Table of contents 目次

61×10117-349

c109

name 名前Dmitry Domanov
date 日付November 7, 2022 16:41:35 UTC 2022 年 11 月 8 日 (火) 1 時 41 分 35 秒 (日本時間)
composite number 合成数
6066380918922886842723268255344941689756659976242115057558620733146562671649304745140518553751661100152551997<109>
prime factors 素因数
970218558368132909502935743381318134000297183322197491<54>
6252592126382622657793859329723886544525624364516881167<55>
factorization results 素因数分解の結果
N=6066380918922886842723268255344941689756659976242115057558620733146562671649304745140518553751661100152551997
  ( 109 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=970218558368132909502935743381318134000297183322197491 (pp54)
 r2=6252592126382622657793859329723886544525624364516881167 (pp55)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.45 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6066380918922886842723268255344941689756659976242115057558620733146562671649304745140518553751661100152551997
m: 100000000000000000000000000000
deg: 4
c4: 305
c0: -17
skew: 0.49
# Murphy_E = 4.698e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56794 x 57019
Total sieving time: 0.45 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 0.45 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10119-349

c107

name 名前Dmitry Domanov
date 日付November 7, 2022 17:02:58 UTC 2022 年 11 月 8 日 (火) 2 時 2 分 58 秒 (日本時間)
composite number 合成数
51063885539903797723156166876359467191122034645399883681451132145242236748240508667615687478884203206558811<107>
prime factors 素因数
65454474220513768646060537827831981<35>
780143544776960618146467776362517000903706733368990162612231771620475431<72>
factorization results 素因数分解の結果
N=51063885539903797723156166876359467191122034645399883681451132145242236748240508667615687478884203206558811
  ( 107 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=65454474220513768646060537827831981 (pp35)
 r2=780143544776960618146467776362517000903706733368990162612231771620475431 (pp72)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.67 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 51063885539903797723156166876359467191122034645399883681451132145242236748240508667615687478884203206558811
m: 500000000000000000000000000000
deg: 4
c4: 244
c0: -85
skew: 0.77
# Murphy_E = 3.261e-08
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 665001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65881 x 66106
Total sieving time: 0.66 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 0.67 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10120-349

c117

name 名前Dmitry Domanov
date 日付November 7, 2022 17:25:46 UTC 2022 年 11 月 8 日 (火) 2 時 25 分 46 秒 (日本時間)
composite number 合成数
146192523570548677317151498593196535476851252702165087308092355329316633833263831969668646257231736719248043177123027<117>
prime factors 素因数
9540347656498479509318105029909787219886873174770717273429<58>
15323605473744821147806497899660372762876456599503640093063<59>
factorization results 素因数分解の結果
N=146192523570548677317151498593196535476851252702165087308092355329316633833263831969668646257231736719248043177123027
  ( 117 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=9540347656498479509318105029909787219886873174770717273429 (pp58)
 r2=15323605473744821147806497899660372762876456599503640093063 (pp59)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.79 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 146192523570548677317151498593196535476851252702165087308092355329316633833263831969668646257231736719248043177123027
m: 1000000000000000000000000000000
deg: 4
c4: 61
c0: -34
skew: 0.86
# Murphy_E = 3.112e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69879 x 70104
Total sieving time: 0.79 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
total time: 0.79 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10126-349

c121

name 名前Dmitry Domanov
date 日付November 7, 2022 22:50:02 UTC 2022 年 11 月 8 日 (火) 7 時 50 分 2 秒 (日本時間)
composite number 合成数
6361207728471118135552956845775334239753293593512986353436626832992435168343627018823126514827766650878357648789170179409<121>
prime factors 素因数
11823131019783708109360258685811728755218169<44>
538030722811654151643847394152105210697972623146855133598994978042380198151961<78>
factorization results 素因数分解の結果
N=6361207728471118135552956845775334239753293593512986353436626832992435168343627018823126514827766650878357648789170179409
  ( 121 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=11823131019783708109360258685811728755218169 (pp44)
 r2=538030722811654151643847394152105210697972623146855133598994978042380198151961 (pp78)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6361207728471118135552956845775334239753293593512986353436626832992435168343627018823126514827766650878357648789170179409
m: 10000000000000000000000000000000
deg: 4
c4: 3050
c0: -17
skew: 0.27
# Murphy_E = 1.601e-08
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 840001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 135236 x 135465
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,75000
total time: 0.02 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10138-349

c105

name 名前Eric Jeancolas
date 日付November 11, 2022 17:50:02 UTC 2022 年 11 月 12 日 (土) 2 時 50 分 2 秒 (日本時間)
composite number 合成数
485109928550646175897165476047451974323198011763766335734166292007294820141255527379205658652129607986111<105>
prime factors 素因数
682288477455196638608955746136819790445501455743703<51>
711004134732000587091975355780586092600933856428859737<54>
factorization results 素因数分解の結果
485109928550646175897165476047451974323198011763766335734166292007294820141255527379205658652129607986111=682288477455196638608955746136819790445501455743703*711004134732000587091975355780586092600933856428859737

cado polynomial
n: 485109928550646175897165476047451974323198011763766335734166292007294820141255527379205658652129607986111
skew: 0.27
type: snfs
c0: -17
c4: 3050
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 3050*x^4-17
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1480000
tasks.lim1 = 1480000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 682288477455196638608955746136819790445501455743703 711004134732000587091975355780586092600933856428859737
Info:Square Root: Total cpu/real time for sqrt: 66.28/12.9332
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.26/0.292942
Info:Generate Free Relations: Total cpu/real time for freerel: 36.46/5.00891
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6071825
Info:Lattice Sieving: Average J: 1897.32 for 104492 special-q, max bucket fill -bkmult 1.0,1s:1.103390
Info:Lattice Sieving: Total time: 14230.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 15.9/10.9631
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 10.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 67.51/21.3829
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 19.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.93/23.7656
Info:Filtering - Merging: Merged matrix has 163761 rows and total weight 27900238 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.14/6.48584
Info:Filtering - Merging: Total cpu/real time for replay: 5.17/4.23029
Info:Linear Algebra: Total cpu/real time for bwc: 304.79/82.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 48.21, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5248 iterations)
Info:Linear Algebra: Lingen CPU time 14.72, WCT time 4.01
Info:Linear Algebra: Mksol: WCT time 26.63, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2560 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 6.31/1.54392
Info:Square Root: Total cpu/real time for sqrt: 66.28/12.9332
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 31248.3/7481.41
Info:root: Cleaning up computation data in /tmp/cado.sqfnqse7
682288477455196638608955746136819790445501455743703 711004134732000587091975355780586092600933856428859737
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10142-349

c134

name 名前Bob Backstrom
date 日付November 8, 2022 15:48:36 UTC 2022 年 11 月 9 日 (水) 0 時 48 分 36 秒 (日本時間)
composite number 合成数
67238625264525928209584791385561401989295027535256488833604453469261227441108613011000746359101798163812039918563019715566625087910121<134>
prime factors 素因数
153063782341689967070628114434452854834028571162487187697023877<63>
439285010705057891272757403695060015005399350660333820221745361853252373<72>
factorization results 素因数分解の結果
Number: n
N=67238625264525928209584791385561401989295027535256488833604453469261227441108613011000746359101798163812039918563019715566625087910121  ( 134 digits)
SNFS difficulty: 143 digits.
Divisors found:

Wed Nov  9 02:36:11 2022  p63 factor: 153063782341689967070628114434452854834028571162487187697023877
Wed Nov  9 02:36:11 2022  p72 factor: 439285010705057891272757403695060015005399350660333820221745361853252373
Wed Nov  9 02:36:11 2022  elapsed time 00:04:29 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 61x10^142-34 = 67(141)4
#
n: 67238625264525928209584791385561401989295027535256488833604453469261227441108613011000746359101798163812039918563019715566625087910121
m: 100000000000000000000000000000000000
deg: 4
c4: 3050
c0: -17
skew: 0.27
# Murphy_E = 2.607e-09
type: snfs
lss: 1
rlim: 1720000
alim: 1720000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1720000/1720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6460000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 614369 hash collisions in 7403238 relations (7580205 unique)
Msieve: matrix is 246040 x 246288 (81.0 MB)

Sieving start time : 2022/11/09 02:07:20
Sieving end time  : 2022/11/09 02:31:27

Total sieving time: 0hrs 24min 7secs.

Total relation processing time: 0hrs 1min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,143,4,0,0,0,0,0,0,0,0,1720000,1720000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10146-349

c118

name 名前Eric Jeancolas
date 日付November 16, 2022 05:31:30 UTC 2022 年 11 月 16 日 (水) 14 時 31 分 30 秒 (日本時間)
composite number 合成数
6330310554460515456600374087767104559291261277707261713359983240094431698134054622858000102846339581339682920087393791<118>
prime factors 素因数
152499461340116449067321945897284459<36>
41510379766798995380584932961297352864663407117335109206984108703311039280050626749<83>
factorization results 素因数分解の結果
6330310554460515456600374087767104559291261277707261713359983240094431698134054622858000102846339581339682920087393791=152499461340116449067321945897284459*41510379766798995380584932961297352864663407117335109206984108703311039280050626749

cado polynomial
n: 6330310554460515456600374087767104559291261277707261713359983240094431698134054622858000102846339581339682920087393791
skew: 41521.145
c0: 5135624376755193760180744440
c1: -268976599036337320887827
c2: -5005756506757636920
c3: 84493766869629
c4: 3453159058
c5: 47880
Y0: -48265887101152298231734
Y1: 6326827528790767
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.747e-06
# f(x) = 47880*x^5+3453159058*x^4+84493766869629*x^3-5005756506757636920*x^2-268976599036337320887827*x+5135624376755193760180744440
# g(x) = 6326827528790767*x-48265887101152298231734

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

cado log (extracts)
Info:Square Root: Factors: 152499461340116449067321945897284459 41510379766798995380584932961297352864663407117335109206984108703311039280050626749
Info:Square Root: Total cpu/real time for sqrt: 798.07/106.503
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20300/34.400/42.038/47.100/1.033
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16024/33.820/37.188/42.460/0.803
Info:Polynomial Selection (size optimized): Total time: 3189.16
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1442.25
Info:Polynomial Selection (root optimized): Rootsieve time: 1394.48
Info:Generate Factor Base: Total cpu/real time for makefb: 9.13/1.38933
Info:Generate Free Relations: Total cpu/real time for freerel: 135.07/16.9969
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13451891
Info:Lattice Sieving: Average J: 1904.37 for 211039 special-q, max bucket fill -bkmult 1.0,1s:1.211730
Info:Lattice Sieving: Total time: 45321.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.15/63.0714
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 63.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 153.97/106.455
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.17/61.3103
Info:Filtering - Merging: Merged matrix has 592471 rows and total weight 59872187 (101.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.57/7.57136
Info:Filtering - Merging: Total cpu/real time for replay: 12.59/10.0072
Info:Linear Algebra: Total cpu/real time for bwc: 2223.64/585.57
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 347.59, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Linear Algebra: Lingen CPU time 56.24, WCT time 15.29
Info:Linear Algebra: Mksol: WCT time 211.22, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 26.72/5.98317
Info:Square Root: Total cpu/real time for sqrt: 798.07/106.503
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 112319/13068
Info:root: Cleaning up computation data in /tmp/cado.4j8zme1n
152499461340116449067321945897284459 41510379766798995380584932961297352864663407117335109206984108703311039280050626749
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10151-349

c133

name 名前Ignacio Santos
date 日付November 21, 2022 12:06:00 UTC 2022 年 11 月 21 日 (月) 21 時 6 分 0 秒 (日本時間)
composite number 合成数
7329042531259210026868569680619347592522520858989377781880894123899575676441890724694580319631792351104562864889083979846155195980431<133>
prime factors 素因数
392584156128121558344425958108570586123186752968374880231009<60>
18668717055579147991435003019119456021328314515215090133794971850943250159<74>
factorization results 素因数分解の結果
Number: 1
N=7329042531259210026868569680619347592522520858989377781880894123899575676441890724694580319631792351104562864889083979846155195980431
  ( 133 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=392584156128121558344425958108570586123186752968374880231009 (pp60)
 r2=18668717055579147991435003019119456021328314515215090133794971850943250159 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.12 hours.
Scaled time: 86.67 units (timescale=7.794).
Factorization parameters were as follows:
n: 7329042531259210026868569680619347592522520858989377781880894123899575676441890724694580319631792351104562864889083979846155195980431
m: 1000000000000000000000000000000
deg: 5
c5: 305
c0: -17
skew: 0.56
# Murphy_E = 9.421e-10
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 447680 x 447907
Total sieving time: 11.03 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 11.12 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10152-349

c110

name 名前Eric Jeancolas
date 日付November 8, 2022 20:57:57 UTC 2022 年 11 月 9 日 (水) 5 時 57 分 57 秒 (日本時間)
composite number 合成数
27437102172951739559093671406123174303818834196907620410051747148077187059314327333582066272676410886921450637<110>
prime factors 素因数
1521717285858543031981131438789337<34>
18030354539524011718797009916689368696926419747298931214210416276098000434901<77>
factorization results 素因数分解の結果
27437102172951739559093671406123174303818834196907620410051747148077187059314327333582066272676410886921450637=1521717285858543031981131438789337*18030354539524011718797009916689368696926419747298931214210416276098000434901

cado polynomial
n: 27437102172951739559093671406123174303818834196907620410051747148077187059314327333582066272676410886921450637
skew: 8112.537
c0: 200132145962694757075030
c1: -315135691063305909425
c2: -201759751019413306
c3: 7742009031221
c4: 732981192
c5: 46080
Y0: -1365875802440000209557
Y1: 169924273946981
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.605e-06
# f(x) = 46080*x^5+732981192*x^4+7742009031221*x^3-201759751019413306*x^2-315135691063305909425*x+200132145962694757075030
# g(x) = 169924273946981*x-1365875802440000209557

