Table of contents 目次

7×10126+6

c126

name 名前Ignacio Santos
date 日付November 27, 2022 17:20:53 UTC 2022 年 11 月 28 日 (月) 2 時 20 分 53 秒 (日本時間)
composite number 合成数
269230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769231<126>
prime factors 素因数
18604661501486429459724360269349004351841213<44>
14471145804467277909329553266641761806007449717141520107360826471222866155343284987<83>
factorization results 素因数分解の結果
Number: 1
N=269230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769231
  ( 126 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=18604661501486429459724360269349004351841213 (pp44)
 r2=14471145804467277909329553266641761806007449717141520107360826471222866155343284987 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.28 hours.
Scaled time: 17.63 units (timescale=7.746).
Factorization parameters were as follows:
n: 269230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769231
m: 10000000000000000000000000000000
deg: 4
c4: 350
c0: 3
skew: 0.30
# Murphy_E = 1.679e-08
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 975001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 111637 x 111862
Total sieving time: 2.26 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126.000,4,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,75000
total time: 2.28 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10130+6

c128

name 名前Norman Powell
date 日付December 1, 2022 15:05:29 UTC 2022 年 12 月 2 日 (金) 0 時 5 分 29 秒 (日本時間)
composite number 合成数
99150141643059490084985835694050991501416430594900849858356940509915014164305949008498583569405099150141643059490084985835694051<128>
prime factors 素因数
250048511595341272597850826730232049187<39>
396523622598147013130164460230556881134013636339623707465895493935778270311550103910718273<90>
factorization results 素因数分解の結果
New best polynomial is:
n: 99150141643059490084985835694050991501416430594900849858356940509915014164305949008498583569405099150141643059490084985835694051
skew: 26423.525
c0: 32360840756362160600989250136
c1: -3503897136661291225082302
c2: -138269850058844234109
c3: 4164404349935917
c4: 335903781078
c5: 522720
Y0: 3370821180003321615267891
Y1: 67735253454955770883
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.181e+13) = 2.374e-06
# f(x) = 522720*x^5+335903781078*x^4+4164404349935917*
        x^3-138269850058844234109*x^2-3503897136661291225082302*
        x+32360840756362160600989250136
# g(x) = 67735253454955770883*x+3370821180003321615267891
Factors:
     396523622598147013130164460230556881134013636339623707465895493935778270311550103910718273
        250048511595341272597850826730232049187
Total cpu/elapsed time for entire Complete Factorization 180314/26746.1
software ソフトウェア
CADO-NFS v3.0.0.
execution environment 実行環境
Ubuntu 20.04.4 LTS, Intel Xeon E5-1620

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10135+6

c106

name 名前Eric Jeancolas
date 日付November 28, 2022 17:22:52 UTC 2022 年 11 月 29 日 (火) 2 時 22 分 52 秒 (日本時間)
composite number 合成数
4894427043878904172600388965558361964628121401464022152724559889285606682836507774128838518045448689943899<106>
prime factors 素因数
23513396407791174152045731114071686327984651<44>
208154830505776427838401236751764403585341882507170066862296049<63>
factorization results 素因数分解の結果
4894427043878904172600388965558361964628121401464022152724559889285606682836507774128838518045448689943899=23513396407791174152045731114071686327984651*208154830505776427838401236751764403585341882507170066862296049

cado polynomial
n: 4894427043878904172600388965558361964628121401464022152724559889285606682836507774128838518045448689943899
skew: 3344.153
c0: 19899898730004659409750
c1: 12553227279333851615
c2: -16586491544910930
c3: -724207876619
c4: -275149528
c5: -18720
Y0: -149979555149203540991
Y1: 47512960618857817
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.831e-06
# f(x) = -18720*x^5-275149528*x^4-724207876619*x^3-16586491544910930*x^2+12553227279333851615*x+19899898730004659409750
# g(x) = 47512960618857817*x-149979555149203540991

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

cado log (extracts)
Info:Square Root: Factors: 23513396407791174152045731114071686327984651 208154830505776427838401236751764403585341882507170066862296049
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9876/30.530/37.425/43.360/1.074
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7585/29.490/33.183/37.860/0.895
Info:Polynomial Selection (size optimized): Total time: 584.79
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 167.21
Info:Polynomial Selection (root optimized): Rootsieve time: 155.86
Info:Generate Factor Base: Total cpu/real time for makefb: 1.56/0.257001
Info:Generate Free Relations: Total cpu/real time for freerel: 62.72/7.91213
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5117993
Info:Lattice Sieving: Average J: 1894.07 for 62899 special-q, max bucket fill -bkmult 1.0,1s:1.319040
Info:Lattice Sieving: Total time: 9718.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.63/14.7643
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 14.200000000000003s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 87.94/64.8952
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 54.59999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.63/43.6009
Info:Filtering - Merging: Merged matrix has 228469 rows and total weight 33551854 (146.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 33.27/5.14312
Info:Filtering - Merging: Total cpu/real time for replay: 6.58/5.30087
Info:Linear Algebra: Total cpu/real time for bwc: 430.03/114.39
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 66.5, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7168 iterations)
Info:Linear Algebra: Lingen CPU time 19.11, WCT time 5.21
Info:Linear Algebra: Mksol: WCT time 38.74, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3584 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 9.5/2.31512
Info:Square Root: Total cpu/real time for sqrt: 313.42/42.3932
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 27497.1/2851.3
Info:root: Cleaning up computation data in /tmp/cado.wz4k9e9v
23513396407791174152045731114071686327984651 208154830505776427838401236751764403585341882507170066862296049
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10142+6

c141

name 名前Bob Backstrom
date 日付November 26, 2022 01:03:27 UTC 2022 年 11 月 26 日 (土) 10 時 3 分 27 秒 (日本時間)
composite number 合成数
393258426966292134831460674157303370786516853932584269662921348314606741573033707865168539325842696629213483146067415730337078651685393258427<141>
prime factors 素因数
273766665630081322394795611962481679<36>
1436473012743159651588021325730574380352477303043592355691107424480973173886083986904484598631669845675413<106>
factorization results 素因数分解の結果
Number: n
N=393258426966292134831460674157303370786516853932584269662921348314606741573033707865168539325842696629213483146067415730337078651685393258427  ( 141 digits)
SNFS difficulty: 142 digits.
Divisors found:

Sat Nov 26 11:55:44 2022  p36 factor: 273766665630081322394795611962481679
Sat Nov 26 11:55:44 2022  p106 factor: 1436473012743159651588021325730574380352477303043592355691107424480973173886083986904484598631669845675413
Sat Nov 26 11:55:44 2022  elapsed time 00:02:59 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 7x10^142+6 = 70(141)6
#
n: 393258426966292134831460674157303370786516853932584269662921348314606741573033707865168539325842696629213483146067415730337078651685393258427
m: 100000000000000000000000000000000000
deg: 4
c4: 350
c0: 3
skew: 0.30
# Murphy_E = 2.737e-09
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6430000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 383788 hash collisions in 5551618 relations (5805769 unique)
Msieve: matrix is 277812 x 278040 (95.4 MB)

Sieving start time : 2022/11/26 11:22:35
Sieving end time  : 2022/11/26 11:49:36

Total sieving time: 0hrs 27min 1secs.

Total relation processing time: 0hrs 1min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,142,4,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10143+6

c131

name 名前Bob Backstrom
date 日付November 26, 2022 08:54:53 UTC 2022 年 11 月 26 日 (土) 17 時 54 分 53 秒 (日本時間)
composite number 合成数
18246161462517824724353709153986037385065697300208162172769977431363118755089652392252934543142945968328085802745607486510891646053<131>
prime factors 素因数
515208946756880952319333194454206861565157244829882477<54>
35415071064610031073712775847801485107068807776172732389669420229823933212889<77>
factorization results 素因数分解の結果
Number: n
N=18246161462517824724353709153986037385065697300208162172769977431363118755089652392252934543142945968328085802745607486510891646053  ( 131 digits)
SNFS difficulty: 144 digits.
Divisors found:

Sat Nov 26 19:47:13 2022  p54 factor: 515208946756880952319333194454206861565157244829882477
Sat Nov 26 19:47:13 2022  p77 factor: 35415071064610031073712775847801485107068807776172732389669420229823933212889
Sat Nov 26 19:47:13 2022  elapsed time 00:02:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
#
# N = 7x10^143+6 = 70(142)6
#
n: 18246161462517824724353709153986037385065697300208162172769977431363118755089652392252934543142945968328085802745607486510891646053
m: 500000000000000000000000000000000000
deg: 4
c4: 28
c0: 15
skew: 0.86
# Murphy_E = 2.607e-09
type: snfs
lss: 1
rlim: 1770000
alim: 1770000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1770000/1770000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6485000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 428107 hash collisions in 5976646 relations (6222908 unique)
Msieve: matrix is 273608 x 273833 (91.8 MB)

Sieving start time : 2022/11/26 19:15:57
Sieving end time  : 2022/11/26 19:44:03

Total sieving time: 0hrs 28min 6secs.

Total relation processing time: 0hrs 1min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 9sec.

Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1770000,1770000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10148+6

c126

name 名前Bob Backstrom
date 日付November 30, 2022 00:40:20 UTC 2022 年 11 月 30 日 (水) 9 時 40 分 20 秒 (日本時間)
composite number 合成数
234032609639746760105587151628439825816186919094779588385733694837224925291459724094106930372024640267186318206486609440672339<126>
prime factors 素因数
164193799181860167805784902345525018469<39>
1425343775501129015913815509895282344050451353845525164553632654608431199670781766374231<88>
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 234032609639746760105587151628439825816186919094779588385733694837224925291459724094106930372024640267186318206486609440672339 (126 digits)
Using B1=27380000, B2=144286522396, polynomial Dickson(12), sigma=1:469461753
Step 1 took 42397ms
Step 2 took 18622ms
********** Factor found in step 2: 164193799181860167805784902345525018469
Found prime factor of 39 digits: 164193799181860167805784902345525018469
Prime cofactor 1425343775501129015913815509895282344050451353845525164553632654608431199670781766374231 has 88 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10153+6

c114

name 名前Eric Jeancolas
date 日付November 29, 2022 16:38:43 UTC 2022 年 11 月 30 日 (水) 1 時 38 分 43 秒 (日本時間)
composite number 合成数
302533422125526958227446553472969242146073773388712282619257231601785714450766660027142999558270262209945500186239<114>
prime factors 素因数
97393803553422764116435560492590995567735681<44>
3106290247300798218325170217288265817959481423141207477769464411384319<70>
factorization results 素因数分解の結果
302533422125526958227446553472969242146073773388712282619257231601785714450766660027142999558270262209945500186239=97393803553422764116435560492590995567735681*3106290247300798218325170217288265817959481423141207477769464411384319

cado polynomial
n: 302533422125526958227446553472969242146073773388712282619257231601785714450766660027142999558270262209945500186239
skew: 11661.59
c0: 10006705214058840317367150
c1: 8076936268299055749305
c2: -1560831009451227832
c3: -122347343772733
c4: 1127427030
c5: 194400
Y0: -7747992219527913376468
Y1: 4627277534220859
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.217e-06
# f(x) = 194400*x^5+1127427030*x^4-122347343772733*x^3-1560831009451227832*x^2+8076936268299055749305*x+10006705214058840317367150
# g(x) = 4627277534220859*x-7747992219527913376468

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3106290247300798218325170217288265817959481423141207477769464411384319 97393803553422764116435560492590995567735681
Info:Square Root: Total cpu/real time for sqrt: 136.87/47.3838
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21943/32.910/40.446/48.240/1.070
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17134/31.460/35.781/41.320/0.818
Info:Polynomial Selection (size optimized): Total time: 1832.25
Info:Quadratic Characters: Total cpu/real time for characters: 15.5/7.67996
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 117.16/175.025
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 144.0s
Info:Square Root: Total cpu/real time for sqrt: 136.87/47.3838
Info:Generate Free Relations: Total cpu/real time for freerel: 63.87/21.3118
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.68/33.1693
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 32.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.28/107.72
Info:Filtering - Merging: Merged matrix has 424043 rows and total weight 65732937 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 70.23/26.4546
Info:Filtering - Merging: Total cpu/real time for replay: 14.42/12.0866
Info:Generate Factor Base: Total cpu/real time for makefb: 4.13/2.03974
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6821817
Info:Lattice Sieving: Average J: 1887.71 for 117419 special-q, max bucket fill -bkmult 1.0,1s:1.243530
Info:Lattice Sieving: Total time: 17781.2s
Info:Linear Algebra: Total cpu/real time for bwc: 4822.59/1804.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1427.64, WCT time 590.37, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (13312 iterations)
Info:Linear Algebra: Lingen CPU time 2570.14, WCT time 870.8
Info:Linear Algebra: Mksol: CPU time 789.92,  WCT time 324.53, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (6656 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 303.82
Info:Polynomial Selection (root optimized): Rootsieve time: 302.64
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 32310.6/11722.5
Info:root: Cleaning up computation data in /tmp/cado.2jv4_y9i
3106290247300798218325170217288265817959481423141207477769464411384319 97393803553422764116435560492590995567735681
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10157+6

c126

name 名前Bob Backstrom
date 日付November 30, 2022 04:58:56 UTC 2022 年 11 月 30 日 (水) 13 時 58 分 56 秒 (日本時間)
composite number 合成数
343131525283125547238356066466565517114588217529907351662385096922249674459602036360667418127854937706958288749470162242566181<126>
prime factors 素因数
22458563209190656889987575445365881957859<41>
15278427301293555773574516549584611410964172556038238654497767907857798227813016297559<86>
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 343131525283125547238356066466565517114588217529907351662385096922249674459602036360667418127854937706958288749470162242566181 (126 digits)
Using B1=30950000, B2=144289975846, polynomial Dickson(12), sigma=1:1973363223
Step 1 took 48722ms
Step 2 took 19160ms
********** Factor found in step 2: 22458563209190656889987575445365881957859
Found prime factor of 41 digits: 22458563209190656889987575445365881957859
Prime cofactor 15278427301293555773574516549584611410964172556038238654497767907857798227813016297559 has 86 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10160+6

c158

name 名前Bob Backstrom
date 日付November 26, 2022 19:24:16 UTC 2022 年 11 月 27 日 (日) 4 時 24 分 16 秒 (日本時間)
composite number 合成数
15548645046645935139937805419813416259440248778320746334962239004886717014660151043980453131941359395824078187472234562416703687250111061750333185250999555753<158>
prime factors 素因数
105965441332299786524929928501369371069665377248753166203<57>
146733169334769571655606871976908688854354017738778414241243332086127701790752594303856187581764439851<102>
factorization results 素因数分解の結果
Number: n
N=15548645046645935139937805419813416259440248778320746334962239004886717014660151043980453131941359395824078187472234562416703687250111061750333185250999555753  ( 158 digits)
SNFS difficulty: 160 digits.
Divisors found:

Sun Nov 27 06:14:00 2022  p57 factor: 105965441332299786524929928501369371069665377248753166203
Sun Nov 27 06:14:00 2022  p102 factor: 146733169334769571655606871976908688854354017738778414241243332086127701790752594303856187581764439851
Sun Nov 27 06:14:00 2022  elapsed time 00:07:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 7x10^160+6 = 70(159)6
#
n: 15548645046645935139937805419813416259440248778320746334962239004886717014660151043980453131941359395824078187472234562416703687250111061750333185250999555753
m: 100000000000000000000000000000000
deg: 5
c5: 7
c0: 6
skew: 0.97
# Murphy_E = 5.85e-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 1339024 hash collisions in 13693329 relations (13218886 unique)
Msieve: matrix is 462422 x 462649 (157.6 MB)

Sieving start time : 2022/11/27 05:37:38
Sieving end time  : 2022/11/27 06:06:37

Total sieving time: 0hrs 28min 59secs.

