Table of contents 目次

791×1094-89

c94

name 名前Dmitry Domanov
date 日付March 16, 2022 13:37:39 UTC 2022 年 3 月 16 日 (水) 22 時 37 分 39 秒 (日本時間)
composite number 合成数
4776570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657<94>
prime factors 素因数
10594546940130364566187789283787270802735875683<47>
450851751877782859765478624786752822456327473979<48>
factorization results 素因数分解の結果
N=4776570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657
  ( 94 digits)
SNFS difficulty: 96 digits.
Divisors found:
p47 factor: 10594546940130364566187789283787270802735875683
p48 factor: 450851751877782859765478624786752822456327473979
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.31 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4776570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657
m: 100000000000000000000000
deg: 4
c4: 19775
c0: -2
skew: 0.10
# Murphy_E = 4.246e-07
type: snfs
lss: 1
rlim: 280000
alim: 280000
lpbr: 24
lpba: 24
mfbr: 43
mfba: 43
rlambda: 2.1
alambda: 2.1
Factor base limits: 280000/280000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 43/43
Sieved rational special-q in [140000, 260001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 18542 x 18773
Total sieving time: 0.30 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,96.0000,4,0,0,0,0,0,0,0,0,280000,280000,24,24,43,43,2.1,2.1,10000
total time: 0.31 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10111-89

c97

name 名前Dmitry Domanov
date 日付March 16, 2022 15:37:33 UTC 2022 年 3 月 17 日 (木) 0 時 37 分 33 秒 (日本時間)
composite number 合成数
6465764107866219844307413105215886501797789873371416204289814104427035462418774566282223315288623<97>
prime factors 素因数
16666255813216997625578223393871250673767<41>
387955410041085179489694634448921925945403534157528466169<57>
factorization results 素因数分解の結果
N=6465764107866219844307413105215886501797789873371416204289814104427035462418774566282223315288623
  ( 97 digits)
SNFS difficulty: 113 digits.
Divisors found:
p41 factor: 16666255813216997625578223393871250673767
p57 factor: 387955410041085179489694634448921925945403534157528466169
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.23 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6465764107866219844307413105215886501797789873371416204289814104427035462418774566282223315288623
m: 5000000000000000000000000000
deg: 4
c4: 791
c0: -5
skew: 0.28
# Murphy_E = 6.451e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2

Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 60353 x 60578
Total sieving time: 1.19 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 1.23 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10112-89

c89

name 名前Ignacio Santos
date 日付March 16, 2022 16:18:37 UTC 2022 年 3 月 17 日 (木) 1 時 18 分 37 秒 (日本時間)
composite number 合成数
22570337888678395090733222000272079433724005658202306026953046618796184940326086929126703<89>
prime factors 素因数
197955882893427093388623200614388623<36>
114017010046776529771316507873181654363951763360420961<54>
factorization results 素因数分解の結果
prp54 = 114017010046776529771316507873181654363951763360420961
prp36 = 197955882893427093388623200614388623
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10122-89

c105

name 名前Ignacio Santos
date 日付March 17, 2022 17:28:36 UTC 2022 年 3 月 18 日 (金) 2 時 28 分 36 秒 (日本時間)
composite number 合成数
476999993139941661170509592667309536086905154009366367553868160650789825272437436968859932633734239232307<105>
prime factors 素因数
36936802191265700499109298670090393806069344058489<50>
12913949363292092531194795923312158178224104417835927563<56>
factorization results 素因数分解の結果
p50 factor: 36936802191265700499109298670090393806069344058489
p56 factor: 12913949363292092531194795923312158178224104417835927563
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10127-89

c98

name 名前Ignacio Santos
date 日付March 16, 2022 16:31:13 UTC 2022 年 3 月 17 日 (木) 1 時 31 分 13 秒 (日本時間)
composite number 合成数
49788396553437472384277968306927328806539387531238081932984434335448943787648416918332388893184257<98>
prime factors 素因数
3761316854621735171702343705275441398708084397231<49>
13236958883764273659850493348074555941641270362447<50>
factorization results 素因数分解の結果
prp49 = 3761316854621735171702343705275441398708084397231
prp50 = 13236958883764273659850493348074555941641270362447
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10129-89

c95

name 名前Ignacio Santos
date 日付March 16, 2022 16:27:42 UTC 2022 年 3 月 17 日 (木) 1 時 27 分 42 秒 (日本時間)
composite number 合成数
22683651410478456468452714878306923268239792829406941491512033000514267842566175873261477156737<95>
prime factors 素因数
322624560864992388728000327746433957735684141<45>
70309747496164148293245710076039089970996926782757<50>
factorization results 素因数分解の結果
prp45 = 322624560864992388728000327746433957735684141
prp50 = 70309747496164148293245710076039089970996926782757
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10132-89

c106

name 名前Erik Branger
date 日付March 19, 2022 11:31:53 UTC 2022 年 3 月 19 日 (土) 20 時 31 分 53 秒 (日本時間)
composite number 合成数
1581950106601334343471624735382957693538578280103475429961144935962863696548167515777523678882341417593829<106>
prime factors 素因数
10832530021968898508806020816239599138296421<44>
146036992594810489758623023652789295129821421563115097066085249<63>
factorization results 素因数分解の結果
Number: 87888_132
N = 1581950106601334343471624735382957693538578280103475429961144935962863696548167515777523678882341417593829 (106 digits)
SNFS difficulty: 135 digits.
Divisors found:
r1=10832530021968898508806020816239599138296421 (pp44)
r2=146036992594810489758623023652789295129821421563115097066085249 (pp63)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 2.88 hours.
Factorization parameters were as follows:
n: 1581950106601334343471624735382957693538578280103475429961144935962863696548167515777523678882341417593829
m: 1000000000000000000000000000000000
deg: 4
c4: 791
c0: -8
skew: 0.32
# Murphy_E = 9.388e-09
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 3498765
Relations: 231380 relations
Pruned matrix : 145941 x 146166
Polynomial selection time: 0.00 hours.
Total sieving time: 2.83 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,135,4,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,100000
total time: 2.88 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10137-89

c108

name 名前Erik Branger
date 日付March 19, 2022 17:06:26 UTC 2022 年 3 月 20 日 (日) 2 時 6 分 26 秒 (日本時間)
composite number 合成数
639609462129179316586950712049111821701125150478452842998804484212072727747366263872676486706889495823522553<108>
prime factors 素因数
1302591293140379190295225233361119709<37>
491028510245269336301980866045202063731450368671988680683143260430637517<72>
factorization results 素因数分解の結果
Number: 87888_137
N = 639609462129179316586950712049111821701125150478452842998804484212072727747366263872676486706889495823522553 (108 digits)
SNFS difficulty: 140 digits.
Divisors found:
r1=1302591293140379190295225233361119709 (pp37)
r2=491028510245269336301980866045202063731450368671988680683143260430637517 (pp72)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 7.62 hours.
Factorization parameters were as follows:
n: 639609462129179316586950712049111821701125150478452842998804484212072727747366263872676486706889495823522553
m: 10000000000000000000000000000000000
deg: 4
c4: 3955
c0: -4
skew: 0.18
# Murphy_E = 3.555e-09
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 4027943
Relations: 340378 relations
Pruned matrix : 212856 x 213082
Polynomial selection time: 0.00 hours.
Total sieving time: 7.57 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,140,4,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,100000
total time: 7.62 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10140-89

c125

name 名前Erik Branger
date 日付March 19, 2022 20:21:45 UTC 2022 年 3 月 20 日 (日) 5 時 21 分 45 秒 (日本時間)
composite number 合成数
25822868029646662618840508355690567262238898470023167347876645310943660155672622799138455943543055584395806902588685730961921<125>
prime factors 素因数
391678937666710270131183273150855483892359712391339833<54>
65928661325210211692650485119732420594718539854959937781865636266985737<71>
factorization results 素因数分解の結果
Number: 87888_140
N = 25822868029646662618840508355690567262238898470023167347876645310943660155672622799138455943543055584395806902588685730961921 (125 digits)
SNFS difficulty: 143 digits.
Divisors found:
r1=391678937666710270131183273150855483892359712391339833 (pp54)
r2=65928661325210211692650485119732420594718539854959937781865636266985737 (pp71)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 6.88 hours.
Factorization parameters were as follows:
n: 25822868029646662618840508355690567262238898470023167347876645310943660155672622799138455943543055584395806902588685730961921
m: 100000000000000000000000000000000000
deg: 4
c4: 791
c0: -8
skew: 0.32
# Murphy_E = 3.754e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 4225654
Relations: 305290 relations
Pruned matrix : 191527 x 191752
Polynomial selection time: 0.00 hours.
Total sieving time: 6.80 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,143,4,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 6.88 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10141-89

c136

name 名前Ignacio Santos
date 日付March 20, 2022 10:41:50 UTC 2022 年 3 月 20 日 (日) 19 時 41 分 50 秒 (日本時間)
composite number 合成数
2862279058472156400659550150762136258610032129607122201382225315075770714411247218089105736018812562508773192891612823253349025714946649<136>
prime factors 素因数
4332835028000431348277916317676216736647963411322793917<55>
660601901520602148152440802817988686383030831223626254472048286041024430524885197<81>
factorization results 素因数分解の結果
N=2862279058472156400659550150762136258610032129607122201382225315075770714411247218089105736018812562508773192891612823253349025714946649
  ( 136 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=4332835028000431348277916317676216736647963411322793917 (pp55)
 r2=660601901520602148152440802817988686383030831223626254472048286041024430524885197 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.45 hours.
Scaled time: 74.91 units (timescale=7.930).
Factorization parameters were as follows:
n: 2862279058472156400659550150762136258610032129607122201382225315075770714411247218089105736018812562508773192891612823253349025714946649
m: 100000000000000000000000000000000000
deg: 4
c4: 3955
c0: -4
skew: 0.18
# Murphy_E = 2.242e-09
type: snfs
lss: 1
rlim: 1730000
alim: 1730000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1730000/1730000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [865000, 1865001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 255310 x 255535
Total sieving time: 9.40 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,143.000,4,0,0,0,0,0,0,0,0,1730000,1730000,26,26,48,48,2.3,2.3,100000
total time: 9.45 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10143-89

c101

name 名前Ignacio Santos
date 日付March 16, 2022 14:52:43 UTC 2022 年 3 月 16 日 (水) 23 時 52 分 43 秒 (日本時間)
composite number 合成数
67092553624979463339539804163864807891980552076596399910725492273281386917147827928048307539657653631<101>
prime factors 素因数
12121083732161529233199893354531464799701867920979<50>
5535194303373975541488602268918186190299344811943589<52>
factorization results 素因数分解の結果
prp50 = 12121083732161529233199893354531464799701867920979
prp52 = 5535194303373975541488602268918186190299344811943589
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10144-89

c127

name 名前Ignacio Santos
date 日付March 20, 2022 19:17:43 UTC 2022 年 3 月 21 日 (月) 4 時 17 分 43 秒 (日本時間)
composite number 合成数
1386891172335808457394997703738253882236589938886019599240750991505764054537525989918742183468590541816384432503525161708970187<127>
prime factors 素因数
27093744778203659427875121156233267693193379<44>
51188611382046119534285378886493923998056362125104744521211142884128974818953920953<83>
factorization results 素因数分解の結果
N=1386891172335808457394997703738253882236589938886019599240750991505764054537525989918742183468590541816384432503525161708970187
  ( 127 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=27093744778203659427875121156233267693193379 (pp44)
 r2=51188611382046119534285378886493923998056362125104744521211142884128974818953920953 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.02 hours.
Scaled time: 63.11 units (timescale=7.868).
Factorization parameters were as follows:
n: 1386891172335808457394997703738253882236589938886019599240750991505764054537525989918742183468590541816384432503525161708970187
m: 1000000000000000000000000000000000000
deg: 4
c4: 791
c0: -8
skew: 0.32
# Murphy_E = 2.358e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 1785001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 263629 x 263856
Total sieving time: 7.98 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 8.02 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10146-89

c103

name 名前Ignacio Santos
date 日付March 16, 2022 15:57:39 UTC 2022 年 3 月 17 日 (木) 0 時 57 分 39 秒 (日本時間)
composite number 合成数
2825544513821000580427280843485580533896135702909184497234404541489099781310485893553547152088339774113<103>
prime factors 素因数
2256037076226887812696540249858805440619<40>
1252437091391505956004707600458082658535115319719664885723374627<64>
factorization results 素因数分解の結果
prp40 = 2256037076226887812696540249858805440619
prp64 = 1252437091391505956004707600458082658535115319719664885723374627
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10148-89

c94

name 名前Ignacio Santos
date 日付March 16, 2022 14:25:18 UTC 2022 年 3 月 16 日 (水) 23 時 25 分 18 秒 (日本時間)
composite number 合成数
2468644681634460971803759983812342695726670466526850519362879553204486397805133242125505073369<94>
prime factors 素因数
5679155378860257408863702033627856749183<40>
434685180620976456871173224678955743633093069714149543<54>
factorization results 素因数分解の結果
prp40 = 5679155378860257408863702033627856749183
prp54 = 434685180620976456871173224678955743633093069714149543
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10150-89

c139

name 名前Ignacio Santos
date 日付March 22, 2022 23:19:35 UTC 2022 年 3 月 23 日 (水) 8 時 19 分 35 秒 (日本時間)
composite number 合成数
6008364505745163927717794507801472526442574309746469744881713517215937241689313850218615462485489841177859700679263465424840484343226766577<139>
prime factors 素因数
577987432610291924588214555487619268086511032893<48>
10395320324890704336161521838615541082744548228636631520524373155157648208103575742313198789<92>
factorization results 素因数分解の結果
N=6008364505745163927717794507801472526442574309746469744881713517215937241689313850218615462485489841177859700679263465424840484343226766577
  ( 139 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=577987432610291924588214555487619268086511032893 (pp48)
 r2=10395320324890704336161521838615541082744548228636631520524373155157648208103575742313198789 (pp92)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.09 hours.
Scaled time: 78.49 units (timescale=7.782).
Factorization parameters were as follows:
n: 6008364505745163927717794507801472526442574309746469744881713517215937241689313850218615462485489841177859700679263465424840484343226766577
m: 1000000000000000000000000000000
deg: 5
c5: 791
c0: -8
skew: 0.40
# Murphy_E = 9.511e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 458608 x 458835
Total sieving time: 9.98 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,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 10.09 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 22, 2022 15:01:01 UTC 2022 年 3 月 23 日 (水) 0 時 1 分 1 秒 (日本時間)

791×10152-89

c147

name 名前Bob Backstrom
date 日付March 18, 2022 11:27:05 UTC 2022 年 3 月 18 日 (金) 20 時 27 分 5 秒 (日本時間)
composite number 合成数
149880634380642361644030560157326840724051630001732779298715674170369571006987006944441602207382864627219842095010361128880777220108128399324999773<147>
prime factors 素因数
572907619078151901920512140943057209441682602216289437364424605408753<69>
261613966003473123006051226987672290339347894190778050927648202859973466455341<78>
factorization results 素因数分解の結果
Number: n
N=149880634380642361644030560157326840724051630001732779298715674170369571006987006944441602207382864627219842095010361128880777220108128399324999773  ( 147 digits)
SNFS difficulty: 154 digits.
Divisors found:

Fri Mar 18 22:22:13 2022  p69 factor: 572907619078151901920512140943057209441682602216289437364424605408753
Fri Mar 18 22:22:13 2022  p78 factor: 261613966003473123006051226987672290339347894190778050927648202859973466455341
Fri Mar 18 22:22:13 2022  elapsed time 00:05:39 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 791x10^152-8 = 878(152)
#
n: 149880634380642361644030560157326840724051630001732779298715674170369571006987006944441602207382864627219842095010361128880777220108128399324999773
m: 100000000000000000000000000000000000000
deg: 4
c4: 791
c0: -8
skew: 0.32
# Murphy_E = 9.179e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2016352 hash collisions in 15805522 relations (15234372 unique)
Msieve: matrix is 330926 x 331152 (110.5 MB)

Sieving start time : 2022/03/18 21:19:11
Sieving end time  : 2022/03/18 22:15:56

Total sieving time: 0hrs 56min 45secs.
Total relation processing time: 0hrs 1min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,154,4,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10154-89

c145

name 名前Bob Backstrom
date 日付March 18, 2022 18:18:28 UTC 2022 年 3 月 19 日 (土) 3 時 18 分 28 秒 (日本時間)
composite number 合成数
1747830027533828257959034535635314672930538897602065697840903838690705523285669561974888714342148562307586513454974442248245714465449946199493809<145>
prime factors 素因数
478510151929372225828554511410823367138121013552247994631<57>
3652649835090242318702479222108732601977261429969334477370051607589220321294523683567239<88>
factorization results 素因数分解の結果
Number: n
N=1747830027533828257959034535635314672930538897602065697840903838690705523285669561974888714342148562307586513454974442248245714465449946199493809  ( 145 digits)
SNFS difficulty: 156 digits.
Divisors found:

Sat Mar 19 05:14:33 2022  p57 factor: 478510151929372225828554511410823367138121013552247994631
Sat Mar 19 05:14:33 2022  p88 factor: 3652649835090242318702479222108732601977261429969334477370051607589220321294523683567239
Sat Mar 19 05:14:33 2022  elapsed time 00:08:08 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
#
# N = 791x10^154-8 = 878(154)
#
n: 1747830027533828257959034535635314672930538897602065697840903838690705523285669561974888714342148562307586513454974442248245714465449946199493809
m: 5000000000000000000000000000000
deg: 5
c5: 1582
c0: -5
skew: 0.32
# Murphy_E = 7.158e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 50250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1039785 hash collisions in 15925929 relations (15630548 unique)
Msieve: matrix is 534411 x 534658 (109.5 MB)

Sieving start time : 2022/03/19 00:12:10
Sieving end time  : 2022/03/19 05:03:25

Total sieving time: 4hrs 51min 15secs.