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: 1521717285858543031981131438789337 18030354539524011718797009916689368696926419747298931214210416276098000434901
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): 11799/32.160/38.858/44.360/1.061
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9259/30.980/34.436/39.300/0.874
Info:Polynomial Selection (size optimized): Total time: 1001.8
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 285.79
Info:Polynomial Selection (root optimized): Rootsieve time: 269.26
Info:Generate Factor Base: Total cpu/real time for makefb: 2.68/0.41456
Info:Generate Free Relations: Total cpu/real time for freerel: 70.74/8.90609
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5355575
Info:Lattice Sieving: Average J: 1888.17 for 94452 special-q, max bucket fill -bkmult 1.0,1s:1.216060
Info:Lattice Sieving: Total time: 20634s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 14.67/28.4356
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 27.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 123.93/97.6414
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.42/102.346
Info:Filtering - Merging: Merged matrix has 292737 rows and total weight 45892756 (156.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 64.93/9.41693
Info:Filtering - Merging: Total cpu/real time for replay: 9.68/7.89862
Info:Linear Algebra: Total cpu/real time for bwc: 882.81/232.17
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 137.87, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Linear Algebra: Lingen CPU time 28.9, WCT time 7.87
Info:Linear Algebra: Mksol: WCT time 80.39, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 12.42/3.23625
Info:Square Root: Total cpu/real time for sqrt: 523.33/70.7284
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 49036.2/5808.96
Info:root: Cleaning up computation data in /tmp/cado.fh09ygqb
1521717285858543031981131438789337 18030354539524011718797009916689368696926419747298931214210416276098000434901
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10153-349

c117

name 名前Eric Jeancolas
date 日付November 15, 2022 10:39:48 UTC 2022 年 11 月 15 日 (火) 19 時 39 分 48 秒 (日本時間)
composite number 合成数
114813111624401162782642479850900291758285412010778793899045396138986228066071004140749195078503902029511014820323281<117>
prime factors 素因数
109515158465688929839830684789683524858109<42>
1048376436951164895270112047029136899624629915425625427427771144046356036709<76>
factorization results 素因数分解の結果
114813111624401162782642479850900291758285412010778793899045396138986228066071004140749195078503902029511014820323281=109515158465688929839830684789683524858109*1048376436951164895270112047029136899624629915425625427427771144046356036709

cado polynomial
n: 114813111624401162782642479850900291758285412010778793899045396138986228066071004140749195078503902029511014820323281
skew: 25280.761
c0: -87203667434141980375888500
c1: 65833439080361813409217
c2: 1890545796813713860
c3: -72274382563169
c4: -2378160912
c5: 48960
Y0: -32725645351925054547713
Y1: 265217833073881
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.449e-07
# f(x) = 48960*x^5-2378160912*x^4-72274382563169*x^3+1890545796813713860*x^2+65833439080361813409217*x-87203667434141980375888500
# g(x) = 265217833073881*x-32725645351925054547713

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: 109515158465688929839830684789683524858109 1048376436951164895270112047029136899624629915425625427427771144046356036709
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): 21597/34.620/41.458/50.730/1.079
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17099/32.380/36.678/41.870/0.837
Info:Polynomial Selection (size optimized): Total time: 2215.33
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 400.61
Info:Polynomial Selection (root optimized): Rootsieve time: 380.76
Info:Generate Factor Base: Total cpu/real time for makefb: 4.49/0.729436
Info:Generate Free Relations: Total cpu/real time for freerel: 67.5/8.50754
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7476678
Info:Lattice Sieving: Average J: 1904.46 for 182582 special-q, max bucket fill -bkmult 1.0,1s:1.266490
Info:Lattice Sieving: Total time: 33277.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.67/23.5604
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.899999999999995s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 146.69/107.394
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 91.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.14/104.496
Info:Filtering - Merging: Merged matrix has 462692 rows and total weight 72507524 (156.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 82.85/12.5271
Info:Filtering - Merging: Total cpu/real time for replay: 14.36/11.6863
Info:Linear Algebra: Total cpu/real time for bwc: 1916.39/501.76
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 302.18, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations)
Info:Linear Algebra: Lingen CPU time 43.3, WCT time 11.78
Info:Linear Algebra: Mksol: WCT time 178.65, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 19.44/4.86006
Info:Square Root: Total cpu/real time for sqrt: 696.76/93.4035
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 82860.7/9458.67
Info:root: Cleaning up computation data in /tmp/cado.5utuomve
109515158465688929839830684789683524858109 1048376436951164895270112047029136899624629915425625427427771144046356036709
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10157-349

c130

name 名前Bob Backstrom
date 日付November 10, 2022 05:16:45 UTC 2022 年 11 月 10 日 (木) 14 時 16 分 45 秒 (日本時間)
composite number 合成数
3690642788312415411894213824276956676255838533254586756854349547264654490332466180756344079175910790973515617758028003386383425361<130>
prime factors 素因数
23845241449981505777146046127236466100682765057741425206731<59>
154774813081847734939984370403371606312399803529345798900034280894155731<72>
factorization results 素因数分解の結果
Number: n
N=3690642788312415411894213824276956676255838533254586756854349547264654490332466180756344079175910790973515617758028003386383425361  ( 130 digits)
SNFS difficulty: 158 digits.
Divisors found:

Thu Nov 10 16:12:27 2022  p59 factor: 23845241449981505777146046127236466100682765057741425206731
Thu Nov 10 16:12:27 2022  p72 factor: 154774813081847734939984370403371606312399803529345798900034280894155731
Thu Nov 10 16:12:27 2022  elapsed time 00:09:52 (Msieve 1.54 - dependency 9)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 61x10^157-34 = 67(156)4
#
n: 3690642788312415411894213824276956676255838533254586756854349547264654490332466180756344079175910790973515617758028003386383425361
m: 1000000000000000000000000000000000000000
deg: 4
c4: 305
c0: -17
skew: 0.49
# Murphy_E = 4.845e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 21550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1532586 hash collisions in 13546869 relations (13332957 unique)
Msieve: matrix is 520914 x 521140 (174.9 MB)

Sieving start time : 2022/11/10 14:25:02
Sieving end time  : 2022/11/10 16:01:58

Total sieving time: 1hrs 36min 56secs.

Total relation processing time: 0hrs 3min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 7sec.

Prototype def-par.txt line would be:
snfs,158,4,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10161-349

c143

name 名前Bob Backstrom
date 日付November 11, 2022 17:04:40 UTC 2022 年 11 月 12 日 (土) 2 時 4 分 40 秒 (日本時間)
composite number 合成数
57994077971455797800788197003987393368016186855567566812694256222645187273705216733566076661032421025263284284028314242407024951064505669644227<143>
prime factors 素因数
16884645302778456271550988009549258015144056489<47>
3434722905426539839908037411893358351441588113245582790104902487343267489207006595685996215816843<97>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 57994077971455797800788197003987393368016186855567566812694256222645187273705216733566076661032421025263284284028314242407024951064505669644227 (143 digits)
Using B1=38330000, B2=192391699516, polynomial Dickson(12), sigma=1:2684414383
Step 1 took 74092ms
Step 2 took 26206ms
********** Factor found in step 2: 16884645302778456271550988009549258015144056489
Found prime factor of 47 digits: 16884645302778456271550988009549258015144056489
Prime cofactor 3434722905426539839908037411893358351441588113245582790104902487343267489207006595685996215816843 has 97 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10163-349

c147

name 名前Bob Backstrom
date 日付November 13, 2022 16:31:44 UTC 2022 年 11 月 14 日 (月) 1 時 31 分 44 秒 (日本時間)
composite number 合成数
551276158962514140991025190108552953454119351508868901022315352416270212508929866855838332028306048019574588040529047400816930416359559402981455607<147>
prime factors 素因数
1784049756997641250331750438023805517467847937300675455949274299114070861<73>
309002681567722105277392932972863099475223668278334407121645173279432808787<75>
factorization results 素因数分解の結果
Number: n
N=551276158962514140991025190108552953454119351508868901022315352416270212508929866855838332028306048019574588040529047400816930416359559402981455607  ( 147 digits)
SNFS difficulty: 164 digits.
Divisors found:

Mon Nov 14 03:19:45 2022  p73 factor: 1784049756997641250331750438023805517467847937300675455949274299114070861
Mon Nov 14 03:19:45 2022  p75 factor: 309002681567722105277392932972863099475223668278334407121645173279432808787
Mon Nov 14 03:19:45 2022  elapsed time 00:08:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 61x10^163-34 = 67(162)4
#
n: 551276158962514140991025190108552953454119351508868901022315352416270212508929866855838332028306048019574588040529047400816930416359559402981455607
m: 100000000000000000000000000000000
deg: 5
c5: 30500
c0: -17
skew: 0.22
# Murphy_E = 2.72e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1926945 hash collisions in 14611358 relations (13481293 unique)
Msieve: matrix is 543847 x 544074 (186.2 MB)

Sieving start time : 2022/11/14 02:19:58
Sieving end time  : 2022/11/14 03:11:06

Total sieving time: 0hrs 51min 8secs.

Total relation processing time: 0hrs 4min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 38sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10167-349

c114

name 名前Eric Jeancolas
date 日付November 8, 2022 16:12:47 UTC 2022 年 11 月 9 日 (水) 1 時 12 分 47 秒 (日本時間)
composite number 合成数
192525894980288848693983768514587245487671786731005615208382819196909434528456877760593125391450075412649766919031<114>
prime factors 素因数
2355250753640126522183287406053573244598439562143<49>
81743268602178773807943988692676375300750097077301080922643538217<65>
factorization results 素因数分解の結果
192525894980288848693983768514587245487671786731005615208382819196909434528456877760593125391450075412649766919031=2355250753640126522183287406053573244598439562143*81743268602178773807943988692676375300750097077301080922643538217

cado polynomial
n: 192525894980288848693983768514587245487671786731005615208382819196909434528456877760593125391450075412649766919031
skew: 22573.444
c0: 21049167923795983501182270
c1: 2128913074376576682751
c2: -951511172458186098
c3: -12014533107427
c4: 1068625008
c5: 1440
Y0: -19997602342147567620639
Y1: 90016827057487
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.214e-06
# f(x) = 1440*x^5+1068625008*x^4-12014533107427*x^3-951511172458186098*x^2+2128913074376576682751*x+21049167923795983501182270
# g(x) = 90016827057487*x-19997602342147567620639

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: 2355250753640126522183287406053573244598439562143 81743268602178773807943988692676375300750097077301080922643538217
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): 21912/33.240/40.356/45.740/1.068
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17058/32.620/35.711/40.800/0.822
Info:Polynomial Selection (size optimized): Total time: 2739.4
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 386.14
Info:Polynomial Selection (root optimized): Rootsieve time: 367.01
Info:Generate Factor Base: Total cpu/real time for makefb: 7.77/1.19287
Info:Generate Free Relations: Total cpu/real time for freerel: 75.16/9.46056
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6814933
Info:Lattice Sieving: Average J: 1890.44 for 116443 special-q, max bucket fill -bkmult 1.0,1s:1.247170
Info:Lattice Sieving: Total time: 30571.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.36/30.9359
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 142.53/115.806
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.60000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 111.73/91.5973
Info:Filtering - Merging: Merged matrix has 418826 rows and total weight 65619586 (156.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 91.34/13.3779
Info:Filtering - Merging: Total cpu/real time for replay: 14.1/11.4906
Info:Linear Algebra: Total cpu/real time for bwc: 1814.61/477.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 293.85, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 45.03, WCT time 12.25
Info:Linear Algebra: Mksol: WCT time 162.56, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 19.03/4.84895
Info:Square Root: Total cpu/real time for sqrt: 777.14/104.995
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 74726.4/8880.35
Info:root: Cleaning up computation data in /tmp/cado.2pfshevi
2355250753640126522183287406053573244598439562143 81743268602178773807943988692676375300750097077301080922643538217
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 8, 2022 15:05:47 UTC 2022 年 11 月 9 日 (水) 0 時 5 分 47 秒 (日本時間)

61×10170-349

c163

name 名前Bob Backstrom
date 日付November 13, 2022 09:46:55 UTC 2022 年 11 月 13 日 (日) 18 時 46 分 55 秒 (日本時間)
composite number 合成数
4498903957104788681901103054695162299516430809266634683737178037063035785074176918035166504383825681508242535605517019788072093109800112797405042817905397611059283<163>
prime factors 素因数
82732995275206387662313995680601609131732285320071931627686032687584648477<74>
54378593959271657845992655079646079744314328096491334726878615908918693060860248680824879<89>
factorization results 素因数分解の結果
Number: n
N=4498903957104788681901103054695162299516430809266634683737178037063035785074176918035166504383825681508242535605517019788072093109800112797405042817905397611059283  ( 163 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sun Nov 13 20:23:49 2022  p74 factor: 82732995275206387662313995680601609131732285320071931627686032687584648477
Sun Nov 13 20:23:49 2022  p89 factor: 54378593959271657845992655079646079744314328096491334726878615908918693060860248680824879
Sun Nov 13 20:23:49 2022  elapsed time 00:11:47 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 61x10^170-34 = 67(169)4
#
n: 4498903957104788681901103054695162299516430809266634683737178037063035785074176918035166504383825681508242535605517019788072093109800112797405042817905397611059283
m: 10000000000000000000000000000000000
deg: 5
c5: 61
c0: -34
skew: 0.89
# Murphy_E = 1.896e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2275591 hash collisions in 16455049 relations (15080795 unique)
Msieve: matrix is 669378 x 669604 (231.2 MB)

Sieving start time : 2022/11/13 19:00:45
Sieving end time  : 2022/11/13 20:11:42

Total sieving time: 1hrs 10min 57secs.

