Table of contents 目次

17×1098-143

c99

name 名前Dmitry Domanov
date 日付September 9, 2022 21:57:12 UTC 2022 年 9 月 10 日 (土) 6 時 57 分 12 秒 (日本時間)
composite number 合成数
283333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<99>
prime factors 素因数
36788759095183827933872510048789846256113<41>
7701627896724184384714529912981516545601552877428656115587<58>
factorization results 素因数分解の結果
N=283333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 99 digits)
SNFS difficulty: 98 digits.
Divisors found:
 r1=36788759095183827933872510048789846256113 (pp41)
 r2=7701627896724184384714529912981516545601552877428656115587 (pp58)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.16 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 283333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 1000000000000000000000000
deg: 4
c4: 850
c0: -7
skew: 0.30
# Murphy_E = 3.209e-07
type: snfs
lss: 1
rlim: 310000
alim: 310000
lpbr: 24
lpba: 24
mfbr: 43
mfba: 43
rlambda: 2.1
alambda: 2.1
Factor base limits: 310000/310000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 43/43
Sieved rational special-q in [155000, 255001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 26363 x 26588
Total sieving time: 0.16 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,98.0000,4,0,0,0,0,0,0,0,0,310000,310000,24,24,43,43,2.1,2.1,10000
total time: 0.16 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10104-143

c103

name 名前Dmitry Domanov
date 日付September 9, 2022 23:06:40 UTC 2022 年 9 月 10 日 (土) 8 時 6 分 40 秒 (日本時間)
composite number 合成数
6910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691<103>
prime factors 素因数
11594669594856052391934012527906087106644560486423<50>
596012594335324093200335762445173047755814435443375517<54>
factorization results 素因数分解の結果
N=6910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691
  ( 103 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=11594669594856052391934012527906087106644560486423 (pp50)
 r2=596012594335324093200335762445173047755814435443375517 (pp54)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.24 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691
m: 100000000000000000000000000
deg: 4
c4: 17
c0: -14
skew: 0.95
# Murphy_E = 2.291e-07
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 29304 x 29529
Total sieving time: 0.23 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.24 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10105-143

c76

name 名前Dmitry Domanov
date 日付September 9, 2022 22:12:44 UTC 2022 年 9 月 10 日 (土) 7 時 12 分 44 秒 (日本時間)
composite number 合成数
2541007081893012269699123853145256169020266299934217343778216429980680958329<76>
prime factors 素因数
3104181733096567641002500873506938599<37>
818575489572976095368509888886336602271<39>
factorization results 素因数分解の結果
P37 = 3104181733096567641002500873506938599
P39 = 818575489572976095368509888886336602271

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10112-143

c111

name 名前Dmitry Domanov
date 日付September 9, 2022 23:51:08 UTC 2022 年 9 月 10 日 (土) 8 時 51 分 8 秒 (日本時間)
composite number 合成数
399061032863849765258215962441314553990610328638497652582159624413145539906103286384976525821596244131455399061<111>
prime factors 素因数
35861200579459483434069615455757296222663<41>
11127932874964126405209588309335993175307474179967911728397135260145347<71>
factorization results 素因数分解の結果
N=399061032863849765258215962441314553990610328638497652582159624413145539906103286384976525821596244131455399061
  ( 111 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=35861200579459483434069615455757296222663 (pp41)
 r2=11127932874964126405209588309335993175307474179967911728397135260145347 (pp71)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 399061032863849765258215962441314553990610328638497652582159624413145539906103286384976525821596244131455399061
m: 10000000000000000000000000000
deg: 4
c4: 17
c0: -14
skew: 0.95
# Murphy_E = 9.861e-08
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [270000, 530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 46376 x 46601
Total sieving time: 0.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,540000,540000,25,25,45,45,2.2,2.2,20000
total time: 0.36 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10118-143

c117

name 名前Ignacio Santos
date 日付September 10, 2022 09:53:59 UTC 2022 年 9 月 10 日 (土) 18 時 53 分 59 秒 (日本時間)
composite number 合成数
602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773<117>
prime factors 素因数
799088378356737307993855104708673531440911609662618548593<57>
754405765069829900228033974450831921268714274160304630033261<60>
factorization results 素因数分解の結果
Number: 1
N=602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773
  ( 117 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=799088378356737307993855104708673531440911609662618548593 (pp57)
 r2=754405765069829900228033974450831921268714274160304630033261 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.84 hours.
Scaled time: 6.56 units (timescale=7.764).
Factorization parameters were as follows:
n: 602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773
m: 100000000000000000000000000000
deg: 4
c4: 850
c0: -7
skew: 0.30
# Murphy_E = 3.93e-08
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 585001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82080 x 82306
Total sieving time: 0.84 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.84 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10123-143

c124

name 名前Ignacio Santos
date 日付September 10, 2022 10:54:27 UTC 2022 年 9 月 10 日 (土) 19 時 54 分 27 秒 (日本時間)
composite number 合成数
2833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<124>
prime factors 素因数
721136974128230227947420237783969141879665205739400755543<57>
3928980810834862599014287830286876709860502419945026661263906863717<67>
factorization results 素因数分解の結果
Number: 1
N=2833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 124 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=721136974128230227947420237783969141879665205739400755543 (pp57)
 r2=3928980810834862599014287830286876709860502419945026661263906863717 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.28 hours.
Scaled time: 9.90 units (timescale=7.746).
Factorization parameters were as follows:
n: 2833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 5000000000000000000000000000000
deg: 4
c4: 68
c0: -35
skew: 0.85
# Murphy_E = 2.69e-08
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor 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 : 82992 x 83219
Total sieving time: 1.27 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,124.000,4,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,75000
total time: 1.28 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10124-143

c74

name 名前Eric Jeancolas
date 日付September 9, 2022 20:05:58 UTC 2022 年 9 月 10 日 (土) 5 時 5 分 58 秒 (日本時間)
composite number 合成数
11079258322342435245892063107090429128514320841166350387039542368987853861<74>
prime factors 素因数
1057710963295940817535599386100965111<37>
10474750387211907013976213382875501251<38>
factorization results 素因数分解の結果
11079258322342435245892063107090429128514320841166350387039542368987853861 = 1057710963295940817535599386100965111 * 10474750387211907013976213382875501251

Time elapsed: 0d 0h 1m 6.9s

Modular multiplications:

ECM: 10552042
Probable prime checking: 1208
SIQS: 66042
Sum of squares: 2522
SIQS:

220050 polynomials sieved
176264 sets of trial divisions
7865 smooth congruences found (1 out of every 1713843 values)
83161 partial congruences found (1 out of every 162087 values)
7825 useful partial congruences
Size of binary matrix: 14479 × 14055
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 1.6s
Factoring 1 number using SIQS: 0d 0h 1m 5.3s
software ソフトウェア
Dario Alpern's calculator
execution environment 実行環境
Windows 10 Business 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10128-143

c109

name 名前Ignacio Santos
date 日付September 10, 2022 10:59:39 UTC 2022 年 9 月 10 日 (土) 19 時 59 分 39 秒 (日本時間)
composite number 合成数
1298554687841165388483215874925910867334519712939326485856083488842094010882709886855370713612706319379098047<109>
prime factors 素因数
22622561677685039406519414222983809346817697911163<50>
57400868493246876941508408461196620154921065133344632310669<59>
factorization results 素因数分解の結果
Number: 1
N=1298554687841165388483215874925910867334519712939326485856083488842094010882709886855370713612706319379098047
  ( 109 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=22622561677685039406519414222983809346817697911163 (pp50)
 r2=57400868493246876941508408461196620154921065133344632310669 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.71 hours.
Scaled time: 13.38 units (timescale=7.800).
Factorization parameters were as follows:
n: 1298554687841165388483215874925910867334519712939326485856083488842094010882709886855370713612706319379098047
m: 100000000000000000000000000000000
deg: 4
c4: 17
c0: -14
skew: 0.95
# Murphy_E = 1.713e-08
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 129336 x 129564
Total sieving time: 1.70 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,100000
total time: 1.71 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10129-143

