Table of contents 目次

7×10119-6

c113

name 名前Dmitry Domanov
date 日付November 7, 2022 16:54:46 UTC 2022 年 11 月 8 日 (火) 1 時 54 分 46 秒 (日本時間)
composite number 合成数
13778865197070644753651802801133063642885513259382295047942774089481761526345524886382430198926264213834445202457<113>
prime factors 素因数
76320811680419299243145017604909213159861<41>
180538766473912125792933605341764563897052358719930934077219005489911637<72>
factorization results 素因数分解の結果
N=13778865197070644753651802801133063642885513259382295047942774089481761526345524886382430198926264213834445202457
  ( 113 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=76320811680419299243145017604909213159861 (pp41)
 r2=180538766473912125792933605341764563897052358719930934077219005489911637 (pp72)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.64 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13778865197070644753651802801133063642885513259382295047942774089481761526345524886382430198926264213834445202457
m: 500000000000000000000000000000
deg: 4
c4: 28
c0: -15
skew: 0.86
# Murphy_E = 3.999e-08
type: snfs
lss: 1
rlim: 710000
alim: 710000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 710000/710000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [355000, 655001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63039 x 63264
Total sieving time: 0.63 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,120.000,4,0,0,0,0,0,0,0,0,710000,710000,25,25,46,46,2.2,2.2,50000
total time: 0.64 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)

7×10124-6

c119

name 名前Dmitry Domanov
date 日付November 7, 2022 21:14:06 UTC 2022 年 11 月 8 日 (火) 6 時 14 分 6 秒 (日本時間)
composite number 合成数
54490737353089079900546619939561987884373769093165148969891532295103150965809397628251734751545590843065119544893361627<119>
prime factors 素因数
9949978001299956050148036913313345999992992191813<49>
5476468123444083195966123514585549399357937301594846951996151156766879<70>
factorization results 素因数分解の結果
N=54490737353089079900546619939561987884373769093165148969891532295103150965809397628251734751545590843065119544893361627
  ( 119 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=9949978001299956050148036913313345999992992191813 (pp49)
 r2=5476468123444083195966123514585549399357937301594846951996151156766879 (pp70)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.55 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 54490737353089079900546619939561987884373769093165148969891532295103150965809397628251734751545590843065119544893361627
m: 10000000000000000000000000000000
deg: 4
c4: 7
c0: -6
skew: 0.96
# Murphy_E = 2.645e-08
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 795001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79853 x 80078
Total sieving time: 0.54 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124.000,4,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,75000
total time: 0.55 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)

7×10132-6

c117

name 名前Dmitry Domanov
date 日付November 8, 2022 13:39:10 UTC 2022 年 11 月 8 日 (火) 22 時 39 分 10 秒 (日本時間)
composite number 合成数
131042386982925689490495751716064339694529892826401821528505028360363695167245736355943080150179402120481264067007683<117>
prime factors 素因数
147024627925683579371590047493378905511<39>
891295484516808841183052459154741368168150473696308355582158925256147267019653<78>
factorization results 素因数分解の結果
N=131042386982925689490495751716064339694529892826401821528505028360363695167245736355943080150179402120481264067007683
  ( 117 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=147024627925683579371590047493378905511 (pp39)
 r2=891295484516808841183052459154741368168150473696308355582158925256147267019653 (pp78)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 131042386982925689490495751716064339694529892826401821528505028360363695167245736355943080150179402120481264067007683
m: 1000000000000000000000000000000000
deg: 4
c4: 7
c0: -6
skew: 0.96
# Murphy_E = 1.08e-08
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1175001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 149225 x 149450
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,100000
total time: 0.03 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)

7×10134-6

c103

name 名前Dmitry Domanov
date 日付November 8, 2022 17:11:08 UTC 2022 年 11 月 9 日 (水) 2 時 11 分 8 秒 (日本時間)
composite number 合成数
1525306632396272654256201398577639453116991431104195043037446924921873712961837838587765194333349697233<103>
prime factors 素因数
481693320558022036257732515254043<33>
3166551345634743750339819401446590036155707843993083214268382781363331<70>
factorization results 素因数分解の結果
N=1525306632396272654256201398577639453116991431104195043037446924921873712961837838587765194333349697233
  ( 103 digits)
Divisors found:
 r1=481693320558022036257732515254043 (pp33)
 r2=3166551345634743750339819401446590036155707843993083214268382781363331 (pp70)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.31 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1525306632396272654256201398577639453116991431104195043037446924921873712961837838587765194333349697233
skew: 2272170.41
c0: 44470936714402386191207041425
c1: 64665054240226483277526
c2: 39035884984131219
c3: -20580193202
c4: 9240
Y0: -3584449133208765940001434
Y1: 16673014653679
rlim: 2330000
alim: 2330000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2330000/2330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1165000, 1565001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 264760 x 264985
Total sieving time: 2.20 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2330000,2330000,26,26,52,52,2.5,2.5,100000
total time: 2.31 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)

7×10139-6

c114

name 名前Ignacio Santos
date 日付November 13, 2022 12:09:00 UTC 2022 年 11 月 13 日 (日) 21 時 9 分 0 秒 (日本時間)
composite number 合成数
890658085025308857205853297451108155036579203696774638388007442791026556845398204175722166340584399280313107711803<114>
prime factors 素因数
338172520468872419677207904299898725535456964217997<51>
2633738790456484689314195252108337690574251843209956349276423399<64>
factorization results 素因数分解の結果
Number: 1
N=890658085025308857205853297451108155036579203696774638388007442791026556845398204175722166340584399280313107711803
  ( 114 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=338172520468872419677207904299898725535456964217997 (pp51)
 r2=2633738790456484689314195252108337690574251843209956349276423399 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.13 hours.
Scaled time: 55.26 units (timescale=7.746).
Factorization parameters were as follows:
n: 890658085025308857205853297451108155036579203696774638388007442791026556845398204175722166340584399280313107711803
m: 50000000000000000000000000000000000
deg: 4
c4: 28
c0: -15
skew: 0.86
# Murphy_E = 4.243e-09
type: snfs
lss: 1
rlim: 1520000
alim: 1520000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1520000/1520000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [760000, 1460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180079 x 180304
Total sieving time: 7.10 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,140.000,4,0,0,0,0,0,0,0,0,1520000,1520000,26,26,48,48,2.3,2.3,100000
total time: 7.13 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)

7×10142-6

c105

name 名前Eric Jeancolas
date 日付November 11, 2022 18:32:43 UTC 2022 年 11 月 12 日 (土) 3 時 32 分 43 秒 (日本時間)
composite number 合成数
250180645651586659847761106863431179494090984422569421174965819034748796320687535009175642494417427327811<105>
prime factors 素因数
296728626078076199068251281866694491527540586699<48>
843129457909997252680546470065759674468904146167985168489<57>
factorization results 素因数分解の結果
250180645651586659847761106863431179494090984422569421174965819034748796320687535009175642494417427327811=296728626078076199068251281866694491527540586699*843129457909997252680546470065759674468904146167985168489

cado polynomial
n: 250180645651586659847761106863431179494090984422569421174965819034748796320687535009175642494417427327811
skew: 33439.83
c0: -29564010345956185584242160
c1: -2362517250133047817274
c2: 140618241638248733
c3: 3846562302922
c4: -56994546
c5: 540
Y0: -268489265062022468649
Y1: 9689961946087
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.471e-06
# f(x) = 540*x^5-56994546*x^4+3846562302922*x^3+140618241638248733*x^2-2362517250133047817274*x-29564010345956185584242160
# g(x) = 9689961946087*x-268489265062022468649

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 843129457909997252680546470065759674468904146167985168489 296728626078076199068251281866694491527540586699
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9669/31.070/36.891/41.810/1.051
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7346/29.150/32.771/37.370/0.902
Info:Polynomial Selection (size optimized): Total time: 585.26
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 155.09
Info:Polynomial Selection (root optimized): Rootsieve time: 143.69
Info:Generate Factor Base: Total cpu/real time for makefb: 1.57/0.240618
Info:Generate Free Relations: Total cpu/real time for freerel: 63.46/7.98257
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4860492
Info:Lattice Sieving: Average J: 1923.71 for 45449 special-q, max bucket fill -bkmult 1.0,1s:1.171920
Info:Lattice Sieving: Total time: 7520.25s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.49/10.7914
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 10.700000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.33/21.3354
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 18.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 27.63/16.6123
Info:Filtering - Merging: Merged matrix has 204218 rows and total weight 29826724 (146.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.08/4.68642
Info:Filtering - Merging: Total cpu/real time for replay: 5.9/4.79288
Info:Linear Algebra: Total cpu/real time for bwc: 350.08/93.74
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 54.19, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Linear Algebra: Lingen CPU time 16.41, WCT time 4.47
Info:Linear Algebra: Mksol: WCT time 31.62, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3200 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 8.6/2.07086
Info:Square Root: Total cpu/real time for sqrt: 231.28/31.6657
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22678.2/2287.37
Info:root: Cleaning up computation data in /tmp/cado.jyc86o6h
843129457909997252680546470065759674468904146167985168489 296728626078076199068251281866694491527540586699
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)

7×10145-6

c108

name 名前Eric Jeancolas
date 日付November 11, 2022 19:41:55 UTC 2022 年 11 月 12 日 (土) 4 時 41 分 55 秒 (日本時間)
composite number 合成数
712599847007848364901829282780082114385195603362256109802606036071664976020755451714509992947261572718917193<108>
prime factors 素因数
392385359958949867717492408142260071362452771877753449<54>
1816071443344365187033481486834365585064843024372959457<55>
factorization results 素因数分解の結果
712599847007848364901829282780082114385195603362256109802606036071664976020755451714509992947261572718917193=392385359958949867717492408142260071362452771877753449*1816071443344365187033481486834365585064843024372959457

cado polynomial
n: 712599847007848364901829282780082114385195603362256109802606036071664976020755451714509992947261572718917193
skew: 10089.378
c0: 3020371952026299789874960
c1: -377941948962611269918
c2: -105869842748897051
c3: 8361117546953
c4: 443141406
c5: 22200
Y0: -499993358491681928837
Y1: 19762670454462529
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.869e-06
# f(x) = 22200*x^5+443141406*x^4+8361117546953*x^3-105869842748897051*x^2-377941948962611269918*x+3020371952026299789874960
# g(x) = 19762670454462529*x-499993358491681928837

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: 1816071443344365187033481486834365585064843024372959457 392385359958949867717492408142260071362452771877753449
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): 11822/30.570/38.202/43.170/1.050
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9037/30.910/33.899/38.730/0.882
Info:Polynomial Selection (size optimized): Total time: 1021.78
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 307.53
Info:Polynomial Selection (root optimized): Rootsieve time: 289.46
Info:Generate Factor Base: Total cpu/real time for makefb: 2.68/0.415432
Info:Generate Free Relations: Total cpu/real time for freerel: 77.11/9.70067
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5024966
Info:Lattice Sieving: Average J: 1901.17 for 73619 special-q, max bucket fill -bkmult 1.0,1s:1.287790
Info:Lattice Sieving: Total time: 16846.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 13.27/19.9453
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.49/85.3379
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 73.99999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.08/77.5693
Info:Filtering - Merging: Merged matrix has 295517 rows and total weight 46104086 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 66.99/9.74817
Info:Filtering - Merging: Total cpu/real time for replay: 9.93/8.05701
Info:Linear Algebra: Total cpu/real time for bwc: 912.97/243.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 148.74, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9344 iterations)
Info:Linear Algebra: Lingen CPU time 29.42, WCT time 7.98
Info:Linear Algebra: Mksol: WCT time 80.91, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 13.76/3.42371
Info:Square Root: Total cpu/real time for sqrt: 544.1/73.7192
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 43049.7/4870.27
Info:root: Cleaning up computation data in /tmp/cado.z_tswdkl
1816071443344365187033481486834365585064843024372959457 392385359958949867717492408142260071362452771877753449
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)

7×10147-6

c138

name 名前Bob Backstrom
date 日付November 7, 2022 18:21:18 UTC 2022 年 11 月 8 日 (火) 3 時 21 分 18 秒 (日本時間)
composite number 合成数
117427625183318643583088696700092321964622300688491657206393268020958960171196457142198255972942826914044499187759877083120496251970339889<138>
prime factors 素因数
85245011104695349000520050421361503<35>
1377530762933417647149132128276141840158568428911295863650543363903764851404078647472295246231405988463<103>
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 117427625183318643583088696700092321964622300688491657206393268020958960171196457142198255972942826914044499187759877083120496251970339889 (138 digits)
Using B1=25320000, B2=96190324246, polynomial Dickson(12), sigma=1:4222072780
Step 1 took 49505ms
Step 2 took 17106ms
********** Factor found in step 2: 85245011104695349000520050421361503
Found prime factor of 35 digits: 85245011104695349000520050421361503
Prime cofactor 1377530762933417647149132128276141840158568428911295863650543363903764851404078647472295246231405988463 has 103 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)

7×10148-6

c108

name 名前Eric Jeancolas
date 日付November 11, 2022 19:34:49 UTC 2022 年 11 月 12 日 (土) 4 時 34 分 49 秒 (日本時間)
composite number 合成数
561742816750483857581022523864814764630180776625033894267999120116229136025509059746645441813163681723021417<108>
prime factors 素因数
1942043987847557692057400592765547348558345700863<49>
289253395013511049625676410332695749845859599790044373553559<60>
factorization results 素因数分解の結果
561742816750483857581022523864814764630180776625033894267999120116229136025509059746645441813163681723021417=1942043987847557692057400592765547348558345700863*289253395013511049625676410332695749845859599790044373553559

cado polynomial
n: 561742816750483857581022523864814764630180776625033894267999120116229136025509059746645441813163681723021417
skew: 82050.293
c0: 236240240394198425078171880
c1: 4432340979455527603278
c2: -53805745240247952
c3: -1249121499179
c4: -16175632
c5: 60
Y0: -1585957450623801738599
Y1: 386214060096061
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 2.025e-06
# f(x) = 60*x^5-16175632*x^4-1249121499179*x^3-53805745240247952*x^2+4432340979455527603278*x+236240240394198425078171880
# g(x) = 386214060096061*x-1585957450623801738599

