Table of contents 目次

83×10108+529

c108

name 名前Rytis Slatkevičius
date 日付February 20, 2023 21:00:13 UTC 2023 年 2 月 21 日 (火) 6 時 0 分 13 秒 (日本時間)
composite number 合成数
768518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519<108>
prime factors 素因数
887469273615664042034622405853704985462543361<45>
865966339755600959852790420345971847981850296081100388249913079<63>
factorization results 素因数分解の結果
P45 = 887469273615664042034622405853704985462543361
P63 = 865966339755600959852790420345971847981850296081100388249913079
software ソフトウェア
yafu2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10125+529

c126

name 名前Bob Backstrom
date 日付February 27, 2023 19:59:18 UTC 2023 年 2 月 28 日 (火) 4 時 59 分 18 秒 (日本時間)
composite number 合成数
230555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<126>
prime factors 素因数
47619537234473532757081990653631667405580965589559<50>
4841616885530082750468078073116907144288074265887641545386328793880357392323<76>
factorization results 素因数分解の結果
Number: n
N=230555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557  ( 126 digits)
SNFS difficulty: 126 digits.
Divisors found:

Tue Feb 28 06:56:54 2023  prp50 factor: 47619537234473532757081990653631667405580965589559
Tue Feb 28 06:56:54 2023  prp76 factor: 4841616885530082750468078073116907144288074265887641545386328793880357392323
Tue Feb 28 06:56:54 2023  elapsed time 00:03:05 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
#
# N = 83x10^125+52 = 92(124)8
#
n: 230555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
m: 10000000000000000000000000000000
deg: 4
c4: 415
c0: 26
skew: 0.50
# Murphy_E = 1.588e-08
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved  special-q in [100000, 8850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 520032 hash collisions in 8172250 relations (8304678 unique)
Msieve: matrix is 279276 x 279523 (28.9 MB)

Sieving start time: 2023/02/28 06:36:04
Sieving end time  : 2023/02/28 06:53:42

Total sieving time: 0hrs 17min 38secs.

Total relation processing time: 0hrs 1min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 6sec.

Prototype def-par.txt line would be:
snfs,126,4,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,75000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10127+529

c121

name 名前Bob Backstrom
date 日付February 24, 2023 17:23:04 UTC 2023 年 2 月 25 日 (土) 2 時 23 分 4 秒 (日本時間)
composite number 合成数
4385879530859270315198471828523481925029529651303976940123401951951009366315231952470339776306616394130226295953951097253<121>
prime factors 素因数
1664720150262636622959298745285167124033<40>
2634604699274725925644775176836578427244796352712751008190560721549131168081994341<82>
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 4385879530859270315198471828523481925029529651303976940123401951951009366315231952470339776306616394130226295953951097253 (121 digits)
Using B1=36480000, B2=192389627446, polynomial Dickson(12), sigma=1:1935578756
Step 1 took 56743ms
Step 2 took 22624ms
********** Factor found in step 2: 1664720150262636622959298745285167124033
Found prime factor of 40 digits: 1664720150262636622959298745285167124033
Prime cofactor 2634604699274725925644775176836578427244796352712751008190560721549131168081994341 has 82 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10131+529

c128

name 名前Bob Backstrom
date 日付February 26, 2023 03:41:27 UTC 2023 年 2 月 26 日 (日) 12 時 41 分 27 秒 (日本時間)
composite number 合成数
12792296263416498671450677221081704242110389810550716060342648590997922407787580067444684877964576128033931951148840678885621459<128>
prime factors 素因数
99019755471218725114476557766500226538762576141<47>
129189334012592390272512862451109532455990064481069053178224251649669674965493599<81>
factorization results 素因数分解の結果
Number: n
N=12792296263416498671450677221081704242110389810550716060342648590997922407787580067444684877964576128033931951148840678885621459  ( 128 digits)
SNFS difficulty: 133 digits.
Divisors found:

Sun Feb 26 10:59:32 2023  prp47 factor: 99019755471218725114476557766500226538762576141
Sun Feb 26 10:59:32 2023  prp81 factor: 129189334012592390272512862451109532455990064481069053178224251649669674965493599
Sun Feb 26 10:59:32 2023  elapsed time 00:07:06 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.764).
Factorization parameters were as follows:
#
# N = 83x10^131+52 = 92(130)8
#
n: 12792296263416498671450677221081704242110389810550716060342648590997922407787580067444684877964576128033931951148840678885621459
m: 500000000000000000000000000000000
deg: 4
c4: 166
c0: 65
skew: 0.79
# Murphy_E = 7.81e-09
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 26175000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 346361 hash collisions in 5764964 relations (6071855 unique)
Msieve: matrix is 220298 x 220546 (59.4 MB)

Sieving start time: 2023/02/26 09:52:18
Sieving end time  : 2023/02/26 10:36:32

Total sieving time: 0hrs 44min 14secs.

Total relation processing time: 0hrs 3min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 31sec.

Prototype def-par.txt line would be:
snfs,133,4,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10132+529

c118

name 名前Norman Powell
date 日付March 9, 2023 14:16:08 UTC 2023 年 3 月 9 日 (木) 23 時 16 分 8 秒 (日本時間)
composite number 合成数
3396464956625761129490075500147787000734745957741288182843714667642874313112870590118159997498933569953276560016006183<118>
prime factors 素因数
342212831014601537484135831341688325340367946143604283<54>
9925007623343149160434304776799432201046581581228833719643799301<64>
factorization results 素因数分解の結果
03/08/23 20:22:16, nfs: commencing nfs on c118: 3396464956625761129490075500147787000734745957741288182843714667642874313112870590118159997498933569953276560016006183
03/08/23 20:22:16, nfs: commencing poly selection with 4 threads
03/08/23 20:22:16, nfs: setting deadline of 2700 seconds
03/08/23 20:22:16, nfs: expecting degree 5 poly E from 3.66e-10 to > 4.21e-10
03/08/23 20:22:16, nfs: searching for avg quality poly E > 3.79e-10
03/08/23 21:06:47, nfs: completed 247 ranges of size 250 in 2670.4969 seconds
03/08/23 21:06:47, nfs: best poly = # norm 3.122064e-11 alpha -5.510281 e 3.734e-10 rroots 5
03/08/23 21:06:47, nfs: commencing lattice sieving with 4 threads
03/09/23 03:10:44, nfs: commencing msieve filtering
03/09/23 03:13:40, nfs: raising min_rels by 5.00 percent to 10687862
03/09/23 03:34:36, nfs: commencing msieve filtering
03/09/23 03:37:25, nfs: commencing msieve linear algebra
03/09/23 03:42:22, nfs: commencing msieve sqrt
03/09/23 03:44:24, prp54 = 342212831014601537484135831341688325340367946143604283
03/09/23 03:44:24, prp64 = 9925007623343149160434304776799432201046581581228833719643799301
03/09/23 03:44:24, NFS elapsed time = 26527.8691 seconds.
software ソフトウェア
YAFU v2.09
execution environment 実行環境
Windows 10 v22H2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10141+529

c103

name 名前Lionel Debroux
date 日付March 7, 2023 08:25:54 UTC 2023 年 3 月 7 日 (火) 17 時 25 分 54 秒 (日本時間)
composite number 合成数
1599894944044973043134849460067372668864172377408236928628214715238959602353409211133186090248006172427<103>
prime factors 素因数
2052488414906192480276010716781899635511567813<46>
779490365171242684427190989624236533299255262671111630479<57>
factorization results 素因数分解の結果
2052488414906192480276010716781899635511567813 779490365171242684427190989624236533299255262671111630479
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10146+529

c128

name 名前Bob Backstrom
date 日付February 24, 2023 14:08:58 UTC 2023 年 2 月 24 日 (金) 23 時 8 分 58 秒 (日本時間)
composite number 合成数
31323061395872162717302871330957240524100832936581355431024520857531432310025046495618150350877763152801266030477661747159115743<128>
prime factors 素因数
389821203431232151021819241402188032638260270566877<51>
80352379809421585342457123979470439761116435968075039925728568174024669710059<77>
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 31323061395872162717302871330957240524100832936581355431024520857531432310025046495618150350877763152801266030477661747159115743 (128 digits)
Using B1=41160000, B2=192394462276, polynomial Dickson(12), sigma=1:2738337246
Step 1 took 66227ms
Step 2 took 24251ms
********** Factor found in step 2: 389821203431232151021819241402188032638260270566877
Found prime factor of 51 digits: 389821203431232151021819241402188032638260270566877
Prime cofactor 80352379809421585342457123979470439761116435968075039925728568174024669710059 has 77 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10148+529

c128

name 名前Bob Backstrom
date 日付February 25, 2023 15:43:20 UTC 2023 年 2 月 26 日 (日) 0 時 43 分 20 秒 (日本時間)
composite number 合成数
22542051809626859603372987143375414132934001986895135439581447494075077104712355095795560267229060361197511278991253970613882369<128>
prime factors 素因数
1573802849996800323369876706196572335480346786484231320244669<61>
14323300920234506840925904387123199425119380329821151419295382673301<68>
factorization results 素因数分解の結果
Number: n
N=22542051809626859603372987143375414132934001986895135439581447494075077104712355095795560267229060361197511278991253970613882369  ( 128 digits)
SNFS difficulty: 149 digits.
Divisors found:

Sun Feb 26 02:40:18 2023  prp61 factor: 1573802849996800323369876706196572335480346786484231320244669
Sun Feb 26 02:40:18 2023  prp68 factor: 14323300920234506840925904387123199425119380329821151419295382673301
Sun Feb 26 02:40:18 2023  elapsed time 00:06:53 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 83x10^148+52 = 92(147)8
#
n: 22542051809626859603372987143375414132934001986895135439581447494075077104712355095795560267229060361197511278991253970613882369
m: 10000000000000000000000000000000000000
deg: 4
c4: 83
c0: 52
skew: 0.89
# Murphy_E = 1.262e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 12300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 573725 hash collisions in 6584521 relations (6722925 unique)
Msieve: matrix is 410384 x 410609 (114.8 MB)

Sieving start time: 2023/02/26 01:17:56
Sieving end time  : 2023/02/26 02:33:18

Total sieving time: 1hrs 15min 22secs.