Total relation processing time: 0hrs 2min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10155-89

c103

name 名前Ignacio Santos
date 日付March 16, 2022 16:12:36 UTC 2022 年 3 月 17 日 (木) 1 時 12 分 36 秒 (日本時間)
composite number 合成数
3160678015560295564575227810856260851612768929066720657417814176888987117098157381097395254852688765497<103>
prime factors 素因数
38132834376924901893371260964226160090513<41>
82885997519054027858815178191216783027900671128833564453897769<62>
factorization results 素因数分解の結果
prp62 = 82885997519054027858815178191216783027900671128833564453897769
prp41 = 38132834376924901893371260964226160090513
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10158-89

c136

name 名前Ignacio Santos
date 日付March 24, 2022 20:54:40 UTC 2022 年 3 月 25 日 (金) 5 時 54 分 40 秒 (日本時間)
composite number 合成数
1419552821503946602029569000188182220840575160512691973793682376651215144233676675892296574364590934123995217319433130238658275027426649<136>
prime factors 素因数
4622848924180791673524619551654736234813852153339991978117<58>
307073158735228080269260377988256606828995943137241341825993126960375151532997<78>
factorization results 素因数分解の結果
N=1419552821503946602029569000188182220840575160512691973793682376651215144233676675892296574364590934123995217319433130238658275027426649
  ( 136 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=4622848924180791673524619551654736234813852153339991978117 (pp58)
 r2=307073158735228080269260377988256606828995943137241341825993126960375151532997 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.82 hours.
Scaled time: 147.42 units (timescale=7.831).
Factorization parameters were as follows:
n: 1419552821503946602029569000188182220840575160512691973793682376651215144233676675892296574364590934123995217319433130238658275027426649
m: 10000000000000000000000000000000
deg: 5
c5: 98875
c0: -1
skew: 0.10
# Murphy_E = 4.456e-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, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 559689 x 559915
Total sieving time: 18.72 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 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: 18.82 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 21, 2022 17:30:25 UTC 2022 年 3 月 22 日 (火) 2 時 30 分 25 秒 (日本時間)

791×10165-89

c151

name 名前Bob Backstrom
date 日付March 19, 2022 18:25:24 UTC 2022 年 3 月 20 日 (日) 3 時 25 分 24 秒 (日本時間)
composite number 合成数
2045159029030423566083826159436977400065227558705981289253632882419351812082636236296109327930644968418239022834684789923593659177258852578322838930381<151>
prime factors 素因数
138501479026998843045004286832662903<36>
14766333496205839402405047946081673692514838758775985746549012782932539949427566819711805021822585147232889733144027<116>
factorization results 素因数分解の結果
Number: n
N=2045159029030423566083826159436977400065227558705981289253632882419351812082636236296109327930644968418239022834684789923593659177258852578322838930381  ( 151 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Mar 20 05:14:04 2022  p36 factor: 138501479026998843045004286832662903
Sun Mar 20 05:14:04 2022  p116 factor: 14766333496205839402405047946081673692514838758775985746549012782932539949427566819711805021822585147232889733144027
Sun Mar 20 05:14:04 2022  elapsed time 00:11:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 791x10^165-8 = 878(165)
#
n: 2045159029030423566083826159436977400065227558705981289253632882419351812082636236296109327930644968418239022834684789923593659177258852578322838930381
m: 1000000000000000000000000000000000
deg: 5
c5: 791
c0: -8
skew: 0.40
# Murphy_E = 2.495e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 43800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1709450 hash collisions in 15955876 relations (15259667 unique)
Msieve: matrix is 689872 x 690098 (232.2 MB)

Sieving start time : 2022/03/20 00:07:34
Sieving end time  : 2022/03/20 04:59:02

Total sieving time: 4hrs 51min 28secs.

Total relation processing time: 0hrs 6min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 42sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10167-89

c130

name 名前Ignacio Santos
date 日付April 9, 2022 22:16:20 UTC 2022 年 4 月 10 日 (日) 7 時 16 分 20 秒 (日本時間)
composite number 合成数
1917497314375702211068211447872295300416844653509064010678384162405797560502273884170876182808002993242223709386889785028895693647<130>
prime factors 素因数
1977993820874017868443951994344345783732915189<46>
969415219673646901046397155837948307966650032547991811815803137064863351057138508723<84>
factorization results 素因数分解の結果
N=1917497314375702211068211447872295300416844653509064010678384162405797560502273884170876182808002993242223709386889785028895693647
  ( 130 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=1977993820874017868443951994344345783732915189 (pp46)
 r2=969415219673646901046397155837948307966650032547991811815803137064863351057138508723 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 38.80 hours.
Scaled time: 305.71 units (timescale=7.880).
Factorization parameters were as follows:
n: 1917497314375702211068211447872295300416844653509064010678384162405797560502273884170876182808002993242223709386889785028895693647
m: 1000000000000000000000000000000000
deg: 5
c5: 19775
c0: -2
skew: 0.16
# Murphy_E = 1.962e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 985703 x 985928
Total sieving time: 38.52 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 38.80 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 19, 2022 18:02:02 UTC 2022 年 3 月 20 日 (日) 3 時 2 分 2 秒 (日本時間)

791×10168-89

c148

name 名前Ignacio Santos
date 日付April 10, 2022 20:40:13 UTC 2022 年 4 月 11 日 (月) 5 時 40 分 13 秒 (日本時間)
composite number 合成数
3558632417812270303231321391579856824004641819005846234366627893491676560384880112301419583924266744608853000341593823943220533212521557357953058399<148>
prime factors 素因数
20524294756535177073130769701887054307187474071327571999<56>
173386343356775260077189457254200860320088208910341982280115177551495143341589325784753713601<93>
factorization results 素因数分解の結果
N=3558632417812270303231321391579856824004641819005846234366627893491676560384880112301419583924266744608853000341593823943220533212521557357953058399
  ( 148 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=20524294756535177073130769701887054307187474071327571999 (pp56)
 r2=173386343356775260077189457254200860320088208910341982280115177551495143341589325784753713601 (pp93)
Version: Msieve v. 1.52 (SVN 927)
Total time: 38.07 hours.
Scaled time: 297.68 units (timescale=7.819).
Factorization parameters were as follows:
n: 3558632417812270303231321391579856824004641819005846234366627893491676560384880112301419583924266744608853000341593823943220533212521557357953058399
m: 1000000000000000000000000000000000
deg: 5
c5: 98875
c0: -1
skew: 0.10
# Murphy_E = 1.812e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 5400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 955945 x 956170
Total sieving time: 37.85 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 38.07 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 19, 2022 18:15:54 UTC 2022 年 3 月 20 日 (日) 3 時 15 分 54 秒 (日本時間)

791×10169-89

c115

name 名前Eric Jeancolas
date 日付March 18, 2022 12:24:42 UTC 2022 年 3 月 18 日 (金) 21 時 24 分 42 秒 (日本時間)
composite number 合成数
3415126130213756911235073789056013037998811981726744298977504587849590981647999466213566724348644975923632002730279<115>
prime factors 素因数
451149575224740114073143989219344968499086954802975961<54>
7569831199580565234771401822454713327213542026945670012259839<61>
factorization results 素因数分解の結果
3415126130213756911235073789056013037998811981726744298977504587849590981647999466213566724348644975923632002730279=451149575224740114073143989219344968499086954802975961*7569831199580565234771401822454713327213542026945670012259839

cado polynomial
n: 3415126130213756911235073789056013037998811981726744298977504587849590981647999466213566724348644975923632002730279
skew: 12581.207
c0: -3659675372755491514042800
c1: 7183087554754902377188
c2: 799244576675918757
c3: -96059212767831
c4: -1778550200
c5: 96600
Y0: -12923295288692152565161
Y1: 12822561212816029
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.136e-06
# f(x) = 96600*x^5-1778550200*x^4-96059212767831*x^3+799244576675918757*x^2+7183087554754902377188*x-3659675372755491514042800
# g(x) = 12822561212816029*x-12923295288692152565161

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: 7569831199580565234771401822454713327213542026945670012259839 451149575224740114073143989219344968499086954802975961
Info:Square Root: Total cpu/real time for sqrt: 141.03/42.1754
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.15/103.263
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7049970
Info:Lattice Sieving: Average J: 1895.65 for 138195 special-q, max bucket fill -bkmult 1.0,1s:1.263560
Info:Lattice Sieving: Total time: 15731.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 63.55/16.837
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/1.1289
Info:Linear Algebra: Total cpu/real time for bwc: 2635.43/678.95
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1634.99, WCT time 418.13, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13952 iterations)
Info:Linear Algebra: Lingen CPU time 68.81, WCT time 17.5
Info:Linear Algebra: Mksol: CPU time 893.74,  WCT time 227.93, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.85/31.1168
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.199999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 363.84
Info:Polynomial Selection (root optimized): Rootsieve time: 362.75
Info:Filtering - Merging: Merged matrix has 441989 rows and total weight 68667904 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 72.31/21.5261
Info:Filtering - Merging: Total cpu/real time for replay: 15/12.1725
Info:Quadratic Characters: Total cpu/real time for characters: 16.19/6.33153
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): 21643/33.610/40.846/47.220/1.070
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16969/32.190/36.149/41.300/0.825
Info:Polynomial Selection (size optimized): Total time: 1782.63
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 116.29/125.403
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 93.2s
Info:Square Root: Total cpu/real time for sqrt: 141.03/42.1754
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 34143.5/9375.36
Info:root: Cleaning up computation data in /tmp/cado.jm6mrc3w
7569831199580565234771401822454713327213542026945670012259839 451149575224740114073143989219344968499086954802975961
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10171-89

c168

name 名前Bob Backstrom
date 日付March 21, 2022 12:13:56 UTC 2022 年 3 月 21 日 (月) 21 時 13 分 56 秒 (日本時間)
composite number 合成数
107318730388214314012162970343669578789585822965068635144537028896551798992967706152361663307359758433814056121590629107553176363069983208892448994432993495209595786919<168>
prime factors 素因数
134417804647069996647062104057522556800878325168534229785466081317<66>
798396690602055737358016087557211002502810785891347503537752917608629426759180069341089154991681158107<102>
factorization results 素因数分解の結果
Number: n
N=107318730388214314012162970343669578789585822965068635144537028896551798992967706152361663307359758433814056121590629107553176363069983208892448994432993495209595786919  ( 168 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Mar 21 23:10:29 2022  p66 factor: 134417804647069996647062104057522556800878325168534229785466081317
Mon Mar 21 23:10:29 2022  p102 factor: 798396690602055737358016087557211002502810785891347503537752917608629426759180069341089154991681158107
Mon Mar 21 23:10:29 2022  elapsed time 00:13:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
#
# N = 791x10^171-8 = 878(171)
#
n: 107318730388214314012162970343669578789585822965068635144537028896551798992967706152361663307359758433814056121590629107553176363069983208892448994432993495209595786919
m: 10000000000000000000000000000000000
deg: 5
c5: 3955
c0: -4
skew: 0.25
# Murphy_E = 1.406e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2251850 hash collisions in 15763027 relations (14335301 unique)
Msieve: matrix is 780590 x 780816 (268.2 MB)

Sieving start time : 2022/03/21 21:27:36
Sieving end time  : 2022/03/21 22:56:27

Total relation processing time: 0hrs 8min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 56sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)
Total sieving time: 1hrs 28min 51secs.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 20, 2022 17:34:59 UTC 2022 年 3 月 21 日 (月) 2 時 34 分 59 秒 (日本時間)

791×10173-89

c148

name 名前Ignacio Santos
date 日付March 20, 2022 18:02:44 UTC 2022 年 3 月 21 日 (月) 3 時 2 分 44 秒 (日本時間)
composite number 合成数
2597685111360452960302382487370460207716992772494507656654606286732339479827716955522781647186931829116454917028953334057879241375622120064615890693<148>
prime factors 素因数
93580707866096372019843152739933827237<38>
27758767491665618042706484363654170490460822541536320897664557392127521514248696899481744435453778597369521889<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1452709315
Step 1 took 5875ms
Step 2 took 3329ms
********** Factor found in step 2: 93580707866096372019843152739933827237
Found prime factor of 38 digits: 93580707866096372019843152739933827237
Prime cofactor 27758767491665618042706484363654170490460822541536320897664557392127521514248696899481744435453778597369521889 has 110 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10174-89

c166

name 名前Bob Backstrom
date 日付March 22, 2022 02:16:50 UTC 2022 年 3 月 22 日 (火) 11 時 16 分 50 秒 (日本時間)
composite number 合成数
3133787118379509224100869741502271738666510611896696456763324429223727728639629690879439431294209863937308862505029454564329226054255365757994663451587383089763879151<166>
prime factors 素因数
154244380141306977444135656387275593597238904807943412997179<60>
20317026237899699527270067072060103518625387744671566943045059364588738885728673629297450190874443344322269<107>
factorization results 素因数分解の結果
Number: n
N=3133787118379509224100869741502271738666510611896696456763324429223727728639629690879439431294209863937308862505029454564329226054255365757994663451587383089763879151  ( 166 digits)
SNFS difficulty: 176 digits.
Divisors found:

Tue Mar 22 13:11:07 2022  p60 factor: 154244380141306977444135656387275593597238904807943412997179
Tue Mar 22 13:11:07 2022  p107 factor: 20317026237899699527270067072060103518625387744671566943045059364588738885728673629297450190874443344322269
Tue Mar 22 13:11:07 2022  elapsed time 00:20:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 791x10^174-8 = 878(174)
#
n: 3133787118379509224100869741502271738666510611896696456763324429223727728639629690879439431294209863937308862505029454564329226054255365757994663451587383089763879151
m: 50000000000000000000000000000000000
deg: 5
c5: 1582
c0: -5
skew: 0.32
# Murphy_E = 1.173e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4834883 hash collisions in 35922744 relations (32286857 unique)
Msieve: matrix is 843527 x 843752 (283.6 MB)

Sieving start time : 2022/03/22 10:20:34
Sieving end time  : 2022/03/22 12:47:58

Total sieving time: 2hrs 27min 24secs.