Total relation processing time: 0hrs 3min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 47sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10163+6

c131

name 名前Eric Jeancolas
date 日付December 6, 2022 04:23:09 UTC 2022 年 12 月 6 日 (火) 13 時 23 分 9 秒 (日本時間)
composite number 合成数
93006846777063496740227505349535835647770697119432725864323037088951835743096872903482953643214949914150418977586802163895911079169<131>
prime factors 素因数
1192966515102412848336468679914007833959<40>
6321666467364397724292175936390159554105555503<46>
12332612568105634975105046545879299994295447897<47>
factorization results 素因数分解の結果
93006846777063496740227505349535835647770697119432725864323037088951835743096872903482953643214949914150418977586802163895911079169=1192966515102412848336468679914007833959*6321666467364397724292175936390159554105555503*12332612568105634975105046545879299994295447897

cado polynomial
n: 93006846777063496740227505349535835647770697119432725864323037088951835743096872903482953643214949914150418977586802163895911079169
skew: 0.24
type: snfs
c0: 3
c5: 3500
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 3500*x^5+3
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3700000
tasks.lim1 = 3700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1192966515102412848336468679914007833959 6321666467364397724292175936390159554105555503 12332612568105634975105046545879299994295447897
Info:Square Root: Total cpu/real time for sqrt: 225.33/69.9859
Info:Generate Free Relations: Total cpu/real time for freerel: 59.92/18.0467
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.24/42.5937
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 64.67/57.3046
Info:Filtering - Merging: Merged matrix has 528028 rows and total weight 89976687 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 110.47/31.1928
Info:Filtering - Merging: Total cpu/real time for replay: 16.97/14.6802
Info:Generate Factor Base: Total cpu/real time for makefb: 1.6/0.937043
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11620741
Info:Lattice Sieving: Average J: 1896.03 for 362175 special-q, max bucket fill -bkmult 1.0,1s:1.248330
Info:Lattice Sieving: Total time: 42959.1s
Info:Linear Algebra: Total cpu/real time for bwc: 4031.65/1080.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2517.21, WCT time 670.96, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations)
Info:Linear Algebra: Lingen CPU time 97.27, WCT time 25.33
Info:Linear Algebra: Mksol: CPU time 1368.32,  WCT time 362.99, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8320 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 17.16/6.8951
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.26/98.6556
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 84.5s
Info:Square Root: Total cpu/real time for sqrt: 225.33/69.9859
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 82846.1/23057.6
Info:root: Cleaning up computation data in /tmp/cado.jb6_nsww
1192966515102412848336468679914007833959 6321666467364397724292175936390159554105555503 12332612568105634975105046545879299994295447897
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10166+6

c138

name 名前Erik Branger
date 日付December 2, 2022 22:12:37 UTC 2022 年 12 月 3 日 (土) 7 時 12 分 37 秒 (日本時間)
composite number 合成数
142381354827150358790416101911162246187993727245804234010984458422990717929288397359038010216198341230261385921849938585628076399449262577<138>
prime factors 素因数
267619469128570286879498960600522099865749367893515336761019772112349<69>
532029135588589110456456924977799819899199669405344829046288188103973<69>
factorization results 素因数分解の結果
Number: 70006_166
N = 142381354827150358790416101911162246187993727245804234010984458422990717929288397359038010216198341230261385921849938585628076399449262577 (138 digits)
SNFS difficulty: 167 digits.
Divisors found:
r1=267619469128570286879498960600522099865749367893515336761019772112349 (pp69)
r2=532029135588589110456456924977799819899199669405344829046288188103973 (pp69)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 1.64 hours.
Factorization parameters were as follows:
n: 142381354827150358790416101911162246187993727245804234010984458422990717929288397359038010216198341230261385921849938585628076399449262577
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 35
c0: 3
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 10621463
Relations: 1397220 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 0.77 hours.
Total relation processing time: 0.10 hours.
Pruned matrix : 1261448 x 1261673
Matrix solve time: 0.73 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,167,3,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 1.64 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10172+6

c122

name 名前Eric Jeancolas
date 日付December 1, 2022 02:53:32 UTC 2022 年 12 月 1 日 (木) 11 時 53 分 32 秒 (日本時間)
composite number 合成数
20486478208239850727117983080331197921513953285711720629685619697710438421943031512816432906659863634872545582857985335279<122>
prime factors 素因数
20767863745364122451641068566511315922067248497727<50>
986450915675567082803904374271491039092040239824883535024826705522128977<72>
factorization results 素因数分解の結果
20486478208239850727117983080331197921513953285711720629685619697710438421943031512816432906659863634872545582857985335279=20767863745364122451641068566511315922067248497727*986450915675567082803904374271491039092040239824883535024826705522128977

cado polynomial
n: 20486478208239850727117983080331197921513953285711720629685619697710438421943031512816432906659863634872545582857985335279
skew: 31814.159
c0: 482917856013759054182980224
c1: 47631838800050350903360
c2: -1895377888482745052
c3: -13340590268649
c4: 463325092
c5: 21420
Y0: -247338465767984821731173
Y1: 402854784626936239
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.347e-06
# f(x) = 21420*x^5+463325092*x^4-13340590268649*x^3-1895377888482745052*x^2+47631838800050350903360*x+482917856013759054182980224
# g(x) = 402854784626936239*x-247338465767984821731173

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

cado log (extracts)
Info:Square Root: Factors: 986450915675567082803904374271491039092040239824883535024826705522128977 20767863745364122451641068566511315922067248497727
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 474.16/139.511
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 24.97/9.83409
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.26/50.4886
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 126.22/114.661
Info:Filtering - Merging: Merged matrix has 784849 rows and total weight 79394302 (101.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 63.28/19.9069
Info:Filtering - Merging: Total cpu/real time for replay: 18.58/15.5465
Info:Generate Factor Base: Total cpu/real time for makefb: 4.86/1.30889
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13999176
Info:Lattice Sieving: Average J: 1894.84 for 329430 special-q, max bucket fill -bkmult 1.0,1s:1.264390
Info:Lattice Sieving: Total time: 37577.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 223.2/257.639
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 205.09999999999994s
Info:Linear Algebra: Total cpu/real time for bwc: 7007.04/1927.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4378.1, WCT time 1150.77, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Linear Algebra: Lingen CPU time 106.44, WCT time 108.48
Info:Linear Algebra: Mksol: CPU time 2424.54,  WCT time 635.27, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1986.11
Info:Polynomial Selection (root optimized): Rootsieve time: 1983.64
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21505.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14494/35.230/43.408/50.310/1.055
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11604/34.210/38.379/43.850/0.819
Info:Polynomial Selection (size optimized): Total time: 2072.12
Info:Square Root: Total cpu/real time for sqrt: 474.16/139.511
Info:Generate Free Relations: Total cpu/real time for freerel: 125.18/32.432
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 82113.6/22352.6
Info:root: Cleaning up computation data in /tmp/cado.esl8zpng
986450915675567082803904374271491039092040239824883535024826705522128977 20767863745364122451641068566511315922067248497727
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10174+6

c133

name 名前Eric Jeancolas
date 日付December 10, 2022 09:55:21 UTC 2022 年 12 月 10 日 (土) 18 時 55 分 21 秒 (日本時間)
composite number 合成数
1592418416683202237051816322674736848213997861611869573132304497109161396507546051695226934074835758172993120253365420422658996002849<133>
prime factors 素因数
1396311975746780622334572332504919539328142395370705616073397279<64>
1140446006582117337006613413273817010789325109843620422732348001616831<70>
factorization results 素因数分解の結果
1592418416683202237051816322674736848213997861611869573132304497109161396507546051695226934074835758172993120253365420422658996002849=1396311975746780622334572332504919539328142395370705616073397279*1140446006582117337006613413273817010789325109843620422732348001616831

cado polynomial
n: 1592418416683202237051816322674736848213997861611869573132304497109161396507546051695226934074835758172993120253365420422658996002849
skew: 0.77
type: snfs
c0: 15
c5: 56
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 56*x^5+15
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5800000
tasks.lim1 = 5800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1140446006582117337006613413273817010789325109843620422732348001616831 1396311975746780622334572332504919539328142395370705616073397279
Info:Square Root: Total cpu/real time for sqrt: 179.82/34.8988
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.67/0.685902
Info:Generate Free Relations: Total cpu/real time for freerel: 101/12.9301
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22419013
Info:Lattice Sieving: Average J: 1893.11 for 817407 special-q, max bucket fill -bkmult 1.0,1s:1.123950
Info:Lattice Sieving: Total time: 138139s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.66/40.4013
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 244.05/72.7629
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 176.3/66.1339
Info:Filtering - Merging: Merged matrix has 753114 rows and total weight 128355900 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 148.16/21.7321
Info:Filtering - Merging: Total cpu/real time for replay: 22.81/18.9882
Info:Linear Algebra: Total cpu/real time for bwc: 5612.83/1464.43
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 909.89, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23552 iterations)
Info:Linear Algebra: Lingen CPU time 74.48, WCT time 20.17
Info:Linear Algebra: Mksol: WCT time 510.28, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 29.92/7.57184
Info:Square Root: Total cpu/real time for sqrt: 179.82/34.8988
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 275073/71113.1
Info:root: Cleaning up computation data in /tmp/cado.gn075url
1140446006582117337006613413273817010789325109843620422732348001616831 1396311975746780622334572332504919539328142395370705616073397279
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10175+6

c138

name 名前Eric Jeancolas
date 日付December 11, 2022 08:44:50 UTC 2022 年 12 月 11 日 (日) 17 時 44 分 50 秒 (日本時間)
composite number 合成数
462795255269657916043787550391044037110242019052899506056100509900284082014980259255752786018667692838823954190287796282423335470723416927<138>
prime factors 素因数
2056367517696346616723382909608508932768276113780787669<55>
225054739139288694505565059120350510707666800751828117605050396317239713774883331683<84>
factorization results 素因数分解の結果
462795255269657916043787550391044037110242019052899506056100509900284082014980259255752786018667692838823954190287796282423335470723416927=2056367517696346616723382909608508932768276113780787669*225054739139288694505565059120350510707666800751828117605050396317239713774883331683

cado polynomial
n: 462795255269657916043787550391044037110242019052899506056100509900284082014980259255752786018667692838823954190287796282423335470723416927
skew: 0.97
type: snfs
c0: 6
c5: 7
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5+6
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6000000
tasks.lim1 = 6000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2056367517696346616723382909608508932768276113780787669 225054739139288694505565059120350510707666800751828117605050396317239713774883331683
Info:Square Root: Total cpu/real time for sqrt: 162.04/53.9702
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 232.03/235.258
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 221.6s
Info:Square Root: Total cpu/real time for sqrt: 162.04/53.9702
Info:Generate Free Relations: Total cpu/real time for freerel: 119.57/33.0807
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.88/86.811
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 148.67/129.267
Info:Filtering - Merging: Merged matrix has 809764 rows and total weight 137850360 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 186.96/52.5759
Info:Filtering - Merging: Total cpu/real time for replay: 26.82/23.2988
Info:Generate Factor Base: Total cpu/real time for makefb: 2.54/1.49387
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22421787
Info:Lattice Sieving: Average J: 1893.39 for 903357 special-q, max bucket fill -bkmult 1.0,1s:1.182820
Info:Lattice Sieving: Total time: 142700s
Info:Linear Algebra: Total cpu/real time for bwc: 10059.8/2726.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6331.54, WCT time 1706.53, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 151.09, WCT time 39.53
Info:Linear Algebra: Mksol: CPU time 3451.01,  WCT time 932.47, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 25.74/10.4156
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 272283/75000.2
Info:root: Cleaning up computation data in /tmp/cado.uzwy7x5d
2056367517696346616723382909608508932768276113780787669 225054739139288694505565059120350510707666800751828117605050396317239713774883331683
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10176+6

c153

name 名前Bob Backstrom
date 日付December 3, 2022 08:11:56 UTC 2022 年 12 月 3 日 (土) 17 時 11 分 56 秒 (日本時間)
composite number 合成数
155053832289128352235523712436746990944192197056171224042259137065198048807330303276240135714912968865788303136218041642025148493736377022683380787511463<153>
prime factors 素因数
96973228761976839955076494634793406828629779<44>
1752548866693157234824752612610222819639832793581287<52>
912347975059046961933453593501922392347256203882618771931<57>
factorization results 素因数分解の結果
Number: n
N=155053832289128352235523712436746990944192197056171224042259137065198048807330303276240135714912968865788303136218041642025148493736377022683380787511463  ( 153 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Dec  3 17:27:36 2022  found factor: 96973228761976839955076494634793406828629779
Sat Dec  3 17:28:32 2022  p44 factor: 96973228761976839955076494634793406828629779
Sat Dec  3 17:28:32 2022  p52 factor: 1752548866693157234824752612610222819639832793581287
Sat Dec  3 17:28:32 2022  p57 factor: 912347975059046961933453593501922392347256203882618771931
Sat Dec  3 17:28:32 2022  elapsed time 00:20:09 (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 = 7x10^176+6 = 70(175)6
#
n: 155053832289128352235523712436746990944192197056171224042259137065198048807330303276240135714912968865788303136218041642025148493736377022683380787511463
m: 100000000000000000000000000000000000
deg: 5
c5: 35
c0: 3
skew: 0.61
# Murphy_E = 1.573e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 44650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1254636 hash collisions in 13876020 relations (13521580 unique)
Msieve: matrix is 953269 x 953495 (326.1 MB)

Sieving start time : 2022/12/03 11:55:17
Sieving end time  : 2022/12/03 17:07:17

Total sieving time: 5hrs 12min 0secs.