Total relation processing time: 0hrs 4min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

Prototype def-par.txt line would be:
snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10151+529

c108

name 名前Lionel Debroux
date 日付March 12, 2023 09:39:11 UTC 2023 年 3 月 12 日 (日) 18 時 39 分 11 秒 (日本時間)
composite number 合成数
519763148213709243606045787761368590768243319955084414308293550938327822584686512295806842366084772660699397<108>
prime factors 素因数
135896093536610938120864189605898888660469443<45>
3824710002231837682545934566119731079205533258355362654727113879<64>
factorization results 素因数分解の結果
135896093536610938120864189605898888660469443 3824710002231837682545934566119731079205533258355362654727113879
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10154+529

c149

name 名前Bob Backstrom
date 日付March 1, 2023 06:42:12 UTC 2023 年 3 月 1 日 (水) 15 時 42 分 12 秒 (日本時間)
composite number 合成数
90728111679090952417805796367639927889734081370217480749243677343725746626772532162569035348109554085541524398428895176456339227818507048153234752321<149>
prime factors 素因数
44199246044416765725057132189757787958036369908660701615713479009<65>
2052707224641713040054181140243894890286403185230469113822347983040790510279069222369<85>
factorization results 素因数分解の結果
Number: n
N=90728111679090952417805796367639927889734081370217480749243677343725746626772532162569035348109554085541524398428895176456339227818507048153234752321  ( 149 digits)
SNFS difficulty: 155 digits.
Divisors found:

Wed Mar  1 17:37:27 2023  prp65 factor: 44199246044416765725057132189757787958036369908660701615713479009
Wed Mar  1 17:37:27 2023  prp85 factor: 2052707224641713040054181140243894890286403185230469113822347983040790510279069222369
Wed Mar  1 17:37:27 2023  elapsed time 00:10:14 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.076).
Factorization parameters were as follows:
#
# N = 83x10^154+52 = 92(153)8
#
n: 90728111679090952417805796367639927889734081370217480749243677343725746626772532162569035348109554085541524398428895176456339227818507048153234752321
m: 100000000000000000000000000000000000000
deg: 4
c4: 2075
c0: 13
skew: 0.28
# Murphy_E = 6.395e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 19750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1103837 hash collisions in 12344079 relations (12541810 unique)
Msieve: matrix is 539231 x 539462 (150.0 MB)

Sieving start time: 2023/03/01 15:12:46
Sieving end time  : 2023/03/01 17:27:04

Total sieving time: 2hrs 14min 18secs.

Total relation processing time: 0hrs 7min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,155,4,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10155+529

c104

name 名前Dmitry Domanov
date 日付February 21, 2023 14:14:29 UTC 2023 年 2 月 21 日 (火) 23 時 14 分 29 秒 (日本時間)
composite number 合成数
75005842018393581722787326056817038573071352106690734731179598508380036295905212327951832879870223601063<104>
prime factors 素因数
21093339638024392517942915360876451364817235830719<50>
3555901687714854796814726112310863130334932140894180377<55>
factorization results 素因数分解の結果
N=75005842018393581722787326056817038573071352106690734731179598508380036295905212327951832879870223601063
  ( 104 digits)
Divisors found:
 r1=21093339638024392517942915360876451364817235830719 (pp50)
 r2=3555901687714854796814726112310863130334932140894180377 (pp55)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.10 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 75005842018393581722787326056817038573071352106690734731179598508380036295905212327951832879870223601063
skew: 2359699.85
c0: -4878065735317413925989075168
c1: -201079564968180855428786
c2: -30492213281679977
c3: 25963378426
c4: 11760
Y0: -8936586081944508027124919
Y1: 11154477996883
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 40000
type: gnfs
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1780001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 301572 x 301800
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 0.10 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10163+529

c147

name 名前anonymous
date 日付March 9, 2023 05:00:03 UTC 2023 年 3 月 9 日 (木) 14 時 0 分 3 秒 (日本時間)
composite number 合成数
575143642026400281061727047776725644458905207226429573532787078753188521310685298790920018136736784084578286775139936476021908384329247237259281499<147>
prime factors 素因数
325508042951368892109528997561233244957097<42>
1766910693854428370138272537385766917922332601925606977477304265453714290141687847735183700023742014548067<106>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:9280948725833859488
Step 1 took 9875ms
Step 2 took 3875ms
********** Factor found in step 2: 325508042951368892109528997561233244957097
Found prime factor of 42 digits: 325508042951368892109528997561233244957097
Prime cofactor 1766910693854428370138272537385766917922332601925606977477304265453714290141687847735183700023742014548067 has 106 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10166+529

c119

name 名前Lionel Debroux
date 日付March 15, 2023 19:29:10 UTC 2023 年 3 月 16 日 (木) 4 時 29 分 10 秒 (日本時間)
composite number 合成数
62689475935361787165076650257529844930373961635763224532188101465408241364745272633478658143744427902630829401479451903<119>
prime factors 素因数
340643760863847969530274873021166818071039767<45>
184032362067591682481214971316843833966822505157521060005441671269057682009<75>
factorization results 素因数分解の結果
184032362067591682481214971316843833966822505157521060005441671269057682009 340643760863847969530274873021166818071039767
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10167+529