Total relation processing time: 0hrs 10min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 44sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 20, 2022 16:27:27 UTC 2022 年 3 月 21 日 (月) 1 時 27 分 27 秒 (日本時間)

791×10175-89

c172

name 名前Bob Backstrom
date 日付March 23, 2022 05:35:59 UTC 2022 年 3 月 23 日 (水) 14 時 35 分 59 秒 (日本時間)
composite number 合成数
2284442226427213223079393464704645590882100831987505169597452976879480799133124932130983159242085028614732717371464746233413967501426693375290825957270822214366744528313221<172>
prime factors 素因数
36644637831096280752141466882009591173981931517589510839<56>
62340423091551417228559090575701142843232500397536968682532166826973876112477550496941736107139219246137479070789539<116>
factorization results 素因数分解の結果
Number: n
N=2284442226427213223079393464704645590882100831987505169597452976879480799133124932130983159242085028614732717371464746233413967501426693375290825957270822214366744528313221  ( 172 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Mar 23 16:31:30 2022  p56 factor: 36644637831096280752141466882009591173981931517589510839
Wed Mar 23 16:31:30 2022  p116 factor: 62340423091551417228559090575701142843232500397536968682532166826973876112477550496941736107139219246137479070789539
Wed Mar 23 16:31:30 2022  elapsed time 00:22:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 791x10^175-8 = 878(175)
#
n: 2284442226427213223079393464704645590882100831987505169597452976879480799133124932130983159242085028614732717371464746233413967501426693375290825957270822214366744528313221
m: 100000000000000000000000000000000000
deg: 5
c5: 791
c0: -8
skew: 0.40
# Murphy_E = 9.98e-11
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4468607 hash collisions in 30999339 relations (28103466 unique)
Msieve: matrix is 961498 x 961723 (325.3 MB)

Sieving start time : 2022/03/23 13:27:11
Sieving end time  : 2022/03/23 16:07:47

Total sieving time: 2hrs 40min 36secs.

Total relation processing time: 0hrs 14min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 0sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 21, 2022 17:17:00 UTC 2022 年 3 月 22 日 (火) 2 時 17 分 0 秒 (日本時間)

791×10178-89

c123

name 名前Ignacio Santos
date 日付March 21, 2022 16:01:16 UTC 2022 年 3 月 22 日 (火) 1 時 1 分 16 秒 (日本時間)
composite number 合成数
160017482398259051171893873905752147944476544043833827283862563733586149358013277759263345901644851478254639160133787064133<123>
prime factors 素因数
2388628643938219669288538794337573360363261883640003<52>
66991360421112742702888273733400275920646409513088072673304733719674711<71>
factorization results 素因数分解の結果
prp52 = 2388628643938219669288538794337573360363261883640003
prp71 = 66991360421112742702888273733400275920646409513088072673304733719674711
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 18, 2022 22:59:39 UTC 2022 年 3 月 19 日 (土) 7 時 59 分 39 秒 (日本時間)

791×10179-89

c102

name 名前Eric Jeancolas
date 日付March 16, 2022 21:23:46 UTC 2022 年 3 月 17 日 (木) 6 時 23 分 46 秒 (日本時間)
composite number 合成数
281878343086411700992308994419552722567095379978009390477312541145030623211575748276379822060951450711<102>
prime factors 素因数
90949555240279011728067901716701662808459<41>
3099282259728694907395260175615092803099962012214801579270629<61>
factorization results 素因数分解の結果
281878343086411700992308994419552722567095379978009390477312541145030623211575748276379822060951450711=90949555240279011728067901716701662808459*3099282259728694907395260175615092803099962012214801579270629

cado polynomial
n: 281878343086411700992308994419552722567095379978009390477312541145030623211575748276379822060951450711
skew: 142131.989
c0: -202139938287762147053725446
c1: 847834965053624916009
c2: -5066642488029606
c3: 84698757884
c4: 670560
Y0: -805203319405096058192459
Y1: 27011655594989
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.112e-06
# f(x) = 670560*x^4+84698757884*x^3-5066642488029606*x^2+847834965053624916009*x-202139938287762147053725446
# g(x) = 27011655594989*x-805203319405096058192459

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 90949555240279011728067901716701662808459 3099282259728694907395260175615092803099962012214801579270629
Info:Square Root: Total cpu/real time for sqrt: 47/14.4351
Info:Filtering - Singleton removal: Total cpu/real time for purge: 21.3/23.772
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2494951
Info:Lattice Sieving: Average J: 969.71 for 125966 special-q, max bucket fill -bkmult 1.0,1s:1.326830
Info:Lattice Sieving: Total time: 4364.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.78/0.216611
Info:Linear Algebra: Total cpu/real time for bwc: 572.27/149.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 338.84, WCT time 87.02, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 28.68, WCT time 7.33
Info:Linear Algebra: Mksol: CPU time 186.86,  WCT time 48.05, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 23.93/6.68661
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.49/9.5739
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 64.82
Info:Polynomial Selection (root optimized): Rootsieve time: 64.43
Info:Filtering - Merging: Merged matrix has 210334 rows and total weight 35805725 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.79/12.0663
Info:Filtering - Merging: Total cpu/real time for replay: 7.13/5.85673
Info:Quadratic Characters: Total cpu/real time for characters: 6.84/2.70576
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5866/34.550/38.730/39.560/0.676
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3365/33.810/37.243/39.540/0.981
Info:Polynomial Selection (size optimized): Total time: 103.75
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 30.43/32.4826
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 23.3s
Info:Square Root: Total cpu/real time for sqrt: 47/14.4351
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8655.31/2495.66
Info:root: Cleaning up computation data in /tmp/cado.f80n7etx
90949555240279011728067901716701662808459 3099282259728694907395260175615092803099962012214801579270629
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10180-89

c177

name 名前Bob Backstrom
date 日付March 24, 2022 12:01:37 UTC 2022 年 3 月 24 日 (木) 21 時 1 分 37 秒 (日本時間)
composite number 合成数
213866555921102437483912692696200259127316301876834493782458508265901830113708873272033933133039598028209836888222685104072711384514222801906034984350700054723882324186009287919<177>
prime factors 素因数
4834992100289902396351117436887016724412454524437244657537<58>
44233072461127529821498405739111266801917142140589777778210160679341209763202866472515798847944965602220071425481880687<119>
factorization results 素因数分解の結果
Number: n
N=213866555921102437483912692696200259127316301876834493782458508265901830113708873272033933133039598028209836888222685104072711384514222801906034984350700054723882324186009287919  ( 177 digits)
SNFS difficulty: 182 digits.
Divisors found:

Thu Mar 24 22:57:45 2022  p58 factor: 4834992100289902396351117436887016724412454524437244657537
Thu Mar 24 22:57:45 2022  p119 factor: 44233072461127529821498405739111266801917142140589777778210160679341209763202866472515798847944965602220071425481880687
Thu Mar 24 22:57:45 2022  elapsed time 00:23:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 791x10^180-8 = 878(180)
#
n: 213866555921102437483912692696200259127316301876834493782458508265901830113708873272033933133039598028209836888222685104072711384514222801906034984350700054723882324186009287919
m: 1000000000000000000000000000000000000
deg: 5
c5: 791
c0: -8
skew: 0.40
# Murphy_E = 6.269e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3745466 hash collisions in 30807935 relations (28846226 unique)
Msieve: matrix is 952089 x 952319 (324.2 MB)

Sieving start time : 2022/03/24 18:37:33
Sieving end time  : 2022/03/24 22:33:34

Total sieving time: 3hrs 56min 1secs.

Total relation processing time: 0hrs 13min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 5sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62400ebinaMarch 20, 2022 13:51:08 UTC 2022 年 3 月 20 日 (日) 22 時 51 分 8 秒 (日本時間)

791×10181-89

c163

name 名前ebina
date 日付March 20, 2022 13:58:02 UTC 2022 年 3 月 20 日 (日) 22 時 58 分 2 秒 (日本時間)
composite number 合成数
4974988964773255986912757767396946831957690991948629962107180574083078415702064971927176523787862651302820736317951772700195038805806202668377273214984398762948393<163>
prime factors 素因数
56787131859080803644172268995527407927<38>
87607681562767777519302419765906545217347509236769044195217080161409308299579156733935796244383769936119630660807551386944159<125>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 4974988964773255986912757767396946831957690991948629962107180574083078415702064971927176523787862651302820736317951772700195038805806202668377273214984398762948393 (163 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:871197690
Step 1 took 7891ms
Step 2 took 5594ms
********** Factor found in step 2: 56787131859080803644172268995527407927
Found probable prime factor of 38 digits: 56787131859080803644172268995527407927
Probable prime cofactor 87607681562767777519302419765906545217347509236769044195217080161409308299579156733935796244383769936119630660807551386944159 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10183-89

c184

name 名前Bob Backstrom
date 日付March 25, 2022 08:28:41 UTC 2022 年 3 月 25 日 (金) 17 時 28 分 41 秒 (日本時間)
composite number 合成数
3662037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<184>
prime factors 素因数
6510739447339023398804026599954413<34>
457278793099427965820454703659503259844155623567<48>
1230017685184794739510701452911689168627167003868137995375690342378846795085149362116905811093505192047<103>
factorization results 素因数分解の結果
Number: n
N=3662037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037  ( 184 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Mar 25 19:12:04 2022  found factor: 2977223076664025260839773492668292102794675704068493232517180421446939359788451171
Fri Mar 25 19:18:07 2022  p34 factor: 6510739447339023398804026599954413
Fri Mar 25 19:18:07 2022  p48 factor: 457278793099427965820454703659503259844155623567
Fri Mar 25 19:18:07 2022  p103 factor: 1230017685184794739510701452911689168627167003868137995375690342378846795085149362116905811093505192047
Fri Mar 25 19:18:07 2022  elapsed time 00:36:50 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 791x10^183-8 = 878(183)
#
n: 3662037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 1000000000000000000000000000000000000
deg: 5
c5: 98875
c0: -1
skew: 0.10
# Murphy_E = 4.534e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3661237 hash collisions in 30497126 relations (28604049 unique)
Msieve: matrix is 1070245 x 1070471 (368.4 MB)

Sieving start time : 2022/03/25 14:37:13
Sieving end time  : 2022/03/25 18:40:05

Total sieving time: 4hrs 2min 52secs.

Total relation processing time: 0hrs 18min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 36sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

NEWTON ITERATION FAILED TWICE

Fri Mar 25 19:07:31 2022  commencing square root phase
Fri Mar 25 19:07:31 2022  reading relations for dependency 1
Fri Mar 25 19:07:31 2022  read 534809 cycles
Fri Mar 25 19:07:32 2022  cycles contain 1562994 unique relations
Fri Mar 25 19:07:38 2022  read 1562994 relations
Fri Mar 25 19:07:43 2022  multiplying 1562994 relations
Fri Mar 25 19:08:17 2022  multiply complete, coefficients have about 59.94 million bits
Fri Mar 25 19:08:18 2022  initial square root is modulo 402676991
Fri Mar 25 19:09:02 2022  Newton iteration failed to converge                                        <<<===========================
Fri Mar 25 19:09:02 2022  algebraic square root failed
Fri Mar 25 19:09:02 2022  reading relations for dependency 2
Fri Mar 25 19:09:03 2022  read 534792 cycles
Fri Mar 25 19:09:03 2022  cycles contain 1562930 unique relations
Fri Mar 25 19:09:10 2022  read 1562930 relations
Fri Mar 25 19:09:14 2022  multiplying 1562930 relations
Fri Mar 25 19:09:48 2022  multiply complete, coefficients have about 59.94 million bits
Fri Mar 25 19:09:48 2022  initial square root is modulo 402428791
Fri Mar 25 19:10:33 2022  GCD is 1, no factor found
Fri Mar 25 19:10:33 2022  reading relations for dependency 3
Fri Mar 25 19:10:33 2022  read 535679 cycles
Fri Mar 25 19:10:34 2022  cycles contain 1566518 unique relations
Fri Mar 25 19:10:41 2022  read 1566518 relations
Fri Mar 25 19:10:45 2022  multiplying 1566518 relations
Fri Mar 25 19:11:19 2022  multiply complete, coefficients have about 60.07 million bits
Fri Mar 25 19:11:19 2022  initial square root is modulo 421110971
Fri Mar 25 19:12:04 2022  found factor: 2977223076664025260839773492668292102794675704068493232517180421446939359788451171
Fri Mar 25 19:12:04 2022  reading relations for dependency 4
Fri Mar 25 19:12:04 2022  read 535848 cycles
Fri Mar 25 19:12:05 2022  cycles contain 1566328 unique relations
Fri Mar 25 19:12:11 2022  read 1566328 relations
Fri Mar 25 19:12:15 2022  multiplying 1566328 relations
Fri Mar 25 19:12:50 2022  multiply complete, coefficients have about 60.06 million bits
Fri Mar 25 19:12:50 2022  initial square root is modulo 419888701                                        <<<===========================
Fri Mar 25 19:13:35 2022  Newton iteration failed to converge                    
Fri Mar 25 19:13:35 2022  algebraic square root failed
Fri Mar 25 19:13:35 2022  reading relations for dependency 5
Fri Mar 25 19:13:35 2022  read 534835 cycles
Fri Mar 25 19:13:36 2022  cycles contain 1563116 unique relations
Fri Mar 25 19:13:42 2022  read 1563116 relations
Fri Mar 25 19:13:46 2022  multiplying 1563116 relations
Fri Mar 25 19:14:21 2022  multiply complete, coefficients have about 59.94 million bits
Fri Mar 25 19:14:21 2022  initial square root is modulo 403473331
Fri Mar 25 19:15:06 2022  GCD is 1, no factor found
Fri Mar 25 19:15:06 2022  reading relations for dependency 6
Fri Mar 25 19:15:06 2022  read 534849 cycles
Fri Mar 25 19:15:06 2022  cycles contain 1564202 unique relations
Fri Mar 25 19:15:13 2022  read 1564202 relations
Fri Mar 25 19:15:17 2022  multiplying 1564202 relations
Fri Mar 25 19:15:52 2022  multiply complete, coefficients have about 59.98 million bits
Fri Mar 25 19:15:52 2022  initial square root is modulo 408591431
Fri Mar 25 19:16:37 2022  GCD is 1, no factor found
Fri Mar 25 19:16:37 2022  reading relations for dependency 7
Fri Mar 25 19:16:37 2022  read 535693 cycles
Fri Mar 25 19:16:37 2022  cycles contain 1566846 unique relations
Fri Mar 25 19:16:44 2022  read 1566846 relations
Fri Mar 25 19:16:48 2022  multiplying 1566846 relations
Fri Mar 25 19:17:22 2022  multiply complete, coefficients have about 60.08 million bits
Fri Mar 25 19:17:23 2022  initial square root is modulo 422642281
Fri Mar 25 19:18:07 2022  sqrtTime: 636
Fri Mar 25 19:18:07 2022  p34 factor: 6510739447339023398804026599954413
Fri Mar 25 19:18:07 2022  p48 factor: 457278793099427965820454703659503259844155623567
Fri Mar 25 19:18:07 2022  p103 factor: 1230017685184794739510701452911689168627167003868137995375690342378846795085149362116905811093505192047
Fri Mar 25 19:18:07 2022  elapsed time 00:36:50

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10185-89

c146

name 名前Bob Backstrom
date 日付May 7, 2022 23:50:40 UTC 2022 年 5 月 8 日 (日) 8 時 50 分 40 秒 (日本時間)
composite number 合成数
58154303999059767289136128096584496282988596106575834626746362425236979175123070601773652356840876851814734338386096433137951515766079062094032983<146>
prime factors 素因数
402777203038550779102056297465647894264288630889154224861157219912733<69>
144383305610009110591445219157000040444732291534989887597639162728357591989251<78>
factorization results 素因数分解の結果
Number: n
N=58154303999059767289136128096584496282988596106575834626746362425236979175123070601773652356840876851814734338386096433137951515766079062094032983  ( 146 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun May  8 09:46:53 2022  p69 factor: 402777203038550779102056297465647894264288630889154224861157219912733
Sun May  8 09:46:53 2022  p78 factor: 144383305610009110591445219157000040444732291534989887597639162728357591989251
Sun May  8 09:46:53 2022  elapsed time 00:33:46 (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 = 791x10^185-8 = 878(185)
#
n: 58154303999059767289136128096584496282988596106575834626746362425236979175123070601773652356840876851814734338386096433137951515766079062094032983
m: 10000000000000000000000000000000000000
deg: 5
c5: 791
c0: -8
skew: 0.40
# Murphy_E = 3.921e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3514693 hash collisions in 29507568 relations (27693198 unique)
Msieve: matrix is 1180613 x 1180838 (408.1 MB)

Sieving start time : 2022/05/08 05:22:11
Sieving end time  : 2022/05/08 09:12:32

Total sieving time: 3hrs 50min 21secs.