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: 289253395013511049625676410332695749845859599790044373553559 1942043987847557692057400592765547348558345700863
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): 11768/31.240/38.178/42.950/1.053
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8973/30.480/33.829/38.690/0.843
Info:Polynomial Selection (size optimized): Total time: 895.89
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 253.82
Info:Polynomial Selection (root optimized): Rootsieve time: 233.98
Info:Generate Factor Base: Total cpu/real time for makefb: 2.49/0.398544
Info:Generate Free Relations: Total cpu/real time for freerel: 64.73/8.13643
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4862531
Info:Lattice Sieving: Average J: 1943.22 for 60275 special-q, max bucket fill -bkmult 1.0,1s:1.181100
Info:Lattice Sieving: Total time: 10528.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.16/18.5071
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.199999999999996s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 80.79/62.2403
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 53.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 59.51/56.2663
Info:Filtering - Merging: Merged matrix has 284668 rows and total weight 44807179 (157.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.13/7.62644
Info:Filtering - Merging: Total cpu/real time for replay: 8.86/7.09912
Info:Linear Algebra: Total cpu/real time for bwc: 730.79/193.57
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 113.76, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Linear Algebra: Lingen CPU time 26.12, WCT time 7.11
Info:Linear Algebra: Mksol: WCT time 67.51, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 12.27/3.07072
Info:Square Root: Total cpu/real time for sqrt: 347.9/47.6236
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 32060.6/3160.66
Info:root: Cleaning up computation data in /tmp/cado.4q08crlw
289253395013511049625676410332695749845859599790044373553559 1942043987847557692057400592765547348558345700863
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)

7×10150-6

c101

name 名前Ignacio Santos
date 日付November 7, 2022 15:25:28 UTC 2022 年 11 月 8 日 (火) 0 時 25 分 28 秒 (日本時間)
composite number 合成数
16366409628761771130603274213301827054449686577056655531765966418406934549720159715266389002557102649<101>
prime factors 素因数
1791065624269189334987694806188056289<37>
9137805676684670319622942679589820536769083848499423215202033241<64>
factorization results 素因数分解の結果
Number: 1
N=16366409628761771130603274213301827054449686577056655531765966418406934549720159715266389002557102649
  ( 101 digits)
Divisors found:
 r1=1791065624269189334987694806188056289 (pp37)
 r2=9137805676684670319622942679589820536769083848499423215202033241 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.04 hours.
Scaled time: 23.76 units (timescale=7.819).
Factorization parameters were as follows:
name: 1
n: 16366409628761771130603274213301827054449686577056655531765966418406934549720159715266389002557102649
skew: 10748.93
# norm 1.41e+014
c5: 38640
c4: 814458704
c3: -8361328237180
c2: -100904973304530681
c1: 764840971052349026436
c0: -12592956965260079250612
# alpha -6.64
Y1: 55313249563
Y0: -13346754524774951365
# Murphy_E 3.58e-009
# M 12251985060243288392194665433149635142944092851329999724772701919295456237628909460239737848322506352
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 173160 x 173386
Total sieving time: 3.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.04 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)

7×10151-6

c134

name 名前Ignacio Santos
date 日付November 21, 2022 11:20:30 UTC 2022 年 11 月 21 日 (月) 20 時 20 分 30 秒 (日本時間)
composite number 合成数
59113440225935784560563265669693850515425212981301570288393553590557193082361511981040888942449783427851827698489109797952086518797623<134>
prime factors 素因数
2972375056041514594054849033006008380439859429278293<52>
19887611459322567550206532720097755285599770490640581514398845182660190646046014811<83>
factorization results 素因数分解の結果
Number: 1
N=59113440225935784560563265669693850515425212981301570288393553590557193082361511981040888942449783427851827698489109797952086518797623
  ( 134 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=2972375056041514594054849033006008380439859429278293 (pp52)
 r2=19887611459322567550206532720097755285599770490640581514398845182660190646046014811 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.75 hours.
Scaled time: 60.60 units (timescale=7.819).
Factorization parameters were as follows:
n: 59113440225935784560563265669693850515425212981301570288393553590557193082361511981040888942449783427851827698489109797952086518797623
m: 1000000000000000000000000000000
deg: 5
c5: 35
c0: -3
skew: 0.61
# Murphy_E = 1.495e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 361858 x 362085
Total sieving time: 7.68 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 7.75 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)

7×10157-6

c105

name 名前Ignacio Santos
date 日付November 7, 2022 16:53:01 UTC 2022 年 11 月 8 日 (火) 1 時 53 分 1 秒 (日本時間)
composite number 合成数
475988361518084334812293685429862233087312824392755902972715814238100246781454190853555736074287413318807<105>
prime factors 素因数
10082122175887605821776555198182226360091311217<47>
47211128095279153137447991652677726547497036146277531387271<59>
factorization results 素因数分解の結果
Number: 1
N=475988361518084334812293685429862233087312824392755902972715814238100246781454190853555736074287413318807
  ( 105 digits)
Divisors found:
 r1=10082122175887605821776555198182226360091311217 (pp47)
 r2=47211128095279153137447991652677726547497036146277531387271 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.48 hours.
Scaled time: 43.01 units (timescale=7.849).
Factorization parameters were as follows:
name: 1
n: 475988361518084334812293685429862233087312824392755902972715814238100246781454190853555736074287413318807
skew: 6587.69
# norm 6.80e+013
c5: 28620
c4: -158695394
c3: -4195049903704
c2: -27355840428133932
c1: 45928841844715839682
c0: 183740398993508947876979
# alpha -4.80
Y1: 37426149557
Y0: -110709656607233666652
# Murphy_E 1.94e-009
# M 473931324122045515397108055127990929019549696603750944689187136557068133123739298186635339002540995107566
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 243059 x 243284
Total sieving time: 5.43 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 5.48 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)

7×10158-6

c151

name 名前Bob Backstrom
date 日付November 9, 2022 09:52:21 UTC 2022 年 11 月 9 日 (水) 18 時 52 分 21 秒 (日本時間)
composite number 合成数
3257759305517200610779607212332849140324324086847506995502905283710485834578410157053132202004123262182039550370762328801607084312216317228389227811171<151>
prime factors 素因数
1499482663487845876242759517465409708321<40>
47606214393141301611992123335225874755618833199<47>
45636664688903663712609108772363773407345211681362390480174275949<65>
factorization results 素因数分解の結果
Number: n
N=3257759305517200610779607212332849140324324086847506995502905283710485834578410157053132202004123262182039550370762328801607084312216317228389227811171  ( 151 digits)
SNFS difficulty: 158 digits.
Divisors found:

Wed Nov  9 20:39:11 2022  found factor: 45636664688903663712609108772363773407345211681362390480174275949
Wed Nov  9 20:39:38 2022  p40 factor: 1499482663487845876242759517465409708321
Wed Nov  9 20:39:38 2022  p47 factor: 47606214393141301611992123335225874755618833199
Wed Nov  9 20:39:38 2022  p65 factor: 45636664688903663712609108772363773407345211681362390480174275949
Wed Nov  9 20:39:38 2022  elapsed time 00:08:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 7x10^158-6 = 69(157)4
#
n: 3257759305517200610779607212332849140324324086847506995502905283710485834578410157053132202004123262182039550370762328801607084312216317228389227811171
m: 10000000000000000000000000000000
deg: 5
c5: 3500
c0: -3
skew: 0.24
# Murphy_E = 5.943e-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, 14350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1941053 hash collisions in 16802778 relations (15916923 unique)
Msieve: matrix is 559758 x 560006 (117.3 MB)

Sieving start time : 2022/11/09 19:22:42
Sieving end time  : 2022/11/09 20:30:56

Total sieving time: 1hrs 8min 14secs.

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

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
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)

7×10159-6

c136

name 名前Bob Backstrom
date 日付November 10, 2022 05:37:50 UTC 2022 年 11 月 10 日 (木) 14 時 37 分 50 秒 (日本時間)
composite number 合成数
9613545916174059788967895669653665065942075930913847388641699418770774297825593431141474056317737844112620799774627371904115567924548259<136>
prime factors 素因数
77851799779104624312559988453149428758327<41>
123485210919354104167680003388855054187531174799179676168979027112656236149784309039402553712117<96>
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 9613545916174059788967895669653665065942075930913847388641699418770774297825593431141474056317737844112620799774627371904115567924548259 (136 digits)
Using B1=31920000, B2=144291357226, polynomial Dickson(12), sigma=1:1845165175
Step 1 took 63749ms
Step 2 took 22259ms
********** Factor found in step 2: 77851799779104624312559988453149428758327
Found prime factor of 41 digits: 77851799779104624312559988453149428758327
Prime cofactor 123485210919354104167680003388855054187531174799179676168979027112656236149784309039402553712117 has 96 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)

7×10160-6

c125

name 名前Eric Jeancolas
date 日付November 18, 2022 11:18:20 UTC 2022 年 11 月 18 日 (金) 20 時 18 分 20 秒 (日本時間)
composite number 合成数
16246845360729060456281023252103543672234883638814073745837431085024690869703551146497995164606752640556940656758185068329647<125>
prime factors 素因数
1730832342508348524261279034430733731042528179<46>
9386723925659885318357299716290521563142914274672786384790820968261126137571093<79>
factorization results 素因数分解の結果
16246845360729060456281023252103543672234883638814073745837431085024690869703551146497995164606752640556940656758185068329647=1730832342508348524261279034430733731042528179*9386723925659885318357299716290521563142914274672786384790820968261126137571093

cado polynomial
n: 16246845360729060456281023252103543672234883638814073745837431085024690869703551146497995164606752640556940656758185068329647
skew: 235202.56
c0: 1745294976910009279008332709872
c1: 7032324047951910056397344
c2: -8419884893202559745
c3: -1246953365354249
c4: -706413072
c5: 3960
Y0: -1523792297959914385120683
Y1: 10199636677657079
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.728e-07
# f(x) = 3960*x^5-706413072*x^4-1246953365354249*x^3-8419884893202559745*x^2+7032324047951910056397344*x+1745294976910009279008332709872
# g(x) = 10199636677657079*x-1523792297959914385120683

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: 1730832342508348524261279034430733731042528179 9386723925659885318357299716290521563142914274672786384790820968261126137571093
Info:Square Root: Total cpu/real time for sqrt: 1484.86/197.161
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): 20111/36.320/44.247/47.840/0.860
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15930/35.650/39.627/45.010/0.948
Info:Polynomial Selection (size optimized): Total time: 3156.24
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3254.21
Info:Polynomial Selection (root optimized): Rootsieve time: 3209.59
Info:Generate Factor Base: Total cpu/real time for makefb: 9.32/1.49496
Info:Generate Free Relations: Total cpu/real time for freerel: 148.93/18.7434
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11631347
Info:Lattice Sieving: Average J: 3823.94 for 176367 special-q, max bucket fill -bkmult 1.0,1s:1.151360
Info:Lattice Sieving: Total time: 101607s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.71/76.9804
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 76.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 169.45/134.405
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 128.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 83.04/90.5814
Info:Filtering - Merging: Merged matrix has 732120 rows and total weight 125254143 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 183.49/26.7071
Info:Filtering - Merging: Total cpu/real time for replay: 26.51/21.7921
Info:Linear Algebra: Total cpu/real time for bwc: 6276.92/1648.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1029.07, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23040 iterations)
Info:Linear Algebra: Lingen CPU time 82.61, WCT time 22.36
Info:Linear Algebra: Mksol: WCT time 567.63, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 38.68/9.58101
Info:Square Root: Total cpu/real time for sqrt: 1484.86/197.161
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 223172/28723.4
Info:root: Cleaning up computation data in /tmp/cado.5ltqu4pw
1730832342508348524261279034430733731042528179 9386723925659885318357299716290521563142914274672786384790820968261126137571093
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)

7×10161-6

c154

name 名前Bob Backstrom
date 日付November 9, 2022 03:28:01 UTC 2022 年 11 月 9 日 (水) 12 時 28 分 1 秒 (日本時間)
composite number 合成数
5329418109310963948450761757332072585882849553374206112748164544596426083079750737328802150392798670983211099576050880167866316145254417360527719590260327<154>
prime factors 素因数
60423398311438195839314773217204721742243<41>
88201230950992390568086919357987473288176297921105122081647448932229911789698018418004038877413943143244148474989<113>
factorization results 素因数分解の結果
Number: n
N=5329418109310963948450761757332072585882849553374206112748164544596426083079750737328802150392798670983211099576050880167866316145254417360527719590260327  ( 154 digits)
SNFS difficulty: 161 digits.
Divisors found:

Wed Nov  9 14:09:48 2022  p41 factor: 60423398311438195839314773217204721742243
Wed Nov  9 14:09:48 2022  p113 factor: 88201230950992390568086919357987473288176297921105122081647448932229911789698018418004038877413943143244148474989
Wed Nov  9 14:09:48 2022  elapsed time 00:07:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 7x10^161-6 = 69(160)4
#
n: 5329418109310963948450761757332072585882849553374206112748164544596426083079750737328802150392798670983211099576050880167866316145254417360527719590260327
m: 100000000000000000000000000000000
deg: 5
c5: 35
c0: -3
skew: 0.61
# Murphy_E = 6.163e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1403550 hash collisions in 14999690 relations (14588550 unique)
Msieve: matrix is 464814 x 465044 (157.5 MB)

Sieving start time : 2022/11/09 13:17:09
Sieving end time  : 2022/11/09 14:02:10

Total sieving time: 0hrs 45min 1secs.

Total relation processing time: 0hrs 3min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 23sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
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)

7×10163-6

c154

name 名前Bob Backstrom
date 日付November 9, 2022 02:19:51 UTC 2022 年 11 月 9 日 (水) 11 時 19 分 51 秒 (日本時間)
composite number 合成数
2670374302445101289771965756972117060196982218896968038606680426852651732308809939507799585659184113350726326020723299236140491305658889972384276084526541<154>
prime factors 素因数
168832250076529096635788054683301354595877839007<48>
15816731111707989119743352521207587573677492668082005137869965422998236610783738533383192663202380524281363<107>
factorization results 素因数分解の結果
Number: n
N=2670374302445101289771965756972117060196982218896968038606680426852651732308809939507799585659184113350726326020723299236140491305658889972384276084526541  ( 154 digits)
SNFS difficulty: 163 digits.
Divisors found:

Wed Nov  9 12:40:59 2022  p48 factor: 168832250076529096635788054683301354595877839007
Wed Nov  9 12:40:59 2022  p107 factor: 15816731111707989119743352521207587573677492668082005137869965422998236610783738533383192663202380524281363
Wed Nov  9 12:40:59 2022  elapsed time 00:09:05 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 7x10^163-6 = 69(162)4
#
n: 2670374302445101289771965756972117060196982218896968038606680426852651732308809939507799585659184113350726326020723299236140491305658889972384276084526541
m: 100000000000000000000000000000000
deg: 5
c5: 3500
c0: -3
skew: 0.24
# Murphy_E = 3.802e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1736303 hash collisions in 15454631 relations (14670752 unique)
Msieve: matrix is 578861 x 579086 (196.2 MB)

Sieving start time : 2022/11/09 11:15:57
Sieving end time  : 2022/11/09 12:31:36

Total sieving time: 1hrs 15min 39secs.

