694432190688273058692934953533510166409242259531137981128947137929714207268598802315181<119>
factorization results 素因数分解の結果
Number: n
N=157327738301680964878210721980925603474666349380178039413878937909252551198639512340549122819321417366663948874943674931356992623235523989934157595798290041519  ( 159 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Jul 10 02:30:58 2022  p41 factor: 14137120942486562122255756490383102330699
Sun Jul 10 02:30:58 2022  p119 factor: 11128697203746830784438369495580694432190688273058692934953533510166409242259531137981128947137929714207268598802315181
Sun Jul 10 02:30:58 2022  elapsed time 00:23:44 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 37x10^176+8 = 41(175)2
#
n: 157327738301680964878210721980925603474666349380178039413878937909252551198639512340549122819321417366663948874943674931356992623235523989934157595798290041519
m: 100000000000000000000000000000000000
deg: 5
c5: 185
c0: 4
skew: 0.46
# Murphy_E = 1.191e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1439399 hash collisions in 11804012 relations (11019546 unique)
Msieve: matrix is 1021308 x 1021533 (354.2 MB)

Sieving start time : 2022/07/10 01:17:14
Sieving end time  : 2022/07/10 02:06:57

Total sieving time: 0hrs 49min 43secs.

Total relation processing time: 0hrs 16min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 39sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,27,27,52,52,2.4,2.4,100000
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)

37×10177+89

c152

name 名前Bob Backstrom
date 日付July 9, 2022 17:53:01 UTC 2022 年 7 月 10 日 (日) 2 時 53 分 1 秒 (日本時間)
composite number 合成数
10494243571301531156799837097784211675736661520040766645673583557220688800681242317776130881507876286682659011997637710746549485366597612369492853048213<152>
prime factors 素因数
2334948055189124641096040025076368566968513<43>
4494422712308058208344461366499262817878215262743122270758912959562303653219960809651963830593835947567186901<109>
factorization results 素因数分解の結果
Number: n
N=10494243571301531156799837097784211675736661520040766645673583557220688800681242317776130881507876286682659011997637710746549485366597612369492853048213  ( 152 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Jul 10 03:48:22 2022  p43 factor: 2334948055189124641096040025076368566968513
Sun Jul 10 03:48:22 2022  p109 factor: 4494422712308058208344461366499262817878215262743122270758912959562303653219960809651963830593835947567186901
Sun Jul 10 03:48:22 2022  elapsed time 00:20:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 37x10^177+8 = 41(176)2
#
n: 10494243571301531156799837097784211675736661520040766645673583557220688800681242317776130881507876286682659011997637710746549485366597612369492853048213
m: 100000000000000000000000000000000000
deg: 5
c5: 925
c0: 2
skew: 0.29
# Murphy_E = 1.187e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1426782 hash collisions in 11869035 relations (11105691 unique)
Msieve: matrix is 1000145 x 1000370 (349.3 MB)

Sieving start time : 2022/07/10 02:32:51
Sieving end time  : 2022/07/10 03:27:24

Total sieving time: 0hrs 54min 33secs.

Total relation processing time: 0hrs 16min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.4,2.4,100000
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)

37×10179+89

c161

name 名前Bob Backstrom
date 日付July 9, 2022 13:39:52 UTC 2022 年 7 月 9 日 (土) 22 時 39 分 52 秒 (日本時間)
composite number 合成数
11064708421231475684963698171283260698200913283187483237606687093570360529583040022593624683250561742619386105094546720835467083568452924054181181542823334670247<161>
prime factors 素因数
2117778096913157594866186223157185394784309<43>
5224677900559663442348740125471455407193229404136270494099485718404774888537206533919869632359453840106688850679061483<118>
factorization results 素因数分解の結果
Number: n
N=11064708421231475684963698171283260698200913283187483237606687093570360529583040022593624683250561742619386105094546720835467083568452924054181181542823334670247  ( 161 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sat Jul  9 23:35:09 2022  p43 factor: 2117778096913157594866186223157185394784309
Sat Jul  9 23:35:09 2022  p118 factor: 5224677900559663442348740125471455407193229404136270494099485718404774888537206533919869632359453840106688850679061483
Sat Jul  9 23:35:09 2022  elapsed time 00:21:30 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 37x10^179+8 = 41(178)2
#
n: 11064708421231475684963698171283260698200913283187483237606687093570360529583040022593624683250561742619386105094546720835467083568452924054181181542823334670247
m: 500000000000000000000000000000000000
deg: 5
c5: 74
c0: 5
skew: 0.58
# Murphy_E = 8.701e-11
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1086509 hash collisions in 11880611 relations (11542025 unique)
Msieve: matrix is 1024002 x 1024228 (356.0 MB)

Sieving start time : 2022/07/09 21:10:42
Sieving end time  : 2022/07/09 23:13:23

Total sieving time: 2hrs 2min 41secs.