c116

name 名前Ignacio Santos
date 日付September 10, 2022 11:19:36 UTC 2022 年 9 月 10 日 (土) 20 時 19 分 36 秒 (日本時間)
composite number 合成数
43674424137424097567837260694862455298486257589614609259687059602315150437830219811434558624169913893537793842408391<116>
prime factors 素因数
289988970556435398565076631554806885545847117529<48>
150607190520456434890681025894097651508243135486371920924658328728479<69>
factorization results 素因数分解の結果
Number: 1
N=43674424137424097567837260694862455298486257589614609259687059602315150437830219811434558624169913893537793842408391
  ( 116 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=289988970556435398565076631554806885545847117529 (pp48)
 r2=150607190520456434890681025894097651508243135486371920924658328728479 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.72 hours.
Scaled time: 13.38 units (timescale=7.758).
Factorization parameters were as follows:
n: 43674424137424097567837260694862455298486257589614609259687059602315150437830219811434558624169913893537793842408391
m: 100000000000000000000000000000000
deg: 4
c4: 85
c0: -7
skew: 0.54
# Murphy_E = 1.605e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130238 x 130464
Total sieving time: 1.71 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 1.72 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10130-143

c92

name 名前Ignacio Santos
date 日付September 10, 2022 07:14:37 UTC 2022 年 9 月 10 日 (土) 16 時 14 分 37 秒 (日本時間)
composite number 合成数
12886671259520191290460246122315575243688983755731397026012737777544019530878873571972296437<92>
prime factors 素因数
1325159820054376312923824981874448673323<40>
9724616657175285085270274776954113192234070574177119<52>
factorization results 素因数分解の結果
prp40 = 1325159820054376312923824981874448673323
prp52 = 9724616657175285085270274776954113192234070574177119
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10136-143

c113

name 名前Ignacio Santos
date 日付September 11, 2022 09:30:54 UTC 2022 年 9 月 11 日 (日) 18 時 30 分 54 秒 (日本時間)
composite number 合成数
91865180489365319785904697653773671001013845179061294710861569316074395008125120467888262963066703364979732913337<113>
prime factors 素因数
560786526239833509135338460261503007548371<42>
163814885327820841738858674910508781145142464866559129414660163015786947<72>
factorization results 素因数分解の結果
Number: 1
N=91865180489365319785904697653773671001013845179061294710861569316074395008125120467888262963066703364979732913337
  ( 113 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=560786526239833509135338460261503007548371 (pp42)
 r2=163814885327820841738858674910508781145142464866559129414660163015786947 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.15 hours.
Scaled time: 24.46 units (timescale=7.764).
Factorization parameters were as follows:
n: 91865180489365319785904697653773671001013845179061294710861569316074395008125120467888262963066703364979732913337
m: 10000000000000000000000000000000000
deg: 4
c4: 17
c0: -14
skew: 0.95
# Murphy_E = 6.929e-09
type: snfs
lss: 1
rlim: 1360000
alim: 1360000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1360000/1360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [680000, 1480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 207201 x 207426
Total sieving time: 3.12 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1360000,1360000,26,26,48,48,2.3,2.3,100000
total time: 3.15 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10148-143

c126

name 名前Bob Backstrom
date 日付September 12, 2022 07:26:50 UTC 2022 年 9 月 12 日 (月) 16 時 26 分 50 秒 (日本時間)
composite number 合成数
139102280238452238486626760793057802689945681278081675855577084303400474831209872675308973156824442458453602390034540292414509<126>
prime factors 素因数
14927908678755718645932880600281046543<38>
7101425157905366930595440499003834421549<40>
1312168975571636716847979893527259695222944008687<49>
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 139102280238452238486626760793057802689945681278081675855577084303400474831209872675308973156824442458453602390034540292414509 (126 digits)
Using B1=16060000, B2=58558467250, polynomial Dickson(12), sigma=1:421391213
Step 1 took 24457ms
********** Factor found in step 1: 7101425157905366930595440499003834421549
Found prime factor of 40 digits: 7101425157905366930595440499003834421549
Composite cofactor 19587938638429836317552520241045134427813319519407411651386549423310975800124043319041 has 86 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 19587938638429836317552520241045134427813319519407411651386549423310975800124043319041 (86 digits)
Using B1=17390000, B2=58559766730, polynomial Dickson(12), sigma=1:721437535
Step 1 took 17739ms
Step 2 took 9144ms
********** Factor found in step 2: 14927908678755718645932880600281046543
Found prime factor of 38 digits: 14927908678755718645932880600281046543
Prime cofactor 1312168975571636716847979893527259695222944008687 has 49 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10150-143

c79

name 名前Eric Jeancolas
date 日付September 9, 2022 20:00:58 UTC 2022 年 9 月 10 日 (土) 5 時 0 分 58 秒 (日本時間)
composite number 合成数
1047695902974534989462007813240184028144623375527766558624406795167796236616119<79>
prime factors 素因数
149727934407481980713025887887390859<36>
6997330906357451856879295886744342483195141<43>
factorization results 素因数分解の結果
1047695902974534989462007813240184028144623375527766558624406795167796236616119=149727934407481980713025887887390859*6997330906357451856879295886744342483195141

Mon Sep 05 18:24:02 2022  Msieve v. 1.53 (SVN 1005)
Mon Sep 05 18:24:02 2022  random seeds: d32937a8 ced716f7
Mon Sep 05 18:24:02 2022  factoring 1047695902974534989462007813240184028144623375527766558624406795167796236616119 (79 digits)
Mon Sep 05 18:24:03 2022  searching for 15-digit factors
Mon Sep 05 18:24:03 2022  commencing quadratic sieve (79-digit input)
Mon Sep 05 18:24:03 2022  using multiplier of 19
Mon Sep 05 18:24:03 2022  using generic 32kb sieve core
Mon Sep 05 18:24:03 2022  sieve interval: 12 blocks of size 32768
Mon Sep 05 18:24:03 2022  processing polynomials in batches of 17
Mon Sep 05 18:24:03 2022  using a sieve bound of 1072919 (41882 primes)
Mon Sep 05 18:24:03 2022  using large prime bound of 107291900 (26 bits)
Mon Sep 05 18:24:03 2022  using trial factoring cutoff of 27 bits
Mon Sep 05 18:24:03 2022  polynomial 'A' values have 10 factors
Mon Sep 05 18:25:56 2022  42001 relations (22077 full + 19924 combined from 225023 partial), need 41978
Mon Sep 05 18:25:56 2022  begin with 247100 relations
Mon Sep 05 18:25:56 2022  reduce to 59451 relations in 2 passes
Mon Sep 05 18:25:56 2022  attempting to read 59451 relations
Mon Sep 05 18:25:56 2022  recovered 59451 relations
Mon Sep 05 18:25:56 2022  recovered 46593 polynomials
Mon Sep 05 18:25:56 2022  attempting to build 42001 cycles
Mon Sep 05 18:25:56 2022  found 42001 cycles in 1 passes
Mon Sep 05 18:25:56 2022  distribution of cycle lengths:
Mon Sep 05 18:25:56 2022     length 1 : 22077
Mon Sep 05 18:25:56 2022     length 2 : 19924
Mon Sep 05 18:25:56 2022  largest cycle: 2 relations
Mon Sep 05 18:25:56 2022  matrix is 41882 x 42001 (6.1 MB) with weight 1263872 (30.09/col)
Mon Sep 05 18:25:56 2022  sparse part has weight 1263872 (30.09/col)
Mon Sep 05 18:25:56 2022  filtering completed in 3 passes
Mon Sep 05 18:25:56 2022  matrix is 28700 x 28761 (4.6 MB) with weight 969823 (33.72/col)
Mon Sep 05 18:25:56 2022  sparse part has weight 969823 (33.72/col)
Mon Sep 05 18:25:56 2022  saving the first 48 matrix rows for later
Mon Sep 05 18:25:56 2022  matrix includes 64 packed rows
Mon Sep 05 18:25:56 2022  matrix is 28652 x 28761 (3.0 MB) with weight 704511 (24.50/col)
Mon Sep 05 18:25:56 2022  sparse part has weight 488733 (16.99/col)
Mon Sep 05 18:25:56 2022  commencing Lanczos iteration
Mon Sep 05 18:25:56 2022  memory use: 3.0 MB
Mon Sep 05 18:26:00 2022  lanczos halted after 455 iterations (dim = 28650)
Mon Sep 05 18:26:00 2022  recovered 17 nontrivial dependencies
Mon Sep 05 18:26:00 2022  p36 factor: 149727934407481980713025887887390859
Mon Sep 05 18:26:00 2022  p43 factor: 6997330906357451856879295886744342483195141
Mon Sep 05 18:26:00 2022  elapsed time 00:01:58
software ソフトウェア
msieve v1.53
execution environment 実行環境
Windows 10 Business 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10154-143