Total relation processing time: 0hrs 6min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 15sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10171-349

c157

name 名前Bob Backstrom
date 日付November 11, 2022 23:06:12 UTC 2022 年 11 月 12 日 (土) 8 時 6 分 12 秒 (日本時間)
composite number 合成数
3299896651158099871692104654047829063090193072770918124474955268725837440448498889135905726212348743545402172759312537247935830499641630969540742285002328413<157>
prime factors 素因数
566325727416370347342679951228831640981<39>
5826852801147723855680600645365059335091075501944764318961088061983337583490386632856561383957505426647300614499592873<118>
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 3299896651158099871692104654047829063090193072770918124474955268725837440448498889135905726212348743545402172759312537247935830499641630969540742285002328413 (157 digits)
Using B1=26860000, B2=144285831706, polynomial Dickson(12), sigma=1:2227557818
Step 1 took 63592ms
Step 2 took 24534ms
********** Factor found in step 2: 566325727416370347342679951228831640981
Found prime factor of 39 digits: 566325727416370347342679951228831640981
Prime cofactor 5826852801147723855680600645365059335091075501944764318961088061983337583490386632856561383957505426647300614499592873 has 118 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10172-349

c126

name 名前Eric Jeancolas
date 日付November 17, 2022 17:37:12 UTC 2022 年 11 月 18 日 (金) 2 時 37 分 12 秒 (日本時間)
composite number 合成数
590390151682164609876369333160993441391010710384119008906463140952581436346692325839820869325014454070387945714667068619450613<126>
prime factors 素因数
544725006363780786239451550860350253880696887171238071400195483<63>
1083831556812883882896041736266659587655811227374081057685544111<64>
factorization results 素因数分解の結果
590390151682164609876369333160993441391010710384119008906463140952581436346692325839820869325014454070387945714667068619450613=544725006363780786239451550860350253880696887171238071400195483*1083831556812883882896041736266659587655811227374081057685544111

cado polynomial
n: 590390151682164609876369333160993441391010710384119008906463140952581436346692325839820869325014454070387945714667068619450613
skew: 32031.204
c0: 4306984469113243870633264605
c1: -50754447255350431828778
c2: -2458555080470526189
c3: -869134274332480
c4: -3616190838
c5: -112860
Y0: -2159725684476868948310182
Y1: 129955481179932839
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.420e-07
# f(x) = -112860*x^5-3616190838*x^4-869134274332480*x^3-2458555080470526189*x^2-50754447255350431828778*x+4306984469113243870633264605
# g(x) = 129955481179932839*x-2159725684476868948310182

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

cado log (extracts)
Info:Square Root: Factors: 544725006363780786239451550860350253880696887171238071400195483 1083831556812883882896041736266659587655811227374081057685544111
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19929/37.280/44.827/49.870/0.849
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15715/36.510/40.203/45.610/1.011
Info:Polynomial Selection (size optimized): Total time: 2666.09
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3210.38
Info:Polynomial Selection (root optimized): Rootsieve time: 3167.66
Info:Generate Factor Base: Total cpu/real time for makefb: 9.55/1.51897
Info:Generate Free Relations: Total cpu/real time for freerel: 141.15/17.7619
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12212450
Info:Lattice Sieving: Average J: 3784.63 for 245298 special-q, max bucket fill -bkmult 1.0,1s:1.167630
Info:Lattice Sieving: Total time: 108440s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.62/71.7138
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 71.29999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 248.11/223.2
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 198.60000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 184.98/192.903
Info:Filtering - Merging: Merged matrix has 813785 rows and total weight 138636187 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 163.51/24.5115
Info:Filtering - Merging: Total cpu/real time for replay: 27.16/22.024
Info:Linear Algebra: Total cpu/real time for bwc: 6723.93/1753.68
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1097.14, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 84.96, WCT time 23.01
Info:Linear Algebra: Mksol: WCT time 606.83, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 39.88/9.66393
Info:Square Root: Total cpu/real time for sqrt: 1446.77/191.767
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 244839/30223.6
Info:root: Cleaning up computation data in /tmp/cado.ymn1qtn7
544725006363780786239451550860350253880696887171238071400195483 1083831556812883882896041736266659587655811227374081057685544111
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10173-349

c134

name 名前Eric Jeancolas
date 日付December 10, 2022 05:42:06 UTC 2022 年 12 月 10 日 (土) 14 時 42 分 6 秒 (日本時間)
composite number 合成数
22300732883744534716581980623131671651639536183204601998359290514248682803632973192868773346563598349478037158323097027039615315192597<134>
prime factors 素因数
1855678554638034765877907811819296473598283025846013390575303<61>
12017562431815931890095638869177332118925892831829854530749326868020159299<74>
factorization results 素因数分解の結果
22300732883744534716581980623131671651639536183204601998359290514248682803632973192868773346563598349478037158323097027039615315192597=1855678554638034765877907811819296473598283025846013390575303*12017562431815931890095638869177332118925892831829854530749326868020159299

cado polynomial
n: 22300732883744534716581980623131671651639536183204601998359290514248682803632973192868773346563598349478037158323097027039615315192597
skew: 0.22
type: snfs
c0: -17
c5: 30500
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 30500*x^5-17
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5700000
tasks.lim1 = 5700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1855678554638034765877907811819296473598283025846013390575303 12017562431815931890095638869177332118925892831829854530749326868020159299
Info:Square Root: Total cpu/real time for sqrt: 312.53/98.4574
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 205.12/217.405
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 169.19999999999996s
Info:Square Root: Total cpu/real time for sqrt: 312.53/98.4574
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.49/53.0912
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.400000000000006s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 145.59/142.249
Info:Filtering - Merging: Merged matrix has 1089875 rows and total weight 185712263 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 259.51/72.9613
Info:Filtering - Merging: Total cpu/real time for replay: 39.32/34.3388
Info:Generate Factor Base: Total cpu/real time for makefb: 2.51/1.43062
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13034254
Info:Lattice Sieving: Average J: 1895.66 for 931335 special-q, max bucket fill -bkmult 1.0,1s:1.238080
Info:Lattice Sieving: Total time: 125208s
Info:Linear Algebra: Total cpu/real time for bwc: 18865.1/5093.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 11974.16, WCT time 3213.35, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
Info:Linear Algebra: Lingen CPU time 225.79, WCT time 59.06
Info:Linear Algebra: Mksol: CPU time 6483.77,  WCT time 1741.76, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17152 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 37.4/16.856
Info:Generate Free Relations: Total cpu/real time for freerel: 60.1/17.6562
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 248241/68344.1
Info:root: Cleaning up computation data in /tmp/cado.0ky7erxq
1855678554638034765877907811819296473598283025846013390575303 12017562431815931890095638869177332118925892831829854530749326868020159299
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10174-349

c149

name 名前Eric Jeancolas
date 日付December 12, 2022 05:13:46 UTC 2022 年 12 月 12 日 (月) 14 時 13 分 46 秒 (日本時間)
composite number 合成数
88887667768677159126472173952105870800695028283737230843727885508861706338495737806861572585769381467987768160270072913571709303857024893172433464289<149>
prime factors 素因数
122209675614191170953233499964945884942807219136262456172800957399<66>
727337400430472869500709847337885340948678892787658105219436641262627207273214607111<84>
factorization results 素因数分解の結果
88887667768677159126472173952105870800695028283737230843727885508861706338495737806861572585769381467987768160270072913571709303857024893172433464289=122209675614191170953233499964945884942807219136262456172800957399*727337400430472869500709847337885340948678892787658105219436641262627207273214607111

cado polynomial
n: 88887667768677159126472173952105870800695028283737230843727885508861706338495737806861572585769381467987768160270072913571709303857024893172433464289
skew: 0.71
type: snfs
c0: -85
c5: 488
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 488*x^5-85
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6000000
tasks.lim1 = 6000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 122209675614191170953233499964945884942807219136262456172800957399 727337400430472869500709847337885340948678892787658105219436641262627207273214607111
Info:Square Root: Total cpu/real time for sqrt: 212.9/68.6934
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 230.09/217.374
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 201.0s
Info:Square Root: Total cpu/real time for sqrt: 212.9/68.6934
Info:Generate Factor Base: Total cpu/real time for makefb: 2.59/1.54797
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.05/89.184
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 127.95/112.367
Info:Filtering - Merging: Merged matrix has 945841 rows and total weight 161360690 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 222.14/62.7421
Info:Filtering - Merging: Total cpu/real time for replay: 32.65/30.1642
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22427959
Info:Lattice Sieving: Average J: 1893.22 for 862450 special-q, max bucket fill -bkmult 1.0,1s:1.171100
Info:Lattice Sieving: Total time: 134622s
Info:Linear Algebra: Total cpu/real time for bwc: 13856.4/3742.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8757.73, WCT time 2350.82, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (29696 iterations)
Info:Linear Algebra: Lingen CPU time 177.74, WCT time 46.5
Info:Linear Algebra: Mksol: CPU time 4767.36,  WCT time 1287.21, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14848 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 31.63/13.7343
Info:Generate Free Relations: Total cpu/real time for freerel: 119.77/32.9066
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 261686/71983.4
Info:root: Cleaning up computation data in /tmp/cado.e1phc_lu
122209675614191170953233499964945884942807219136262456172800957399 727337400430472869500709847337885340948678892787658105219436641262627207273214607111
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10175-349

c159

name 名前Bob Backstrom
date 日付November 13, 2022 00:27:29 UTC 2022 年 11 月 13 日 (日) 9 時 27 分 29 秒 (日本時間)
composite number 合成数
538044251603833573208028404070013266552781438456282991723347873464987260670802724783246378725634066959797602773264248848046980985930082657233019652162010821441<159>
prime factors 素因数
342381699626596237579970452441189<33>
1330838347408453541177717627925531179130774329<46>
1180815773736531666433597696876461504053311670305493663831515049516456399991101461<82>
factorization results 素因数分解の結果
Number: n
N=538044251603833573208028404070013266552781438456282991723347873464987260670802724783246378725634066959797602773264248848046980985930082657233019652162010821441  ( 159 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sun Nov 13 11:20:46 2022  found factor: 1330838347408453541177717627925531179130774329
Sun Nov 13 11:21:37 2022  p33 factor: 342381699626596237579970452441189
Sun Nov 13 11:21:37 2022  p46 factor: 1330838347408453541177717627925531179130774329
Sun Nov 13 11:21:37 2022  p82 factor: 1180815773736531666433597696876461504053311670305493663831515049516456399991101461
Sun Nov 13 11:21:37 2022  elapsed time 00:17:37 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 61x10^175-34 = 67(174)4
#
n: 538044251603833573208028404070013266552781438456282991723347873464987260670802724783246378725634066959797602773264248848046980985930082657233019652162010821441
m: 100000000000000000000000000000000000
deg: 5
c5: 61
c0: -34
skew: 0.89
# Murphy_E = 1.197e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2369129 hash collisions in 15925519 relations (14357751 unique)
Msieve: matrix is 852681 x 852906 (295.3 MB)

Sieving start time : 2022/11/13 09:21:04
Sieving end time  : 2022/11/13 11:03:31

Total sieving time: 1hrs 42min 27secs.