Total relation processing time: 0hrs 4min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 35sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

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)

7×10164-6

c119

name 名前Eric Jeancolas
date 日付November 15, 2022 19:22:52 UTC 2022 年 11 月 16 日 (水) 4 時 22 分 52 秒 (日本時間)
composite number 合成数
54283081267324495858160962563553224243181052654081114460163709351590684241265953591768705917406855393625043119976663439<119>
prime factors 素因数
2084980303078458981130782912193566293045072115797<49>
26035296922074468627830289578329939494107703197237160209752905974050387<71>
factorization results 素因数分解の結果
54283081267324495858160962563553224243181052654081114460163709351590684241265953591768705917406855393625043119976663439=2084980303078458981130782912193566293045072115797*26035296922074468627830289578329939494107703197237160209752905974050387

cado polynomial
n: 54283081267324495858160962563553224243181052654081114460163709351590684241265953591768705917406855393625043119976663439
skew: 17440.484
c0: 70583245923223791132952032
c1: -10342108932562227484872
c2: -483361015964336235
c3: 41395896996761
c4: 1234018112
c5: 45120
Y0: -86220194795300591560682
Y1: 31070595997515437
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.650e-06
# f(x) = 45120*x^5+1234018112*x^4+41395896996761*x^3-483361015964336235*x^2-10342108932562227484872*x+70583245923223791132952032
# g(x) = 31070595997515437*x-86220194795300591560682

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: 2084980303078458981130782912193566293045072115797 26035296922074468627830289578329939494107703197237160209752905974050387
Info:Square Root: Total cpu/real time for sqrt: 861.21/115.067
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20125/35.160/42.397/47.140/1.048
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15957/33.020/37.516/42.900/0.824
Info:Polynomial Selection (size optimized): Total time: 3117.11
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1268.72
Info:Polynomial Selection (root optimized): Rootsieve time: 1221.29
Info:Generate Factor Base: Total cpu/real time for makefb: 5.31/0.867604
Info:Generate Free Relations: Total cpu/real time for freerel: 131.51/16.5519
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13445085
Info:Lattice Sieving: Average J: 1896.97 for 234643 special-q, max bucket fill -bkmult 1.0,1s:1.234820
Info:Lattice Sieving: Total time: 48534.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.2/51.3277
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 152.39/112.229
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 107.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.01/51.5155
Info:Filtering - Merging: Merged matrix has 648522 rows and total weight 66217506 (102.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.49/8.37333
Info:Filtering - Merging: Total cpu/real time for replay: 14.16/11.2087
Info:Linear Algebra: Total cpu/real time for bwc: 2740.34/720.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 434.83, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20480 iterations)
Info:Linear Algebra: Lingen CPU time 66.15, WCT time 17.93
Info:Linear Algebra: Mksol: WCT time 254.64, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10240 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 23.07/5.64682
Info:Square Root: Total cpu/real time for sqrt: 861.21/115.067
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 120309/13985.5
Info:root: Cleaning up computation data in /tmp/cado.ynmflxqb
2084980303078458981130782912193566293045072115797 26035296922074468627830289578329939494107703197237160209752905974050387
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)

7×10165-6

c152

name 名前Bob Backstrom
date 日付November 9, 2022 22:06:35 UTC 2022 年 11 月 10 日 (木) 7 時 6 分 35 秒 (日本時間)
composite number 合成数
32576360177181957307583677069244726321357026452894103223859498552471469748423459685648536545801267163365744899065366662109251949071779794740160671597789<152>
prime factors 素因数
3709553505315527351767783675714510681<37>
8781746948925885879328832608594706913261334446253568440117257222881234781522173197793906407523349835872760733336869<115>
factorization results 素因数分解の結果
Number: n
N=32576360177181957307583677069244726321357026452894103223859498552471469748423459685648536545801267163365744899065366662109251949071779794740160671597789  ( 152 digits)
SNFS difficulty: 165 digits.
Divisors found:

Thu Nov 10 07:53:35 2022  p37 factor: 3709553505315527351767783675714510681
Thu Nov 10 07:53:35 2022  p115 factor: 8781746948925885879328832608594706913261334446253568440117257222881234781522173197793906407523349835872760733336869
Thu Nov 10 07:53:35 2022  elapsed time 00:09:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 7x10^165-6 = 69(164)4
#
n: 32576360177181957307583677069244726321357026452894103223859498552471469748423459685648536545801267163365744899065366662109251949071779794740160671597789
m: 1000000000000000000000000000000000
deg: 5
c5: 7
c0: -6
skew: 0.97
# Murphy_E = 3.73e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 36450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1191935 hash collisions in 13710784 relations (13420895 unique)
Msieve: matrix is 641435 x 641660 (218.4 MB)

Sieving start time : 2022/11/10 04:08:02
Sieving end time  : 2022/11/10 07:42:55

Total sieving time: 3hrs 34min 53secs.

Total relation processing time: 0hrs 5min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
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)

7×10166-6

c137

name 名前Erik Branger
date 日付December 2, 2022 22:11:59 UTC 2022 年 12 月 3 日 (土) 7 時 11 分 59 秒 (日本時間)
composite number 合成数
16056076654124615486565283172246317096293487518636371312400106162910170087097012970637456998937060593206883318591922664999867762779046069<137>
prime factors 素因数
1891439252136697377654611992349021581498494207464373137<55>
8488814343884736524627957773111837464241606270003784843455799180469301715318520037<82>
factorization results 素因数分解の結果
Number: 69994_166
N = 16056076654124615486565283172246317096293487518636371312400106162910170087097012970637456998937060593206883318591922664999867762779046069 (137 digits)
SNFS difficulty: 167 digits.
Divisors found:
r1=1891439252136697377654611992349021581498494207464373137 (pp55)
r2=8488814343884736524627957773111837464241606270003784843455799180469301715318520037 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 1.57 hours.
Factorization parameters were as follows:
n: 16056076654124615486565283172246317096293487518636371312400106162910170087097012970637456998937060593206883318591922664999867762779046069
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 35
c0: -3
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 10669663
Relations: 1382102 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 0.73 hours.
Total relation processing time: 0.10 hours.
Pruned matrix : 1247447 x 1247674
Matrix solve time: 0.71 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,167,3,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 1.57 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, 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)

7×10167-6

c110

name 名前Ignacio Santos
date 日付November 8, 2022 11:44:10 UTC 2022 年 11 月 8 日 (火) 20 時 44 分 10 秒 (日本時間)
composite number 合成数
36025667581222228433885085426382581267434407409962623767388159990763065040330698443591189386287118181716970353<110>
prime factors 素因数
70548912590671312692878461870998201472004413<44>
510648091633178550291494560643120999934157568287609733018763853381<66>
factorization results 素因数分解の結果
Number: 1
N=36025667581222228433885085426382581267434407409962623767388159990763065040330698443591189386287118181716970353
  ( 110 digits)
Divisors found:
 r1=70548912590671312692878461870998201472004413 (pp44)
 r2=510648091633178550291494560643120999934157568287609733018763853381 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.90 hours.
Scaled time: 77.36 units (timescale=7.813).
Factorization parameters were as follows:
name: 1
n: 36025667581222228433885085426382581267434407409962623767388159990763065040330698443591189386287118181716970353
skew: 23347.96
# norm 6.01e+014
c5: 11280
c4: 1150591588
c3: -2543916395512
c2: -537486935855643195
c1: 5786149255298565099384
c0: -6380893784027642384076705
# alpha -5.01
Y1: 324671611583
Y0: -1261415918126310048244
# Murphy_E 1.01e-009
# M 34709765304396291057003859072301658144893440085157027150271913840281109095888226243740590957074961078562257310
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 451705 x 451930
Total sieving time: 9.80 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 9.90 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)

7×10168-6

c112

name 名前Ignacio Santos
date 日付November 8, 2022 14:43:08 UTC 2022 年 11 月 8 日 (火) 23 時 43 分 8 秒 (日本時間)
composite number 合成数
4246823869357221436902122001391670044340952217371608315203288957378621044377041121001965646724890386116050586009<112>
prime factors 素因数
1546991372317729668600530535302414981152672912690891<52>
2745214967162069728174606309773176186391595457440973201225899<61>
factorization results 素因数分解の結果
Number: 1
N=4246823869357221436902122001391670044340952217371608315203288957378621044377041121001965646724890386116050586009
  ( 112 digits)
Divisors found:
 r1=1546991372317729668600530535302414981152672912690891 (pp52)
 r2=2745214967162069728174606309773176186391595457440973201225899 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.34 hours.
Scaled time: 80.57 units (timescale=7.794).
Factorization parameters were as follows:
name: 1
n: 4246823869357221436902122001391670044340952217371608315203288957378621044377041121001965646724890386116050586009
skew: 65291.12
# norm 2.16e+015
c5: 5160
c4: -1158341414
c3: -52969855480076
c2: 4299540956639586411
c1: 116548695470691737691624
c0: -2656646685038820991498602489
# alpha -6.08
Y1: 666780123779
Y0: -3829008277051730047622
# Murphy_E 8.47e-010
# M 3758857256255930702467512893905350992682341166264681425093171050501529720583493971020860448591875180963211083840
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 477895 x 478143
Total sieving time: 10.20 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 10.34 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)

7×10171-6

c149

name 名前Bob Backstrom
date 日付November 14, 2022 05:24:18 UTC 2022 年 11 月 14 日 (月) 14 時 24 分 18 秒 (日本時間)
composite number 合成数
57827389375913827570812721575170476802996426957376669398248552008856661469438077042188309340951537101577757804335229315015070230058751976674659613567<149>
prime factors 素因数
18745071399539218631301767172336405637199281<44>
3084938336235694982721327713769989699016710082222062595023313532261616523604101045289148558669543987650607<106>
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 57827389375913827570812721575170476802996426957376669398248552008856661469438077042188309340951537101577757804335229315015070230058751976674659613567 (149 digits)
Using B1=31780000, B2=144291357226, polynomial Dickson(12), sigma=1:1861379740
Step 1 took 63906ms
Step 2 took 22624ms
********** Factor found in step 2: 18745071399539218631301767172336405637199281
Found prime factor of 44 digits: 18745071399539218631301767172336405637199281
Prime cofactor 3084938336235694982721327713769989699016710082222062595023313532261616523604101045289148558669543987650607 has 106 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)

7×10174-6

c148

name 名前Bob Backstrom
date 日付November 13, 2022 13:51:07 UTC 2022 年 11 月 13 日 (日) 22 時 51 分 7 秒 (日本時間)
composite number 合成数
4205517641090100886984642985381870220895373513087248589806855985497727190482123373540755599621525995984511337470388802931944817265887830516796360949<148>
prime factors 素因数
1600892606358511162213555031730340633<37>
878909851429873588338517186422059565388494025457<48>
2988910617890791832254354398134322874572358602936694739695842829<64>
factorization results 素因数分解の結果
Number: n
N=2626982987107567516094500908093116272164436091474095592239407053678062481128180067822996091878944137446596897853  ( 112 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sun Nov 13 23:39:16 2022  p48 factor: 878909851429873588338517186422059565388494025457
Sun Nov 13 23:39:16 2022  p64 factor: 2988910617890791832254354398134322874572358602936694739695842829
Sun Nov 13 23:39:16 2022  elapsed time 00:17:48 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 7x10^174-6 = 69(173)4
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 4205517641090100886984642985381870220895373513087248589806855985497727190482123373540755599621525995984511337470388802931944817265887830516796360949 (148 digits)
# Using B1=26150000, B2=144285141016, polynomial Dickson(12), sigma=1:2363661290
# Step 1 took 51875ms
# Step 2 took 22825ms
# ********** Factor found in step 2: 1600892606358511162213555031730340633
# Found prime factor of 37 digits: 1600892606358511162213555031730340633
# Composite cofactor 2626982987107567516094500908093116272164436091474095592239407053678062481128180067822996091878944137446596897853 has 112 digits
#
n: 2626982987107567516094500908093116272164436091474095592239407053678062481128180067822996091878944137446596897853
m: 50000000000000000000000000000000000
deg: 5
c5: 56
c0: -15
skew: 0.77
# Murphy_E = 1.524e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2202105 hash collisions in 14785903 relations (13317131 unique)
Msieve: matrix is 752616 x 752842 (260.3 MB)

Sieving start time : 2022/11/13 21:51:13
Sieving end time  : 2022/11/13 23:21:09

Total sieving time: 1hrs 29min 56secs.

Total relation processing time: 0hrs 8min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 47sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,51,51,2.5,2.5,100000
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)

7×10175-6

c161

name 名前Bob Backstrom
date 日付November 12, 2022 18:31:07 UTC 2022 年 11 月 13 日 (日) 3 時 31 分 7 秒 (日本時間)
composite number 合成数
94347370331893501779952572214426237662979237871411607826034562182585835136272513351419649969203559047366977359934830512808184837912106681496024435489965168648681<161>
prime factors 素因数
69515787835159803640332874004697300782958463<44>
1357207812355027955224065577551180378892529396712218523912973056433987551902347896669439818302247639057737553487284887<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 94347370331893501779952572214426237662979237871411607826034562182585835136272513351419649969203559047366977359934830512808184837912106681496024435489965168648681 (161 digits)
Using B1=26510000, B2=144285831706, polynomial Dickson(12), sigma=1:331709415
Step 1 took 62862ms
Step 2 took 24536ms
********** Factor found in step 2: 69515787835159803640332874004697300782958463
Found prime factor of 44 digits: 69515787835159803640332874004697300782958463
Prime cofactor 1357207812355027955224065577551180378892529396712218523912973056433987551902347896669439818302247639057737553487284887 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)