c111

name 名前Norman Powell
date 日付September 15, 2022 02:47:22 UTC 2022 年 9 月 15 日 (木) 11 時 47 分 22 秒 (日本時間)
composite number 合成数
801767728967845905124079361207441058786976824481329720157061712041084362990710320444213074338174475368777971967<111>
prime factors 素因数
114663693017497001327315142844391171472549823094219<51>
6992341759352726342763472717175114300618642446375294023838493<61>
factorization results 素因数分解の結果
Command line parameters: ./cado-nfs.py workdir=temp 8017....1967
n: 8017....1967
skew: 15047.191
c0: -27839748782859789875684640
c1: 9305404511753523203509
c2: 615927340919392972
c3: -3505007888993
c4: -1075769211
c5: 69120
Y0: -2034464436617605821981
Y1: 205772658245377
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.116e-06
Process with PID 502340 finished successfully
Square Root: finished
Square Root: Factors:

114663693017497001327315142844391171472549823094219 
6992341759352726342763472717175114300618642446375294023838493

Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 27499.3/4131.45, (1.15 hours).
software ソフトウェア
CADO-NFS v3.0.0
execution environment 実行環境
Ubuntu 20.04.4, Intel Xeon E5-1620, 16 GB RAM.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10157-143

c143

name 名前Bob Backstrom
date 日付September 12, 2022 10:49:05 UTC 2022 年 9 月 12 日 (月) 19 時 49 分 5 秒 (日本時間)
composite number 合成数
55875389397468559469596404231157936956866334509843944061518887811269778661187092941998568117118989349149065335093198608506508901155700153766911<143>
prime factors 素因数
110253782164945838306801530765338919146449171169135294810663143027279<69>
506788867468290973279126251666293935541464183222982633962160685057547126609<75>
factorization results 素因数分解の結果
Number: n
N=55875389397468559469596404231157936956866334509843944061518887811269778661187092941998568117118989349149065335093198608506508901155700153766911  ( 143 digits)
SNFS difficulty: 157 digits.
Divisors found:

Mon Sep 12 20:35:51 2022  p69 factor: 110253782164945838306801530765338919146449171169135294810663143027279
Mon Sep 12 20:35:51 2022  p75 factor: 506788867468290973279126251666293935541464183222982633962160685057547126609
Mon Sep 12 20:35:51 2022  elapsed time 00:06:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 17x10^157-14 = 56(156)2
#
n: 55875389397468559469596404231157936956866334509843944061518887811269778661187092941998568117118989349149065335093198608506508901155700153766911
m: 10000000000000000000000000000000
deg: 5
c5: 850
c0: -7
skew: 0.38
# Murphy_E = 6.859e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1330386 hash collisions in 14002354 relations (13568001 unique)
Msieve: matrix is 412265 x 412490 (137.8 MB)

Sieving start time : 2022/09/12 19:47:32
Sieving end time  : 2022/09/12 20:29:08

Total sieving time: 0hrs 41min 36secs.

Total relation processing time: 0hrs 2min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10160-143

c135

name 名前Bob Backstrom
date 日付September 15, 2022 05:25:41 UTC 2022 年 9 月 15 日 (木) 14 時 25 分 41 秒 (日本時間)
composite number 合成数
704379086999237725715446471481149511015488534541218516074866368332645672151594109832357775244394153474152398508878628799045269409276803<135>
prime factors 素因数
145914039089509054558220160561887565603792051899<48>
4827356513427372181665784481364589946415812159318879385565062577878382632940761442817497<88>
factorization results 素因数分解の結果
Number: n
N=704379086999237725715446471481149511015488534541218516074866368332645672151594109832357775244394153474152398508878628799045269409276803  ( 135 digits)
SNFS difficulty: 161 digits.
Divisors found:

Thu Sep 15 15:15:43 2022  p48 factor: 145914039089509054558220160561887565603792051899
Thu Sep 15 15:15:43 2022  p88 factor: 4827356513427372181665784481364589946415812159318879385565062577878382632940761442817497
Thu Sep 15 15:15:43 2022  elapsed time 00:06:55 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 17x10^160-14 = 56(159)2
#
n: 704379086999237725715446471481149511015488534541218516074866368332645672151594109832357775244394153474152398508878628799045269409276803
m: 100000000000000000000000000000000
deg: 5
c5: 17
c0: -14
skew: 0.96
# Murphy_E = 6.078e-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 1298114 hash collisions in 13943564 relations (13545703 unique)
Msieve: matrix is 429406 x 429634 (145.3 MB)

Sieving start time : 2022/09/15 14:41:43
Sieving end time  : 2022/09/15 15:08:30

Total sieving time: 0hrs 26min 47secs.

Total relation processing time: 0hrs 2min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 1sec.

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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10161-143

c162

name 名前ebina
date 日付September 10, 2022 19:16:07 UTC 2022 年 9 月 11 日 (日) 4 時 16 分 7 秒 (日本時間)
composite number 合成数
283333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<162>
prime factors 素因数
2416221059804381816950985200984950790418781096669777349408421419<64>
117263001323344192932032527801932222222358599057170705922726794770044838756607306701191213515600249<99>
factorization results 素因数分解の結果
Number: 56662_161
N = 283333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (162 digits)
SNFS difficulty: 162 digits.
Divisors found:
r1=2416221059804381816950985200984950790418781096669777349408421419 (pp64)
r2=117263001323344192932032527801932222222358599057170705922726794770044838756607306701191213515600249 (pp99)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 3.45 hours.
Factorization parameters were as follows:
n: 283333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 100000000000000000000000000000000
deg: 5
c5: 85
c0: -7
skew: 0.61
# Murphy_E = 5.02e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 9310845
Relations: 1095794 relations
Pruned matrix : 638864 x 639090
Total sieving time: 3.16 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.18 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 3.45 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10166-143

c159

name 名前Bob Backstrom
date 日付September 11, 2022 10:06:29 UTC 2022 年 9 月 11 日 (日) 19 時 6 分 29 秒 (日本時間)
composite number 合成数
601344687371898105807390103144126453137940738697898160947160613456759825641452078760504934560220818296974724725802917372105888083485546054333077224168303332353<159>
prime factors 素因数
14032796436840449182336280087389632814949013134801<50>
8390904353927415630352588578102300001430535686947909<52>
5107054383434076783290306463290824385926521876191432811517<58>
factorization results 素因数分解の結果
Number: n
N=601344687371898105807390103144126453137940738697898160947160613456759825641452078760504934560220818296974724725802917372105888083485546054333077224168303332353  ( 159 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Sep 11 20:01:10 2022  found factor: 8390904353927415630352588578102300001430535686947909
Sun Sep 11 20:02:11 2022  found factor: 8390904353927415630352588578102300001430535686947909
Sun Sep 11 20:02:41 2022  p50 factor: 14032796436840449182336280087389632814949013134801
Sun Sep 11 20:02:41 2022  p52 factor: 8390904353927415630352588578102300001430535686947909
Sun Sep 11 20:02:41 2022  p58 factor: 5107054383434076783290306463290824385926521876191432811517
Sun Sep 11 20:02:41 2022  elapsed time 00:09:19 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 17x10^166-14 = 56(165)2
#
n: 601344687371898105807390103144126453137940738697898160947160613456759825641452078760504934560220818296974724725802917372105888083485546054333077224168303332353
m: 1000000000000000000000000000000000
deg: 5
c5: 85
c0: -7
skew: 0.61
# Murphy_E = 3.199e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1563665 hash collisions in 13737471 relations (12981824 unique)
Msieve: matrix is 532202 x 532430 (183.5 MB)

Sieving start time : 2022/09/11 19:15:37
Sieving end time  : 2022/09/11 19:53:04

Total sieving time: 0hrs 37min 27secs.