Total relation processing time: 0hrs 17min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 12sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7100000,7100000,27,27,52,52,2.4,2.4,100000
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)

37×10180+89

c172

name 名前Bob Backstrom
date 日付July 13, 2022 02:34:51 UTC 2022 年 7 月 13 日 (水) 11 時 34 分 51 秒 (日本時間)
composite number 合成数
1032463964453268923994221863753412589468535968636592351332515148167857680597063592700744439267011582093021704223733218612277490116463004488142730552633833220082751734494869<172>
prime factors 素因数
843607252629257653266933305096547906409781372395326698183<57>
1223868051436737276932235455606707952759296282952144938319988886567900812788098320517340741267354006298383651631043<115>
factorization results 素因数分解の結果
Number: n
N=1032463964453268923994221863753412589468535968636592351332515148167857680597063592700744439267011582093021704223733218612277490116463004488142730552633833220082751734494869  ( 172 digits)
SNFS difficulty: 181 digits.
Divisors found:

Wed Jul 13 11:33:00 2022  p57 factor: 843607252629257653266933305096547906409781372395326698183
Wed Jul 13 11:33:00 2022  p115 factor: 1223868051436737276932235455606707952759296282952144938319988886567900812788098320517340741267354006298383651631043
Wed Jul 13 11:33:00 2022  elapsed time 00:19:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 37x10^180+8 = 41(179)2
#
n: 1032463964453268923994221863753412589468535968636592351332515148167857680597063592700744439267011582093021704223733218612277490116463004488142730552633833220082751734494869
m: 1000000000000000000000000000000000000
deg: 5
c5: 37
c0: 8
skew: 0.74
# Murphy_E = 8.625e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3266473 hash collisions in 29407385 relations (27902631 unique)
Msieve: matrix is 880864 x 881090 (299.6 MB)

Sieving start time : 2022/07/13 08:29:04
Sieving end time  : 2022/07/13 11:12:44

Total sieving time: 2hrs 43min 40secs.

Total relation processing time: 0hrs 11min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] 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)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 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)

37×10182+89

c149

name 名前Bob Backstrom
date 日付August 2, 2022 12:46:55 UTC 2022 年 8 月 2 日 (火) 21 時 46 分 55 秒 (日本時間)
composite number 合成数
21196726693861760776908361284788216722226265564641574892729099369124323943017646234302179726454003435144039989275721037133809962800366973333544981691<149>
prime factors 素因数
656563400915917795451839177974717151957<39>
32284356186001145405674829508958943212243966164806530745668800892566788129885949652293403857280768969171581263<110>
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 21196726693861760776908361284788216722226265564641574892729099369124323943017646234302179726454003435144039989275721037133809962800366973333544981691 (149 digits)
Using B1=11030000, B2=35133391030, polynomial Dickson(12), sigma=1:2503751490
Step 1 took 21473ms
Step 2 took 9976ms
********** Factor found in step 2: 656563400915917795451839177974717151957
Found prime factor of 39 digits: 656563400915917795451839177974717151957
Prime cofactor 32284356186001145405674829508958943212243966164806530745668800892566788129885949652293403857280768969171581263 has 110 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 10, 2022 11:47:37 UTC 2022 年 7 月 10 日 (日) 20 時 47 分 37 秒 (日本時間)

37×10188+89

c115

name 名前Eric Jeancolas
date 日付June 30, 2022 03:18:21 UTC 2022 年 6 月 30 日 (木) 12 時 18 分 21 秒 (日本時間)
composite number 合成数
1611954540607596562020808374884952669795692240441278188199624147481867803408803693395814936460846077021387527974937<115>
prime factors 素因数
420608202685780339792903914597780996711124913312843<51>
3832437242817691052554206723212183552278319149700722289587660459<64>
factorization results 素因数分解の結果
1611954540607596562020808374884952669795692240441278188199624147481867803408803693395814936460846077021387527974937=420608202685780339792903914597780996711124913312843*3832437242817691052554206723212183552278319149700722289587660459

cado polynomial
n: 1611954540607596562020808374884952669795692240441278188199624147481867803408803693395814936460846077021387527974937
skew: 29386.383
c0: -18279658579184504439664628
c1: -24922875207909548787508
c2: 2246916453091233637
c3: 61481133072437
c4: -848322310
c5: 8400
Y0: -18155816283645433874731
Y1: 5002491254628157
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.144e-06
# f(x) = 8400*x^5-848322310*x^4+61481133072437*x^3+2246916453091233637*x^2-24922875207909548787508*x-18279658579184504439664628
# g(x) = 5002491254628157*x-18155816283645433874731

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: 3832437242817691052554206723212183552278319149700722289587660459 420608202685780339792903914597780996711124913312843
Info:Square Root: Total cpu/real time for sqrt: 128.36/38.8657
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 121.71/132.096
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.30000000000001s
Info:Square Root: Total cpu/real time for sqrt: 128.36/38.8657
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.75/103.736
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7043292
Info:Lattice Sieving: Average J: 1893.47 for 135411 special-q, max bucket fill -bkmult 1.0,1s:1.244790
Info:Lattice Sieving: Total time: 15424.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/1.12655
Info:Linear Algebra: Total cpu/real time for bwc: 2484.28/641.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1534.31, WCT time 393.21, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13568 iterations)
Info:Linear Algebra: Lingen CPU time 67.53, WCT time 17.19
Info:Linear Algebra: Mksol: CPU time 845.54,  WCT time 216.01, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6784 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.55/17.0746
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.54/31.3306
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 356.15
Info:Polynomial Selection (root optimized): Rootsieve time: 355.09
Info:Filtering - Merging: Merged matrix has 432337 rows and total weight 67345032 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.34/20.7337
Info:Filtering - Merging: Total cpu/real time for replay: 14.59/11.8855
Info:Quadratic Characters: Total cpu/real time for characters: 15.74/6.14727
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): 21750/32.130/40.700/46.350/1.089
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16974/32.430/36.041/41.180/0.831
Info:Polynomial Selection (size optimized): Total time: 1768.07
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 33427.6/9185.94
Info:root: Cleaning up computation data in /tmp/cado.qnab292w
3832437242817691052554206723212183552278319149700722289587660459 420608202685780339792903914597780996711124913312843
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)

