Table of contents 目次

56×10106+259

c105

name 名前Dmitry Domanov
date 日付October 5, 2022 21:02:03 UTC 2022 年 10 月 6 日 (木) 6 時 2 分 3 秒 (日本時間)
composite number 合成数
108212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647343<105>
prime factors 素因数
107889530254695728949298480375980629<36>
1002994082289682057481273526667614524861324969508783954817495084298867<70>
factorization results 素因数分解の結果
N=108212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647343
  ( 105 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=107889530254695728949298480375980629 (pp36)
 r2=1002994082289682057481273526667614524861324969508783954817495084298867 (pp70)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.10 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 108212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647343
m: 200000000000000000000000000
deg: 4
c4: 14
c0: 1
skew: 0.52
# Murphy_E = 2.246e-07
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 305001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 37700 x 37925
Total sieving time: 0.10 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,106.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.10 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10116+259

c101

name 名前Dmitry Domanov
date 日付October 5, 2022 21:39:50 UTC 2022 年 10 月 6 日 (木) 6 時 39 分 50 秒 (日本時間)
composite number 合成数
23916528086178864638049215709997873866054175447613066472044983596118737342821090985857787069088925453<101>
prime factors 素因数
41828130020981809400177787066004589655763429886989<50>
571780953970016485154810919001592160823489267115777<51>
factorization results 素因数分解の結果
N=23916528086178864638049215709997873866054175447613066472044983596118737342821090985857787069088925453
  ( 101 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=41828130020981809400177787066004589655763429886989 (pp50)
 r2=571780953970016485154810919001592160823489267115777 (pp51)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.47 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 23916528086178864638049215709997873866054175447613066472044983596118737342821090985857787069088925453
m: 100000000000000000000000000000
deg: 4
c4: 56
c0: 25
skew: 0.82
# Murphy_E = 4.761e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61348 x 61573
Total sieving time: 0.46 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,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 0.47 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10125+259

c122

name 名前Dmitry Domanov
date 日付October 6, 2022 00:17:04 UTC 2022 年 10 月 6 日 (木) 9 時 17 分 4 秒 (日本時間)
composite number 合成数
15020451954670421779655334272111580500234694561791725340307114598001743445316167102527995708442298665593777241333065110977<122>
prime factors 素因数
1184269670720530091258171938244575486322843<43>
12683303749163583469815099789267893257656821053512645373328127780430433978710739<80>
factorization results 素因数分解の結果
N=15020451954670421779655334272111580500234694561791725340307114598001743445316167102527995708442298665593777241333065110977
  ( 122 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1184269670720530091258171938244575486322843 (pp43)
 r2=12683303749163583469815099789267893257656821053512645373328127780430433978710739 (pp80)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.95 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 15020451954670421779655334272111580500234694561791725340307114598001743445316167102527995708442298665593777241333065110977
m: 20000000000000000000000000000000
deg: 4
c4: 7
c0: 5
skew: 0.92
# Murphy_E = 2.634e-08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89661 x 89888
Total sieving time: 0.93 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000
total time: 0.95 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10135+259

c134

name 名前Bob Backstrom
date 日付October 6, 2022 09:45:40 UTC 2022 年 10 月 6 日 (木) 18 時 45 分 40 秒 (日本時間)
composite number 合成数
27654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321<134>
prime factors 素因数
2145577219444000356838603294898693653947601<43>
12888988910322507163132928083303616207203683371173918433931081330634696959069257547473034721<92>
factorization results 素因数分解の結果
Number: n
N=27654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321  ( 134 digits)
SNFS difficulty: 135 digits.
Divisors found:

Thu Oct  6 20:39:50 2022  p43 factor: 2145577219444000356838603294898693653947601
Thu Oct  6 20:39:50 2022  p92 factor: 12888988910322507163132928083303616207203683371173918433931081330634696959069257547473034721
Thu Oct  6 20:39:50 2022  elapsed time 00:02:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 56x10^135+25 = 62(134)5
#
n: 27654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321
m: 2000000000000000000000000000000000
deg: 4
c4: 140
c0: 1
skew: 0.29
# Murphy_E = 8.981e-09
type: snfs
lss: 1
rlim: 1260000
alim: 1260000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1260000/1260000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 6230000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 412126 hash collisions in 5852575 relations (6089121 unique)
Msieve: matrix is 192219 x 192444 (63.4 MB)

Sieving start time : 2022/10/06 20:26:19
Sieving end time  : 2022/10/06 20:34:33

Total sieving time: 0hrs 8min 14secs.

Total relation processing time: 0hrs 1min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 11sec.

Prototype def-par.txt line would be:
snfs,135,4,0,0,0,0,0,0,0,0,1260000,1260000,26,26,47,47,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10137+259

c126

name 名前Ignacio Santos
date 日付October 6, 2022 11:07:26 UTC 2022 年 10 月 6 日 (木) 20 時 7 分 26 秒 (日本時間)
composite number 合成数
280935062270484997250624667375654077841960472127837900050637221694861163661922421588718129438970825759551075761947254624192429<126>
prime factors 素因数
31440662817247536489247356655345065357294301291<47>
8935405207690827366551772152657205668363242585040723574165289268400937217166919<79>
factorization results 素因数分解の結果
Number: 1
N=280935062270484997250624667375654077841960472127837900050637221694861163661922421588718129438970825759551075761947254624192429
  ( 126 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=31440662817247536489247356655345065357294301291 (pp47)
 r2=8935405207690827366551772152657205668363242585040723574165289268400937217166919 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.19 hours.
Scaled time: 32.70 units (timescale=7.800).
Factorization parameters were as follows:
n: 280935062270484997250624667375654077841960472127837900050637221694861163661922421588718129438970825759551075761947254624192429
m: 20000000000000000000000000000000000
deg: 4
c4: 7
c0: 5
skew: 0.92
# Murphy_E = 6.798e-09
type: snfs
lss: 1
rlim: 1400000
alim: 1400000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [700000, 1100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 154250 x 154474
Total sieving time: 4.17 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1400000,1400000,26,26,48,48,2.3,2.3,100000
total time: 4.19 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10143+259

c120

name 名前Ignacio Santos
date 日付October 6, 2022 13:26:24 UTC 2022 年 10 月 6 日 (木) 22 時 26 分 24 秒 (日本時間)
composite number 合成数
591844250706932504188177586076704196389596676906841002260182895808275566323248678486374178120988688069410681939807710867<120>
prime factors 素因数
30389026546497518110479847155099490956115332771092146519<56>
19475590960485880019575085057461581150513396523449836094253683493<65>
factorization results 素因数分解の結果
Number: 1
N=591844250706932504188177586076704196389596676906841002260182895808275566323248678486374178120988688069410681939807710867
  ( 120 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=30389026546497518110479847155099490956115332771092146519 (pp56)
 r2=19475590960485880019575085057461581150513396523449836094253683493 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.36 hours.
Scaled time: 49.80 units (timescale=7.831).
Factorization parameters were as follows:
n: 591844250706932504188177586076704196389596676906841002260182895808275566323248678486374178120988688069410681939807710867
m: 200000000000000000000000000000000000
deg: 4
c4: 140
c0: 1
skew: 0.29
# Murphy_E = 3.581e-09
type: snfs
lss: 1
rlim: 1720000
alim: 1720000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1720000/1720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [860000, 1460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 239817 x 240042
Total sieving time: 6.31 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,143.000,4,0,0,0,0,0,0,0,0,1720000,1720000,26,26,48,48,2.3,2.3,100000
total time: 6.36 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10147+259

c142

name 名前Ignacio Santos
date 日付October 7, 2022 11:15:03 UTC 2022 年 10 月 7 日 (金) 20 時 15 分 3 秒 (日本時間)
composite number 合成数
1025132683747024712562406096244398954181603170222824487673923599240852635803765806607803914084728131608730652336776223145756934633604307021747<142>
prime factors 素因数
162905737323853311256109138646711560056015854339385703600551<60>
6292796684680795920447323599780649811610245618445394074228573494101705758528453397<82>
factorization results 素因数分解の結果
Number: 1
N=1025132683747024712562406096244398954181603170222824487673923599240852635803765806607803914084728131608730652336776223145756934633604307021747
  ( 142 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=162905737323853311256109138646711560056015854339385703600551 (pp60)
 r2=6292796684680795920447323599780649811610245618445394074228573494101705758528453397 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.25 hours.
Scaled time: 33.09 units (timescale=7.788).
Factorization parameters were as follows:
n: 1025132683747024712562406096244398954181603170222824487673923599240852635803765806607803914084728131608730652336776223145756934633604307021747
m: 200000000000000000000000000000
deg: 5
c5: 7
c0: 1
skew: 0.68
# Murphy_E = 2.548e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 290910 x 291136
Total sieving time: 4.20 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 4.25 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10148+259

c125

name 名前Ignacio Santos
date 日付October 7, 2022 13:26:22 UTC 2022 年 10 月 7 日 (金) 22 時 26 分 22 秒 (日本時間)
composite number 合成数
30987778195164405946682114395589074221457864963690359733275673369408703923949633738814749779858907784317598770232529818762773<125>
prime factors 素因数
53137305989326135189469954541529907<35>
583164268835703159557355233519601845712341592689244768040365651782897076211013353133945239<90>
factorization results 素因数分解の結果
Number: 1
N=30987778195164405946682114395589074221457864963690359733275673369408703923949633738814749779858907784317598770232529818762773
  ( 125 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=53137305989326135189469954541529907 (pp35)
 r2=583164268835703159557355233519601845712341592689244768040365651782897076211013353133945239 (pp90)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.61 hours.
Scaled time: 43.72 units (timescale=7.788).
Factorization parameters were as follows:
n: 30987778195164405946682114395589074221457864963690359733275673369408703923949633738814749779858907784317598770232529818762773
m: 200000000000000000000000000000
deg: 5
c5: 70
c0: 1
skew: 0.43
# Murphy_E = 1.837e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 336427 x 336652
Total sieving time: 5.55 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 5.61 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10150+259

c143

name 名前Bob Backstrom
date 日付October 6, 2022 05:09:47 UTC 2022 年 10 月 6 日 (木) 14 時 9 分 47 秒 (日本時間)
composite number 合成数
11689568906598377040083526562168287281885233972957841835884787880221558870498118049856564553742122463441173311672562149406540678058558613635497<143>
prime factors 素因数
17644131316234970654960298160874367257250547<44>
662518811330904320563921253434873139664818334099838727982318400043278886811463782779545320909860851<99>
factorization results 素因数分解の結果
Number: n
N=11689568906598377040083526562168287281885233972957841835884787880221558870498118049856564553742122463441173311672562149406540678058558613635497  ( 143 digits)
SNFS difficulty: 150 digits.
Divisors found:

Thu Oct  6 16:04:03 2022  p44 factor: 17644131316234970654960298160874367257250547
Thu Oct  6 16:04:03 2022  p99 factor: 662518811330904320563921253434873139664818334099838727982318400043278886811463782779545320909860851
Thu Oct  6 16:04:03 2022  elapsed time 00:05:03 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 56x10^150+25 = 62(149)5
#
n: 11689568906598377040083526562168287281885233972957841835884787880221558870498118049856564553742122463441173311672562149406540678058558613635497
m: 20000000000000000000000000000000000000
deg: 4
c4: 14
c0: 1
skew: 0.52
# Murphy_E = 1.65e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1269558 hash collisions in 12999521 relations (13042649 unique)
Msieve: matrix is 291626 x 291855 (95.5 MB)

Sieving start time : 2022/10/06 15:35:52
Sieving end time  : 2022/10/06 15:58:43

Total sieving time: 0hrs 22min 51secs.

Total relation processing time: 0hrs 1min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,150,4,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10151+259

c132

name 名前Bob Backstrom
date 日付October 6, 2022 11:58:12 UTC 2022 年 10 月 6 日 (木) 20 時 58 分 12 秒 (日本時間)
composite number 合成数
436703996359126014770480869390072340721263184053628121779333166762200462500736251456311535757419997060600331360849076353107836274173<132>
prime factors 素因数
490351143502512823387226590737728064444127<42>
22179757081530499323341067205207388165160977<44>
40153479820295434920644068118492269414183932787<47>
factorization results 素因数分解の結果
Number: n
N=436703996359126014770480869390072340721263184053628121779333166762200462500736251456311535757419997060600331360849076353107836274173  ( 132 digits)
SNFS difficulty: 151 digits.
Divisors found:

Thu Oct  6 22:53:28 2022  found factor: 490351143502512823387226590737728064444127
Thu Oct  6 22:53:52 2022  p42 factor: 490351143502512823387226590737728064444127
Thu Oct  6 22:53:52 2022  p44 factor: 22179757081530499323341067205207388165160977
Thu Oct  6 22:53:52 2022  p47 factor: 40153479820295434920644068118492269414183932787
Thu Oct  6 22:53:52 2022  elapsed time 00:05:41 (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 = 56x10^151+25 = 62(150)5
#
n: 436703996359126014770480869390072340721263184053628121779333166762200462500736251456311535757419997060600331360849076353107836274173
m: 20000000000000000000000000000000000000
deg: 4
c4: 140
c0: 1
skew: 0.29
# Murphy_E = 1.403e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1457736 hash collisions in 14368768 relations (14331378 unique)
Msieve: matrix is 471275 x 471523 (70.9 MB)

Sieving start time : 2022/10/06 22:03:36
Sieving end time  : 2022/10/06 22:47:54

Total sieving time: 0hrs 44min 18secs.

Total relation processing time: 0hrs 1min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 36sec.