7×10178-6

c139

name 名前Eric Jeancolas
date 日付December 14, 2022 06:14:22 UTC 2022 年 12 月 14 日 (水) 15 時 14 分 22 秒 (日本時間)
composite number 合成数
2278226206344262116153754791140273716423210657530147544419245503059228489173611804089923734868086613906111102028799538407540840747247360549<139>
prime factors 素因数
1939825287947747136237275256509742887531927<43>
1174449173592601628573951071475302260092603045248115663628110291428245462830361015525402224442787<97>
factorization results 素因数分解の結果
2278226206344262116153754791140273716423210657530147544419245503059228489173611804089923734868086613906111102028799538407540840747247360549=1939825287947747136237275256509742887531927*1174449173592601628573951071475302260092603045248115663628110291428245462830361015525402224442787

cado polynomial
n: 2278226206344262116153754791140273716423210657530147544419245503059228489173611804089923734868086613906111102028799538407540840747247360549
skew: 0.24
type: snfs
c0: -3
c5: 3500
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 3500*x^5-3
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6600000
tasks.lim1 = 6600000
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: 1174449173592601628573951071475302260092603045248115663628110291428245462830361015525402224442787 1939825287947747136237275256509742887531927
Info:Square Root: Total cpu/real time for sqrt: 297.11/93.5991
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 229.31/220.425
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 204.4s
Info:Square Root: Total cpu/real time for sqrt: 297.11/93.5991
Info:Generate Free Relations: Total cpu/real time for freerel: 120.09/32.7665
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.85/90.0363
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 113.66/103.859
Info:Filtering - Merging: Merged matrix has 1132625 rows and total weight 192746256 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 271.21/76.1232
Info:Filtering - Merging: Total cpu/real time for replay: 39.79/37.081
Info:Generate Factor Base: Total cpu/real time for makefb: 2.85/1.66242
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22424738
Info:Lattice Sieving: Average J: 1896.53 for 1075279 special-q, max bucket fill -bkmult 1.0,1s:1.237180
Info:Lattice Sieving: Total time: 170640s
Info:Linear Algebra: Total cpu/real time for bwc: 20198.5/5463.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12816.4, WCT time 3442.94, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35584 iterations)
Info:Linear Algebra: Lingen CPU time 231.55, WCT time 60.49
Info:Linear Algebra: Mksol: CPU time 6959.68,  WCT time 1872.7, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17920 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 38.34/17.8659
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 333775/91877.3
Info:root: Cleaning up computation data in /tmp/cado.aypkyhit
1174449173592601628573951071475302260092603045248115663628110291428245462830361015525402224442787 1939825287947747136237275256509742887531927
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)

7×10179-6

c155

name 名前Bob Backstrom
date 日付November 15, 2022 03:53:45 UTC 2022 年 11 月 15 日 (火) 12 時 53 分 45 秒 (日本時間)
composite number 合成数
15546635028273702735045108300811063507683692462470324827424687807331840412615118441394576022375160138370241885823261462277149840943014226303742053873818193<155>
prime factors 素因数
833039943137423577175069618569480981936927677<45>
18662532518814683964276046941852687420119807561860749932157489012738250459534615093291146422390370812792758309<110>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 15546635028273702735045108300811063507683692462470324827424687807331840412615118441394576022375160138370241885823261462277149840943014226303742053873818193 (155 digits)
Using B1=27540000, B2=144286522396, polynomial Dickson(12), sigma=1:2062384561
Step 1 took 66406ms
Step 2 took 24617ms
********** Factor found in step 2: 833039943137423577175069618569480981936927677
Found prime factor of 45 digits: 833039943137423577175069618569480981936927677
Prime cofactor 18662532518814683964276046941852687420119807561860749932157489012738250459534615093291146422390370812792758309 has 110 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)

7×10183-6

c130

name 名前Eric Jeancolas
date 日付November 16, 2022 09:43:27 UTC 2022 年 11 月 16 日 (水) 18 時 43 分 27 秒 (日本時間)
composite number 合成数
1279518414321415498641173987145131713801891937536668885967121118853008780340520809905488069647479408150756132856679288947328769749<130>
prime factors 素因数
6989977833095237158804093577420437979<37>
183050425176360111674405095369678998855493700090243749050183723107971075004270608777303695631<93>
factorization results 素因数分解の結果
1279518414321415498641173987145131713801891937536668885967121118853008780340520809905488069647479408150756132856679288947328769749=6989977833095237158804093577420437979*183050425176360111674405095369678998855493700090243749050183723107971075004270608777303695631

cado polynomial
n: 1279518414321415498641173987145131713801891937536668885967121118853008780340520809905488069647479408150756132856679288947328769749
skew: 43945.862
c0: 212964492496467734096351364900
c1: -9271743449525042267797275
c2: -863677699962779516326
c3: 2279796970496221
c4: 227514922976
c5: -1269840
Y0: -8499878872702506696513589
Y1: 34228676098330219
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.305e-07
# f(x) = -1269840*x^5+227514922976*x^4+2279796970496221*x^3-863677699962779516326*x^2-9271743449525042267797275*x+212964492496467734096351364900
# g(x) = 34228676098330219*x-8499878872702506696513589

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

cado log (extracts)
Info:Square Root: Factors: 183050425176360111674405095369678998855493700090243749050183723107971075004270608777303695631 6989977833095237158804093577420437979
Info:Square Root: Total cpu/real time for sqrt: 735.45/218.316
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 308.42/270.12
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 247.1s
Info:Square Root: Total cpu/real time for sqrt: 735.45/218.316
Info:Generate Free Relations: Total cpu/real time for freerel: 255.41/64.5888
Info:Filtering - Singleton removal: Total cpu/real time for purge: 158.77/182.573
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.1/111.988
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.69999999999999s
Info:Filtering - Merging: Merged matrix has 1671188 rows and total weight 286356187 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 420.15/118.18
Info:Filtering - Merging: Total cpu/real time for replay: 67.04/57.4391
Info:Generate Factor Base: Total cpu/real time for makefb: 39.3/10.8268
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23363610
Info:Lattice Sieving: Average J: 7698.85 for 54034 special-q, max bucket fill -bkmult 1.0,1s:1.073780
Info:Lattice Sieving: Total time: 77205.1s
Info:Linear Algebra: Total cpu/real time for bwc: 45316.6/11644.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28991.32, WCT time 7403.65, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52480 iterations)
Info:Linear Algebra: Lingen CPU time 329.32, WCT time 83.61
Info:Linear Algebra: Mksol: CPU time 15691.65,  WCT time 4041.15, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5113.66
Info:Polynomial Selection (root optimized): Rootsieve time: 5111.23
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38825/38.090/46.076/49.850/0.852
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30775/37.230/41.357/46.890/0.976
Info:Polynomial Selection (size optimized): Total time: 4937.44
Info:Quadratic Characters: Total cpu/real time for characters: 65.9/30.9467
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 202700/54948.2
Info:root: Cleaning up computation data in /tmp/cado.k6u_r4t8
183050425176360111674405095369678998855493700090243749050183723107971075004270608777303695631 6989977833095237158804093577420437979
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)

7×10184-6

c183

name 名前Bob Backstrom
date 日付November 14, 2022 19:14:31 UTC 2022 年 11 月 15 日 (火) 4 時 14 分 31 秒 (日本時間)
composite number 合成数
222929936305732484076433121019108280254777070063694267515923566878980891719745222929936305732484076433121019108280254777070063694267515923566878980891719745222929936305732484076433121<183>
prime factors 素因数
292874011136367475973007055639831243<36>
761180329523783671535720381979060137138103440302503688066466568480323793839974312985084918943106876655906563223575936074467666614132042226072322947<147>
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 222929936305732484076433121019108280254777070063694267515923566878980891719745222929936305732484076433121019108280254777070063694267515923566878980891719745222929936305732484076433121 (183 digits)
Using B1=25260000, B2=96190324246, polynomial Dickson(12), sigma=1:1597807289
Step 1 took 69510ms
Step 2 took 21657ms
********** Factor found in step 2: 292874011136367475973007055639831243
Found prime factor of 36 digits: 292874011136367475973007055639831243
Prime cofactor 761180329523783671535720381979060137138103440302503688066466568480323793839974312985084918943106876655906563223575936074467666614132042226072322947 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)

7×10185-6

c128

name 名前Norman Powell
date 日付November 12, 2022 15:33:53 UTC 2022 年 11 月 13 日 (日) 0 時 33 分 53 秒 (日本時間)
composite number 合成数
27741043111798028331267473377770610529795149724643937416008556006387078894516571720538541096737938878434342732888775758835933371<128>
prime factors 素因数
375243148958224576730399699729314268046783002629457617234537241<63>
73928180138170648781360723098804773030388027760007330643508082931<65>
factorization results 素因数分解の結果
n: 27741043111798028331267473377770610529795149724643937416008556006387078894516571720538541096737938878434342732888775758835933371
skew: 536437.55
c0: -5873544400948052572144143601130
c1: 843584040191088406531564725
c2: 733544642313424798240
c3: -14935980494726028
c4: -2332407224
c5: 6864
Y0: -5263918845510519998260413
Y1: 14730956143733
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5

prp65 = 73928180138170648781360723098804773030388027760007330643508082931
prp63 = 375243148958224576730399699729314268046783002629457617234537241
NFS elapsed time = 46122.0998 seconds
software ソフトウェア
YAFU v1.34
execution environment 実行環境
Windows 7 SP1, Intel Xeon E5-1620.

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 14:13:05 UTC 2022 年 11 月 8 日 (火) 23 時 13 分 5 秒 (日本時間)

7×10187-6

c160

name 名前Bob Backstrom
date 日付November 18, 2022 09:08:49 UTC 2022 年 11 月 18 日 (金) 18 時 8 分 49 秒 (日本時間)
composite number 合成数
1227969801212443816771259414390886414489009835779634955187426538892979823316955924708818389485816451880968939603791776485625018621163450481191429967457845491101<160>
prime factors 素因数
15833732086601782410609331741029301367<38>
3635802763176260680207892618110689934511546311751579799405163<61>
21330649472335134245074693699292166590765087534957861598115681<62>
factorization results 素因数分解の結果
Number: n
N=77554034291860327935488407007998460421960505924499418996620155137385534725126819510967246733374885421110525383405462661003  ( 122 digits)
Divisors found:

Fri Nov 18 20:04:22 2022  p61 factor: 3635802763176260680207892618110689934511546311751579799405163
Fri Nov 18 20:04:22 2022  p62 factor: 21330649472335134245074693699292166590765087534957861598115681
Fri Nov 18 20:04:22 2022  elapsed time 00:06:52 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 7x10^187-6 = 69(186)4
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 1227969801212443816771259414390886414489009835779634955187426538892979823316955924708818389485816451880968939603791776485625018621163450481191429967457845491101 (160 digits)
# Using B1=26640000, B2=144285831706, polynomial Dickson(12), sigma=1:1059406628
# Step 1 took 62846ms
# Step 2 took 24331ms
# ********** Factor found in step 2: 15833732086601782410609331741029301367
# Found prime factor of 38 digits: 15833732086601782410609331741029301367
# Composite cofactor 77554034291860327935488407007998460421960505924499418996620155137385534725126819510967246733374885421110525383405462661003 has 122 digits
#

n: 77554034291860327935488407007998460421960505924499418996620155137385534725126819510967246733374885421110525383405462661003

Y0: -916373874525572898362612
Y1: 70351624689341
c0: -80029924637895464735607608205405
c1: 669084308814581368257160737
c2: -715544297455817440003
c3: -1096606490460785
c4: 214795736
c5: 120

# skew 1391974.98, size 1.103e-11, alpha -7.338, combined = 2.340e-10 rroots = 5

skew: 1391974.98

type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2435772 hash collisions in 12511053 relations (10144273 unique)
Msieve: matrix is 465638 x 465886 (126.0 MB)

Sieving start time : 2022/11/18 18:33:48
Sieving end time  : 2022/11/18 19:57:11

Total sieving time: 1hrs 23min 23secs.

Total relation processing time: 0hrs 2min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 59sec.

Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,26,26,50,50,2.6,2.6,60000
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)

7×10191-6

c155

name 名前Bob Backstrom
date 日付December 23, 2022 06:17:04 UTC 2022 年 12 月 23 日 (金) 15 時 17 分 4 秒 (日本時間)
composite number 合成数
28115253665655992793347590796638659444251668827286879360406228915700829222711686321981336435731824655559211890247295848165489305384279189590916564267521413<155>
prime factors 素因数
50230061659848530827097483024941608489818697943010558234403619<62>
559729626773083570548098433024344198143079275255071910754458091698047123588394992232183702327<93>
factorization results 素因数分解の結果
Number: n
N=28115253665655992793347590796638659444251668827286879360406228915700829222711686321981336435731824655559211890247295848165489305384279189590916564267521413  ( 155 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Dec 23 16:47:57 2022  p62 factor: 50230061659848530827097483024941608489818697943010558234403619
Fri Dec 23 16:47:57 2022  p93 factor: 559729626773083570548098433024344198143079275255071910754458091698047123588394992232183702327
Fri Dec 23 16:47:57 2022  elapsed time 00:36:09 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 7x10^191-6 = 69(190)4
#
n: 28115253665655992793347590796638659444251668827286879360406228915700829222711686321981336435731824655559211890247295848165489305384279189590916564267521413
m: 100000000000000000000000000000000000000
deg: 5
c5: 35
c0: -3
skew: 0.61
# Murphy_E = 3.853e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 18250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1661526 hash collisions in 13394916 relations (12481337 unique)
Msieve: matrix is 1306170 x 1306395 (454.3 MB)

Sieving start time : 2022/12/23 11:42:23
Sieving end time  : 2022/12/23 16:11:28

Total sieving time: 4hrs 29min 5secs.

Total relation processing time: 0hrs 29min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 59sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,27,27,52,52,2.5,2.5,100000
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)
403e633501000Dmitry DomanovNovember 15, 2022 23:04:01 UTC 2022 年 11 月 16 日 (水) 8 時 4 分 1 秒 (日本時間)
2350Ignacio SantosNovember 17, 2022 16:33:21 UTC 2022 年 11 月 18 日 (金) 1 時 33 分 21 秒 (日本時間)

7×10192-6

c162

name 名前Bob Backstrom
date 日付November 21, 2022 19:30:53 UTC 2022 年 11 月 22 日 (火) 4 時 30 分 53 秒 (日本時間)
composite number 合成数
364024362459540054799435315033845106294119274871319372612678570788338241049166791640437476556250299855055777831579838322099764696484945090438768206741978716979671<162>
prime factors 素因数
91833633088836565867821436943532208114081<41>
289908373685051778970892519111556373849915797188703166368223<60>
13673129410014238826624262598260524985155010449255918137050217<62>
factorization results 素因数分解の結果
Number: n
N=3963954710442479511489553422709079155860072205408824879476715571690493089930036067543672611947138919932508793066064054391  ( 121 digits)
Divisors found:

Tue Nov 22 06:27:16 2022  p60 factor: 289908373685051778970892519111556373849915797188703166368223
Tue Nov 22 06:27:16 2022  p62 factor: 13673129410014238826624262598260524985155010449255918137050217
Tue Nov 22 06:27:16 2022  elapsed time 00:07:25 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 7x10^192-6 = 69(191)4
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 364024362459540054799435315033845106294119274871319372612678570788338241049166791640437476556250299855055777831579838322099764696484945090438768206741978716979671 (162 digits)
# Using B1=34530000, B2=144293429296, polynomial Dickson(12), sigma=1:2087315700
# Step 1 took 86024ms
# Step 2 took 25701ms
# ********** Factor found in step 2: 91833633088836565867821436943532208114081
# Found prime factor of 41 digits: 91833633088836565867821436943532208114081
# Composite cofactor 3963954710442479511489553422709079155860072205408824879476715571690493089930036067543672611947138919932508793066064054391 has 121 digits
#

n: 3963954710442479511489553422709079155860072205408824879476715571690493089930036067543672611947138919932508793066064054391

Y0: -405855483430186081459527
Y1: 47509783669379
c0: -7407308506311337644696649655440
c1: 17645461820068776731617684
c2: 86820203549315575132
c3: -359608647985765
c4: -218808066
c5: 360

# skew 625911.76, size 1.395e-11, alpha -6.647, combined = 2.692e-10 rroots = 3

skew: 625911.76

type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 13950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 884751 hash collisions in 6691480 relations (6007106 unique)
Msieve: matrix is 493510 x 493736 (172.7 MB)

Sieving start time : 2022/11/22 04:58:35
Sieving end time  : 2022/11/22 06:19:35

Total sieving time: 1hrs 21min 0secs.