37×10189+89

c175

name 名前Ignacio Santos
date 日付July 9, 2022 22:12:38 UTC 2022 年 7 月 10 日 (日) 7 時 12 分 38 秒 (日本時間)
composite number 合成数
1537574887382668900798904095599240644078751988425278907168837288584850830296288284296278991890380876647097132350891240735857714824263799940074506731895531343590753803907291071<175>
prime factors 素因数
40114360323863933896032191485661098998039889<44>
38329787013155221554610574538907768008277328629900791982434442598479823881288276151331001978561192818545813281992764993559176218639<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2129569829
Step 1 took 8359ms
Step 2 took 4282ms
********** Factor found in step 2: 40114360323863933896032191485661098998039889
Found prime factor of 44 digits: 40114360323863933896032191485661098998039889
Prime cofactor 38329787013155221554610574538907768008277328629900791982434442598479823881288276151331001978561192818545813281992764993559176218639 has 131 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)

37×10191+89

c161

composite cofactor 合成数の残り
17919783336688967887497861176407130285804074089359372499589034584072757900978632691471101904344574295104555397024100853009683575900762108009391996646311126300949<161>

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 10:57:47 UTC 2022 年 7 月 12 日 (火) 19 時 57 分 47 秒 (日本時間)

37×10193+89

c180

name 名前Bob Backstrom
date 日付July 15, 2022 20:27:24 UTC 2022 年 7 月 16 日 (土) 5 時 27 分 24 秒 (日本時間)
composite number 合成数
275758618523685661321150426206718281233109274887728932619269427481974836279672905808032042415342112077092687324634066380498907253155622467949599263784336196839774277657693754490979<180>
prime factors 素因数
3425553121280502663617245339361423341793<40>
7049130581701788420953992138720058848836277084564644948336803<61>
11419913971732253847302226797545110616482472783248081583198610208498260336840801<80>
factorization results 素因数分解の結果
Number: n
N=80500464818541363532725442512402020500046625111902963904845747210194298876319152386693092488843184775249014857339141712543060141152340299203  ( 140 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sat Jul 16 06:22:58 2022  p61 factor: 7049130581701788420953992138720058848836277084564644948336803
Sat Jul 16 06:22:58 2022  p80 factor: 11419913971732253847302226797545110616482472783248081583198610208498260336840801
Sat Jul 16 06:22:58 2022  elapsed time 00:48:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 37x10^193+8 = 41(192)2
#
# n: 275758618523685661321150426206718281233109274887728932619269427481974836279672905808032042415342112077092687324634066380498907253155622467949599263784336196839774277657693754490979
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 275758618523685661321150426206718281233109274887728932619269427481974836279672905808032042415342112077092687324634066380498907253155622467949599263784336196839774277657693754490979 (180 digits)
# Using B1=18310000, B2=58560741340, polynomial Dickson(12), sigma=1:2308522333
# Step 1 took 48555ms
# Step 2 took 17737ms
# ********** Factor found in step 2: 3425553121280502663617245339361423341793
# Found prime factor of 40 digits: 3425553121280502663617245339361423341793
# Composite cofactor 80500464818541363532725442512402020500046625111902963904845747210194298876319152386693092488843184775249014857339141712543060141152340299203 has 140 digits
#
n: 80500464818541363532725442512402020500046625111902963904845747210194298876319152386693092488843184775249014857339141712543060141152340299203
m: 100000000000000000000000000000000000000
deg: 5
c5: 4625
c0: 1
skew: 0.18
# Murphy_E = 2.801e-11
type: snfs
lss: 1
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3129204 hash collisions in 28182265 relations (26717430 unique)
Msieve: matrix is 1400834 x 1401059 (490.0 MB)

Sieving start time : 2022/07/16 00:58:53
Sieving end time  : 2022/07/16 05:34:07

Total sieving time: 4hrs 35min 14secs.