Prototype def-par.txt line would be:
snfs,151,4,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10156+259

c136

name 名前Ignacio Santos
date 日付October 10, 2022 11:50:49 UTC 2022 年 10 月 10 日 (月) 20 時 50 分 49 秒 (日本時間)
composite number 合成数
4860243483792697881246935970368915370323210503992476298944689323125414520139389582632289866552401569288129840709210514716917950378256581<136>
prime factors 素因数
974725840868689064840542788012722370797134382454268093515101<60>
4986267194333518535998055330311796973985077717505629251971256413635683193481<76>
factorization results 素因数分解の結果
Number: 1
N=4860243483792697881246935970368915370323210503992476298944689323125414520139389582632289866552401569288129840709210514716917950378256581
  ( 136 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=974725840868689064840542788012722370797134382454268093515101 (pp60)
 r2=4986267194333518535998055330311796973985077717505629251971256413635683193481 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.36 hours.
Scaled time: 104.43 units (timescale=7.819).
Factorization parameters were as follows:
n: 4860243483792697881246935970368915370323210503992476298944689323125414520139389582632289866552401569288129840709210514716917950378256581
m: 10000000000000000000000000000000
deg: 5
c5: 112
c0: 5
skew: 0.54
# Murphy_E = 7.812e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 474807 x 475032
Total sieving time: 13.25 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 13.36 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10159+259

c137

name 名前Ignacio Santos
date 日付October 13, 2022 14:25:18 UTC 2022 年 10 月 13 日 (木) 23 時 25 分 18 秒 (日本時間)
composite number 合成数
33528087053983449548474100300524456567173575142466314552570686869540866606605855058575322329232138619839784034412702913997861478610470301<137>
prime factors 素因数
11285907255205452137300818324938070112027<41>
2970792360403203925544957802400366155201986189651981750823391411680601976042696888842696444733863<97>
factorization results 素因数分解の結果
Number: 1
N=33528087053983449548474100300524456567173575142466314552570686869540866606605855058575322329232138619839784034412702913997861478610470301
  ( 137 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=11285907255205452137300818324938070112027 (pp41)
 r2=2970792360403203925544957802400366155201986189651981750823391411680601976042696888842696444733863 (pp97)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.06 hours.
Scaled time: 102.29 units (timescale=7.831).
Factorization parameters were as follows:
n: 33528087053983449548474100300524456567173575142466314552570686869540866606605855058575322329232138619839784034412702913997861478610470301
m: 20000000000000000000000000000000
deg: 5
c5: 700
c0: 1
skew: 0.27
# Murphy_E = 7.8e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 428851 x 429076
Total sieving time: 12.97 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,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 13.06 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10165+259

c163

name 名前Bob Backstrom
date 日付October 7, 2022 14:09:20 UTC 2022 年 10 月 7 日 (金) 23 時 9 分 20 秒 (日本時間)
composite number 合成数
2860791826309067688378033205619412515964240102171136653895274584929757343550446998722860791826309067688378033205619412515964240102171136653895274584929757343550447<163>
prime factors 素因数
1494652274742176081977315460876577501548186539411050513566138222419<67>
1914018313592402212183832271164307757670747626620748070550735091130777559436723135583624558961013<97>
factorization results 素因数分解の結果
Number: n
N=2860791826309067688378033205619412515964240102171136653895274584929757343550446998722860791826309067688378033205619412515964240102171136653895274584929757343550447  ( 163 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Oct  8 01:04:33 2022  p67 factor: 1494652274742176081977315460876577501548186539411050513566138222419
Sat Oct  8 01:04:33 2022  p97 factor: 1914018313592402212183832271164307757670747626620748070550735091130777559436723135583624558961013
Sat Oct  8 01:04:33 2022  elapsed time 00:08:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 56x10^165+25 = 62(164)5
#
n: 2860791826309067688378033205619412515964240102171136653895274584929757343550446998722860791826309067688378033205619412515964240102171136653895274584929757343550447
m: 1000000000000000000000000000000000
deg: 5
c5: 56
c0: 25
skew: 0.85
# Murphy_E = 3.388e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1140502 hash collisions in 12300425 relations (11930574 unique)
Msieve: matrix is 586176 x 586402 (201.4 MB)

Sieving start time : 2022/10/08 00:00:17
Sieving end time  : 2022/10/08 00:55:25

Total sieving time: 0hrs 55min 8secs.

Total relation processing time: 0hrs 5min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 35sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10166+259

c135

name 名前Ignacio Santos
date 日付October 15, 2022 11:02:41 UTC 2022 年 10 月 15 日 (土) 20 時 2 分 41 秒 (日本時間)
composite number 合成数
107853985644901815056849932446047741945298072002593649546300570664541411529091363457912761559024008786590004341986222965491867292425581<135>
prime factors 素因数
4104151596835047770315595019194045032123<40>
26279240203523270176813878642448654947787722980610609638461864585776176017911261291736914054647<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:160751189
Step 1 took 4843ms
Step 2 took 3297ms
********** Factor found in step 2: 4104151596835047770315595019194045032123
Found prime factor of 40 digits: 4104151596835047770315595019194045032123
Prime cofactor 26279240203523270176813878642448654947787722980610609638461864585776176017911261291736914054647 has 95 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10168+259

c118

name 名前Eric Jeancolas
date 日付October 7, 2022 05:05:00 UTC 2022 年 10 月 7 日 (金) 14 時 5 分 0 秒 (日本時間)
composite number 合成数
8596607202288494135027659083317622082018375159549611901391647747827802958717468543233895482323132043743034089128652361<118>
prime factors 素因数
85413675549796421126740394573061676066039855767430867<53>
100646730713240962770668678971193942600723669922231853941214551283<66>
factorization results 素因数分解の結果
8596607202288494135027659083317622082018375159549611901391647747827802958717468543233895482323132043743034089128652361=85413675549796421126740394573061676066039855767430867*100646730713240962770668678971193942600723669922231853941214551283

cado polynomial
n: 8596607202288494135027659083317622082018375159549611901391647747827802958717468543233895482323132043743034089128652361
skew: 37957.56
c0: -1367053549305244654945726800
c1: -68176409556276776832373
c2: -10464003773456680494
c3: 24110273338285
c4: 433970502
c5: 45360
Y0: -64682153762209301766434
Y1: 28801281525130081
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.942e-06
# f(x) = 45360*x^5+433970502*x^4+24110273338285*x^3-10464003773456680494*x^2-68176409556276776832373*x-1367053549305244654945726800
# g(x) = 28801281525130081*x-64682153762209301766434

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 85413675549796421126740394573061676066039855767430867 100646730713240962770668678971193942600723669922231853941214551283
Info:Square Root: Total cpu/real time for sqrt: 133.17/103.906
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 138.7/206.462
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 195.2s
Info:Square Root: Total cpu/real time for sqrt: 133.17/103.906
Info:Generate Free Relations: Total cpu/real time for freerel: 127.93/33.2923
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.86/99.7698
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.94/96.1733
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.9s
Info:Filtering - Merging: Merged matrix has 531606 rows and total weight 53352944 (100.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.18/34.3479
Info:Filtering - Merging: Total cpu/real time for replay: 13.94/16.1203
Info:Linear Algebra: Total cpu/real time for bwc: 2923.4/2765.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1520.8, WCT time 1452.62, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (16640 iterations)
Info:Linear Algebra: Lingen CPU time 485.06, WCT time 426.39
Info:Linear Algebra: Mksol: CPU time 886.4,  WCT time 856.38, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8320 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.94/1.36334
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13446148
Info:Lattice Sieving: Average J: 1887.23 for 182874 special-q, max bucket fill -bkmult 1.0,1s:1.246740
Info:Lattice Sieving: Total time: 47924.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1043.27
Info:Polynomial Selection (root optimized): Rootsieve time: 1040.81
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20125/34.860/42.071/49.700/1.039
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15894/32.990/37.234/42.600/0.813
Info:Polynomial Selection (size optimized): Total time: 2339.51
Info:Quadratic Characters: Total cpu/real time for characters: 16.15/13.6888
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 50444.1/28519.4
Info:root: Cleaning up computation data in /tmp/cado.1cmo0mzz
85413675549796421126740394573061676066039855767430867 100646730713240962770668678971193942600723669922231853941214551283
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10172+259

c131

name 名前Ignacio Santos
date 日付October 25, 2022 09:50:36 UTC 2022 年 10 月 25 日 (火) 18 時 50 分 36 秒 (日本時間)
composite number 合成数
69616397990085187828131968677095746417039236194820802526529811093073268309322651441138260977262518363097380974890500881833321106177<131>
prime factors 素因数
22402540155081729006975634649945934318667034114901001025461<59>
3107522517900435523115773307309289115632285395319678648099862192303340957<73>
factorization results 素因数分解の結果
Number: 1
N=69616397990085187828131968677095746417039236194820802526529811093073268309322651441138260977262518363097380974890500881833321106177
  ( 131 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=22402540155081729006975634649945934318667034114901001025461 (pp59)
 r2=3107522517900435523115773307309289115632285395319678648099862192303340957 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 30.14 hours.
Scaled time: 236.99 units (timescale=7.862).
Factorization parameters were as follows:
n: 69616397990085187828131968677095746417039236194820802526529811093073268309322651441138260977262518363097380974890500881833321106177
m: 20000000000000000000000000000000000
deg: 5
c5: 7
c0: 1
skew: 0.68
# Murphy_E = 2.727e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 4800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 925805 x 926030
Total sieving time: 29.91 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 30.14 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 15, 2022 10:31:52 UTC 2022 年 10 月 15 日 (土) 19 時 31 分 52 秒 (日本時間)

56×10180+259

c171

name 名前Bob Backstrom
date 日付October 9, 2022 15:16:48 UTC 2022 年 10 月 10 日 (月) 0 時 16 分 48 秒 (日本時間)
composite number 合成数
470235376101283194899491900158804553385461070223064037592518739397731292621886514133692874630135551462320349269492040782273923459824359206385090886450068111484466873630649<171>
prime factors 素因数
723157236776880683031924292516416968484197844461977731035973136917238919<72>
650253295116186835536095265745029528136290525297726687157899847789999445505688322589487309424564671<99>
factorization results 素因数分解の結果
Number: n
N=470235376101283194899491900158804553385461070223064037592518739397731292621886514133692874630135551462320349269492040782273923459824359206385090886450068111484466873630649  ( 171 digits)
SNFS difficulty: 181 digits.
Divisors found:

Mon Oct 10 02:12:07 2022  p72 factor: 723157236776880683031924292516416968484197844461977731035973136917238919
Mon Oct 10 02:12:07 2022  p99 factor: 650253295116186835536095265745029528136290525297726687157899847789999445505688322589487309424564671
Mon Oct 10 02:12:07 2022  elapsed time 00:30:27 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 56x10^180+25 = 62(179)5
#
n: 470235376101283194899491900158804553385461070223064037592518739397731292621886514133692874630135551462320349269492040782273923459824359206385090886450068111484466873630649
m: 1000000000000000000000000000000000000
deg: 5
c5: 56
c0: 25
skew: 0.85
# Murphy_E = 8.532e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1008677 hash collisions in 11495510 relations (11216520 unique)
Msieve: matrix is 1080538 x 1080763 (377.1 MB)

Sieving start time : 2022/10/09 23:43:53
Sieving end time  : 2022/10/10 01:41:23

Total sieving time: 1hrs 57min 30secs.

Total relation processing time: 0hrs 18min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 12sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10181+259

c158

name 名前Bob Backstrom
date 日付October 11, 2022 22:56:19 UTC 2022 年 10 月 12 日 (水) 7 時 56 分 19 秒 (日本時間)
composite number 合成数
28470305071262647856846059918093222367737797988892230695767879868658560148005854811817711191847015462816824515142263465166707846848760984699318091937491748363<158>
prime factors 素因数
12813963514529522427121639516793756899435028985076625732733465449319917<71>
2221818802510299154260282034691973765291989401525533149159622618194210760546668975514839<88>
factorization results 素因数分解の結果
Number: n
N=28470305071262647856846059918093222367737797988892230695767879868658560148005854811817711191847015462816824515142263465166707846848760984699318091937491748363  ( 158 digits)
SNFS difficulty: 182 digits.
Divisors found:

Wed Oct 12 09:00:34 2022  p71 factor: 12813963514529522427121639516793756899435028985076625732733465449319917
Wed Oct 12 09:00:34 2022  p88 factor: 2221818802510299154260282034691973765291989401525533149159622618194210760546668975514839
Wed Oct 12 09:00:34 2022  elapsed time 00:17:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 56x10^181+25 = 62(180)5
#
n: 28470305071262647856846059918093222367737797988892230695767879868658560148005854811817711191847015462816824515142263465166707846848760984699318091937491748363
m: 1000000000000000000000000000000000000
deg: 5
c5: 112
c0: 5
skew: 0.54
# Murphy_E = 8.017e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1523087 hash collisions in 13815490 relations (13120563 unique)
Msieve: matrix is 930411 x 930638 (322.1 MB)

Sieving start time : 2022/10/12 06:11:57
Sieving end time  : 2022/10/12 08:42:10

Total sieving time: 2hrs 30min 13secs.

Total relation processing time: 0hrs 13min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10185+259

c144

name 名前Bob Backstrom
date 日付October 15, 2022 09:52:04 UTC 2022 年 10 月 15 日 (土) 18 時 52 分 4 秒 (日本時間)
composite number 合成数
237114580316194111367889002019268866634255959289454531978478971769672635044466578785101468329188684363652705557319486409565658046265970540463047<144>
prime factors 素因数
113101083157538246368850542168926959979053047530247619<54>
2096483726737769093836072266149440722509939840609478428480047602261712952841129429607876013<91>
factorization results 素因数分解の結果
Number: n
N=237114580316194111367889002019268866634255959289454531978478971769672635044466578785101468329188684363652705557319486409565658046265970540463047  ( 144 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sat Oct 15 20:39:45 2022  p54 factor: 113101083157538246368850542168926959979053047530247619
Sat Oct 15 20:39:45 2022  p91 factor: 2096483726737769093836072266149440722509939840609478428480047602261712952841129429607876013
Sat Oct 15 20:39:45 2022  elapsed time 00:22:55 (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 = 56x10^185+25 = 62(184)5
#
n: 237114580316194111367889002019268866634255959289454531978478971769672635044466578785101468329188684363652705557319486409565658046265970540463047
m: 10000000000000000000000000000000000000
deg: 5
c5: 56
c0: 25
skew: 0.85
# Murphy_E = 5.34e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1989785 hash collisions in 16210375 relations (15184001 unique)
Msieve: matrix is 1027685 x 1027910 (355.4 MB)

Sieving start time : 2022/10/15 17:02:11
Sieving end time  : 2022/10/15 20:16:26

Total sieving time: 3hrs 14min 15secs.