Total relation processing time: 0hrs 13min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 48sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10178+6

c145

name 名前Eric Jeancolas
date 日付December 14, 2022 13:58:46 UTC 2022 年 12 月 14 日 (水) 22 時 58 分 46 秒 (日本時間)
composite number 合成数
6232131727270008163976651452196090375429467098493050584293283096079193885437386759222473646511023724428584328061602805575992269952494197398430807<145>
prime factors 素因数
19054551433617333129681835293145732822339102115527987125599981037503<68>
327067879240382343062359806215052615281514449906415739249302342878255447697769<78>
factorization results 素因数分解の結果
6232131727270008163976651452196090375429467098493050584293283096079193885437386759222473646511023724428584328061602805575992269952494197398430807=19054551433617333129681835293145732822339102115527987125599981037503*327067879240382343062359806215052615281514449906415739249302342878255447697769

cado polynomial
n: 6232131727270008163976651452196090375429467098493050584293283096079193885437386759222473646511023724428584328061602805575992269952494197398430807
skew: 0.24
type: snfs
c0: 3
c5: 3500
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 3500*x^5+3
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6600000
tasks.lim1 = 6600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 327067879240382343062359806215052615281514449906415739249302342878255447697769 19054551433617333129681835293145732822339102115527987125599981037503
Info:Square Root: Total cpu/real time for sqrt: 335.62/62.1584
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.96/0.802547
Info:Generate Free Relations: Total cpu/real time for freerel: 99.59/12.6961
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22425483
Info:Lattice Sieving: Average J: 1896.48 for 1082379 special-q, max bucket fill -bkmult 1.0,1s:1.129020
Info:Lattice Sieving: Total time: 176830s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.14/40.4365
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 252.07/74.5964
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 133.29/54.0148
Info:Filtering - Merging: Merged matrix has 1139209 rows and total weight 193848401 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 233.67/34.7766
Info:Filtering - Merging: Total cpu/real time for replay: 36.44/30.0915
Info:Linear Algebra: Total cpu/real time for bwc: 13316.9/3470.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2193.31, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Linear Algebra: Lingen CPU time 124.14, WCT time 33.77
Info:Linear Algebra: Mksol: WCT time 1204.0, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17920 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 48.45/12.0993
Info:Square Root: Total cpu/real time for sqrt: 335.62/62.1584
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 372195/92556.6
Info:root: Cleaning up computation data in /tmp/cado.8i8mvzsr
327067879240382343062359806215052615281514449906415739249302342878255447697769 19054551433617333129681835293145732822339102115527987125599981037503
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10179+6

c172

name 名前Bob Backstrom
date 日付December 5, 2022 01:44:36 UTC 2022 年 12 月 5 日 (月) 10 時 44 分 36 秒 (日本時間)
composite number 合成数
1338118071432512322834457670475678379314823370345284125726010774534357563568837819183645285422171262268148439486896255128619469358726756645370568535744763811130476058481311<172>
prime factors 素因数
244766551836755062493568825431498604565963243958455957527597033804101<69>
5466915562568200136262243582781004017979076250553978045811368966886477250621578370765113509616240216211<103>
factorization results 素因数分解の結果
Number: n
N=1338118071432512322834457670475678379314823370345284125726010774534357563568837819183645285422171262268148439486896255128619469358726756645370568535744763811130476058481311  ( 172 digits)
SNFS difficulty: 180 digits.
Divisors found:

Mon Dec  5 12:18:27 2022  p69 factor: 244766551836755062493568825431498604565963243958455957527597033804101
Mon Dec  5 12:18:27 2022  p103 factor: 5466915562568200136262243582781004017979076250553978045811368966886477250621578370765113509616240216211
Mon Dec  5 12:18:27 2022  elapsed time 00:12:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 7x10^179+6 = 70(178)6
#
n: 1338118071432512322834457670475678379314823370345284125726010774534357563568837819183645285422171262268148439486896255128619469358726756645370568535744763811130476058481311
m: 500000000000000000000000000000000000
deg: 5
c5: 56
c0: 15
skew: 0.77
# Murphy_E = 9.595e-11
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 9150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1541593 hash collisions in 12438149 relations (11580751 unique)
Msieve: matrix is 729464 x 729689 (252.2 MB)

Sieving start time : 2022/12/05 09:13:35
Sieving end time  : 2022/12/05 12:05:22

Total sieving time: 2hrs 51min 47secs.

Total relation processing time: 0hrs 8min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7100000,7100000,27,27,50,50,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10181+6

c136

name 名前Eric Jeancolas
date 日付December 15, 2022 21:50:46 UTC 2022 年 12 月 16 日 (金) 6 時 50 分 46 秒 (日本時間)
composite number 合成数
7640792580553673904868495111787841169381986882307719733621839014313888590717929642719270826515744603178934181953958292788716078612197429<136>
prime factors 素因数
217508582235908530198505069957818376630479770572787940049<57>
35128694702568173470017960414227545143170068755598531805816690651642366054723621<80>
factorization results 素因数分解の結果
7640792580553673904868495111787841169381986882307719733621839014313888590717929642719270826515744603178934181953958292788716078612197429=217508582235908530198505069957818376630479770572787940049*35128694702568173470017960414227545143170068755598531805816690651642366054723621

cado polynomial
n: 7640792580553673904868495111787841169381986882307719733621839014313888590717929642719270826515744603178934181953958292788716078612197429
skew: 0.61
type: snfs
c0: 3
c5: 35
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 35*x^5+3
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7400000
tasks.lim1 = 7400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 217508582235908530198505069957818376630479770572787940049 35128694702568173470017960414227545143170068755598531805816690651642366054723621
Info:Square Root: Total cpu/real time for sqrt: 264.36/51.852
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.3/0.835524
Info:Generate Free Relations: Total cpu/real time for freerel: 98.04/12.5021
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22409557
Info:Lattice Sieving: Average J: 1894.59 for 929725 special-q, max bucket fill -bkmult 1.0,1s:1.133620
Info:Lattice Sieving: Total time: 167136s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.44/40.7785
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 248.87/74.2475
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 141.3/56.0884
Info:Filtering - Merging: Merged matrix has 1066572 rows and total weight 181565346 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 217.2/32.2775
Info:Filtering - Merging: Total cpu/real time for replay: 33.92/28.0996
Info:Linear Algebra: Total cpu/real time for bwc: 11562.4/3013.98
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1900.29, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33536 iterations)
Info:Linear Algebra: Lingen CPU time 116.55, WCT time 31.67
Info:Linear Algebra: Mksol: WCT time 1045.37, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16896 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 47.54/11.5
Info:Square Root: Total cpu/real time for sqrt: 264.36/51.852
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 349761/87232.6
Info:root: Cleaning up computation data in /tmp/cado.zi4t9rvh
217508582235908530198505069957818376630479770572787940049 35128694702568173470017960414227545143170068755598531805816690651642366054723621
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10186+6

c178

name 名前Bob Backstrom
date 日付January 17, 2023 04:23:12 UTC 2023 年 1 月 17 日 (火) 13 時 23 分 12 秒 (日本時間)
composite number 合成数
2860302800594960307786429633493441670140415884807322783130425400389129159000506936368725674406709516557823414370241849005120204343693262088725937456499646702344520169090542967693<178>
prime factors 素因数
27877987718020476770108381721824889411839323773202915941239314836560819640631599283691563<89>
102600762634888659776868131021273107218713912499304915791534470426350179561790361385033511<90>
factorization results 素因数分解の結果
Number: n
N=2860302800594960307786429633493441670140415884807322783130425400389129159000506936368725674406709516557823414370241849005120204343693262088725937456499646702344520169090542967693  ( 178 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Dec  7 02:50:50 2022  p89 factor: 27877987718020476770108381721824889411839323773202915941239314836560819640631599283691563
Wed Dec  7 02:50:50 2022  p90 factor: 102600762634888659776868131021273107218713912499304915791534470426350179561790361385033511
Wed Dec  7 02:50:50 2022  elapsed time 00:27:55 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 7x10^186+6 = 70(185)6
#
n: 2860302800594960307786429633493441670140415884807322783130425400389129159000506936368725674406709516557823414370241849005120204343693262088725937456499646702344520169090542967693
m: 10000000000000000000000000000000000000
deg: 5
c5: 35
c0: 3
skew: 0.61
# Murphy_E = 6.184e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 10100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1300848 hash collisions in 12573673 relations (12034214 unique)
Msieve: matrix is 1115275 x 1115500 (388.0 MB)

Sieving start time : 2022/12/06 23:38:18
Sieving end time  : 2022/12/07 02:22:37

Total sieving time: 2hrs 44min 19secs.

Total relation processing time: 0hrs 20min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 59sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10187+6

c146

name 名前Bob Backstrom
date 日付December 7, 2022 20:17:40 UTC 2022 年 12 月 8 日 (木) 5 時 17 分 40 秒 (日本時間)
composite number 合成数
35080727465025928178655807688044919357452067597604749104956163448336569742362088896336478038163220937306106085655735031289716273491855024036434419<146>
prime factors 素因数
16706204822970798667215370281740869541<38>
8956956009599960157900102424745970615146996591<46>
234439263175563973275417322549346422549530672955114028846574649<63>
factorization results 素因数分解の結果
Number: n
N=2099862167186554369745959628400906690832855815413050088390243596110983294345984475729993865814661270430021559  ( 109 digits)
Divisors found:

Thu Dec  8 07:12:54 2022  p46 factor: 8956956009599960157900102424745970615146996591
Thu Dec  8 07:12:54 2022  p63 factor: 234439263175563973275417322549346422549530672955114028846574649
Thu Dec  8 07:12:54 2022  elapsed time 00:05:07 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 7x10^187+6 = 70(186)6
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 35080727465025928178655807688044919357452067597604749104956163448336569742362088896336478038163220937306106085655735031289716273491855024036434419 (146 digits)
# Using B1=27400000, B2=144286522396, polynomial Dickson(12), sigma=1:2836205167
# Step 1 took 55025ms
# Step 2 took 22560ms
# ********** Factor found in step 2: 16706204822970798667215370281740869541
# Found prime factor of 38 digits: 16706204822970798667215370281740869541
# Composite cofactor 2099862167186554369745959628400906690832855815413050088390243596110983294345984475729993865814661270430021559 has 109 digits
#

n: 2099862167186554369745959628400906690832855815413050088390243596110983294345984475729993865814661270430021559

Y0: -1709050824517379197806
Y1: 737407052801
c0: 347406535243633503970428745
c1: 75402192226555751849339
c2: -256472959414066641
c3: -9498690388907
c4: 41047544
c5: 144

# skew 134805.34, size 2.482e-10, alpha -6.067, combined = 1.291e-09 rroots = 3

skew: 134805.34

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

Msieve: found 967292 hash collisions in 9269052 relations (8526999 unique)
Msieve: matrix is 290994 x 291242 (96.2 MB)

Sieving start time : 2022/12/08 06:45:13
Sieving end time  : 2022/12/08 07:07:31

Total sieving time: 0hrs 22min 18secs.

Total relation processing time: 0hrs 1min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10189+6

c142

name 名前Eric Jeancolas
date 日付June 22, 2023 18:51:29 UTC 2023 年 6 月 23 日 (金) 3 時 51 分 29 秒 (日本時間)
composite number 合成数
1966448829305129048613074379805356296255006282125223123217368690927598636155378334597402257459707816139839948278161495331909108055953344316287<142>
prime factors 素因数
5414305173642162367153730821850644665702863899510942021400396610460441<70>
363195048346769436268752265348772058360821010056492521342792442164805207<72>
factorization results 素因数分解の結果
1966448829305129048613074379805356296255006282125223123217368690927598636155378334597402257459707816139839948278161495331909108055953344316287=5414305173642162367153730821850644665702863899510942021400396610460441*363195048346769436268752265348772058360821010056492521342792442164805207

cado polynomial
n: 1966448829305129048613074379805356296255006282125223123217368690927598636155378334597402257459707816139839948278161495331909108055953344316287
skew: 0.77
type: snfs
c0: 15
c5: 56
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 56*x^5+15
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10400000
tasks.lim1 = 10400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5414305173642162367153730821850644665702863899510942021400396610460441 363195048346769436268752265348772058360821010056492521342792442164805207
Info:Square Root: Total cpu/real time for sqrt: 502.89/165.789
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25417638
Info:Lattice Sieving: Average J: 1894.03 for 2071109 special-q, max bucket fill -bkmult 1.0,1s:1.176050
Info:Lattice Sieving: Total time: 398561s
Info:Linear Algebra: Total cpu/real time for bwc: 65757.6/16951.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 42143.64, WCT time 10785.37, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62208 iterations)
Info:Linear Algebra: Lingen CPU time 406.09, WCT time 103.34
Info:Linear Algebra: Mksol: CPU time 22827.93,  WCT time 5885.19, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31232 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.38/2.13705
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 455.24/471.281
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 388.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 120.53/31.5717
Info:Square Root: Total cpu/real time for sqrt: 502.89/165.789
Info:Quadratic Characters: Total cpu/real time for characters: 70.01/31.6093
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 107.24/103.462
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.69999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 341.97/338.595
Info:Filtering - Merging: Merged matrix has 1984555 rows and total weight 337636805 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 526.54/144.293
Info:Filtering - Merging: Total cpu/real time for replay: 74.15/65.3914
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 817983/217511
Info:root: Cleaning up computation data in /tmp/cado.vfxk04dp
5414305173642162367153730821850644665702863899510942021400396610460441 363195048346769436268752265348772058360821010056492521342792442164805207
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 9, 2022 17:36:39 UTC 2022 年 12 月 10 日 (土) 2 時 36 分 39 秒 (日本時間)

7×10191+6

c181

name 名前Bob Backstrom
date 日付December 10, 2022 15:06:44 UTC 2022 年 12 月 11 日 (日) 0 時 6 分 44 秒 (日本時間)
composite number 合成数
1133971588049160681971863839720918298083278092366140025160121549860237677295070822737132640376786682475614395000727669130662105304945081979658575093811553148321230712919811722498431<181>
prime factors 素因数
4055556013826477199975396708935052074895907<43>
3016329922240293366372605199968472211725646980190021019705141688679<67>
92698547003304761796303768121981377208400000102327414595189566611157827<71>
factorization results 素因数分解の結果
Number: n
N=1133971588049160681971863839720918298083278092366140025160121549860237677295070822737132640376786682475614395000727669130662105304945081979658575093811553148321230712919811722498431  ( 181 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sun Dec 11 01:49:29 2022  found factor: 3016329922240293366372605199968472211725646980190021019705141688679
Sun Dec 11 01:51:09 2022  p43 factor: 4055556013826477199975396708935052074895907
Sun Dec 11 01:51:09 2022  p67 factor: 3016329922240293366372605199968472211725646980190021019705141688679
Sun Dec 11 01:51:09 2022  p71 factor: 92698547003304761796303768121981377208400000102327414595189566611157827
Sun Dec 11 01:51:09 2022  elapsed time 00:44:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 7x10^191+6 = 70(190)6
#
n: 1133971588049160681971863839720918298083278092366140025160121549860237677295070822737132640376786682475614395000727669130662105304945081979658575093811553148321230712919811722498431
m: 100000000000000000000000000000000000000
deg: 5
c5: 35
c0: 3
skew: 0.61
# Murphy_E = 3.853e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 18250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1395881 hash collisions in 12102750 relations (11401173 unique)
Msieve: matrix is 1453006 x 1453231 (505.9 MB)

Sieving start time : 2022/12/10 21:09:02
Sieving end time  : 2022/12/11 01:05:53

Total sieving time: 3hrs 56min 51secs.