Total relation processing time: 0hrs 10min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10176-349

c145

name 名前Eric Jeancolas
date 日付December 13, 2022 04:45:10 UTC 2022 年 12 月 13 日 (火) 13 時 45 分 10 秒 (日本時間)
composite number 合成数
9248136859737139423329752897302944877428924713624012463861560010893671132914150954666971080907080797449785727933942168929996899636741481948655177<145>
prime factors 素因数
7782830727012917615983932731736742895609521044894138863781264459703<67>
1188274187647225409543473733594958017439836411165289056829855972353608170600959<79>
factorization results 素因数分解の結果
9248136859737139423329752897302944877428924713624012463861560010893671132914150954666971080907080797449785727933942168929996899636741481948655177=7782830727012917615983932731736742895609521044894138863781264459703*1188274187647225409543473733594958017439836411165289056829855972353608170600959

cado polynomial
n: 9248136859737139423329752897302944877428924713624012463861560010893671132914150954666971080907080797449785727933942168929996899636741481948655177
skew: 0.56
type: snfs
c0: -17
c5: 305
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 305*x^5-17
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6400000
tasks.lim1 = 6400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1188274187647225409543473733594958017439836411165289056829855972353608170600959 7782830727012917615983932731736742895609521044894138863781264459703
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 276.41/87.7203
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 85.9/89.2818
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.0s
Info:Quadratic Characters: Total cpu/real time for characters: 36.65/15.882
Info:Filtering - Singleton removal: Total cpu/real time for purge: 115.83/100.967
Info:Filtering - Merging: Merged matrix has 1078196 rows and total weight 184324027 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 286.25/80.2675
Info:Filtering - Merging: Total cpu/real time for replay: 37.65/39.4507
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22414840
Info:Lattice Sieving: Average J: 1894.14 for 1017728 special-q, max bucket fill -bkmult 1.0,1s:1.172010
Info:Lattice Sieving: Total time: 157135s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.01/205.685
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 183.5s
Info:Linear Algebra: Total cpu/real time for bwc: 20074.9/5605.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12776.48, WCT time 3451.19, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
Info:Linear Algebra: Lingen CPU time 169.59, WCT time 171.73
Info:Linear Algebra: Mksol: CPU time 6914.41,  WCT time 1888.97, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (16896 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.71/1.4934
Info:Generate Free Relations: Total cpu/real time for freerel: 125.87/34.3958
Info:Square Root: Total cpu/real time for sqrt: 276.41/87.7203
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 308609/85160.4
Info:root: Cleaning up computation data in /tmp/cado.d0oi8080
1188274187647225409543473733594958017439836411165289056829855972353608170600959 7782830727012917615983932731736742895609521044894138863781264459703
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10178-349

c159

name 名前Bob Backstrom
date 日付November 24, 2022 02:15:16 UTC 2022 年 11 月 24 日 (木) 11 時 15 分 16 秒 (日本時間)
composite number 合成数
355844587937539772795282864150152002669540307489149614642951389284907767844637775431724186694819341856364672490376853277032997453776740348890967498845772010143<159>
prime factors 素因数
571737780355049936272368622336779196452535287758774275203245497199<66>
622391243266379565711180609596501614288639429323735518049676828804208140276279707921964770257<93>
factorization results 素因数分解の結果
Number: n
N=355844587937539772795282864150152002669540307489149614642951389284907767844637775431724186694819341856364672490376853277032997453776740348890967498845772010143  ( 159 digits)
SNFS difficulty: 179 digits.
Divisors found:

Thu Nov 24 10:12:06 2022  p66 factor: 571737780355049936272368622336779196452535287758774275203245497199
Thu Nov 24 10:12:06 2022  p93 factor: 622391243266379565711180609596501614288639429323735518049676828804208140276279707921964770257
Thu Nov 24 10:12:06 2022  elapsed time 00:22:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 61x10^178-34 = 67(177)4
#
n: 355844587937539772795282864150152002669540307489149614642951389284907767844637775431724186694819341856364672490376853277032997453776740348890967498845772010143
m: 100000000000000000000000000000000000
deg: 5
c5: 30500
c0: -17
skew: 0.22
# Murphy_E = 6.919e-11
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 30650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3178713 hash collisions in 17685949 relations (15221791 unique)
Msieve: matrix is 1021547 x 1021772 (350.5 MB)

Sieving start time : 2022/11/24 06:47:21
Sieving end time  : 2022/11/24 09:49:25

Total sieving time: 3hrs 2min 4secs.

Total relation processing time: 0hrs 16min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 20sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6900000,6900000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10180-349

c149

name 名前Eric Jeancolas
date 日付December 17, 2022 18:37:06 UTC 2022 年 12 月 18 日 (日) 3 時 37 分 6 秒 (日本時間)
composite number 合成数
35584746282076772076492760159528096735691443278561357634231494001721714521747269354829509792614945573197862518156586328130219513165710555975076399981<149>
prime factors 素因数
134538741639561700306619579202300729214658030750339880660525793<63>
264494418844875855040539992962130180284074863590141918218590488658213501399094629205517<87>
factorization results 素因数分解の結果
35584746282076772076492760159528096735691443278561357634231494001721714521747269354829509792614945573197862518156586328130219513165710555975076399981=134538741639561700306619579202300729214658030750339880660525793*264494418844875855040539992962130180284074863590141918218590488658213501399094629205517

cado polynomial
n: 35584746282076772076492760159528096735691443278561357634231494001721714521747269354829509792614945573197862518156586328130219513165710555975076399981
skew: 0.89
type: snfs
c0: -34
c5: 61
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 61*x^5-34
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7500000
tasks.lim1 = 7500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 134538741639561700306619579202300729214658030750339880660525793 264494418844875855040539992962130180284074863590141918218590488658213501399094629205517
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 308.27/99.437
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.1/85.8677
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.6s
Info:Quadratic Characters: Total cpu/real time for characters: 41.26/18.1674
Info:Filtering - Singleton removal: Total cpu/real time for purge: 112.22/101.945
Info:Filtering - Merging: Merged matrix has 1217464 rows and total weight 207761138 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 333.88/92.7692
Info:Filtering - Merging: Total cpu/real time for replay: 43.3/44.6691
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22411619
Info:Lattice Sieving: Average J: 1894 for 1162610 special-q, max bucket fill -bkmult 1.0,1s:1.184850
Info:Lattice Sieving: Total time: 189968s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.41/199.855
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 177.60000000000002s
Info:Linear Algebra: Total cpu/real time for bwc: 25828.6/7104.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 16470.92, WCT time 4405.29, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38144 iterations)
Info:Linear Algebra: Lingen CPU time 180.41, WCT time 183.1
Info:Linear Algebra: Mksol: CPU time 8929.19,  WCT time 2404.47, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19200 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.16/1.92798
Info:Generate Free Relations: Total cpu/real time for freerel: 126.28/34.5115
Info:Square Root: Total cpu/real time for sqrt: 308.27/99.437
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 377789/103077
Info:root: Cleaning up computation data in /tmp/cado.b8726zpb
134538741639561700306619579202300729214658030750339880660525793 264494418844875855040539992962130180284074863590141918218590488658213501399094629205517
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10181-349

c168

name 名前Bob Backstrom
date 日付November 17, 2022 05:06:38 UTC 2022 年 11 月 17 日 (木) 14 時 6 分 38 秒 (日本時間)
composite number 合成数
697211348577742291201320219630963141224150045842206832406889977068624528228239783849963722547282973629370527141240468134090728112366274794900894124235527523824394753657<168>
prime factors 素因数
15790566601887967221830009356883220111518012804135419<53>
44153662509765901855550747084680970927954038072597935273102595049053405846625032276995683810553557465650882536184603<116>
factorization results 素因数分解の結果
Number: n
N=697211348577742291201320219630963141224150045842206832406889977068624528228239783849963722547282973629370527141240468134090728112366274794900894124235527523824394753657  ( 168 digits)
SNFS difficulty: 182 digits.
Divisors found:

Thu Nov 17 14:06:07 2022  p53 factor: 15790566601887967221830009356883220111518012804135419
Thu Nov 17 14:06:07 2022  p116 factor: 44153662509765901855550747084680970927954038072597935273102595049053405846625032276995683810553557465650882536184603
Thu Nov 17 14:06:07 2022  elapsed time 00:29:01 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 61x10^181-34 = 67(180)4
#
n: 697211348577742291201320219630963141224150045842206832406889977068624528228239783849963722547282973629370527141240468134090728112366274794900894124235527523824394753657
m: 1000000000000000000000000000000000000
deg: 5
c5: 305
c0: -17
skew: 0.56
# Murphy_E = 6.223e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1346381 hash collisions in 12365581 relations (11750124 unique)
Msieve: matrix is 1107556 x 1107781 (383.9 MB)

Sieving start time : 2022/11/17 10:50:30
Sieving end time  : 2022/11/17 13:36:47

Total sieving time: 2hrs 46min 17secs.

Total relation processing time: 0hrs 19min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 50sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10182-349

c179

name 名前Bob Backstrom
date 日付November 15, 2022 13:30:42 UTC 2022 年 11 月 15 日 (火) 22 時 30 分 42 秒 (日本時間)
composite number 合成数
32834888953482113059673373596443066455662134375437349955323019948540731410608360516315171871803981095716392683740808922477365457696820936817061223610976541894088643434637039907847<179>
prime factors 素因数
49076165478158247373458015622094888868025018013615503768458198342569289937150497839<83>
669059789687430886962683440393256342969220301720777309066652502466948962834768580617373586370473<96>
factorization results 素因数分解の結果
Number: n
N=32834888953482113059673373596443066455662134375437349955323019948540731410608360516315171871803981095716392683740808922477365457696820936817061223610976541894088643434637039907847  ( 179 digits)
SNFS difficulty: 183 digits.
Divisors found:

Wed Nov 16 00:05:23 2022  p83 factor: 49076165478158247373458015622094888868025018013615503768458198342569289937150497839
Wed Nov 16 00:05:23 2022  p96 factor: 669059789687430886962683440393256342969220301720777309066652502466948962834768580617373586370473
Wed Nov 16 00:05:23 2022  elapsed time 00:29:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
# N = 61x10^182-34 = 67(181)4
#
n: 32834888953482113059673373596443066455662134375437349955323019948540731410608360516315171871803981095716392683740808922477365457696820936817061223610976541894088643434637039907847
m: 1000000000000000000000000000000000000
deg: 5
c5: 3050
c0: -17
skew: 0.35
# Murphy_E = 4.904e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1570459 hash collisions in 12805262 relations (11948434 unique)
Msieve: matrix is 1184616 x 1184841 (412.1 MB)

Sieving start time : 2022/11/15 19:58:11
Sieving end time  : 2022/11/15 23:35:28

Total sieving time: 3hrs 37min 17secs.

Total relation processing time: 0hrs 22min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10184-349

c176

name 名前Bob Backstrom
date 日付November 15, 2022 17:54:28 UTC 2022 年 11 月 16 日 (水) 2 時 54 分 28 秒 (日本時間)
composite number 合成数
38237619343592011955262234602053919982571929978949008319384039803307686989692932234953379912819057841003834312884543913851703741212342684640394285689878829912565128706251445983<176>
prime factors 素因数
14034666764611369344898994138402063216469758278277104874657406180225970319183831<80>
2724512094580596967626662822544101664667723733385748278215624716860556074811784078971276589428793<97>
factorization results 素因数分解の結果
Number: n
N=38237619343592011955262234602053919982571929978949008319384039803307686989692932234953379912819057841003834312884543913851703741212342684640394285689878829912565128706251445983  ( 176 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Nov 16 04:40:36 2022  p80 factor: 14034666764611369344898994138402063216469758278277104874657406180225970319183831
Wed Nov 16 04:40:36 2022  p97 factor: 2724512094580596967626662822544101664667723733385748278215624716860556074811784078971276589428793
Wed Nov 16 04:40:36 2022  elapsed time 00:35:35 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 61x10^184-34 = 67(183)4
#
n: 38237619343592011955262234602053919982571929978949008319384039803307686989692932234953379912819057841003834312884543913851703741212342684640394285689878829912565128706251445983
m: 5000000000000000000000000000000000000
deg: 5
c5: 488
c0: -85
skew: 0.71
# Murphy_E = 4.624e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1539183 hash collisions in 13477056 relations (12726367 unique)
Msieve: matrix is 1249663 x 1249888 (436.9 MB)

Sieving start time : 2022/11/16 00:35:49
Sieving end time  : 2022/11/16 04:04:41

Total sieving time: 3hrs 28min 52secs.