c144

name 名前anonymous
date 日付April 6, 2023 12:25:18 UTC 2023 年 4 月 6 日 (木) 21 時 25 分 18 秒 (日本時間)
composite number 合成数
103660752288436857542529162578424214017640964705374832349113332808134253676053559079792175542460219468228057296013513019986073365460542985677077<144>
prime factors 素因数
52837464725829869528411889881195036777409879388645937<53>
1961879753813429270596615996337542946692654025168021321311598748758655676255482805794525221<91>
factorization results 素因数分解の結果
Thu Apr 06 20:06:45 2023  
Thu Apr 06 20:06:45 2023  
Thu Apr 06 20:06:45 2023  Msieve v. 1.54 (SVN Unversioned directory)
Thu Apr 06 20:06:45 2023  random seeds: c18a7500 07cefe2f
Thu Apr 06 20:06:45 2023  factoring 103660752288436857542529162578424214017640964705374832349113332808134253676053559079792175542460219468228057296013513019986073365460542985677077 (144 digits)
Thu Apr 06 20:06:45 2023  searching for 15-digit factors
Thu Apr 06 20:06:46 2023  commencing number field sieve (144-digit input)
Thu Apr 06 20:06:46 2023  R0: -1000000000000000000000000000000000
Thu Apr 06 20:06:46 2023  R1: 1
Thu Apr 06 20:06:46 2023  A0: 13
Thu Apr 06 20:06:46 2023  A1: 0
Thu Apr 06 20:06:46 2023  A2: 0
Thu Apr 06 20:06:46 2023  A3: 0
Thu Apr 06 20:06:46 2023  A4: 0
Thu Apr 06 20:06:46 2023  A5: 2075
Thu Apr 06 20:06:46 2023  skew 0.36, size 6.440e-012, alpha 0.078, combined = 2.552e-010 rroots = 1
Thu Apr 06 20:06:46 2023  
Thu Apr 06 20:06:46 2023  commencing relation filtering
Thu Apr 06 20:06:46 2023  estimated available RAM is 15734.8 MB
Thu Apr 06 20:06:46 2023  commencing duplicate removal, pass 1
Thu Apr 06 20:07:46 2023  found 1175204 hash collisions in 10654145 relations
Thu Apr 06 20:07:55 2023  added 372590 free relations
Thu Apr 06 20:07:55 2023  commencing duplicate removal, pass 2
Thu Apr 06 20:07:58 2023  found 927426 duplicates and 10099309 unique relations
Thu Apr 06 20:07:58 2023  memory use: 49.3 MB
Thu Apr 06 20:07:58 2023  reading ideals above 720000
Thu Apr 06 20:07:58 2023  commencing singleton removal, initial pass
Thu Apr 06 20:08:52 2023  memory use: 344.5 MB
Thu Apr 06 20:08:52 2023  reading all ideals from disk
Thu Apr 06 20:08:52 2023  memory use: 292.5 MB
Thu Apr 06 20:08:53 2023  commencing in-memory singleton removal
Thu Apr 06 20:08:53 2023  begin with 10099309 relations and 10938749 unique ideals
Thu Apr 06 20:08:57 2023  reduce to 4283930 relations and 3940183 ideals in 16 passes
Thu Apr 06 20:08:57 2023  max relations containing the same ideal: 67
Thu Apr 06 20:08:58 2023  removing 726832 relations and 622326 ideals in 104506 cliques
Thu Apr 06 20:08:58 2023  commencing in-memory singleton removal
Thu Apr 06 20:08:59 2023  begin with 3557098 relations and 3940183 unique ideals
Thu Apr 06 20:09:00 2023  reduce to 3447847 relations and 3205001 ideals in 11 passes
Thu Apr 06 20:09:00 2023  max relations containing the same ideal: 60
Thu Apr 06 20:09:01 2023  removing 558904 relations and 454398 ideals in 104506 cliques
Thu Apr 06 20:09:01 2023  commencing in-memory singleton removal
Thu Apr 06 20:09:01 2023  begin with 2888943 relations and 3205001 unique ideals
Thu Apr 06 20:09:03 2023  reduce to 2810167 relations and 2669341 ideals in 13 passes
Thu Apr 06 20:09:03 2023  max relations containing the same ideal: 52
Thu Apr 06 20:09:04 2023  relations with 0 large ideals: 2911
Thu Apr 06 20:09:04 2023  relations with 1 large ideals: 2802
Thu Apr 06 20:09:04 2023  relations with 2 large ideals: 36163
Thu Apr 06 20:09:04 2023  relations with 3 large ideals: 193002
Thu Apr 06 20:09:04 2023  relations with 4 large ideals: 533907
Thu Apr 06 20:09:04 2023  relations with 5 large ideals: 820869
Thu Apr 06 20:09:04 2023  relations with 6 large ideals: 742387
Thu Apr 06 20:09:04 2023  relations with 7+ large ideals: 478126
Thu Apr 06 20:09:04 2023  commencing 2-way merge
Thu Apr 06 20:09:05 2023  reduce to 1648635 relation sets and 1507810 unique ideals
Thu Apr 06 20:09:05 2023  ignored 1 oversize relation sets
Thu Apr 06 20:09:05 2023  commencing full merge
Thu Apr 06 20:09:27 2023  memory use: 177.0 MB
Thu Apr 06 20:09:27 2023  found 739635 cycles, need 724010
Thu Apr 06 20:09:27 2023  weight of 724010 cycles is about 65589474 (90.59/cycle)
Thu Apr 06 20:09:27 2023  distribution of cycle lengths:
Thu Apr 06 20:09:27 2023  1 relations: 69002
Thu Apr 06 20:09:27 2023  2 relations: 62118
Thu Apr 06 20:09:27 2023  3 relations: 61653
Thu Apr 06 20:09:27 2023  4 relations: 58323
Thu Apr 06 20:09:27 2023  5 relations: 55607
Thu Apr 06 20:09:27 2023  6 relations: 51783
Thu Apr 06 20:09:27 2023  7 relations: 47734
Thu Apr 06 20:09:27 2023  8 relations: 43829
Thu Apr 06 20:09:27 2023  9 relations: 39889
Thu Apr 06 20:09:27 2023  10+ relations: 234072
Thu Apr 06 20:09:27 2023  heaviest cycle: 26 relations
Thu Apr 06 20:09:28 2023  commencing cycle optimization
Thu Apr 06 20:09:29 2023  start with 5554303 relations
Thu Apr 06 20:09:37 2023  pruned 180678 relations
Thu Apr 06 20:09:37 2023  memory use: 166.3 MB
Thu Apr 06 20:09:37 2023  distribution of cycle lengths:
Thu Apr 06 20:09:37 2023  1 relations: 69002
Thu Apr 06 20:09:37 2023  2 relations: 63543
Thu Apr 06 20:09:37 2023  3 relations: 64009
Thu Apr 06 20:09:37 2023  4 relations: 60078
Thu Apr 06 20:09:37 2023  5 relations: 57665
Thu Apr 06 20:09:37 2023  6 relations: 53226
Thu Apr 06 20:09:37 2023  7 relations: 49154
Thu Apr 06 20:09:37 2023  8 relations: 44989
Thu Apr 06 20:09:37 2023  9 relations: 40657
Thu Apr 06 20:09:37 2023  10+ relations: 221687
Thu Apr 06 20:09:37 2023  heaviest cycle: 26 relations
Thu Apr 06 20:09:38 2023  RelProcTime: 172
Thu Apr 06 20:09:38 2023  elapsed time 00:02:53
Thu Apr 06 20:09:38 2023  
Thu Apr 06 20:09:38 2023  
Thu Apr 06 20:09:38 2023  Msieve v. 1.54 (SVN Unversioned directory)
Thu Apr 06 20:09:38 2023  random seeds: fcc20a60 fdeb1c6b
Thu Apr 06 20:09:38 2023  factoring 103660752288436857542529162578424214017640964705374832349113332808134253676053559079792175542460219468228057296013513019986073365460542985677077 (144 digits)
Thu Apr 06 20:09:38 2023  searching for 15-digit factors
Thu Apr 06 20:09:38 2023  commencing number field sieve (144-digit input)
Thu Apr 06 20:09:38 2023  R0: -1000000000000000000000000000000000
Thu Apr 06 20:09:38 2023  R1: 1
Thu Apr 06 20:09:38 2023  A0: 13
Thu Apr 06 20:09:38 2023  A1: 0
Thu Apr 06 20:09:38 2023  A2: 0
Thu Apr 06 20:09:38 2023  A3: 0
Thu Apr 06 20:09:38 2023  A4: 0
Thu Apr 06 20:09:38 2023  A5: 2075
Thu Apr 06 20:09:38 2023  skew 0.36, size 6.440e-012, alpha 0.078, combined = 2.552e-010 rroots = 1
Thu Apr 06 20:09:38 2023  
Thu Apr 06 20:09:38 2023  commencing linear algebra
Thu Apr 06 20:09:39 2023  read 724010 cycles
Thu Apr 06 20:09:39 2023  cycles contain 2649401 unique relations
Thu Apr 06 20:09:50 2023  read 2649401 relations
Thu Apr 06 20:09:53 2023  using 20 quadratic characters above 4294917295
Thu Apr 06 20:10:01 2023  building initial matrix
Thu Apr 06 20:10:20 2023  memory use: 324.2 MB
Thu Apr 06 20:10:20 2023  read 724010 cycles
Thu Apr 06 20:10:20 2023  matrix is 723823 x 724010 (266.3 MB) with weight 78648872 (108.63/col)
Thu Apr 06 20:10:20 2023  sparse part has weight 61857872 (85.44/col)
Thu Apr 06 20:10:25 2023  filtering completed in 2 passes
Thu Apr 06 20:10:25 2023  matrix is 723003 x 723189 (266.2 MB) with weight 78607237 (108.70/col)
Thu Apr 06 20:10:25 2023  sparse part has weight 61836360 (85.51/col)
Thu Apr 06 20:10:27 2023  matrix starts at (0, 0)
Thu Apr 06 20:10:27 2023  matrix is 723003 x 723189 (266.2 MB) with weight 78607237 (108.70/col)
Thu Apr 06 20:10:27 2023  sparse part has weight 61836360 (85.51/col)
Thu Apr 06 20:10:27 2023  saving the first 112 matrix rows for later
Thu Apr 06 20:10:27 2023  matrix includes 128 packed rows
Thu Apr 06 20:10:27 2023  matrix is 722891 x 723189 (242.3 MB) with weight 59308483 (82.01/col)
Thu Apr 06 20:10:27 2023  sparse part has weight 54846774 (75.84/col)
Thu Apr 06 20:10:27 2023  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
Thu Apr 06 20:10:29 2023  commencing Lanczos iteration (10 threads)
Thu Apr 06 20:10:29 2023  memory use: 272.0 MB
Thu Apr 06 20:10:31 2023  linear algebra at 0.4%, ETA 0h 7m
Thu Apr 06 20:19:05 2023  lanczos halted after 5683 iterations (dim = 722888)
Thu Apr 06 20:19:06 2023  recovered 36 nontrivial dependencies
Thu Apr 06 20:19:06 2023  BLanczosTime: 568
Thu Apr 06 20:19:06 2023  elapsed time 00:09:28
Thu Apr 06 20:19:06 2023  
Thu Apr 06 20:19:06 2023  
Thu Apr 06 20:19:06 2023  Msieve v. 1.54 (SVN Unversioned directory)
Thu Apr 06 20:19:06 2023  random seeds: 29ffa0f8 335cd696
Thu Apr 06 20:19:06 2023  factoring 103660752288436857542529162578424214017640964705374832349113332808134253676053559079792175542460219468228057296013513019986073365460542985677077 (144 digits)
Thu Apr 06 20:19:07 2023  searching for 15-digit factors
Thu Apr 06 20:19:07 2023  commencing number field sieve (144-digit input)
Thu Apr 06 20:19:07 2023  R0: -1000000000000000000000000000000000
Thu Apr 06 20:19:07 2023  R1: 1
Thu Apr 06 20:19:07 2023  A0: 13
Thu Apr 06 20:19:07 2023  A1: 0
Thu Apr 06 20:19:07 2023  A2: 0
Thu Apr 06 20:19:07 2023  A3: 0
Thu Apr 06 20:19:07 2023  A4: 0
Thu Apr 06 20:19:07 2023  A5: 2075
Thu Apr 06 20:19:07 2023  skew 0.36, size 6.440e-012, alpha 0.078, combined = 2.552e-010 rroots = 1
Thu Apr 06 20:19:07 2023  
Thu Apr 06 20:19:07 2023  commencing square root phase
Thu Apr 06 20:19:07 2023  reading relations for dependency 1
Thu Apr 06 20:19:07 2023  read 361065 cycles
Thu Apr 06 20:19:08 2023  cycles contain 1323138 unique relations
Thu Apr 06 20:19:13 2023  read 1323138 relations
Thu Apr 06 20:19:17 2023  multiplying 1323138 relations
Thu Apr 06 20:19:44 2023  multiply complete, coefficients have about 42.33 million bits
Thu Apr 06 20:19:44 2023  initial square root is modulo 1195891
Thu Apr 06 20:20:13 2023  sqrtTime: 66
Thu Apr 06 20:20:13 2023  p53 factor: 52837464725829869528411889881195036777409879388645937
Thu Apr 06 20:20:13 2023  p91 factor: 1961879753813429270596615996337542946692654025168021321311598748758655676255482805794525221
Thu Apr 06 20:20:13 2023  elapsed time 00:01:07