Total relation processing time: 0hrs 37min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 21sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 8, 2022 20:59:07 UTC 2022 年 12 月 9 日 (金) 5 時 59 分 7 秒 (日本時間)
2350Ignacio SantosDecember 9, 2022 17:18:56 UTC 2022 年 12 月 10 日 (土) 2 時 18 分 56 秒 (日本時間)

7×10192+6

c156

name 名前Bob Backstrom
date 日付December 15, 2022 00:59:30 UTC 2022 年 12 月 15 日 (木) 9 時 59 分 30 秒 (日本時間)
composite number 合成数
100491291056872092060611736727766221977541988481599091674909867058233168695549540403807119249127294329870266275244184528037303819249306671268861404074483301<156>
prime factors 素因数
2378293108698102732649178065953689907764471<43>
15266017825701653807384172826107203753306671303027666459<56>
2767816431282963223471413908379707524488740138980490836409<58>
factorization results 素因数分解の結果
Number: n
N=42253534978235653125484228003819172358731594705011203236208004890515096567555882715186961284374865922452385305731  ( 113 digits)
Divisors found:

Thu Dec 15 11:55:48 2022  p56 factor: 15266017825701653807384172826107203753306671303027666459
Thu Dec 15 11:55:48 2022  p58 factor: 2767816431282963223471413908379707524488740138980490836409
Thu Dec 15 11:55:48 2022  elapsed time 00:04:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 7x10^192+6 = 70(191)6 
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 100491291056872092060611736727766221977541988481599091674909867058233168695549540403807119249127294329870266275244184528037303819249306671268861404074483301 (156 digits)
# Using B1=24260000, B2=96189633556, polynomial Dickson(12), sigma=1:1166719776
# Step 1 took 58467ms
# ********** Factor found in step 1: 2378293108698102732649178065953689907764471
# Found prime factor of 43 digits: 2378293108698102732649178065953689907764471
# Composite cofactor 42253534978235653125484228003819172358731594705011203236208004890515096567555882715186961284374865922452385305731 has 113 digits
#

n: 42253534978235653125484228003819172358731594705011203236208004890515096567555882715186961284374865922452385305731

Y0: -12621352638712888447099
Y1: 7478226870797
c0: -20521839838199437874463481728
c1: -427835218732976403464136
c2: 740809035629877048
c3: 11420543742484
c4: -123285865
c5: 132

# skew 217117.27, size 9.191e-11, alpha -6.258, combined = 7.476e-10 rroots = 3

skew: 217117.27

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1089658 hash collisions in 10405293 relations (9598411 unique)
Msieve: matrix is 386567 x 386815 (64.8 MB)

Sieving start time : 2022/12/15 11:21:53
Sieving end time  : 2022/12/15 11:51:16

Total sieving time: 0hrs 29min 23secs.

Total relation processing time: 0hrs 1min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 18sec.

Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 8, 2022 20:59:31 UTC 2022 年 12 月 9 日 (金) 5 時 59 分 31 秒 (日本時間)
2350Ignacio SantosDecember 9, 2022 11:47:36 UTC 2022 年 12 月 9 日 (金) 20 時 47 分 36 秒 (日本時間)

7×10195+6

c164

name 名前Bob Backstrom
date 日付December 15, 2022 00:27:28 UTC 2022 年 12 月 15 日 (木) 9 時 27 分 28 秒 (日本時間)
composite number 合成数
25974520963744641300843897549091389374789171691417228559519329171032913160366295391326396402354711336233574402983555571860641466035373399787282657030890540967030953<164>
prime factors 素因数
6292903213190297081973998907985492252519165566580883355472993<61>
4127589458121731495217371727605301386777583789653589918254197328378554647919675021583679583149344571721<103>
factorization results 素因数分解の結果
Number: n
N=25974520963744641300843897549091389374789171691417228559519329171032913160366295391326396402354711336233574402983555571860641466035373399787282657030890540967030953  ( 164 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Dec 15 11:14:14 2022  p61 factor: 6292903213190297081973998907985492252519165566580883355472993
Thu Dec 15 11:14:14 2022  p103 factor: 4127589458121731495217371727605301386777583789653589918254197328378554647919675021583679583149344571721
Thu Dec 15 11:14:14 2022  elapsed time 01:14:01 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 7x10^195+6 = 70(194)6
#
n: 25974520963744641300843897549091389374789171691417228559519329171032913160366295391326396402354711336233574402983555571860641466035373399787282657030890540967030953
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 6
skew: 0.97
# Murphy_E = 2.276e-11
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1897574 hash collisions in 13795100 relations (12613551 unique)
Msieve: matrix is 1814417 x 1814642 (630.8 MB)

Sieving start time : 2022/12/15 03:08:27
Sieving end time  : 2022/12/15 09:59:52

Total sieving time: 6hrs 51min 25secs.

Total relation processing time: 1hrs 3min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 22sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12900000,12900000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 8, 2022 20:59:42 UTC 2022 年 12 月 9 日 (金) 5 時 59 分 42 秒 (日本時間)

7×10196+6

c133

name 名前Ignacio Santos
date 日付November 26, 2022 14:23:17 UTC 2022 年 11 月 26 日 (土) 23 時 23 分 17 秒 (日本時間)
composite number 合成数
2258765804562138081416784162855307650435387203111275827576079971801779552510571911686049239975248940820886006953071188858178883183617<133>
prime factors 素因数
458733762700539034610004603041894085811009<42>
4923914453701674139080186462357566063038366782289997506902107615019579482782401872190904513<91>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2862574035
Step 1 took 4407ms
Step 2 took 2484ms
********** Factor found in step 2: 458733762700539034610004603041894085811009
Found prime factor of 42 digits: 458733762700539034610004603041894085811009
Prime cofactor 4923914453701674139080186462357566063038366782289997506902107615019579482782401872190904513 has 91 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10197+6

c160

name 名前Dmitry Domanov
date 日付December 8, 2022 22:31:46 UTC 2022 年 12 月 9 日 (金) 7 時 31 分 46 秒 (日本時間)
composite number 合成数
1331046070828506374003763399786863074446292840142321445793810117956051539110737326681904819545203410882184529761293971944909020771425361434195837743305904246963<160>
prime factors 素因数
49750403429886460559306590060467458203<38>
composite cofactor 合成数の残り
26754477935125843108455809466189595900174540251580766566660602323790751074245715889366488237770899070403439054221066814921<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2513864622
Step 1 took 8414ms
Step 2 took 4587ms
********** Factor found in step 2: 49750403429886460559306590060467458203
Found prime factor of 38 digits: 49750403429886460559306590060467458203
Composite cofactor 26754477935125843108455809466189595900174540251580766566660602323790751074245715889366488237770899070403439054221066814921 has 122 digits

c122

name 名前Eric Jeancolas
date 日付December 11, 2022 08:39:36 UTC 2022 年 12 月 11 日 (日) 17 時 39 分 36 秒 (日本時間)
composite number 合成数
26754477935125843108455809466189595900174540251580766566660602323790751074245715889366488237770899070403439054221066814921<122>
prime factors 素因数
37189683506889858583513205215574217949232340493<47>
719405905408397416343908211645496079198285554508852496336723405340780794797<75>
factorization results 素因数分解の結果
26754477935125843108455809466189595900174540251580766566660602323790751074245715889366488237770899070403439054221066814921=37189683506889858583513205215574217949232340493*719405905408397416343908211645496079198285554508852496336723405340780794797

cado polynomial
n: 26754477935125843108455809466189595900174540251580766566660602323790751074245715889366488237770899070403439054221066814921
skew: 34799.398
c0: -4956460341174696519592929774
c1: -229521277957081218712663
c2: 27667298813797700334
c3: 142454864477080
c4: -5412351216
c5: 100800
Y0: -241470611685099050629947
Y1: 137565861924888769
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.295e-06
# f(x) = 100800*x^5-5412351216*x^4+142454864477080*x^3+27667298813797700334*x^2-229521277957081218712663*x-4956460341174696519592929774
# g(x) = 137565861924888769*x-241470611685099050629947

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

cado log (extracts)
Info:Square Root: Factors: 37189683506889858583513205215574217949232340493 719405905408397416343908211645496079198285554508852496336723405340780794797
Info:Square Root: Total cpu/real time for sqrt: 424.86/125.636
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20008/35.690/43.475/48.670/1.047
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16082/33.760/38.491/43.870/0.872
Info:Polynomial Selection (size optimized): Total time: 2246.33
Info:Linear Algebra: Total cpu/real time for bwc: 5280.36/1432.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3209.96, WCT time 864.77, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Linear Algebra: Lingen CPU time 131.13, WCT time 34.26
Info:Linear Algebra: Mksol: CPU time 1863.54,  WCT time 506.07, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 23.34/9.13005
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 161.49/166.647
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 150.2s
Info:Square Root: Total cpu/real time for sqrt: 424.86/125.636
Info:Generate Free Relations: Total cpu/real time for freerel: 126.42/33.274
Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.2/64.2968
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.48/54.2101
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 54.0s
Info:Filtering - Merging: Merged matrix has 744353 rows and total weight 75091883 (100.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.11/17.7204
Info:Filtering - Merging: Total cpu/real time for replay: 17.98/14.6504
Info:Generate Factor Base: Total cpu/real time for makefb: 5.17/1.49558
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13588695
Info:Lattice Sieving: Average J: 1892.8 for 282249 special-q, max bucket fill -bkmult 1.0,1s:1.267510
Info:Lattice Sieving: Total time: 34750.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2005.75
Info:Polynomial Selection (root optimized): Rootsieve time: 2003.24
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 73771.5/20505.9
Info:root: Cleaning up computation data in /tmp/cado.kugjpasv
37189683506889858583513205215574217949232340493 719405905408397416343908211645496079198285554508852496336723405340780794797
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 8, 2022 20:59:52 UTC 2022 年 12 月 9 日 (金) 5 時 59 分 52 秒 (日本時間)

7×10203+6

c200

name 名前Bob Backstrom
date 日付July 21, 2023 03:53:21 UTC 2023 年 7 月 21 日 (金) 12 時 53 分 21 秒 (日本時間)
composite number 合成数
64090825856070316791796374290422999450650064090825856070316791796374290422999450650064090825856070316791796374290422999450650064090825856070316791796374290422999450650064090825856070316791796374290423<200>
prime factors 素因数
196003666495340700245425189370515747380626463998913002604889369512319478054131547<81>
326987892635130125995373513151247916193169955300096208181219344243509198209789000376781621407516977231847543207153039509<120>
factorization results 素因数分解の結果
Number: n
N=64090825856070316791796374290422999450650064090825856070316791796374290422999450650064090825856070316791796374290422999450650064090825856070316791796374290422999450650064090825856070316791796374290423  ( 200 digits)
SNFS difficulty: 203 digits.
Divisors found:

Fri Jul 21 13:34:29 2023  prp81 factor: 196003666495340700245425189370515747380626463998913002604889369512319478054131547
Fri Jul 21 13:34:29 2023  prp120 factor: 326987892635130125995373513151247916193169955300096208181219344243509198209789000376781621407516977231847543207153039509
Fri Jul 21 13:34:29 2023  elapsed time 03:56:22 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 7x10^203+6 = 70(202)6
#
n: 64090825856070316791796374290422999450650064090825856070316791796374290422999450650064090825856070316791796374290422999450650064090825856070316791796374290422999450650064090825856070316791796374290423
m: 10000000000000000000000000000000000000000
deg: 5
c5: 3500
c0: 3
skew: 0.24
# Murphy_E = 9.045e-12
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2982723 hash collisions in 16345232 relations (13966576 unique)
Msieve: matrix is 2657240 x 2657465 (751.7 MB)

Sieving start time: 2023/07/20 18:25:12
Sieving end time  : 2023/07/21 09:37:45

Total sieving time: 15hrs 12min 33secs.