Total relation processing time: 0hrs 27min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 34sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10185-349

c143

name 名前Eric Jeancolas
date 日付December 25, 2022 07:40:47 UTC 2022 年 12 月 25 日 (日) 16 時 40 分 47 秒 (日本時間)
composite number 合成数
33432072918024518039183364669208125218441061235176791610089861224978385726355957297203585023349635968861966863211313120058845405739416141114223<143>
prime factors 素因数
92609853637341043869145831977472629905540551<44>
10065178187850938620294235280017496428018465407<47>
35866140031054870702822910628128386999586711897537639<53>
factorization results 素因数分解の結果
33432072918024518039183364669208125218441061235176791610089861224978385726355957297203585023349635968861966863211313120058845405739416141114223=92609853637341043869145831977472629905540551*10065178187850938620294235280017496428018465407*35866140031054870702822910628128386999586711897537639

cado polynomial
n: 33432072918024518039183364669208125218441061235176791610089861224978385726355957297203585023349635968861966863211313120058845405739416141114223
skew: 0.89
type: snfs
c0: -34
c5: 61
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 61*x^5-34
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9100000
tasks.lim1 = 9100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 92609853637341043869145831977472629905540551 10065178187850938620294235280017496428018465407 35866140031054870702822910628128386999586711897537639
Info:Square Root: Total cpu/real time for sqrt: 862.8/270.769
Info:Generate Free Relations: Total cpu/real time for freerel: 117.37/31.3693
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 408.47/421.825
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 346.0999999999999s
Info:Square Root: Total cpu/real time for sqrt: 862.8/270.769
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.02/98.7636
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 98.10000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 285.48/274.296
Info:Filtering - Merging: Merged matrix has 1793024 rows and total weight 304870184 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 465.84/130.061
Info:Filtering - Merging: Total cpu/real time for replay: 68.21/60.1127
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24289524
Info:Lattice Sieving: Average J: 1894.14 for 1646549 special-q, max bucket fill -bkmult 1.0,1s:1.161170
Info:Lattice Sieving: Total time: 300620s
Info:Linear Algebra: Total cpu/real time for bwc: 53219.4/14147
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 34058.54, WCT time 8983.77, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56064 iterations)
Info:Linear Algebra: Lingen CPU time 362.82, WCT time 94.11
Info:Linear Algebra: Mksol: CPU time 18464.84,  WCT time 4939.21, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 63.75/27.612
Info:Generate Factor Base: Total cpu/real time for makefb: 3.86/2.11135
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 611274/165689
Info:root: Cleaning up computation data in /tmp/cado.yuq35s2x
92609853637341043869145831977472629905540551 10065178187850938620294235280017496428018465407 35866140031054870702822910628128386999586711897537639
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10189-349

c126

name 名前Eric Jeancolas
date 日付November 10, 2022 08:28:24 UTC 2022 年 11 月 10 日 (木) 17 時 28 分 24 秒 (日本時間)
composite number 合成数
231934382090290164631679555588006929192825152744595115724117521891188973715073932861606719009158514930220055219729620108862157<126>
prime factors 素因数
26995477833972851780806440161649094383954798259<47>
8591601286583227934672882063196260169716304261533417919038590924539120085405823<79>
factorization results 素因数分解の結果
231934382090290164631679555588006929192825152744595115724117521891188973715073932861606719009158514930220055219729620108862157=26995477833972851780806440161649094383954798259*8591601286583227934672882063196260169716304261533417919038590924539120085405823

cado polynomial
n: 231934382090290164631679555588006929192825152744595115724117521891188973715073932861606719009158514930220055219729620108862157
skew: 16732.434
c0: 1746479199087744245454875644
c1: 115555930671773556527060
c2: -12552146561147564195
c3: -1111072162724635
c4: 19099724736
c5: -1212000
Y0: -1088910786585613515710655
Y1: 1431843708270041
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.444e-07
# f(x) = -1212000*x^5+19099724736*x^4-1111072162724635*x^3-12552146561147564195*x^2+115555930671773556527060*x+1746479199087744245454875644
# g(x) = 1431843708270041*x-1088910786585613515710655

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

cado log (extracts)
Info:Square Root: Factors: 26995477833972851780806440161649094383954798259 8591601286583227934672882063196260169716304261533417919038590924539120085405823
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20084/36.640/44.670/48.980/0.874
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16102/36.490/40.059/45.460/1.006
Info:Polynomial Selection (size optimized): Total time: 3143.97
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3326.95
Info:Polynomial Selection (root optimized): Rootsieve time: 3277.28
Info:Generate Factor Base: Total cpu/real time for makefb: 9.35/1.48486
Info:Generate Free Relations: Total cpu/real time for freerel: 148.51/18.673
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12250044
Info:Lattice Sieving: Average J: 3782.17 for 248836 special-q, max bucket fill -bkmult 1.0,1s:1.152180
Info:Lattice Sieving: Total time: 133818s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 35.12/74.9518
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 74.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 279.05/246.569
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 219.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 214.23/231.904
Info:Filtering - Merging: Merged matrix has 819206 rows and total weight 140476396 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 215.42/31.215
Info:Filtering - Merging: Total cpu/real time for replay: 30.26/25.1336
Info:Linear Algebra: Total cpu/real time for bwc: 8063.75/2124.76
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1338.35, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Linear Algebra: Lingen CPU time 96.43, WCT time 26.14
Info:Linear Algebra: Mksol: WCT time 725.37, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 37.29/9.74504
Info:Square Root: Total cpu/real time for sqrt: 1923.23/254.153
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 287404/37163.8
Info:root: Cleaning up computation data in /tmp/cado.203edryc
26995477833972851780806440161649094383954798259 8591601286583227934672882063196260169716304261533417919038590924539120085405823
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 8, 2022 13:34:05 UTC 2022 年 11 月 8 日 (火) 22 時 34 分 5 秒 (日本時間)

61×10190-349

c161

name 名前Bob Backstrom
date 日付November 18, 2022 09:26:43 UTC 2022 年 11 月 18 日 (金) 18 時 26 分 43 秒 (日本時間)
composite number 合成数
17887619740388301582400055778189048540257425904336835446222135913092578317023313046918144213223927893156581587765761980065757579158622788204414442070718709894673<161>
prime factors 素因数
2136921970293754137029722440546009861010427591<46>
8370740714472303294968080687645078783528084777404349863298211185244190211813441235851661142436423268200307701580903<115>
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 17887619740388301582400055778189048540257425904336835446222135913092578317023313046918144213223927893156581587765761980065757579158622788204414442070718709894673 (161 digits)
Using B1=29040000, B2=144288594466, polynomial Dickson(12), sigma=1:1592144992
Step 1 took 68849ms
Step 2 took 24561ms
********** Factor found in step 2: 2136921970293754137029722440546009861010427591
Found prime factor of 46 digits: 2136921970293754137029722440546009861010427591
Prime cofactor 8370740714472303294968080687645078783528084777404349863298211185244190211813441235851661142436423268200307701580903 has 115 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 17, 2022 14:26:19 UTC 2022 年 11 月 17 日 (木) 23 時 26 分 19 秒 (日本時間)
2350Ignacio SantosNovember 17, 2022 16:15:05 UTC 2022 年 11 月 18 日 (金) 1 時 15 分 5 秒 (日本時間)

61×10195-349

c171

name 名前Bob Backstrom
date 日付December 17, 2022 17:56:54 UTC 2022 年 12 月 18 日 (日) 2 時 56 分 54 秒 (日本時間)
composite number 合成数
517093344513600340020096936860172470908149528092453943684824993174536467967394047741068948247584496234665566090807787668179990128740652871389114642383554728487377177939853<171>
prime factors 素因数
1310158216236254986626800881779905149403706019532229658469892218421792023966551<79>
394680076120176926718948105262713840881717434547409237234030351587425552884856281749706230203<93>
factorization results 素因数分解の結果
Number: n
N=517093344513600340020096936860172470908149528092453943684824993174536467967394047741068948247584496234665566090807787668179990128740652871389114642383554728487377177939853  ( 171 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Dec 18 04:40:02 2022  p79 factor: 1310158216236254986626800881779905149403706019532229658469892218421792023966551
Sun Dec 18 04:40:02 2022  p93 factor: 394680076120176926718948105262713840881717434547409237234030351587425552884856281749706230203
Sun Dec 18 04:40:02 2022  elapsed time 01:29:08 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 61x10^195-34 = 67(194)4
#
n: 517093344513600340020096936860172470908149528092453943684824993174536467967394047741068948247584496234665566090807787668179990128740652871389114642383554728487377177939853
m: 1000000000000000000000000000000000000000
deg: 5
c5: 61
c0: -34
skew: 0.89
# Murphy_E = 1.822e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1889211 hash collisions in 13479778 relations (12276849 unique)
Msieve: matrix is 1969728 x 1969953 (689.1 MB)

Sieving start time : 2022/12/17 19:48:22
Sieving end time  : 2022/12/18 03:10:30

Total sieving time: 7hrs 22min 8secs.

Total relation processing time: 1hrs 14min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 18sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovNovember 17, 2022 14:26:34 UTC 2022 年 11 月 17 日 (木) 23 時 26 分 34 秒 (日本時間)

61×10196-349

c172

name 名前Ignacio Santos
date 日付December 18, 2022 10:43:26 UTC 2022 年 12 月 18 日 (日) 19 時 43 分 26 秒 (日本時間)
composite number 合成数
3864530957298031448746145615853259723878003747681945967988859212451042053046628332537127511662156381125322574956344870383874265274520740490239135461944599009467552952814763<172>
prime factors 素因数
12711466464214386543926500892987332657<38>
304019285908321285939181301729311887627198683758949588015819369761782671754893237120875468955783454780218827304540984931602193301084059<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1210585290
Step 1 took 6391ms
Step 2 took 3109ms
********** Factor found in step 2: 12711466464214386543926500892987332657
Found prime factor of 38 digits: 12711466464214386543926500892987332657
Prime cofactor 304019285908321285939181301729311887627198683758949588015819369761782671754893237120875468955783454780218827304540984931602193301084059 has 135 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 JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovNovember 17, 2022 14:26:46 UTC 2022 年 11 月 17 日 (木) 23 時 26 分 46 秒 (日本時間)

61×10198-349

c183

name 名前Bob Backstrom
date 日付February 17, 2023 17:08:31 UTC 2023 年 2 月 18 日 (土) 2 時 8 分 31 秒 (日本時間)
composite number 合成数
480360705929361195075533624806424453845000319249487017964696182893989843613079020607187517357877822954868619799099707436663644406521908801427895327510024384243350266173937209147902289<183>
prime factors 素因数
6046835722290483401362096070457839925538961<43>
79440012593463538782265695772814985615930585063637136940650120074245582267747152231351735575880719985349015090466240664852103418054823341249<140>
factorization results 素因数分解の結果
Number: n
N=480360705929361195075533624806424453845000319249487017964696182893989843613079020607187517357877822954868619799099707436663644406521908801427895327510024384243350266173937209147902289  ( 183 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Feb 18 03:58:54 2023  prp43 factor: 6046835722290483401362096070457839925538961
Sat Feb 18 03:58:54 2023  prp140 factor: 79440012593463538782265695772814985615930585063637136940650120074245582267747152231351735575880719985349015090466240664852103418054823341249
Sat Feb 18 03:58:54 2023  elapsed time 03:30:05 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 61x10^198-34 = 67(197)4
#
n: 480360705929361195075533624806424453845000319249487017964696182893989843613079020607187517357877822954868619799099707436663644406521908801427895327510024384243350266173937209147902289
m: 1000000000000000000000000000000000000000
deg: 5
c5: 30500
c0: -17
skew: 0.22
# Murphy_E = 1.048e-11
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 54350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2322507 hash collisions in 14617737 relations (12954283 unique)
Msieve: matrix is 2540259 x 2540483 (717.5 MB)

Sieving start time: 2023/02/17 03:07:44
Sieving end time  : 2023/02/18 00:28:31

Total sieving time: 21hrs 20min 47secs.

Total relation processing time: 3hrs 22min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 35sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14300000,14300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 17, 2022 14:26:58 UTC 2022 年 11 月 17 日 (木) 23 時 26 分 58 秒 (日本時間)
2350Ignacio SantosFebruary 15, 2023 11:48:46 UTC 2023 年 2 月 15 日 (水) 20 時 48 分 46 秒 (日本時間)

61×10199-349

c158

name 名前Eric Jeancolas
date 日付July 4, 2023 02:49:41 UTC 2023 年 7 月 4 日 (火) 11 時 49 分 41 秒 (日本時間)
composite number 合成数
48519460810126212234386523695712270698695176824476025793177135136176414516819977914274753452512745820191391088170054090306255756344655765830137111709822817399<158>
prime factors 素因数
3623723642269591021022589512043989623921309313329654228068138599539<67>
13389393231912620571224633877159282317381842765530010057012989133881130585457230562836181741<92>
factorization results 素因数分解の結果
48519460810126212234386523695712270698695176824476025793177135136176414516819977914274753452512745820191391088170054090306255756344655765830137111709822817399=3623723642269591021022589512043989623921309313329654228068138599539*13389393231912620571224633877159282317381842765530010057012989133881130585457230562836181741

cado polynomial
n: 48519460810126212234386523695712270698695176824476025793177135136176414516819977914274753452512745820191391088170054090306255756344655765830137111709822817399
skew: 0.71
type: snfs
c0: -85
c5: 488
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 488*x^5-85
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15800000
tasks.lim1 = 15800000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3623723642269591021022589512043989623921309313329654228068138599539 13389393231912620571224633877159282317381842765530010057012989133881130585457230562836181741
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3721.23/196.41
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 109017/13495.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 71551.76, WCT time 8875.64, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.05, comm-wait 0.0 (89600 iterations)
Info:Linear Algebra: Lingen CPU time 537.8, WCT time 34.7
Info:Linear Algebra: Mksol: CPU time 36261.58,  WCT time 4510.53, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.05, comm-wait 0.0 (45056 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/0.367444
Info:Square Root: Total cpu/real time for sqrt: 3721.23/196.41
Info:Generate Free Relations: Total cpu/real time for freerel: 136.46/12.0075
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 168.15/128.904
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 128.8s
Info:Quadratic Characters: Total cpu/real time for characters: 83.23/15.7959
Info:Filtering - Singleton removal: Total cpu/real time for purge: 152.25/77.5883
Info:Filtering - Merging: Merged matrix has 2852137 rows and total weight 485205051 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 625.66/37.5388
Info:Filtering - Merging: Total cpu/real time for replay: 54.47/47.6146
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43288734
Info:Lattice Sieving: Average J: 3790.86 for 1698385 special-q, max bucket fill -bkmult 1.0,1s:1.121060
Info:Lattice Sieving: Total time: 604042s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 393.34/232.462
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 210.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.26456e+06/64962.5
Info:root: Cleaning up computation data in /tmp/cado.13tj91yi
3623723642269591021022589512043989623921309313329654228068138599539 13389393231912620571224633877159282317381842765530010057012989133881130585457230562836181741
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 17, 2022 14:27:21 UTC 2022 年 11 月 17 日 (木) 23 時 27 分 21 秒 (日本時間)
2350Ignacio SantosMay 23, 2023 14:19:43 UTC 2023 年 5 月 23 日 (火) 23 時 19 分 43 秒 (日本時間)