Total relation processing time: 0hrs 3min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 59sec.

Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,60000
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 15, 2022 23:04:18 UTC 2022 年 11 月 16 日 (水) 8 時 4 分 18 秒 (日本時間)
2350Ignacio SantosNovember 18, 2022 16:58:55 UTC 2022 年 11 月 19 日 (土) 1 時 58 分 55 秒 (日本時間)

7×10193-6

c158

name 名前Ignacio Santos
date 日付November 21, 2022 14:33:08 UTC 2022 年 11 月 21 日 (月) 23 時 33 分 8 秒 (日本時間)
composite number 合成数
17635992729937072085562263685193718788121934679623403972445756686141264624829749635216146170846116737116822918810021844699748437161382041457716594090497325477<158>
prime factors 素因数
10564422457446689858656334671707688720907<41>
composite cofactor 合成数の残り
1669375945630207845479803412310089955957605091566066712840339476577730521275755984407075085849109597961515283626506511<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:274646598
Step 1 took 4453ms
Step 2 took 2328ms
********** Factor found in step 2: 10564422457446689858656334671707688720907
Found prime factor of 41 digits: 10564422457446689858656334671707688720907
Composite cofactor 1669375945630207845479803412310089955957605091566066712840339476577730521275755984407075085849109597961515283626506511 has 118 digits
software ソフトウェア
GMP-ECM

c118

name 名前Ignacio Santos
date 日付November 23, 2022 16:06:38 UTC 2022 年 11 月 24 日 (木) 1 時 6 分 38 秒 (日本時間)
composite number 合成数
1669375945630207845479803412310089955957605091566066712840339476577730521275755984407075085849109597961515283626506511<118>
prime factors 素因数
613612492069154450019672575494508080205105030529654221<54>
2720570339109178859316433266091639261681109217229236926241404491<64>
factorization results 素因数分解の結果
Number: 1
N=1669375945630207845479803412310089955957605091566066712840339476577730521275755984407075085849109597961515283626506511
  ( 118 digits)
Divisors found:
 r1=613612492069154450019672575494508080205105030529654221 (pp54)
 r2=2720570339109178859316433266091639261681109217229236926241404491 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 24.28 hours.
Scaled time: 168.17 units (timescale=6.925).
Factorization parameters were as follows:
name: 1
n: 1669375945630207845479803412310089955957605091566066712840339476577730521275755984407075085849109597961515283626506511
skew: 37008.53
# norm 8.35e+015
c5: 18000
c4: 7484996592
c3: -30265753799448
c2: -13768041084330214844
c1: -198547440153166376274775
c0: -503334928071739920375402300
# alpha -5.23
Y1: 5446212286021
Y0: -39214918177111442953319
# Murphy_E 3.83e-010
# M 1014838920879123815413964907450540191548187733307757713662739783747320392088674158498707331775889134708528153219175800
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 595149 x 595380
Total sieving time: 24.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 24.28 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)
403e633501000Dmitry DomanovNovember 15, 2022 23:04:26 UTC 2022 年 11 月 16 日 (水) 8 時 4 分 26 秒 (日本時間)
2350Ignacio SantosNovember 23, 2022 12:17:33 UTC 2022 年 11 月 23 日 (水) 21 時 17 分 33 秒 (日本時間)

7×10198-6

c193

name 名前Bob Backstrom
date 日付February 13, 2023 12:41:20 UTC 2023 年 2 月 13 日 (月) 21 時 41 分 20 秒 (日本時間)
composite number 合成数
5573488032128769867494303099018588378799725465903788857164241137755922627246712836379908053371721395665100251125446476202002315386171061494682096204773135150715078514522121173999519087604084889<193>
prime factors 素因数
592245980268790973865658848449455031564790084440528998334039792316368753<72>
9410765489027449450779356444388048222698416129012186858468645938889233962159606351491362926957551398681924480907069388713<121>
factorization results 素因数分解の結果
Number: n
N=5573488032128769867494303099018588378799725465903788857164241137755922627246712836379908053371721395665100251125446476202002315386171061494682096204773135150715078514522121173999519087604084889  ( 193 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Feb 11 21:33:58 2023  prp72 factor: 592245980268790973865658848449455031564790084440528998334039792316368753
Sat Feb 11 21:33:58 2023  prp121 factor: 9410765489027449450779356444388048222698416129012186858468645938889233962159606351491362926957551398681924480907069388713
Sat Feb 11 21:33:58 2023  elapsed time 02:27:41 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 7x10^198-6 = 69(197)4
#
n: 5573488032128769867494303099018588378799725465903788857164241137755922627246712836379908053371721395665100251125446476202002315386171061494682096204773135150715078514522121173999519087604084889
m: 1000000000000000000000000000000000
deg: 6
c6: 7
c0: -6
skew: 0.97
# Murphy_E = 1.609e-11
type: snfs
lss: 1
rlim: 14900000
alim: 14000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 14900000/14000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/53
Sieved  special-q in [100000, 40250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1850348 hash collisions in 13271461 relations (12355482 unique)
Msieve: matrix is 2172142 x 2172367 (621.1 MB)

Sieving start time: 2023/02/11 03:38:32
Sieving end time  : 2023/02/11 19:05:59

Total sieving time: 15hrs 27min 27secs.

Total relation processing time: 2hrs 20min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 8sec.

Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,14900000,14000000,27,27,52,53,2.5,2.5,100000
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 15, 2022 23:04:34 UTC 2022 年 11 月 16 日 (水) 8 時 4 分 34 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2023 15:47:13 UTC 2023 年 2 月 11 日 (土) 0 時 47 分 13 秒 (日本時間)

7×10201-6

c160

name 名前Dmitry Domanov
date 日付November 17, 2022 23:35:25 UTC 2022 年 11 月 18 日 (金) 8 時 35 分 25 秒 (日本時間)
composite number 合成数
1809476723188347224234168029998423022447643307149561812451904792058733365902094569927254654772392759856501226888720963761136508328422119447521057822752729166487<160>
prime factors 素因数
11941664606254670892291963073764079<35>
composite cofactor 合成数の残り
151526339321286903357322538082680610206152660162570806335971382887965905036844889453891706066400576758688633712149333273985753<126>
factorization results 素因数分解の結果
GPU: factor 11941664606254670892291963073764079 found in Step 1 with curve 201 (-sigma 3:-2099794241)
GPU: factor 11941664606254670892291963073764079 found in Step 1 with curve 1369 (-sigma 3:-2099793073)
Computing 1792 Step 1 took 172ms of CPU time / 178266ms of GPU time
Throughput: 10.052 curves per second (on average 99.48ms per Step 1)
********** Factor found in step 1: 11941664606254670892291963073764079
Found prime factor of 35 digits: 11941664606254670892291963073764079
Composite cofactor 151526339321286903357322538082680610206152660162570806335971382887965905036844889453891706066400576758688633712149333273985753 has 126 digits
Peak memory usage: 9428MB

c126

name 名前Eric Jeancolas
date 日付November 19, 2022 04:01:43 UTC 2022 年 11 月 19 日 (土) 13 時 1 分 43 秒 (日本時間)
composite number 合成数
151526339321286903357322538082680610206152660162570806335971382887965905036844889453891706066400576758688633712149333273985753<126>
prime factors 素因数
347971619396689318973983967575803413247954169211993255497<57>
435456028235872156209723756852365555549479505927574479080816735711249<69>
factorization results 素因数分解の結果
151526339321286903357322538082680610206152660162570806335971382887965905036844889453891706066400576758688633712149333273985753=347971619396689318973983967575803413247954169211993255497*435456028235872156209723756852365555549479505927574479080816735711249

cado polynomial
n: 151526339321286903357322538082680610206152660162570806335971382887965905036844889453891706066400576758688633712149333273985753
skew: 10861.076
c0: -66723492671561678364827136
c1: -197384466069237430117788
c2: -21951353314064248556
c3: 4889035210052821
c4: 101248393218
c5: -4208400
Y0: -946145686787637033612413
Y1: 107888660337564973
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.415e-07
# f(x) = -4208400*x^5+101248393218*x^4+4889035210052821*x^3-21951353314064248556*x^2-197384466069237430117788*x-66723492671561678364827136
# g(x) = 107888660337564973*x-946145686787637033612413

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: 347971619396689318973983967575803413247954169211993255497 435456028235872156209723756852365555549479505927574479080816735711249
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): 20392/37.080/44.604/48.260/0.865
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16108/36.590/39.974/45.390/0.986
Info:Polynomial Selection (size optimized): Total time: 2700.51
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2684.34
Info:Polynomial Selection (root optimized): Rootsieve time: 2636.31
Info:Generate Factor Base: Total cpu/real time for makefb: 9.09/1.45418
Info:Generate Free Relations: Total cpu/real time for freerel: 132.64/16.693
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11904417
Info:Lattice Sieving: Average J: 3774.81 for 213171 special-q, max bucket fill -bkmult 1.0,1s:1.156210
Info:Lattice Sieving: Total time: 97428.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.27/61.0663
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.800000000000004s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.75/173.543
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 158.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 131.86/136
Info:Filtering - Merging: Merged matrix has 773955 rows and total weight 132761636 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 151.8/22.9637
Info:Filtering - Merging: Total cpu/real time for replay: 25.66/21.0086
Info:Linear Algebra: Total cpu/real time for bwc: 6102.15/1595.39
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 999.24, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Linear Algebra: Lingen CPU time 76.31, WCT time 20.66
Info:Linear Algebra: Mksol: WCT time 550.19, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 37.3/9.22113
Info:Square Root: Total cpu/real time for sqrt: 1599.44/209.337
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 221575/27267.9
Info:root: Cleaning up computation data in /tmp/cado.a6w0zy60
347971619396689318973983967575803413247954169211993255497 435456028235872156209723756852365555549479505927574479080816735711249
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)
403e641421792Dmitry DomanovNovember 17, 2022 21:58:35 UTC 2022 年 11 月 18 日 (金) 6 時 58 分 35 秒 (日本時間)
2350Ignacio SantosNovember 18, 2022 15:50:31 UTC 2022 年 11 月 19 日 (土) 0 時 50 分 31 秒 (日本時間)

7×10202-6

c186

name 名前Bob Backstrom
date 日付July 6, 2023 09:22:53 UTC 2023 年 7 月 6 日 (木) 18 時 22 分 53 秒 (日本時間)
composite number 合成数
962564888534024316790891559739424697274195907856039166847598967262747714477917681888492858631905615570773702596213235647541829917546416563533264755781007963444291274639185344868324435343<186>
prime factors 素因数
1987573117589941122943433115504150384601424374463491191919<58>
66551140547814450724951058329370883737833719371704857944016989<62>
7276983646313013265760086034490701088136624754783100679518983500373<67>
factorization results 素因数分解の結果
Number: n
N=962564888534024316790891559739424697274195907856039166847598967262747714477917681888492858631905615570773702596213235647541829917546416563533264755781007963444291274639185344868324435343  ( 186 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu Jul  6 19:19:01 2023  prp58 factor: 1987573117589941122943433115504150384601424374463491191919
Thu Jul  6 19:19:01 2023  prp62 factor: 66551140547814450724951058329370883737833719371704857944016989
Thu Jul  6 19:19:01 2023  prp67 factor: 7276983646313013265760086034490701088136624754783100679518983500373
Thu Jul  6 19:19:01 2023  elapsed time 03:14:34 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
#
# N = 7x10^202-6 = 69(201)4
#
n: 962564888534024316790891559739424697274195907856039166847598967262747714477917681888492858631905615570773702596213235647541829917546416563533264755781007963444291274639185344868324435343
m: 10000000000000000000000000000000000000000
deg: 5
c5: 350
c0: -3
skew: 0.39
# Murphy_E = 1.063e-11
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, 33900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2766477 hash collisions in 16096735 relations (13995180 unique)
Msieve: matrix is 2453084 x 2453309 (692.7 MB)

Sieving start time: 2023/07/06 03:05:13
Sieving end time  : 2023/07/06 16:04:05

Total sieving time: 12hrs 58min 52secs.

Total relation processing time: 3hrs 3min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 24sec.