Total relation processing time: 3hrs 48min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 30sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 25, 2022 23:31:16 UTC 2022 年 12 月 26 日 (月) 8 時 31 分 16 秒 (日本時間)
2350Ignacio SantosJuly 19, 2023 07:53:57 UTC 2023 年 7 月 19 日 (水) 16 時 53 分 57 秒 (日本時間)

7×10204+6

c153

name 名前Dmitry Domanov
date 日付December 23, 2022 15:51:26 UTC 2022 年 12 月 24 日 (土) 0 時 51 分 26 秒 (日本時間)
composite number 合成数
116728078975756229583901762901602173552421061264783856577624287941261004531005935201708882652115711506126290442564378633766173827002231850341565801175473<153>
prime factors 素因数
56489379046644736282695777539534716547<38>
2066372138369070159680217698898146270131625844407383125625952148603816519785675306341443773632328633411508060393659<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2604425939
Step 1 took 6461ms
Step 2 took 3596ms
********** Factor found in step 2: 56489379046644736282695777539534716547
Found prime factor of 38 digits: 56489379046644736282695777539534716547
Prime cofactor 2066372138369070159680217698898146270131625844407383125625952148603816519785675306341443773632328633411508060393659 has 115 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 23, 2022 14:51:26 UTC 2022 年 12 月 23 日 (金) 23 時 51 分 26 秒 (日本時間)

7×10207+6

c157

composite cofactor 合成数の残り
2620782661241451306209844891765952487000501018587047789524432165529704427174661938574946255444033887138258262255776056094799800418044200186451450525134181903<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 23, 2022 14:51:41 UTC 2022 年 12 月 23 日 (金) 23 時 51 分 41 秒 (日本時間)

7×10208+6

c207

name 名前Dmitry Domanov
date 日付February 10, 2024 17:29:23 UTC 2024 年 2 月 11 日 (日) 2 時 29 分 23 秒 (日本時間)
composite number 合成数
175879396984924623115577889447236180904522613065326633165829145728643216080402010050251256281407035175879396984924623115577889447236180904522613065326633165829145728643216080402010050251256281407035175879397<207>
prime factors 素因数
758791513060633294711741372109852133207929978093<48>
composite cofactor 合成数の残り
231788829945532749624468583621937170728570687854621762674114178969735533091956848537764446663867373471922070126246080829627216139145939953121935698097158067929<159>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e8da725f83aa with GMP-ECM 7.0.5-dev on Sat Feb 10 13:12:36 2024 
Input number is 175879396984924623115577889447236180904522613065326633165829145728643216080402010050251256281407035175879396984924623115577889447236180904522613065326633165829145728643216080402010050251256281407035175879397 (207 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3798629065
Step 1 took 0ms
Step 2 took 8875ms
********** Factor found in step 2: 758791513060633294711741372109852133207929978093
Found prime factor of 48 digits: 758791513060633294711741372109852133207929978093
Composite cofactor 231788829945532749624468583621937170728570687854621762674114178969735533091956848537764446663867373471922070126246080829627216139145939953121935698097158067929 has 159 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 19:19:03 UTC 2022 年 12 月 28 日 (水) 4 時 19 分 3 秒 (日本時間)
4511e61792 / 4213Dmitry DomanovFebruary 10, 2024 07:06:00 UTC 2024 年 2 月 10 日 (土) 16 時 6 分 0 秒 (日本時間)

7×10209+6

c199

composite cofactor 合成数の残り
1130594388956498939244611726784369008334793807196235669001087668591717568624028799500832152549385602856713264879087715632577968275505998731016936287830752906955675118263321547952806689568124455744437<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2022 23:31:23 UTC 2022 年 12 月 26 日 (月) 8 時 31 分 23 秒 (日本時間)
4511e61792 / 4213Dmitry DomanovFebruary 6, 2024 08:21:06 UTC 2024 年 2 月 6 日 (火) 17 時 21 分 6 秒 (日本時間)

7×10211+6

c125

name 名前Ignacio Santos
date 日付November 26, 2022 16:00:16 UTC 2022 年 11 月 27 日 (日) 1 時 0 分 16 秒 (日本時間)
composite number 合成数
37455436149097377022945029642214923525768488404633826317220597315296618443050310713936145500386545927763945525881900617684933<125>
prime factors 素因数
3991033162458980506623034033110701053<37>
composite cofactor 合成数の残り
9384897249518241945581716094521523651051196005037845934113352452138617396078907903641961<88>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2652080754
Step 1 took 2813ms
Step 2 took 1578ms
********** Factor found in step 2: 3991033162458980506623034033110701053
Found prime factor of 37 digits: 3991033162458980506623034033110701053
Composite cofactor 9384897249518241945581716094521523651051196005037845934113352452138617396078907903641961 has 88 digits
software ソフトウェア
GMP-ECM

c88

name 名前Dmitry Domanov
date 日付November 30, 2022 13:58:39 UTC 2022 年 11 月 30 日 (水) 22 時 58 分 39 秒 (日本時間)
composite number 合成数
9384897249518241945581716094521523651051196005037845934113352452138617396078907903641961<88>
prime factors 素因数
965193947384558586254102948932133110925117<42>
9723327912435667926842476898195264287354834333<46>
factorization results 素因数分解の結果
PRP42 = 965193947384558586254102948932133110925117
PRP46 = 9723327912435667926842476898195264287354834333

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10213+6

c186

composite cofactor 合成数の残り
389530710229841971441134420225186986653736240879189561970131087478468479833265892844338265095445525672297028085516492346195616173710733313827306517210052303686907071358426085102201270039<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 25, 2022 23:31:30 UTC 2022 年 12 月 26 日 (月) 8 時 31 分 30 秒 (日本時間)

7×10215+6

c204

composite cofactor 合成数の残り
236233516800441693747047724274331536830838764939143089260097863708362795053487945792616109970176981943582698694963222771354925899053668763343266979305686526216543151056755195393493282481722993719883991027<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 19:19:09 UTC 2022 年 12 月 28 日 (水) 4 時 19 分 9 秒 (日本時間)
4511e61792 / 4213Dmitry DomanovFebruary 10, 2024 07:06:11 UTC 2024 年 2 月 10 日 (土) 16 時 6 分 11 秒 (日本時間)

7×10217+6

c126

name 名前Ignacio Santos
date 日付November 28, 2022 14:49:49 UTC 2022 年 11 月 28 日 (月) 23 時 49 分 49 秒 (日本時間)
composite number 合成数
928089179614918045276719701727014749156940582034840454796891596321247981772316699759115996669251030287719288149996145165618303<126>
prime factors 素因数
100366987411792348040756156471788443742236279500210188349<57>
9246956629345584147578979240359564538738771713373934882978917905719147<70>
factorization results 素因数分解の結果
Number: 1
N=928089179614918045276719701727014749156940582034840454796891596321247981772316699759115996669251030287719288149996145165618303
  ( 126 digits)
Divisors found:
 r1=100366987411792348040756156471788443742236279500210188349 (pp57)
 r2=9246956629345584147578979240359564538738771713373934882978917905719147 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 64.19 hours.
Scaled time: 496.45 units (timescale=7.734).
Factorization parameters were as follows:
name: 1
n: 928089179614918045276719701727014749156940582034840454796891596321247981772316699759115996669251030287719288149996145165618303
skew: 119345.40
# norm 4.68e+017
c5: 45600
c4: 102232352548
c3: 1132334237389042
c2: -1190381312136940679451
c1: -63936802752684294547042486
c0: -359382063509585737404341748928
# alpha -6.48
Y1: 65893384763899
Y0: -1826913352592942586428727
# Murphy_E 1.17e-010
# M 219942989408506066625589384932151675858882426730423722567745462269631855673455305648847188359251030778141054627562951862047667
type: gnfs
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [2900000, 6800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1181866 x 1182109
Total sieving time: 63.85 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 64.19 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 26, 2022 16:00:42 UTC 2022 年 11 月 27 日 (日) 1 時 0 分 42 秒 (日本時間)

7×10219+6

c205

composite cofactor 合成数の残り
1462520444047805822376272533715780817893815736798739229075494488114459693064351769714289197146244858010836024062089231578079399956731411377952423511581094935529780995096570876722712981293430651392108939717<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 19:19:14 UTC 2022 年 12 月 28 日 (水) 4 時 19 分 14 秒 (日本時間)
4511e61792 / 4213Dmitry DomanovFebruary 10, 2024 07:06:19 UTC 2024 年 2 月 10 日 (土) 16 時 6 分 19 秒 (日本時間)

7×10220+6

c189

composite cofactor 合成数の残り
169367523351090143842333133368899913930780610110858974447617866069096592701641276835429347579337783928294499107211216766061889657020771382231425638492444646220036862049010482044031801800939<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 25, 2022 23:31:37 UTC 2022 年 12 月 26 日 (月) 8 時 31 分 37 秒 (日本時間)

7×10222+6

c177

composite cofactor 合成数の残り
215679803792687605442361810440037057330687692406397060002303829957746057811941322150133846136995072298939402998401674347323278422032985585578530813454111361010985036949304721991<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 23, 2022 14:51:48 UTC 2022 年 12 月 23 日 (金) 23 時 51 分 48 秒 (日本時間)

7×10223+6

c173

name 名前Dmitry Domanov
date 日付December 23, 2022 16:58:10 UTC 2022 年 12 月 24 日 (土) 1 時 58 分 10 秒 (日本時間)
composite number 合成数
55295227377545908223499580216750291417197571080922530827040538203089996975251167128862405148173292829005402119054968545953442608890854312563740220225413899128470553248559641<173>
prime factors 素因数
5881277048413064776272280123187035589<37>
9401908279846488041750263857790674239100649603083880104208561181236387507578421041630077593339125886044666298140854165686385780427136069<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1892879469
Step 1 took 8163ms
Step 2 took 4019ms
********** Factor found in step 2: 5881277048413064776272280123187035589
Found prime factor of 37 digits: 5881277048413064776272280123187035589
Prime cofactor 9401908279846488041750263857790674239100649603083880104208561181236387507578421041630077593339125886044666298140854165686385780427136069 has 136 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 23, 2022 14:51:55 UTC 2022 年 12 月 23 日 (金) 23 時 51 分 55 秒 (日本時間)

7×10224+6

c208

composite cofactor 合成数の残り
1432976032163679545047758434589088003152853856997018232756518884556153881453028528526156599091139527209814611041608137935580081841555333534635646666287876285403189885269180386179596916429600148921446818969463<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 19:19:19 UTC 2022 年 12 月 28 日 (水) 4 時 19 分 19 秒 (日本時間)
4511e61792 / 4213Dmitry DomanovFebruary 10, 2024 07:06:28 UTC 2024 年 2 月 10 日 (土) 16 時 6 分 28 秒 (日本時間)

7×10225+6

c226

composite cofactor 合成数の残り
3500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovDecember 31, 2022 23:59:29 UTC 2023 年 1 月 1 日 (日) 8 時 59 分 29 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 10, 2024 07:06:36 UTC 2024 年 2 月 10 日 (土) 16 時 6 分 36 秒 (日本時間)

7×10226+6

c166

composite cofactor 合成数の残り
4426887964940036242340153560894371604828329671171656845125983848511392208940611014223939910410360698329458498694784568992356164278506026640471219450287900537642036753<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 23, 2022 14:52:01 UTC 2022 年 12 月 23 日 (金) 23 時 52 分 1 秒 (日本時間)

7×10227+6

c172

composite cofactor 合成数の残り
3361176135437745683196426581091906160430845842341980436346379577014647858139072544647488976931520416105237381866653979063359304806239300588421628063909643521556770002298781<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 23, 2022 14:52:08 UTC 2022 年 12 月 23 日 (金) 23 時 52 分 8 秒 (日本時間)

7×10228+6

c138

name 名前Ignacio Santos
date 日付January 14, 2023 14:56:57 UTC 2023 年 1 月 14 日 (土) 23 時 56 分 57 秒 (日本時間)
composite number 合成数
500572058842386407703151914821842058958645657583783547774062884326381154461012629373755889423929624940114574933686138988687337330276964099<138>
prime factors 素因数
993568299909526592062555628234528696844239840000171171441<57>
503812429289428854707028453558914345840533525207278357108139047730663890581941939<81>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:686285775
Step 1 took 80625ms
Step 2 took 27485ms
********** Factor found in step 2: 993568299909526592062555628234528696844239840000171171441
Found prime factor of 57 digits: 993568299909526592062555628234528696844239840000171171441
Prime cofactor 503812429289428854707028453558914345840533525207278357108139047730663890581941939 has 81 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 26, 2022 10:39:05 UTC 2022 年 11 月 26 日 (土) 19 時 39 分 5 秒 (日本時間)
4511e64480Ignacio SantosDecember 1, 2022 17:19:40 UTC 2022 年 12 月 2 日 (金) 2 時 19 分 40 秒 (日本時間)

7×10230+6

c147

name 名前ebina
date 日付March 9, 2023 03:37:57 UTC 2023 年 3 月 9 日 (木) 12 時 37 分 57 秒 (日本時間)
composite number 合成数
615922728069475849133350659888038595742933646969195563506063901784080408561957770062674086114282365911915276743022838591497182624178608453465866323<147>
prime factors 素因数
21148160852997352785571376762132689992844496417006808121<56>
29124174548832241524299799606635150151186839331051491654978160375044484371049956879886870763<92>
factorization results 素因数分解の結果
Number: 70006_230
N = 615922728069475849133350659888038595742933646969195563506063901784080408561957770062674086114282365911915276743022838591497182624178608453465866323 (147 digits)
Divisors found:
r1=21148160852997352785571376762132689992844496417006808121 (pp56)
r2=29124174548832241524299799606635150151186839331051491654978160375044484371049956879886870763 (pp92)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 145.99 hours.
Factorization parameters were as follows:
n: 615922728069475849133350659888038595742933646969195563506063901784080408561957770062674086114282365911915276743022838591497182624178608453465866323
# norm 3.476556e-14 alpha -7.501536 e 7.929e-12 rroots 5
skew: 62806593.66
c0: 9080175776764124189664510759392359459725
c1: 479983931927415254613777323009820
c2: -34294632794610118011952674
c3: 17975029353375296
c4: 8594820181
c5: 36
Y0: -111338338257216263668140617122
Y1: 57914965076207
type: gnfs
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 43503615
Relations: 6574552 relations
Pruned matrix : 3842595 x 3842823
Polynomial selection time: 0.69 hours.
Total sieving time: 136.42 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 8.20 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,146,5,65,2000,1e-05,0.28,250,20,50000,3600,17700000,17700000,29,29,58,58,2.6,2.6,100000
total time: 145.99 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 26, 2022 10:43:19 UTC 2022 年 11 月 26 日 (土) 19 時 43 分 19 秒 (日本時間)
4511e64480Ignacio SantosNovember 30, 2022 15:30:47 UTC 2022 年 12 月 1 日 (木) 0 時 30 分 47 秒 (日本時間)
5043e66454Ignacio SantosDecember 3, 2022 16:24:07 UTC 2022 年 12 月 4 日 (日) 1 時 24 分 7 秒 (日本時間)

7×10232+6

c221

composite cofactor 合成数の残り
11500483083014928580533990966058473669071682733368327504832733351909267320067315390043816270000749424902361951814800106537679546471340535257331869316111158355327998913654831120666948417412887101722323472638245105466261541<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovDecember 31, 2022 23:59:37 UTC 2023 年 1 月 1 日 (日) 8 時 59 分 37 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 10, 2024 07:06:44 UTC 2024 年 2 月 10 日 (土) 16 時 6 分 44 秒 (日本時間)

7×10233+6

c213

name 名前Dmitry Domanov
date 日付February 11, 2024 21:43:58 UTC 2024 年 2 月 12 日 (月) 6 時 43 分 58 秒 (日本時間)
composite number 合成数
112001581220081865919905388216246280884942743177304951098336916457990492610319799416478005714294204199173190169244702484042675837827622891354862009011300159365525118392972109670823365226343478982313647359219383389<213>
prime factors 素因数
1624455868893963352592579961828418566173204363<46>
68947136924279713484599652784895202841525923540227081474901541209901727307414970185310746680307497293046802376410118891530208884121682317675293252561614108333441618103<167>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6b1bd115f22f with GMP-ECM 7.0.5-dev on Sat Feb 10 21:36:13 2024 
Input number is 112001581220081865919905388216246280884942743177304951098336916457990492610319799416478005714294204199173190169244702484042675837827622891354862009011300159365525118392972109670823365226343478982313647359219383389 (213 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1391691297
Step 1 took 0ms
Step 2 took 4510ms
********** Factor found in step 2: 1624455868893963352592579961828418566173204363
Found prime factor of 46 digits: 1624455868893963352592579961828418566173204363
Prime cofactor 68947136924279713484599652784895202841525923540227081474901541209901727307414970185310746680307497293046802376410118891530208884121682317675293252561614108333441618103 has 167 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2022 00:14:18 UTC 2022 年 12 月 30 日 (金) 9 時 14 分 18 秒 (日本時間)
4511e61792 / 4213Dmitry DomanovFebruary 10, 2024 07:06:54 UTC 2024 年 2 月 10 日 (土) 16 時 6 分 54 秒 (日本時間)