Total relation processing time: 0hrs 23min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 58sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 26, 2022 20:49:23 UTC 2022 年 3 月 27 日 (日) 5 時 49 分 23 秒 (日本時間)

791×10187-89

c180

name 名前Bob Backstrom
date 日付March 29, 2022 20:38:16 UTC 2022 年 3 月 30 日 (水) 5 時 38 分 16 秒 (日本時間)
composite number 合成数
865339970220910105146809956078423765639880032224656612817385182445911943759040488916321763158996066059910671377151249059543925638409299973676248707653590845415691349753504747873833<180>
prime factors 素因数
3656022333178075078865498577997193128469193569<46>
16754854213690726918479088595228945594850660686599539683<56>
14126587732755015805297008705903450941121534454854470982371307303289392161434979<80>
factorization results 素因数分解の結果
Number: n
N=865339970220910105146809956078423765639880032224656612817385182445911943759040488916321763158996066059910671377151249059543925638409299973676248707653590845415691349753504747873833  ( 180 digits)
SNFS difficulty: 189 digits.
Divisors found:

Wed Mar 30 07:30:34 2022  found factor: 16754854213690726918479088595228945594850660686599539683
Wed Mar 30 07:32:26 2022  found factor: 16754854213690726918479088595228945594850660686599539683
Wed Mar 30 07:34:18 2022  p46 factor: 3656022333178075078865498577997193128469193569
Wed Mar 30 07:34:18 2022  p56 factor: 16754854213690726918479088595228945594850660686599539683
Wed Mar 30 07:34:18 2022  p80 factor: 14126587732755015805297008705903450941121534454854470982371307303289392161434979
Wed Mar 30 07:34:18 2022  elapsed time 00:44:08 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 791x10^187-8 = 878(187)
#
n: 865339970220910105146809956078423765639880032224656612817385182445911943759040488916321763158996066059910671377151249059543925638409299973676248707653590845415691349753504747873833
m: 10000000000000000000000000000000000000
deg: 5
c5: 19775
c0: -2
skew: 0.16
# Murphy_E = 3.073e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3996795 hash collisions in 30465540 relations (28128967 unique)
Msieve: matrix is 1281874 x 1282101 (444.1 MB)

Sieving start time : 2022/03/30 01:21:29
Sieving end time  : 2022/03/30 06:49:39

Total sieving time: 5hrs 28min 10secs.

Total relation processing time: 0hrs 28min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 28sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2022 20:14:59 UTC 2022 年 3 月 29 日 (火) 5 時 14 分 59 秒 (日本時間)

791×10188-89

c112

name 名前Eric Jeancolas
date 日付March 17, 2022 13:04:25 UTC 2022 年 3 月 17 日 (木) 22 時 4 分 25 秒 (日本時間)
composite number 合成数
1843352556234537739414437840016496494493853837657442271170003387883698948837717982433055802042431854502242168583<112>
prime factors 素因数
56970218484622483759476441089310860455667596549<47>
32356424203149215200633896991585096639322601853511076363951610267<65>
factorization results 素因数分解の結果
1843352556234537739414437840016496494493853837657442271170003387883698948837717982433055802042431854502242168583=56970218484622483759476441089310860455667596549*32356424203149215200633896991585096639322601853511076363951610267

cado polynomial
n: 1843352556234537739414437840016496494493853837657442271170003387883698948837717982433055802042431854502242168583
skew: 28779.246
c0: 123058072556075978872830440
c1: 10626991287152670633743
c2: 143295592853294176
c3: -6323528653673
c4: -514700346
c5: 8520
Y0: -3432380298746397827778
Y1: 5120710634858731
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.502e-06
# f(x) = 8520*x^5-514700346*x^4-6323528653673*x^3+143295592853294176*x^2+10626991287152670633743*x+123058072556075978872830440
# g(x) = 5120710634858731*x-3432380298746397827778

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: 32356424203149215200633896991585096639322601853511076363951610267 56970218484622483759476441089310860455667596549
Info:Square Root: Total cpu/real time for sqrt: 80.46/24.205
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.83/77.0863
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5418045
Info:Lattice Sieving: Average J: 1911.73 for 102146 special-q, max bucket fill -bkmult 1.0,1s:1.259140
Info:Lattice Sieving: Total time: 13296.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.35/1.89049
Info:Linear Algebra: Total cpu/real time for bwc: 1162.41/300.48
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 704.91, WCT time 180.15, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Linear Algebra: Lingen CPU time 45.36, WCT time 11.55
Info:Linear Algebra: Mksol: CPU time 387.54,  WCT time 98.97, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.2/40.9545
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.49/22.3084
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.399999999999995s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 276.76
Info:Polynomial Selection (root optimized): Rootsieve time: 275.76
Info:Filtering - Merging: Merged matrix has 299304 rows and total weight 46734900 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.97/14.0888
Info:Filtering - Merging: Total cpu/real time for replay: 9.91/8.08042
Info:Quadratic Characters: Total cpu/real time for characters: 11.04/4.27988
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): 11978/32.430/39.638/45.300/1.125
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9441/31.750/35.075/40.040/0.909
Info:Polynomial Selection (size optimized): Total time: 708.96
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 93.57/99.7788
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.7s
Info:Square Root: Total cpu/real time for sqrt: 80.46/24.205
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21181.3/6959.9
Info:root: Cleaning up computation data in /tmp/cado.vjvo66dm
32356424203149215200633896991585096639322601853511076363951610267 56970218484622483759476441089310860455667596549
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10190-89

c132

name 名前Eric Jeancolas
date 日付April 1, 2022 06:26:33 UTC 2022 年 4 月 1 日 (金) 15 時 26 分 33 秒 (日本時間)
composite number 合成数
787277087139472500067349448301859363646048768153533558066916543736085499403190861016199960047992311167620310777263770138514655577879<132>
prime factors 素因数
8255689145487406224387199886456157425088401590859<49>
95361764870931629814982423338480660922063494019632798965437032065222692950271063781<83>
factorization results 素因数分解の結果
787277087139472500067349448301859363646048768153533558066916543736085499403190861016199960047992311167620310777263770138514655577879=8255689145487406224387199886456157425088401590859*95361764870931629814982423338480660922063494019632798965437032065222692950271063781

cado polynomial
n: 787277087139472500067349448301859363646048768153533558066916543736085499403190861016199960047992311167620310777263770138514655577879
skew: 151497.718
c0: -716841645628540256874897100155
c1: -58329154864184507743762044
c2: -1049165262574677520919
c3: 9183980308525090
c4: 31210258608
c5: -36180
Y0: -45572970895994936687199602
Y1: 198279691662878641
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 3.637e-07
# f(x) = -36180*x^5+31210258608*x^4+9183980308525090*x^3-1049165262574677520919*x^2-58329154864184507743762044*x-716841645628540256874897100155
# g(x) = 198279691662878641*x-45572970895994936687199602

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 8255689145487406224387199886456157425088401590859 95361764870931629814982423338480660922063494019632798965437032065222692950271063781
Info:Square Root: Total cpu/real time for sqrt: 747.16/225.256
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 423.9/410.008
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 346.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 307.22/334.444
Info:Linear Algebra: Total cpu/real time for bwc: 52294.2/13416.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33453.98, WCT time 8542.88, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56064 iterations)
Info:Linear Algebra: Lingen CPU time 350.94, WCT time 89.13
Info:Linear Algebra: Mksol: CPU time 18157.97,  WCT time 4654.88, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25086934
Info:Lattice Sieving: Average J: 7844.1 for 84106 special-q, max bucket fill -bkmult 1.0,1s:1.079130
Info:Lattice Sieving: Total time: 115061s
Info:Generate Factor Base: Total cpu/real time for makefb: 39.18/10.3926
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5557.82
Info:Polynomial Selection (root optimized): Rootsieve time: 5555.34
Info:Generate Free Relations: Total cpu/real time for freerel: 254.57/64.5629
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 107.5/125.24
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.8s
Info:Filtering - Merging: Merged matrix has 1790428 rows and total weight 306723297 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 447.37/125.953
Info:Filtering - Merging: Total cpu/real time for replay: 70.4/59.3997
Info:Quadratic Characters: Total cpu/real time for characters: 69.19/29.2323
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38843/39.890/47.128/50.850/0.836
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30621/38.630/42.414/47.960/1.096
Info:Polynomial Selection (size optimized): Total time: 4928.21
Info:Square Root: Total cpu/real time for sqrt: 747.16/225.256
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 281501/75454.4
Info:root: Cleaning up computation data in /tmp/cado.0e0w2y0a
8255689145487406224387199886456157425088401590859 95361764870931629814982423338480660922063494019632798965437032065222692950271063781
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaMarch 19, 2022 05:22:46 UTC 2022 年 3 月 19 日 (土) 14 時 22 分 46 秒 (日本時間)

791×10192-89

c185

name 名前Bob Backstrom
date 日付April 4, 2022 13:29:11 UTC 2022 年 4 月 4 日 (月) 22 時 29 分 11 秒 (日本時間)
composite number 合成数
60014052799558205283268414152183922185422849331836433845640419541463465684674459374429428342708979036363297884654469095558810596385617904502498728107232409100107180819169065448842266343<185>
prime factors 素因数
12181958617373130963311354983847881972281481<44>
4926469928568793365249790858571560034616334107518142689050466136255924640686729369383697896882754699719071413963082160073972047657326757969903<142>
factorization results 素因数分解の結果
Number: n
N=60014052799558205283268414152183922185422849331836433845640419541463465684674459374429428342708979036363297884654469095558810596385617904502498728107232409100107180819169065448842266343  ( 185 digits)
SNFS difficulty: 194 digits.
Divisors found:

Mon Apr  4 22:51:09 2022  p44 factor: 12181958617373130963311354983847881972281481
Mon Apr  4 22:51:09 2022  p142 factor: 4926469928568793365249790858571560034616334107518142689050466136255924640686729369383697896882754699719071413963082160073972047657326757969903
Mon Apr  4 22:51:09 2022  elapsed time 00:54:03 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 791x10^192-8 = 878(192)
#
n: 60014052799558205283268414152183922185422849331836433845640419541463465684674459374429428342708979036363297884654469095558810596385617904502498728107232409100107180819169065448842266343
m: 100000000000000000000000000000000
deg: 6
c6: 791
c0: -8
skew: 0.47
# Murphy_E = 1.985e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3938374 hash collisions in 30667387 relations (28919502 unique)
Msieve: matrix is 1427662 x 1427887 (504.4 MB)

Sieving start time : 2022/04/04 15:06:59
Sieving end time  : 2022/04/04 21:56:31

Total sieving time: 6hrs 49min 32secs.

Total relation processing time: 0hrs 38min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 30sec.

Prototype def-par.txt line would be:
snfs,194,6,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10193-89

c180

name 名前Bob Backstrom
date 日付April 5, 2022 06:38:17 UTC 2022 年 4 月 5 日 (火) 15 時 38 分 17 秒 (日本時間)
composite number 合成数
271651960817561151282706045222463013795037731664100247720907533797566797974024666498738953778249841750805211691840044037379051045797059338641282659082662453975955410415518729652809<180>
prime factors 素因数
1019704654867953938763995933365814238235552981716523149611607126541<67>
266402589730983001111977364382678834026511581278168443713500979168337370728866224524538008513625044533399481890349<114>
factorization results 素因数分解の結果
Number: n
N=271651960817561151282706045222463013795037731664100247720907533797566797974024666498738953778249841750805211691840044037379051045797059338641282659082662453975955410415518729652809  ( 180 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Apr  5 16:33:39 2022  p67 factor: 1019704654867953938763995933365814238235552981716523149611607126541
Tue Apr  5 16:33:39 2022  p114 factor: 266402589730983001111977364382678834026511581278168443713500979168337370728866224524538008513625044533399481890349
Tue Apr  5 16:33:39 2022  elapsed time 01:05:40 (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 = 791x10^193-8 = 878(193)
#
n: 271651960817561151282706045222463013795037731664100247720907533797566797974024666498738953778249841750805211691840044037379051045797059338641282659082662453975955410415518729652809
m: 100000000000000000000000000000000000000
deg: 5
c5: 98875
c0: -1
skew: 0.10
# Murphy_E = 1.761e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4097023 hash collisions in 30245691 relations (27748149 unique)
Msieve: matrix is 1662373 x 1662598 (577.5 MB)

Sieving start time : 2022/04/05 08:07:51
Sieving end time  : 2022/04/05 15:27:22

Total sieving time: 7hrs 19min 31secs.

Total relation processing time: 0hrs 54min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 32sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62078Florian PieskerApril 3, 2022 08:31:02 UTC 2022 年 4 月 3 日 (日) 17 時 31 分 2 秒 (日本時間)
4511e63975Florian PieskerApril 3, 2022 17:18:13 UTC 2022 年 4 月 4 日 (月) 2 時 18 分 13 秒 (日本時間)

791×10196-89

c191

name 名前Bob Backstrom
date 日付April 13, 2022 05:32:24 UTC 2022 年 4 月 13 日 (水) 14 時 32 分 24 秒 (日本時間)
composite number 合成数
49345640622698815020897847611778294116587266973166102641627478367644710988259804960076569462117794619426207144090917552430273424506609720674478424688521083576867482338253224709541952178921329<191>
prime factors 素因数
706257356172325725583934597613995874844021983564024779<54>
69869205880042619225683779783019034148495589392562963644587308918352641612962131394285823144039967757079153608519470118014157989911974451<137>
factorization results 素因数分解の結果
Number: n
N=49345640622698815020897847611778294116587266973166102641627478367644710988259804960076569462117794619426207144090917552430273424506609720674478424688521083576867482338253224709541952178921329  ( 191 digits)
SNFS difficulty: 198 digits.
Divisors found:

Wed Apr 13 15:26:16 2022  p54 factor: 706257356172325725583934597613995874844021983564024779
Wed Apr 13 15:26:16 2022  p137 factor: 69869205880042619225683779783019034148495589392562963644587308918352641612962131394285823144039967757079153608519470118014157989911974451
Wed Apr 13 15:26:16 2022  elapsed time 01:18:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 791x10^196-8 = 878(196)
#
n: 49345640622698815020897847611778294116587266973166102641627478367644710988259804960076569462117794619426207144090917552430273424506609720674478424688521083576867482338253224709541952178921329
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3955
c0: -4
skew: 0.25
# Murphy_E = 1.343e-11
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4341658 hash collisions in 30650558 relations (27872372 unique)
Msieve: matrix is 1875924 x 1876149 (654.2 MB)

Sieving start time : 2022/04/13 03:58:15
Sieving end time  : 2022/04/13 13:41:30

Total sieving time: 9hrs 43min 15secs.

Total relation processing time: 1hrs 6min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 31sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14300000,14300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 10, 2022 17:48:02 UTC 2022 年 4 月 11 日 (月) 2 時 48 分 2 秒 (日本時間)

791×10198-89

c150

name 名前Bob Backstrom
date 日付September 11, 2022 07:22:47 UTC 2022 年 9 月 11 日 (日) 16 時 22 分 47 秒 (日本時間)
composite number 合成数
104564341399586074520382231556329269104798924639274193417370214338033575648095167068626411036874391097413334196382118474074077859722250746411709289897<150>
prime factors 素因数
2695192183607503432947456560111368885361766137<46>
3841732496556867510292008489551904938082201893503<49>
10098729665937355244986841709506411459133212660652373327<56>
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 104564341399586074520382231556329269104798924639274193417370214338033575648095167068626411036874391097413334196382118474074077859722250746411709289897 (150 digits)
## Using B1=23460000, B2=96188942866, polynomial Dickson(12), sigma=1:187209530
## Step 1 took 47135ms
## Step 2 took 17633ms
## ********** Factor found in step 2: 3841732496556867510292008489551904938082201893503
## Found prime factor of 49 digits: 3841732496556867510292008489551904938082201893503
## Composite cofactor 27218017259999574164447850192436384128781785150784470498710006530941402863023069022675431393390627799 has 101 digits
##

Number: n
N=27218017259999574164447850192436384128781785150784470498710006530941402863023069022675431393390627799  ( 101 digits)
Divisors found:

Sun Sep 11 17:17:14 2022  p46 factor: 2695192183607503432947456560111368885361766137
Sun Sep 11 17:17:14 2022  p56 factor: 10098729665937355244986841709506411459133212660652373327
Sun Sep 11 17:17:14 2022  elapsed time 00:05:46 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:

n: 27218017259999574164447850192436384128781785150784470498710006530941402863023069022675431393390627799

Y0: -1812847187879145810600093
Y1: 17887417294619

skew: 1778

c0: 22650802995439988480077578920
c1: -14389571671551041333826
c2: -23180776904336957
c3: 6560519118
c4: 2520

type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000

Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 13950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 700254 hash collisions in 6026283 relations (5638960 unique)
Msieve: matrix is 445970 x 446195 (156.4 MB)

Sieving start time : 2022/09/11 16:40:49
Sieving end time  : 2022/09/11 17:11:15

Total sieving time: 0hrs 30min 26secs.