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62078Caleb BirtwistleMarch 23, 2023 11:30:48 UTC 2023 年 3 月 23 日 (木) 20 時 30 分 48 秒 (日本時間)
4511e64480defMarch 25, 2023 05:22:29 UTC 2023 年 3 月 25 日 (土) 14 時 22 分 29 秒 (日本時間)
5043e667441452cccApril 4, 2023 13:50:19 UTC 2023 年 4 月 4 日 (火) 22 時 50 分 19 秒 (日本時間)
3052cccApril 5, 2023 05:08:14 UTC 2023 年 4 月 5 日 (水) 14 時 8 分 14 秒 (日本時間)
684cccApril 5, 2023 10:46:31 UTC 2023 年 4 月 5 日 (水) 19 時 46 分 31 秒 (日本時間)
440cccApril 5, 2023 12:57:12 UTC 2023 年 4 月 5 日 (水) 21 時 57 分 12 秒 (日本時間)
372cccApril 5, 2023 15:24:20 UTC 2023 年 4 月 6 日 (木) 0 時 24 分 20 秒 (日本時間)
372cccApril 5, 2023 15:24:28 UTC 2023 年 4 月 6 日 (木) 0 時 24 分 28 秒 (日本時間)
372cccApril 5, 2023 15:24:38 UTC 2023 年 4 月 6 日 (木) 0 時 24 分 38 秒 (日本時間)

83×10168+529

c167

name 名前Bob Backstrom
date 日付March 11, 2023 13:48:14 UTC 2023 年 3 月 11 日 (土) 22 時 48 分 14 秒 (日本時間)
composite number 合成数
85390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391<167>
prime factors 素因数
2340127427484457738497033490866259559<37>
127999113623119198500769996605756920461<39>
11846164101630735642843447889927856832907<41>
24065096855044249276413046706336654778680671333366087<53>
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 85390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391 (167 digits)
Using B1=30120000, B2=144289285156, polynomial Dickson(12), sigma=1:271842812
Step 1 took 72887ms
Step 2 took 25979ms
********** Factor found in step 2: 127999113623119198500769996605756920461
Found prime factor of 39 digits: 127999113623119198500769996605756920461
Composite cofactor 667121389242450983244298105216732657169843928361002458605757614258716876869953782648009769168490430034696807084695565207703955131 has 129 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 667121389242450983244298105216732657169843928361002458605757614258716876869953782648009769168490430034696807084695565207703955131 (129 digits)
Using B1=42860000, B2=240490660426, polynomial Dickson(12), sigma=1:3038672487
Step 1 took 70356ms
Step 2 took 28761ms
********** Factor found in step 2: 11846164101630735642843447889927856832907
Found prime factor of 41 digits: 11846164101630735642843447889927856832907
Composite cofactor 56315393195559013429465884770386909415289929492204316660102552176412266620319278510175633 has 89 digits

Msieve v. 1.54 (SVN 1034)
Sun Mar 12 00:08:29 2023
random seeds: 4fb16085 39ced8c7
factoring 56315393195559013429465884770386909415289929492204316660102552176412266620319278510175633 (89 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (89-digit input)
using multiplier of 1
using generic 32kb sieve core
sieve interval: 32 blocks of size 32768
processing polynomials in batches of 7
using a sieve bound of 1556179 (58992 primes)
using large prime bound of 124494320 (26 bits)
using double large prime bound of 372622455260160 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors
59414 relations (16473 full + 42941 combined from 624207 partial), need 59088
begin with 640680 relations
reduce to 143226 relations in 9 passes
attempting to read 143226 relations
recovered 143226 relations
recovered 118045 polynomials
attempting to build 59414 cycles
found 59414 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 16473
   length 2 : 11487
   length 3 : 10326
   length 4 : 7861
   length 5 : 5485
   length 6 : 3447
   length 7 : 2031
   length 9+: 2304
largest cycle: 20 relations
matrix is 58992 x 59414 (15.2 MB) with weight 3511029 (59.09/col)
sparse part has weight 3511029 (59.09/col)
filtering completed in 3 passes
matrix is 54553 x 54617 (14.0 MB) with weight 3244097 (59.40/col)
sparse part has weight 3244097 (59.40/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 54505 x 54617 (10.2 MB) with weight 2669281 (48.87/col)
sparse part has weight 2136472 (39.12/col)
using block size 8192 and superblock size 3145728 for processor cache size 32768 kB
commencing Lanczos iteration
memory use: 8.7 MB
lanczos halted after 863 iterations (dim = 54505)
recovered 17 nontrivial dependencies
p37 factor: 2340127427484457738497033490866259559
p53 factor: 24065096855044249276413046706336654778680671333366087
elapsed time 00:33:47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10169+529