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)
403e61792 / 2078Dmitry DomanovNovember 17, 2022 21:58:40 UTC 2022 年 11 月 18 日 (金) 6 時 58 分 40 秒 (日本時間)

7×10205-6

c140

name 名前ebina
date 日付November 23, 2022 20:59:48 UTC 2022 年 11 月 24 日 (木) 5 時 59 分 48 秒 (日本時間)
composite number 合成数
38459152449883670330763753446732404849844393370736416271294980900058810643065099051893199760377509322417887538051960299993744116356105499177<140>
prime factors 素因数
118592023536822155217495391890795145662516715469304468370933976623271<69>
324297969651747447884034957048321597372994098150696963939073970663872687<72>
factorization results 素因数分解の結果
Number: 69994_205
N = 38459152449883670330763753446732404849844393370736416271294980900058810643065099051893199760377509322417887538051960299993744116356105499177 (140 digits)
Divisors found:
r1=118592023536822155217495391890795145662516715469304468370933976623271 (pp69)
r2=324297969651747447884034957048321597372994098150696963939073970663872687 (pp72)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 41.31 hours.
Factorization parameters were as follows:
n: 38459152449883670330763753446732404849844393370736416271294980900058810643065099051893199760377509322417887538051960299993744116356105499177
# norm 1.664393e-13 alpha -8.116494 e 1.943e-11 rroots 3
skew: 12152394.49
c0: -34175473921981434461489385029228069605
c1: 15016653519022701938385795964352
c2: 604141936148162729716551
c3: -313712314800357284
c4: -20750818094
c5: 264
Y0: -2708190936446746676873432298
Y1: 49121903710783
type: gnfs
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23137503
Relations: 3756076 relations
Pruned matrix : 2233636 x 2233864
Polynomial selection time: 0.35 hours.
Total sieving time: 38.63 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.07 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,12200000,12200000,28,28,56,56,2.5,2.5,100000
total time: 41.31 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 10:27:04 UTC 2022 年 11 月 8 日 (火) 19 時 27 分 4 秒 (日本時間)
4511e64480Ignacio SantosNovember 10, 2022 14:17:42 UTC 2022 年 11 月 10 日 (木) 23 時 17 分 42 秒 (日本時間)

7×10206-6

c159

name 名前Bob Backstrom
date 日付March 4, 2024 23:49:57 UTC 2024 年 3 月 5 日 (火) 8 時 49 分 57 秒 (日本時間)
composite number 合成数
724570962894285461611332673838159239564703705586485293179809517888601647470253678297967343066604216046251443120982929304787080036993703906829781548261691237631<159>
prime factors 素因数
14541378725925288809618979163375807083822460137367490291937390511608944377<74>
49828216192627908518008759462658744091378343630532442559294200273890626917788043608503<86>
factorization results 素因数分解の結果
Number: n
N=724570962894285461611332673838159239564703705586485293179809517888601647470253678297967343066604216046251443120982929304787080036993703906829781548261691237631  ( 159 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Mar  5 10:39:42 2024  prp74 factor: 14541378725925288809618979163375807083822460137367490291937390511608944377
Tue Mar  5 10:39:42 2024  prp86 factor: 49828216192627908518008759462658744091378343630532442559294200273890626917788043608503
Tue Mar  5 10:39:42 2024  elapsed time 03:22:43 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.071).
Factorization parameters were as follows:
#
# N = 7x10^206-6 = 69(205)4
#
n: 724570962894285461611332673838159239564703705586485293179809517888601647470253678297967343066604216046251443120982929304787080036993703906829781548261691237631
m: 100000000000000000000000000000000000000000
deg: 5
c5: 35
c0: -3
skew: 0.61
# Murphy_E = 9.087e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3042695 hash collisions in 18676952 relations (16102619 unique)
Msieve: matrix is 2486343 x 2486568 (701.1 MB)

Sieving start time: 2024/03/04 06:48:01
Sieving end time  : 2024/03/05 07:16:35

Total sieving time: 24hrs 28min 34secs.

Total relation processing time: 3hrs 12min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 20sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
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)
403e641421792Dmitry DomanovNovember 17, 2022 21:58:51 UTC 2022 年 11 月 18 日 (金) 6 時 58 分 51 秒 (日本時間)
2350Ignacio SantosFebruary 26, 2024 14:08:08 UTC 2024 年 2 月 26 日 (月) 23 時 8 分 8 秒 (日本時間)
4511e64480Ignacio SantosFebruary 27, 2024 09:44:24 UTC 2024 年 2 月 27 日 (火) 18 時 44 分 24 秒 (日本時間)

7×10209-6

c170

composite cofactor 合成数の残り
57192914580839504859112541603952391885274873969451871636053539456998177399771322350309090105965168353743350587793253112953884191283071646090383429869072026923390830914401<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)
403e61792 / 2078Dmitry DomanovNovember 17, 2022 21:58:57 UTC 2022 年 11 月 18 日 (金) 6 時 58 分 57 秒 (日本時間)

7×10211-6

c168

composite cofactor 合成数の残り
907243903716792379595427291565157173179095828322301888751756722591041309881189259731502167574990688815804025136952614235245792370883234374666634883468057775284973526153<168>

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)
403e62080ebinaNovember 8, 2022 11:08:43 UTC 2022 年 11 月 8 日 (火) 20 時 8 分 43 秒 (日本時間)

7×10212-6

c211

composite cofactor 合成数の残り
4430379746835443037974683544303797468354430379746835443037974683544303797468354430379746835443037974683544303797468354430379746835443037974683544303797468354430379746835443037974683544303797468354430379746835443<211>

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 DomanovNovember 17, 2022 21:59:09 UTC 2022 年 11 月 18 日 (金) 6 時 59 分 9 秒 (日本時間)

7×10213-6

c142

name 名前Bob Backstrom
date 日付January 23, 2024 11:00:21 UTC 2024 年 1 月 23 日 (火) 20 時 0 分 21 秒 (日本時間)
composite number 合成数
2747027482287324890253043518758441204473623067434013942183101856015982599013826150535233564908565102635513169633898115691949294308979466435153<142>
prime factors 素因数
7368598540758299485817972330655211467676915894853862705126745559<64>
372801892665552845647740755550397871314550359243452227320352222697622393785367<78>
factorization results 素因数分解の結果
./cado-nfs.py -t 20 2747027482287324890253043518758441204473623067434013942183101856015982599013826150535233564908565102635513169633898115691949294308979466435153

Info:Square Root: Factors: 372801892665552845647740755550397871314550359243452227320352222697622393785367 7368598540758299485817972330655211467676915894853862705126745559

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 3767.94/461.867

Info:HTTP server: Got notification to stop serving Workunits

Info:Linear Algebra: Total cpu/real time for bwc: 57336.5/11500.5

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 34071.86, WCT time 7052.38, iteration CPU time 0.04, COMM 0.04, cpu-wait 0.02, comm-wait 0.01 (64000 iterations)

Info:Linear Algebra: Lingen CPU time 290.8, WCT time 50.94

Info:Linear Algebra: Mksol: CPU time 19410.94,  WCT time 3784.21, iteration CPU time 0.06, COMM 0.04, cpu-wait 0.02, comm-wait 0.0 (32000 iterations)

Info:Polynomial Selection (root optimized): Aggregate statistics:

Info:Polynomial Selection (root optimized): Total time: 6686.68

Info:Polynomial Selection (root optimized): Rootsieve time: 6684.25

Info:Polynomial Selection (size optimized): Aggregate statistics:

Info:Polynomial Selection (size optimized): potential collisions: 103388

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 71356/43.380/52.801/68.110/2.400

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 60619/41.390/45.840/55.960/1.351

Info:Polynomial Selection (size optimized): Total time: 56456.5

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 78051579

Info:Lattice Sieving: Average J: 6814.82 for 604570 special-q, max bucket fill -bkmult 1.0,1s:1.245070

Info:Lattice Sieving: Total time: 1.71722e+06s

Info:Square Root: Total cpu/real time for sqrt: 3767.94/461.867

Info:Generate Free Relations: Total cpu/real time for freerel: 825.9/93.0125

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1201.38/538.914

Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 493.00000000000006s

Info:Filtering - Merging: Total cpu/real time for merge: 296.04/81.1955

Info:Filtering - Merging: Total cpu/real time for replay: 40.31/37.1197

Info:Quadratic Characters: Total cpu/real time for characters: 84.09/20.2925

Info:Filtering - Singleton removal: Total cpu/real time for purge: 442.99/126.366

Info:Generate Factor Base: Total cpu/real time for makefb: 8.55/2.95147

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 616.62/2640.69

Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 2640.4s

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.31641e+06/207072 [2d 09:31:12]

Info:root: Cleaning up computation data in /tmp/cado.33r1aom_

372801892665552845647740755550397871314550359243452227320352222697622393785367 7368598540758299485817972330655211467676915894853862705126745559

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 10:54:59 UTC 2022 年 11 月 9 日 (水) 19 時 54 分 59 秒 (日本時間)
4511e64480Ignacio SantosNovember 10, 2022 15:11:08 UTC 2022 年 11 月 11 日 (金) 0 時 11 分 8 秒 (日本時間)
5043e66454Ignacio SantosDecember 19, 2022 11:34:06 UTC 2022 年 12 月 19 日 (月) 20 時 34 分 6 秒 (日本時間)

7×10214-6

c202

composite cofactor 合成数の残り
2180729722324855502251600439703585264155968050803992888252573715249511313738961318495437375561013542543056388247693484472327000911364408357092472513972055606435155081793906165754750676195321146015349039<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)
403e61792 / 2078Dmitry DomanovNovember 17, 2022 21:59:18 UTC 2022 年 11 月 18 日 (金) 6 時 59 分 18 秒 (日本時間)

7×10215-6

c202

composite cofactor 合成数の残り
1441086475354565749406289765111412629707209964121246325747854108664886273900294571957903821080633649727845973793261772571773487757244898902924130979171210079010365558830581701346201499587931421199635659<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)
403e61792 / 2078Dmitry DomanovNovember 17, 2022 21:59:25 UTC 2022 年 11 月 18 日 (金) 6 時 59 分 25 秒 (日本時間)

7×10218-6

c194

name 名前Dmitry Domanov
date 日付November 19, 2022 03:10:44 UTC 2022 年 11 月 19 日 (土) 12 時 10 分 44 秒 (日本時間)
composite number 合成数
24032030961798886610992730150101492090740949765462858637768177994874767748311819064893118542256805964038547293168164994726718008069720502432042290825594303328423816721986844012050928665197557109<194>
prime factors 素因数
113394452194623171159248703007769<33>
211933039903502565641866368286865327536901796472389287013554318809491199058543322262882151234003968963263750597135725449513489772101626669718318281379635656572861<162>
factorization results 素因数分解の結果
Resuming ECM residue saved by @274563833fb1 with GMP-ECM 7.0.5-dev on Thu Nov 17 23:09:46 2022 
Input number is 24032030961798886610992730150101492090740949765462858637768177994874767748311819064893118542256805964038547293168164994726718008069720502432042290825594303328423816721986844012050928665197557109 (194 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4001090085
Step 1 took 0ms
Step 2 took 3588ms
********** Factor found in step 2: 113394452194623171159248703007769
Found prime factor of 33 digits: 113394452194623171159248703007769
Prime cofactor 211933039903502565641866368286865327536901796472389287013554318809491199058543322262882151234003968963263750597135725449513489772101626669718318281379635656572861 has 162 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 DomanovNovember 17, 2022 21:59:54 UTC 2022 年 11 月 18 日 (金) 6 時 59 分 54 秒 (日本時間)

7×10219-6

c197

composite cofactor 合成数の残り
13918391376541907646115189194454957833892632755841082588927982500124869727344170888453822118948418095349985667949483024822437551964551166569803379846312095189234698956438995387188250528530345783057<197>

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 DomanovNovember 17, 2022 22:00:00 UTC 2022 年 11 月 18 日 (金) 7 時 0 分 0 秒 (日本時間)

7×10221-6

c200

composite cofactor 合成数の残り
48035527888345462194178150178806939888063509816569312721526212291451851331656689484471528813431150606018311108601908796449732924830020889291372820201213810560096332400863810381843304993033757209888611<200>

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 DomanovNovember 17, 2022 22:00:07 UTC 2022 年 11 月 18 日 (金) 7 時 0 分 7 秒 (日本時間)

7×10222-6

c168

name 名前Dmitry Domanov
date 日付November 17, 2022 23:36:06 UTC 2022 年 11 月 18 日 (金) 8 時 36 分 6 秒 (日本時間)
composite number 合成数
668851978351351378585346675780223738813688294923411308615950285584398676494524487120297638948434479209092779334735405495444221075636462392569601863669571104126554744747<168>
prime factors 素因数
1406533752776665300828353915496503841<37>
composite cofactor 合成数の残り
475532120740762771952789257426018751989481269839248655500740763165136128872203401963437028836749480442498728022713843676202897211467<132>
factorization results 素因数分解の結果
GPU: factor 1406533752776665300828353915496503841 found in Step 1 with curve 831 (-sigma 3:-1398366592)
Computing 1792 Step 1 took 160ms of CPU time / 178303ms of GPU time
Throughput: 10.050 curves per second (on average 99.50ms per Step 1)
********** Factor found in step 1: 1406533752776665300828353915496503841
Found prime factor of 37 digits: 1406533752776665300828353915496503841
Composite cofactor 475532120740762771952789257426018751989481269839248655500740763165136128872203401963437028836749480442498728022713843676202897211467 has 132 digits
Peak memory usage: 9428MB

c132

name 名前Eric Jeancolas
date 日付November 19, 2022 11:01:10 UTC 2022 年 11 月 19 日 (土) 20 時 1 分 10 秒 (日本時間)
composite number 合成数
475532120740762771952789257426018751989481269839248655500740763165136128872203401963437028836749480442498728022713843676202897211467<132>
prime factors 素因数
1402823502033962549127166825433440663283331222975165678306731<61>
338982145687811604810591869987886260003624090935429859877503819103653857<72>
factorization results 素因数分解の結果
475532120740762771952789257426018751989481269839248655500740763165136128872203401963437028836749480442498728022713843676202897211467=1402823502033962549127166825433440663283331222975165678306731*338982145687811604810591869987886260003624090935429859877503819103653857

cado polynomial
n: 475532120740762771952789257426018751989481269839248655500740763165136128872203401963437028836749480442498728022713843676202897211467
skew: 436564.352
c0: 241498583271814162646481656518704
c1: -945442237782216655623464840
c2: -11260627020653553157515
c3: 6919254041211095
c4: 18517607376
c5: 15120
Y0: -50366457475651423405551350
Y1: 6513207394133457971
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.233e-07
# f(x) = 15120*x^5+18517607376*x^4+6919254041211095*x^3-11260627020653553157515*x^2-945442237782216655623464840*x+241498583271814162646481656518704
# g(x) = 6513207394133457971*x-50366457475651423405551350

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

cado log (extracts)
Info:Square Root: Factors: 1402823502033962549127166825433440663283331222975165678306731 338982145687811604810591869987886260003624090935429859877503819103653857
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1898.91/564.836
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 39.03/10.7427
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24566646
Info:Lattice Sieving: Average J: 8191.85 for 63800 special-q, max bucket fill -bkmult 1.0,1s:1.069090
Info:Lattice Sieving: Total time: 94082.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 400.77/400.375
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 347.2999999999999s
Info:Linear Algebra: Total cpu/real time for bwc: 47519.9/12222.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30347.3, WCT time 7754.51, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53760 iterations)
Info:Linear Algebra: Lingen CPU time 339.94, WCT time 86.27
Info:Linear Algebra: Mksol: CPU time 16501.45,  WCT time 4257.25, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6215.75
Info:Polynomial Selection (root optimized): Rootsieve time: 6213.12
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38683/38.680/47.059/50.940/0.840
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30564/38.090/42.321/47.880/1.084
Info:Polynomial Selection (size optimized): Total time: 4933.91
Info:Square Root: Total cpu/real time for sqrt: 1898.91/564.836
Info:Generate Free Relations: Total cpu/real time for freerel: 254.15/64.5668
Info:Quadratic Characters: Total cpu/real time for characters: 66.3/28.526
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.08/106.708
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 265.11/251.731
Info:Filtering - Merging: Merged matrix has 1716849 rows and total weight 294636402 (171.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 425.05/118.486
Info:Filtering - Merging: Total cpu/real time for replay: 66.18/59.825
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 238916/64230.3
Info:root: Cleaning up computation data in /tmp/cado.rx4wjern
1402823502033962549127166825433440663283331222975165678306731 338982145687811604810591869987886260003624090935429859877503819103653857
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)
403e641421792Dmitry DomanovNovember 17, 2022 22:00:15 UTC 2022 年 11 月 18 日 (金) 7 時 0 分 15 秒 (日本時間)
2350Ignacio SantosNovember 18, 2022 15:54:34 UTC 2022 年 11 月 19 日 (土) 0 時 54 分 34 秒 (日本時間)