Total relation processing time: 0hrs 36min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 10sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11800000,11800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] 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)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 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)

37×10195+89

c190

name 名前Bob Backstrom
date 日付July 22, 2022 18:20:54 UTC 2022 年 7 月 23 日 (土) 3 時 20 分 54 秒 (日本時間)
composite number 合成数
2776022131348762614394620099120496166688574733216770414866753938800266258036208932128809827778588076129630930108465937158061598280486875267473483736711857305860017658501860384993754700480717<190>
prime factors 素因数
1527755951998763333506187903978994704683<40>
1047465250316287571751032952094071597020512435537840943<55>
1734719720466313611183541906803880026595926255687641199370570489449828913307191228683680566062793<97>
factorization results 素因数分解の結果
Number: n
N=2776022131348762614394620099120496166688574733216770414866753938800266258036208932128809827778588076129630930108465937158061598280486875267473483736711857305860017658501860384993754700480717  ( 190 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat Jul 23 04:13:53 2022  found factor: 1527755951998763333506187903978994704683
Sat Jul 23 04:16:03 2022  p40 factor: 1527755951998763333506187903978994704683
Sat Jul 23 04:16:03 2022  p55 factor: 1047465250316287571751032952094071597020512435537840943
Sat Jul 23 04:16:03 2022  p97 factor: 1734719720466313611183541906803880026595926255687641199370570489449828913307191228683680566062793
Sat Jul 23 04:16:03 2022  elapsed time 01:08:14 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 37x10^195+8 = 41(194)2
#
n: 2776022131348762614394620099120496166688574733216770414866753938800266258036208932128809827778588076129630930108465937158061598280486875267473483736711857305860017658501860384993754700480717
m: 1000000000000000000000000000000000000000
deg: 5
c5: 37
c0: 8
skew: 0.74
# Murphy_E = 2.087e-11
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3345139 hash collisions in 27737743 relations (25946131 unique)
Msieve: matrix is 1703517 x 1703742 (592.7 MB)

Sieving start time : 2022/07/22 21:34:27
Sieving end time  : 2022/07/23 03:07:19

Total sieving time: 5hrs 32min 52secs.

Total relation processing time: 0hrs 56min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 20sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13200000,13200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 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)

37×10197+89

c171

name 名前Bob Backstrom
date 日付July 28, 2022 02:03:04 UTC 2022 年 7 月 28 日 (木) 11 時 3 分 4 秒 (日本時間)
composite number 合成数
226739090200924068095271362250638249455023360062250839420448964376457073084708813796242458371863049854945003942352862784238209683575428184071535416863072348623969011080317<171>
prime factors 素因数
9378638684140208239401127785659553503553021393299948227427335279289159699149223311601<85>
24176119566729048854705737591557308329217772805670079158066664958668801062626836823117<86>
factorization results 素因数分解の結果
Number: n
N=226739090200924068095271362250638249455023360062250839420448964376457073084708813796242458371863049854945003942352862784238209683575428184071535416863072348623969011080317  ( 171 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Jul 28 10:38:09 2022  p85 factor: 9378638684140208239401127785659553503553021393299948227427335279289159699149223311601
Thu Jul 28 10:38:09 2022  p86 factor: 24176119566729048854705737591557308329217772805670079158066664958668801062626836823117
Thu Jul 28 10:38:09 2022  elapsed time 01:14:20 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 37x10^197+8 = 41(196)2
#
n: 226739090200924068095271362250638249455023360062250839420448964376457073084708813796242458371863049854945003942352862784238209683575428184071535416863072348623969011080317
m: 1000000000000000000000000000000000000000
deg: 5
c5: 925
c0: 2
skew: 0.29
# Murphy_E = 1.8e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3346532 hash collisions in 27685836 relations (25889059 unique)
Msieve: matrix is 1756295 x 1756520 (614.7 MB)

Sieving start time : 2022/07/28 03:25:24
Sieving end time  : 2022/07/28 09:23:17

Total sieving time: 5hrs 57min 53secs.

Total relation processing time: 1hrs 1min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 2sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 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)

37×10200+89

c167

composite cofactor 合成数の残り
66719600615375595262206613961921728432794603738315067634202270233773740762981167430497338866170782855545793562634489007049148840302263510133495284336927880877485742353<167>

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)
403e62078ebinaJuly 26, 2022 23:14:52 UTC 2022 年 7 月 27 日 (水) 8 時 14 分 52 秒 (日本時間)

37×10201+89

c187

name 名前ebina
date 日付July 26, 2022 23:44:31 UTC 2022 年 7 月 27 日 (水) 8 時 44 分 31 秒 (日本時間)
composite number 合成数
1639794095380308256607452973498118271651299302319651514625135040869681334148919678774165078503085663835217262321536607333305837523855193547245604982416933347889237707384007553125863068077<187>
prime factors 素因数
8488774837459773989051451225069446028990389<43>
composite cofactor 合成数の残り
193172056837239535025037876353050305368777915943417644750834472487716845396781641401843051943128278937718449266140313363179524614090007216807193<144>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1496589793 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 1639794095380308256607452973498118271651299302319651514625135040869681334148919678774165078503085663835217262321536607333305837523855193547245604982416933347889237707384007553125863068077 (187 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1496589793
Step 1 took 8860ms
Step 2 took 6468ms
********** Factor found in step 2: 8488774837459773989051451225069446028990389
Found probable prime factor of 43 digits: 8488774837459773989051451225069446028990389
Composite cofactor 193172056837239535025037876353050305368777915943417644750834472487716845396781641401843051943128278937718449266140313363179524614090007216807193 has 144 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)
403e656 / 2078ebinaJuly 26, 2022 23:43:24 UTC 2022 年 7 月 27 日 (水) 8 時 43 分 24 秒 (日本時間)