Total relation processing time: 0hrs 17min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 12, 2022 10:46:17 UTC 2022 年 10 月 12 日 (水) 19 時 46 分 17 秒 (日本時間)

56×10187+259

c108

name 名前Eric Jeancolas
date 日付October 6, 2022 09:48:23 UTC 2022 年 10 月 6 日 (木) 18 時 48 分 23 秒 (日本時間)
composite number 合成数
220276973047407951529589653920910516989016066786610387873765351755210124741482904892858645815253607782152459<108>
prime factors 素因数
25464309547897888242476210075185853537<38>
8650420017596436309269507463184104342105292596551861034031646028752107<70>
factorization results 素因数分解の結果
220276973047407951529589653920910516989016066786610387873765351755210124741482904892858645815253607782152459=25464309547897888242476210075185853537*8650420017596436309269507463184104342105292596551861034031646028752107

cado polynomial
n: 220276973047407951529589653920910516989016066786610387873765351755210124741482904892858645815253607782152459
skew: 36700.855
c0: -107373067405171360252265624
c1: 1258566377331151393639
c2: -382600328758423360
c3: 5585786405453
c4: 229041012
c5: 2160
Y0: -905376103895057157470
Y1: 49650139132079
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 2.085e-06
# f(x) = 2160*x^5+229041012*x^4+5585786405453*x^3-382600328758423360*x^2+1258566377331151393639*x-107373067405171360252265624
# g(x) = 49650139132079*x-905376103895057157470

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: 8650420017596436309269507463184104342105292596551861034031646028752107 25464309547897888242476210075185853537
Info:Square Root: Total cpu/real time for sqrt: 76.07/22.6531
Info:Filtering - Singleton removal: Total cpu/real time for purge: 40.33/44.7433
Info:Filtering - Merging: Merged matrix has 276165 rows and total weight 43060307 (155.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.15/12.8622
Info:Filtering - Merging: Total cpu/real time for replay: 9.33/7.56321
Info:Generate Factor Base: Total cpu/real time for makefb: 2.34/0.646005
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4789361
Info:Lattice Sieving: Average J: 1915.66 for 56519 special-q, max bucket fill -bkmult 1.0,1s:1.310870
Info:Lattice Sieving: Total time: 5913.06s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 251.32
Info:Polynomial Selection (root optimized): Rootsieve time: 250.4
Info:Linear Algebra: Total cpu/real time for bwc: 931.35/246.27
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 555.92, WCT time 145.31, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Linear Algebra: Lingen CPU time 43.86, WCT time 11.24
Info:Linear Algebra: Mksol: CPU time 309.87,  WCT time 80.93, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations)
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): 12852/30.840/38.033/43.230/1.016
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10019/29.880/33.590/38.510/0.847
Info:Polynomial Selection (size optimized): Total time: 734.48
Info:Generate Free Relations: Total cpu/real time for freerel: 62.22/16.383
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 61.76/64.1171
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 46.300000000000004s
Info:Square Root: Total cpu/real time for sqrt: 76.07/22.6531
Info:Quadratic Characters: Total cpu/real time for characters: 10.46/4.04874
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.08/19.2263
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12754.9/3654.3
Info:root: Cleaning up computation data in /tmp/cado.4ok1riv3
8650420017596436309269507463184104342105292596551861034031646028752107 25464309547897888242476210075185853537
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10188+259

c183

name 名前Bob Backstrom
date 日付October 18, 2022 15:20:54 UTC 2022 年 10 月 19 日 (水) 0 時 20 分 54 秒 (日本時間)
composite number 合成数
194722837250826485435340282504587722203532307039665215807669471892540811385722469537611498383539661303964956843681895904996118582730692230993442882315254534912326911826195958979548017<183>
prime factors 素因数
1271099338442744782062899243745256480862411822317956906195053571032819<70>
153192462116600773638233870580843995924946992478971297256254185560939321120122606468778762822937207297887546367243<114>
factorization results 素因数分解の結果
Number: n
N=194722837250826485435340282504587722203532307039665215807669471892540811385722469537611498383539661303964956843681895904996118582730692230993442882315254534912326911826195958979548017  ( 183 digits)
SNFS difficulty: 188 digits.
Divisors found:

Wed Oct 19 01:08:13 2022  p70 factor: 1271099338442744782062899243745256480862411822317956906195053571032819
Wed Oct 19 01:08:13 2022  p114 factor: 153192462116600773638233870580843995924946992478971297256254185560939321120122606468778762822937207297887546367243
Wed Oct 19 01:08:13 2022  elapsed time 00:23:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 56x10^188+25 = 62(187)5
#
n: 194722837250826485435340282504587722203532307039665215807669471892540811385722469537611498383539661303964956843681895904996118582730692230993442882315254534912326911826195958979548017
m: 20000000000000000000000000000000000000
deg: 5
c5: 70
c0: 1
skew: 0.43
# Murphy_E = 4.844e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2203254 hash collisions in 18629738 relations (17131364 unique)
Msieve: matrix is 1035055 x 1035281 (356.4 MB)

Sieving start time : 2022/10/18 19:56:24
Sieving end time  : 2022/10/19 00:44:03

Total sieving time: 4hrs 47min 39secs.

Total relation processing time: 0hrs 17min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 4sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9600000,9600000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 10, 2022 15:06:01 UTC 2022 年 10 月 11 日 (火) 0 時 6 分 1 秒 (日本時間)

56×10189+259

c138

name 名前Ignacio Santos
date 日付October 11, 2022 15:27:51 UTC 2022 年 10 月 12 日 (水) 0 時 27 分 51 秒 (日本時間)
composite number 合成数
935449770658286076192287731505974225969631635495109780024208892981494300892773012530491949174981980647972244018904077802832371148384651149<138>
prime factors 素因数
39376488604547956309511003507613491<35>
23756556356582854262381156103267138226417704444629729401403636256831172522705793805545045182351174975039<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2211588839
Step 1 took 5907ms
Step 2 took 3421ms
********** Factor found in step 2: 39376488604547956309511003507613491
Found prime factor of 35 digits: 39376488604547956309511003507613491
Prime cofactor 23756556356582854262381156103267138226417704444629729401403636256831172522705793805545045182351174975039 has 104 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10190+259

c183

name 名前Bob Backstrom
date 日付October 18, 2022 09:02:27 UTC 2022 年 10 月 18 日 (火) 18 時 2 分 27 秒 (日本時間)
composite number 合成数
372889650582587641428180013344455433036335050074002781124212688865486733942951312713900698587119449256635325790940982205655933620714725916701346236513817367738329881523802237241351711<183>
prime factors 素因数
73913436319130960693730848174459085492783684361093<50>
648914055675526896703322806626506829402954762007825709<54>
7774451436158972708347534336470237279882795569315134406795621229134647950648703<79>
factorization results 素因数分解の結果
Number: n
N=372889650582587641428180013344455433036335050074002781124212688865486733942951312713900698587119449256635325790940982205655933620714725916701346236513817367738329881523802237241351711  ( 183 digits)
SNFS difficulty: 191 digits.
Divisors found:

Tue Oct 18 14:58:30 2022  found factor: 7774451436158972708347534336470237279882795569315134406795621229134647950648703
Tue Oct 18 15:00:14 2022  p50 factor: 73913436319130960693730848174459085492783684361093
Tue Oct 18 15:00:14 2022  p54 factor: 648914055675526896703322806626506829402954762007825709
Tue Oct 18 15:00:14 2022  p79 factor: 7774451436158972708347534336470237279882795569315134406795621229134647950648703
Tue Oct 18 15:00:14 2022  elapsed time 00:47:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 56x10^190+25 = 62(189)5
#
n: 372889650582587641428180013344455433036335050074002781124212688865486733942951312713900698587119449256635325790940982205655933620714725916701346236513817367738329881523802237241351711
m: 100000000000000000000000000000000000000
deg: 5
c5: 56
c0: 25
skew: 0.85
# Murphy_E = 3.328e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 25500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1582948 hash collisions in 13818484 relations (13047075 unique)
Msieve: matrix is 1459085 x 1459310 (507.7 MB)

Sieving start time : 2022/10/18 06:43:07
Sieving end time  : 2022/10/18 14:11:53

Total sieving time: 7hrs 28min 46secs.

Total relation processing time: 0hrs 39min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 29sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 14, 2022 08:12:46 UTC 2022 年 10 月 14 日 (金) 17 時 12 分 46 秒 (日本時間)

56×10191+259

c130

name 名前Ignacio Santos
date 日付October 14, 2022 14:24:24 UTC 2022 年 10 月 14 日 (金) 23 時 24 分 24 秒 (日本時間)
composite number 合成数
1728817959125001146750415209785731489554666153703012109614754692746718132360862163577598969121919965627681325138231384306273634847<130>
prime factors 素因数
238781906085137029622590646270118427308341920871030036677<57>
7240154781696883995175690922102245157470944819864209679830570451920248211<73>
factorization results 素因数分解の結果
10/14/22 13:33:54, nfs: commencing nfs on c130: 1728817959125001146750415209785731489554666153703012109614754692746718132360862163577598969121919965627681325138231384306273634847
10/14/22 13:33:54, nfs: commencing poly selection with 46 threads
10/14/22 13:33:54, nfs: setting deadline of 1141 seconds
10/14/22 13:33:54, nfs: expecting degree 5 poly E from 7.23e-11 to > 8.31e-11
10/14/22 13:33:54, nfs: searching for avg quality poly E > 7.49e-11
10/14/22 13:37:15, nfs: completed 60 ranges of size 250 in 200.9202 seconds
10/14/22 13:37:15, nfs: best poly = # norm 2.234621e-12 alpha -6.107568 e 8.763e-11 rroots 5
10/14/22 13:37:15, nfs: commencing lattice sieving with 46 threads
10/14/22 13:39:47, nfs: commencing lattice sieving with 46 threads
10/14/22 13:42:29, nfs: commencing lattice sieving with 46 threads
10/14/22 13:44:51, nfs: commencing lattice sieving with 46 threads
10/14/22 13:47:15, nfs: commencing lattice sieving with 46 threads
10/14/22 13:49:51, nfs: commencing lattice sieving with 46 threads
10/14/22 13:52:25, nfs: commencing lattice sieving with 46 threads
10/14/22 13:55:08, nfs: commencing lattice sieving with 46 threads
10/14/22 13:57:30, nfs: commencing lattice sieving with 46 threads
10/14/22 13:59:58, nfs: commencing lattice sieving with 46 threads
10/14/22 14:02:21, nfs: commencing lattice sieving with 46 threads
10/14/22 14:04:49, nfs: commencing lattice sieving with 46 threads
10/14/22 14:07:24, nfs: commencing lattice sieving with 46 threads
10/14/22 14:10:09, nfs: commencing lattice sieving with 46 threads
10/14/22 14:12:37, nfs: commencing lattice sieving with 46 threads
10/14/22 14:15:16, nfs: commencing lattice sieving with 46 threads
10/14/22 14:17:50, nfs: commencing lattice sieving with 46 threads
10/14/22 14:20:14, nfs: commencing lattice sieving with 46 threads
10/14/22 14:22:44, nfs: commencing lattice sieving with 46 threads
10/14/22 14:25:16, nfs: commencing lattice sieving with 46 threads
10/14/22 14:27:51, nfs: commencing lattice sieving with 46 threads
10/14/22 14:30:27, nfs: commencing lattice sieving with 46 threads
10/14/22 14:33:01, nfs: commencing lattice sieving with 46 threads
10/14/22 14:35:36, nfs: commencing lattice sieving with 46 threads
10/14/22 14:38:06, nfs: commencing lattice sieving with 46 threads
10/14/22 14:40:39, nfs: commencing lattice sieving with 46 threads
10/14/22 14:43:13, nfs: commencing lattice sieving with 46 threads
10/14/22 14:45:44, nfs: commencing lattice sieving with 46 threads
10/14/22 14:48:14, nfs: commencing lattice sieving with 46 threads
10/14/22 14:50:53, nfs: commencing lattice sieving with 46 threads
10/14/22 14:53:30, nfs: commencing lattice sieving with 46 threads
10/14/22 14:56:09, nfs: commencing lattice sieving with 46 threads
10/14/22 14:58:43, nfs: commencing lattice sieving with 46 threads
10/14/22 15:01:18, nfs: commencing lattice sieving with 46 threads
10/14/22 15:03:44, nfs: commencing lattice sieving with 46 threads
10/14/22 15:06:10, nfs: commencing lattice sieving with 46 threads
10/14/22 15:08:39, nfs: commencing lattice sieving with 46 threads
10/14/22 15:11:16, nfs: commencing lattice sieving with 46 threads
10/14/22 15:13:54, nfs: commencing lattice sieving with 46 threads
10/14/22 15:16:32, nfs: commencing lattice sieving with 46 threads
10/14/22 15:19:08, nfs: commencing lattice sieving with 46 threads
10/14/22 15:21:40, nfs: commencing lattice sieving with 46 threads
10/14/22 15:24:26, nfs: commencing lattice sieving with 46 threads
10/14/22 15:27:05, nfs: commencing lattice sieving with 46 threads
10/14/22 15:29:39, nfs: commencing lattice sieving with 46 threads
10/14/22 15:32:19, nfs: commencing lattice sieving with 46 threads
10/14/22 15:34:55, nfs: commencing lattice sieving with 46 threads
10/14/22 15:37:32, nfs: commencing lattice sieving with 46 threads
10/14/22 15:40:08, nfs: commencing lattice sieving with 46 threads
10/14/22 15:42:45, nfs: commencing lattice sieving with 46 threads
10/14/22 15:45:30, nfs: commencing lattice sieving with 46 threads
10/14/22 15:48:10, nfs: commencing lattice sieving with 46 threads
10/14/22 15:50:55, nfs: commencing lattice sieving with 46 threads
10/14/22 15:53:54, nfs: commencing lattice sieving with 46 threads
10/14/22 15:56:59, nfs: commencing lattice sieving with 46 threads
10/14/22 15:59:56, nfs: commencing msieve filtering
10/14/22 16:05:09, nfs: commencing msieve linear algebra
10/14/22 16:19:50, nfs: commencing msieve sqrt
10/14/22 16:24:02, prp57 = 238781906085137029622590646270118427308341920871030036677
10/14/22 16:24:02, prp73 = 7240154781696883995175690922102245157470944819864209679830570451920248211
10/14/22 16:24:03, NFS elapsed time = 10208.3275 seconds.
10/14/22 16:24:03, 
10/14/22 16:24:03, 
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 8, 2022 09:46:23 UTC 2022 年 10 月 8 日 (土) 18 時 46 分 23 秒 (日本時間)
4511e64480Ignacio SantosOctober 13, 2022 15:36:07 UTC 2022 年 10 月 14 日 (金) 0 時 36 分 7 秒 (日本時間)