Total relation processing time: 0hrs 4min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 2sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10168-143

c162

name 名前Bob Backstrom
date 日付September 13, 2022 23:32:48 UTC 2022 年 9 月 14 日 (水) 8 時 32 分 48 秒 (日本時間)
composite number 合成数
209892510588274628990911629598291168767678351037025804358104378261467248903552391232528084420446898688761977176584717469494407710374213900074719264445771788219247<162>
prime factors 素因数
86999403884554802929734710814027681546960711077769598716713975542362826179161<77>
2412574123689338425201739190983432809508698557449039003156811760789456693507610417927<85>
factorization results 素因数分解の結果
Number: n
N=209892510588274628990911629598291168767678351037025804358104378261467248903552391232528084420446898688761977176584717469494407710374213900074719264445771788219247  ( 162 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Sep 14 09:24:57 2022  p77 factor: 86999403884554802929734710814027681546960711077769598716713975542362826179161
Wed Sep 14 09:24:57 2022  p85 factor: 2412574123689338425201739190983432809508698557449039003156811760789456693507610417927
Wed Sep 14 09:24:57 2022  elapsed time 00:18:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 17x10^168-14 = 56(167)2
#
n: 209892510588274628990911629598291168767678351037025804358104378261467248903552391232528084420446898688761977176584717469494407710374213900074719264445771788219247
m: 1000000000000000000000000000000000
deg: 5
c5: 8500
c0: -7
skew: 0.24
# Murphy_E = 2.125e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 101500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 929098 hash collisions in 12529121 relations (12443856 unique)
Msieve: matrix is 940553 x 940778 (324.6 MB)

Sieving start time : 2022/09/13 22:19:52
Sieving end time  : 2022/09/14 09:04:17

Total sieving time: 10hrs 44min 25secs.

Total relation processing time: 0hrs 13min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10169-143

c105

name 名前Ignacio Santos
date 日付September 10, 2022 12:35:48 UTC 2022 年 9 月 10 日 (土) 21 時 35 分 48 秒 (日本時間)
composite number 合成数
113279760162816102658723443451810196340535475851126275724990077216452725092348573415736975308884272156747<105>
prime factors 素因数
5995997910654268040296429964552627367326439261797<49>
18892561647082912904769009989325222152991634632556378351<56>
factorization results 素因数分解の結果
Number: 1
N=113279760162816102658723443451810196340535475851126275724990077216452725092348573415736975308884272156747
  ( 105 digits)
Divisors found:
 r1=5995997910654268040296429964552627367326439261797 (pp49)
 r2=18892561647082912904769009989325222152991634632556378351 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.44 hours.
Scaled time: 42.50 units (timescale=7.813).
Factorization parameters were as follows:
name: 1
n: 113279760162816102658723443451810196340535475851126275724990077216452725092348573415736975308884272156747
skew: 17183.38
# norm 1.27e+015
c5: 22800
c4: 208188110
c3: -81794399995447
c2: -126874911434742141
c1: 4912608919763014616601
c0: 17385756085953484596888885
# alpha -6.50
Y1: 66003725249
Y0: -86944655869485269234
# Murphy_E 1.95e-009
# M 21670004432568388973134645880334688229996107562157533019145694825521077200382746155867408165483175381069
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 : 255604 x 255829
Total sieving time: 5.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 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: 5.44 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10170-143

c120

name 名前Bob Backstrom
date 日付September 17, 2022 02:13:12 UTC 2022 年 9 月 17 日 (土) 11 時 13 分 12 秒 (日本時間)
composite number 合成数
573135142563000001212445817558170093504046367936642962116572923445790883991798530360090074606853304989323329213746893571<120>
prime factors 素因数
8205913645048713059597895774260707759946257364866908853<55>
69844159633439291268785603103681198904839484553721885613176437207<65>
factorization results 素因数分解の結果
Number: n
N=573135142563000001212445817558170093504046367936642962116572923445790883991798530360090074606853304989323329213746893571  ( 120 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat Sep 17 12:07:18 2022  p55 factor: 8205913645048713059597895774260707759946257364866908853
Sat Sep 17 12:07:18 2022  p65 factor: 69844159633439291268785603103681198904839484553721885613176437207
Sat Sep 17 12:07:18 2022  elapsed time 00:12:54 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 17x10^170-14 = 56(169)2
#
n: 573135142563000001212445817558170093504046367936642962116572923445790883991798530360090074606853304989323329213746893571
m: 10000000000000000000000000000000000
deg: 5
c5: 17
c0: -14
skew: 0.96
# Murphy_E = 2.459e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1361409 hash collisions in 13697241 relations (13193706 unique)
Msieve: matrix is 696817 x 697043 (240.5 MB)

Sieving start time : 2022/09/17 10:40:58
Sieving end time  : 2022/09/17 11:54:09

Total sieving time: 1hrs 13min 11secs.

Total relation processing time: 0hrs 6min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 38sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10171-143

c167

name 名前Bob Backstrom
date 日付September 13, 2022 02:23:31 UTC 2022 年 9 月 13 日 (火) 11 時 23 分 31 秒 (日本時間)
composite number 合成数
48458727416807767078850901047278614878539624986460061457068418022085777648554504666290398900842041651701471435005444480550947225595329718882370714965765334336714042199<167>
prime factors 素因数
9158187537167821139868344045023397420749954531203086144619764261441<67>
5291301059313497972070446092924411783381518249168170119240161581186614603411129472007965804211206039<100>
factorization results 素因数分解の結果
Number: n
N=48458727416807767078850901047278614878539624986460061457068418022085777648554504666290398900842041651701471435005444480550947225595329718882370714965765334336714042199  ( 167 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue Sep 13 12:11:34 2022  p67 factor: 9158187537167821139868344045023397420749954531203086144619764261441
Tue Sep 13 12:11:34 2022  p100 factor: 5291301059313497972070446092924411783381518249168170119240161581186614603411129472007965804211206039
Tue Sep 13 12:11:34 2022  elapsed time 00:14:05 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 17x10^171-14 = 56(170)2
#
n: 48458727416807767078850901047278614878539624986460061457068418022085777648554504666290398900842041651701471435005444480550947225595329718882370714965765334336714042199
m: 10000000000000000000000000000000000
deg: 5
c5: 85
c0: -7
skew: 0.61
# Murphy_E = 2.029e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1548179 hash collisions in 13277674 relations (12494294 unique)
Msieve: matrix is 707760 x 707985 (245.8 MB)

Sieving start time : 2022/09/13 11:27:16
Sieving end time  : 2022/09/13 11:57:08

Total sieving time: 0hrs 29min 52secs.