Total relation processing time: 0hrs 3min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
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
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 12, 2022 19:28:44 UTC 2022 年 4 月 13 日 (水) 4 時 28 分 44 秒 (日本時間)
4511e61000 / 3915Dmitry DomanovJuly 11, 2022 07:24:29 UTC 2022 年 7 月 11 日 (月) 16 時 24 分 29 秒 (日本時間)

791×10199-89

c164

name 名前Bob Backstrom
date 日付November 11, 2022 17:41:09 UTC 2022 年 11 月 12 日 (土) 2 時 41 分 9 秒 (日本時間)
composite number 合成数
98149023963187996350068175774437810262734878619081354650869488620978342473151566472789803941507949943217544863914435956621448384792269762349005793257828913120607047<164>
prime factors 素因数
338511918399254218018051798700301732057644869902547634632794857617<66>
289942594716642125511073754907465963255870093294135824651680667059452377184410345422975763321096791<99>
factorization results 素因数分解の結果
Number: n
N=98149023963187996350068175774437810262734878619081354650869488620978342473151566472789803941507949943217544863914435956621448384792269762349005793257828913120607047  ( 164 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Nov 12 04:34:15 2022  p66 factor: 338511918399254218018051798700301732057644869902547634632794857617
Sat Nov 12 04:34:15 2022  p99 factor: 289942594716642125511073754907465963255870093294135824651680667059452377184410345422975763321096791
Sat Nov 12 04:34:15 2022  elapsed time 01:17:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 791x10^199-8 = 878(199)
#
n: 98149023963187996350068175774437810262734878619081354650869488620978342473151566472789803941507949943217544863914435956621448384792269762349005793257828913120607047
m: 5000000000000000000000000000000000000000
deg: 5
c5: 1582
c0: -5
skew: 0.32
# Murphy_E = 1.105e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
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: 55/55
Sieved  special-q in [100000, 64050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5386268 hash collisions in 26857133 relations (21825257 unique)
Msieve: matrix is 1927633 x 1927881 (641.0 MB)

Sieving start time : 2022/11/11 01:52:27
Sieving end time  : 2022/11/12 03:15:46

Total sieving time: 25hrs 23min 19secs.

Total relation processing time: 1hrs 3min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 20sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,27,27,55,55,2.6,2.6,100000
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
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 13, 2022 14:43:07 UTC 2022 年 4 月 13 日 (水) 23 時 43 分 7 秒 (日本時間)
4511e61000 / 3915Dmitry DomanovJuly 11, 2022 07:24:41 UTC 2022 年 7 月 11 日 (月) 16 時 24 分 41 秒 (日本時間)

791×10200-89

c150

composite cofactor 合成数の残り
110133943660046029573045858002949262049252017752504416134208950943982094660905329927503265948114689785588215442769269561258971682656686871954949093033<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 5, 2022 10:04:27 UTC 2022 年 5 月 5 日 (木) 19 時 4 分 27 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 5, 2022 10:04:27 UTC 2022 年 5 月 5 日 (木) 19 時 4 分 27 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:12:08 UTC 2022 年 7 月 17 日 (日) 7 時 12 分 8 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:33:01 UTC 2022 年 9 月 3 日 (土) 8 時 33 分 1 秒 (日本時間)

791×10202-89

c167

composite cofactor 合成数の残り
85855856208448046324156776321737798092877439963132006376495599279615005132774938113406581864386108896806501825660708400564477095912658857900040819200264932858982455979<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:03:22 UTC 2022 年 3 月 28 日 (月) 19 時 3 分 22 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 6, 2022 10:55:31 UTC 2022 年 5 月 6 日 (金) 19 時 55 分 31 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:12:53 UTC 2022 年 7 月 17 日 (日) 7 時 12 分 53 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:33:17 UTC 2022 年 9 月 3 日 (土) 8 時 33 分 17 秒 (日本時間)

791×10204-89

c189

composite cofactor 合成数の残り
282754115351755500605443460742540509936461895300922982405320553138529195683707561515073488763093966152718094110406780669642614784711660317436883982620712997344168816500266800903213685022857<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:06:45 UTC 2022 年 3 月 28 日 (月) 19 時 6 分 45 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovMay 5, 2022 10:04:25 UTC 2022 年 5 月 5 日 (木) 19 時 4 分 25 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:13:13 UTC 2022 年 7 月 17 日 (日) 7 時 13 分 13 秒 (日本時間)

791×10205-89

c174

composite cofactor 合成数の残り
947517838268895723133466156541243023643992060955581242032029113772975484113584541021590053681657033245352006057427653972645018453228250588183455055391918546153236082919078259<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:04:13 UTC 2022 年 3 月 28 日 (月) 19 時 4 分 13 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 5, 2022 10:04:30 UTC 2022 年 5 月 5 日 (木) 19 時 4 分 30 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:13:25 UTC 2022 年 7 月 17 日 (日) 7 時 13 分 25 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:33:24 UTC 2022 年 9 月 3 日 (土) 8 時 33 分 24 秒 (日本時間)

791×10206-89

c174

composite cofactor 合成数の残り
292539409597716098975551127938574008588128730632492602732365008083266453303619346363254045106625276654280457807610711249478261658143147602469931541725138863217430431018380563<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:04:20 UTC 2022 年 3 月 28 日 (月) 19 時 4 分 20 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 5, 2022 10:04:41 UTC 2022 年 5 月 5 日 (木) 19 時 4 分 41 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:13:34 UTC 2022 年 7 月 17 日 (日) 7 時 13 分 34 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:33:31 UTC 2022 年 9 月 3 日 (土) 8 時 33 分 31 秒 (日本時間)

791×10207-89

c204

composite cofactor 合成数の残り
986274451127669549430928369791822525461092657429851073804750077305962035291418539465940489371677090502837876928908439816061685170222740920290071919482099929177763812829797209005396454898205504184496912749<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:06:36 UTC 2022 年 3 月 28 日 (月) 19 時 6 分 36 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 8, 2022 23:24:59 UTC 2022 年 5 月 9 日 (月) 8 時 24 分 59 秒 (日本時間)

791×10208-89

c170

composite cofactor 合成数の残り
11690106873294486640230609747453834795388936840674782201609981423677847693072611870028546792052855302857838775354568361226449865576184896478536847891799234078558470355597<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:04:30 UTC 2022 年 3 月 28 日 (月) 19 時 4 分 30 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 5, 2022 10:04:48 UTC 2022 年 5 月 5 日 (木) 19 時 4 分 48 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:13:44 UTC 2022 年 7 月 17 日 (日) 7 時 13 分 44 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:33:39 UTC 2022 年 9 月 3 日 (土) 8 時 33 分 39 秒 (日本時間)

791×10209-89

c156

composite cofactor 合成数の残り
303735991054253225963087939161238504081231129028407643720945095997657165936071727561261667059645887739143395193281512655623828191238948894422697434224422287<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:04:39 UTC 2022 年 3 月 28 日 (月) 19 時 4 分 39 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 5, 2022 10:04:55 UTC 2022 年 5 月 5 日 (木) 19 時 4 分 55 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:13:52 UTC 2022 年 7 月 17 日 (日) 7 時 13 分 52 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:33:47 UTC 2022 年 9 月 3 日 (土) 8 時 33 分 47 秒 (日本時間)

791×10211-89

c156

composite cofactor 合成数の残り
376662817964188291346909162015340070095216926274400634060208647514048322409863780212377539710915696770039276734517752123705451524774685358071570001850140283<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:04:49 UTC 2022 年 3 月 28 日 (月) 19 時 4 分 49 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 5, 2022 10:05:02 UTC 2022 年 5 月 5 日 (木) 19 時 5 分 2 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:14:02 UTC 2022 年 7 月 17 日 (日) 7 時 14 分 2 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:33:54 UTC 2022 年 9 月 3 日 (土) 8 時 33 分 54 秒 (日本時間)

791×10212-89

c162

composite cofactor 合成数の残り
925032510238295635583200693281279864047913238813486346081172633606159741729683106976280027746687285041591926551562327103781868054207863402217750216333764678160191<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:04:58 UTC 2022 年 3 月 28 日 (月) 19 時 4 分 58 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 5, 2022 10:05:24 UTC 2022 年 5 月 5 日 (木) 19 時 5 分 24 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:14:09 UTC 2022 年 7 月 17 日 (日) 7 時 14 分 9 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:34:02 UTC 2022 年 9 月 3 日 (土) 8 時 34 分 2 秒 (日本時間)

791×10213-89

c160

composite cofactor 合成数の残り
6128208779195934238817124404597032258926029191464911591772538318473800480102067347355965079897295220880215048685122082187588522281297970127434598510207121835027<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:06:22 UTC 2022 年 3 月 28 日 (月) 19 時 6 分 22 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 5, 2022 10:05:24 UTC 2022 年 5 月 5 日 (木) 19 時 5 分 24 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:14:17 UTC 2022 年 7 月 17 日 (日) 7 時 14 分 17 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:34:08 UTC 2022 年 9 月 3 日 (土) 8 時 34 分 8 秒 (日本時間)

791×10214-89

c193

name 名前Dmitry Domanov
date 日付March 29, 2022 11:10:02 UTC 2022 年 3 月 29 日 (火) 20 時 10 分 2 秒 (日本時間)
composite number 合成数
3792597212160601266744499485716536166872994224289531849650619328352132836976088865663295288881599604492248943024533186348488616269089882067389915730219720033892614477726630108211443402563807379<193>
prime factors 素因数
62550635655610021048374751941835555163<38>
composite cofactor 合成数の残り
60632432786803375076434816901420727432695382896303342267824932717420828797400898886088084174708181750220578048776889496369035563219398883759572936762549033<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=888899974
Step 1 took 9926ms
Step 2 took 3151ms
********** Factor found in step 2: 62550635655610021048374751941835555163
Found probable prime factor of 38 digits: 62550635655610021048374751941835555163
Composite cofactor 60632432786803375076434816901420727432695382896303342267824932717420828797400898886088084174708181750220578048776889496369035563219398883759572936762549033 has 155 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:06:14 UTC 2022 年 3 月 28 日 (月) 19 時 6 分 14 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 5, 2022 10:05:26 UTC 2022 年 5 月 5 日 (木) 19 時 5 分 26 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:14:25 UTC 2022 年 7 月 17 日 (日) 7 時 14 分 25 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:34:15 UTC 2022 年 9 月 3 日 (土) 8 時 34 分 15 秒 (日本時間)

791×10218-89

c167

composite cofactor 合成数の残り
18917635055335440422931791832480659721681199187217390107434576544247827926286488861782915336978768101932521445649762422239947348408956780468520109502997353005592768351<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:06:06 UTC 2022 年 3 月 28 日 (月) 19 時 6 分 6 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 5, 2022 10:05:34 UTC 2022 年 5 月 5 日 (木) 19 時 5 分 34 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:14:33 UTC 2022 年 7 月 17 日 (日) 7 時 14 分 33 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:34:22 UTC 2022 年 9 月 3 日 (土) 8 時 34 分 22 秒 (日本時間)

791×10219-89

c193

composite cofactor 合成数の残り
1667132753501514033272549952155884666019673415622543101032504081697623269369476725067778318424089029427532428037797157130407997775120424808459052106754745619387589337268007594516845222847401557<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:05:58 UTC 2022 年 3 月 28 日 (月) 19 時 5 分 58 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovMay 5, 2022 10:05:42 UTC 2022 年 5 月 5 日 (木) 19 時 5 分 42 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:14:42 UTC 2022 年 7 月 17 日 (日) 7 時 14 分 42 秒 (日本時間)

791×10221-89

c217

composite cofactor 合成数の残り
5769319415780189951377255431912694953399070023637434086802072812166130725338384077086859838943358266129149898442473394028615824302269742158831186942286966968859387317241673070538281148344008397678385022350824801159057<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:05:15 UTC 2022 年 3 月 28 日 (月) 19 時 5 分 15 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 8, 2022 23:25:09 UTC 2022 年 5 月 9 日 (月) 8 時 25 分 9 秒 (日本時間)

791×10222-89

c208

composite cofactor 合成数の残り
6750343168699969159695440563646426042968955978402376551074976523802525851701545023391872563546807840278112719951728544245891677294819998799768898578262804021629490959041318418539354406771505923024204319808637<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:05:36 UTC 2022 年 3 月 28 日 (月) 19 時 5 分 36 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 8, 2022 23:25:17 UTC 2022 年 5 月 9 日 (月) 8 時 25 分 17 秒 (日本時間)

791×10227-89

c198

composite cofactor 合成数の残り
202317789296692695769344745542941983689000131257992679144262622459075757528891308128746486337096545082054818995084197415245499003592228205714444693203397246151990435527487983186445325825375121180653<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:05:44 UTC 2022 年 3 月 28 日 (月) 19 時 5 分 44 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovMay 5, 2022 10:05:51 UTC 2022 年 5 月 5 日 (木) 19 時 5 分 51 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:15:40 UTC 2022 年 7 月 17 日 (日) 7 時 15 分 40 秒 (日本時間)

791×10231-89

c152

composite cofactor 合成数の残り
37482205196360490388988341477912152849151918595454836335511684513707219507576887117151669135700646307933260851971585352439874201831313050154784770161561<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 19, 2022 11:03:19 UTC 2022 年 3 月 19 日 (土) 20 時 3 分 19 秒 (日本時間)
4511e64480Ignacio SantosMarch 19, 2022 16:48:23 UTC 2022 年 3 月 20 日 (日) 1 時 48 分 23 秒 (日本時間)

791×10232-89

c218

composite cofactor 合成数の残り
47515870302184905809724419178088254523447550751638941841433862360422768406344632641435436478071027034535919094616169046950393863279378725103274214938476309804195655764256395604608045205853593379027588908235777631918927<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:07:43 UTC 2022 年 3 月 28 日 (月) 19 時 7 分 43 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 8, 2022 23:26:13 UTC 2022 年 5 月 9 日 (月) 8 時 26 分 13 秒 (日本時間)

791×10233-89

c167

composite cofactor 合成数の残り
18290966276894149391213965163447340912290612887621876448808566155709797497776740066925430747412152386323560194726442247204046418544878123857895126609346948858764303829<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:07:52 UTC 2022 年 3 月 28 日 (月) 19 時 7 分 52 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovMay 5, 2022 10:06:57 UTC 2022 年 5 月 5 日 (木) 19 時 6 分 57 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:15:54 UTC 2022 年 7 月 17 日 (日) 7 時 15 分 54 秒 (日本時間)
1000Dmitry DomanovSeptember 2, 2022 23:34:32 UTC 2022 年 9 月 3 日 (土) 8 時 34 分 32 秒 (日本時間)

791×10234-89

c183

name 名前Dmitry Domanov
date 日付May 7, 2022 08:18:49 UTC 2022 年 5 月 7 日 (土) 17 時 18 分 49 秒 (日本時間)
composite number 合成数
898153030260775165590471769515506511650701767957078962126230632902415997686874200391448689902424904603714069318671713716119971267295323448318480592667220969093012265310608797936561793<183>
prime factors 素因数
4177771791127557994635316898089194050339<40>
214983746160622268908185747370203483387726306705946596164138411745337433885351506005781543549215303738599995254012351348036485630268568567755787<144>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2860337030
Step 1 took 27292ms
********** Factor found in step 1: 4177771791127557994635316898089194050339
Found prime factor of 40 digits: 4177771791127557994635316898089194050339
Prime cofactor 214983746160622268908185747370203483387726306705946596164138411745337433885351506005781543549215303738599995254012351348036485630268568567755787 has 144 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:07:59 UTC 2022 年 3 月 28 日 (月) 19 時 7 分 59 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 5, 2022 10:07:05 UTC 2022 年 5 月 5 日 (木) 19 時 7 分 5 秒 (日本時間)

791×10235-89

c218

composite cofactor 合成数の残り
17751426876889196133772731365669788631217017124906519638909777716969309410101813124146084897446942924420766468401208843266105418179575679286415825874332781229381925733335992874975646362541822743959207176065613832147093<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:08:08 UTC 2022 年 3 月 28 日 (月) 19 時 8 分 8 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 8, 2022 23:26:21 UTC 2022 年 5 月 9 日 (月) 8 時 26 分 21 秒 (日本時間)