56×10194+259

c160

name 名前Bob Backstrom
date 日付October 20, 2022 19:56:50 UTC 2022 年 10 月 21 日 (金) 4 時 56 分 50 秒 (日本時間)
composite number 合成数
4031191912700100711036631293218049221044197605793065615322751628428400565096947456046693109997826224111336299258113294044704530480996105674166724186170790703641<160>
prime factors 素因数
5225861552333792391814150846234833685281840491<46>
771392788027426806061847662758975934547198262412743102979616418236060611902259074530634304132782493290259604384651<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 4031191912700100711036631293218049221044197605793065615322751628428400565096947456046693109997826224111336299258113294044704530480996105674166724186170790703641 (160 digits)
Using B1=42280000, B2=192395843656, polynomial Dickson(12), sigma=1:2631201430
Step 1 took 100961ms
Step 2 took 30053ms
********** Factor found in step 2: 5225861552333792391814150846234833685281840491
Found prime factor of 46 digits: 5225861552333792391814150846234833685281840491
Prime cofactor 771392788027426806061847662758975934547198262412743102979616418236060611902259074530634304132782493290259604384651 has 114 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 17, 2022 10:31:52 UTC 2022 年 10 月 17 日 (月) 19 時 31 分 52 秒 (日本時間)

56×10195+259

c154

name 名前Ignacio Santos
date 日付October 19, 2022 10:25:38 UTC 2022 年 10 月 19 日 (水) 19 時 25 分 38 秒 (日本時間)
composite number 合成数
2114526519855117647015842335931531185368401838887024803366603053588240018546023668806865120962431009981088458547864587933946619625741733254181840437092613<154>
prime factors 素因数
6476516876042932853048894836786740731<37>
composite cofactor 合成数の残り
326491316293313777093859185527155266518627081461304773041209398641963761028695761384873967374200183021688024594541823<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1572024749
Step 1 took 5797ms
Step 2 took 3609ms
********** Factor found in step 2: 6476516876042932853048894836786740731
Found prime factor of 37 digits: 6476516876042932853048894836786740731
Composite cofactor 326491316293313777093859185527155266518627081461304773041209398641963761028695761384873967374200183021688024594541823 has 117 digits
software ソフトウェア
GMP-ECM

c117

name 名前Eric Jeancolas
date 日付October 21, 2022 02:50:10 UTC 2022 年 10 月 21 日 (金) 11 時 50 分 10 秒 (日本時間)
composite number 合成数
326491316293313777093859185527155266518627081461304773041209398641963761028695761384873967374200183021688024594541823<117>
prime factors 素因数
144108674382474671137122049225755689391503<42>
2265591004097245408493198089645922193176824487648214645132488575921269463441<76>
factorization results 素因数分解の結果
326491316293313777093859185527155266518627081461304773041209398641963761028695761384873967374200183021688024594541823=144108674382474671137122049225755689391503*2265591004097245408493198089645922193176824487648214645132488575921269463441

cado polynomial
n: 326491316293313777093859185527155266518627081461304773041209398641963761028695761384873967374200183021688024594541823
skew: 86985.035
c0: -3352851947596329361118998279
c1: -170575267028523346866517
c2: 10729254586389726265
c3: 58915605568561
c4: -664608210
c5: 900
Y0: -64376212591071079422826
Y1: 1372115748440707
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.456e-07
# f(x) = 900*x^5-664608210*x^4+58915605568561*x^3+10729254586389726265*x^2-170575267028523346866517*x-3352851947596329361118998279
# g(x) = 1372115748440707*x-64376212591071079422826

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: 144108674382474671137122049225755689391503 2265591004097245408493198089645922193176824487648214645132488575921269463441
Info:Square Root: Total cpu/real time for sqrt: 232.81/69.0311
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 390.65
Info:Polynomial Selection (root optimized): Rootsieve time: 389.54
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/1.18391
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): 21822/33.260/41.621/47.550/1.074
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17368/32.810/36.844/42.040/0.841
Info:Polynomial Selection (size optimized): Total time: 1763.3
Info:Quadratic Characters: Total cpu/real time for characters: 15.51/6.16765
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.45/132.321
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.5s
Info:Square Root: Total cpu/real time for sqrt: 232.81/69.0311
Info:Generate Free Relations: Total cpu/real time for freerel: 63.44/16.804
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.2/31.1212
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 101.38/113.282
Info:Filtering - Merging: Merged matrix has 436598 rows and total weight 67856867 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.03/20.2938
Info:Filtering - Merging: Total cpu/real time for replay: 14.38/11.7806
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7328378
Info:Lattice Sieving: Average J: 1920.24 for 163681 special-q, max bucket fill -bkmult 1.0,1s:1.271120
Info:Lattice Sieving: Total time: 18374.3s
Info:Linear Algebra: Total cpu/real time for bwc: 2531.44/652.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1563.27, WCT time 399.87, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13696 iterations)
Info:Linear Algebra: Lingen CPU time 68.71, WCT time 17.51
Info:Linear Algebra: Mksol: CPU time 862.16,  WCT time 220.17, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 39122/10724.3
Info:root: Cleaning up computation data in /tmp/cado.pf8cxecu
144108674382474671137122049225755689391503 2265591004097245408493198089645922193176824487648214645132488575921269463441
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10196+259

c196

name 名前Bob Backstrom
date 日付October 21, 2022 15:37:06 UTC 2022 年 10 月 22 日 (土) 0 時 37 分 6 秒 (日本時間)
composite number 合成数
2488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<196>
prime factors 素因数
11462280305245861279083420438254893280240672556876848836296793235782773318034829436457<86>
217137325436878087960895065335458045191046471491632305256560637303255658605853599396053817674321134556419148177<111>
factorization results 素因数分解の結果
Number: n
N=2488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 196 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Oct 22 02:25:55 2022  p86 factor: 11462280305245861279083420438254893280240672556876848836296793235782773318034829436457
Sat Oct 22 02:25:55 2022  p111 factor: 217137325436878087960895065335458045191046471491632305256560637303255658605853599396053817674321134556419148177
Sat Oct 22 02:25:55 2022  elapsed time 01:22:51 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 56x10^196+25 = 62(195)5
#
n: 2488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 1000000000000000000000000000000000000000
deg: 5
c5: 112
c0: 5
skew: 0.54
# Murphy_E = 1.938e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26770463)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1978785 hash collisions in 13817784 relations (12528897 unique)
Msieve: matrix is 1941583 x 1941808 (675.0 MB)

Sieving start time : 2022/10/21 17:13:43
Sieving end time  : 2022/10/22 01:02:43

Total sieving time: 7hrs 49min 0secs.

Total relation processing time: 1hrs 13min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 10sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10197+259

c197

name 名前Bob Backstrom
date 日付October 24, 2022 15:32:02 UTC 2022 年 10 月 25 日 (火) 0 時 32 分 2 秒 (日本時間)
composite number 合成数
24888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<197>
prime factors 素因数
2386215163803277262248791144374314810818086247313554008581840272832303868389570024462104929135401<97>
10430278571031980016740043875403574811601834978508589238249307394004792781575903222748517755815558289<101>
factorization results 素因数分解の結果
Number: n
N=24888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Oct 25 00:52:18 2022  p97 factor: 2386215163803277262248791144374314810818086247313554008581840272832303868389570024462104929135401
Tue Oct 25 00:52:18 2022  p101 factor: 10430278571031980016740043875403574811601834978508589238249307394004792781575903222748517755815558289
Tue Oct 25 00:52:18 2022  elapsed time 01:03:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 56x10^197+25 = 62(196)5
#
n: 24888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 2000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 1
skew: 0.68
# Murphy_E = 2.601e-11
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 19600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1705847 hash collisions in 13967256 relations (13051155 unique)
Msieve: matrix is 1720176 x 1720401 (598.5 MB)

Sieving start time : 2022/10/24 17:10:23
Sieving end time  : 2022/10/24 23:48:21

Total sieving time: 6hrs 37min 58secs.

Total relation processing time: 0hrs 56min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13600000,13600000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10199+259

c161

name 名前Bob Backstrom
date 日付October 25, 2022 15:08:01 UTC 2022 年 10 月 26 日 (水) 0 時 8 分 1 秒 (日本時間)
composite number 合成数
27081108957354475444101055347051117859925626722020764834366409899479012509329485806930506343058139947554225210218214490433821429452229129868601597829366923650919<161>
prime factors 素因数
1099226146818992544775044501996551<34>
24636521825580145670737390537878811089250637206503048734738002697590449587231256090625863599220832572212242852511785908072343969<128>
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 27081108957354475444101055347051117859925626722020764834366409899479012509329485806930506343058139947554225210218214490433821429452229129868601597829366923650919 (161 digits)
Using B1=15230000, B2=46847553490, polynomial Dickson(12), sigma=1:3757843652
Step 1 took 36137ms
Step 2 took 13858ms
********** Factor found in step 2: 1099226146818992544775044501996551
Found prime factor of 34 digits: 1099226146818992544775044501996551
Prime cofactor 24636521825580145670737390537878811089250637206503048734738002697590449587231256090625863599220832572212242852511785908072343969 has 128 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10200+259

c163

name 名前Bob Backstrom
date 日付November 12, 2022 16:06:13 UTC 2022 年 11 月 13 日 (日) 1 時 6 分 13 秒 (日本時間)
composite number 合成数
5471032639937161512143823435083574846847266439974533708440079523545619157726716745242507308994630090853995599801215277536122902553150538231821534985389456725101451<163>
prime factors 素因数
5842723101077237306052420643661503570479563097319422166404961<61>
936384036225925835083527204506589745325766284140420708173443270802400586864141221422578642217222250091<102>
factorization results 素因数分解の結果
Number: n
N=5471032639937161512143823435083574846847266439974533708440079523545619157726716745242507308994630090853995599801215277536122902553150538231821534985389456725101451  ( 163 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Nov 13 03:01:29 2022  p61 factor: 5842723101077237306052420643661503570479563097319422166404961
Sun Nov 13 03:01:29 2022  p102 factor: 936384036225925835083527204506589745325766284140420708173443270802400586864141221422578642217222250091
Sun Nov 13 03:01:29 2022  elapsed time 01:10:51 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 56x10^200+25 = 62(199)5
#
n: 5471032639937161512143823435083574846847266439974533708440079523545619157726716745242507308994630090853995599801215277536122902553150538231821534985389456725101451
m: 10000000000000000000000000000000000000000
deg: 5
c5: 56
c0: 25
skew: 0.85
# Murphy_E = 1.276e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 49650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4625606 hash collisions in 25079866 relations (20942672 unique)
Msieve: matrix is 1798716 x 1798941 (604.4 MB)

Sieving start time : 2022/11/12 05:59:16
Sieving end time  : 2022/11/13 01:50:06

Total sieving time: 19hrs 50min 50secs.

Total relation processing time: 1hrs 1min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 36sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,27,27,54,54,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 3, 2022 13:25:21 UTC 2022 年 11 月 3 日 (木) 22 時 25 分 21 秒 (日本時間)

56×10201+259

c161

name 名前Bob Backstrom
date 日付July 23, 2023 14:29:51 UTC 2023 年 7 月 23 日 (日) 23 時 29 分 51 秒 (日本時間)
composite number 合成数
66425801546406824544366959272287899122019470652525834011844082401378346830091238495881349684716391739212108123070418225292144509575452967932991077415597606454979<161>
prime factors 素因数
26795102883398557106758169100661325547179408227781<50>
2479027672909674136274472119474967777415249795543704690454795898188105858856055957722432062659176629631048073959<112>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 66425801546406824544366959272287899122019470652525834011844082401378346830091238495881349684716391739212108123070418225292144509575452967932991077415597606454979 (161 digits)
Using B1=52950000, B2=288594456166, polynomial Dickson(12), sigma=1:3435398292
Step 1 took 140113ms
Step 2 took 36264ms
********** Factor found in step 2: 26795102883398557106758169100661325547179408227781
Found prime factor of 50 digits: 26795102883398557106758169100661325547179408227781
Prime cofactor 2479027672909674136274472119474967777415249795543704690454795898188105858856055957722432062659176629631048073959 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 7, 2022 08:48:20 UTC 2022 年 11 月 7 日 (月) 17 時 48 分 20 秒 (日本時間)

56×10204+259

c200

name 名前Bob Backstrom
date 日付August 21, 2023 14:41:05 UTC 2023 年 8 月 21 日 (月) 23 時 41 分 5 秒 (日本時間)
composite number 合成数
54188741321334397755037859544717807291288676004547983646611994097297820354645958826233156736095991484626363790308924208336357258630282797493770713888284103829498996056801412777898734789655756344195273<200>
prime factors 素因数
582779407564365517044205097748057388825286115279890065263274646768552608439<75>
92983280840014033624384415066623692432829352256267186806307978923848273927922819773951167915619608085785368509354540633415807<125>
factorization results 素因数分解の結果
Number: n
N=54188741321334397755037859544717807291288676004547983646611994097297820354645958826233156736095991484626363790308924208336357258630282797493770713888284103829498996056801412777898734789655756344195273  ( 200 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue Aug 22 00:17:49 2023  prp75 factor: 582779407564365517044205097748057388825286115279890065263274646768552608439
Tue Aug 22 00:17:49 2023  prp125 factor: 92983280840014033624384415066623692432829352256267186806307978923848273927922819773951167915619608085785368509354540633415807
Tue Aug 22 00:17:49 2023  elapsed time 02:21:16 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
#
# N = 56x10^204+25 = 62(203)5
#
n: 54188741321334397755037859544717807291288676004547983646611994097297820354645958826233156736095991484626363790308924208336357258630282797493770713888284103829498996056801412777898734789655756344195273
m: 20000000000000000000000000000000000000000
deg: 5
c5: 700
c0: 1
skew: 0.27
# Murphy_E = 1.174e-11
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3128083 hash collisions in 18180554 relations (15843149 unique)
Msieve: matrix is 2134831 x 2135056 (604.2 MB)

Sieving start time: 2023/08/21 09:19:32
Sieving end time  : 2023/08/21 21:56:11

Total sieving time: 12hrs 36min 39secs.