Total relation processing time: 0hrs 7min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 34sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10172-143

c158

name 名前Bob Backstrom
date 日付September 14, 2022 00:37:00 UTC 2022 年 9 月 14 日 (水) 9 時 37 分 0 秒 (日本時間)
composite number 合成数
14434734981710902109031473850078463436823961395170117839670266821605432478272702682387456896095951624834674432853984909447022575522892265729504250052731765729<158>
prime factors 素因数
6633323497168074606790933594242785605102595627243766628842751817<64>
2176093927557345538852307034513557813702486293152838651253486456003935992169495369291268120537<94>
factorization results 素因数分解の結果
Number: n
N=14434734981710902109031473850078463436823961395170117839670266821605432478272702682387456896095951624834674432853984909447022575522892265729504250052731765729  ( 158 digits)
SNFS difficulty: 172 digits.
Divisors found:

Wed Sep 14 10:33:02 2022  p64 factor: 6633323497168074606790933594242785605102595627243766628842751817
Wed Sep 14 10:33:02 2022  p94 factor: 2176093927557345538852307034513557813702486293152838651253486456003935992169495369291268120537
Wed Sep 14 10:33:02 2022  elapsed time 00:12:12 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 17x10^172-14 = 56(171)2
#
n: 14434734981710902109031473850078463436823961395170117839670266821605432478272702682387456896095951624834674432853984909447022575522892265729504250052731765729
m: 10000000000000000000000000000000000
deg: 5
c5: 850
c0: -7
skew: 0.38
# Murphy_E = 1.773e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1649444 hash collisions in 13619550 relations (12743569 unique)
Msieve: matrix is 741322 x 741551 (255.8 MB)

Sieving start time : 2022/09/14 09:27:13
Sieving end time  : 2022/09/14 10:20:33

Total sieving time: 0hrs 53min 20secs.

Total relation processing time: 0hrs 8min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10174-143

c169

name 名前Bob Backstrom
date 日付September 12, 2022 21:56:32 UTC 2022 年 9 月 13 日 (火) 6 時 56 分 32 秒 (日本時間)
composite number 合成数
7997418245215897362075113633904537170588694661394015861232562099952674101443016513257367268731129621214045724533162470844706132514397705023225443456841697221508727065051<169>
prime factors 素因数
715085665943587604597763465170633117251448784289605979<54>
11183860376592705629429953280432237582524702648695213033738439203919737517996919482318774917809494611495849144797569<116>
factorization results 素因数分解の結果
Number: n
N=7997418245215897362075113633904537170588694661394015861232562099952674101443016513257367268731129621214045724533162470844706132514397705023225443456841697221508727065051  ( 169 digits)
SNFS difficulty: 175 digits.
Divisors found:

Tue Sep 13 07:02:17 2022  p54 factor: 715085665943587604597763465170633117251448784289605979
Tue Sep 13 07:02:17 2022  p116 factor: 11183860376592705629429953280432237582524702648695213033738439203919737517996919482318774917809494611495849144797569
Tue Sep 13 07:02:17 2022  elapsed time 00:14:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 17x10^174-14 = 56(173)2
#
n: 7997418245215897362075113633904537170588694661394015861232562099952674101443016513257367268731129621214045724533162470844706132514397705023225443456841697221508727065051
m: 50000000000000000000000000000000000
deg: 5
c5: 136
c0: -35
skew: 0.76
# Murphy_E = 1.407e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1725464 hash collisions in 13126292 relations (12102139 unique)
Msieve: matrix is 808807 x 809034 (280.4 MB)

Sieving start time : 2022/09/13 05:40:33
Sieving end time  : 2022/09/13 06:47:40

Total sieving time: 1hrs 7min 7secs.

Total relation processing time: 0hrs 10min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 55sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.5,2.5,100000
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10177-143

c89

name 名前Dmitry Domanov
date 日付September 9, 2022 23:30:30 UTC 2022 年 9 月 10 日 (土) 8 時 30 分 30 秒 (日本時間)
composite number 合成数
15771015009209102714763173272860329515692429615420525330714932661449853284675019135947167<89>
prime factors 素因数
1116767540407483802381391703055975779<37>
14122021314708527230415993569602152943277478812730773<53>
factorization results 素因数分解の結果
P37 = 1116767540407483802381391703055975779
P53 = 14122021314708527230415993569602152943277478812730773

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10178-143

c158

name 名前Bob Backstrom
date 日付September 27, 2022 19:22:57 UTC 2022 年 9 月 28 日 (水) 4 時 22 分 57 秒 (日本時間)
composite number 合成数
37237483048725164417363879389152455952956738018238680476711867159618119981550773416586197658876871940559855439663955504223124785207224353501467473361660269773<158>
prime factors 素因数
20043524114851623049015239297475115074191398211821811866183<59>
1857831129663139267554291043869012214410031427993312988965824320323514344088641960472983349508230731<100>
factorization results 素因数分解の結果
Number: n
N=37237483048725164417363879389152455952956738018238680476711867159618119981550773416586197658876871940559855439663955504223124785207224353501467473361660269773  ( 158 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Sep 28 05:09:29 2022  p59 factor: 20043524114851623049015239297475115074191398211821811866183
Wed Sep 28 05:09:29 2022  p100 factor: 1857831129663139267554291043869012214410031427993312988965824320323514344088641960472983349508230731
Wed Sep 28 05:09:29 2022  elapsed time 00:30:35 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 17x10^178-14 = 56(177)2
#
n: 37237483048725164417363879389152455952956738018238680476711867159618119981550773416586197658876871940559855439663955504223124785207224353501467473361660269773
m: 100000000000000000000000000000000000
deg: 5
c5: 8500
c0: -7
skew: 0.24
# Murphy_E = 8.493e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4607099 hash collisions in 29671074 relations (26437534 unique)
Msieve: matrix is 1020115 x 1020340 (347.1 MB)

Sieving start time : 2022/09/28 02:28:51
Sieving end time  : 2022/09/28 04:38:26

Total sieving time: 2hrs 9min 35secs.

Total relation processing time: 0hrs 16min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 6sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 18, 2022 15:35:28 UTC 2022 年 9 月 19 日 (月) 0 時 35 分 28 秒 (日本時間)

17×10179-143

c133

name 名前Bob Backstrom
date 日付September 17, 2022 08:09:51 UTC 2022 年 9 月 17 日 (土) 17 時 9 分 51 秒 (日本時間)
composite number 合成数
3467939027049097869228641413980330275844893627619808528998242198985371073848428961162086888413008933707227334270250819575123760348609<133>
prime factors 素因数
2891939976646587747796543614440246431<37>
1199173929975691410626058237209769532771158970938837172161860305575789062911257252223889475303839<97>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3467939027049097869228641413980330275844893627619808528998242198985371073848428961162086888413008933707227334270250819575123760348609 (133 digits)
Using B1=20240000, B2=70272629710, polynomial Dickson(12), sigma=1:1123284468
Step 1 took 23760ms
Step 2 took 11215ms
********** Factor found in step 2: 2891939976646587747796543614440246431
Found prime factor of 37 digits: 2891939976646587747796543614440246431
Prime cofactor 1199173929975691410626058237209769532771158970938837172161860305575789062911257252223889475303839 has 97 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10182-143

c181

name 名前Bob Backstrom
date 日付September 15, 2022 13:34:57 UTC 2022 年 9 月 15 日 (木) 22 時 34 分 57 秒 (日本時間)
composite number 合成数
3990610328638497652582159624413145539906103286384976525821596244131455399061032863849765258215962441314553990610328638497652582159624413145539906103286384976525821596244131455399061<181>
prime factors 素因数
7064113269353969823480634631757252250074067<43>
564913128722162828633217180394910277614048887063669487513438118043905698560734480841762523839239420233975317064678815094129709959827854583<138>
factorization results 素因数分解の結果
Number: n
N=3990610328638497652582159624413145539906103286384976525821596244131455399061032863849765258215962441314553990610328638497652582159624413145539906103286384976525821596244131455399061  ( 181 digits)
SNFS difficulty: 182 digits.
Divisors found:

Thu Sep 15 21:50:14 2022  p43 factor: 7064113269353969823480634631757252250074067
Thu Sep 15 21:50:14 2022  p138 factor: 564913128722162828633217180394910277614048887063669487513438118043905698560734480841762523839239420233975317064678815094129709959827854583
Thu Sep 15 21:50:14 2022  elapsed time 00:20:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 17x10^182-14 = 56(181)2
#
n: 3990610328638497652582159624413145539906103286384976525821596244131455399061032863849765258215962441314553990610328638497652582159624413145539906103286384976525821596244131455399061
m: 1000000000000000000000000000000000000
deg: 5
c5: 850
c0: -7
skew: 0.38
# Murphy_E = 7.026e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3298266 hash collisions in 29229677 relations (27661365 unique)
Msieve: matrix is 923488 x 923715 (315.5 MB)

Sieving start time : 2022/09/15 18:16:04
Sieving end time  : 2022/09/15 21:29:02

Total sieving time: 3hrs 12min 58secs.