61×10201-349

c175

name 名前Bob Backstrom
date 日付August 1, 2023 21:12:15 UTC 2023 年 8 月 2 日 (水) 6 時 12 分 15 秒 (日本時間)
composite number 合成数
2526247556138549447686022787296960532425456226370063936108580494494934808056649065549560695224556309766576350935893163449495494462255172188263242777646292700434769186702049463<175>
prime factors 素因数
65828973813333029468603199972464212856908982208443775388496804715372508282297759679<83>
38375921874493540266134093409412479937910068636086062667477987027363509236662858710839391497<92>
factorization results 素因数分解の結果
Number: n
N=2526247556138549447686022787296960532425456226370063936108580494494934808056649065549560695224556309766576350935893163449495494462255172188263242777646292700434769186702049463  ( 175 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Aug  1 16:56:42 2023  prp83 factor: 65828973813333029468603199972464212856908982208443775388496804715372508282297759679
Tue Aug  1 16:56:42 2023  prp92 factor: 38375921874493540266134093409412479937910068636086062667477987027363509236662858710839391497
Tue Aug  1 16:56:42 2023  elapsed time 03:09:45 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 61x10^201-34 = 67(200)4
#
n: 2526247556138549447686022787296960532425456226370063936108580494494934808056649065549560695224556309766576350935893163449495494462255172188263242777646292700434769186702049463
m: 10000000000000000000000000000000000000000
deg: 5
c5: 305
c0: -17
skew: 0.56
# Murphy_E = 9.296e-12
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3449732 hash collisions in 18169602 relations (15363443 unique)
Msieve: matrix is 2391278 x 2391503 (673.4 MB)

Sieving start time: 2023/07/31 20:05:18
Sieving end time  : 2023/08/01 13:46:35

Total sieving time: 17hrs 41min 17secs.

Total relation processing time: 2hrs 55min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 43sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 2, 2022 11:20:49 UTC 2022 年 12 月 2 日 (金) 20 時 20 分 49 秒 (日本時間)
2350Ignacio SantosJuly 9, 2023 14:14:51 UTC 2023 年 7 月 9 日 (日) 23 時 14 分 51 秒 (日本時間)

61×10205-349

c203

name 名前Bob Backstrom
date 日付April 10, 2024 20:07:07 UTC 2024 年 4 月 11 日 (木) 5 時 7 分 7 秒 (日本時間)
composite number 合成数
28406445003259755983980627735866629412312564030921113905187668808792027568222035950451709043494458414827232932849026729999068641147434106361180963025053553134022538884232094626059420694793704014156654559<203>
prime factors 素因数
191066259063446174847193412349564753009297024464908763167319240391349<69>
148673267286962507977865855871631840365516579691730370007312285447367271635510677633163732954034245930138775828297746285718197505028291<135>
factorization results 素因数分解の結果
Number: n
N=28406445003259755983980627735866629412312564030921113905187668808792027568222035950451709043494458414827232932849026729999068641147434106361180963025053553134022538884232094626059420694793704014156654559  ( 203 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Apr 11 05:38:00 2024  prp69 factor: 191066259063446174847193412349564753009297024464908763167319240391349
Thu Apr 11 05:38:00 2024  prp135 factor: 148673267286962507977865855871631840365516579691730370007312285447367271635510677633163732954034245930138775828297746285718197505028291
Thu Apr 11 05:38:00 2024  elapsed time 03:10:37 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.931).
Factorization parameters were as follows:
#
# N = 61x10^205-34 = 67(204)4
#
n: 28406445003259755983980627735866629412312564030921113905187668808792027568222035950451709043494458414827232932849026729999068641147434106361180963025053553134022538884232094626059420694793704014156654559
m: 100000000000000000000000000000000000000000
deg: 5
c5: 61
c0: -34
skew: 0.89
# Murphy_E = 6.933e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4439975 hash collisions in 20746792 relations (16414283 unique)
Msieve: matrix is 2469035 x 2469260 (696.3 MB)

Sieving start time: 2024/04/10 07:25:16
Sieving end time  : 2024/04/11 02:26:57

Total sieving time: 19hrs 1min 41secs.

Total relation processing time: 3hrs 2min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 19:12:11 UTC 2022 年 12 月 3 日 (土) 4 時 12 分 11 秒 (日本時間)

61×10208-349

c190

composite cofactor 合成数の残り
1396465744501808964828157285667027611802777980093518451092891765004044757071200244936873629387885626857659781464217902611950696643242717753050084779699833119675570397750939252993717900120847<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 11:21:39 UTC 2022 年 12 月 2 日 (金) 20 時 21 分 39 秒 (日本時間)

61×10209-349

c202

composite cofactor 合成数の残り
1369588031301495289135146025841869249201733707513584771922669048880489515334143571733655662329042616550676278748005838851045397855266724572579202940188836489663233485323073227600266169060938028211233193<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 19:13:00 UTC 2022 年 12 月 3 日 (土) 4 時 13 分 0 秒 (日本時間)

61×10210-349

c114

name 名前Ignacio Santos
date 日付November 8, 2022 15:04:28 UTC 2022 年 11 月 9 日 (水) 0 時 4 分 28 秒 (日本時間)
composite number 合成数
115690414486991275444956067076549858325372965663927056149438907818575849555659885190884292879090500706741247106639<114>
prime factors 素因数
1805173456520917501056783338383952843<37>
64088253718265721314120621812597050259840437047420442056049640153146672213773<77>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:908743175
Step 1 took 3469ms
Step 2 took 2094ms
********** Factor found in step 2: 1805173456520917501056783338383952843
Found prime factor of 37 digits: 1805173456520917501056783338383952843
Prime cofactor 64088253718265721314120621812597050259840437047420442056049640153146672213773 has 77 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 JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10212-349

c213

name 名前ebina
date 日付November 8, 2022 14:10:26 UTC 2022 年 11 月 8 日 (火) 23 時 10 分 26 秒 (日本時間)
composite number 合成数
338888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<213>
prime factors 素因数
19610592241953148021481496310985045861<38>
composite cofactor 合成数の残り
17280910474692360070500585789006443600359394529361011852122260152851624345590051372130370216941731043229843956217230428770602495671055638188665663332035246758651211757766204267<176>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1029917180 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 338888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (213 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1029917180
Step 1 took 19578ms
Step 2 took 10172ms
********** Factor found in step 2: 19610592241953148021481496310985045861
Found probable prime factor of 38 digits: 19610592241953148021481496310985045861
Composite cofactor 17280910474692360070500585789006443600359394529361011852122260152851624345590051372130370216941731043229843956217230428770602495671055638188665663332035246758651211757766204267 has 176 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 11:21:01 UTC 2022 年 12 月 2 日 (金) 20 時 21 分 1 秒 (日本時間)

61×10213-349

c173

composite cofactor 合成数の残り
63352588760684753258395122738899070458033570745024840531300750739595769884033938334307569478480798492369045539347592274662180771946490264235079042238629020653985360679768889<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 11:21:10 UTC 2022 年 12 月 2 日 (金) 20 時 21 分 10 秒 (日本時間)

61×10218-349

c155

composite cofactor 合成数の残り
39012999543479717793369561116649130162198478832270560441510529910957993273640423220993650646782363245677722016919438010365713980424464448705334420644870743<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 11:22:07 UTC 2022 年 12 月 2 日 (金) 20 時 22 分 7 秒 (日本時間)

61×10219-349

c204

composite cofactor 合成数の残り
310731395750688475856467863039391172007159230027565345463018749665714755421346356115341409002323778653306786144287841731332859513212074031894131438111475168544430267310002913950483450316373948319315033781<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 19:13:36 UTC 2022 年 12 月 3 日 (土) 4 時 13 分 36 秒 (日本時間)

61×10220-349

c187

composite cofactor 合成数の残り
1478980078999668750443340444869143954007682668523556815947689538493840942086208083372935348847527485573204359717145830173235159172984496374871274579393323484885853643812946362240524871647<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 13:04:50 UTC 2022 年 12 月 2 日 (金) 22 時 4 分 50 秒 (日本時間)

61×10221-349

c195

composite cofactor 合成数の残り
175714835051111692469715435583623977800606209756999050110311509219183665547595226792670964820049374429090029490728124844175424727892756427761308019601485317228751329632595078510810968578966354761<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 13:05:13 UTC 2022 年 12 月 2 日 (金) 22 時 5 分 13 秒 (日本時間)

61×10222-349

c174

composite cofactor 合成数の残り
111691332282403522193063000287584642591414177511467026821951942407477365322381194398925179843145792122316200289961548563594956752159497938878706584387025857340419848774309933<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 13:05:22 UTC 2022 年 12 月 2 日 (金) 22 時 5 分 22 秒 (日本時間)

61×10223-349

c175

composite cofactor 合成数の残り
2317157260728377320836049606104390727348834899695996204954378585820979095496945428661914799264194916997637655774062379396448843214168413908620346108730601625426629083139746563<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 13:05:30 UTC 2022 年 12 月 2 日 (金) 22 時 5 分 30 秒 (日本時間)

61×10224-349

c222

composite cofactor 合成数の残り
153970417487000858195769599676914533797768690999040840022212125801403402493815942248472916351153516078550153970417487000858195769599676914533797768690999040840022212125801403402493815942248472916351153516078550153970417487<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:30:00 UTC 2022 年 12 月 4 日 (日) 19 時 30 分 0 秒 (日本時間)

61×10228-349

c205

composite cofactor 合成数の残り
1496762606758224994479162902061902347298476727032716597791384829987775963025862092430808111192350457074312522878319908008174272211530693988008509620821399526379801372968201491067848172541838050650047345817<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 19:13:25 UTC 2022 年 12 月 3 日 (土) 4 時 13 分 25 秒 (日本時間)

61×10231-349

c203

composite cofactor 合成数の残り
44872746664993242044207454514569594825914350025852002330873334849459642725253363244669160000885846308161917541941002068253555651277674950385255272193944321113919625619005174773944701707515497926815962547<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

61×10232-349

c205

composite cofactor 合成数の残り
1162263556760718534797144353773490633583446459128231975295736712058908772260377411790915324786548594037819401522707297258652651938354772985344074086763701410867795783160261123296496043618795764549581291329<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 19:52:40 UTC 2022 年 12 月 3 日 (土) 4 時 52 分 40 秒 (日本時間)

61×10233-349

c222

composite cofactor 合成数の残り
326090395659349782478873182763413013128817534618281399913106545731113296018654051335399139134555534383934441326962131249577263267652362098937253592172331729166947904671521300909707092938499778274061247293913048916467655377<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:30:09 UTC 2022 年 12 月 4 日 (日) 19 時 30 分 9 秒 (日本時間)

61×10234-349

c205

composite cofactor 合成数の残り
2651842907049578947381471609459297396490485888486407271586212004586557788092828417144380071064071942428363620131090109420541236221888507672236241782559272571196680043753619337061911886254307265199727938237<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 19:52:46 UTC 2022 年 12 月 3 日 (土) 4 時 52 分 46 秒 (日本時間)

61×10235-349

c206

composite cofactor 合成数の残り
52632136006183721996991991484737520436533145211953441772107626263846412436914880989463667044329151565885375050777583166551314684810810893579255006868133129864694349617719401754603978550908402610573637414431<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 19:52:54 UTC 2022 年 12 月 3 日 (土) 4 時 52 分 54 秒 (日本時間)

61×10236-349

c206

composite cofactor 合成数の残り
26375162928942669064524092057520140475997833263417568997370926817808985676972968051798244549456954200745390924025376351167911084843606248362104283282574183960163689428866629883475702548101473574374529615843<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 19:53:02 UTC 2022 年 12 月 3 日 (土) 4 時 53 分 2 秒 (日本時間)