Total relation processing time: 2hrs 13min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17800000,17800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:41:07 UTC 2022 年 10 月 24 日 (月) 4 時 41 分 7 秒 (日本時間)

56×10205+259

c180

name 名前Bob Backstrom
date 日付January 4, 2024 01:38:07 UTC 2024 年 1 月 4 日 (木) 10 時 38 分 7 秒 (日本時間)
composite number 合成数
199557910215194417088296066308015999315358386858623746832746124307310802457969767512253659120139008639896296522105001840882408781476393520791891190077496036172137997381752427580669<180>
prime factors 素因数
74465604624346252972729199367787337663930604311289208529251<59>
2679866916033200369896736594693820086779574083324232224619686042022285871237159236523380020782280636914185925698030949919<121>
factorization results 素因数分解の結果
Number: n
N=199557910215194417088296066308015999315358386858623746832746124307310802457969767512253659120139008639896296522105001840882408781476393520791891190077496036172137997381752427580669  ( 180 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Jan  4 12:27:57 2024  prp59 factor: 74465604624346252972729199367787337663930604311289208529251
Thu Jan  4 12:27:57 2024  prp121 factor: 2679866916033200369896736594693820086779574083324232224619686042022285871237159236523380020782280636914185925698030949919
Thu Jan  4 12:27:57 2024  elapsed time 02:56:43 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 56x10^205+25 = 62(204)5
#
n: 199557910215194417088296066308015999315358386858623746832746124307310802457969767512253659120139008639896296522105001840882408781476393520791891190077496036172137997381752427580669
m: 10000000000000000000000000000000000
deg: 6
c6: 112
c0: 5
skew: 0.60
# Murphy_E = 8.222e-12
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3375658 hash collisions in 19300854 relations (16597137 unique)
Msieve: matrix is 2360017 x 2360242 (665.5 MB)

Sieving start time: 2024/01/03 11:39:30
Sieving end time  : 2024/01/04 09:30:47

Total sieving time: 21hrs 51min 17secs.

Total relation processing time: 2hrs 47min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 26sec.

Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,19000000,19000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2023 07:45:25 UTC 2023 年 12 月 30 日 (土) 16 時 45 分 25 秒 (日本時間)
4511e64480Ignacio SantosDecember 30, 2023 11:03:56 UTC 2023 年 12 月 30 日 (土) 20 時 3 分 56 秒 (日本時間)

56×10206+259

c166

name 名前Bob Backstrom
date 日付March 26, 2024 14:01:23 UTC 2024 年 3 月 26 日 (火) 23 時 1 分 23 秒 (日本時間)
composite number 合成数
5119276482106348997267141590429749896067835457737400825179687322887184388805855488475106121116143395917118947302779125869552516241267633030339801421919389894714513881<166>
prime factors 素因数
97781393636663018430195583567025935547736099398990768464103039814911<68>
52354300667145352559258171517686277702649221051856102765743679016637399295829635475323418748543271<98>
factorization results 素因数分解の結果
Number: n
N=5119276482106348997267141590429749896067835457737400825179687322887184388805855488475106121116143395917118947302779125869552516241267633030339801421919389894714513881  ( 166 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Mar 27 00:55:24 2024  prp68 factor: 97781393636663018430195583567025935547736099398990768464103039814911
Wed Mar 27 00:55:24 2024  prp98 factor: 52354300667145352559258171517686277702649221051856102765743679016637399295829635475323418748543271
Wed Mar 27 00:55:24 2024  elapsed time 03:43:24 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.104).
Factorization parameters were as follows:
#
# N = 56x10^206+25 = 62(205)5
#
n: 5119276482106348997267141590429749896067835457737400825179687322887184388805855488475106121116143395917118947302779125869552516241267633030339801421919389894714513881
m: 20000000000000000000000000000000000
deg: 6
c6: 7
c0: 2
skew: 0.81
# Murphy_E = 7.744e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 78550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3723064 hash collisions in 19631355 relations (16893766 unique)
Msieve: matrix is 2629186 x 2629411 (737.3 MB)

Sieving start time: 2024/03/25 10:47:47
Sieving end time  : 2024/03/26 21:11:35

Total sieving time: 34hrs 23min 48secs.

Total relation processing time: 3hrs 34min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 30sec.

Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62400dddOctober 29, 2023 19:40:27 UTC 2023 年 10 月 30 日 (月) 4 時 40 分 27 秒 (日本時間)
4511e64800dddNovember 5, 2023 23:35:03 UTC 2023 年 11 月 6 日 (月) 8 時 35 分 3 秒 (日本時間)

56×10207+259

c205

name 名前Bob Backstrom
date 日付June 22, 2024 03:06:46 UTC 2024 年 6 月 22 日 (土) 12 時 6 分 46 秒 (日本時間)
composite number 合成数
1626724763979665940450254175744371822803195352214960058097312999273783587509077705156136528685548293391430646332607116920842411038489469862018881626724763979665940450254175744371822803195352214960058097313<205>
prime factors 素因数
9663663743397175006271590332815316237049683309023<49>
168334164678603078494792270439446950314418790863925926604020068751019188023296015290115047060603417457271310211276145120243514636890413839999327325158031231<156>
factorization results 素因数分解の結果
Number: n
N=1626724763979665940450254175744371822803195352214960058097312999273783587509077705156136528685548293391430646332607116920842411038489469862018881626724763979665940450254175744371822803195352214960058097313  ( 205 digits)
SNFS difficulty: 207 digits.
Divisors found:

Fri Jun 21 12:51:37 2024  prp49 factor: 9663663743397175006271590332815316237049683309023
Fri Jun 21 12:51:37 2024  prp156 factor: 168334164678603078494792270439446950314418790863925926604020068751019188023296015290115047060603417457271310211276145120243514636890413839999327325158031231
Fri Jun 21 12:51:37 2024  elapsed time 02:57:24 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.947).
Factorization parameters were as follows:
#
# N = 56x10^207+25 = 62(206)5
#
n: 1626724763979665940450254175744371822803195352214960058097312999273783587509077705156136528685548293391430646332607116920842411038489469862018881626724763979665940450254175744371822803195352214960058097313
m: 200000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 1
skew: 0.68
# Murphy_E = 9.866e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 64400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4119310 hash collisions in 23456797 relations (19851697 unique)
Msieve: matrix is 2344618 x 2344843 (648.0 MB)

Sieving start time: 2024/06/20 06:11:24
Sieving end time  : 2024/06/21 09:53:43

Total sieving time: 27hrs 42min 19secs.

Total relation processing time: 2hrs 45min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 25sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e625001792Dmitry DomanovOctober 23, 2022 19:41:21 UTC 2022 年 10 月 24 日 (月) 4 時 41 分 21 秒 (日本時間)
708cccJune 16, 2024 15:16:07 UTC 2024 年 6 月 17 日 (月) 0 時 16 分 7 秒 (日本時間)

56×10210+259

c195

name 名前anonymous
date 日付March 18, 2024 04:00:23 UTC 2024 年 3 月 18 日 (月) 13 時 0 分 23 秒 (日本時間)
composite number 合成数
320030209717253503246128057686392110798381881202897341694698342277893860838350953833765891042853145302786838539796223021111659992707340804113793192255994474197523611832624279862465716465946340467<195>
prime factors 素因数
1165786505876319910123582653430132747<37>
composite cofactor 合成数の残り
274518711705868726346939037635707546744452952016449863026870772171939929266520357780976231523064033405396015985299107605189505926208102522957434360657991560761<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:15767720267257966106
Step 1 took 22375ms
Step 2 took 8094ms
********** Factor found in step 2: 1165786505876319910123582653430132747
Found prime factor of 37 digits: 1165786505876319910123582653430132747
Composite cofactor 274518711705868726346939037635707546744452952016449863026870772171939929266520357780976231523064033405396015985299107605189505926208102522957434360657991560761 has 159 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500dddMarch 18, 2024 04:00:14 UTC 2024 年 3 月 18 日 (月) 13 時 0 分 14 秒 (日本時間)
4511e65000dddJune 5, 2024 15:03:05 UTC 2024 年 6 月 6 日 (木) 0 時 3 分 5 秒 (日本時間)
5043e612288dddJune 7, 2024 15:26:46 UTC 2024 年 6 月 8 日 (土) 0 時 26 分 46 秒 (日本時間)

56×10211+259

c195

composite cofactor 合成数の残り
138167861465156428153056275231531535133208307004242844891619115700831511130314974627511408093472904675795619269471955397256040761644445740461023114072629244830101505849066032714144022586833667987<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62400dddNovember 6, 2023 02:28:24 UTC 2023 年 11 月 6 日 (月) 11 時 28 分 24 秒 (日本時間)

56×10214+259

c205

name 名前anonymous
date 日付June 23, 2024 01:30:46 UTC 2024 年 6 月 23 日 (日) 10 時 30 分 46 秒 (日本時間)
composite number 合成数
1627208567119791012379223012952093993070869817411568123293949954259497705002870849569430635591143748870191952992481778982110869349978472840629126744623624130803670332893459121788790674219203842441842827211<205>
prime factors 素因数
33466941865557590676192868309586811309559<41>
composite cofactor 合成数の残り
48621370116712938860522962366304728923110668721294929140337393118832085989278498552552878515125361006250138703636321148906109596772108632055264142018902212159150029<164>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:17950521346965851894
Step 1 took 58391ms
Step 2 took 19000ms
********** Factor found in step 2: 33466941865557590676192868309586811309559
Found prime factor of 41 digits: 33466941865557590676192868309586811309559
Composite cofactor 48621370116712938860522962366304728923110668721294929140337393118832085989278498552552878515125361006250138703636321148906109596772108632055264142018902212159150029 has 164 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e625001792Dmitry DomanovOctober 23, 2022 19:41:27 UTC 2022 年 10 月 24 日 (月) 4 時 41 分 27 秒 (日本時間)
708cccJune 16, 2024 16:04:23 UTC 2024 年 6 月 17 日 (月) 1 時 4 分 23 秒 (日本時間)
4511e65000cccJune 27, 2024 10:13:30 UTC 2024 年 6 月 27 日 (木) 19 時 13 分 30 秒 (日本時間)

56×10217+259

c176

composite cofactor 合成数の残り
32026664536903747491560779063455818201001216006563675006519348038018724026178801585572770009843318468308292597570481721884247355750169524719189838905843415698211364218326347667<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500dddNovember 2, 2023 03:58:52 UTC 2023 年 11 月 2 日 (木) 12 時 58 分 52 秒 (日本時間)
4511e65000cccJune 15, 2024 07:18:31 UTC 2024 年 6 月 15 日 (土) 16 時 18 分 31 秒 (日本時間)

56×10218+259

c155

name 名前anonymous
date 日付June 8, 2024 10:00:01 UTC 2024 年 6 月 8 日 (土) 19 時 0 分 1 秒 (日本時間)
composite number 合成数
24595495381970940402552607379490934682335285801364499479456394615434482082203310992731223047606890869718070182899635435678171116795266116107630644459802923<155>
prime factors 素因数
3385183618231822957039376569931073226515353<43>
3752230174445894337731182764255477250216493461709<49>
1936350054240831525712666280802133244680320999507576710830415599<64>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:12258786332759819018
Step 1 took 54485ms
Step 2 took 16812ms
********** Factor found in step 2: 3385183618231822957039376569931073226515353
Found prime factor of 43 digits: 3385183618231822957039376569931073226515353
Composite cofactor 7265631101812392238680978669530523571981478472912446712525063618191283300801736930445257596091167495074662798691 has 112 digits