Total relation processing time: 0hrs 12min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10183-143

c181

name 名前Bob Backstrom
date 日付September 15, 2022 04:12:12 UTC 2022 年 9 月 15 日 (木) 13 時 12 分 12 秒 (日本時間)
composite number 合成数
3467972256221950224398204814361485108119135046919624643002855977152182782537739698082415340677274581803345573235414116687066503467972256221950224398204814361485108119135046919624643<181>
prime factors 素因数
807292755221632244296909640858542686225374413472138008853<57>
4295805002325161856148440294229329672061355274533116135617378630379952262600707587291972406607652699258119032337283366253431<124>
factorization results 素因数分解の結果
Number: n
N=3467972256221950224398204814361485108119135046919624643002855977152182782537739698082415340677274581803345573235414116687066503467972256221950224398204814361485108119135046919624643  ( 181 digits)
SNFS difficulty: 183 digits.
Divisors found:

Thu Sep 15 14:08:05 2022  p57 factor: 807292755221632244296909640858542686225374413472138008853
Thu Sep 15 14:08:05 2022  p124 factor: 4295805002325161856148440294229329672061355274533116135617378630379952262600707587291972406607652699258119032337283366253431
Thu Sep 15 14:08:05 2022  elapsed time 00:27:00 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 17x10^183-14 = 56(182)2
#
n: 3467972256221950224398204814361485108119135046919624643002855977152182782537739698082415340677274581803345573235414116687066503467972256221950224398204814361485108119135046919624643
m: 1000000000000000000000000000000000000
deg: 5
c5: 8500
c0: -7
skew: 0.24
# Murphy_E = 5.332e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3876663 hash collisions in 30469203 relations (28297098 unique)
Msieve: matrix is 1031721 x 1031945 (350.7 MB)

Sieving start time : 2022/09/15 09:31:00
Sieving end time  : 2022/09/15 13:40:29

Total sieving time: 4hrs 9min 29secs.

Total relation processing time: 0hrs 17min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 24sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10187-143

c165

name 名前Bob Backstrom
date 日付September 25, 2022 09:39:41 UTC 2022 年 9 月 25 日 (日) 18 時 39 分 41 秒 (日本時間)
composite number 合成数
101693226500457107328848047880130225030775164564526427117729962790516517156081130157793004003699400572278678785609816365125377448297668484371606645171630013962548493<165>
prime factors 素因数
41857343649624326389207712907908071373032218542333729<53>
2429519353920344002456186633526931899749667363045252649790471610854800687952141038255031848853021114903483511917<112>
factorization results 素因数分解の結果
Number: n
N=101693226500457107328848047880130225030775164564526427117729962790516517156081130157793004003699400572278678785609816365125377448297668484371606645171630013962548493  ( 165 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun Sep 25 19:35:02 2022  p53 factor: 41857343649624326389207712907908071373032218542333729
Sun Sep 25 19:35:02 2022  p112 factor: 2429519353920344002456186633526931899749667363045252649790471610854800687952141038255031848853021114903483511917
Sun Sep 25 19:35:02 2022  elapsed time 00:33:01 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 17x10^187-14 = 56(186)2
#
n: 101693226500457107328848047880130225030775164564526427117729962790516517156081130157793004003699400572278678785609816365125377448297668484371606645171630013962548493
m: 10000000000000000000000000000000000000
deg: 5
c5: 850
c0: -7
skew: 0.38
# Murphy_E = 4.395e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3201150 hash collisions in 28696247 relations (27193031 unique)
Msieve: matrix is 1112107 x 1112332 (384.0 MB)

Sieving start time : 2022/09/25 15:52:34
Sieving end time  : 2022/09/25 19:01:31

Total sieving time: 3hrs 8min 57secs.

Total relation processing time: 0hrs 20min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 33sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 15, 2022 12:35:47 UTC 2022 年 9 月 15 日 (木) 21 時 35 分 47 秒 (日本時間)

17×10191-143

c168

name 名前Bob Backstrom
date 日付September 20, 2022 23:48:44 UTC 2022 年 9 月 21 日 (水) 8 時 48 分 44 秒 (日本時間)
composite number 合成数
154586589118036367124118154830770648956656500566128413916176842480872467032057507023387954631721925947871736340559886340494556800010258987689665353893134871158400689283<168>
prime factors 素因数
75377735180075048582761834001557144584337224157397027751807521185249539927966975347<83>
2050825601866835707297067711969228021033719785554341830112625547115868243280463962289<85>
factorization results 素因数分解の結果
Number: n
N=154586589118036367124118154830770648956656500566128413916176842480872467032057507023387954631721925947871736340559886340494556800010258987689665353893134871158400689283  ( 168 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed Sep 21 08:41:31 2022  p83 factor: 75377735180075048582761834001557144584337224157397027751807521185249539927966975347
Wed Sep 21 08:41:31 2022  p85 factor: 2050825601866835707297067711969228021033719785554341830112625547115868243280463962289
Wed Sep 21 08:41:31 2022  elapsed time 00:44:11 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 17x10^191-14 = 56(190)2
#
n: 154586589118036367124118154830770648956656500566128413916176842480872467032057507023387954631721925947871736340559886340494556800010258987689665353893134871158400689283
m: 100000000000000000000000000000000000000
deg: 5
c5: 85
c0: -7
skew: 0.61
# Murphy_E = 3.138e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3476238 hash collisions in 28904967 relations (27074336 unique)
Msieve: matrix is 1320354 x 1320580 (457.5 MB)

Sieving start time : 2022/09/21 01:43:51
Sieving end time  : 2022/09/21 07:56:14

Total sieving time: 6hrs 12min 23secs.

Total relation processing time: 0hrs 30min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 17sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 19, 2022 14:08:55 UTC 2022 年 9 月 19 日 (月) 23 時 8 分 55 秒 (日本時間)

17×10192-143

c168

name 名前Bob Backstrom
date 日付September 20, 2022 15:37:58 UTC 2022 年 9 月 21 日 (水) 0 時 37 分 58 秒 (日本時間)
composite number 合成数
133768770057151024172640300627481616929483234194845668585261010616148577382794374150310289712796775222986484679552630963700950213132412532073693008144872400820958827321<168>
prime factors 素因数
75434927329920539219889033645755049788307536839550418205440289559<65>
1773300177941484231401995657156744396673441358335338442452872040196526794715930736798980757249638262319<103>
factorization results 素因数分解の結果
Number: n
N=133768770057151024172640300627481616929483234194845668585261010616148577382794374150310289712796775222986484679552630963700950213132412532073693008144872400820958827321  ( 168 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed Sep 21 01:10:37 2022  p65 factor: 75434927329920539219889033645755049788307536839550418205440289559
Wed Sep 21 01:10:37 2022  p103 factor: 1773300177941484231401995657156744396673441358335338442452872040196526794715930736798980757249638262319
Wed Sep 21 01:10:37 2022  elapsed time 00:47:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 17x10^192-14 = 56(191)2
#
n: 133768770057151024172640300627481616929483234194845668585261010616148577382794374150310289712796775222986484679552630963700950213132412532073693008144872400820958827321
m: 100000000000000000000000000000000000000
deg: 5
c5: 850
c0: -7
skew: 0.38
# Murphy_E = 2.737e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3225461 hash collisions in 28473341 relations (26915033 unique)
Msieve: matrix is 1403562 x 1403787 (486.7 MB)

Sieving start time : 2022/09/20 19:39:12
Sieving end time  : 2022/09/21 00:22:55

Total sieving time: 4hrs 43min 43secs.