791×10236-89

c235

composite cofactor 合成数の残り
6500657462195923734385272846811308349769888231426692965154503616042077580539119000657462195923734385272846811308349769888231426692965154503616042077580539119000657462195923734385272846811308349769888231426692965154503616042077580539119<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:01:14 UTC 2022 年 3 月 28 日 (月) 7 時 1 分 14 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:01:23 UTC 2022 年 5 月 23 日 (月) 1 時 1 分 23 秒 (日本時間)

791×10237-89

c115

name 名前Eric Jeancolas
date 日付March 18, 2022 15:06:57 UTC 2022 年 3 月 19 日 (土) 0 時 6 分 57 秒 (日本時間)
composite number 合成数
4574837283363674617992721573499407706517410786382932628094348757455377607808878296414213519911125713809852399724743<115>
prime factors 素因数
46881631200649842039854719167800598571<38>
97582724111789464814981438167210728692978061517875314033125755498435510398933<77>
factorization results 素因数分解の結果
4574837283363674617992721573499407706517410786382932628094348757455377607808878296414213519911125713809852399724743=46881631200649842039854719167800598571*97582724111789464814981438167210728692978061517875314033125755498435510398933

cado polynomial
n: 4574837283363674617992721573499407706517410786382932628094348757455377607808878296414213519911125713809852399724743
skew: 67009.224
c0: -226090461268803589768377225
c1: -31537659218298549172224
c2: -1386748341486167600
c3: 7802781454292
c4: -133268323
c5: 720
Y0: -23115582792614842491388
Y1: 4704496897474417
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.036e-06
# f(x) = 720*x^5-133268323*x^4+7802781454292*x^3-1386748341486167600*x^2-31537659218298549172224*x-226090461268803589768377225
# g(x) = 4704496897474417*x-23115582792614842491388

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: 46881631200649842039854719167800598571 97582724111789464814981438167210728692978061517875314033125755498435510398933
Info:Square Root: Total cpu/real time for sqrt: 331.65/98.8348
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.64/102.896
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7042688
Info:Lattice Sieving: Average J: 1908.49 for 139711 special-q, max bucket fill -bkmult 1.0,1s:1.245960
Info:Lattice Sieving: Total time: 15829.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.25/1.14228
Info:Linear Algebra: Total cpu/real time for bwc: 2529.32/652.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1564.51, WCT time 400.72, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13696 iterations)
Info:Linear Algebra: Lingen CPU time 67.4, WCT time 17.17
Info:Linear Algebra: Mksol: CPU time 860.34,  WCT time 219.98, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.44/16.8294
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.72/29.9997
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.999999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 384.94
Info:Polynomial Selection (root optimized): Rootsieve time: 383.85
Info:Filtering - Merging: Merged matrix has 435373 rows and total weight 67803055 (155.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.93/20.5504
Info:Filtering - Merging: Total cpu/real time for replay: 14.81/12.0677
Info:Quadratic Characters: Total cpu/real time for characters: 15.91/6.1938
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): 21857/33.020/40.895/46.080/1.078
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17114/32.620/36.191/41.360/0.828
Info:Polynomial Selection (size optimized): Total time: 1785.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 117.73/121.878
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 93.10000000000002s
Info:Square Root: Total cpu/real time for sqrt: 331.65/98.8348
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 34450.1/9456.27
Info:root: Cleaning up computation data in /tmp/cado.yn_oalqc
46881631200649842039854719167800598571 97582724111789464814981438167210728692978061517875314033125755498435510398933
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10238-89

c215

name 名前Dmitry Domanov
date 日付May 10, 2022 08:08:09 UTC 2022 年 5 月 10 日 (火) 17 時 8 分 9 秒 (日本時間)
composite number 合成数
14237557590586501101203122542490477672893025775957321849168289327583160130490469041971222953778619807154780090161096287304579810680708442324241267499588685197718995012049456649399840891779891393789686464856611253179<215>
prime factors 素因数
6907894465522869954880323520488244171<37>
2061056036922074897994530788281915816925371424195566418458325416177032002681655587704825174014670682588943128495087599181426190368919482754963650065161214307388217889299248912849<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1705900904
Step 1 took 104080ms
Step 2 took 37709ms
********** Factor found in step 2: 6907894465522869954880323520488244171
Found prime factor of 37 digits: 6907894465522869954880323520488244171
Prime cofactor 2061056036922074897994530788281915816925371424195566418458325416177032002681655587704825174014670682588943128495087599181426190368919482754963650065161214307388217889299248912849 has 178 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:08:16 UTC 2022 年 3 月 28 日 (月) 19 時 8 分 16 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 8, 2022 23:26:29 UTC 2022 年 5 月 9 日 (月) 8 時 26 分 29 秒 (日本時間)

791×10241-89

c224

composite cofactor 合成数の残り
33152622680346723308758232480944742177851269347875627478655050185566325600363722666437784714928343943556798683244906314739566544449360196630326701482026468367928305410735099665130667772867379469006857073817679008052662123297<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:01:23 UTC 2022 年 3 月 28 日 (月) 7 時 1 分 23 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:56:07 UTC 2022 年 5 月 11 日 (水) 14 時 56 分 7 秒 (日本時間)

791×10245-89

c245

name 名前Dmitry Domanov
date 日付May 24, 2022 12:33:51 UTC 2022 年 5 月 24 日 (火) 21 時 33 分 51 秒 (日本時間)
composite number 合成数
11325887743413516609392898052691867124856815578465063001145475372279495990836197021764032073310423825887743413516609392898052691867124856815578465063001145475372279495990836197021764032073310423825887743413516609392898052691867124856815578465063<245>
prime factors 素因数
931850435307995982268381020209620756461823<42>
12154190537744476940704787840680847443451265238840292422311653533378761341654518822003591789012765937828127026188141829185832441166370575971600268606365684607462269956727302020092554283361006775895313881<203>
factorization results 素因数分解の結果
Resuming ECM residue saved by @428c36c4fe72 with GMP-ECM 7.0.5-dev on Mon May 23 02:23:10 2022 
Input number is 11325887743413516609392898052691867124856815578465063001145475372279495990836197021764032073310423825887743413516609392898052691867124856815578465063001145475372279495990836197021764032073310423825887743413516609392898052691867124856815578465063 (245 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2345338245
Step 1 took 0ms
Step 2 took 21955ms
********** Factor found in step 2: 931850435307995982268381020209620756461823
Found prime factor of 42 digits: 931850435307995982268381020209620756461823
Prime cofactor 12154190537744476940704787840680847443451265238840292422311653533378761341654518822003591789012765937828127026188141829185832441166370575971600268606365684607462269956727302020092554283361006775895313881 has 203 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:01:32 UTC 2022 年 3 月 28 日 (月) 7 時 1 分 32 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:01:32 UTC 2022 年 5 月 23 日 (月) 1 時 1 分 32 秒 (日本時間)

791×10246-89

c229

name 名前Dmitry Domanov
date 日付March 28, 2022 12:45:42 UTC 2022 年 3 月 28 日 (月) 21 時 45 分 42 秒 (日本時間)
composite number 合成数
5394237782354586947946601800850536803571650907508208169820500420872909712968264338996312709431251356348069998032895660499611270748907152103666991678689591998447628243730248059632383914347663748741532158234750709473090472981858487<229>
prime factors 素因数
134280374208909837979249880604390917<36>
composite cofactor 合成数の残り
40171453305323495349666424835386355894941002840525743752104287198520854532921199358177390980933573760442680106702779477264306697406888959254013547001192293080952484318605191678768757302959875211<194>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e746e3b325c9 with GMP-ECM 7.0.5-dev on Sun Mar 27 22:24:21 2022 
Input number is 5394237782354586947946601800850536803571650907508208169820500420872909712968264338996312709431251356348069998032895660499611270748907152103666991678689591998447628243730248059632383914347663748741532158234750709473090472981858487 (229 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1187906187
Step 1 took 0ms
Step 2 took 5460ms
********** Factor found in step 2: 134280374208909837979249880604390917
Found prime factor of 36 digits: 134280374208909837979249880604390917
Composite cofactor 40171453305323495349666424835386355894941002840525743752104287198520854532921199358177390980933573760442680106702779477264306697406888959254013547001192293080952484318605191678768757302959875211 has 194 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:01:40 UTC 2022 年 3 月 28 日 (月) 7 時 1 分 40 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovMay 5, 2022 10:07:14 UTC 2022 年 5 月 5 日 (木) 19 時 7 分 14 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:16:02 UTC 2022 年 7 月 17 日 (日) 7 時 16 分 2 秒 (日本時間)

791×10247-89

c221

composite cofactor 合成数の残り
48428908262066589167129328855698740752392604767757043110508607781155325113795633673602452135328887539972514612159537168859336969216696379895122198294023058928675469658661828263956152933512462645800939480130301355805609253<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:01:48 UTC 2022 年 3 月 28 日 (月) 7 時 1 分 48 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:56:15 UTC 2022 年 5 月 11 日 (水) 14 時 56 分 15 秒 (日本時間)

791×10248-89

c243

composite cofactor 合成数の残り
266503565137123530190723293236372665324324259490026863828901665426936555062924894618897476031322975987294295971972800491158995231830069941586461559593148582145778622610925252670311815505302753845016404894803259992899886813813291497057868024847<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:01:56 UTC 2022 年 3 月 28 日 (月) 7 時 1 分 56 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:01:42 UTC 2022 年 5 月 23 日 (月) 1 時 1 分 42 秒 (日本時間)

791×10249-89

c209

composite cofactor 合成数の残り
53157128101662621013577583140830131490534967622360638057363884074294052874978755198951219118833857922267211434414048707592576904601035742106317147163310625867177834644561787999276373372225983028445757648974927<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:08:24 UTC 2022 年 3 月 28 日 (月) 19 時 8 分 24 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 8, 2022 23:26:37 UTC 2022 年 5 月 9 日 (月) 8 時 26 分 37 秒 (日本時間)

791×10250-89

c203

composite cofactor 合成数の残り
65237943918958967874357982923837174693129035732585751921239395689593547179258987403911701792341679397263999562736224667644510575075581102518417696930798442474653654302912868077244957558468243977252129843<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:08:32 UTC 2022 年 3 月 28 日 (月) 19 時 8 分 32 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 8, 2022 23:26:45 UTC 2022 年 5 月 9 日 (月) 8 時 26 分 45 秒 (日本時間)

791×10251-89

c244

name 名前Dmitry Domanov
date 日付May 23, 2022 05:30:42 UTC 2022 年 5 月 23 日 (月) 14 時 30 分 42 秒 (日本時間)
composite number 合成数
8387021659643118134792817437609034939631583768212175784112452188876467444734419515535618033696867101283783146969640480440867901165172041726263612624954736696722333867794645119555961020020930630047682332385537539791943283046583671143268211797891<244>
prime factors 素因数
14417556974882778297705148891621379135034163<44>
composite cofactor 合成数の残り
581722803263713731365720698277450011961568873765039490919192994502111884080906549526803146553795850293182297899742833098332839068297398237843021691456306329662986030763120745316583134402645938390086257<201>
factorization results 素因数分解の結果
GPU: factor 14417556974882778297705148891621379135034163 found in Step 1 with curve 55 (-sigma 3:-582753892)
Computing 1792 Step 1 took 1987ms of CPU time / 983327ms of GPU time
Throughput: 1.822 curves per second (on average 548.73ms per Step 1)
********** Factor found in step 1: 14417556974882778297705148891621379135034163
Found prime factor of 44 digits: 14417556974882778297705148891621379135034163
Composite cofactor 581722803263713731365720698277450011961568873765039490919192994502111884080906549526803146553795850293182297899742833098332839068297398237843021691456306329662986030763120745316583134402645938390086257 has 201 digits
Peak memory usage: 9430MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:02:04 UTC 2022 年 3 月 28 日 (月) 7 時 2 分 4 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:01:52 UTC 2022 年 5 月 23 日 (月) 1 時 1 分 52 秒 (日本時間)

791×10252-89

c150

name 名前Ignacio Santos
date 日付March 19, 2022 11:02:51 UTC 2022 年 3 月 19 日 (土) 20 時 2 分 51 秒 (日本時間)
composite number 合成数
504472083005483657881895514288796579349090085547526249360073958294145216848144817207110987254423108367768364398832852126164953563081496259215490238473<150>
prime factors 素因数
367702552157196218503448182481102893<36>
1371956980026119613856742342485791572741204768736340481798356300350863924321311224527675245466331314891911962234061<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1290647111
Step 1 took 5922ms
Step 2 took 3406ms
********** Factor found in step 2: 367702552157196218503448182481102893
Found prime factor of 36 digits: 367702552157196218503448182481102893
Prime cofactor 1371956980026119613856742342485791572741204768736340481798356300350863924321311224527675245466331314891911962234061 has 115 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

791×10256-89

c199

composite cofactor 合成数の残り
2485642213714281287703855591052291483210688786306710151222600130510042958717516046640425916467044082896601027158030308204655798283611878384128823965477508160604373874370773869647548227510812904070417<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:08:40 UTC 2022 年 3 月 28 日 (月) 19 時 8 分 40 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovMay 5, 2022 10:07:25 UTC 2022 年 5 月 5 日 (木) 19 時 7 分 25 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:16:10 UTC 2022 年 7 月 17 日 (日) 7 時 16 分 10 秒 (日本時間)

791×10258-89

c232

composite cofactor 合成数の残り
1259398057003375672009242248049597744700573482517359947655439238359776451678451147458664738245621359740159126532420652251175895600446105585748477114850958958432839471767130218163040247572733065393866735673131113026416632127689081497<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:02:12 UTC 2022 年 3 月 28 日 (月) 7 時 2 分 12 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:02:01 UTC 2022 年 5 月 23 日 (月) 1 時 2 分 1 秒 (日本時間)

791×10259-89

c207

composite cofactor 合成数の残り
599566537097006415035878350742353354358348483268254377940680239971944722265269446314639039379867096244966827165536436001597995864930979566456671731940030939708372958500775524402859477278108814414743703900981<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:08:48 UTC 2022 年 3 月 28 日 (月) 19 時 8 分 48 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 8, 2022 23:26:54 UTC 2022 年 5 月 9 日 (月) 8 時 26 分 54 秒 (日本時間)

791×10260-89

c248

composite cofactor 合成数の残り
31447746101900595518527569258328981816201051956492249568682677124227021284050639377685053591279591414129955887962449921097899173385593943656253993575770417384802842932543519300556123107765496663639517880054222102661648873382353120918177801704273953<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:02:20 UTC 2022 年 3 月 28 日 (月) 7 時 2 分 20 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:02:10 UTC 2022 年 5 月 23 日 (月) 1 時 2 分 10 秒 (日本時間)

791×10261-89

c192

name 名前Dmitry Domanov
date 日付May 7, 2022 20:28:23 UTC 2022 年 5 月 8 日 (日) 5 時 28 分 23 秒 (日本時間)
composite number 合成数
557457549479433257016377163273683730140110638443341292666202978635790432657378762933073517201695130880549067663557636646537407412626008666068663892582897775426832360752831326848722758538638651<192>
prime factors 素因数
20223961349745675503027759313946760353<38>
composite cofactor 合成数の残り
27564211572548496353757221505678068899350610705395317206718646085413176102726840400126200438253356544784538762387778572943223442339912629293019789106815067<155>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2492686294
Step 1 took 60180ms
Step 2 took 25498ms
********** Factor found in step 2: 20223961349745675503027759313946760353
Found prime factor of 38 digits: 20223961349745675503027759313946760353
Composite cofactor 27564211572548496353757221505678068899350610705395317206718646085413176102726840400126200438253356544784538762387778572943223442339912629293019789106815067 has 155 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:08:59 UTC 2022 年 3 月 28 日 (月) 19 時 8 分 59 秒 (日本時間)
4511e656801200Dmitry DomanovMay 5, 2022 10:07:36 UTC 2022 年 5 月 5 日 (木) 19 時 7 分 36 秒 (日本時間)
4480Ignacio SantosMay 12, 2022 12:55:31 UTC 2022 年 5 月 12 日 (木) 21 時 55 分 31 秒 (日本時間)