c143

name 名前Ignacio Santos
date 日付April 15, 2023 13:16:40 UTC 2023 年 4 月 15 日 (土) 22 時 16 分 40 秒 (日本時間)
composite number 合成数
42911256302480118575689205158363048482547110168805961637840164397731539975808437708207401929560305299195547876668858559569170491508569049253809<143>
prime factors 素因数
821879396485781971645656584575012992425472036382133<51>
52211135217601793204978494096149889412123151568764417245547261134753585182692380439114405773<92>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=2500000, q1=2600000.
->               client 1 q0: 2500000
      LatSieveTime: 89
        LatSieveTime: 90
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-> makeJobFile(): Adjusted to q0=2600001, q1=2700000.
->               client 1 q0: 2600001
      LatSieveTime: 84
        LatSieveTime: 89
        LatSieveTime: 90
        LatSieveTime: 90
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-> makeJobFile(): Adjusted to q0=2700001, q1=2800000.
->               client 1 q0: 2700001
      LatSieveTime: 85
        LatSieveTime: 85
        LatSieveTime: 89
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        LatSieveTime: 89
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        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
-> makeJobFile(): Adjusted to q0=2800001, q1=2900000.
->               client 1 q0: 2800001
      LatSieveTime: 84
        LatSieveTime: 87
        LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 110
-> makeJobFile(): Adjusted to q0=2900001, q1=3000000.
->               client 1 q0: 2900001
      LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
      LatSieveTime: 83
        LatSieveTime: 88
        LatSieveTime: 88
        LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
      LatSieveTime: 87
        LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
      LatSieveTime: 88
        LatSieveTime: 88
        LatSieveTime: 89
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 107
-> makeJobFile(): Adjusted to q0=3300001, q1=3400000.
->               client 1 q0: 3300001
      LatSieveTime: 88
        LatSieveTime: 88
        LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
-> makeJobFile(): Adjusted to q0=3400001, q1=3500000.
->               client 1 q0: 3400001
      LatSieveTime: 90
        LatSieveTime: 90
        LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 106
-> makeJobFile(): Adjusted to q0=3500001, q1=3600000.
->               client 1 q0: 3500001
      LatSieveTime: 86
        LatSieveTime: 88
        LatSieveTime: 88
        LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 90
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 106
-> makeJobFile(): Adjusted to q0=3600001, q1=3700000.
->               client 1 q0: 3600001
      LatSieveTime: 88
        LatSieveTime: 88
        LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 110
-> makeJobFile(): Adjusted to q0=3700001, q1=3800000.
->               client 1 q0: 3700001
      LatSieveTime: 84
        LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
-> makeJobFile(): Adjusted to q0=3800001, q1=3900000.
->               client 1 q0: 3800001
      LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 114
-> makeJobFile(): Adjusted to q0=3900001, q1=4000000.
->               client 1 q0: 3900001
      LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 109
-> makeJobFile(): Adjusted to q0=4000001, q1=4100000.
->               client 1 q0: 4000001
      LatSieveTime: 88
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
-> makeJobFile(): Adjusted to q0=4100001, q1=4200000.
->               client 1 q0: 4100001
      LatSieveTime: 88
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 109
-> makeJobFile(): Adjusted to q0=4200001, q1=4300000.
->               client 1 q0: 4200001
      LatSieveTime: 88
        LatSieveTime: 88
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
-> makeJobFile(): Adjusted to q0=4300001, q1=4400000.
->               client 1 q0: 4300001
      LatSieveTime: 88
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 111
-> makeJobFile(): Adjusted to q0=4400001, q1=4500000.
->               client 1 q0: 4400001
      LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 110
-> makeJobFile(): Adjusted to q0=4500001, q1=4600000.
->               client 1 q0: 4500001
      LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
-> makeJobFile(): Adjusted to q0=4600001, q1=4700000.
->               client 1 q0: 4600001
      LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
-> makeJobFile(): Adjusted to q0=4700001, q1=4800000.
->               client 1 q0: 4700001
      LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
-> makeJobFile(): Adjusted to q0=4800001, q1=4900000.
->               client 1 q0: 4800001
      LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 114
-> makeJobFile(): Adjusted to q0=4900001, q1=5000000.
->               client 1 q0: 4900001
      LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
-> makeJobFile(): Adjusted to q0=5000001, q1=5100000.
->               client 1 q0: 5000001
      LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
-> makeJobFile(): Adjusted to q0=5100001, q1=5200000.
->               client 1 q0: 5100001
      LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 110
-> makeJobFile(): Adjusted to q0=5200001, q1=5300000.
->               client 1 q0: 5200001
      LatSieveTime: 95
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
-> makeJobFile(): Adjusted to q0=5300001, q1=5400000.
->               client 1 q0: 5300001
      LatSieveTime: 87
        LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
-> makeJobFile(): Adjusted to q0=5400001, q1=5500000.
->               client 1 q0: 5400001
      LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
-> makeJobFile(): Adjusted to q0=5500001, q1=5600000.
->               client 1 q0: 5500001
      LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 112
-> makeJobFile(): Adjusted to q0=5600001, q1=5700000.
->               client 1 q0: 5600001
      LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
-> makeJobFile(): Adjusted to q0=5700001, q1=5800000.
->               client 1 q0: 5700001
      LatSieveTime: 88
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
-> makeJobFile(): Adjusted to q0=5800001, q1=5900000.
->               client 1 q0: 5800001
      LatSieveTime: 90
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 111
-> makeJobFile(): Adjusted to q0=5900001, q1=6000000.
->               client 1 q0: 5900001
      LatSieveTime: 87
        LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
Sat Apr 15 14:45:31 2023  
Sat Apr 15 14:45:31 2023  
Sat Apr 15 14:45:31 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 15 14:45:31 2023  random seeds: b189a4e4 9c2fa709
Sat Apr 15 14:45:31 2023  factoring 42911256302480118575689205158363048482547110168805961637840164397731539975808437708207401929560305299195547876668858559569170491508569049253809 (143 digits)
Sat Apr 15 14:45:32 2023  searching for 15-digit factors
Sat Apr 15 14:45:32 2023  commencing number field sieve (143-digit input)
Sat Apr 15 14:45:32 2023  R0: -5000000000000000000000000000000000
Sat Apr 15 14:45:32 2023  R1: 1
Sat Apr 15 14:45:32 2023  A0: 65
Sat Apr 15 14:45:32 2023  A1: 0
Sat Apr 15 14:45:32 2023  A2: 0
Sat Apr 15 14:45:32 2023  A3: 0
Sat Apr 15 14:45:32 2023  A4: 0
Sat Apr 15 14:45:32 2023  A5: 332
Sat Apr 15 14:45:32 2023  skew 0.72, size 2.957e-012, alpha 1.259, combined = 1.627e-010 rroots = 1
Sat Apr 15 14:45:32 2023  
Sat Apr 15 14:45:32 2023  commencing relation filtering
Sat Apr 15 14:45:32 2023  estimated available RAM is 65413.5 MB
Sat Apr 15 14:45:32 2023  commencing duplicate removal, pass 1
Sat Apr 15 14:45:49 2023  found 1275984 hash collisions in 10234141 relations
Sat Apr 15 14:45:57 2023  added 371517 free relations
Sat Apr 15 14:45:57 2023  commencing duplicate removal, pass 2
Sat Apr 15 14:46:01 2023  found 1085097 duplicates and 9520561 unique relations
Sat Apr 15 14:46:01 2023  memory use: 49.3 MB
Sat Apr 15 14:46:01 2023  reading ideals above 100000
Sat Apr 15 14:46:01 2023  commencing singleton removal, initial pass
Sat Apr 15 14:46:37 2023  memory use: 344.5 MB
Sat Apr 15 14:46:37 2023  reading all ideals from disk
Sat Apr 15 14:46:37 2023  memory use: 349.6 MB
Sat Apr 15 14:46:38 2023  keeping 10934232 ideals with weight <= 200, target excess is 49529
Sat Apr 15 14:46:38 2023  commencing in-memory singleton removal
Sat Apr 15 14:46:39 2023  begin with 9520561 relations and 10934232 unique ideals
Sat Apr 15 14:46:44 2023  reduce to 3369735 relations and 3472897 ideals in 23 passes
Sat Apr 15 14:46:44 2023  max relations containing the same ideal: 97
Sat Apr 15 14:46:44 2023  filtering wants 1000000 more relations
Sat Apr 15 14:46:44 2023  elapsed time 00:01:13
-> makeJobFile(): Adjusted to q0=6000001, q1=6100000.
->               client 1 q0: 6000001
   LatSieveTime: 84
        LatSieveTime: 87
        LatSieveTime: 89
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
Sat Apr 15 14:48:37 2023  
Sat Apr 15 14:48:37 2023  
Sat Apr 15 14:48:37 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 15 14:48:37 2023  random seeds: aa0891b8 a39c319f
Sat Apr 15 14:48:37 2023  factoring 42911256302480118575689205158363048482547110168805961637840164397731539975808437708207401929560305299195547876668858559569170491508569049253809 (143 digits)
Sat Apr 15 14:48:37 2023  searching for 15-digit factors
Sat Apr 15 14:48:37 2023  commencing number field sieve (143-digit input)
Sat Apr 15 14:48:37 2023  R0: -5000000000000000000000000000000000
Sat Apr 15 14:48:37 2023  R1: 1
Sat Apr 15 14:48:37 2023  A0: 65
Sat Apr 15 14:48:37 2023  A1: 0
Sat Apr 15 14:48:37 2023  A2: 0
Sat Apr 15 14:48:37 2023  A3: 0
Sat Apr 15 14:48:37 2023  A4: 0
Sat Apr 15 14:48:37 2023  A5: 332
Sat Apr 15 14:48:37 2023  skew 0.72, size 2.957e-012, alpha 1.259, combined = 1.627e-010 rroots = 1
Sat Apr 15 14:48:37 2023  
Sat Apr 15 14:48:37 2023  commencing relation filtering
Sat Apr 15 14:48:37 2023  estimated available RAM is 65413.5 MB
Sat Apr 15 14:48:37 2023  commencing duplicate removal, pass 1
Sat Apr 15 14:48:59 2023  found 1353817 hash collisions in 10872899 relations
Sat Apr 15 14:49:06 2023  added 525 free relations
Sat Apr 15 14:49:06 2023  commencing duplicate removal, pass 2
Sat Apr 15 14:49:10 2023  found 1134397 duplicates and 9739027 unique relations
Sat Apr 15 14:49:10 2023  memory use: 49.3 MB
Sat Apr 15 14:49:10 2023  reading ideals above 100000
Sat Apr 15 14:49:10 2023  commencing singleton removal, initial pass
Sat Apr 15 14:49:47 2023  memory use: 344.5 MB
Sat Apr 15 14:49:47 2023  reading all ideals from disk
Sat Apr 15 14:49:47 2023  memory use: 357.8 MB
Sat Apr 15 14:49:48 2023  keeping 11020254 ideals with weight <= 200, target excess is 50781
Sat Apr 15 14:49:49 2023  commencing in-memory singleton removal
Sat Apr 15 14:49:49 2023  begin with 9739027 relations and 11020254 unique ideals
Sat Apr 15 14:49:54 2023  reduce to 3685286 relations and 3709143 ideals in 20 passes
Sat Apr 15 14:49:54 2023  max relations containing the same ideal: 104
Sat Apr 15 14:49:54 2023  filtering wants 1000000 more relations
Sat Apr 15 14:49:54 2023  elapsed time 00:01:17
-> makeJobFile(): Adjusted to q0=6100001, q1=6200000.
->               client 1 q0: 6100001
     LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
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        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
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        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
Sat Apr 15 14:51:45 2023  
Sat Apr 15 14:51:45 2023  
Sat Apr 15 14:51:45 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 15 14:51:45 2023  random seeds: f7cc8868 22fb3b09
Sat Apr 15 14:51:45 2023  factoring 42911256302480118575689205158363048482547110168805961637840164397731539975808437708207401929560305299195547876668858559569170491508569049253809 (143 digits)
Sat Apr 15 14:51:45 2023  searching for 15-digit factors
Sat Apr 15 14:51:45 2023  commencing number field sieve (143-digit input)
Sat Apr 15 14:51:45 2023  R0: -5000000000000000000000000000000000
Sat Apr 15 14:51:45 2023  R1: 1
Sat Apr 15 14:51:45 2023  A0: 65
Sat Apr 15 14:51:45 2023  A1: 0
Sat Apr 15 14:51:45 2023  A2: 0
Sat Apr 15 14:51:45 2023  A3: 0
Sat Apr 15 14:51:45 2023  A4: 0
Sat Apr 15 14:51:45 2023  A5: 332
Sat Apr 15 14:51:45 2023  skew 0.72, size 2.957e-012, alpha 1.259, combined = 1.627e-010 rroots = 1
Sat Apr 15 14:51:45 2023  
Sat Apr 15 14:51:45 2023  commencing relation filtering
Sat Apr 15 14:51:45 2023  estimated available RAM is 65413.5 MB