37×10202+89

c197

composite cofactor 合成数の残り
13617315454460605621640019420500051377763174127041750836397597346139792857813733379146398948772689759867106778302154833440358072094337228327195972454452656053699037012893904771831206529480678280691<197>

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)

37×10205+89

c196

composite cofactor 合成数の残り
3260245473857725439182809136470720534459014987598195750209853031071431550940475564385698855955818472380729982161890094663079857806149608284576233624266945815242498186566701058012809865102805257437<196>

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)

37×10206+89

c177

composite cofactor 合成数の残り
551744752743682579915086661991247918403126095496183104497294784183220814543073831472878625369083738278015020000281255063476954105743752749767670260118100987251268878209543362317<177>

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)

37×10207+89

c169

composite cofactor 合成数の残り
6484578993360226001294264657641001876156081492778288961872205694527145971075364521331528157329643616348010413219204730973088054336662511793450716228156704478877512968299<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)

37×10208+89

c134

name 名前Ignacio Santos
date 日付July 2, 2022 13:12:25 UTC 2022 年 7 月 2 日 (土) 22 時 12 分 25 秒 (日本時間)
composite number 合成数
59749810866755796355847728192952848421247834119274539780505756712967664849257951595031574335843626442648866389138072327526053948872457<134>
prime factors 素因数
151999439942479817274554938520766412866191<42>
393092309349077455927297097362617645318900442017022842697332598802381299773498368675023108327<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:438424028
Step 1 took 4829ms
Step 2 took 3265ms
********** Factor found in step 2: 151999439942479817274554938520766412866191
Found prime factor of 42 digits: 151999439942479817274554938520766412866191
Prime cofactor 393092309349077455927297097362617645318900442017022842697332598802381299773498368675023108327 has 93 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)

37×10209+89

c146

composite cofactor 合成数の残り
23020322809157840556729029018228857587755538701944131973914300950958946072712456951100838431201803943778905054872860900188382022770606556276076863<146>

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)

37×10212+89

c208

composite cofactor 合成数の残り
6152147598334597017704883142450483525546377216435877994599412054218710509863389068465089056493342378653045479335435039972331963233435758277132633651249717333758995437434321667531292815621799220506271865065113<208>

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)

37×10216+89

c186

composite cofactor 合成数の残り
388475803695025867498850387719141257699941725949165259651910401716760930439075911537268185144968323026682609080276745952426997407929200379620693747620989597413431955247894579293456829309<186>

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)

37×10217+89

c162

composite cofactor 合成数の残り
404901582909434248502857723044984253305073344508364844905759700215118875711402167849022035314815899543346509820975051114575490990107286481167741542324098344253037<162>

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)

37×10218+89

c191

composite cofactor 合成数の残り
40034217861488438368230478246264119225112795252768323503046127642019400887331885850560529130416359424009766561289509886269410130371798491639596393082874064891973276275258724669871849798899467<191>

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)

37×10219+89

c187

composite cofactor 合成数の残り
5898552506261620619966179803512121331591280892164056567965445501908217912116843022348391244390734433981755301350022379409316246800652286857990264019311929836601208770898104436987064093703<187>

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)

37×10221+89

c180

composite cofactor 合成数の残り
126326799624505273245865767473904152739954026073821971580186767917713604529666920498787636263033647639531626648487942639417755712333619664193501385903827129463957115064370299808713<180>

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)

37×10222+89

c173

composite cofactor 合成数の残り
13729701224892087122996635143773396474865802028042151995254470700255881978303658980345207620764131579967081828476088150947486742833130456281439149563424589991684914911225931<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)

37×10223+89

c203

composite cofactor 合成数の残り
20954635391042367995408869435567078427057696979051921548840883501210824228315321844587059727751679822918016903754126286357098310180982714960724492069357490205964157698701476376566150509412159077527246807<203>

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)

37×10224+89

c151

composite cofactor 合成数の残り
1986826250842309528478919661422958514136780721981537332746775291208748223709210872696782039249897858885338112439059561257205585950731874069719039444167<151>

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 17:51:24 UTC 2022 年 6 月 30 日 (木) 2 時 51 分 24 秒 (日本時間)
4511e64480Ignacio SantosJune 30, 2022 20:02:34 UTC 2022 年 7 月 1 日 (金) 5 時 2 分 34 秒 (日本時間)

37×10225+89

c215

composite cofactor 合成数の残り
40440407435837404394411654207467185984565941900713800191444502322117263967842234154340800061828029971031668149548336296253908686885703270054834657372221926339653322722427261825075199876062988961849662877535171787239<215>

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)

37×10226+89

c222

composite cofactor 合成数の残り
118029557153101561562941015845308548402326394471367943427476260109072070761590502512434573345480807756009299453108451937088332044578168742710877348788187346721075102526215321640113206295249980222074206777576170534208155651<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)

37×10231+89

c188

composite cofactor 合成数の残り
46225619315693563008298383474799123625454941076886814387286206530243246694178895534515489571805394149936031391499283051627384021699792964278889727600832226264914957022798103463626122085627<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)

37×10233+89

c220

composite cofactor 合成数の残り
1183194354915959434037350699128357662715372120235163091417667118926560650459686671434495840268035482767754643045252692902957084739980734762852553196736799353441310434216305341572874556422049609282147379218049651449138669<220>

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)