791×10262-89

c249

name 名前Dmitry Domanov
date 日付May 23, 2022 05:31:46 UTC 2022 年 5 月 23 日 (月) 14 時 31 分 46 秒 (日本時間)
composite number 合成数
141973017265202033316895549278079802632780319298142953445856858789620780758680723544375829216432346623428091430374465156162741811079042758057991414474824189679528785149195518885513652951259696423028528715949323042360486928241137778292982557814912467<249>
prime factors 素因数
55691646799081278176342767375634378797<38>
composite cofactor 合成数の残り
2549269512129853248513981306060955084638015569940503875116856576125988691867311199216520147954698111923022616009212601642961348924759042720098747394523561812089811053088102138805798532276477628359741995409178111<211>
factorization results 素因数分解の結果
GPU: factor 55691646799081278176342767375634378797 found in Step 1 with curve 831 (-sigma 3:1403573249)
Computing 1792 Step 1 took 1957ms of CPU time / 982180ms of GPU time
Throughput: 1.825 curves per second (on average 548.09ms per Step 1)
********** Factor found in step 1: 55691646799081278176342767375634378797
Found prime factor of 38 digits: 55691646799081278176342767375634378797
Composite cofactor 2549269512129853248513981306060955084638015569940503875116856576125988691867311199216520147954698111923022616009212601642961348924759042720098747394523561812089811053088102138805798532276477628359741995409178111 has 211 digits
Peak memory usage: 9430MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:02:28 UTC 2022 年 3 月 28 日 (月) 7 時 2 分 28 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:02:19 UTC 2022 年 5 月 23 日 (月) 1 時 2 分 19 秒 (日本時間)

791×10263-89

c243

name 名前Dmitry Domanov
date 日付May 24, 2022 12:33:22 UTC 2022 年 5 月 24 日 (火) 21 時 33 分 22 秒 (日本時間)
composite number 合成数
502502130898081610799982468874370032940688077935262856747995938261102147035071888291092281007628904559908513328601049057072820684603409182042039625430247400883179057348474654296295047498496729213085475483790985495239577305089681572970866825493<243>
prime factors 素因数
2135718823100017923376463264551693396565587<43>
235284778812172746309638376839983693779253986928269150110514834953321536021654078144904459451663120408012022214346068472499689733255739352345601848274431711310839975109731006197052015313590481651854839<201>
factorization results 素因数分解の結果
Resuming ECM residue saved by @428c36c4fe72 with GMP-ECM 7.0.5-dev on Mon May 23 04:01:31 2022 
Input number is 502502130898081610799982468874370032940688077935262856747995938261102147035071888291092281007628904559908513328601049057072820684603409182042039625430247400883179057348474654296295047498496729213085475483790985495239577305089681572970866825493 (243 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1458277816
Step 1 took 0ms
Step 2 took 14003ms
********** Factor found in step 2: 2135718823100017923376463264551693396565587
Found prime factor of 43 digits: 2135718823100017923376463264551693396565587
Prime cofactor 235284778812172746309638376839983693779253986928269150110514834953321536021654078144904459451663120408012022214346068472499689733255739352345601848274431711310839975109731006197052015313590481651854839 has 201 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:02:35 UTC 2022 年 3 月 28 日 (月) 7 時 2 分 35 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:02:30 UTC 2022 年 5 月 23 日 (月) 1 時 2 分 30 秒 (日本時間)

791×10264-89

c189

composite cofactor 合成数の残り
143861444200015174746476492387138650835543807281890305203089610879852944740207489290597681718496933288550332565189965017157793018898170747966326060045683249142991864918769099655281180365501<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:09:08 UTC 2022 年 3 月 28 日 (月) 19 時 9 分 8 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovMay 5, 2022 10:07:44 UTC 2022 年 5 月 5 日 (木) 19 時 7 分 44 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2022 22:16:24 UTC 2022 年 7 月 17 日 (日) 7 時 16 分 24 秒 (日本時間)

791×10265-89

c218

composite cofactor 合成数の残り
11798197952727545958205847938784316316340129631647838567108781411119488923641005549753324522922934795336029318032756776044958006345620774716919108025860470972398788123765130737819379628492195445225227276344191120877049<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:09:15 UTC 2022 年 3 月 28 日 (月) 19 時 9 分 15 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 29, 2022 06:47:26 UTC 2022 年 5 月 29 日 (日) 15 時 47 分 26 秒 (日本時間)

791×10266-89

c230

composite cofactor 合成数の残り
12414705802971572585174477507866934478117281024231553194599311025733628528821757650002795285547490617880457236977198210316118486413544842515269027168194522915835615114132545739308156233282758080758002901133947294624163260872303949<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:02:44 UTC 2022 年 3 月 28 日 (月) 7 時 2 分 44 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:56:24 UTC 2022 年 5 月 11 日 (水) 14 時 56 分 24 秒 (日本時間)

791×10268-89

c229

composite cofactor 合成数の残り
1704005533803249786539626449280031951175210533721986809970444866981685034333194117716100653924341150372175511308256981460640296456323665218581548070426691433989866547432188040201347845121887367098319149122829827862443689828649619<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:02:52 UTC 2022 年 3 月 28 日 (月) 7 時 2 分 52 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:56:33 UTC 2022 年 5 月 11 日 (水) 14 時 56 分 33 秒 (日本時間)

791×10269-89

c248

composite cofactor 合成数の残り
35150510810450189601214445179901263522987062538377446029134362944872489571341378408765035842313027072297697147741572382832369911632488479213894868184994758384773875419710081717507996035948863394576589683563307864235019140371351571456390934102717231<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:03:00 UTC 2022 年 3 月 28 日 (月) 7 時 3 分 0 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:02:40 UTC 2022 年 5 月 23 日 (月) 1 時 2 分 40 秒 (日本時間)

791×10270-89

c238

composite cofactor 合成数の残り
4718635167809676660303609009463511912322118164226339005806734181765925841102674924334832826437458618486969178884446296870757364351907117860976919117066271871475666038558784435163545127109172599714733741812637584304554426973446724536220463<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:03:08 UTC 2022 年 3 月 28 日 (月) 7 時 3 分 8 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:02:49 UTC 2022 年 5 月 23 日 (月) 1 時 2 分 49 秒 (日本時間)

791×10271-89

c236

name 名前Dmitry Domanov
date 日付March 28, 2022 15:23:21 UTC 2022 年 3 月 29 日 (火) 0 時 23 分 21 秒 (日本時間)
composite number 合成数
84747221621153146572809704657638992626048007184116614787429675184669725373936389337809514248193820189064588932080821865187001757047564620606102306902991164366018766398121871385538963938551147864043077897829705691071620490649946085551677<236>
prime factors 素因数
41412974588962548214368251171551725101<38>
2046393007560971259674205382221810618045492959977259695669012584055953825215969681494081675764393675132934280718844832626241367279560420287102221881506620712242949580980397593019170238939797517328977<199>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e746e3b325c9 with GMP-ECM 7.0.5-dev on Sun Mar 27 23:17:37 2022 
Input number is 84747221621153146572809704657638992626048007184116614787429675184669725373936389337809514248193820189064588932080821865187001757047564620606102306902991164366018766398121871385538963938551147864043077897829705691071620490649946085551677 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2424691340
Step 1 took 0ms
Step 2 took 3064ms
********** Factor found in step 2: 41412974588962548214368251171551725101
Found prime factor of 38 digits: 41412974588962548214368251171551725101
Prime cofactor 2046393007560971259674205382221810618045492959977259695669012584055953825215969681494081675764393675132934280718844832626241367279560420287102221881506620712242949580980397593019170238939797517328977 has 199 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 27, 2022 22:03:16 UTC 2022 年 3 月 28 日 (月) 7 時 3 分 16 秒 (日本時間)

791×10272-89

c263

name 名前Dmitry Domanov
date 日付March 25, 2022 05:32:38 UTC 2022 年 3 月 25 日 (金) 14 時 32 分 38 秒 (日本時間)
composite number 合成数
70454412830157919538682206499431044404075260856610390681078567883206481749192158246299044926792464680826954799324401185238015023752334176902227630683885872719371764038603056294787001046007997420325843487981456902579850446100867287064728656192934063066196474193483<263>
prime factors 素因数
11028626483916010939803227024153148767<38>
composite cofactor 合成数の残り
6388321604046307518999008391580017649574216522954299803333885287819694029405730023163455181394854124343750039070456975731694974303599974939141681140386767510801835977633275323642360008077840318881143853204040718288146551001749<226>
factorization results 素因数分解の結果
Resuming ECM residue saved by @a745c4229aed with GMP-ECM 7.0.5-dev on Thu Mar 24 20:29:25 2022 
Input number is 70454412830157919538682206499431044404075260856610390681078567883206481749192158246299044926792464680826954799324401185238015023752334176902227630683885872719371764038603056294787001046007997420325843487981456902579850446100867287064728656192934063066196474193483 (263 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3972913859
Step 1 took 0ms
Step 2 took 13233ms
********** Factor found in step 2: 11028626483916010939803227024153148767
Found prime factor of 38 digits: 11028626483916010939803227024153148767
Composite cofactor 6388321604046307518999008391580017649574216522954299803333885287819694029405730023163455181394854124343750039070456975731694974303599974939141681140386767510801835977633275323642360008077840318881143853204040718288146551001749 has 226 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:10:16 UTC 2022 年 3 月 25 日 (金) 3 時 10 分 16 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:56:42 UTC 2022 年 5 月 11 日 (水) 14 時 56 分 42 秒 (日本時間)

791×10275-89

c250

name 名前Dmitry Domanov
date 日付May 20, 2022 08:04:58 UTC 2022 年 5 月 20 日 (金) 17 時 4 分 58 秒 (日本時間)
composite number 合成数
2531063952170649914708961253606984146055173648733102735468203936151921154799345144327404141734262550476686728965402876386119214451259832984028194019545526077429912403092933507984555482025637859427452885474604451630879795019121160089294152350053573811<250>
prime factors 素因数
762109797561233050918748555533964558306411<42>
2895673422348270287896971851428136996882234389<46>
1146927573132714335742111428161452113427037721810506477298333915600276908389771388239518353322703778431846561424281406780335828706081895668018205137090246470525109<163>
factorization results 素因数分解の結果
Resuming ECM residue saved by @866be69c7504 with GMP-ECM 7.0.5-dev on Mon May 16 13:46:43 2022 
Input number is 2531063952170649914708961253606984146055173648733102735468203936151921154799345144327404141734262550476686728965402876386119214451259832984028194019545526077429912403092933507984555482025637859427452885474604451630879795019121160089294152350053573811 (250 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3677154404
Step 1 took 0ms
Step 2 took 18359ms
********** Factor found in step 2: 762109797561233050918748555533964558306411
Found prime factor of 42 digits: 762109797561233050918748555533964558306411
Composite cofactor 3321127690878802976818722368214329488035477995225091602090211561762595117099003338248148243885112958687332569348839406246116227669022255179681863371022953307681836756266611312190781316494456542615690047773401 has 208 digits
Resuming ECM residue saved by @866be69c7504 with GMP-ECM 7.0.5-dev on Mon May 16 13:46:43 2022 
Input number is 3321127690878802976818722368214329488035477995225091602090211561762595117099003338248148243885112958687332569348839406246116227669022255179681863371022953307681836756266611312190781316494456542615690047773401 (208 digits)
----
Resuming ECM residue saved by @866be69c7504 with GMP-ECM 7.0.5-dev on Mon May 16 13:46:43 2022 
Input number is 3321127690878802976818722368214329488035477995225091602090211561762595117099003338248148243885112958687332569348839406246116227669022255179681863371022953307681836756266611312190781316494456542615690047773401 (208 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3677154652
Step 1 took 0ms
Step 2 took 12072ms
********** Factor found in step 2: 2895673422348270287896971851428136996882234389
Found prime factor of 46 digits: 2895673422348270287896971851428136996882234389
Prime cofactor 1146927573132714335742111428161452113427037721810506477298333915600276908389771388239518353322703778431846561424281406780335828706081895668018205137090246470525109 has 163 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:10:24 UTC 2022 年 3 月 25 日 (金) 3 時 10 分 24 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 16, 2022 07:46:05 UTC 2022 年 5 月 16 日 (月) 16 時 46 分 5 秒 (日本時間)

791×10278-89

c237

name 名前Dmitry Domanov
date 日付March 28, 2022 16:55:01 UTC 2022 年 3 月 29 日 (火) 1 時 55 分 1 秒 (日本時間)
composite number 合成数
111390480381543763880315905668612933400068025553828630389494170292668491626498218276216053637287361970372604870721206914687261491768487709644665582392102895608953810047702369742635461537193495598513641480267608898803083073313134675616213<237>
prime factors 素因数
404285555902330184870972544759022681<36>
composite cofactor 合成数の残り
275524264360446673598109006604916550438451454611307750306370339498572724904623040817797226817184520156941104617382936317044774103682862733980490556945994860279116914916489544752515101527825138742020573<201>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e746e3b325c9 with GMP-ECM 7.0.5-dev on Sun Mar 27 23:22:04 2022 
Input number is 111390480381543763880315905668612933400068025553828630389494170292668491626498218276216053637287361970372604870721206914687261491768487709644665582392102895608953810047702369742635461537193495598513641480267608898803083073313134675616213 (237 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1702286075
Step 1 took 0ms
Step 2 took 5878ms
********** Factor found in step 2: 404285555902330184870972544759022681
Found prime factor of 36 digits: 404285555902330184870972544759022681
Composite cofactor 275524264360446673598109006604916550438451454611307750306370339498572724904623040817797226817184520156941104617382936317044774103682862733980490556945994860279116914916489544752515101527825138742020573 has 201 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:03:30 UTC 2022 年 3 月 28 日 (月) 7 時 3 分 30 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 8, 2022 23:27:03 UTC 2022 年 5 月 9 日 (月) 8 時 27 分 3 秒 (日本時間)

791×10280-89

c193

composite cofactor 合成数の残り
2071600713448664821857012373121257863079806792946525762955696153900703758593864931284569316557252607347233614270669286426668364776570957272685916753463609816014149272912378749391065364630629381<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 19, 2022 12:44:14 UTC 2022 年 3 月 19 日 (土) 21 時 44 分 14 秒 (日本時間)
4511e64480Ignacio SantosMarch 22, 2022 22:58:04 UTC 2022 年 3 月 23 日 (水) 7 時 58 分 4 秒 (日本時間)

791×10281-89

c255

composite cofactor 合成数の残り
386179839094460602869113497294055437292420707478346556838363268674454621534064385724736536950047030572380865001211255326744816630121589280494045082144704460114843388755752065080630361530948151562778540498413775859592147117754914274922621958508050093590941<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:10:33 UTC 2022 年 3 月 25 日 (金) 3 時 10 分 33 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 16, 2022 07:46:13 UTC 2022 年 5 月 16 日 (月) 16 時 46 分 13 秒 (日本時間)

791×10282-89

c256

composite cofactor 合成数の残り
6916490993231882332865168119349798705103997224562967541889980968534683257490331343460416934222929230310610712921627646298471464265914271195303059296811083550411711584431345333878281831754634861565651604191784475757146299666016250016274189986088171951716001<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:11:32 UTC 2022 年 3 月 25 日 (金) 3 時 11 分 32 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 16, 2022 07:45:43 UTC 2022 年 5 月 16 日 (月) 16 時 45 分 43 秒 (日本時間)

791×10283-89

c260

composite cofactor 合成数の残り
17678311946204994769397282475275621866691306324338736704296644399669420770625132367613068262737348314279332313999190571810437218653359544117708278512603290741190855676927506723316306252132012209555789304823938138176774423792370856673014941401484922434406992803<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:11:39 UTC 2022 年 3 月 25 日 (金) 3 時 11 分 39 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 16, 2022 07:45:44 UTC 2022 年 5 月 16 日 (月) 16 時 45 分 44 秒 (日本時間)

791×10284-89

c236

composite cofactor 合成数の残り
12553510109327557145700260231798577699473109724213863410563497989812324484641351567460058509433968120876219333979868438795096491140749742167432910964354207818160477794363979330957712994178808231800730201983608681276531422037209755335327<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:03:43 UTC 2022 年 3 月 28 日 (月) 7 時 3 分 43 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:02:58 UTC 2022 年 5 月 23 日 (月) 1 時 2 分 58 秒 (日本時間)