61×10237-349

c226

name 名前Dmitry Domanov
date 日付December 4, 2022 18:14:51 UTC 2022 年 12 月 5 日 (月) 3 時 14 分 51 秒 (日本時間)
composite number 合成数
1330418398923431119081832633195022510315717122996227901750766671587531702340338142549593589090350498145122625100186160267835764452669500917723388432677068790074881128689835378188145795719383720164628103015028541442392706189977<226>
prime factors 素因数
28483913551790203945292055008248921841<38>
composite cofactor 合成数の残り
46707710880544179673931140621280834560630318900157880335603156599933590284224206442844889562434462843313032293123861424381786541106525203405591190547455402801750876811585150479558103635497<188>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e1c008dc9809 with GMP-ECM 7.0.5-dev on Sun Dec  4 11:18:33 2022 
Input number is 1330418398923431119081832633195022510315717122996227901750766671587531702340338142549593589090350498145122625100186160267835764452669500917723388432677068790074881128689835378188145795719383720164628103015028541442392706189977 (226 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2631869971
Step 1 took 0ms
Step 2 took 3995ms
********** Factor found in step 2: 28483913551790203945292055008248921841
Found prime factor of 38 digits: 28483913551790203945292055008248921841
Composite cofactor 46707710880544179673931140621280834560630318900157880335603156599933590284224206442844889562434462843313032293123861424381786541106525203405591190547455402801750876811585150479558103635497 has 188 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:30:17 UTC 2022 年 12 月 4 日 (日) 19 時 30 分 17 秒 (日本時間)

61×10238-349

c183

name 名前Dmitry Domanov
date 日付December 2, 2022 19:05:20 UTC 2022 年 12 月 3 日 (土) 4 時 5 分 20 秒 (日本時間)
composite number 合成数
605833395803698007675378148689392108828813322330037445421612461912451112353962604184020072849767156834597819276224096909827013826122457346957270697202398767173468343190556570738014239<183>
prime factors 素因数
851818566535661034215225923443619153<36>
711223515903882380967163998044283626406401362461248626265569765303284619601580079304473154678839425626924137314167934368963379847670849366634609263<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:408407520
Step 1 took 16854ms
Step 2 took 7581ms
********** Factor found in step 2: 851818566535661034215225923443619153
Found prime factor of 36 digits: 851818566535661034215225923443619153
Prime cofactor 711223515903882380967163998044283626406401362461248626265569765303284619601580079304473154678839425626924137314167934368963379847670849366634609263 has 147 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 13:05:36 UTC 2022 年 12 月 2 日 (金) 22 時 5 分 36 秒 (日本時間)

61×10239-349

c193

composite cofactor 合成数の残り
1895939103534315066310320986724401840874893388762659214863503012218253327509407342609796448738952280333576347809471635909305719182125975032752797057910011110091750400524041359573236547142476737<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 13:05:43 UTC 2022 年 12 月 2 日 (金) 22 時 5 分 43 秒 (日本時間)

61×10241-349

c205

composite cofactor 合成数の残り
5190757458426249196034736693186153882911560039774069586176288179196974426409572224082045769542195754025173026662629774224983458454077992528678556716552548715144131319931653561118035939667815385776760350649<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 19:53:11 UTC 2022 年 12 月 3 日 (土) 4 時 53 分 11 秒 (日本時間)

61×10242-349

c238

composite cofactor 合成数の残り
3709338655322171264422334353705507699006018858034488336258238076300488051672911733550299240254472793521183972251714504973554239652465372411520111304483191831184957354767229878053971485523241743072962083261882957595570198321919515864415767<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:30:25 UTC 2022 年 12 月 4 日 (日) 19 時 30 分 25 秒 (日本時間)

61×10243-349

c175

composite cofactor 合成数の残り
7590843846900689748595417636721783800998279277445841786936536934063250458035691833996633672255820557947942650316056753226731252390684725742907612180290326847209357117740405189<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 13:05:53 UTC 2022 年 12 月 2 日 (金) 22 時 5 分 53 秒 (日本時間)

61×10244-349

c235

composite cofactor 合成数の残り
2556572806663282565777174884297377489131209189740681571031327784607512408403002924075109915369419418063340859042018853259960415992959491264137815338877389762626526456575077350059340863300749452393733027892230603117252524020566539313999<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:30:33 UTC 2022 年 12 月 4 日 (日) 19 時 30 分 33 秒 (日本時間)

61×10245-349

c244

composite cofactor 合成数の残り
6394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:30:41 UTC 2022 年 12 月 4 日 (日) 19 時 30 分 41 秒 (日本時間)

61×10246-349

c233

name 名前Dmitry Domanov
date 日付December 4, 2022 22:14:57 UTC 2022 年 12 月 5 日 (月) 7 時 14 分 57 秒 (日本時間)
composite number 合成数
98451235895308457619898595048649622253158466925988656834182936016814240350353156073663771579288466244859115315893992313446241779430090155884776406650409133490989935245972253716513388043583113188067832963624487438602650585466552275443<233>
prime factors 素因数
65220322668210530339610563243350933700584009<44>
1509517767891927754968281018299188457737022724577542109093879294133490552219757904396251665920558675492190336157741533294324609472251808634136435905303848328309579990249902633965777707700827<190>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e1c008dc9809 with GMP-ECM 7.0.5-dev on Sun Dec  4 11:12:42 2022 
Input number is 98451235895308457619898595048649622253158466925988656834182936016814240350353156073663771579288466244859115315893992313446241779430090155884776406650409133490989935245972253716513388043583113188067832963624487438602650585466552275443 (233 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:767930562
Step 1 took 0ms
Step 2 took 4352ms
********** Factor found in step 2: 65220322668210530339610563243350933700584009
Found prime factor of 44 digits: 65220322668210530339610563243350933700584009
Prime cofactor 1509517767891927754968281018299188457737022724577542109093879294133490552219757904396251665920558675492190336157741533294324609472251808634136435905303848328309579990249902633965777707700827 has 190 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:30:49 UTC 2022 年 12 月 4 日 (日) 19 時 30 分 49 秒 (日本時間)

61×10248-349

c249

composite cofactor 合成数の残り
338888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:30:57 UTC 2022 年 12 月 4 日 (日) 19 時 30 分 57 秒 (日本時間)

61×10251-349

c231

composite cofactor 合成数の残り
254623214828622120931728706862013984049934385352726246677815963547333710077299702284336383024978687416628132963879424140745099690853441242665036789584211931263751986023040555646708931954939549979849301628945921365479147638267322013<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:31:05 UTC 2022 年 12 月 4 日 (日) 19 時 31 分 5 秒 (日本時間)

61×10254-349

c249

composite cofactor 合成数の残り
912284039186936571134076740136938320924774852785771479727702656421567351836846524212766173823908840989490188759045445803298998551412589579562683933661097546494331725021438674920893009421650803393218050541732209040465629773601012425906832768165893319<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:31:13 UTC 2022 年 12 月 4 日 (日) 19 時 31 分 13 秒 (日本時間)

61×10256-349

c256

composite cofactor 合成数の残り
4841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:58:10 UTC 2022 年 12 月 4 日 (日) 7 時 58 分 10 秒 (日本時間)

61×10258-349

c249

composite cofactor 合成数の残り
152598531047181726571789863549145864754833382771222287200883166774227860143400525705094494710830098726774047724031666706393742964895235708374354427038131346169361313145183346235997679450268780723750051856051582567767337772341077565446426462654907913<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:31:20 UTC 2022 年 12 月 4 日 (日) 19 時 31 分 20 秒 (日本時間)

61×10259-349

c254

name 名前Dmitry Domanov
date 日付December 4, 2022 05:28:32 UTC 2022 年 12 月 4 日 (日) 14 時 28 分 32 秒 (日本時間)
composite number 合成数
30006179305318580524730355126575410496830511227574439182049260701851420615504458475530649442922983582291159697510165945977268302367448194823333946246438487873519133563210181086800203018857752312861543716592915413170823801452358106926872383129128985546171<254>
prime factors 素因数
61898986580169634157580364746271790819<38>
composite cofactor 合成数の残り
484760429259298361160417209065376664300828610359130896089779850687599996771052855468389432704011922029167057315955305870571611751282460642849571765761228653187261169613196858047551688051134950098567968959227325435209<216>
factorization results 素因数分解の結果
Resuming ECM residue saved by @812bfe585225 with GMP-ECM 7.0.5-dev on Sat Dec  3 23:11:16 2022 
Input number is 30006179305318580524730355126575410496830511227574439182049260701851420615504458475530649442922983582291159697510165945977268302367448194823333946246438487873519133563210181086800203018857752312861543716592915413170823801452358106926872383129128985546171 (254 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2357766396
Step 1 took 0ms
Step 2 took 5078ms
********** Factor found in step 2: 61898986580169634157580364746271790819
Found prime factor of 38 digits: 61898986580169634157580364746271790819
Composite cofactor 484760429259298361160417209065376664300828610359130896089779850687599996771052855468389432704011922029167057315955305870571611751282460642849571765761228653187261169613196858047551688051134950098567968959227325435209 has 216 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:58:22 UTC 2022 年 12 月 4 日 (日) 7 時 58 分 22 秒 (日本時間)

61×10261-349

c229

composite cofactor 合成数の残り
4206235980919423119331402974065339553368919856672762490835176923768993055163297747409589118821238413052290157211683431233926664982070110568677145579821510876155287244999565787631899181370243573335389169963803732673142954510842351<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:31:28 UTC 2022 年 12 月 4 日 (日) 19 時 31 分 28 秒 (日本時間)

61×10263-349

c258

composite cofactor 合成数の残り
309487287124750469532803064918560703496059719478693525292569494355611445915473035082971512253311995960632811192765019291205112039978857452083503931858408247014284816990019998967022759695095154149529442337394110954135100231770463121850015560614911665732623887<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:58:30 UTC 2022 年 12 月 4 日 (日) 7 時 58 分 30 秒 (日本時間)

61×10264-349

c238

composite cofactor 合成数の残り
8259192887842275584496181163766597976195831885764790605938888679340519481833176059531136416347560996418087614907726832632740436859832928050362500038702147321037461206199822271625870271327951479412439405655008236172895888774190444227030819<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:31:35 UTC 2022 年 12 月 4 日 (日) 19 時 31 分 35 秒 (日本時間)

61×10266-349

c181

composite cofactor 合成数の残り
1010178202102520556685145999610527236736019582451908710152535336980403515558497358040348515381869779275684460449559581902897990909591187990284103031009427679518854618486188296792221<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 9, 2022 14:35:23 UTC 2022 年 11 月 9 日 (水) 23 時 35 分 23 秒 (日本時間)
4511e64480Ignacio SantosNovember 16, 2022 09:01:01 UTC 2022 年 11 月 16 日 (水) 18 時 1 分 1 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovApril 27, 2024 11:26:00 UTC 2024 年 4 月 27 日 (土) 20 時 26 分 0 秒 (日本時間)

61×10267-349

c241

name 名前Dmitry Domanov
date 日付December 4, 2022 18:15:19 UTC 2022 年 12 月 5 日 (月) 3 時 15 分 19 秒 (日本時間)
composite number 合成数
1484616823357047252193100845513636201936817892489397141118154572479814677595235154446428799943477306551007770343564382265271281233516066381309168132103622755892348727435168957242423652948150017518896988048173671485346816032063689919034894849<241>
prime factors 素因数
1904235319764012168076325248992079967077<40>
779639369120110983233993062934203930914499117434545277542069158605866426281107536780669157273200548880535884558533035137575648952022689890803712763040075206109841387175118946430741188768940785721469037<201>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e1c008dc9809 with GMP-ECM 7.0.5-dev on Sun Dec  4 11:40:54 2022 
Input number is 1484616823357047252193100845513636201936817892489397141118154572479814677595235154446428799943477306551007770343564382265271281233516066381309168132103622755892348727435168957242423652948150017518896988048173671485346816032063689919034894849 (241 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2772185141
Step 1 took 0ms
Step 2 took 6474ms
********** Factor found in step 2: 1904235319764012168076325248992079967077
Found prime factor of 40 digits: 1904235319764012168076325248992079967077
Prime cofactor 779639369120110983233993062934203930914499117434545277542069158605866426281107536780669157273200548880535884558533035137575648952022689890803712763040075206109841387175118946430741188768940785721469037 has 201 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:31:47 UTC 2022 年 12 月 4 日 (日) 19 時 31 分 47 秒 (日本時間)

61×10268-349

c170

composite cofactor 合成数の残り
81293585671833082754996621176665843410634513078885857073413895347513980631654645700282099885186388189028970738352254832202653062165058234550481936579287969377781139585133<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 9, 2022 14:18:17 UTC 2022 年 11 月 9 日 (水) 23 時 18 分 17 秒 (日本時間)
4511e64480Ignacio SantosNovember 14, 2022 13:48:56 UTC 2022 年 11 月 14 日 (月) 22 時 48 分 56 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovJune 7, 2024 21:44:49 UTC 2024 年 6 月 8 日 (土) 6 時 44 分 49 秒 (日本時間)

61×10269-349

c245

composite cofactor 合成数の残り
38840082128179932807923666559719981475351382259521101219075489100680927353927186851210596884165374289429745290022286446299352098164300395667808017379196520125017152855103491651949890904126842479926323881640347490541391222421961220075173117726581<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:31:54 UTC 2022 年 12 月 4 日 (日) 19 時 31 分 54 秒 (日本時間)