37×10235+89

c139

name 名前Ignacio Santos
date 日付June 29, 2022 16:51:54 UTC 2022 年 6 月 30 日 (木) 1 時 51 分 54 秒 (日本時間)
composite number 合成数
2796949937646841839359476052736421847489261832470838381885661615196723009544060799691863520862861192608463855321055926773006034363915192973<139>
prime factors 素因数
14223892489567186397234531271577108729<38>
196637449256476291196347730296954016917636741029868099975073559185547820119683223004880826354110730037<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2703969663
Step 1 took 5906ms
Step 2 took 3469ms
********** Factor found in step 2: 14223892489567186397234531271577108729
Found prime factor of 38 digits: 14223892489567186397234531271577108729
Prime cofactor 196637449256476291196347730296954016917636741029868099975073559185547820119683223004880826354110730037 has 102 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)

37×10236+89

c223

composite cofactor 合成数の残り
1403518770834926736274004902594506211827304806863062508330480482128380189845544107643633926690780268081729512558785506236447447412888881520109195870005878587958249271853775898946251088868940266103304324711185157463668901961<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)

37×10237+89

c219

composite cofactor 合成数の残り
341875510702068050390858663074924557310390172941640499044334478043283967406833554524135727227448234473244301183840948471396387084803688772104690219468001475345909236972877160449432759146699553463953405970316424134744483<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)

37×10239+89

c195

composite cofactor 合成数の残り
336678708624082688096145273521353823589240171246067964534404870111120657914751945356758301202490729081869639366060375247359590140632003292482088129437172501839991354883944663237437274830641913327<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)

37×10240+89

c238

composite cofactor 合成数の残り
4989212513484358144552319309600862998921251348435814455231930960086299892125134843581445523193096008629989212513484358144552319309600862998921251348435814455231930960086299892125134843581445523193096008629989212513484358144552319309600863<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)

37×10242+89

c154

composite cofactor 合成数の残り
5105936460213831857386929786849901627101874021669824286434573254323075603170620953404995570744056692008293175276698102109480801689453870167097577638231277<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 SantosJune 29, 2022 18:16:58 UTC 2022 年 6 月 30 日 (木) 3 時 16 分 58 秒 (日本時間)
4511e64480Ignacio SantosJuly 1, 2022 11:33:53 UTC 2022 年 7 月 1 日 (金) 20 時 33 分 53 秒 (日本時間)

37×10243+89

c213

composite cofactor 合成数の残り
180412064135885170812608091130451673955685551943895474131725996469398438048892864691688956744587242317481883854749869501673935518352022299177379659167095032601085261782677272625355721991819476082934209496103728211<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)

37×10244+89

c219

composite cofactor 合成数の残り
219218420928223248386860264015167448206617220157703581398780745759496363721738560785934736814922943405130127374818591946673265682671046852607697340978547928427570696204198998648993314616920034135778449130286121856286741<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)

37×10245+89

c203

composite cofactor 合成数の残り
26433431359706373658178259067549996023297198185425598802336483181827166958780304161264434900050769698707635976172310713793465175961446361733187012544627035200291194245799006880318280956530760803329116793<203>

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)

37×10246+89

c200

composite cofactor 合成数の残り
77332061037220692705575417572149295144964104771826920173522376640136331146008895904627590321745545773959323603096813951761499449581723269169555304246217140305595418683290865799554489894364662419312723<200>

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)

37×10247+89

c217

composite cofactor 合成数の残り
1009190531036543177785213766253255848484434898693435309837073472063427309607720797018506020676326874238987257293904158374564230908475446555895076578970268369436430725163716085764561877562489491717747912076703267303057<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)

37×10248+89

c232

composite cofactor 合成数の残り
3502422264764914948744515130419844021735017171043368813232289560959893966698005547986524603182628488927157330404950798044942382439639907621023773073052691340176082359511357593950515340559453684816204291631331468423435396933357936581<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)

37×10251+89

c212

composite cofactor 合成数の残り
27093832247735337987400047263486096065987240266485431125570911091536192978970406308779116482166300955606392155689498708008498895722334728754556312533436411114112227294340662431355440851434096975946566154483175861<212>

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)

37×10253+89

c203

composite cofactor 合成数の残り
62836069432808411035952196889648146270296110452895134570591624859758021408680533576430762031584470010409371343717783962801907790222504735415303105774125092088819883529098620346260034704773882245124922091<203>

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)

37×10254+89

c250

composite cofactor 合成数の残り
5397425573877627233367176650445214671661473468006395219923210680484076135793392384086638891806416226120038744763038429670086008705901574297751169928462229691092205533965853260045046622086848953774696868909661683529974675862712833619251012381986019209<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)

37×10255+89

c245

composite cofactor 合成数の残り
25763175938578202597105582451881477804461486754244890306594025356566277537904280334387491798585177925018967309546075442316801928997380596700159556918446992318812475271231938453943496296883223593661346001923150963412978537946517164612000040472217<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)

37×10256+89

c255

composite cofactor 合成数の残り
190329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218107<255>

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)

37×10259+89

c215

composite cofactor 合成数の残り
19556382286341339283904739859979443151469604986932792611348075765278511844373614623127855740544466369552158116438238122363023684791964937219248443979783482976912794932121058986448676220795747732033274717745956329063<215>