Sat Jun 08 17:44:39 2024  
Sat Jun 08 17:44:39 2024  
Sat Jun 08 17:44:39 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Jun 08 17:44:39 2024  random seeds: 25f49948 179f5620
Sat Jun 08 17:44:39 2024  factoring 7265631101812392238680978669530523571981478472912446712525063618191283300801736930445257596091167495074662798691 (112 digits)
Sat Jun 08 17:44:39 2024  searching for 15-digit factors
Sat Jun 08 17:44:40 2024  commencing number field sieve (112-digit input)
Sat Jun 08 17:44:40 2024  R0: -6694763454679966700480
Sat Jun 08 17:44:40 2024  R1: 5753176986829
Sat Jun 08 17:44:40 2024  A0: 295695688533886740267234879
Sat Jun 08 17:44:40 2024  A1: 9264573604309648562759
Sat Jun 08 17:44:40 2024  A2: -575066902666855292
Sat Jun 08 17:44:40 2024  A3: -11827172121729
Sat Jun 08 17:44:40 2024  A4: 294377643
Sat Jun 08 17:44:40 2024  A5: 540
Sat Jun 08 17:44:40 2024  skew 51241.69, size 1.101e-010, alpha -5.046, combined = 8.208e-010 rroots = 5
Sat Jun 08 17:44:40 2024  
Sat Jun 08 17:44:40 2024  commencing relation filtering
Sat Jun 08 17:44:40 2024  estimated available RAM is 32388.7 MB
Sat Jun 08 17:44:40 2024  commencing duplicate removal, pass 1
Sat Jun 08 17:45:26 2024  skipped 1 relations with composite factors
Sat Jun 08 17:45:26 2024  found 1054873 hash collisions in 8225601 relations
Sat Jun 08 17:45:34 2024  added 506 free relations
Sat Jun 08 17:45:34 2024  commencing duplicate removal, pass 2
Sat Jun 08 17:45:37 2024  found 762783 duplicates and 7463324 unique relations
Sat Jun 08 17:45:37 2024  memory use: 41.3 MB
Sat Jun 08 17:45:37 2024  reading ideals above 100000
Sat Jun 08 17:45:37 2024  commencing singleton removal, initial pass
Sat Jun 08 17:46:19 2024  memory use: 188.3 MB
Sat Jun 08 17:46:19 2024  reading all ideals from disk
Sat Jun 08 17:46:19 2024  memory use: 249.5 MB
Sat Jun 08 17:46:19 2024  keeping 8104218 ideals with weight <= 200, target excess is 38008
Sat Jun 08 17:46:19 2024  commencing in-memory singleton removal
Sat Jun 08 17:46:20 2024  begin with 7463324 relations and 8104218 unique ideals
Sat Jun 08 17:46:21 2024  reduce to 2666905 relations and 2430326 ideals in 14 passes
Sat Jun 08 17:46:21 2024  max relations containing the same ideal: 100
Sat Jun 08 17:46:22 2024  removing 553240 relations and 456995 ideals in 96245 cliques
Sat Jun 08 17:46:22 2024  commencing in-memory singleton removal
Sat Jun 08 17:46:22 2024  begin with 2113665 relations and 2430326 unique ideals
Sat Jun 08 17:46:22 2024  reduce to 2024504 relations and 1880068 ideals in 9 passes
Sat Jun 08 17:46:22 2024  max relations containing the same ideal: 85
Sat Jun 08 17:46:23 2024  removing 433701 relations and 337456 ideals in 96245 cliques
Sat Jun 08 17:46:23 2024  commencing in-memory singleton removal
Sat Jun 08 17:46:23 2024  begin with 1590803 relations and 1880068 unique ideals
Sat Jun 08 17:46:23 2024  reduce to 1516873 relations and 1465171 ideals in 9 passes
Sat Jun 08 17:46:23 2024  max relations containing the same ideal: 67
Sat Jun 08 17:46:24 2024  relations with 0 large ideals: 127
Sat Jun 08 17:46:24 2024  relations with 1 large ideals: 465
Sat Jun 08 17:46:24 2024  relations with 2 large ideals: 6975
Sat Jun 08 17:46:24 2024  relations with 3 large ideals: 51256
Sat Jun 08 17:46:24 2024  relations with 4 large ideals: 187073
Sat Jun 08 17:46:24 2024  relations with 5 large ideals: 381975
Sat Jun 08 17:46:24 2024  relations with 6 large ideals: 449464
Sat Jun 08 17:46:24 2024  relations with 7+ large ideals: 439538
Sat Jun 08 17:46:24 2024  commencing 2-way merge
Sat Jun 08 17:46:24 2024  reduce to 881427 relation sets and 829725 unique ideals
Sat Jun 08 17:46:24 2024  commencing full merge
Sat Jun 08 17:46:36 2024  memory use: 106.9 MB
Sat Jun 08 17:46:36 2024  found 395130 cycles, need 387925
Sat Jun 08 17:46:36 2024  weight of 387925 cycles is about 35195794 (90.73/cycle)
Sat Jun 08 17:46:36 2024  distribution of cycle lengths:
Sat Jun 08 17:46:36 2024  1 relations: 27648
Sat Jun 08 17:46:36 2024  2 relations: 30582
Sat Jun 08 17:46:36 2024  3 relations: 31227
Sat Jun 08 17:46:36 2024  4 relations: 30279
Sat Jun 08 17:46:36 2024  5 relations: 29659
Sat Jun 08 17:46:36 2024  6 relations: 27590
Sat Jun 08 17:46:36 2024  7 relations: 25830
Sat Jun 08 17:46:36 2024  8 relations: 23981
Sat Jun 08 17:46:36 2024  9 relations: 22317
Sat Jun 08 17:46:36 2024  10+ relations: 138812
Sat Jun 08 17:46:36 2024  heaviest cycle: 26 relations
Sat Jun 08 17:46:36 2024  commencing cycle optimization
Sat Jun 08 17:46:36 2024  start with 3187927 relations
Sat Jun 08 17:46:41 2024  pruned 111050 relations
Sat Jun 08 17:46:41 2024  memory use: 92.2 MB
Sat Jun 08 17:46:41 2024  distribution of cycle lengths:
Sat Jun 08 17:46:41 2024  1 relations: 27648
Sat Jun 08 17:46:41 2024  2 relations: 31286
Sat Jun 08 17:46:41 2024  3 relations: 32369
Sat Jun 08 17:46:41 2024  4 relations: 31341
Sat Jun 08 17:46:41 2024  5 relations: 30677
Sat Jun 08 17:46:41 2024  6 relations: 28530
Sat Jun 08 17:46:41 2024  7 relations: 26688
Sat Jun 08 17:46:41 2024  8 relations: 24760
Sat Jun 08 17:46:41 2024  9 relations: 23017
Sat Jun 08 17:46:41 2024  10+ relations: 131609
Sat Jun 08 17:46:41 2024  heaviest cycle: 26 relations
Sat Jun 08 17:46:41 2024  RelProcTime: 121
Sat Jun 08 17:46:41 2024  elapsed time 00:02:02
Sat Jun 08 17:46:41 2024  
Sat Jun 08 17:46:41 2024  
Sat Jun 08 17:46:41 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Jun 08 17:46:41 2024  random seeds: b2f1504c 044f3041
Sat Jun 08 17:46:41 2024  factoring 7265631101812392238680978669530523571981478472912446712525063618191283300801736930445257596091167495074662798691 (112 digits)
Sat Jun 08 17:46:41 2024  searching for 15-digit factors
Sat Jun 08 17:46:41 2024  commencing number field sieve (112-digit input)
Sat Jun 08 17:46:41 2024  R0: -6694763454679966700480
Sat Jun 08 17:46:41 2024  R1: 5753176986829
Sat Jun 08 17:46:41 2024  A0: 295695688533886740267234879
Sat Jun 08 17:46:41 2024  A1: 9264573604309648562759
Sat Jun 08 17:46:41 2024  A2: -575066902666855292
Sat Jun 08 17:46:41 2024  A3: -11827172121729
Sat Jun 08 17:46:41 2024  A4: 294377643
Sat Jun 08 17:46:41 2024  A5: 540
Sat Jun 08 17:46:41 2024  skew 51241.69, size 1.101e-010, alpha -5.046, combined = 8.208e-010 rroots = 5
Sat Jun 08 17:46:41 2024  
Sat Jun 08 17:46:41 2024  commencing linear algebra
Sat Jun 08 17:46:41 2024  read 387925 cycles
Sat Jun 08 17:46:42 2024  cycles contain 1431350 unique relations
Sat Jun 08 17:46:46 2024  read 1431350 relations
Sat Jun 08 17:46:47 2024  using 20 quadratic characters above 4294917295
Sat Jun 08 17:46:52 2024  building initial matrix
Sat Jun 08 17:47:01 2024  memory use: 176.1 MB
Sat Jun 08 17:47:01 2024  read 387925 cycles
Sat Jun 08 17:47:01 2024  matrix is 387748 x 387925 (142.3 MB) with weight 44021601 (113.48/col)
Sat Jun 08 17:47:01 2024  sparse part has weight 33024002 (85.13/col)
Sat Jun 08 17:47:03 2024  filtering completed in 2 passes
Sat Jun 08 17:47:03 2024  matrix is 387589 x 387766 (142.2 MB) with weight 44012581 (113.50/col)
Sat Jun 08 17:47:03 2024  sparse part has weight 33019954 (85.15/col)
Sat Jun 08 17:47:03 2024  matrix starts at (0, 0)
Sat Jun 08 17:47:03 2024  matrix is 387589 x 387766 (142.2 MB) with weight 44012581 (113.50/col)
Sat Jun 08 17:47:03 2024  sparse part has weight 33019954 (85.15/col)
Sat Jun 08 17:47:03 2024  saving the first 112 matrix rows for later
Sat Jun 08 17:47:03 2024  matrix includes 128 packed rows
Sat Jun 08 17:47:03 2024  matrix is 387477 x 387766 (128.9 MB) with weight 31993507 (82.51/col)
Sat Jun 08 17:47:03 2024  sparse part has weight 29124973 (75.11/col)
Sat Jun 08 17:47:03 2024  using block size 8192 and superblock size 589824 for processor cache size 12288 kB
Sat Jun 08 17:47:05 2024  commencing Lanczos iteration (10 threads)
Sat Jun 08 17:47:05 2024  memory use: 143.7 MB
Sat Jun 08 17:47:10 2024  linear algebra at 3.1%, ETA 0h 2m
Sat Jun 08 17:49:56 2024  lanczos halted after 3047 iterations (dim = 387475)
Sat Jun 08 17:49:57 2024  recovered 28 nontrivial dependencies
Sat Jun 08 17:49:57 2024  BLanczosTime: 196
Sat Jun 08 17:49:57 2024  elapsed time 00:03:16
Sat Jun 08 17:49:57 2024  
Sat Jun 08 17:49:57 2024  
Sat Jun 08 17:49:57 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Jun 08 17:49:57 2024  random seeds: 1a282550 343c442b
Sat Jun 08 17:49:57 2024  factoring 7265631101812392238680978669530523571981478472912446712525063618191283300801736930445257596091167495074662798691 (112 digits)
Sat Jun 08 17:49:57 2024  searching for 15-digit factors
Sat Jun 08 17:49:58 2024  commencing number field sieve (112-digit input)
Sat Jun 08 17:49:58 2024  R0: -6694763454679966700480
Sat Jun 08 17:49:58 2024  R1: 5753176986829
Sat Jun 08 17:49:58 2024  A0: 295695688533886740267234879
Sat Jun 08 17:49:58 2024  A1: 9264573604309648562759
Sat Jun 08 17:49:58 2024  A2: -575066902666855292
Sat Jun 08 17:49:58 2024  A3: -11827172121729
Sat Jun 08 17:49:58 2024  A4: 294377643
Sat Jun 08 17:49:58 2024  A5: 540
Sat Jun 08 17:49:58 2024  skew 51241.69, size 1.101e-010, alpha -5.046, combined = 8.208e-010 rroots = 5
Sat Jun 08 17:49:58 2024  
Sat Jun 08 17:49:58 2024  commencing square root phase
Sat Jun 08 17:49:58 2024  reading relations for dependency 1
Sat Jun 08 17:49:58 2024  read 194016 cycles
Sat Jun 08 17:49:58 2024  cycles contain 715280 unique relations
Sat Jun 08 17:50:01 2024  read 715280 relations
Sat Jun 08 17:50:02 2024  multiplying 715280 relations
Sat Jun 08 17:50:15 2024  multiply complete, coefficients have about 28.42 million bits
Sat Jun 08 17:50:15 2024  initial square root is modulo 144899917
Sat Jun 08 17:50:32 2024  GCD is 1, no factor found
Sat Jun 08 17:50:32 2024  reading relations for dependency 2
Sat Jun 08 17:50:32 2024  read 194075 cycles
Sat Jun 08 17:50:32 2024  cycles contain 716096 unique relations
Sat Jun 08 17:50:35 2024  read 716096 relations
Sat Jun 08 17:50:36 2024  multiplying 716096 relations
Sat Jun 08 17:50:49 2024  multiply complete, coefficients have about 28.45 million bits
Sat Jun 08 17:50:49 2024  initial square root is modulo 147934219
Sat Jun 08 17:51:06 2024  sqrtTime: 68
Sat Jun 08 17:51:06 2024  p49 factor: 3752230174445894337731182764255477250216493461709
Sat Jun 08 17:51:06 2024  p64 factor: 1936350054240831525712666280802133244680320999507576710830415599
Sat Jun 08 17:51:06 2024  elapsed time 00:01:09

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e65000dddOctober 23, 2023 03:15:05 UTC 2023 年 10 月 23 日 (月) 12 時 15 分 5 秒 (日本時間)

56×10219+259

c124

name 名前Eric Jeancolas
date 日付October 7, 2022 08:54:39 UTC 2022 年 10 月 7 日 (金) 17 時 54 分 39 秒 (日本時間)
composite number 合成数
3166719125588511015856876140145517642074374252435954352649894323345737667280483117967673836711241474628613847297501599313163<124>
prime factors 素因数
169007522191673373276472493737158677<36>
18737149000960433354314864931053429708130405827736833169902345678307951717389579616757919<89>
factorization results 素因数分解の結果
3166719125588511015856876140145517642074374252435954352649894323345737667280483117967673836711241474628613847297501599313163=169007522191673373276472493737158677*18737149000960433354314864931053429708130405827736833169902345678307951717389579616757919

cado polynomial
n: 3166719125588511015856876140145517642074374252435954352649894323345737667280483117967673836711241474628613847297501599313163
skew: 43127.022
c0: 43082874841302253839842403906
c1: -2509365342028288826562935
c2: -23753357958279552072
c3: 586889637668489
c4: 37407382740
c5: 338400
Y0: -642643815014763573878570
Y1: 141901816066584961
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.150e-07
# f(x) = 338400*x^5+37407382740*x^4+586889637668489*x^3-23753357958279552072*x^2-2509365342028288826562935*x+43082874841302253839842403906
# g(x) = 141901816066584961*x-642643815014763573878570

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

cado log (extracts)
Info:Square Root: Factors: 169007522191673373276472493737158677 18737149000960433354314864931053429708130405827736833169902345678307951717389579616757919
Info:Square Root: Total cpu/real time for sqrt: 504.67/134.847
Info:Square Root: Total cpu/real time for sqrt: 504.67/134.847
Info:Generate Factor Base: Total cpu/real time for makefb: 8.3/6.36821
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.94/53.5767
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 55.1/61.4895
Info:Filtering - Merging: Merged matrix has 724655 rows and total weight 123468220 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 154.71/44.1052
Info:Filtering - Merging: Total cpu/real time for replay: 26.58/21.9417
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11633340
Info:Lattice Sieving: Average J: 3806.99 for 166968 special-q, max bucket fill -bkmult 1.0,1s:1.170400
Info:Lattice Sieving: Total time: 74469s
Info:Linear Algebra: Total cpu/real time for bwc: 7819.97/2027.86
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4908.62, WCT time 1268.13, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22784 iterations)
Info:Linear Algebra: Lingen CPU time 127.61, WCT time 32.44
Info:Linear Algebra: Mksol: CPU time 2671.95,  WCT time 686.97, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2674.57
Info:Polynomial Selection (root optimized): Rootsieve time: 2671.9
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20219/36.000/43.975/48.030/0.890
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15984/35.680/39.357/44.700/0.901
Info:Polynomial Selection (size optimized): Total time: 2036.73
Info:Quadratic Characters: Total cpu/real time for characters: 27.07/10.8586
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.6/110.733
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 98.69999999999999s
Info:Generate Free Relations: Total cpu/real time for freerel: 129.34/89.729
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 108122/42494.9
Info:root: Cleaning up computation data in /tmp/cado.k4u_uk5u
169007522191673373276472493737158677 18737149000960433354314864931053429708130405827736833169902345678307951717389579616757919
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10221+259

c176

composite cofactor 合成数の残り
86640145853644351362777162164029467842254504884338630132375910595884949365472306896539092584841099649887472025694349401021399258912345448978792999376775721742654787079113420349<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500dddJune 5, 2024 00:27:19 UTC 2024 年 6 月 5 日 (水) 9 時 27 分 19 秒 (日本時間)
4511e65000cccJune 23, 2024 03:16:55 UTC 2024 年 6 月 23 日 (日) 12 時 16 分 55 秒 (日本時間)

56×10223+259

c195

composite cofactor 合成数の残り
190943741097171430820127630030389561131078163893944612811015398134458871110689895596277272600741279826061558834389872416247018119909154078855877000769890002236091099060661803759630785438251887641<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500dddJune 4, 2024 13:44:38 UTC 2024 年 6 月 4 日 (火) 22 時 44 分 38 秒 (日本時間)