61×10271-349

c194

composite cofactor 合成数の残り
53988483337457111565572063559583722333096149365049216022451243225640726178345774632162211482251897245977795157059831044948786513348888846622359521656567075170219041999438883142067792021099044509<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 13:06:10 UTC 2022 年 12 月 2 日 (金) 22 時 6 分 10 秒 (日本時間)

61×10272-349

c273

composite cofactor 合成数の残り
338888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:58:42 UTC 2022 年 12 月 4 日 (日) 7 時 58 分 42 秒 (日本時間)

61×10273-349

c265

composite cofactor 合成数の残り
1747528148491996370325822841177051347618383924227108892709039279736969429063370612274733181611094549901439862198689623145476282174312770874751959929781392313662898260813479453613377712272470086821993519729831978646962950121094799756139013000099846940180253310385071<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:58:50 UTC 2022 年 12 月 4 日 (日) 7 時 58 分 50 秒 (日本時間)

61×10274-349

c231

composite cofactor 合成数の残り
350678560599647550298508158891541461391066681988248658611301688454034009411135784040155020538692444529776820744831263092777738020345744175283094367782931299835624338113057914624419661834634113662578047300026383716270202595960158659<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:32:02 UTC 2022 年 12 月 4 日 (日) 19 時 32 分 2 秒 (日本時間)

61×10276-349

c225

composite cofactor 合成数の残り
312350488113950458822490617473215535889145112389244024683386151195307770823682854854794290532350301587076472270331042053619804829111419701172928110045170235273704713887685973696998526201472870530288609623939852311319927171361<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:32:09 UTC 2022 年 12 月 4 日 (日) 19 時 32 分 9 秒 (日本時間)

61×10277-349

c244

name 名前Dmitry Domanov
date 日付December 4, 2022 19:53:00 UTC 2022 年 12 月 5 日 (月) 4 時 53 分 0 秒 (日本時間)
composite number 合成数
4466404268730206986388240974180993546617925827401983621627202446760648567383639414817912155696290689733414174072164360980228988025564363621445901842953001627106368169679170045315566880722405063633536142576610969518802124813054309655798684546843<244>
prime factors 素因数
391147083392474131692632928002332504922281<42>
11418733408395760698791804450459157783184194510504115957605015220079153754058248325939070511331887556647460185520890572930456706723589669248841038503729382324723019206555912894683172802760974067063380003<203>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e1c008dc9809 with GMP-ECM 7.0.5-dev on Sun Dec  4 11:23:01 2022 
Input number is 4466404268730206986388240974180993546617925827401983621627202446760648567383639414817912155696290689733414174072164360980228988025564363621445901842953001627106368169679170045315566880722405063633536142576610969518802124813054309655798684546843 (244 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2723708590
Step 1 took 0ms
Step 2 took 5449ms
********** Factor found in step 2: 391147083392474131692632928002332504922281
Found prime factor of 42 digits: 391147083392474131692632928002332504922281
Prime cofactor 11418733408395760698791804450459157783184194510504115957605015220079153754058248325939070511331887556647460185520890572930456706723589669248841038503729382324723019206555912894683172802760974067063380003 has 203 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:32:16 UTC 2022 年 12 月 4 日 (日) 19 時 32 分 16 秒 (日本時間)

61×10278-349

c255

composite cofactor 合成数の残り
426704936584875648136099128383799272396036563733392668466800930774606746835196517807044100500026994672469507027081195139060951264230118071484603185827716008958287224283553412948860006474275161452685352063867090532107835265123838679109934572013534787915743<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:59:01 UTC 2022 年 12 月 4 日 (日) 7 時 59 分 1 秒 (日本時間)

61×10279-349

c270

composite cofactor 合成数の残り
311126079286817220313455514109276415341390599499881644676090900210691040176241787030463195452869289130049878024694065875669509388205771395546178389348421082809584535582661322497825630338950941735287857153990232200555910165278739077158551144870500626970671189960664129757<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:59:09 UTC 2022 年 12 月 4 日 (日) 7 時 59 分 9 秒 (日本時間)

61×10281-349

c207

composite cofactor 合成数の残り
944492107978507570177241679710312453135191157630134165070453551127467151624410778222840840276340783034526375703222268751799915501961890344234104180491884920641087294521184772489968379317025976080154586278983<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 19:53:20 UTC 2022 年 12 月 3 日 (土) 4 時 53 分 20 秒 (日本時間)

61×10283-349

c250

composite cofactor 合成数の残り
2949193526357018196591625565335795166925366776499429154712027389107448164099498886297792306607489800958429181624274307262085385794739993161697115022835159996903578156689458475955850520273321087326664706967496524948531424195928841783086790231230828813<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 4, 2022 10:32:24 UTC 2022 年 12 月 4 日 (日) 19 時 32 分 24 秒 (日本時間)

61×10285-349

c278

composite cofactor 合成数の残り
11702956115797398732220912715151351582210179243431291216183098198555868951895156588144746371234756080931875131341461117700892218524943748388874655600179464409961925982439309157371961167775922920625980563114255096074591351641054944814535850874327333411526730546903454580689756893<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:59:20 UTC 2022 年 12 月 4 日 (日) 7 時 59 分 20 秒 (日本時間)

61×10286-349

c281

composite cofactor 合成数の残り
58032794808024660703178617902375139587898659138005601211191995508071410400504295473308814953205588881601492032668087233374983755574240212769155626640972408926090764432708500891136375355355732469957563756635954950568426468358141877435117908368690527088091308989622404388116481903567<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:59:28 UTC 2022 年 12 月 4 日 (日) 7 時 59 分 28 秒 (日本時間)

61×10287-349

c276

composite cofactor 合成数の残り
147082800253817156967075483074586624792519956292530794801633287598372195794597458026840689694250037221576974503077706623286709807547357956497372798240757911510223599126810831808606565333373273538309393158948644549735812225659512310047008533234617427143378216533823973814758859<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:59:34 UTC 2022 年 12 月 4 日 (日) 7 時 59 分 34 秒 (日本時間)

61×10288-349

c275

composite cofactor 合成数の残り
10265367934825222173398237225195073147664734902582585092246688765563095612387274969600726085454661712728253948484417613593416140715095440109611111489272798897527162866404129073206813332501497475280262022714778167355403264236843993377078695664319412881329035454279603614073453<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:59:42 UTC 2022 年 12 月 4 日 (日) 7 時 59 分 42 秒 (日本時間)

61×10289-349

c270

composite cofactor 合成数の残り
284866477054713154122857392881347126789654798712550828337194961734910029712173943757015188587147984363915471731603811310188567342069350531359081578710462496238643436133447073111410617835005963115758949570582248259214331812384750458194720213948410858277381179241163848859<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:59:49 UTC 2022 年 12 月 4 日 (日) 7 時 59 分 49 秒 (日本時間)

61×10290-349

c260

composite cofactor 合成数の残り
27897414055362401685612108284704096456977847167796076630861261440522687397810721998162784485917068226469039340350912027727943579435389979983108084356982594047413341092748354611032138174344064731255449947937971577759897094683806601854158160076963621313300644297<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 22:59:56 UTC 2022 年 12 月 4 日 (日) 7 時 59 分 56 秒 (日本時間)

61×10291-349

c280

composite cofactor 合成数の残り
2012109778088319861590114719176592773994933082009902930670890115518196026744906279496286244325669755567740397735701235371618790938753216402826219178592370528282283006612172584336828378994822190372050775382207935260859196286650451075048293636449987739597599019890538332073398078837<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 23:00:02 UTC 2022 年 12 月 4 日 (日) 8 時 0 分 2 秒 (日本時間)

61×10292-349

c255

composite cofactor 合成数の残り
150948319908627324702519769217664876657055732151821743623683101873851209626991518457226912119933904663716521105908263492800481703747641593716620610035675765851876337383691260553230774404121703329382417783291217503343914083726336023484713751621238849993613<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 23:00:10 UTC 2022 年 12 月 4 日 (日) 8 時 0 分 10 秒 (日本時間)

61×10293-349

c285

name 名前Dmitry Domanov
date 日付December 4, 2022 09:03:03 UTC 2022 年 12 月 4 日 (日) 18 時 3 分 3 秒 (日本時間)
composite number 合成数
193411365521624780151591626513200498467101830152465316382111650484234806012475020266605180166267630198131413899816366289237392972877706640969735867991256997375019742282821627759377828490415375522700231683929940212468791063585147073667963621836112652785178988673970388786015571335841749<285>
prime factors 素因数
17220455191314036155400097809402398632589<41>
composite cofactor 合成数の残り
11231489723871009740446963105105334964403386760615738937477716647324065500998682494854231637601694701192504230823102894439816232705180614616058386366035883169062797083496735613307204462682797777086549806202311903146766626990658623406083410830441<245>
factorization results 素因数分解の結果
Resuming ECM residue saved by @812bfe585225 with GMP-ECM 7.0.5-dev on Sun Dec  4 00:18:00 2022 
Input number is 193411365521624780151591626513200498467101830152465316382111650484234806012475020266605180166267630198131413899816366289237392972877706640969735867991256997375019742282821627759377828490415375522700231683929940212468791063585147073667963621836112652785178988673970388786015571335841749 (285 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:310148447
Step 1 took 0ms
Step 2 took 5331ms
********** Factor found in step 2: 17220455191314036155400097809402398632589
Found prime factor of 41 digits: 17220455191314036155400097809402398632589
Composite cofactor 11231489723871009740446963105105334964403386760615738937477716647324065500998682494854231637601694701192504230823102894439816232705180614616058386366035883169062797083496735613307204462682797777086549806202311903146766626990658623406083410830441 has 245 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 23:00:18 UTC 2022 年 12 月 4 日 (日) 8 時 0 分 18 秒 (日本時間)

61×10295-349

c271

name 名前Dmitry Domanov
date 日付December 4, 2022 05:29:02 UTC 2022 年 12 月 4 日 (日) 14 時 29 分 2 秒 (日本時間)
composite number 合成数
2879858728762118129177428443762113257021501038492438098589481805123321027297400986667845995907719189301365826571137978250184079942452572674235378594546173991253012186071638233480559742501170977350336427164126497650643014741769798704372170448250590500342792607843958531719<271>
prime factors 素因数
630782535345116830305712376817640364581<39>
composite cofactor 合成数の残り
4565533392877587702983296347424430952200089418869139550489477408997193706365066419184140568472933258925410795464365564301604471521721980563288816692850701980922568950093405203379043532277414236457101168672364568716602161957495562299<232>
factorization results 素因数分解の結果
Resuming ECM residue saved by @812bfe585225 with GMP-ECM 7.0.5-dev on Sun Dec  4 00:13:34 2022 
Input number is 2879858728762118129177428443762113257021501038492438098589481805123321027297400986667845995907719189301365826571137978250184079942452572674235378594546173991253012186071638233480559742501170977350336427164126497650643014741769798704372170448250590500342792607843958531719 (271 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3095105799
Step 1 took 0ms
Step 2 took 5703ms
********** Factor found in step 2: 630782535345116830305712376817640364581
Found prime factor of 39 digits: 630782535345116830305712376817640364581
Composite cofactor 4565533392877587702983296347424430952200089418869139550489477408997193706365066419184140568472933258925410795464365564301604471521721980563288816692850701980922568950093405203379043532277414236457101168672364568716602161957495562299 has 232 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 23:00:25 UTC 2022 年 12 月 4 日 (日) 8 時 0 分 25 秒 (日本時間)

61×10296-349

c297

name 名前Dmitry Domanov
date 日付December 4, 2022 11:10:39 UTC 2022 年 12 月 4 日 (日) 20 時 10 分 39 秒 (日本時間)
composite number 合成数
338888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<297>
prime factors 素因数
1767116994831841703055422621087427241<37>
191775015395139385705616868935433009628589262786601723342008343061123089509674243336821386303351767098869624359358986309952984900814125553826527849081116139570861854596175794611039935547340942638566597591821779821461159388801290136737529839194162546691413450207<261>
factorization results 素因数分解の結果
Resuming ECM residue saved by @812bfe585225 with GMP-ECM 7.0.5-dev on Sun Dec  4 00:22:26 2022 
Input number is 338888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (297 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:167362567
Step 1 took 0ms
Step 2 took 5759ms
********** Factor found in step 2: 1767116994831841703055422621087427241
Found prime factor of 37 digits: 1767116994831841703055422621087427241
Prime cofactor 191775015395139385705616868935433009628589262786601723342008343061123089509674243336821386303351767098869624359358986309952984900814125553826527849081116139570861854596175794611039935547340942638566597591821779821461159388801290136737529839194162546691413450207 has 261 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 3, 2022 23:00:32 UTC 2022 年 12 月 4 日 (日) 8 時 0 分 32 秒 (日本時間)

61×10299-349

c210

composite cofactor 合成数の残り
645926225977412208994502788184446914646642386232780922872537393866165923442093223035290100309906533916784550142200647407980080398946634597218947292148695168826485533364052020422046666081591080017847450278017529<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2022 19:20:44 UTC 2022 年 12 月 3 日 (土) 4 時 20 分 44 秒 (日本時間)