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)

37×10260+89

c172

composite cofactor 合成数の残り
2945605897119298697549549192017237702585306853181429030136425240433096888236864953657006845098917446587308816510533493898778595381364817168423492453220186818881418992536177<172>

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 19:26:29 UTC 2022 年 6 月 30 日 (木) 4 時 26 分 29 秒 (日本時間)
4511e64480Ignacio SantosJuly 2, 2022 15:58:55 UTC 2022 年 7 月 3 日 (日) 0 時 58 分 55 秒 (日本時間)

37×10261+89

c234

composite cofactor 合成数の残り
509304102286640540675372759986187729523078560309801478337820263251654040755161387321382918899868587718101783300513864115274648502939989936848002475571605404273725079976391731909578208153094005574295018451408753960310178414857884429679<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)

37×10262+89

c207

composite cofactor 合成数の残り
668589113228289315386258755276065469494644936020245465951786575061116057400910823384737160401541009441357162118807578974846607129165057627656235968475911835013701419669851764423290623923939853787268155171141<207>

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)

37×10263+89

c232

composite cofactor 合成数の残り
3869199972042091879906745752571396148831220431206158225011897022924259671163936109845822415485926264946273833677016355751828460765925952369197225763870731606667366502486323455938794940879668821033309058722160132754514857256877483761<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)

37×10264+89

c224

composite cofactor 合成数の残り
27986162724521996895415081303824261616462260962092167930166994453952196405296886034397932933124477243133084318518650007882253997528387065091866599457182813707030800434694613569476348098475954568493592335084922116443998392017<224>

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)

37×10265+89

c221

composite cofactor 合成数の残り
23679995421849339410252898358085765558618205484984847071751030493733796364753066468986611669427046471433012619549450954880718249861494896624366493394588685788256735019772651620117025515750542085553906905358617784849658821<221>

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)

37×10268+89

c251

composite cofactor 合成数の残り
72631156288835809276707085431495793554266282522038883921539372589325650486811948498749261360708485689096774173422053954498726125444589054093679100564129854104228591046623796154348402132508469154242042069237538573946049032347974452490061702935688387119<251>

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)

37×10269+89

c244

composite cofactor 合成数の残り
7070456187776125960990434540708403419754868652837725515118039945929821736402705416064900762977140620789103246543607760964606235515809696285173433745645869373057166013643319808385948840079381273641442878365484086047284016579382160244775554462721<244>

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)

37×10270+89

c266

composite cofactor 合成数の残り
80660632379357854165576658120999668637402117232599103576972043460820732834545422836115035141875512304016463489073754338234011754652156472906747588901096984600359266816651842550445595493468668794363347808646819791067161966549817750571164477929506967334623903451403059<266>

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)

37×10271+89

c264

composite cofactor 合成数の残り
912885480204112903386576170009791461625186038659091434392578535143100671096164659196954085057912171889960527621358551631884940348312491220262212685579008915861348703127253531825625490873326254079142414260167308913676344969968436269017106960709349717821670101188569<264>

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)

37×10272+89

c227

composite cofactor 合成数の残り
42483454713285111433734065669979922548257121972699909072770237121417591785775038013980613253628974427023537974570489257266983311453001352339514810736800088101966748248731413970058478779698268338824862574429739996294164843748539<227>

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)

37×10273+89

c229

composite cofactor 合成数の残り
3064765873477744782114501936896321759053658872042586039556440648268033114248060163565190115699761703092665906472918224256729262518867863747069921111878491980105056875150584617170771305947675205832755716516153316141373583277107139<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)

37×10274+89

c266

composite cofactor 合成数の残り
31508474297495521772080849420669556550352687569339464594938087506884014043536142536658510577170345079386663764862217764519093545108758420683186605385552280779335331248559632676509313162083610564476551586566235472480577915859425516227536330451155427913057078843816013<266>

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)

37×10275+89

c226

composite cofactor 合成数の残り
1259613552927446157760176858622517153419760734418131924071596327516037909179739461549563736776689402688922068169144636715735461723426586251421493020676586204007753563051294018111109068744188217369683059725754108602193497538853<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)

37×10276+89

c224

composite cofactor 合成数の残り
23839915219077459227598996468078562010191854458336309241003320547179686513420579514535625160825612275204240913121730279648953899595286965327622005929542771977914380128053736863150470635430211467081387737623291210802561609019<224>

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)

37×10277+89

c224

composite cofactor 合成数の残り
54776914135246367507168331650321701893757312761400572946775658536119679525538687432944548260737765918271957604382556710282545098844601825471165795230069334092265004381705219693895035115483803894627506599225902264642922930997<224>

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)

37×10279+89

c240

composite cofactor 合成数の残り
531926759247991612370553113259963410704059888931510050609663647728239466074396392934655884553026407853364034781466591160230331063203384813873450152957708677170306112220602313606760896631985851012296854263562587446994792713350526635278555729<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)

37×10280+89

c197

composite cofactor 合成数の残り
72798862399992469151968216569105866074989254278964284414415911228637761135028814318938948117087264123050387076583610602224130250646326071635264480107965781778644407958586019504332315570605582870591<197>

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)