Total relation processing time: 0hrs 35min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 51sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 19, 2022 14:30:05 UTC 2022 年 9 月 19 日 (月) 23 時 30 分 5 秒 (日本時間)

17×10197-143

c148

composite cofactor 合成数の残り
3248509126805646985710164027097445429857172865646585229352257250559008226459560521713097713497161030609235465826156159735421618693033142617007561093<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 28, 2022 07:39:33 UTC 2022 年 9 月 28 日 (水) 16 時 39 分 33 秒 (日本時間)

17×10198-143

c140

composite cofactor 合成数の残り
27343532286062881069519339085113605219784275963711344543445646586773233422874641250104262069112686203678659623701075628978808437010199976109<140>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 28, 2022 07:57:53 UTC 2022 年 9 月 28 日 (水) 16 時 57 分 53 秒 (日本時間)

17×10200-143

c136

name 名前Norman Powell
date 日付September 25, 2022 13:41:12 UTC 2022 年 9 月 25 日 (日) 22 時 41 分 12 秒 (日本時間)
composite number 合成数
4167909140180992300616570336624697605346536419156882044167041580349347415420157797941088189047918662067555356838034336358898055103133473<136>
prime factors 素因数
104628522522000944253711599695859103429941976995582534179070213117<66>
39835305323216983866621002287401246796428450691926068100973334329665269<71>
factorization results 素因数分解の結果
New best polynomial is:
n: 416790......133473
skew: 75542.136
c0: 8613079942315701962790918544000
c1: -440586187580269919099807094
c2: -6468697340425063818033
c3: 147296330899682391
c4: 478746894092
c5: 209760
Y0: 11643443944350373723606101
Y1: 1059540508015113919771
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 1.866e-06
# f(x) = 209760*x^5+478746894092*x^4+147296330899682391*
  x^3-6468697340425063818033*x^2-440586187580269919099807094*
        x+8613079942315701962790918544000
# g(x) = 1059540508015113919771*x+11643443944350373723606101
Factors: 
 104628522522000944253711599695859103429941976995582534179070213117
        39835305323216983866621002287401246796428450691926068100973334329665269
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 526807/76512.5, (21.25 hours).
software ソフトウェア
CADO-NFS v3.0.0
execution environment 実行環境
Ubuntu 20.04.4, 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 11, 2022 13:54:35 UTC 2022 年 9 月 11 日 (日) 22 時 54 分 35 秒 (日本時間)
4511e64480Ignacio SantosSeptember 20, 2022 15:25:35 UTC 2022 年 9 月 21 日 (水) 0 時 25 分 35 秒 (日本時間)

17×10201-143

c176

name 名前Bob Backstrom
date 日付November 7, 2022 17:15:05 UTC 2022 年 11 月 8 日 (火) 2 時 15 分 5 秒 (日本時間)
composite number 合成数
13781886420176492239390051318090935992576124123091530489567424259818833317308745309903691014861181610649185212142340385805498870017840821320407167406544314829537974115395446221<176>
prime factors 素因数
1994390421859451148817859409349571684995380287943741182365359962348421169781<76>
6910325214722541677756956030395236240729327564564334867094953417953612637734680881618750314975509241<100>
factorization results 素因数分解の結果
Number: n
N=13781886420176492239390051318090935992576124123091530489567424259818833317308745309903691014861181610649185212142340385805498870017840821320407167406544314829537974115395446221  ( 176 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Nov  8 03:58:07 2022  p76 factor: 1994390421859451148817859409349571684995380287943741182365359962348421169781
Tue Nov  8 03:58:07 2022  p100 factor: 6910325214722541677756956030395236240729327564564334867094953417953612637734680881618750314975509241
Tue Nov  8 03:58:07 2022  elapsed time 01:41:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 17x10^201-14 = 56(200)2
#
n: 13781886420176492239390051318090935992576124123091530489567424259818833317308745309903691014861181610649185212142340385805498870017840821320407167406544314829537974115395446221
m: 10000000000000000000000000000000000000000
deg: 5
c5: 85
c0: -7
skew: 0.61
# Murphy_E = 1.203e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 35300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2297469 hash collisions in 14777195 relations (13165945 unique)
Msieve: matrix is 2224035 x 2224260 (776.0 MB)

Sieving start time : 2022/11/07 14:56:53
Sieving end time  : 2022/11/08 02:16:12

Total sieving time: 11hrs 19min 19secs.

Total relation processing time: 1hrs 33min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 50sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,27,27,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 4, 2022 14:44:14 UTC 2022 年 11 月 4 日 (金) 23 時 44 分 14 秒 (日本時間)

17×10202-143

c160

composite cofactor 合成数の残り
2125618631468693034178615476819765285072881771575855251417302149233569183960451647989207935075176782982169461115181993957872250056858803174346874070070631771771<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10204-143

c197

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10206-143

c175

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10207-143

c178

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10208-143

c203

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10212-143

c205

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10214-143

c194

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10215-143

c180

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10217-143

c189

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10218-143

c164

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10220-143

c177

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10223-143

c212

composite cofactor 合成数の残り
15241017572743504389733407326185488138937799509987478933632150802954506709521765338979992232443842755368181706562780943758588690916642926296121632110932415957970339697385851066753624026122551212860493920612611371<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10224-143

c202

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10226-143

c204

composite cofactor 合成数の残り
173336586858290940370323710669856126865023970073928945994225677856670593332629627078443607609153631491951225608905049106681546903886670737601495338029245609837952316933485462111702901778259298080415593807<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10227-143

c224

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10228-143

c194

composite cofactor 合成数の残り
87766412350922638143649071516770359011967941157167649700207757021516772001804626928760542997251803287502810656868748400050162010705060203556530335556295202234671246268781150502208013147917742923<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10229-143

c174

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10230-143

c222

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10232-143

c212

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10233-143

c211

composite cofactor 合成数の残り
1450594414216166709725733751616726391436312280482093921957952345487059701092337742248051987664950816241405238654987138136861192687009726361945628863421375651439490385698632804035222172243397838944699834412563767<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10237-143

c191

composite cofactor 合成数の残り
17791129300493039092158690257165898693025310307204968823789261229712340864571231185681620651171052003429638774802129106215539894226018302851481815753958168572572252401038141094678479037573227<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10239-143

c205

composite cofactor 合成数の残り
2224437221060205332995616417410910847135355694865956835871977796943022771011742619864595106496181083969744102694718260489437953012475312311575048894418421877548500460295125648706779855663825179116369631559<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10240-143

c208

composite cofactor 合成数の残り
2998576016602664632242431835376206800674138264418525892634412336875343570229046724796716619224337269432636676453953008210849149658217931337754086127155329418707017304169107476068340900965659158643419333339579<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10241-143

c210

composite cofactor 合成数の残り
139989307051643436812441705393343612604602112030370233443475784449394162510298513407238193625993246747331458941582705932473962501108394988204409127730569522529240056539159610845864410401612889091477135222836581<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10242-143

c243

composite cofactor 合成数の残り
283333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10243-143

c222

composite cofactor 合成数の残り
684360351539028855199382331868982608193347091612861663490817395014432653539249334217491319454641828741510396996845804940424824657322979624388326197651499371263349213346880468478555863380681831528405224595588153816535784209<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10244-143