7×10234+6

c195

name 名前Dmitry Domanov
date 日付December 26, 2022 10:52:27 UTC 2022 年 12 月 26 日 (月) 19 時 52 分 27 秒 (日本時間)
composite number 合成数
965133497172642998481726019831145710638684395941188625615209875042958317354314756092230247092552354507980277331940593992352817224672641694512099524213787534237926380599581026698436107169865357289<195>
prime factors 素因数
18456100857949994081902841811892997<35>
52293466783744316559083814708773501518896960127390266615818880114675363391098891346197762435707022128859398591782743413022947012354315157705181653299144708761237<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1274569106
Step 1 took 11759ms
Step 2 took 5731ms
********** Factor found in step 2: 18456100857949994081902841811892997
Found prime factor of 35 digits: 18456100857949994081902841811892997
Prime cofactor 52293466783744316559083814708773501518896960127390266615818880114675363391098891346197762435707022128859398591782743413022947012354315157705181653299144708761237 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 25, 2022 23:31:44 UTC 2022 年 12 月 26 日 (月) 8 時 31 分 44 秒 (日本時間)

7×10235+6

c221

name 名前Dmitry Domanov
date 日付January 1, 2023 08:41:38 UTC 2023 年 1 月 1 日 (日) 17 時 41 分 38 秒 (日本時間)
composite number 合成数
48720136207156728321752697175293228377702727812954170091803175628122347740181074770504639058066874346704442360253103433266023811796923482397762481281593114922793628267930097273619069627130719634668333364697909991375359237<221>
prime factors 素因数
579894434192388966187005541071202844774527<42>
composite cofactor 合成数の残り
84015526507007425481536140834477348622399079124407108615551738683123083108323301738054520245069263545154363314055854792664992295272002262026953634750488190027598220116710278340731<179>
factorization results 素因数分解の結果
Resuming ECM residue saved by @153969048de3 with GMP-ECM 7.0.5-dev on Sun Jan  1 00:36:57 2023 
Input number is 48720136207156728321752697175293228377702727812954170091803175628122347740181074770504639058066874346704442360253103433266023811796923482397762481281593114922793628267930097273619069627130719634668333364697909991375359237 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3693656852
Step 1 took 0ms
Step 2 took 3643ms
********** Factor found in step 2: 579894434192388966187005541071202844774527
Found prime factor of 42 digits: 579894434192388966187005541071202844774527
Composite cofactor 84015526507007425481536140834477348622399079124407108615551738683123083108323301738054520245069263545154363314055854792664992295272002262026953634750488190027598220116710278340731 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 31, 2022 23:59:45 UTC 2023 年 1 月 1 日 (日) 8 時 59 分 45 秒 (日本時間)

7×10236+6

c179

composite cofactor 合成数の残り
36614545483304274774708349670759583984216353249310571726921396178544481744839330363937276019817190422451649366322803188052388512884214414212903356044718256684138478871537708781187<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 23, 2022 14:52:20 UTC 2022 年 12 月 23 日 (金) 23 時 52 分 20 秒 (日本時間)

7×10237+6

c187

composite cofactor 合成数の残り
1646584406045642382739248530330712995938603069086118216263365156331163650913883705705595077124212122884197368877154011131241146238822801442879944015486839444182710477547187912405734360707<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 25, 2022 23:31:52 UTC 2022 年 12 月 26 日 (月) 8 時 31 分 52 秒 (日本時間)

7×10238+6

c180

composite cofactor 合成数の残り
399202386910048240030293406493139437661491505591836065228745468614763984374297049181598381405798788897155624139382695936307281030709452243140278739361428781372460805794941475872923<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 25, 2022 23:32:00 UTC 2022 年 12 月 26 日 (月) 8 時 32 分 0 秒 (日本時間)

7×10239+6

c175

composite cofactor 合成数の残り
7143478697952663987580591119567889215482009319661977534596671116900975831477561037443261987291323300451528300612111089498487530182666853562844257932414410209802346796956517953<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 23, 2022 14:52:27 UTC 2022 年 12 月 23 日 (金) 23 時 52 分 27 秒 (日本時間)

7×10240+6

c226

composite cofactor 合成数の残り
3267595822687226393399693220614841405956714407918382978673721981449143569816350780284596470205645840092654816402298175392218500864945769858629442259757119637259577272903999882856895962498519103211844605826799493952078896533029<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovDecember 31, 2022 23:59:53 UTC 2023 年 1 月 1 日 (日) 8 時 59 分 53 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 10, 2024 07:07:02 UTC 2024 年 2 月 10 日 (土) 16 時 7 分 2 秒 (日本時間)

7×10241+6

c154

name 名前Ignacio Santos
date 日付November 27, 2022 14:10:23 UTC 2022 年 11 月 27 日 (日) 23 時 10 分 23 秒 (日本時間)
composite number 合成数
6380825112828585598023710045560360850494315584334298505208422812198638556494099953497088107352785424133224887999882674616409788259793693243608496598737549<154>
prime factors 素因数
61960409299136848804704354983576309<35>
102982294420018863376789174333806959220200781530377195358335607849360371306576634231022839372017718885875511596949410361<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:611017708
Step 1 took 5813ms
Step 2 took 2812ms
********** Factor found in step 2: 61960409299136848804704354983576309
Found prime factor of 35 digits: 61960409299136848804704354983576309
Prime cofactor 102982294420018863376789174333806959220200781530377195358335607849360371306576634231022839372017718885875511596949410361 has 120 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

7×10242+6

c231

composite cofactor 合成数の残り
626475994311582943386689045333455826540150753029375073619781661152045054777067952423423254102378146860002302034261850159394172945575371729958335975346752971883342982905097336514046266746067406710120518552257868197287800319879960443<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:39:43 UTC 2023 年 1 月 7 日 (土) 3 時 39 分 43 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:12:25 UTC 2024 年 2 月 16 日 (金) 0 時 12 分 25 秒 (日本時間)

7×10243+6

c206

name 名前Dmitry Domanov
date 日付February 10, 2024 16:24:02 UTC 2024 年 2 月 11 日 (日) 1 時 24 分 2 秒 (日本時間)
composite number 合成数
84655705929214954176523616508909796673076731848368861959668374599239055116617724405161586786623887594945278884016516553050389051384584242059773281389136909141770946810325098237676024365685435198583420942307<206>
prime factors 素因数
50658481202092125958702531466225794251647<41>
composite cofactor 合成数の残り
1671106277179877026283307680449139341122910553647125198743598715135916915422254551998926063167122625832309371114408316350136331135974858118697419275597091201367098781<166>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e8da725f83aa with GMP-ECM 7.0.5-dev on Sat Feb 10 09:59:24 2024 
Input number is 84655705929214954176523616508909796673076731848368861959668374599239055116617724405161586786623887594945278884016516553050389051384584242059773281389136909141770946810325098237676024365685435198583420942307 (206 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3487807900
Step 1 took 0ms
Step 2 took 8872ms
********** Factor found in step 2: 50658481202092125958702531466225794251647
Found prime factor of 41 digits: 50658481202092125958702531466225794251647
Composite cofactor 1671106277179877026283307680449139341122910553647125198743598715135916915422254551998926063167122625832309371114408316350136331135974858118697419275597091201367098781 has 166 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 19:22:28 UTC 2022 年 12 月 28 日 (水) 4 時 22 分 28 秒 (日本時間)
4511e662721792Dmitry DomanovFebruary 10, 2024 07:07:10 UTC 2024 年 2 月 10 日 (土) 16 時 7 分 10 秒 (日本時間)
4480Ignacio SantosFebruary 15, 2024 08:12:53 UTC 2024 年 2 月 15 日 (木) 17 時 12 分 53 秒 (日本時間)

7×10244+6

c244

name 名前Dmitry Domanov
date 日付January 8, 2023 13:44:05 UTC 2023 年 1 月 8 日 (日) 22 時 44 分 5 秒 (日本時間)
composite number 合成数
2058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647059<244>
prime factors 素因数
7300808265213986551044477736530683591403067<43>
composite cofactor 合成数の残り
281999397138177087505273974059948603149633074687844608763261872617134240048284460384124737840036511038198479906685178281889391662650856744797617657417149930163390467165813834070163600375440577265992777<201>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6ac90a82cbf2 with GMP-ECM 7.0.5-dev on Sat Jan  7 07:41:50 2023 
Input number is 2058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647059 (244 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:375790728
Step 1 took 1ms
Step 2 took 6311ms
********** Factor found in step 2: 7300808265213986551044477736530683591403067
Found prime factor of 43 digits: 7300808265213986551044477736530683591403067
Composite cofactor 281999397138177087505273974059948603149633074687844608763261872617134240048284460384124737840036511038198479906685178281889391662650856744797617657417149930163390467165813834070163600375440577265992777 has 201 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:39:50 UTC 2023 年 1 月 7 日 (土) 3 時 39 分 50 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 10, 2024 07:07:18 UTC 2024 年 2 月 10 日 (土) 16 時 7 分 18 秒 (日本時間)

7×10245+6

c202

composite cofactor 合成数の残り
3939894554660152312574473592556171369112351814045642447240695737390856483698142156967740601541642178168445240337993586111848167193853850953674776494735049561306479050640059012004294529045198071813075921<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 19:22:24 UTC 2022 年 12 月 28 日 (水) 4 時 22 分 24 秒 (日本時間)
4511e61792 / 4213Dmitry DomanovFebruary 10, 2024 07:07:27 UTC 2024 年 2 月 10 日 (土) 16 時 7 分 27 秒 (日本時間)

7×10246+6

c187

composite cofactor 合成数の残り
1031013870312756174542788117955730677684919294729070778955511655043046855920592904151179028669765041113511231303113841005953147560790087501190629187337168617176599013870870190861795793887<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 25, 2022 23:32:28 UTC 2022 年 12 月 26 日 (月) 8 時 32 分 28 秒 (日本時間)

7×10247+6

c188

composite cofactor 合成数の残り
25266393752542337800469696215053235414622021140104963973480136039714514004615504867818361261603748549297246264135298586202507404902959406536719663964317233262021591677232565210898694033969<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 25, 2022 23:32:36 UTC 2022 年 12 月 26 日 (月) 8 時 32 分 36 秒 (日本時間)

7×10248+6

c238

composite cofactor 合成数の残り
1337237464013677730018307661586941047532103621944551144100088403227866317844113714558411855764042848885597066475457952799864099894277000110437853518048842502344166949032415640824763689400606402871832062097260140894692312318707588584377131<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:39:58 UTC 2023 年 1 月 7 日 (土) 3 時 39 分 58 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:12:35 UTC 2024 年 2 月 16 日 (金) 0 時 12 分 35 秒 (日本時間)

7×10253+6

c234

composite cofactor 合成数の残り
679091025137632735105244567787380532063277930567906235843437967485214989439895154568194626358915906464712456124485822662829744672861105478342173954050250680606254271876665924339074628733691441588450521133272630692008030233675501072461<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:40:04 UTC 2023 年 1 月 7 日 (土) 3 時 40 分 4 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:12:42 UTC 2024 年 2 月 16 日 (金) 0 時 12 分 42 秒 (日本時間)

7×10254+6

c255

composite cofactor 合成数の残り
350000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 09:15:16 UTC 2023 年 1 月 4 日 (水) 18 時 15 分 16 秒 (日本時間)

7×10255+6

c225

name 名前Dmitry Domanov
date 日付January 1, 2023 00:55:51 UTC 2023 年 1 月 1 日 (日) 9 時 55 分 51 秒 (日本時間)
composite number 合成数
428784250666788119106392560692707509627270817136731259053975962023563420495214505838296664621740968536621724797644212970314016920088437382408859399924312662569118830227324321780663406232198265976638050382601435795762990055463<225>
prime factors 素因数
219300841672912808725162389382192061<36>
composite cofactor 合成数の残り
1955233036936172828035088681409479819889355787189905076930599057035577649082716353762051579032874091517323055997074322192847117382807746019437784917984141932695083540057678766213902237890483<190>
factorization results 素因数分解の結果
GPU: factor 219300841672912808725162389382192061 found in Step 1 with curve 460 (-sigma 3:581967311)
GPU: factor 219300841672912808725162389382192061 found in Step 1 with curve 1307 (-sigma 3:581968158)
Computing 1792 Step 1 took 178ms of CPU time / 175061ms of GPU time
Throughput: 10.236 curves per second (on average 97.69ms per Step 1)
********** Factor found in step 1: 219300841672912808725162389382192061
Found prime factor of 36 digits: 219300841672912808725162389382192061
Composite cofactor 1955233036936172828035088681409479819889355787189905076930599057035577649082716353762051579032874091517323055997074322192847117382807746019437784917984141932695083540057678766213902237890483 has 190 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 1, 2023 00:00:02 UTC 2023 年 1 月 1 日 (日) 9 時 0 分 2 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 6, 2024 08:21:18 UTC 2024 年 2 月 6 日 (火) 17 時 21 分 18 秒 (日本時間)

7×10256+6

c193

composite cofactor 合成数の残り
8475639265310372255973514804197961877028113326210140497198900698189346237010153867507694218493496513129138995116711683460144096452265509537659207842632539993386609521629613751483052476147385139<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2022 23:32:44 UTC 2022 年 12 月 26 日 (月) 8 時 32 分 44 秒 (日本時間)
4511e61792 / 4213Dmitry DomanovFebruary 6, 2024 08:21:27 UTC 2024 年 2 月 6 日 (火) 17 時 21 分 27 秒 (日本時間)