56×10224+259

c210

composite cofactor 合成数の残り
414122665119682030418115202275160892801724259232592286491744836894690758350211184950468414795174673521498630934845540044528520055123765113446485904117893230230553441601153346258598053151429669712897647085499377<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e681921792Dmitry DomanovOctober 23, 2022 19:41:35 UTC 2022 年 10 月 24 日 (月) 4 時 41 分 35 秒 (日本時間)
6400cccJune 22, 2024 13:20:23 UTC 2024 年 6 月 22 日 (土) 22 時 20 分 23 秒 (日本時間)

56×10225+259

c202

composite cofactor 合成数の残り
1616023948670345096409589358926791933384493656230394263137552707767172974893163290735889787126007116044883313457904403090776844048360557211212856126561655368215601064997677336074010565938473071132750163<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e681921792Dmitry DomanovOctober 23, 2022 19:41:43 UTC 2022 年 10 月 24 日 (月) 4 時 41 分 43 秒 (日本時間)
6400cccJune 22, 2024 13:19:22 UTC 2024 年 6 月 22 日 (土) 22 時 19 分 22 秒 (日本時間)

56×10227+259

c190

composite cofactor 合成数の残り
3155189237647355447492169601209222072373699373743980999359787806858399438357803640069210929489523570072642146379431021805311511511104407918024749929450477029977879893544815519924417969893103<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500dddJune 4, 2024 13:44:57 UTC 2024 年 6 月 4 日 (火) 22 時 44 分 57 秒 (日本時間)

56×10229+259

c215

composite cofactor 合成数の残り
50754035963911177844665373127853986272559920160102633643556581669726088843853947032269689671203480849416158792153217909538880845826277778401714573854266831247550456649565364269365266473140513408551724750911482473869<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e681921792Dmitry DomanovOctober 23, 2022 19:41:50 UTC 2022 年 10 月 24 日 (月) 4 時 41 分 50 秒 (日本時間)
6400cccJune 22, 2024 13:17:33 UTC 2024 年 6 月 22 日 (土) 22 時 17 分 33 秒 (日本時間)

56×10230+259

c197

composite cofactor 合成数の残り
35579863340876077955012850317144441693766228163767768396468407242630623956452142579156211413063036719323214082639156882822578734382737745244025781155894211966102515466036731192474157933192814193733<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500dddJune 5, 2024 00:22:28 UTC 2024 年 6 月 5 日 (水) 9 時 22 分 28 秒 (日本時間)

56×10231+259

c230

composite cofactor 合成数の残り
82962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 21, 2022 06:25:36 UTC 2022 年 10 月 21 日 (金) 15 時 25 分 36 秒 (日本時間)
4511e64040ebinaNovember 7, 2022 21:30:57 UTC 2022 年 11 月 8 日 (火) 6 時 30 分 57 秒 (日本時間)

56×10233+259

c148

name 名前Ignacio Santos
date 日付October 9, 2022 11:30:16 UTC 2022 年 10 月 9 日 (日) 20 時 30 分 16 秒 (日本時間)
composite number 合成数
1034360488776492701097750934514732580010519090289155745757077192477370185748827360841264579101521376307929045624426921226706762414251659931646411829<148>
prime factors 素因数
131148569723180026322119818522713709393239348167<48>
7886936860689783771740704683307807778396426692692605624934568149341424566190473689208852418050813987<100>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:385728070
Step 1 took 21812ms
Step 2 took 10938ms
********** Factor found in step 2: 131148569723180026322119818522713709393239348167
Found prime factor of 48 digits: 131148569723180026322119818522713709393239348167
Prime cofactor 7886936860689783771740704683307807778396426692692605624934568149341424566190473689208852418050813987 has 100 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 7, 2022 09:54:00 UTC 2022 年 10 月 7 日 (金) 18 時 54 分 0 秒 (日本時間)

56×10236+259

c180

name 名前ebina
date 日付November 16, 2022 23:04:41 UTC 2022 年 11 月 17 日 (木) 8 時 4 分 41 秒 (日本時間)
composite number 合成数
102997916634364343152246852499598245635925429917597107474076698700984341590312002483163018671396834607687510725364372764788717030889127013241730000383399909676630030859416913255871<180>
prime factors 素因数
179993153455156878350947451196024775459<39>
composite cofactor 合成数の残り
572232413606915503523042155159957306317520199083357138249450089849335269455265884636272674815445653681294905527412367801304576745956107698869<141>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:499786234 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 102997916634364343152246852499598245635925429917597107474076698700984341590312002483163018671396834607687510725364372764788717030889127013241730000383399909676630030859416913255871 (180 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:499786234
Step 1 took 6078ms
Step 2 took 4953ms
********** Factor found in step 2: 179993153455156878350947451196024775459
Found probable prime factor of 39 digits: 179993153455156878350947451196024775459
Composite cofactor 572232413606915503523042155159957306317520199083357138249450089849335269455265884636272674815445653681294905527412367801304576745956107698869 has 141 digits

c141

name 名前Eric Jeancolas
date 日付October 22, 2023 15:55:05 UTC 2023 年 10 月 23 日 (月) 0 時 55 分 5 秒 (日本時間)
composite number 合成数
572232413606915503523042155159957306317520199083357138249450089849335269455265884636272674815445653681294905527412367801304576745956107698869<141>
prime factors 素因数
58585113894637759834122453134083309252374669008025972959759852470679<68>
9767539491961137863532110277245351214153664199785726598737165309652766611<73>
factorization results 素因数分解の結果
572232413606915503523042155159957306317520199083357138249450089849335269455265884636272674815445653681294905527412367801304576745956107698869=58585113894637759834122453134083309252374669008025972959759852470679*9767539491961137863532110277245351214153664199785726598737165309652766611

cado polynomial
n: 572232413606915503523042155159957306317520199083357138249450089849335269455265884636272674815445653681294905527412367801304576745956107698869
skew: 64761.97
c0: 2974682485777078688487552673008
c1: 408622748680539153944463976
c2: 2019056139314560466782
c3: -368883117853664051
c4: -237461979600
c5: 6637500
Y0: -1166031604730336044495908211
Y1: 3263769724859276399
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.151e-07
# f(x) = 6637500*x^5-237461979600*x^4-368883117853664051*x^3+2019056139314560466782*x^2+408622748680539153944463976*x+2974682485777078688487552673008
# g(x) = 3263769724859276399*x-1166031604730336044495908211

cado parameters (extracts)
tasks.lim0 = 14900000
tasks.lim1 = 14900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 58585113894637759834122453134083309252374669008025972959759852470679 9767539491961137863532110277245351214153664199785726598737165309652766611
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1252.76/778.925
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 232.11/113.215
Info:Quadratic Characters: Total cpu/real time for characters: 73.65/50.7215
Info:Linear Algebra: Total cpu/real time for bwc: 104346/62661.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 68072.62, WCT time 40737.52, iteration CPU time 0.44, COMM 0.03, cpu-wait 0.14, comm-wait 0.01 (65024 iterations)
Info:Linear Algebra: Lingen CPU time 175.31, WCT time 179.65
Info:Linear Algebra: Mksol: CPU time 35815.53,  WCT time 21557.12, iteration CPU time 0.5, COMM 0.03, cpu-wait 0.13, comm-wait 0.0 (32512 iterations)
Info:Filtering - Merging: Merged matrix has 2078114 rows and total weight 355382907 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 574.34/301.876
Info:Filtering - Merging: Total cpu/real time for replay: 83.95/86.5174
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33944712
Info:Lattice Sieving: Average J: 3783.91 for 1089696 special-q, max bucket fill -bkmult 1.0,1s:1.174170
Info:Lattice Sieving: Total time: 645930s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 147.59/257.314
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 256.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 295.37/366.652
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7599.01
Info:Polynomial Selection (root optimized): Rootsieve time: 7596.8
Info:Generate Factor Base: Total cpu/real time for makefb: 5.03/4.31176
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 545.06/571.324
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 471.00000000000006s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48162/41.930/50.666/56.290/0.932
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39576/40.580/45.259/51.450/1.060
Info:Polynomial Selection (size optimized): Total time: 16938.5
Info:Square Root: Total cpu/real time for sqrt: 1252.76/778.925
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 745496/120931
58585113894637759834122453134083309252374669008025972959759852470679 9767539491961137863532110277245351214153664199785726598737165309652766611
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e640351685ebinaNovember 16, 2022 23:03:40 UTC 2022 年 11 月 17 日 (木) 8 時 3 分 40 秒 (日本時間)
2350Ignacio SantosNovember 17, 2022 15:22:42 UTC 2022 年 11 月 18 日 (金) 0 時 22 分 42 秒 (日本時間)
4511e64480Ignacio SantosNovember 18, 2022 12:53:23 UTC 2022 年 11 月 18 日 (金) 21 時 53 分 23 秒 (日本時間)
5043e66454Ignacio SantosDecember 22, 2022 11:48:59 UTC 2022 年 12 月 22 日 (木) 20 時 48 分 59 秒 (日本時間)

56×10237+259

c204

composite cofactor 合成数の残り
318174425662676040346039755219926335635961836696044072105878779331053681062319902910540140246958555710216486407845253123278567493654268579783198167645896763620741794739220278205488320418725548061511903223<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e681921792Dmitry DomanovOctober 23, 2022 19:41:57 UTC 2022 年 10 月 24 日 (月) 4 時 41 分 57 秒 (日本時間)
6400cccJune 22, 2024 13:16:59 UTC 2024 年 6 月 22 日 (土) 22 時 16 分 59 秒 (日本時間)

56×10238+259

c217

composite cofactor 合成数の残り
2280765552831736941726086486071239319810132710519901227571951147716343195343555018617505150552118117596389287375141495294824981065124779276207858454775460415587631167624147283534601166749589162904127568897906444235717<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e681921792Dmitry DomanovOctober 23, 2022 19:42:04 UTC 2022 年 10 月 24 日 (月) 4 時 42 分 4 秒 (日本時間)
6400cccJune 22, 2024 13:16:30 UTC 2024 年 6 月 22 日 (土) 22 時 16 分 30 秒 (日本時間)

56×10239+259

c184

name 名前anonymous
date 日付June 5, 2024 00:24:12 UTC 2024 年 6 月 5 日 (水) 9 時 24 分 12 秒 (日本時間)
composite number 合成数
2566710133401152322139116652916272638347577561430203418734209333911601577816816617691148626673132162565026109307842223280658043352471507365820591172331710091994689150678835626814720601<184>
prime factors 素因数
3590629089428075633834612393197288283<37>
714835776537972715123282018326495440809661253300543008922817756145580586132039792866662983457678962716139793981899320710112144418148230112951821147<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:8646335543869260764
Step 1 took 29796ms
********** Factor found in step 2: 3590629089428075633834612393197288283
Found prime factor of 37 digits: 3590629089428075633834612393197288283
Prime cofactor 714835776537972715123282018326495440809661253300543008922817756145580586132039792866662983457678962716139793981899320710112144418148230112951821147 has 147 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10240+259

c228

composite cofactor 合成数の残り
334657360905241467969987531388112010237434409549582753693009696190038429049304912020845132363061593559816618776229988558827208504051784096893591605537740811653567152816839329591164096865177322113267171858625772275362009687805747<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:25:45 UTC 2022 年 10 月 21 日 (金) 15 時 25 分 45 秒 (日本時間)

56×10241+259

c223

composite cofactor 合成数の残り
1059979508682476697227564024019144311757661287904877916746621402418499513385448059077627919176552286064961658912527557452871297449799196709703137626052835291733642820164667921016822962756695755311809092248191965990824905673<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:25:52 UTC 2022 年 10 月 21 日 (金) 15 時 25 分 52 秒 (日本時間)

56×10243+259

c167

composite cofactor 合成数の残り
96251852587895656984272196166058140156260833805345675688327972926418605608450062369927377866114480192589920603728082611024989740474271587686945326285139741286737997577<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e64800dddOctober 29, 2023 23:21:15 UTC 2023 年 10 月 30 日 (月) 8 時 21 分 15 秒 (日本時間)

56×10244+259

c206

composite cofactor 合成数の残り
15133990563036093614753519437166535230789991434703145490804622349276587364297027398395206046511258788982927323598337404434233308282908968367047865444264409789477196434332398890434527582207436313079368660061<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:42:11 UTC 2022 年 10 月 24 日 (月) 4 時 42 分 11 秒 (日本時間)

56×10246+259

c197

composite cofactor 合成数の残り
12591400213819599946847742804936262245072618258429581554644777726217282169785853006110818984180345310031177522209574753869225458175433036534390026216827170724338464706234640868287888498221502927281<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10247+259

c242

composite cofactor 合成数の残り
68302886711734374952355687282551356757564392241523886190315016572597735637336065448801802708331427560824635387603635909022994288780945933996237242758826775951285405441666590435766318748837478769694253104884571170693182823043686404371384749551<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:33:18 UTC 2022 年 10 月 20 日 (木) 14 時 33 分 18 秒 (日本時間)

56×10248+259

c188

composite cofactor 合成数の残り
17858728085192604974300882673309490757327460525399999711026939078939776626729822322036878808612188697496418020891361245632346456337663123073437593152662224596087482280786343859328319570453<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10250+259

c250

composite cofactor 合成数の残り
2488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:33:25 UTC 2022 年 10 月 20 日 (木) 14 時 33 分 25 秒 (日本時間)

56×10251+259

c238

composite cofactor 合成数の残り
5972655897255099877787157766888013571443497049168703998422081173335817594340926559669315521710403527828249932298580846052327483797430355510765336667682505763762300776998975047938310096172504124591790684336311648292444227180925187434004859<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:25:59 UTC 2022 年 10 月 21 日 (金) 15 時 25 分 59 秒 (日本時間)

56×10252+259

c218

composite cofactor 合成数の残り
27481164255948702063459370877152743127978672940064539582148840326108952068876540937604395220462763329759938903158033276021153456672676003627731112162378777447992983252396493047905779817821239483392412366805420437411513<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:42:18 UTC 2022 年 10 月 24 日 (月) 4 時 42 分 18 秒 (日本時間)

56×10253+259

c214

composite cofactor 合成数の残り
3652653842834429900476929664660447131737243414505655180428061888133093705958564629898025658080252237676029770681139340602987847496350280538616854478539544226977623166544122272694640695002181133697429059624265923487<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:42:26 UTC 2022 年 10 月 24 日 (月) 4 時 42 分 26 秒 (日本時間)