37×10281+89

c233

composite cofactor 合成数の残り
33480672502073387385831077974788463740827950988316581090015820567222859332267872623059476429202025241113103211457862537788412613394674178854724841076113918673988122109969812802780472499522253417623660948572841881994871589011882588307<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)

37×10282+89

c263

composite cofactor 合成数の残り
15791488572803294611853768368772271041413725441515245869617598716246074655456736448410926176460547966381686703884024755672984428969579660314120081439055125512212161855647102081954206897787895871426627840232053275081981839616504304048160421529272838431827040868219<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)

37×10283+89

c209

composite cofactor 合成数の残り
12872940917297115529721604628947586744780946277741442652526860203758355255706048326734995811061181793700843319061039095367806870313882278862714629861361056595832974937022750460192464770439593588041141959548741<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)

37×10284+89

c228

composite cofactor 合成数の残り
184764593355406902793239716372148534738891481588442161431275455940210303522252086208591620948467022135339790712096454443409040896768698414673029706344462879101897556094392248658534826792442473171409539466767767101128506480824561<228>

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)

37×10285+89

c220

composite cofactor 合成数の残り
3173234628500248895162495603835512031415292459349747940895310092918925477594164846117736445780058308037914476619927224890756663247117211113542371917410555847537097298664185578155167960844474805249143662896680972456869491<220>

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)

37×10287+89

c236

composite cofactor 合成数の残り
49255807815054252532333157202421076418428617115921980624968534290522503391353895535034763649716752049521421335777387198648455132967204900741512415055563552085710804243937043812732101101762331631792929298787114453522313459212741940911251<236>

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)

37×10288+89

c202

composite cofactor 合成数の残り
5309145306454453868787497522340694889764032074038472306234545502874897402576552963499988083733894488493145451722356006678273446670035259082886493154528505321090815219992112978840150240900242111936947487<202>

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)

37×10289+89

c261

composite cofactor 合成数の残り
453125243959821737797583260951398770428069484544955576702778747740912917807742703452093121683671834441239105709687836626264230761444899196642581175829497800804649922823070519449295379176839058657617204317212983365627818175650268411376362728061427822635622636013<261>

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)

37×10290+89

c283

composite cofactor 合成数の残り
1386194763169583809393826201430211916749824115861976710315497058915816044360078682992330470605868925637226764190518500351624411508996363551069403702681765957219979538926085814375441527384139676233277774347507709782991464585920291211556072436861668363653788683536947660693533950512799<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)

37×10291+89

c246

composite cofactor 合成数の残り
389239412691093289603979291567319310038049010264930959031288755860796762222835904332922882350138421026655453703006261522121856330213082103862879291629245553824550634906901139876113327326913720735424434157773417817453357159946541023004537309687081<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)

37×10293+89

c271

composite cofactor 合成数の残り
5481292002261528354488135588743463377692330015302115025980594859855544394104866605811387185874501593770732058369072371744458178985250063787122858005401642604128853994876097605479444153341960705322137833765772794549321305912401504130022968191828536928334909737442998718743<271>

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)

37×10294+89

c235

composite cofactor 合成数の残り
1144303949287811032486374386862101202265088957191295127937086649330845155558527223381159171181337852522911075941897111956272655996193347404119713423996716230455493856550704977581509179833312792271808589176370000840359696890112478522997<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)

37×10295+89

c240

composite cofactor 合成数の残り
197070675183922861071268184669259193475954707469273648313779905944564817803243460869242501459364430684949128367080688899469636704584224464336976675052550347322007903312721213334556918958042075603494796158255204700299927710559664142343848603<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)

37×10296+89

c280

composite cofactor 合成数の残り
1928997441269786644563095685063490885932963418104688744392612860389569186757502888455643143370780218298041130509034180696004011988334097487766626003601668314963999816102236654820163926448218129220783213729477556986025874140802723777621611894305128601364599349337905553052688363061<280>

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)

37×10298+89

c222

composite cofactor 合成数の残り
935792953222828435573798932431168457609957538928839179329040397386515932565144321521607422194494478765905691882785303575215835516182398955473692946545671926686291363631436657466220210578668149058598746006728391767214484559<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)

37×10299+89

c265

composite cofactor 合成数の残り
5560186106274008477078879347900105639399816330266687072328017328073469207140300488685369111592169955578162425698251860733169840409624054833876375269904421202630090235465129755918290819611245690030167096161545229413532158505977759278639773647030051867216764798601559<265>

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)

37×10300+89

c283

composite cofactor 合成数の残り
1951390395484959376325803160513068082348054778050848169847665935312351279778841239280747651016709078926800913234493756178375293227947366893525876363398550171858268308498193652939816060890819506591360973675073284041247408185014027476499383253652948563906897130119698509155440358703869<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)
403e61792Dmitry DomanovJuly 1, 2022 07:37:13 UTC 2022 年 7 月 1 日 (金) 16 時 37 分 13 秒 (日本時間)
4511e63584Dmitry DomanovJuly 9, 2022 14:13:57 UTC 2022 年 7 月 9 日 (土) 23 時 13 分 57 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJuly 9, 2022 14:13:57 UTC 2022 年 7 月 9 日 (土) 23 時 13 分 57 秒 (日本時間)