7×10257+6

c240

name 名前Dmitry Domanov
date 日付January 8, 2023 18:30:07 UTC 2023 年 1 月 9 日 (月) 3 時 30 分 7 秒 (日本時間)
composite number 合成数
231863175315683431238040849147196766271277519696957663150033552804950940047154368232662096735209048810579465713369464617858556275586501923518330559666880016922226206694341019051534414707445769309954067447542269728431965145620018090268311469<240>
prime factors 素因数
524128902370938019835021008806689256669165097<45>
composite cofactor 合成数の残り
442378152143169840810987700769065567779722574193839301216720043431608597385700282064182573413735554056543123509748410984687921829613932454714402939034984023238038688003467691513204103392816367077<195>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1f395b902b49 with GMP-ECM 7.0.5-dev on Sat Jan  7 21:00:48 2023 
Input number is 231863175315683431238040849147196766271277519696957663150033552804950940047154368232662096735209048810579465713369464617858556275586501923518330559666880016922226206694341019051534414707445769309954067447542269728431965145620018090268311469 (240 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1943759783
Step 1 took 0ms
Step 2 took 4325ms
********** Factor found in step 2: 524128902370938019835021008806689256669165097
Found prime factor of 45 digits: 524128902370938019835021008806689256669165097
Composite cofactor 442378152143169840810987700769065567779722574193839301216720043431608597385700282064182573413735554056543123509748410984687921829613932454714402939034984023238038688003467691513204103392816367077 has 195 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:40:11 UTC 2023 年 1 月 7 日 (土) 3 時 40 分 11 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 6, 2024 08:21:36 UTC 2024 年 2 月 6 日 (火) 17 時 21 分 36 秒 (日本時間)

7×10258+6

c243

composite cofactor 合成数の残り
685599180858478983393538180155305455725265586075081113950591016379669779128486044356033611249201876780074892979763026964030025205552362500386683223217258898059524619684806639905579911561489151082093091542253528177756203391697128527926926007563<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:40:18 UTC 2023 年 1 月 7 日 (土) 3 時 40 分 18 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:12:50 UTC 2024 年 2 月 16 日 (金) 0 時 12 分 50 秒 (日本時間)

7×10260+6

c244

composite cofactor 合成数の残り
2152281737609739715626620789351116154457749957231414085881132199874849536472664360822208493551619701169289639579060161981309728374734030342056825955341496575151160171679880882288594021890446923019636307612850503067013094702228750219383855424731<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:40:25 UTC 2023 年 1 月 7 日 (土) 3 時 40 分 25 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:13:01 UTC 2024 年 2 月 16 日 (金) 0 時 13 分 1 秒 (日本時間)

7×10262+6

c243

name 名前Dmitry Domanov
date 日付January 7, 2023 22:57:37 UTC 2023 年 1 月 8 日 (日) 7 時 57 分 37 秒 (日本時間)
composite number 合成数
118489701136581031160148042623986121310801354989858859264888163226639243768720653746637705244359863307347660798198013226138224259415939612056916865946575377255677067966753968624226626452595055272644105449667459624240736409634977388492395482489<243>
prime factors 素因数
2991773136406324963165715756551928642683<40>
composite cofactor 合成数の残り
39605175838602910547143845784822683884030839583299761271798487932931063470855812390638214463306685080339780359546973110240277346392759290223100416346409314219159615033412179725289743605180518973977910683<203>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6ac90a82cbf2 with GMP-ECM 7.0.5-dev on Sat Jan  7 08:02:34 2023 
Input number is 118489701136581031160148042623986121310801354989858859264888163226639243768720653746637705244359863307347660798198013226138224259415939612056916865946575377255677067966753968624226626452595055272644105449667459624240736409634977388492395482489 (243 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:545397529
Step 1 took 0ms
Step 2 took 3575ms
********** Factor found in step 2: 2991773136406324963165715756551928642683
Found prime factor of 40 digits: 2991773136406324963165715756551928642683
Composite cofactor 39605175838602910547143845784822683884030839583299761271798487932931063470855812390638214463306685080339780359546973110240277346392759290223100416346409314219159615033412179725289743605180518973977910683 has 203 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:40:31 UTC 2023 年 1 月 7 日 (土) 3 時 40 分 31 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 10, 2024 07:07:35 UTC 2024 年 2 月 10 日 (土) 16 時 7 分 35 秒 (日本時間)

7×10263+6

c252

composite cofactor 合成数の残り
103290336864268354570230139611437030897946270914951754266854789217942510177932776601257371565374181029757648194612219446498220011006671434708023806317792007391696970633107440713090209569970024416372692355895641989285006584341477031078472081117881008089<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 09:15:24 UTC 2023 年 1 月 4 日 (水) 18 時 15 分 24 秒 (日本時間)

7×10265+6

c221

name 名前Dmitry Domanov
date 日付February 11, 2024 21:11:25 UTC 2024 年 2 月 12 日 (月) 6 時 11 分 25 秒 (日本時間)
composite number 合成数
87521375382709434063480070217975661664745255331400789879948130858190798023283877409688824956377151301401062614762450396023583435048879451036498981402631116718247286270666503705672259144681094036623214523705310828779834449<221>
prime factors 素因数
84733645620330785780579027765768985457<38>
composite cofactor 合成数の残り
1032899915281230000012169391453760174426864269121172206564619129620312052071897576916267881367489086709475065921778496893676054061616378529979227248855189996471685313139753897593196257<184>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6b1bd115f22f with GMP-ECM 7.0.5-dev on Sat Feb 10 20:53:19 2024 
Input number is 87521375382709434063480070217975661664745255331400789879948130858190798023283877409688824956377151301401062614762450396023583435048879451036498981402631116718247286270666503705672259144681094036623214523705310828779834449 (221 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2838826142
Step 1 took 0ms
Step 2 took 10075ms
********** Factor found in step 2: 84733645620330785780579027765768985457
Found prime factor of 38 digits: 84733645620330785780579027765768985457
Composite cofactor 1032899915281230000012169391453760174426864269121172206564619129620312052071897576916267881367489086709475065921778496893676054061616378529979227248855189996471685313139753897593196257 has 184 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 1, 2023 00:00:12 UTC 2023 年 1 月 1 日 (日) 9 時 0 分 12 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 10, 2024 07:07:43 UTC 2024 年 2 月 10 日 (土) 16 時 7 分 43 秒 (日本時間)

7×10266+6

c233

composite cofactor 合成数の残り
46942364419151629410965674099335593581654170765460211222976528583266675869376344122137486918255890252235907879667416235089393731394837195854499632348500507380578828773256539514336421505079601098078055753291609892518215259267985411977<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:40:38 UTC 2023 年 1 月 7 日 (土) 3 時 40 分 38 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:13:06 UTC 2024 年 2 月 16 日 (金) 0 時 13 分 6 秒 (日本時間)

7×10267+6

c245

composite cofactor 合成数の残り
19132672330439525126668579396244159437993224757946758579604151632139415492595316083045668576717233378005438851259359168889598909970838871897026402360620804559550004494947301186141874437175634390081445407460359835502808830694289668650013662494947<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:40:45 UTC 2023 年 1 月 7 日 (土) 3 時 40 分 45 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:13:14 UTC 2024 年 2 月 16 日 (金) 0 時 13 分 14 秒 (日本時間)

7×10268+6

c240

name 名前Dmitry Domanov
date 日付January 8, 2023 08:19:59 UTC 2023 年 1 月 8 日 (日) 17 時 19 分 59 秒 (日本時間)
composite number 合成数
241038275707815045240151295841506329991458758406199317680887920815270561891523818483236222094971063251059510602678348963808160011528642774322059273880115672417609637573821144652221801454936134187224166044391014954249198081004246533022378739<240>
prime factors 素因数
23599391909533447533918619408433027<35>
composite cofactor 合成数の残り
10213749431842046782022973856406737094405468097282160207278496664272661541386231743845160730843727470555933899822562805218857494927350561359884784326816699457925059557274786594556316553094163650667450440657<206>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6ac90a82cbf2 with GMP-ECM 7.0.5-dev on Sat Jan  7 06:29:45 2023 
Input number is 241038275707815045240151295841506329991458758406199317680887920815270561891523818483236222094971063251059510602678348963808160011528642774322059273880115672417609637573821144652221801454936134187224166044391014954249198081004246533022378739 (240 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2252443015
Step 1 took 0ms
Step 2 took 3585ms
********** Factor found in step 2: 23599391909533447533918619408433027
Found prime factor of 35 digits: 23599391909533447533918619408433027
Composite cofactor 10213749431842046782022973856406737094405468097282160207278496664272661541386231743845160730843727470555933899822562805218857494927350561359884784326816699457925059557274786594556316553094163650667450440657 has 206 digits

c206

name 名前Dmitry Domanov
date 日付February 10, 2024 22:30:36 UTC 2024 年 2 月 11 日 (日) 7 時 30 分 36 秒 (日本時間)
composite number 合成数
10213749431842046782022973856406737094405468097282160207278496664272661541386231743845160730843727470555933899822562805218857494927350561359884784326816699457925059557274786594556316553094163650667450440657<206>
prime factors 素因数
69586124955161591568535984268528005260593<41>
composite cofactor 合成数の残り
146778534347520610668704036023564708788642910379219527659316951048294394959242519704361679870740538665617278662780000940754436306433094375133651257670306861621721249<165>
factorization results 素因数分解の結果
GPU: factor 69586124955161591568535984268528005260593 found in Step 1 with curve 1186 (-sigma 3:1979220504)
Computing 1792 Step 1 took 786ms of CPU time / 642782ms of GPU time
Throughput: 2.788 curves per second (on average 358.70ms per Step 1)
********** Factor found in step 1: 69586124955161591568535984268528005260593
Found prime factor of 41 digits: 69586124955161591568535984268528005260593
Composite cofactor 146778534347520610668704036023564708788642910379219527659316951048294394959242519704361679870740538665617278662780000940754436306433094375133651257670306861621721249 has 165 digits
Peak memory usage: 9470MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:40:52 UTC 2023 年 1 月 7 日 (土) 3 時 40 分 52 秒 (日本時間)
4511e662721792Dmitry DomanovFebruary 10, 2024 07:07:53 UTC 2024 年 2 月 10 日 (土) 16 時 7 分 53 秒 (日本時間)
4480Ignacio SantosFebruary 15, 2024 07:17:12 UTC 2024 年 2 月 15 日 (木) 16 時 17 分 12 秒 (日本時間)

7×10269+6

c245

composite cofactor 合成数の残り
30013757255527961547508952620444059654909962976550890656981570759058972426949599405183693021936246366858101456231641128293930283527406306230233605452961259615641791760781469393388951306665413801243488243710167175247718687420017958684588917096233<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:40:59 UTC 2023 年 1 月 7 日 (土) 3 時 40 分 59 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:13:23 UTC 2024 年 2 月 16 日 (金) 0 時 13 分 23 秒 (日本時間)

7×10270+6

c237

name 名前Dmitry Domanov
date 日付February 16, 2024 07:08:08 UTC 2024 年 2 月 16 日 (金) 16 時 8 分 8 秒 (日本時間)
composite number 合成数
260366315101943634129769818710593421613296001915023854865771433770768741341247506387836253701979054586822101434902286010071229613109635486085457318007416012495648117817691913981792444912191119605498837685665686566603614642969926385545817<237>
prime factors 素因数
9715123653265278832629829311210103217<37>
composite cofactor 合成数の残り
26800103055243545450004133781706544129017032983440722530967665275256776899885628845901393840746671546152040808203847835664132529800864500585125856657302133983986324805095697327402837720786752353557801<200>
factorization results 素因数分解の結果
GPU: factor 9715123653265278832629829311210103217 found in Step 1 with curve 769 (-sigma 3:202484732)
Computing 1792 Step 1 took 959ms of CPU time / 982241ms of GPU time
Throughput: 1.824 curves per second (on average 548.13ms per Step 1)
********** Factor found in step 1: 9715123653265278832629829311210103217
Found prime factor of 37 digits: 9715123653265278832629829311210103217
Composite cofactor 26800103055243545450004133781706544129017032983440722530967665275256776899885628845901393840746671546152040808203847835664132529800864500585125856657302133983986324805095697327402837720786752353557801 has 200 digits
Peak memory usage: 9470MB

c200

name 名前Dmitry Domanov
date 日付February 19, 2024 15:23:14 UTC 2024 年 2 月 20 日 (火) 0 時 23 分 14 秒 (日本時間)
composite number 合成数
26800103055243545450004133781706544129017032983440722530967665275256776899885628845901393840746671546152040808203847835664132529800864500585125856657302133983986324805095697327402837720786752353557801<200>
prime factors 素因数
79583063513883696266608999299124070034541937<44>
1024062634791512617368053588878195992564416429<46>
328843521807037089536495597486003899689912747481479116657310119247650887759273606572448030324090889139344248637<111>
factorization results 素因数分解の結果
Resuming ECM residue saved by @58c87eb46402 with GMP-ECM 7.0.5-dev on Fri Feb 16 01:12:15 2024 
Input number is 26800103055243545450004133781706544129017032983440722530967665275256776899885628845901393840746671546152040808203847835664132529800864500585125856657302133983986324805095697327402837720786752353557801 (200 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:202484968
Step 1 took 0ms
Step 2 took 8753ms
********** Factor found in step 2: 1024062634791512617368053588878195992564416429
Found prime factor of 46 digits: 1024062634791512617368053588878195992564416429
Composite cofactor 26170374882098631019449030589022416735716045180265454634372533288931265087531023364237419605103938668548489217550338953398835606025970221316605847731589869 has 155 digits
Resuming ECM residue saved by @58c87eb46402 with GMP-ECM 7.0.5-dev on Fri Feb 16 01:12:15 2024 
Input number is 26170374882098631019449030589022416735716045180265454634372533288931265087531023364237419605103938668548489217550338953398835606025970221316605847731589869 (155 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:202484969
--
Resuming ECM residue saved by @58c87eb46402 with GMP-ECM 7.0.5-dev on Fri Feb 16 01:12:15 2024 
Input number is 26170374882098631019449030589022416735716045180265454634372533288931265087531023364237419605103938668548489217550338953398835606025970221316605847731589869 (155 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:202485696
Step 1 took 0ms
Step 2 took 7030ms
********** Factor found in step 2: 79583063513883696266608999299124070034541937
Found prime factor of 44 digits: 79583063513883696266608999299124070034541937
Prime cofactor 328843521807037089536495597486003899689912747481479116657310119247650887759273606572448030324090889139344248637 has 111 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:41:07 UTC 2023 年 1 月 7 日 (土) 3 時 41 分 7 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:13:29 UTC 2024 年 2 月 16 日 (金) 0 時 13 分 29 秒 (日本時間)

7×10271+6

c239

composite cofactor 合成数の残り
20763451944666932962165048668308857470396801384136230638974062473688106905879906794998456946846478614632241541723647315107384528099913170515638214016564721266922014748993461778163740127172069464671274408889189058160934830489386657323027559<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:41:13 UTC 2023 年 1 月 7 日 (土) 3 時 41 分 13 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:13:46 UTC 2024 年 2 月 16 日 (金) 0 時 13 分 46 秒 (日本時間)