Sat Apr 15 14:51:45 2023  commencing duplicate removal, pass 1
Sat Apr 15 14:52:07 2023  found 1410930 hash collisions in 11137454 relations
Sat Apr 15 14:52:14 2023  added 532 free relations
Sat Apr 15 14:52:14 2023  commencing duplicate removal, pass 2
Sat Apr 15 14:52:18 2023  found 1184048 duplicates and 9953938 unique relations
Sat Apr 15 14:52:18 2023  memory use: 49.3 MB
Sat Apr 15 14:52:18 2023  reading ideals above 100000
Sat Apr 15 14:52:18 2023  commencing singleton removal, initial pass
Sat Apr 15 14:52:56 2023  memory use: 344.5 MB
Sat Apr 15 14:52:56 2023  reading all ideals from disk
Sat Apr 15 14:52:56 2023  memory use: 365.8 MB
Sat Apr 15 14:52:56 2023  keeping 11102622 ideals with weight <= 200, target excess is 51952
Sat Apr 15 14:52:57 2023  commencing in-memory singleton removal
Sat Apr 15 14:52:58 2023  begin with 9953938 relations and 11102622 unique ideals
Sat Apr 15 14:53:03 2023  reduce to 3991447 relations and 3931721 ideals in 19 passes
Sat Apr 15 14:53:03 2023  max relations containing the same ideal: 109
Sat Apr 15 14:53:03 2023  filtering wants 1000000 more relations
Sat Apr 15 14:53:03 2023  elapsed time 00:01:18
-> makeJobFile(): Adjusted to q0=6200001, q1=6300000.
->               client 1 q0: 6200001
     LatSieveTime: 87
        LatSieveTime: 87
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
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        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
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        LatSieveTime: 96
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        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
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        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
Sat Apr 15 14:54:52 2023  
Sat Apr 15 14:54:52 2023  
Sat Apr 15 14:54:52 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 15 14:54:52 2023  random seeds: 394c50a0 30e68c02
Sat Apr 15 14:54:52 2023  factoring 42911256302480118575689205158363048482547110168805961637840164397731539975808437708207401929560305299195547876668858559569170491508569049253809 (143 digits)
Sat Apr 15 14:54:52 2023  searching for 15-digit factors
Sat Apr 15 14:54:52 2023  commencing number field sieve (143-digit input)
Sat Apr 15 14:54:52 2023  R0: -5000000000000000000000000000000000
Sat Apr 15 14:54:52 2023  R1: 1
Sat Apr 15 14:54:52 2023  A0: 65
Sat Apr 15 14:54:52 2023  A1: 0
Sat Apr 15 14:54:52 2023  A2: 0
Sat Apr 15 14:54:52 2023  A3: 0
Sat Apr 15 14:54:52 2023  A4: 0
Sat Apr 15 14:54:52 2023  A5: 332
Sat Apr 15 14:54:52 2023  skew 0.72, size 2.957e-012, alpha 1.259, combined = 1.627e-010 rroots = 1
Sat Apr 15 14:54:52 2023  
Sat Apr 15 14:54:52 2023  commencing relation filtering
Sat Apr 15 14:54:52 2023  estimated available RAM is 65413.5 MB
Sat Apr 15 14:54:52 2023  commencing duplicate removal, pass 1
Sat Apr 15 14:55:15 2023  found 1468703 hash collisions in 11402038 relations
Sat Apr 15 14:55:22 2023  added 549 free relations
Sat Apr 15 14:55:22 2023  commencing duplicate removal, pass 2
Sat Apr 15 14:55:26 2023  found 1234148 duplicates and 10168439 unique relations
Sat Apr 15 14:55:26 2023  memory use: 49.3 MB
Sat Apr 15 14:55:26 2023  reading ideals above 720000
Sat Apr 15 14:55:26 2023  commencing singleton removal, initial pass
Sat Apr 15 14:56:00 2023  memory use: 344.5 MB
Sat Apr 15 14:56:00 2023  reading all ideals from disk
Sat Apr 15 14:56:00 2023  memory use: 300.8 MB
Sat Apr 15 14:56:01 2023  keeping 11120761 ideals with weight <= 200, target excess is 115738
Sat Apr 15 14:56:01 2023  commencing in-memory singleton removal
Sat Apr 15 14:56:01 2023  begin with 10168439 relations and 11120761 unique ideals
Sat Apr 15 14:56:06 2023  reduce to 4294623 relations and 4084049 ideals in 17 passes
Sat Apr 15 14:56:06 2023  max relations containing the same ideal: 67
Sat Apr 15 14:56:07 2023  removing 396212 relations and 358053 ideals in 38159 cliques
Sat Apr 15 14:56:07 2023  commencing in-memory singleton removal
Sat Apr 15 14:56:08 2023  begin with 3898411 relations and 4084049 unique ideals
Sat Apr 15 14:56:09 2023  reduce to 3865957 relations and 3693133 ideals in 8 passes
Sat Apr 15 14:56:09 2023  max relations containing the same ideal: 64
Sat Apr 15 14:56:09 2023  removing 292087 relations and 253928 ideals in 38159 cliques
Sat Apr 15 14:56:10 2023  commencing in-memory singleton removal
Sat Apr 15 14:56:10 2023  begin with 3573870 relations and 3693133 unique ideals
Sat Apr 15 14:56:10 2023  reduce to 3554001 relations and 3419123 ideals in 9 passes
Sat Apr 15 14:56:10 2023  max relations containing the same ideal: 60
Sat Apr 15 14:56:11 2023  relations with 0 large ideals: 2830
Sat Apr 15 14:56:11 2023  relations with 1 large ideals: 2037
Sat Apr 15 14:56:11 2023  relations with 2 large ideals: 29828
Sat Apr 15 14:56:11 2023  relations with 3 large ideals: 175231
Sat Apr 15 14:56:11 2023  relations with 4 large ideals: 548181
Sat Apr 15 14:56:11 2023  relations with 5 large ideals: 965950
Sat Apr 15 14:56:11 2023  relations with 6 large ideals: 1020288
Sat Apr 15 14:56:11 2023  relations with 7+ large ideals: 809656
Sat Apr 15 14:56:11 2023  commencing 2-way merge
Sat Apr 15 14:56:13 2023  reduce to 2092968 relation sets and 1958090 unique ideals
Sat Apr 15 14:56:13 2023  ignored 1 oversize relation sets
Sat Apr 15 14:56:13 2023  commencing full merge
Sat Apr 15 14:56:37 2023  memory use: 230.1 MB
Sat Apr 15 14:56:37 2023  found 1043030 cycles, need 1026290
Sat Apr 15 14:56:37 2023  weight of 1026290 cycles is about 72063660 (70.22/cycle)
Sat Apr 15 14:56:37 2023  distribution of cycle lengths:
Sat Apr 15 14:56:37 2023  1 relations: 136030
Sat Apr 15 14:56:37 2023  2 relations: 121911
Sat Apr 15 14:56:37 2023  3 relations: 115883
Sat Apr 15 14:56:37 2023  4 relations: 103673
Sat Apr 15 14:56:37 2023  5 relations: 92554
Sat Apr 15 14:56:37 2023  6 relations: 77818
Sat Apr 15 14:56:37 2023  7 relations: 67313
Sat Apr 15 14:56:37 2023  8 relations: 57444
Sat Apr 15 14:56:37 2023  9 relations: 48718
Sat Apr 15 14:56:37 2023  10+ relations: 204946
Sat Apr 15 14:56:37 2023  heaviest cycle: 23 relations
Sat Apr 15 14:56:37 2023  commencing cycle optimization
Sat Apr 15 14:56:38 2023  start with 6122651 relations
Sat Apr 15 14:56:46 2023  pruned 140857 relations
Sat Apr 15 14:56:46 2023  memory use: 203.4 MB
Sat Apr 15 14:56:46 2023  distribution of cycle lengths:
Sat Apr 15 14:56:46 2023  1 relations: 136030
Sat Apr 15 14:56:46 2023  2 relations: 124533
Sat Apr 15 14:56:46 2023  3 relations: 119857
Sat Apr 15 14:56:46 2023  4 relations: 105849
Sat Apr 15 14:56:46 2023  5 relations: 94454
Sat Apr 15 14:56:46 2023  6 relations: 78589
Sat Apr 15 14:56:46 2023  7 relations: 67874
Sat Apr 15 14:56:46 2023  8 relations: 57286
Sat Apr 15 14:56:46 2023  9 relations: 48282
Sat Apr 15 14:56:46 2023  10+ relations: 193536
Sat Apr 15 14:56:46 2023  heaviest cycle: 23 relations
Sat Apr 15 14:56:47 2023  RelProcTime: 115
Sat Apr 15 14:56:47 2023  elapsed time 00:01:55
Sat Apr 15 14:56:47 2023  
Sat Apr 15 14:56:47 2023  
Sat Apr 15 14:56:47 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 15 14:56:47 2023  random seeds: 7cdd6730 a49579d5
Sat Apr 15 14:56:47 2023  factoring 42911256302480118575689205158363048482547110168805961637840164397731539975808437708207401929560305299195547876668858559569170491508569049253809 (143 digits)
Sat Apr 15 14:56:47 2023  searching for 15-digit factors
Sat Apr 15 14:56:48 2023  commencing number field sieve (143-digit input)
Sat Apr 15 14:56:48 2023  R0: -5000000000000000000000000000000000
Sat Apr 15 14:56:48 2023  R1: 1
Sat Apr 15 14:56:48 2023  A0: 65
Sat Apr 15 14:56:48 2023  A1: 0
Sat Apr 15 14:56:48 2023  A2: 0
Sat Apr 15 14:56:48 2023  A3: 0
Sat Apr 15 14:56:48 2023  A4: 0
Sat Apr 15 14:56:48 2023  A5: 332
Sat Apr 15 14:56:48 2023  skew 0.72, size 2.957e-012, alpha 1.259, combined = 1.627e-010 rroots = 1
Sat Apr 15 14:56:48 2023  
Sat Apr 15 14:56:48 2023  commencing linear algebra
Sat Apr 15 14:56:48 2023  read 1026290 cycles
Sat Apr 15 14:56:49 2023  cycles contain 3417600 unique relations
Sat Apr 15 14:56:55 2023  read 3417600 relations
Sat Apr 15 14:56:58 2023  using 20 quadratic characters above 134216610
Sat Apr 15 14:57:07 2023  building initial matrix
Sat Apr 15 14:57:25 2023  memory use: 412.6 MB
Sat Apr 15 14:57:26 2023  read 1026290 cycles
Sat Apr 15 14:57:26 2023  matrix is 1026106 x 1026290 (307.9 MB) with weight 90667769 (88.35/col)
Sat Apr 15 14:57:26 2023  sparse part has weight 69428671 (67.65/col)
Sat Apr 15 14:57:30 2023  filtering completed in 2 passes
Sat Apr 15 14:57:31 2023  matrix is 1023826 x 1024010 (307.7 MB) with weight 90586233 (88.46/col)
Sat Apr 15 14:57:31 2023  sparse part has weight 69396399 (67.77/col)
Sat Apr 15 14:57:32 2023  matrix starts at (0, 0)
Sat Apr 15 14:57:32 2023  matrix is 1023826 x 1024010 (307.7 MB) with weight 90586233 (88.46/col)
Sat Apr 15 14:57:32 2023  sparse part has weight 69396399 (67.77/col)
Sat Apr 15 14:57:32 2023  saving the first 48 matrix rows for later
Sat Apr 15 14:57:32 2023  matrix includes 64 packed rows
Sat Apr 15 14:57:33 2023  matrix is 1023778 x 1024010 (290.7 MB) with weight 71981529 (70.29/col)
Sat Apr 15 14:57:33 2023  sparse part has weight 65972166 (64.43/col)
Sat Apr 15 14:57:33 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Sat Apr 15 14:57:35 2023  commencing Lanczos iteration (32 threads)
Sat Apr 15 14:57:35 2023  memory use: 232.1 MB
Sat Apr 15 14:57:36 2023  linear algebra at 0.1%, ETA 0h11m
Sat Apr 15 14:57:37 2023  checkpointing every 3640000 dimensions
Sat Apr 15 15:08:21 2023  lanczos halted after 16190 iterations (dim = 1023776)
Sat Apr 15 15:08:21 2023  recovered 38 nontrivial dependencies
Sat Apr 15 15:08:21 2023  BLanczosTime: 693
Sat Apr 15 15:08:21 2023  elapsed time 00:11:34
Sat Apr 15 15:08:21 2023  
Sat Apr 15 15:08:21 2023  
Sat Apr 15 15:08:21 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 15 15:08:21 2023  random seeds: ebe1bc00 81f421c7
Sat Apr 15 15:08:21 2023  factoring 42911256302480118575689205158363048482547110168805961637840164397731539975808437708207401929560305299195547876668858559569170491508569049253809 (143 digits)
Sat Apr 15 15:08:22 2023  searching for 15-digit factors
Sat Apr 15 15:08:22 2023  commencing number field sieve (143-digit input)
Sat Apr 15 15:08:22 2023  R0: -5000000000000000000000000000000000
Sat Apr 15 15:08:22 2023  R1: 1
Sat Apr 15 15:08:22 2023  A0: 65
Sat Apr 15 15:08:22 2023  A1: 0
Sat Apr 15 15:08:22 2023  A2: 0
Sat Apr 15 15:08:22 2023  A3: 0
Sat Apr 15 15:08:22 2023  A4: 0
Sat Apr 15 15:08:22 2023  A5: 332
Sat Apr 15 15:08:22 2023  skew 0.72, size 2.957e-012, alpha 1.259, combined = 1.627e-010 rroots = 1
Sat Apr 15 15:08:22 2023  
Sat Apr 15 15:08:22 2023  commencing square root phase
Sat Apr 15 15:08:22 2023  reading relations for dependency 1
Sat Apr 15 15:08:22 2023  read 512065 cycles
Sat Apr 15 15:08:23 2023  cycles contain 1708660 unique relations
Sat Apr 15 15:08:26 2023  read 1708660 relations
Sat Apr 15 15:08:30 2023  multiplying 1708660 relations
Sat Apr 15 15:08:58 2023  multiply complete, coefficients have about 51.31 million bits
Sat Apr 15 15:08:58 2023  initial square root is modulo 23227471
Sat Apr 15 15:09:35 2023  GCD is 1, no factor found
Sat Apr 15 15:09:35 2023  reading relations for dependency 2
Sat Apr 15 15:09:35 2023  read 512432 cycles
Sat Apr 15 15:09:35 2023  cycles contain 1709690 unique relations
Sat Apr 15 15:09:39 2023  read 1709690 relations
Sat Apr 15 15:09:43 2023  multiplying 1709690 relations
Sat Apr 15 15:10:10 2023  multiply complete, coefficients have about 51.34 million bits
Sat Apr 15 15:10:10 2023  initial square root is modulo 23470801
Sat Apr 15 15:10:47 2023  GCD is N, no factor found
Sat Apr 15 15:10:47 2023  reading relations for dependency 3
Sat Apr 15 15:10:47 2023  read 512492 cycles
Sat Apr 15 15:10:47 2023  cycles contain 1707458 unique relations
Sat Apr 15 15:10:51 2023  read 1707458 relations
Sat Apr 15 15:10:55 2023  multiplying 1707458 relations
Sat Apr 15 15:11:23 2023  multiply complete, coefficients have about 51.27 million bits
Sat Apr 15 15:11:23 2023  initial square root is modulo 22986961
Sat Apr 15 15:11:59 2023  sqrtTime: 217
Sat Apr 15 15:11:59 2023  prp51 factor: 821879396485781971645656584575012992425472036382133
Sat Apr 15 15:11:59 2023  prp92 factor: 52211135217601793204978494096149889412123151568764417245547261134753585182692380439114405773
Sat Apr 15 15:11:59 2023  elapsed time 00:03:38
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62078Caleb BirtwistleMarch 23, 2023 11:31:22 UTC 2023 年 3 月 23 日 (木) 20 時 31 分 22 秒 (日本時間)