c241

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10245-143

c198

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10246-143

c230

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10248-143

c210

composite cofactor 合成数の残り
835240699513945942917168113576834947477803834738670133611288211489504866560539154333072728635416936405915436923470300504722042877723304768791174761445842695349805034099601967004475873736415388410434097946176833<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10249-143

c209

composite cofactor 合成数の残り
69047902869243860146544033644008418490130080318079866053120514327743360014197041232225024340762988109050166350536267413505706596869324228783510626691157131317685449397588982386655745852413751401552663389018981<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10251-143

c135

name 名前Norman Powell
date 日付September 20, 2022 16:41:52 UTC 2022 年 9 月 21 日 (水) 1 時 41 分 52 秒 (日本時間)
composite number 合成数
422915385865941426765720946662778130403206574032924473944379440980897559521838061336012856528539559244138332550192772634724037636894939<135>
prime factors 素因数
45227157138064703071274673589159615041739888090422218366396014439<65>
9350916852344043383108564545513780603704653401034460959496477627899501<70>
factorization results 素因数分解の結果
n: 422915......6894939
skew: 138754.241
c0: 3755516255721790602619709927984
c1: -214877774027106705042800042
c2: 1427678660557027637961
c3: 31958317648973132
c4: -29635986770
c5: 49500
Y0: -137629663883396017148395401
Y1: 56051555454690648271
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 2.008e-06
# f(x) = 49500*x^5-29635986770*x^4+31958317648973132*
      x^3+1427678660557027637961*x^2-214877774027106705042800042*
        x+3755516255721790602619709927984
# g(x) = 56051555454690648271*x-137629663883396017148395401
Factors: 
  45227157138064703071274673589159615041739888090422218366396014439
        9350916852344043383108564545513780603704653401034460959496477627899501
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 374043/55875.1, (15.52 hours).
software ソフトウェア
CADO-NFS v3.0.0
execution environment 実行環境
Ubuntu 20.04.4, Intel Xeon E5-1620, 3.6 GHz.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 11, 2022 13:54:08 UTC 2022 年 9 月 11 日 (日) 22 時 54 分 8 秒 (日本時間)

17×10253-143

c240

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10257-143

c215

composite cofactor 合成数の残り
58523209856258369721549781232302067626675320655947251351140227656427622997046968160729491144456687269063598151847500097536724461218508372468674995295029837400028463030921001392919032318907362448135129258858676869159<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10264-143

c233

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10265-143

c154

composite cofactor 合成数の残り
4630131897546727163388260406338414512972912575061539391689700759313282020926977863565893639171866452652413439735588195686793470080367607212477447480223767<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 12, 2022 13:41:26 UTC 2022 年 9 月 12 日 (月) 22 時 41 分 26 秒 (日本時間)
4511e64480Ignacio SantosSeptember 14, 2022 11:31:00 UTC 2022 年 9 月 14 日 (水) 20 時 31 分 0 秒 (日本時間)

17×10266-143

c239

composite cofactor 合成数の残り
21513644831784706480465020539596532102257160495570946997668771841380363887890399426232591363997372173032187792946636628567905676376425749459981209592539625400182125733971514769501614611165392617239277842295796604966452689098300098374471881<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10267-143

c261

composite cofactor 合成数の残り
342722436235583531920824988546014579573718608187251926916577447952457221083106924843913114459495873037223567642986118813965866700084120213966858579134872608659241202042899897913066317073653591725083705923021879682571285964334851755007003432183757609597292670163<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10269-143

c249

composite cofactor 合成数の残り
207141244414358780597286114597451089555402841803122086552431461398799267467851899925543555415111445775299074267333556488458228920773351287413768704147327556306279997051748960932412115810758436190476501750070551970100797157500381697219415765857001219<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10270-143

c211

composite cofactor 合成数の残り
3625420367922759580546583934201395714642059155326960371020276726225584057072295590917029161720859828415942258390002021795487466082448866186311499936321429890223415307434842162930967602257395999329721152434309141<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10273-143

c224

composite cofactor 合成数の残り
24722850044279313601924210549775957795405592155667402848875771423423661326564700378262621793805420497901865505709405692267517401388131486430124462084655958615975107598411604934027505537185064316044238353782133032417178986597<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10274-143

c260

composite cofactor 合成数の残り
40402606267992330314347537010195556460928534315664691948742766676588710029583279687542273077402477297985893864987984139137755759046070835364372206930698369664588515628898319384080740457527947946929970917424550300788343745820498900026882934374037976673011695317<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10275-143

c192

composite cofactor 合成数の残り
145518741442201994748392987553974445119237970020204416007436901062149960479379293111872437092882643974563414299551112740330369843086976251277149759839763539962027252038799794352065848701141981<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10278-143

c277

composite cofactor 合成数の残り
4228855721393034825870646766169154228855721393034825870646766169154228855721393034825870646766169154228855721393034825870646766169154228855721393034825870646766169154228855721393034825870646766169154228855721393034825870646766169154228855721393034825870646766169154228855721393<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10280-143

c222

composite cofactor 合成数の残り
280069331688289292859131739540142676328028416845928099753814940477264653540765639358716623594156787036154828655557435402110278868712475121837780753406184591896847082495358246116053671989827947646359983113064690130947854559<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10284-143

c268

composite cofactor 合成数の残り
1100847512269401606950133959360875617633692139498648852206731907512475096973966169173405694905407124306028296099867271315694370178873947667884816130041215068971305049087812832362172262149265205480366051036835524835683084415380489036206172325179782207976785713002808721<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10286-143

c261

composite cofactor 合成数の残り
263047309358834664493912984675948559513327346224847022355369033275974693413716237602981444526856161813802410773344088585483817554584494105633643416761300341777125599679343973730872676574729083020220908597036318501215147046729569478501554890072236409215329321431<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10287-143

c275

composite cofactor 合成数の残り
79620175666449863937875893084066981739227656861259051286028031558711352064725973243037983121032691092236753114304073167318347039520960916820606422759520974823685146158868125084476140454148686182249921736949033482138996197242445412543703512752461526256324256546948786409550547<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10288-143

c238

composite cofactor 合成数の残り
7176397935502744665187991741549715037297385755197828531691795575491401290775259992678821701217459713819861624756355952969314251906040366210010308537013629851644668307107993290342761251916259020492794626721436176519727977866794095753904403<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10291-143

c278

composite cofactor 合成数の残り
39992206157883183128981736814099027953980167242929140247948483574253143503657860658569682050736733961694790632365776666896609551083526310735276920538153917697862646839644326510099382057228079740217482116153396025858041103018673722856399989307783211423646324331729188061000000809<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10292-143

c266

composite cofactor 合成数の残り
60296811598818755122576832185774611784104851914479400161321806649191499585229524475148944764420626971640245440745755250656650443444241933130848086893415757846714783409740480455127723295228359444092675675397715253922801891234152719746910212214752841407854983052953511<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10293-143

c234

composite cofactor 合成数の残り
381904646659458913859491782034598258186694952642946054728804600523161124396579560251891686575740876236763610478744389595508236612668733472963024837541677954306960794705810484613364683711930091829572053281795924278913657045052645766017<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10295-143

c257

composite cofactor 合成数の残り
45638954684938359089515588813538086372403819070836330876197450331356505012310341948787849937319465887466315584235264235055409278410183561141685238987394700474126797658100322143061844469904240486569451070519138628953926002369563698626133840566871474719714957<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10296-143

c276

composite cofactor 合成数の残り
409257801827491227156014048199724701683567412462462075112800305920557056398152572017755932266619744782358070614728038978738151613168805846979901877365867822723357397446618092855831612911389686579231714705147738619512830388114480450054038599289273936766183443287705040379157017<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

17×10298-143

c287

composite cofactor 合成数の残り
11524403339435630453837728100721224096210552208455053831918067815375126372025510651182891655883242875631276289620095550225791302437682481968436753031017973257215106803308442725748131023878348999203649035088415292178719382603294849474835275296487543152352696919087443683377522793628485983<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)