7×10223-6

c137

name 名前Ignacio Santos
date 日付November 10, 2022 16:30:26 UTC 2022 年 11 月 11 日 (金) 1 時 30 分 26 秒 (日本時間)
composite number 合成数
98501065775134256403218647561959710239846866706910009983599296768067755234258939353700446206687378412565965390190204624517103493741137513<137>
prime factors 素因数
17964233292624260486304645635156341332999375229<47>
5483176719575153791526609756306160162562591538113874633687262937327827559360027626280520797<91>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2455214619
Step 1 took 21062ms
Step 2 took 9000ms
********** Factor found in step 2: 17964233292624260486304645635156341332999375229
Found prime factor of 47 digits: 17964233292624260486304645635156341332999375229
Prime cofactor 5483176719575153791526609756306160162562591538113874633687262937327827559360027626280520797 has 91 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)
403e62350Ignacio SantosNovember 8, 2022 10:26:18 UTC 2022 年 11 月 8 日 (火) 19 時 26 分 18 秒 (日本時間)

7×10225-6

c151

composite cofactor 合成数の残り
1895535543192939877056715702651356071331721707448354503163950067042625911564412187868460351999673515658385614590779608263759440565951379023596528785377<151>

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 12:05:28 UTC 2022 年 11 月 9 日 (水) 21 時 5 分 28 秒 (日本時間)
4511e64480Ignacio SantosNovember 13, 2022 08:58:00 UTC 2022 年 11 月 13 日 (日) 17 時 58 分 0 秒 (日本時間)
5043e66454Ignacio SantosJanuary 4, 2024 07:12:34 UTC 2024 年 1 月 4 日 (木) 16 時 12 分 34 秒 (日本時間)

7×10227-6

c169

composite cofactor 合成数の残り
6522738143148852438260226070636766748832936022087683335429612526310889348885194140091566602369083950355969617988735577001674661562877603884268988445658874366366627427141<169>

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 DomanovNovember 17, 2022 22:00:25 UTC 2022 年 11 月 18 日 (金) 7 時 0 分 25 秒 (日本時間)

7×10228-6

c178

composite cofactor 合成数の残り
2750857755599855116254032991251342286438373335606172171723648168030624332572953084467311638697496185228661162481034851895955621894652464759197519074685251872171386258370811933313<178>

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 DomanovNovember 17, 2022 22:00:33 UTC 2022 年 11 月 18 日 (金) 7 時 0 分 33 秒 (日本時間)

7×10229-6

c200

composite cofactor 合成数の残り
23922439337798166633148300754825688089049455553623823499914023006308661437502290276332630647156541004948851016502558973393493489408835693323973723017906555027769284365166930756542543224566152341844517<200>

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 DomanovNovember 17, 2022 22:00:40 UTC 2022 年 11 月 18 日 (金) 7 時 0 分 40 秒 (日本時間)

7×10230-6

c205

composite cofactor 合成数の残り
1792688267168745443957475428420415702776857960503383397197807310458405610103939405555030041320088432948037179255989031467745143863856077408386587772853877955443873611011643955634535060336424074130185818023<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)
403e61792 / 2078Dmitry DomanovNovember 17, 2022 22:00:46 UTC 2022 年 11 月 18 日 (金) 7 時 0 分 46 秒 (日本時間)

7×10232-6

c218

composite cofactor 合成数の残り
67553464665840944710706629433210214932285131012303883381303167587621145569647242426527571211892459340545200790384744651787893042957364637234705661742571181845029236030067435822176406953968929977920116951907830872450041<218>

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 DomanovNovember 17, 2022 22:01:33 UTC 2022 年 11 月 18 日 (金) 7 時 1 分 33 秒 (日本時間)

7×10233-6

c223

composite cofactor 合成数の残り
3379373206124080415633520413574081718787898926742846464016845597810749446109113713948166164065686976814769108297275794322883604759497177487977827656174309391828192671298677616907804563472461623608580782907281209541449092667<223>

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 DomanovNovember 17, 2022 22:03:20 UTC 2022 年 11 月 18 日 (金) 7 時 3 分 20 秒 (日本時間)

7×10235-6

c181

composite cofactor 合成数の残り
2625003336824888966264703075776221445064743096902236341040049997309843635749192695351301923193838361352809801225835390464978514407433103440992038812746347911013661337388520705675651<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)
403e61792 / 2078Dmitry DomanovNovember 17, 2022 22:01:42 UTC 2022 年 11 月 18 日 (金) 7 時 1 分 42 秒 (日本時間)

7×10237-6

c225

composite cofactor 合成数の残り
248551112666311479308290050600320524487417127439320361796217463257910822747339581662643194411346838205874746382860776066890655397709529060194100826983504994178356215070563842569372654669325575346209284218271507047320695033951<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 DomanovNovember 17, 2022 22:03:28 UTC 2022 年 11 月 18 日 (金) 7 時 3 分 28 秒 (日本時間)

7×10238-6

c109

name 名前Ignacio Santos
date 日付November 8, 2022 08:50:35 UTC 2022 年 11 月 8 日 (火) 17 時 50 分 35 秒 (日本時間)
composite number 合成数
1472352670772864593773646641981354473786927251185253961918017061887378793912241794100783086904574778009055371<109>
prime factors 素因数
20948454438942004937660220526861774199<38>
70284548918121775263903343578906780349559029900392974061632763571276429<71>
factorization results 素因数分解の結果
Number: 1
N=1472352670772864593773646641981354473786927251185253961918017061887378793912241794100783086904574778009055371
  ( 109 digits)
Divisors found:
 r1=20948454438942004937660220526861774199 (pp38)
 r2=70284548918121775263903343578906780349559029900392974061632763571276429 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.44 hours.
Scaled time: 57.88 units (timescale=7.776).
Factorization parameters were as follows:
name: 1
n: 1472352670772864593773646641981354473786927251185253961918017061887378793912241794100783086904574778009055371
skew: 30443.45
# norm 8.83e+014
c5: 5940
c4: -1651516251
c3: -20882929422697
c2: 1394969100916996534
c1: 18001000278123373841515
c0: 1983413302131503009191475
# alpha -6.28
Y1: 491896915399
Y0: -756590324536463584098
# Murphy_E 1.29e-009
# M 151724303136765698484724796389512771887687570682109838560143533797096153595687275965699140581967992791195058
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 346351 x 346580
Total sieving time: 7.36 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 7.44 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)

7×10239-6

c211

composite cofactor 合成数の残り
3075922079875561938451259832123543585845798864147790488242277359091920373945715939848383697891574556881216393442853339070412934790737091832537638356766282336742144610373058305767260845621895744868161563539508443<211>

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 DomanovNovember 17, 2022 22:01:49 UTC 2022 年 11 月 18 日 (金) 7 時 1 分 49 秒 (日本時間)

7×10243-6

c209

composite cofactor 合成数の残り
10845153012503635982723519630486820472589769491257658638175482801528103596810924182021620754346199365253840424751502576676587321844844049493936791437509357976280787579648750432552953840459562126193581449770723<209>

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 DomanovNovember 17, 2022 22:01:56 UTC 2022 年 11 月 18 日 (金) 7 時 1 分 56 秒 (日本時間)

7×10245-6

c181

composite cofactor 合成数の残り
4477329989930172775242671337157873906697995496809440551476503436225384996310178215234113388765178957145117172495641372594363078517062625650707722844007727348811340619082763320005819<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)
403e61792 / 2078Dmitry DomanovNovember 17, 2022 22:02:04 UTC 2022 年 11 月 18 日 (金) 7 時 2 分 4 秒 (日本時間)

7×10247-6

c222

composite cofactor 合成数の残り
154529739695468495765906619965717496480024606456003102285974891710708327845343366615930159529998076267576578189077662790199672932287211144075260648866619010458098554913374315336247966446903968415481362837101195558645952733<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 DomanovNovember 17, 2022 22:03:35 UTC 2022 年 11 月 18 日 (金) 7 時 3 分 35 秒 (日本時間)

7×10248-6

c225

composite cofactor 合成数の残り
169966250003575204289456243509168552678153806417292038258665606907767938899203990826110664914092436602993939987206317488617118294865966965755508050574710995559663300775046225343380295075443831378616155340808839106436868153313<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 DomanovNovember 17, 2022 22:03:42 UTC 2022 年 11 月 18 日 (金) 7 時 3 分 42 秒 (日本時間)

7×10249-6

c231

name 名前Dmitry Domanov
date 日付November 17, 2022 23:37:32 UTC 2022 年 11 月 18 日 (金) 8 時 37 分 32 秒 (日本時間)
composite number 合成数
707246842914106820359725368270662717352270817134378160465615281645539851221491438226769836411836649716672895508729993623052184201844076737256031628716760124096690395932761473560842706980632334509777662614042531707795051060878340039<231>
prime factors 素因数
689182958235990982700365437670939<33>
composite cofactor 合成数の残り
1026210579443739491392481371151530948611846657316496944269304076883871663532130064081027218487383001898860624367382012573629192071930159598981834826484221571049747990694561520954970907289671826216901<199>
factorization results 素因数分解の結果
GPU: factor 689182958235990982700365437670939 found in Step 1 with curve 1613 (-sigma 3:1994931357)
Computing 1792 Step 1 took 263ms of CPU time / 267726ms of GPU time
Throughput: 6.693 curves per second (on average 149.40ms per Step 1)
********** Factor found in step 1: 689182958235990982700365437670939
Found prime factor of 33 digits: 689182958235990982700365437670939
Composite cofactor 1026210579443739491392481371151530948611846657316496944269304076883871663532130064081027218487383001898860624367382012573629192071930159598981834826484221571049747990694561520954970907289671826216901 has 199 digits
Peak memory usage: 9428MB

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 DomanovNovember 17, 2022 22:04:32 UTC 2022 年 11 月 18 日 (金) 7 時 4 分 32 秒 (日本時間)

7×10253-6

c246

composite cofactor 合成数の残り
119767130676811001948238227047607218863197155014621188422615183805126915363432896079850374855207099628516922012527580274270082729556145169520090609377864198849654503822930881064604138887179735891508143947594228920203948093349882504509600326169013<246>

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)

7×10254-6

c187

name 名前Dmitry Domanov
date 日付November 18, 2022 23:04:52 UTC 2022 年 11 月 19 日 (土) 8 時 4 分 52 秒 (日本時間)
composite number 合成数
8634418034417198863974705036800969374366626746172920857383019451257667800541043160165277178873288765986308394862999536850141382749750497998897077230745404133625430925167678348756128571357<187>
prime factors 素因数
55559295453136919710406840223322042031947<41>
composite cofactor 合成数の残り
155409062767906159828781745122019712421327981121766996924779682733365987864838950863956483820856669933365348670776708546500795462913420971296423031<147>
factorization results 素因数分解の結果
Resuming ECM residue saved by @274563833fb1 with GMP-ECM 7.0.5-dev on Thu Nov 17 22:21:03 2022 
Input number is 8634418034417198863974705036800969374366626746172920857383019451257667800541043160165277178873288765986308394862999536850141382749750497998897077230745404133625430925167678348756128571357 (187 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:861433513
Step 1 took 0ms
Step 2 took 3697ms
********** Factor found in step 2: 55559295453136919710406840223322042031947
Found prime factor of 41 digits: 55559295453136919710406840223322042031947
Composite cofactor 155409062767906159828781745122019712421327981121766996924779682733365987864838950863956483820856669933365348670776708546500795462913420971296423031 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)
403e641421792Dmitry DomanovNovember 17, 2022 22:02:12 UTC 2022 年 11 月 18 日 (金) 7 時 2 分 12 秒 (日本時間)
2350Ignacio SantosNovember 21, 2022 15:26:54 UTC 2022 年 11 月 22 日 (火) 0 時 26 分 54 秒 (日本時間)
4511e64480Ignacio SantosNovember 21, 2022 16:16:27 UTC 2022 年 11 月 22 日 (火) 1 時 16 分 27 秒 (日本時間)
5043e66454Ignacio SantosNovember 25, 2022 14:15:51 UTC 2022 年 11 月 25 日 (金) 23 時 15 分 51 秒 (日本時間)

7×10256-6

c248

composite cofactor 合成数の残り
21134861777028755324228709834276844789939156531180522142303573812918112895317014560269433594623287299263445417400956930624458131959288418164766608273921943625849145833564923613365072831406979951987620497463089245584822757212896720429767583505887453<248>

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)

7×10257-6

c238

composite cofactor 合成数の残り
3060472629012372835955109210560031172865841768594630256215369784017538337451879976917124332169562949490389871785363667721369611492143145826464406137575563763676648972603494154193143025175195527688317539119011046651492911989029798973682557<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 DomanovNovember 19, 2022 08:53:07 UTC 2022 年 11 月 19 日 (土) 17 時 53 分 7 秒 (日本時間)

7×10258-6

c241

composite cofactor 合成数の残り
2243225005027625056041364885379843267384557546593180288885764723285877079400122248625996679817631574472375759250240551051999850514753898197115788797119669616496572440316969048528808249771929589305351533973368294294909293837659481325945490121<241>

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)

7×10259-6

c248

composite cofactor 合成数の残り
45182087082778615584744092768480600883788104431297260004821199964983323285700165501929862071827897006598423151263490982748310354457215002849589869955915865297679367172414673859105135675953001922928348061875438146117635744217148878468368043858783727<248>

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)

7×10260-6

c214

composite cofactor 合成数の残り
1463078473946156060332536288077595074754895136483233096051940744277004968388747553880427581809243468964862928046278065486564589277478225356664231563696120612119553963521229287477301622823663535602285596374380700853<214>

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 DomanovNovember 17, 2022 22:02:19 UTC 2022 年 11 月 18 日 (金) 7 時 2 分 19 秒 (日本時間)

7×10261-6

c245

composite cofactor 合成数の残り
20791771218251118701680522316619875210083064832868079022600361855369555007341238004366672588694023099342204933230391060507017348230477874506547382163506881947588841203759315621194310308191479273176186293877780088530202174356553884157266597980011<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)