83×10170+529

c143

name 名前Bob Backstrom
date 日付March 11, 2023 19:30:01 UTC 2023 年 3 月 12 日 (日) 4 時 30 分 1 秒 (日本時間)
composite number 合成数
41792823287930823466314654235475737897127766536146204261179126390875678802108601443826835204527480567458368187513749166090544600510527664793741<143>
prime factors 素因数
34064196911052748777038954840342667767241<41>
1226884150448601392768352572374755076363806089932506925759109337096730173490447024414556120072655566501<103>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 41792823287930823466314654235475737897127766536146204261179126390875678802108601443826835204527480567458368187513749166090544600510527664793741 (143 digits)
Using B1=31920000, B2=144291357226, polynomial Dickson(12), sigma=1:3157642682
Step 1 took 65280ms
Step 2 took 22755ms
********** Factor found in step 2: 34064196911052748777038954840342667767241
Found prime factor of 41 digits: 34064196911052748777038954840342667767241
Prime cofactor 1226884150448601392768352572374755076363806089932506925759109337096730173490447024414556120072655566501 has 103 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10171+529

c167

name 名前Bob Backstrom
date 日付March 11, 2023 10:55:48 UTC 2023 年 3 月 11 日 (土) 19 時 55 分 48 秒 (日本時間)
composite number 合成数
11428294474378314549623306891289106109098079000082063415743728620139463745869979605313523555229504937298593521175941209548656721021287470348394999308794719742420011577<167>
prime factors 素因数
1050511590745561275066344846371186004832611032653580744450665187271558647<73>
10878789510801599410028106919135181614978626554909240660604724818376472948463219900232420730191<95>
factorization results 素因数分解の結果
Number: n
N=11428294474378314549623306891289106109098079000082063415743728620139463745869979605313523555229504937298593521175941209548656721021287470348394999308794719742420011577  ( 167 digits)
SNFS difficulty: 172 digits.
Divisors found:

Sat Mar 11 21:48:26 2023  prp73 factor: 1050511590745561275066344846371186004832611032653580744450665187271558647
Sat Mar 11 21:48:26 2023  prp95 factor: 10878789510801599410028106919135181614978626554909240660604724818376472948463219900232420730191
Sat Mar 11 21:48:26 2023  elapsed time 00:27:14 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 83x10^171+52 = 92(170)8
#
n: 11428294474378314549623306891289106109098079000082063415743728620139463745869979605313523555229504937298593521175941209548656721021287470348394999308794719742420011577
m: 10000000000000000000000000000000000
deg: 5
c5: 415
c0: 26
skew: 0.57
# Murphy_E = 1.492e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 21050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1663199 hash collisions in 13622397 relations (12725957 unique)
Msieve: matrix is 916235 x 916462 (258.4 MB)

Sieving start time: 2023/03/11 18:50:49
Sieving end time  : 2023/03/11 21:20:50

Total sieving time: 2hrs 30min 1secs.