791×10286-89

c247

name 名前Dmitry Domanov
date 日付May 25, 2022 13:28:33 UTC 2022 年 5 月 25 日 (水) 22 時 28 分 33 秒 (日本時間)
composite number 合成数
3851313315853948911405285194183164037996820259151175280400235204938616239504824121289876099753595702150704392360884739391272777104436819314033028813526641195876860199681229848282246463598769000071146646650155988311628018904550114829732597695836357<247>
prime factors 素因数
63579642149612950288225289976027540437<38>
composite cofactor 合成数の残り
60574630269091476863428629344740783637206525707443394568044279741919178446042156942928495242131898668527176320716434261840079258916307446083190122483323768807707593223876262238723038618486894795834604527098161<209>
factorization results 素因数分解の結果
Resuming ECM residue saved by @428c36c4fe72 with GMP-ECM 7.0.5-dev on Mon May 23 05:07:04 2022 
Input number is 3851313315853948911405285194183164037996820259151175280400235204938616239504824121289876099753595702150704392360884739391272777104436819314033028813526641195876860199681229848282246463598769000071146646650155988311628018904550114829732597695836357 (247 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2893969241
Step 1 took 0ms
Step 2 took 14193ms
********** Factor found in step 2: 63579642149612950288225289976027540437
Found prime factor of 38 digits: 63579642149612950288225289976027540437
Composite cofactor 60574630269091476863428629344740783637206525707443394568044279741919178446042156942928495242131898668527176320716434261840079258916307446083190122483323768807707593223876262238723038618486894795834604527098161 has 209 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:03:51 UTC 2022 年 3 月 28 日 (月) 7 時 3 分 51 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:03:07 UTC 2022 年 5 月 23 日 (月) 1 時 3 分 7 秒 (日本時間)

791×10287-89

c241

composite cofactor 合成数の残り
2175374979980764321947209061203037391130781294506245208779979350856228977384900051877739403542527031552381556032908304245433906480439424286371360693429988763247856908140265771272315736272288941358199877279931166221980326885176079416657338031<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:03:58 UTC 2022 年 3 月 28 日 (月) 7 時 3 分 58 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:03:19 UTC 2022 年 5 月 23 日 (月) 1 時 3 分 19 秒 (日本時間)

791×10288-89

c202

composite cofactor 合成数の残り
9451437158941654448414571126278025106001010972270577663956971170303023682167754508297811934820578561460396230114590248106822586432942409476438523732106258910133409714393866349031376931869935593942856267<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 28, 2022 10:09:30 UTC 2022 年 3 月 28 日 (月) 19 時 9 分 30 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 8, 2022 23:27:14 UTC 2022 年 5 月 9 日 (月) 8 時 27 分 14 秒 (日本時間)

791×10290-89

c290

composite cofactor 合成数の残り
84508547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 18, 2022 22:31:28 UTC 2022 年 3 月 19 日 (土) 7 時 31 分 28 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 14, 2022 19:07:36 UTC 2022 年 5 月 15 日 (日) 4 時 7 分 36 秒 (日本時間)

791×10291-89

c288

composite cofactor 合成数の残り
475650998446166649829463181846608265623722176521241334853492276534230034684639178729320306148465649699576183535139243672819461882976625150933502667494094952206395250946491367325241854401485522410317838295497731788159116383561116643335113266273157168078586444608005849725553583197433048063<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 18, 2022 22:31:36 UTC 2022 年 3 月 19 日 (土) 7 時 31 分 36 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 14, 2022 19:07:49 UTC 2022 年 5 月 15 日 (日) 4 時 7 分 49 秒 (日本時間)

791×10292-89

c208

name 名前Dmitry Domanov
date 日付March 29, 2022 14:19:26 UTC 2022 年 3 月 29 日 (火) 23 時 19 分 26 秒 (日本時間)
composite number 合成数
1425463835560902879492456180103310592641785814882514837377787100735927354785283904378396846824496410179645310996731500408973508112467622747259621594716908551694823473429883741009453278814546858242689912755753<208>
prime factors 素因数
8800420791008241377161259618802961727<37>
161976781498602771498402008133107700181970819491964353295924520341077383726277564108918966928200385672111797151543183668868161313444171056087901939618768824196588625689239<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1275443474
Step 1 took 9747ms
********** Factor found in step 1: 8800420791008241377161259618802961727
Found prime factor of 37 digits: 8800420791008241377161259618802961727
Prime cofactor 161976781498602771498402008133107700181970819491964353295924520341077383726277564108918966928200385672111797151543183668868161313444171056087901939618768824196588625689239 has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 28, 2022 10:09:38 UTC 2022 年 3 月 28 日 (月) 19 時 9 分 38 秒 (日本時間)

791×10294-89

c293

name 名前Dmitry Domanov
date 日付March 19, 2022 14:27:22 UTC 2022 年 3 月 19 日 (土) 23 時 27 分 22 秒 (日本時間)
composite number 合成数
39376742333731581043409000398247710075667064914376742333731581043409000398247710075667064914376742333731581043409000398247710075667064914376742333731581043409000398247710075667064914376742333731581043409000398247710075667064914376742333731581043409000398247710075667064914376742333731581043409<293>
prime factors 素因数
202930293167784607097825934644102357169214259<45>
composite cofactor 合成数の残り
194040730533881076640473031524611928176846701502914619965586392469479096637931622212441142200716530769299301847570456718516793082130566988554039310476868436967359724933836941649327298342765286627479756586969808130934380421233920604069353495697551851<249>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4e38d54ee872 with GMP-ECM 7.0.5-dev on Fri Mar 18 23:09:08 2022 
Input number is 39376742333731581043409000398247710075667064914376742333731581043409000398247710075667064914376742333731581043409000398247710075667064914376742333731581043409000398247710075667064914376742333731581043409000398247710075667064914376742333731581043409000398247710075667064914376742333731581043409 (293 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4052550287
Step 1 took 0ms
Step 2 took 13712ms
********** Factor found in step 2: 202930293167784607097825934644102357169214259
Found prime factor of 45 digits: 202930293167784607097825934644102357169214259
Composite cofactor 194040730533881076640473031524611928176846701502914619965586392469479096637931622212441142200716530769299301847570456718516793082130566988554039310476868436967359724933836941649327298342765286627479756586969808130934380421233920604069353495697551851 has 249 digits

c249

name 名前Dmitry Domanov
date 日付May 24, 2022 13:36:28 UTC 2022 年 5 月 24 日 (火) 22 時 36 分 28 秒 (日本時間)
composite number 合成数
194040730533881076640473031524611928176846701502914619965586392469479096637931622212441142200716530769299301847570456718516793082130566988554039310476868436967359724933836941649327298342765286627479756586969808130934380421233920604069353495697551851<249>
prime factors 素因数
2083291801340718493282791837222230994168299<43>
composite cofactor 合成数の残り
93141407463421431968328232700809128932653471939623700514752471330099549152922227476299124008497539464064357025553749976555522851107407722076738615241685389274763589005299281884882500158736176105705123534849<206>
factorization results 素因数分解の結果
Resuming ECM residue saved by @428c36c4fe72 with GMP-ECM 7.0.5-dev on Mon May 23 05:39:51 2022 
Input number is 194040730533881076640473031524611928176846701502914619965586392469479096637931622212441142200716530769299301847570456718516793082130566988554039310476868436967359724933836941649327298342765286627479756586969808130934380421233920604069353495697551851 (249 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2762746253
Step 1 took 0ms
Step 2 took 14942ms
********** Factor found in step 2: 2083291801340718493282791837222230994168299
Found prime factor of 43 digits: 2083291801340718493282791837222230994168299
Composite cofactor 93141407463421431968328232700809128932653471939623700514752471330099549152922227476299124008497539464064357025553749976555522851107407722076738615241685389274763589005299281884882500158736176105705123534849 has 206 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 18, 2022 22:31:44 UTC 2022 年 3 月 19 日 (土) 7 時 31 分 44 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:03:29 UTC 2022 年 5 月 23 日 (月) 1 時 3 分 29 秒 (日本時間)

791×10295-89

c240

composite cofactor 合成数の残り
106546351212841191384584669334373769180723523952983209674906113007625048528425949727497648884361733440723533843204205937630458125684312511548775676196774000667746525665107373835151136583942638637083351271448233412433487173268781302903900033<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:04:06 UTC 2022 年 3 月 28 日 (月) 7 時 4 分 6 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 22, 2022 16:03:39 UTC 2022 年 5 月 23 日 (月) 1 時 3 分 39 秒 (日本時間)

791×10296-89

c256

composite cofactor 合成数の残り
5441176960260983018909680864144655242088516227925251403916538245266796188097695949711692903341780791600219345537147082266546843938811857668580897210319301633015434650586835497840323643550334313790084216291701113666592137506568293533777617333698464101534123<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:11:47 UTC 2022 年 3 月 25 日 (金) 3 時 11 分 47 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 16, 2022 07:45:52 UTC 2022 年 5 月 16 日 (月) 16 時 45 分 52 秒 (日本時間)

791×10297-89

c223

composite cofactor 合成数の残り
1930738428910097021440442453937931377896232695116992382099090777396397752795585905183577320926661939487783490399579280353590807002355189195125463384788327235862728850712106508473939319582158997121506339673028090434659626951<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 27, 2022 22:04:15 UTC 2022 年 3 月 28 日 (月) 7 時 4 分 15 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:56:51 UTC 2022 年 5 月 11 日 (水) 14 時 56 分 51 秒 (日本時間)

791×10299-89

c250

name 名前Dmitry Domanov
date 日付March 25, 2022 21:56:31 UTC 2022 年 3 月 26 日 (土) 6 時 56 分 31 秒 (日本時間)
composite number 合成数
5873362437282145459721280947839104816625935365593442533621497532763605913635450322214025798073780834812433112625762443398933048990649880646235793961841017533321444293397854967866361873931453688476994536252007401073769113430750938874393835294383193417<250>
prime factors 素因数
10544546999630920069248347586199019<35>
82626995148839173793249370362577367322008063<44>
composite cofactor 合成数の残り
6741195391167729391040610984237678818684324501886654308239107127415363995983242801969883404817803387046574027920801663453556929830424270175347700531970651166239437406716261<172>
factorization results 素因数分解の結果
Resuming ECM residue saved by @a745c4229aed with GMP-ECM 7.0.5-dev on Thu Mar 24 20:56:05 2022 
Input number is 5873362437282145459721280947839104816625935365593442533621497532763605913635450322214025798073780834812433112625762443398933048990649880646235793961841017533321444293397854967866361873931453688476994536252007401073769113430750938874393835294383193417 (250 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4214956590
Step 1 took 0ms
Step 2 took 14182ms
********** Factor found in step 2: 10544546999630920069248347586199019
Found prime factor of 35 digits: 10544546999630920069248347586199019
Composite cofactor 557004718883392972955130954976739696177985693856442506255065156034893046428970558759523212914129736430349486668376965136589774885558337785337886215358271676370880729192540019514608345858774268383512263011233395212443 has 216 digits
Resuming ECM residue saved by @a745c4229aed with GMP-ECM 7.0.5-dev on Thu Mar 24 20:56:05 2022 
Input number is 557004718883392972955130954976739696177985693856442506255065156034893046428970558759523212914129736430349486668376965136589774885558337785337886215358271676370880729192540019514608345858774268383512263011233395212443 (216 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4214956589
--
Resuming ECM residue saved by @a745c4229aed with GMP-ECM 7.0.5-dev on Thu Mar 24 20:56:06 2022 
Input number is 557004718883392972955130954976739696177985693856442506255065156034893046428970558759523212914129736430349486668376965136589774885558337785337886215358271676370880729192540019514608345858774268383512263011233395212443 (216 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4214955905
Step 1 took 0ms
Step 2 took 11905ms
********** Factor found in step 2: 82626995148839173793249370362577367322008063
Found prime factor of 44 digits: 82626995148839173793249370362577367322008063
Composite cofactor 6741195391167729391040610984237678818684324501886654308239107127415363995983242801969883404817803387046574027920801663453556929830424270175347700531970651166239437406716261 has 172 digits

c172

name 名前Ignacio Santos
date 日付March 26, 2022 21:18:12 UTC 2022 年 3 月 27 日 (日) 6 時 18 分 12 秒 (日本時間)
composite number 合成数
6741195391167729391040610984237678818684324501886654308239107127415363995983242801969883404817803387046574027920801663453556929830424270175347700531970651166239437406716261<172>
prime factors 素因数
14127324960081816542855349520531999174036349<44>
composite cofactor 合成数の残り
477174228682051116725368904990952499500432448014015078952724031512856258089428990515958579603155500050912295005598702922003898889<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:849568131
Step 1 took 4875ms
Step 2 took 2921ms
********** Factor found in step 2: 14127324960081816542855349520531999174036349
Found prime factor of 44 digits: 14127324960081816542855349520531999174036349
Composite cofactor 477174228682051116725368904990952499500432448014015078952724031512856258089428990515958579603155500050912295005598702922003898889 has 129 digits
 
software ソフトウェア
GMP-ECM

c129

name 名前Eric Jeancolas
date 日付March 29, 2022 19:16:09 UTC 2022 年 3 月 30 日 (水) 4 時 16 分 9 秒 (日本時間)
composite number 合成数
477174228682051116725368904990952499500432448014015078952724031512856258089428990515958579603155500050912295005598702922003898889<129>
prime factors 素因数
80443732635774868605935470556515241636009676864416346233707<59>
5931776324235887061834711113703832776860905209368657938536312285358427<70>
factorization results 素因数分解の結果
477174228682051116725368904990952499500432448014015078952724031512856258089428990515958579603155500050912295005598702922003898889=80443732635774868605935470556515241636009676864416346233707*5931776324235887061834711113703832776860905209368657938536312285358427

cado polynomial
n: 477174228682051116725368904990952499500432448014015078952724031512856258089428990515958579603155500050912295005598702922003898889
skew: 8513.798
c0: -846493462325824797775027650
c1: 372055546553342307791171
c2: 6098623341261572175
c3: -15835071425485241
c4: -87115433070
c5: -9563400
Y0: -3756593747234208131054381
Y1: 174016366759264049
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.062e-07
# f(x) = -9563400*x^5-87115433070*x^4-15835071425485241*x^3+6098623341261572175*x^2+372055546553342307791171*x-846493462325824797775027650
# g(x) = 174016366759264049*x-3756593747234208131054381

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5931776324235887061834711113703832776860905209368657938536312285358427 80443732635774868605935470556515241636009676864416346233707
Info:Square Root: Total cpu/real time for sqrt: 960.05/123.366
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 582.47/463.478
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 409.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 314.05/335.306
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 8869.91
Info:Polynomial Selection (root optimized): Rootsieve time: 8866.11
Info:Filtering - Merging: Merged matrix has 1655362 rows and total weight 281862456 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 469.01/57.016
Info:Filtering - Merging: Total cpu/real time for replay: 61.79/47.5364
Info:Linear Algebra: Total cpu time for bwc: 55546.1
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23792038
Info:Lattice Sieving: Average J: 7571.29 for 59397 special-q, max bucket fill -bkmult 1.0,1s:1.076000
Info:Lattice Sieving: Total time: 177610s
Info:Generate Factor Base: Total cpu/real time for makefb: 47.43/5.15693
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 214.65/198.456
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 198.1s
Info:Quadratic Characters: Total cpu/real time for characters: 68.67/16.3175
Info:Generate Free Relations: Total cpu/real time for freerel: 335.42/29.4684
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38655/38.670/45.926/49.360/0.842
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30583/37.680/41.185/46.730/0.951
Info:Polynomial Selection (size optimized): Total time: 8313.76
Info:Square Root: Total cpu/real time for sqrt: 960.05/123.366
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 351984/143.195
5931776324235887061834711113703832776860905209368657938536312285358427 80443732635774868605935470556515241636009676864416346233707
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 24, 2022 18:11:56 UTC 2022 年 3 月 25 日 (金) 3 時 11 分 56 秒 (日本時間)
2350Ignacio SantosMarch 27, 2022 15:39:16 UTC 2022 年 3 月 28 日 (月) 0 時 39 分 16 秒 (日本時間)

791×10300-89

c291

composite cofactor 合成数の残り
147926147880356435022026909806948688342340644545254405836859167007903680797441962354227792247855739458359793718785353348223745086177488474850238835062408707807307696948045945002960047902271019766016987517997508034293559011601677847579695835693281212442205827419304053050377551618713591314677<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 18, 2022 22:31:52 UTC 2022 年 3 月 19 日 (土) 7 時 31 分 52 秒 (日本時間)
4511e635841792Dmitry DomanovMarch 20, 2022 16:11:29 UTC 2022 年 3 月 21 日 (月) 1 時 11 分 29 秒 (日本時間)
1792Dmitry DomanovMarch 21, 2022 16:29:49 UTC 2022 年 3 月 22 日 (火) 1 時 29 分 49 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovMarch 22, 2022 08:45:50 UTC 2022 年 3 月 22 日 (火) 17 時 45 分 50 秒 (日本時間)