56×10255+259

c244

composite cofactor 合成数の残り
6646399094718409572506447082939784387549688665041428861757191306426259656295507596125550818945624440355276538757831407987532346893578916380697483430692259940931803709719041743376619983821603493971349494433897194943403673162684789440772813076951<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:33:32 UTC 2022 年 10 月 20 日 (木) 14 時 33 分 32 秒 (日本時間)

56×10256+259

c219

composite cofactor 合成数の残り
293299261608786165909329197588772822362629047089414597514613564276064592040817372057356610489756631958318192913299736803834213279536375511143998701930164646319397852045586516533540661312836414355089574659302979632786141<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:42:32 UTC 2022 年 10 月 24 日 (月) 4 時 42 分 32 秒 (日本時間)

56×10259+259

c232

composite cofactor 合成数の残り
2297518183474565881136471022216728324095867847324015385949832426919966689941927134574278085487291721192214516293979557147180382930174408310019145307360251199391112395154937544025086758819221673646394736692400411782160283811311359579<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:26:05 UTC 2022 年 10 月 21 日 (金) 15 時 26 分 5 秒 (日本時間)

56×10260+259

c186

composite cofactor 合成数の残り
592482104914782197770125206339423264914154856833303265239680290523438654932614552279827542915289981659860916900021084717303986107993114355426941968201919045079633263828803253834489439803<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10261+259

c206

composite cofactor 合成数の残り
43950354849100620371886255736284925233927746446155563478623796069368058620674626723320962283735402023619383290425301936555380205000719719801152489042311545731438218532123168254897942834746687581993223132201<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:42:40 UTC 2022 年 10 月 24 日 (月) 4 時 42 分 40 秒 (日本時間)

56×10263+259

c220

composite cofactor 合成数の残り
1407089148071737022126485503899882437015731404989744971776480374899573928044625357457575436761348842627225125048549173453399103163836615924694783744500760831658670885543532244429649346313057174269209375896604540553144887<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:26:12 UTC 2022 年 10 月 21 日 (金) 15 時 26 分 12 秒 (日本時間)

56×10264+259

c242

composite cofactor 合成数の残り
26966134175450495667714956026402121653022222657101516890839646068338302162188763890485589341981580909308411501159516932246779283337091461660675942964020360796970969126842115412288118081295555001657863012069062103338240290448442348520574524603<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:33:39 UTC 2022 年 10 月 20 日 (木) 14 時 33 分 39 秒 (日本時間)

56×10266+259

c263

composite cofactor 合成数の残り
43741456746729154462019136887326694005077133372388205428627221245850419839875024409295059558679945323179066588556922476078890841632493653583284514743214215973442686975200156219488381175551650068346026166764303846904901386447959382933020894356570982230033196641281<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:33:47 UTC 2022 年 10 月 20 日 (木) 14 時 33 分 47 秒 (日本時間)

56×10267+259

c251

composite cofactor 合成数の残り
74940254002876307403835565826991426522548943090789279745935660567420185194378529623231356492232220512865891283229424550710157884367760190348271404560533061120486181902773933493271282745453236995849365330244004757675597923331259833143407449418533348753<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:33:54 UTC 2022 年 10 月 20 日 (木) 14 時 33 分 54 秒 (日本時間)

56×10268+259

c236

composite cofactor 合成数の残り
13883901090167724822750524443175970001718452610263325443935169534301370881317128026078467334363987170503063462019301426126026980970205644331254639264045472707203133712735085137461852070853547102226713307196141438444250723851065793730357<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:26:19 UTC 2022 年 10 月 21 日 (金) 15 時 26 分 19 秒 (日本時間)

56×10269+259

c190

name 名前anonymous
date 日付December 31, 2023 22:09:56 UTC 2024 年 1 月 1 日 (月) 7 時 9 分 56 秒 (日本時間)
composite number 合成数
1273589035278965630474157825484917729538309387200671269010210879086502392590039029458102120946187230058323305542159605814707260382352210805717610807567483696911967785648831597006113242283563<190>
prime factors 素因数
32203625121946987366159043708701768817<38>
39548002141256020494512002482234054040431742474809564612571480016803225424882134194724379076136693347255186112460376898886278388725434331219720485954139<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:8159295826449768177
Step 1 took 14766ms
Step 2 took 5344ms
********** Factor found in step 2: 32203625121946987366159043708701768817
Found prime factor of 38 digits: 32203625121946987366159043708701768817
Prime cofactor 39548002141256020494512002482234054040431742474809564612571480016803225424882134194724379076136693347255186112460376898886278388725434331219720485954139 has 152 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

56×10270+259

c203

composite cofactor 合成数の残り
29185428658199250786853429503533586656967773100581937024230294597684493560294992907738565146161862406106326397213452432343574323878675258422627919752755467155940915002744521861261438717020775234950769861<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:42:59 UTC 2022 年 10 月 24 日 (月) 4 時 42 分 59 秒 (日本時間)

56×10272+259

c264

composite cofactor 合成数の残り
661616471346112792192909097704085399303867824364349686079377075805064595521198521073342646234969421371529940861204953580412409589260017627294056536492060497489450517980273828112046651569819321432146710309842761617633014676097666842889985996680628812227092989518663<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:34:00 UTC 2022 年 10 月 20 日 (木) 14 時 34 分 0 秒 (日本時間)

56×10274+259

c240

composite cofactor 合成数の残り
159352286270057690908496953386814159354063460159732329872686826245643637097965838712433969917346647789554770767618146297920044916011714824242226536877330094485563569511474734496594634341491140460658392185489722522283332538196191102701024751<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:34:07 UTC 2022 年 10 月 20 日 (木) 14 時 34 分 7 秒 (日本時間)

56×10275+259

c253

name 名前Dmitry Domanov
date 日付October 21, 2022 11:32:15 UTC 2022 年 10 月 21 日 (金) 20 時 32 分 15 秒 (日本時間)
composite number 合成数
2186043218419515919775878694436766130854027776927648786349085662703253775596209780875685028214265221764098194561983972277661806303268507338892171787373657268567167936008534670119841956697366459022291134254311864219393801657880657437247561100049806938557<253>
prime factors 素因数
1171811352995812998031818096978504547211<40>
composite cofactor 合成数の残り
1865524866976883501883603263297311224436340717674347188158518396215151723509869196261936625207307523460150739222648364678932520808756985165445583953761070276993997240028314306390945301994472477982403288905748099287<214>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4afe47c56293 with GMP-ECM 7.0.5-dev on Thu Oct 20 06:36:50 2022 
Input number is 2186043218419515919775878694436766130854027776927648786349085662703253775596209780875685028214265221764098194561983972277661806303268507338892171787373657268567167936008534670119841956697366459022291134254311864219393801657880657437247561100049806938557 (253 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:575899607
Step 1 took 0ms
Step 2 took 4397ms
********** Factor found in step 2: 1171811352995812998031818096978504547211
Found prime factor of 40 digits: 1171811352995812998031818096978504547211
Composite cofactor 1865524866976883501883603263297311224436340717674347188158518396215151723509869196261936625207307523460150739222648364678932520808756985165445583953761070276993997240028314306390945301994472477982403288905748099287 has 214 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:34:14 UTC 2022 年 10 月 20 日 (木) 14 時 34 分 14 秒 (日本時間)

56×10276+259

c219

composite cofactor 合成数の残り
194438169435499475708817458856051777586503515472205190423908427203671301225106742693465543130475899013206085079181708763524307246456550541424206115278149127879247342257432281539130839548492610988750520548389062793559241<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:43:07 UTC 2022 年 10 月 24 日 (月) 4 時 43 分 7 秒 (日本時間)

56×10277+259

c214

composite cofactor 合成数の残り
1632438854108366735763225095531382593840344207862795088183951744242966809848405390282163433964358594071408168691686248515431038141466410450915219109179618717268510890856872071455418360685200056568288359021749601629<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:43:14 UTC 2022 年 10 月 24 日 (月) 4 時 43 分 14 秒 (日本時間)

56×10278+259

c265

composite cofactor 合成数の残り
2208588072994881062320968468749105525328497953849291913536054355804177648765973021994187972535958613499352019547756935162977854758287525135507192750087744653154308880283048278818630659250595976898584237915472303554531671920652965924049765672188353045444411122904153<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:34:22 UTC 2022 年 10 月 20 日 (木) 14 時 34 分 22 秒 (日本時間)

56×10281+259

c281

composite cofactor 合成数の残り
24888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:34:29 UTC 2022 年 10 月 20 日 (木) 14 時 34 分 29 秒 (日本時間)

56×10282+259

c280

composite cofactor 合成数の残り
3607085346215780998389694041867954911433172302737520128824476650563607085346215780998389694041867954911433172302737520128824476650563607085346215780998389694041867954911433172302737520128824476650563607085346215780998389694041867954911433172302737520128824476650563607085346215781<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:34:35 UTC 2022 年 10 月 20 日 (木) 14 時 34 分 35 秒 (日本時間)

56×10283+259

c265

composite cofactor 合成数の残り
7933415537488385522338263132551262229431713800667520611505836330390267912556008339044783444437685206076416183534187730678413074873049030850832747571097442800438372313932757974675531511965440506066247009570691856980115587305634954138071181482402398191011411618779661<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:34:42 UTC 2022 年 10 月 20 日 (木) 14 時 34 分 42 秒 (日本時間)

56×10284+259

c227

composite cofactor 合成数の残り
87363029499693832809816621327178892012746006162425232963096504989313274232940997309639649045394823331709171847290414935381530975075750682587118921520087176674030675435756634221756391784779973600144123484864202374832675716119649<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:26:26 UTC 2022 年 10 月 21 日 (金) 15 時 26 分 26 秒 (日本時間)

56×10285+259

c254

composite cofactor 合成数の残り
15071219877499443103704662193763022376563964288084483473035975239735003597945300452261454794845580111532722863089827333433586093166423422634289573886449791386553236457915875039657822711276512025850758583151462155494660076203479938247016161829360042732891<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:34:49 UTC 2022 年 10 月 20 日 (木) 14 時 34 分 49 秒 (日本時間)

56×10286+259

c207

composite cofactor 合成数の残り
952697108648438662258915926822632277898190085065338872334784779212054362139218174397052439541904993231241013479225579772590946412479678125873077638516216181314634677483317364024841366717473165701373234806809<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:43:21 UTC 2022 年 10 月 24 日 (月) 4 時 43 分 21 秒 (日本時間)

56×10291+259

c259

composite cofactor 合成数の残り
2031242868845821242854166522933332675111592500973076206275699836840858043273555605764525136224713568196949297105229290906707370403381542430760615577303224077558082447068582392256774740881227369850097950455902391214495280659935437727264712480097846340275283577<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:34:56 UTC 2022 年 10 月 20 日 (木) 14 時 34 分 56 秒 (日本時間)

56×10292+259

c239

composite cofactor 合成数の残り
93712229819587831433666606424604081226986254343655707434466188101467320119578125331878239383599182839368507259431422162511159031392064463001210525821538991386570724253698008698533790146256707271280644852787727962775371698440830547495238651<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:26:33 UTC 2022 年 10 月 21 日 (金) 15 時 26 分 33 秒 (日本時間)

56×10293+259

c258

composite cofactor 合成数の残り
556516956319556815938509747106190313112516616915094570929977218889594225839169447007255349592108455798186968326376660648442791784088361958240292350044552522310714266467866171909935766414942975095910300869953853858229247243748153532979480382504062237089170783<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:35:03 UTC 2022 年 10 月 20 日 (木) 14 時 35 分 3 秒 (日本時間)

56×10294+259

c266

composite cofactor 合成数の残り
36991133661395404097218506191615919503650231176251475651840691827504947876045944659016894827266583374298974319857582876684403156950209326521255264253736574290477194690194015891484874863992239267457888613023637493438521136807753921868658323446854773932858098827351083<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:35:10 UTC 2022 年 10 月 20 日 (木) 14 時 35 分 10 秒 (日本時間)

56×10295+259

c254

composite cofactor 合成数の残り
67350186197949045352028544300346821805807488508113100263390486364940662647279852635866383691863766000639062164282107687035017448214716520372943111784369696961427434213877290064413301797678302238519726059272048926179820538453968236853680611744838106258813<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:35:17 UTC 2022 年 10 月 20 日 (木) 14 時 35 分 17 秒 (日本時間)

56×10296+259

c285

name 名前Dmitry Domanov
date 日付October 21, 2022 04:09:14 UTC 2022 年 10 月 21 日 (金) 13 時 9 分 14 秒 (日本時間)
composite number 合成数
142732949733569807400031178756437020267940169706617744238762725439338363201992939458477839441837079992938641875871588009167518472762364278563114981568799382258661556794732094147560556681238694548052502281464580592527334971579082372488205398354009767688758342789612377744303127435456943<285>
prime factors 素因数
198295112402060147724092813259971314649<39>
719800644627925341341899955438701021987882602839246786085469203264351634788270829931877940490991294981271363433124696165016004535669151676196965183137832182005580615317424094739735413757668482815874365748260835141806982454092155916656153952785607<246>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4afe47c56293 with GMP-ECM 7.0.5-dev on Thu Oct 20 07:30:20 2022 
Input number is 142732949733569807400031178756437020267940169706617744238762725439338363201992939458477839441837079992938641875871588009167518472762364278563114981568799382258661556794732094147560556681238694548052502281464580592527334971579082372488205398354009767688758342789612377744303127435456943 (285 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:776450998
Step 1 took 0ms
Step 2 took 4723ms
********** Factor found in step 2: 198295112402060147724092813259971314649
Found prime factor of 39 digits: 198295112402060147724092813259971314649
Prime cofactor 719800644627925341341899955438701021987882602839246786085469203264351634788270829931877940490991294981271363433124696165016004535669151676196965183137832182005580615317424094739735413757668482815874365748260835141806982454092155916656153952785607 has 246 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:35:24 UTC 2022 年 10 月 20 日 (木) 14 時 35 分 24 秒 (日本時間)

56×10298+259

c253

composite cofactor 合成数の残り
4345682717527716112415432851588321444296481435590148029495437296316222815563804999827582948884604006736630299332810805521253300280929764633893497258444858629088035149122625330257013686561831416968512190146618819581026430360611796882679042310433693887169<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:35:31 UTC 2022 年 10 月 20 日 (木) 14 時 35 分 31 秒 (日本時間)