7×10272+6

c215

name 名前Dmitry Domanov
date 日付December 30, 2022 19:10:34 UTC 2022 年 12 月 31 日 (土) 4 時 10 分 34 秒 (日本時間)
composite number 合成数
24279907873543959932064946453995344572020111181436115280237037128445635744337648242074508906772770246968875501526788116699199730801866701250796427028631344975928448215343919326275432462964998244545643233232616723231<215>
prime factors 素因数
920200659876213848599089429603386076480761<42>
26385449317989092896458688542861251829548340903089374276092967251521314517404041057608958567300434237267364556468858994734886501631271860938586412614721328179795508417517271<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3822857039
Step 1 took 15844ms
Step 2 took 6600ms
********** Factor found in step 2: 920200659876213848599089429603386076480761
Found prime factor of 42 digits: 920200659876213848599089429603386076480761
Prime cofactor 26385449317989092896458688542861251829548340903089374276092967251521314517404041057608958567300434237267364556468858994734886501631271860938586412614721328179795508417517271 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 30, 2022 00:14:26 UTC 2022 年 12 月 30 日 (金) 9 時 14 分 26 秒 (日本時間)

7×10273+6

c254

name 名前Dmitry Domanov
date 日付January 4, 2023 23:01:45 UTC 2023 年 1 月 5 日 (木) 8 時 1 分 45 秒 (日本時間)
composite number 合成数
75782311489310067408534487015340145275584063601225229976499735437721488239850759414178572242582361213592547591853477639092819468533172447296058904465900640987882626922296606119186423773531745717850335032355159638413069321669793665349657375636042361733741<254>
prime factors 素因数
10716465287164894506109988233641082937<38>
composite cofactor 合成数の残り
7071577190668877233144765414490709112348006832889457503211144576028087519494467919719265879674672760074725078235657636472289874186704748307166926465705457883110446324963593711687941687325125850528504279517932255783893<217>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c03b060a97eb with GMP-ECM 7.0.5-dev on Wed Jan  4 10:24:39 2023 
Input number is 75782311489310067408534487015340145275584063601225229976499735437721488239850759414178572242582361213592547591853477639092819468533172447296058904465900640987882626922296606119186423773531745717850335032355159638413069321669793665349657375636042361733741 (254 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:71906148
Step 1 took 0ms
Step 2 took 3833ms
********** Factor found in step 2: 10716465287164894506109988233641082937
Found prime factor of 38 digits: 10716465287164894506109988233641082937
Composite cofactor 7071577190668877233144765414490709112348006832889457503211144576028087519494467919719265879674672760074725078235657636472289874186704748307166926465705457883110446324963593711687941687325125850528504279517932255783893 has 217 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 4, 2023 09:15:34 UTC 2023 年 1 月 4 日 (水) 18 時 15 分 34 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 10, 2024 07:08:01 UTC 2024 年 2 月 10 日 (土) 16 時 8 分 1 秒 (日本時間)

7×10275+6

c221

name 名前Dmitry Domanov
date 日付January 1, 2023 09:36:40 UTC 2023 年 1 月 1 日 (日) 18 時 36 分 40 秒 (日本時間)
composite number 合成数
31352579972644253975469601295020050351119399867961211037520259398721312776445702886455319107421448201015815516056655681689582132111989714940716694156350673640174036241240957746942203497325890436601790529124833603707515843<221>
prime factors 素因数
2297730012955397502003988939629260503249<40>
composite cofactor 合成数の残り
13645023477896685378674214181462156043559598796655237116501096736040400783856881838163301250071973521054177653502147831292211609401459904836958612618599256251293337694122859407181907<182>
factorization results 素因数分解の結果
Resuming ECM residue saved by @153969048de3 with GMP-ECM 7.0.5-dev on Sun Jan  1 00:48:39 2023 
Input number is 31352579972644253975469601295020050351119399867961211037520259398721312776445702886455319107421448201015815516056655681689582132111989714940716694156350673640174036241240957746942203497325890436601790529124833603707515843 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:241005570
Step 1 took 0ms
Step 2 took 4128ms
********** Factor found in step 2: 2297730012955397502003988939629260503249
Found prime factor of 40 digits: 2297730012955397502003988939629260503249
Composite cofactor 13645023477896685378674214181462156043559598796655237116501096736040400783856881838163301250071973521054177653502147831292211609401459904836958612618599256251293337694122859407181907 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJanuary 1, 2023 00:00:21 UTC 2023 年 1 月 1 日 (日) 9 時 0 分 21 秒 (日本時間)
2350Ignacio SantosJanuary 2, 2023 11:34:14 UTC 2023 年 1 月 2 日 (月) 20 時 34 分 14 秒 (日本時間)
4511e64480Ignacio SantosJanuary 3, 2023 15:40:08 UTC 2023 年 1 月 4 日 (水) 0 時 40 分 8 秒 (日本時間)

7×10276+6

c251

composite cofactor 合成数の残り
28691074214068521979110863658764775260082389857053802936722038706955259131871413388271070854967696360511372603912759853243898814520977752905755693183422095649089982423498605541372153686230888303528425546880449456009461289093770202945808265620948320451<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 09:15:42 UTC 2023 年 1 月 4 日 (水) 18 時 15 分 42 秒 (日本時間)

7×10277+6

c274

composite cofactor 合成数の残り
3210125653489865174722553425662661652756122168210584242868935155461799504723470604420801614234614326332202146198294047509859671650004585893790699807392460790608089516646794460240300834632669907364945427863890672292029716591763734751903145923140420067871228102357149408419701<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 2, 2023 22:59:45 UTC 2023 年 1 月 3 日 (火) 7 時 59 分 45 秒 (日本時間)

7×10278+6

c254

name 名前Dmitry Domanov
date 日付January 4, 2023 23:02:00 UTC 2023 年 1 月 5 日 (木) 8 時 2 分 0 秒 (日本時間)
composite number 合成数
69599778546008931393485983221251269923952134498630269032528661138014948982261156751845886128846426759393647886352676881811723594880448378604612688686907613502631762767312281214835967178977428960042652774315476636740435972304337031340323443199613418507641<254>
prime factors 素因数
2001069626111670634919168109532380607297<40>
composite cofactor 合成数の残り
34781287786197641732179780524125016060499355731888961841858177971212494411404754312071447630697875145480634191220910187100909173805080061506122594575185567273870751949541033676999757592468229202070515963822476829753<215>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c03b060a97eb with GMP-ECM 7.0.5-dev on Wed Jan  4 10:33:35 2023 
Input number is 69599778546008931393485983221251269923952134498630269032528661138014948982261156751845886128846426759393647886352676881811723594880448378604612688686907613502631762767312281214835967178977428960042652774315476636740435972304337031340323443199613418507641 (254 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:148187259
Step 1 took 0ms
Step 2 took 3824ms
********** Factor found in step 2: 2001069626111670634919168109532380607297
Found prime factor of 40 digits: 2001069626111670634919168109532380607297
Composite cofactor 34781287786197641732179780524125016060499355731888961841858177971212494411404754312071447630697875145480634191220910187100909173805080061506122594575185567273870751949541033676999757592468229202070515963822476829753 has 215 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 4, 2023 09:15:51 UTC 2023 年 1 月 4 日 (水) 18 時 15 分 51 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 10, 2024 07:08:09 UTC 2024 年 2 月 10 日 (土) 16 時 8 分 9 秒 (日本時間)

7×10279+6

c269

composite cofactor 合成数の残り
25589934431256178450722414052432360643252418578890145790096414545314282464266695316628884683493932525184618877883610872316686225606904343632115155449300665539407969637849525580047142274531357278811994607778420565191048449514463351176720369834840077520670168803898141963<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 09:16:00 UTC 2023 年 1 月 4 日 (水) 18 時 16 分 0 秒 (日本時間)

7×10280+6

c224

composite cofactor 合成数の残り
93950771748011911228988457898191437417383710602438002670315281396620789988520510168183930600483502915444249822072053442716732719207756544583534612523965360744390344902306618576280190021144482202891707595920015907477456016681<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 1, 2023 00:00:43 UTC 2023 年 1 月 1 日 (日) 9 時 0 分 43 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 10, 2024 07:08:17 UTC 2024 年 2 月 10 日 (土) 16 時 8 分 17 秒 (日本時間)

7×10283+6

c282

composite cofactor 合成数の残り
154185022026431718061674008810572687224669603524229074889867841409691629955947136563876651982378854625550660792951541850220264317180616740088105726872246696035242290748898678414096916299559471365638766519823788546255506607929515418502202643171806167400881057268722466960352422907489<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 2, 2023 22:59:54 UTC 2023 年 1 月 3 日 (火) 7 時 59 分 54 秒 (日本時間)

7×10284+6

c258

composite cofactor 合成数の残り
137521623345143781080923881067557023139431713194605700551068495912064635783920219197548858424773899151016483206650651809110590261438219654750983887745061878262211841113694925163859787041012699848569457852526393353626095305461487623629567750016978410201394973<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 09:16:07 UTC 2023 年 1 月 4 日 (水) 18 時 16 分 7 秒 (日本時間)

7×10285+6

c254

composite cofactor 合成数の残り
32304605741640155977539296796216991587366923067952976446935964899524707073185324684820977319730921911485742216941691526027386506888833840599565873834729923312187098279410752431853753514296119540225159502667377458975839999953537555588215414974382810119969<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 09:16:16 UTC 2023 年 1 月 4 日 (水) 18 時 16 分 16 秒 (日本時間)

7×10287+6

c241

composite cofactor 合成数の残り
2160933995164661719884562344501284357516302806032433050954986027556137754865297717535083459615250832771118768160376056772425212057899363632050612289230157304527235965161101646253444209900980320257163820154249409390981318036223097356064545531<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:41:20 UTC 2023 年 1 月 7 日 (土) 3 時 41 分 20 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:13:53 UTC 2024 年 2 月 16 日 (金) 0 時 13 分 53 秒 (日本時間)

7×10290+6

c201

composite cofactor 合成数の残り
370491234496630269067681816831234391045404314242054938488112080097652627467167925503324998022594479879958060588201070574559085427616731689115292820929157745181164195395351593205961405567907922719674537<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 19:22:16 UTC 2022 年 12 月 28 日 (水) 4 時 22 分 16 秒 (日本時間)
4511e61792 / 4213Dmitry DomanovFebruary 10, 2024 07:08:25 UTC 2024 年 2 月 10 日 (土) 16 時 8 分 25 秒 (日本時間)

7×10291+6

c255

name 名前Dmitry Domanov
date 日付January 4, 2023 23:02:21 UTC 2023 年 1 月 5 日 (木) 8 時 2 分 21 秒 (日本時間)
composite number 合成数
250271030867925096818897698327177691633519501937922812009159293398100107801720649059599925067952940373366695177128122814421196128051376871601363830169508873774870202539826029157535910834071117955252424983805624339639772296434144506397185381068598207759759<255>
prime factors 素因数
75739299285074382928109289355824847<35>
composite cofactor 合成数の残り
3304374786013433973463562558613252988978784076959860231696537042327620530400467987213859241743692230557529560356138636015170137075914983721462327698424795279468956355165493037761099078577189862184327164253319417543576897<220>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c03b060a97eb with GMP-ECM 7.0.5-dev on Wed Jan  4 10:51:25 2023 
Input number is 250271030867925096818897698327177691633519501937922812009159293398100107801720649059599925067952940373366695177128122814421196128051376871601363830169508873774870202539826029157535910834071117955252424983805624339639772296434144506397185381068598207759759 (255 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:960517064
Step 1 took 0ms
Step 2 took 3822ms
********** Factor found in step 2: 75739299285074382928109289355824847
Found prime factor of 35 digits: 75739299285074382928109289355824847
Composite cofactor 3304374786013433973463562558613252988978784076959860231696537042327620530400467987213859241743692230557529560356138636015170137075914983721462327698424795279468956355165493037761099078577189862184327164253319417543576897 has 220 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 4, 2023 09:16:25 UTC 2023 年 1 月 4 日 (水) 18 時 16 分 25 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 10, 2024 07:08:35 UTC 2024 年 2 月 10 日 (土) 16 時 8 分 35 秒 (日本時間)

7×10292+6

c253

composite cofactor 合成数の残り
2927071979595345806740873000227849442271377218065065080629073529000565607884897122887552638029813033356185323583006629077062247355663710165885639177479354679087229568038857260602486820555006116131777542970245806157098759814157839958368765235371169009361<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 09:16:33 UTC 2023 年 1 月 4 日 (水) 18 時 16 分 33 秒 (日本時間)

7×10293+6

c270

composite cofactor 合成数の残り
758837204392477439750410662969506349550225652746611658507379725710073170799079494233679229138696638800844063964623906746818187370804477475881927106846266821320249431711668146269541559400601447420729657757836672360051099500899190792304578272233899873615532900935422063923<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 2, 2023 23:00:02 UTC 2023 年 1 月 3 日 (火) 8 時 0 分 2 秒 (日本時間)

7×10294+6

c284

composite cofactor 合成数の残り
31965558578198184831133003943993243780508318458952100977509648175254119681823972793009971802008007492230752196386995564574469089653695023119145085447340630574062517832737472660899026137777319802815884306054174447385280532068398625340292494460339084591486052303417574001602739097063183<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 2, 2023 23:00:11 UTC 2023 年 1 月 3 日 (火) 8 時 0 分 11 秒 (日本時間)

7×10295+6

c239

composite cofactor 合成数の残り
22033176232562312741378087636082924495777316209385461821431909229334291115600870781774084665829994341148847374446424362241728905555529928818582761508724689692547003679793348979304064212221709217349570015512249597238575866094672197807845269<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:41:28 UTC 2023 年 1 月 7 日 (土) 3 時 41 分 28 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2024 15:13:55 UTC 2024 年 2 月 16 日 (金) 0 時 13 分 55 秒 (日本時間)

7×10296+6

c258

composite cofactor 合成数の残り
158899374704638672871294971213195811555503337950089582070800407670867038630694726673401047603295968843710725899433893604421670021634577661982712634593638551387858585981246373463476298647515799433804240953684830072503154327660044627527967429138378171623665249<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 09:16:43 UTC 2023 年 1 月 4 日 (水) 18 時 16 分 43 秒 (日本時間)

7×10298+6

c247

composite cofactor 合成数の残り
8758161393914604235311180920440481212492743908716875845127992825468197494758514598479359494473838334839717089047593187656304180400908219984169048231515066032515299167499173649506990148644260587832430159070698583292701470417416568761955163782901729<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 6, 2023 18:41:34 UTC 2023 年 1 月 7 日 (土) 3 時 41 分 34 秒 (日本時間)