7×10263-6

c236

name 名前Dmitry Domanov
date 日付November 19, 2022 22:52:08 UTC 2022 年 11 月 20 日 (日) 7 時 52 分 8 秒 (日本時間)
composite number 合成数
31599687785285292677294228592592925148847426005419171848284468127945438399385185280280329299685077318270279250509253110762288538747050271997722260053569148795115875895123688515795071192492305504324557771378554375940450772180930572189427<236>
prime factors 素因数
981664289877590030396490029927638151<36>
32189912693295239364997313488170560518163930891114970050322349772834188193904060628903907014594297528189088114316391840312955253069199779545494172847250328548557524931986298970108166929914900198381877<200>
factorization results 素因数分解の結果
Resuming ECM residue saved by @9ecb184a4f53 with GMP-ECM 7.0.5-dev on Sat Nov 19 08:59:29 2022 
Input number is 31599687785285292677294228592592925148847426005419171848284468127945438399385185280280329299685077318270279250509253110762288538747050271997722260053569148795115875895123688515795071192492305504324557771378554375940450772180930572189427 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1597951521
Step 1 took 0ms
Step 2 took 5928ms
********** Factor found in step 2: 981664289877590030396490029927638151
Found prime factor of 36 digits: 981664289877590030396490029927638151
Prime cofactor 32189912693295239364997313488170560518163930891114970050322349772834188193904060628903907014594297528189088114316391840312955253069199779545494172847250328548557524931986298970108166929914900198381877 has 200 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 DomanovNovember 19, 2022 08:53:52 UTC 2022 年 11 月 19 日 (土) 17 時 53 分 52 秒 (日本時間)

7×10264-6

c231

composite cofactor 合成数の残り
137340264515412898769530277700512462191728635294295856284695861586786945358650300239016328163638782253129163106127100355936858507252622188414282917075944929406693216143118953622095193320718046397502704490479043675997710191674459153<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 DomanovNovember 17, 2022 22:04:42 UTC 2022 年 11 月 18 日 (金) 7 時 4 分 42 秒 (日本時間)

7×10265-6

c242

composite cofactor 合成数の残り
91868108471391716901106638659353861038750598758853128068278415122167232101555650240953844319331488586595143363327448366520340180088752645248033282748774701777947296013996986723735459208381825435111577199895218877852578524280992042392866569073<242>

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)

7×10267-6

c266

composite cofactor 合成数の残り
20710059171597633136094674556213017751479289940828402366863905325443786982248520710059171597633136094674556213017751479289940828402366863905325443786982248520710059171597633136094674556213017751479289940828402366863905325443786982248520710059171597633136094674556213<266>

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)

7×10268-6

c248

composite cofactor 合成数の残り
10495840246014474954189637086252067427546789260783317050908830332636244264393243498956601155390631874404053733993245641485069460994808651606977623498528303307963646032008776568886081649001030019579385446303632453139672583052312430305052421715570463<248>

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)

7×10270-6

c263

composite cofactor 合成数の残り
74211507503514922036464693546654240974560782903415822109673285534478804207504110734425278627635004143228463921238097295823840709706273609728509497705348383059531389951638904954502302963305780862281316445140722722972025845026822901255631142685256889600226213637501<263>

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)

7×10271-6

c238

composite cofactor 合成数の残り
2055755065794991387012156948339288521667540939927835562245296911799221616726861725269875595573236054343466212678969526122065711894894834098921854025292712487800394816851586446703092861875443488986844915274028565536952580186052027482767639<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 DomanovNovember 19, 2022 09:05:51 UTC 2022 年 11 月 19 日 (土) 18 時 5 分 51 秒 (日本時間)

7×10274-6

c236

composite cofactor 合成数の残り
41111832794482903008489744735424434219236705736081282395109595324898363089294240320761633703073371481261607421683759059009076928366023852405255300540720545461595817418897610930438439338065365316923944944236156176429461805053674881442849<236>

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)

7×10275-6

c234

name 名前Seth Troisi
date 日付January 2, 2024 18:54:29 UTC 2024 年 1 月 3 日 (水) 3 時 54 分 29 秒 (日本時間)
composite number 合成数
237456781390836858354410776644336534821766741004216734010923934979231077340277521539365526964906681519766042098464888508829513041083653651683922686617102129209881181041742959586190764521399900107702777031077775412000083397837009598027<234>
prime factors 素因数
850351135326050148821427820675652246449<39>
279245562834215304521927289517690456172965641615133081433195192209568664427254397644892824282578260052354598306903757057747740759363146405017805041115356715183627506704946241883732458747985755323<195>
factorization results 素因数分解の結果
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 16 02:50:40 2023
Input number is 237456781390836858354410776644336534821766741004216734010923934979231077340277521539365526964906681519766042098464888508829513041083653651683922686617102129209881181041742959586190764521399900107702777031077775412000083397837009598027 (234 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 11136MB of memory
Using B1=4000000000-4000000000, B2=8344907294582686, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20 25      30      35      40      45      50      55      60      65
0.81    0.53    0.28    0.12    0.045   0.015   0.0045  0.0012  0.00031 7.3e-05
Step 1 took 0ms
Computing F from factored S_1 took 202657ms
Computing h took 25945ms
Computing DCT-I of h took 60430ms
Multi-point evaluation 1 of 5:
Computing g_i took 87206ms
Computing g*h took 129825ms
Computing gcd of coefficients and N took 29074ms
Step 2 took 536621ms
********** Factor found in step 2: 850351135326050148821427820675652246449
Found prime factor of 39 digits: 850351135326050148821427820675652246449
Prime cofactor 279245562834215304521927289517690456172965641615133081433195192209568664427254397644892824282578260052354598306903757057747740759363146405017805041115356715183627506704946241883732458747985755323 has 195 digits
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

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)

7×10276-6

c251

composite cofactor 合成数の残り
34949490693374963728138680879368280399632242137747318351695652612883917922860938065244660950597921605340052106037072996914941073188369318264179858519936195827681427215316138217477493051006944362205489302343244479319424928851192415053186632292526929049<251>

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)

7×10278-6

c257

composite cofactor 合成数の残り
17103602982899228646618636872988721737676485834972370465193787774425287772206208203199365025552916570082504462166389119307806551110286538997498744730367436415844888183933858797351065344662196343536875371865833493468532680328259754200945342502299748388203713<257>

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)

7×10279-6

c246

composite cofactor 合成数の残り
417227885822136214527503678539701964942053536325877412057930517109689886092224968135711902364681196060663998005367284531632859311299210954779713797411324134930884332232175166717297468772110209222632246273458955485939672968455483446451112550363187<246>

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)

7×10280-6

c268

composite cofactor 合成数の残り
2844794030668572366941403862058031780167605278476355461736883848520923987950879252381773528956145579456235217716004262721663578240977063244716765913762249036000819095326042972023428203302903571683824810264846397373903200673378785260221557747438944759512818950737543587<268>

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)

7×10282-6

c231

composite cofactor 合成数の残り
664550036803264075255664376378041521233669327644559846351048197043026327791855690309831867127567012780011701693068488150170181059013973572920830923513257052057381667605269284427119103287707098350365286319052627179968692070227660457<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 DomanovNovember 17, 2022 22:05:06 UTC 2022 年 11 月 18 日 (金) 7 時 5 分 6 秒 (日本時間)

7×10283-6

c279

composite cofactor 合成数の残り
412429445105640856439202007942212742891483921143490095801468248824576081448923559148274277364693682759270824741053226965815490849958167870567856427418309510623004136078149487998303147425851077619221568881609181857817894724438212177273959204836029836324428785218528687413831705219<279>

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)

7×10284-6

c233

composite cofactor 合成数の残り
46680532211341795770514203991169659740237459801613470719518103699788550870934756773076418915697700841346964343476240454272087851699060742110849523806070320145696548624388226185077946099094402287293329230643269645657381558837259086847<233>

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)

7×10286-6

c256

composite cofactor 合成数の残り
3905877028673777609005836897499888830545891520556334406182682007107966345746732665444270476371764703817710432060425504240466982961504765744894726385290871121680103150299628038337325175824808466529113534285665501865786071991766248102611388561266125351917083<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)

7×10287-6

c203

composite cofactor 合成数の残り
38117708433471387846500953502045697025959595736758680194710089227065161025373211182083539848294282012971878408087473773424119940814140357718865065649530416022585866238176979763380938158260142449058025467<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)
403e61792 / 2078Dmitry DomanovNovember 17, 2022 22:02:28 UTC 2022 年 11 月 18 日 (金) 7 時 2 分 28 秒 (日本時間)

7×10288-6

c253

composite cofactor 合成数の残り
1582444230224632068737895088536218330484360575102670271171259912910608066262235989838869713686068404593007106678445790241318305689301643228113081469251991305978552812932889902273846906385652999084294958258131663062574565760104382262026431734375365964351<253>

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)

7×10289-6

c246

composite cofactor 合成数の残り
115961362763101746685053467296127886375021997888174083136583836957433881617161601068477778405250763101550705287002020343961985369814603267129744187300682388479980891511372150192052965296269163496565985935775251199654476922994879050527101377334117<246>

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)

7×10290-6

c248

composite cofactor 合成数の残り
17634495487661402834012179711503186546187218323205674855174298630829016919115963650305682086125642996401238820929569930213350926309712800822787846282962056339036105992746802584669669796589071187155408037456886548083678215231800904248771236147126887<248>

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)

7×10291-6

c291

composite cofactor 合成数の残り
269230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769<291>

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)

7×10293-6

c236

name 名前Seth Troisi
date 日付November 17, 2023 14:16:10 UTC 2023 年 11 月 17 日 (金) 23 時 16 分 10 秒 (日本時間)
composite number 合成数
27489326326022000803963767113886804787677001776822585961994961101518704568844319679628841576608073831217894138527611536101022810789835498549442597275404005345991210549030641971521195723076445967603759998103220633562929836909073192484917<236>
prime factors 素因数
5390000837387760146750729265989953044866420267<46>
composite cofactor 合成数の残り
5100059750518439648002089775421998622434794209175519286385591534501126948574118446089013542960733448454069222382788474018868958704436609126768753675556055972681073562005934797894500874033951<190>
factorization results 素因数分解の結果
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 16 13:19:04 2023
Input number is                                                                                                                                                                                                                                        27489326326022000803963767113886804787677001776822585961994961101518704568844319679628841576608073831217894138527611536101022810789835498549442597275404005345991210549030641971521195723076445967603759998103220633562929836909073192484917 (236      digits)
Using mpz_mod   
Using lmax = 8388608 with NTT which takes about 2784MB of memory
Using B1=4000000000-4000000000, B2=205705378426380, polynomial x^1
P = 24249225, l = 8388608, s_1 = 4147200, k = s_2 = 2, m_1 = 79
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.71    0.43    0.21    0.087   0.032   0.01    0.003   0.00079 0.00019 4.5e-05
Step 1 took 0ms
Computing F from factored S_1 took 28729ms
Computing h took 4119ms
Computing DCT-I of h took 8525ms
Multi-point evaluation 1 of 2:
Computing g_i took 13943ms
Computing g*h took 16569ms
Computing gcd of coefficients and N took 3943ms
Step 2 took 76157ms
********** Factor found in step 2: 5390000837387760146750729265989953044866420267
Found prime factor of 46 digits: 5390000837387760146750729265989953044866420267
Composite cofactor 5100059750518439648002089775421998622434794209175519286385591534501126948574118446089013542960733448454069222382788474018868958704436609126768753675556055972681073562005934797894500874033951 has 190 digits
execution environment 実行環境
1080 ti for stage 1

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)
403e61500Dmitry DomanovApril 26, 2024 13:46:23 UTC 2024 年 4 月 26 日 (金) 22 時 46 分 23 秒 (日本時間)
4511e674801500Dmitry DomanovApril 26, 2024 13:46:23 UTC 2024 年 4 月 26 日 (金) 22 時 46 分 23 秒 (日本時間)
1500Dmitry DomanovApril 26, 2024 14:36:31 UTC 2024 年 4 月 26 日 (金) 23 時 36 分 31 秒 (日本時間)
4480Ignacio SantosApril 27, 2024 07:10:06 UTC 2024 年 4 月 27 日 (土) 16 時 10 分 6 秒 (日本時間)
5043e61792 / 5812Dmitry DomanovApril 30, 2024 07:36:14 UTC 2024 年 4 月 30 日 (火) 16 時 36 分 14 秒 (日本時間)

7×10294-6

c289

composite cofactor 合成数の残り
1619393486244177702062135665383335885805923556299139916985263056591324770289033976263392962486055865373804598429743538967002775640435422520581334500530467037708271352975496725817712740878997530656275404235315455537701099753250701081708580425789442757447706314200276407333909220502631977099<289>

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)

7×10295-6

c266

composite cofactor 合成数の残り
24274771020213256092915049350018095719985235554960725447458321981694176367181779617110893836853717695048088073479311380400116805689326048167171229670715049902082822652216282352892539622806584704019448564681079578598805893344160125499236941845818658474924547067765703<266>

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)

7×10296-6

c230

composite cofactor 合成数の残り
40301414117469982620250877403786595141071181346825221762230760993333795836007603329879686496978976900792294455454965799873426455687868120262094023009929378129649370888036710676314431804968698877045775867552387273725093595293819653<230>

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 DomanovNovember 17, 2022 22:03:49 UTC 2022 年 11 月 18 日 (金) 7 時 3 分 49 秒 (日本時間)

7×10297-6

c283

composite cofactor 合成数の残り
1311691048251668134222782534921205451042909796960322673388038676711225380704818870434282268867767916601495993709408131286754152723201773807192117039130775642044402416013216793323303251048253612458405804698256626106388744735013263597620092031341162985139030423170401483062956855969639<283>

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)

7×10299-6

c263

composite cofactor 合成数の残り
29528709724220236472648615628794397268348789972963755916635543829095908045806293272760826069612488174085361855660743057120949069756494636387970337258839318241318659319159247764434251133322881741602888540754794837893438577949180020314332112584171894923243900984441<263>

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)

7×10300-6

c281

composite cofactor 合成数の残り
26239206295587221191957246440344386164330878234143284274237307286373784672098975941331717157971603172357613242196106973166089714463924972299850812020702247112217038470128520483803361483375508101765818991764283870001795822287171673542239751997223703788561853209798483727115395292851<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)
403e61792Dmitry DomanovNovember 13, 2022 22:35:43 UTC 2022 年 11 月 14 日 (月) 7 時 35 分 43 秒 (日本時間)
4511e63584Dmitry DomanovNovember 13, 2022 22:35:43 UTC 2022 年 11 月 14 日 (月) 7 時 35 分 43 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovNovember 13, 2022 22:35:43 UTC 2022 年 11 月 14 日 (月) 7 時 35 分 43 秒 (日本時間)