Total relation processing time: 0hrs 23min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 4sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10175+529

c166

name 名前Bob Backstrom
date 日付March 13, 2023 16:37:21 UTC 2023 年 3 月 14 日 (火) 1 時 37 分 21 秒 (日本時間)
composite number 合成数
2315205920272912660653938113254122826766831730245696891434075381999021738513887805496646711349070465977297965525440258145523485705073229872714154911723056394056166271<166>
prime factors 素因数
24397575278593881015820508097784349<35>
13202663034977600270473813558914835574058195878716771891269631<62>
7187558930778028246221137240773503127616133115826954855323542873814709<70>
factorization results 素因数分解の結果
Number: n
N=94894918607106197940566733438676545428030104032637485792494395350670047605493089776804378415917701477845681106648987542154252802379  ( 131 digits)
Divisors found:

Tue Mar 14 03:29:12 2023  prp62 factor: 13202663034977600270473813558914835574058195878716771891269631
Tue Mar 14 03:29:12 2023  prp70 factor: 7187558930778028246221137240773503127616133115826954855323542873814709
Tue Mar 14 03:29:12 2023  elapsed time 00:33:11 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 83x10^175+52 = 92(174)8
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 2315205920272912660653938113254122826766831730245696891434075381999021738513887805496646711349070465977297965525440258145523485705073229872714154911723056394056166271 (166 digits)
# Using B1=31380000, B2=144290666536, polynomial Dickson(12), sigma=1:1787524652
# Step 1 took 76050ms
# Step 2 took 25875ms
# ********** Factor found in step 2: 24397575278593881015820508097784349
# Found prime factor of 35 digits: 24397575278593881015820508097784349
# Composite cofactor 94894918607106197940566733438676545428030104032637485792494395350670047605493089776804378415917701477845681106648987542154252802379 has 131 digits

n: 94894918607106197940566733438676545428030104032637485792494395350670047605493089776804378415917701477845681106648987542154252802379

Y0: -60204255095240914399830462
Y1: 820918926215033
c0: -11007308406742092278877831847437365
c1: 27520028727765452581589407826
c2: 22151471854246469732151
c3: -4017101014910420
c4: -1503901312
c5: 120

# skew 3718240.78, size 1.146e-12, alpha -6.790, combined = 6.609e-11 rroots = 5

skew: 3718240.78

type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved  special-q in [100000, 34040000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1567814 hash collisions in 7586568 relations (6042395 unique)
Msieve: matrix is 1016648 x 1016875 (294.3 MB)

Sieving start time: 2023/03/13 22:40:07
Sieving end time  : 2023/03/14 02:55:48

Total sieving time: 4hrs 15min 41secs.

Total relation processing time: 0hrs 29min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 46sec.

Prototype def-par.txt line would be:
gnfs,130,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,26,26,50,50,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10179+529

c168

name 名前Bob Backstrom
date 日付March 19, 2023 21:19:51 UTC 2023 年 3 月 20 日 (月) 6 時 19 分 51 秒 (日本時間)
composite number 合成数
132217039717185745542083802177349059946410767341604784134072251383004699364647169458199347497093431084854120609444065856070790316456021859020695147412382687276778110303<168>
prime factors 素因数
5327240794757774863070626542930652750482389718416256746315456480787294837667342333<82>
24819047009718948250108062040322619107027554724288557692742048002945784201912252126091<86>
factorization results 素因数分解の結果
Number: n
N=132217039717185745542083802177349059946410767341604784134072251383004699364647169458199347497093431084854120609444065856070790316456021859020695147412382687276778110303  ( 168 digits)
SNFS difficulty: 181 digits.
Divisors found:

Mon Mar 20 06:10:38 2023  prp82 factor: 5327240794757774863070626542930652750482389718416256746315456480787294837667342333
Mon Mar 20 06:10:38 2023  prp86 factor: 24819047009718948250108062040322619107027554724288557692742048002945784201912252126091
Mon Mar 20 06:10:38 2023  elapsed time 00:37:40 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 83x10^179+52 = 92(178)8
#
n: 132217039717185745542083802177349059946410767341604784134072251383004699364647169458199347497093431084854120609444065856070790316456021859020695147412382687276778110303
m: 500000000000000000000000000000000000
deg: 5
c5: 332
c0: 65
skew: 0.72
# Murphy_E = 6.476e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 14800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1853717 hash collisions in 14870624 relations (13865556 unique)
Msieve: matrix is 1062784 x 1063009 (298.7 MB)

Sieving start time: 2023/03/20 00:03:01
Sieving end time  : 2023/03/20 05:32:43

Total sieving time: 5hrs 29min 42secs.

Total relation processing time: 0hrs 31min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 27sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7200000,7200000,27,27,52,52,2.5,2.5,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10182+529

c117

name 名前Ignacio Santos
date 日付February 24, 2023 12:13:24 UTC 2023 年 2 月 24 日 (金) 21 時 13 分 24 秒 (日本時間)
composite number 合成数
960290848900740529886710471467191165061253058096300116594414123269561637784775945104629440404548126296816936294539971<117>
prime factors 素因数
850127666186484885213911504294172960757512661863199154929<57>
1129584281392025812311206238383593174209736525866811462138099<61>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1800000, q1=1900000.
->               client 1 q0: 1800000
      LatSieveTime: 90
        LatSieveTime: 95
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        LatSieveTime: 99
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        LatSieveTime: 132
-> makeJobFile(): Adjusted to q0=1900001, q1=2000000.
->               client 1 q0: 1900001
      LatSieveTime: 97
        LatSieveTime: 102
        LatSieveTime: 108
        LatSieveTime: 110
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        LatSieveTime: 131
        LatSieveTime: 133
-> makeJobFile(): Adjusted to q0=2000001, q1=2100000.
->               client 1 q0: 2000001
      LatSieveTime: 84
        LatSieveTime: 97
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
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        LatSieveTime: 131
        LatSieveTime: 136
        LatSieveTime: 142
-> makeJobFile(): Adjusted to q0=2100001, q1=2200000.
->               client 1 q0: 2100001
      LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 104
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-> makeJobFile(): Adjusted to q0=2200001, q1=2300000.
->               client 1 q0: 2200001
      LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 99
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 110
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-> makeJobFile(): Adjusted to q0=2300001, q1=2400000.
->               client 1 q0: 2300001
      LatSieveTime: 98
        LatSieveTime: 103
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-> makeJobFile(): Adjusted to q0=2400001, q1=2500000.
->               client 1 q0: 2400001
      LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
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        LatSieveTime: 109
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        LatSieveTime: 114
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        LatSieveTime: 116
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        LatSieveTime: 117
        LatSieveTime: 117
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        LatSieveTime: 135
        LatSieveTime: 144
-> makeJobFile(): Adjusted to q0=2500001, q1=2600000.
->               client 1 q0: 2500001
      LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 106
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-> makeJobFile(): Adjusted to q0=2600001, q1=2700000.
->               client 1 q0: 2600001
      LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 105
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        LatSieveTime: 108
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        LatSieveTime: 111
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-> makeJobFile(): Adjusted to q0=2700001, q1=2800000.
->               client 1 q0: 2700001
      LatSieveTime: 96
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 111
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        LatSieveTime: 153
-> makeJobFile(): Adjusted to q0=2800001, q1=2900000.
->               client 1 q0: 2800001
      LatSieveTime: 100
        LatSieveTime: 103
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        LatSieveTime: 108
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        LatSieveTime: 111
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        LatSieveTime: 144
-> makeJobFile(): Adjusted to q0=2900001, q1=3000000.
->               client 1 q0: 2900001
      LatSieveTime: 87
        LatSieveTime: 109
        LatSieveTime: 109
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-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
      LatSieveTime: 97
        LatSieveTime: 101
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        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 140
-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
      LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 143
Fri Feb 24 12:53:19 2023  
Fri Feb 24 12:53:19 2023  
Fri Feb 24 12:53:19 2023  Msieve v. 1.52 (SVN 927)
Fri Feb 24 12:53:19 2023  random seeds: c99f5518 5122eac2
Fri Feb 24 12:53:19 2023  factoring 960290848900740529886710471467191165061253058096300116594414123269561637784775945104629440404548126296816936294539971 (117 digits)
Fri Feb 24 12:53:19 2023  searching for 15-digit factors
Fri Feb 24 12:53:19 2023  commencing number field sieve (117-digit input)
Fri Feb 24 12:53:19 2023  R0: -36073666660963587494127
Fri Feb 24 12:53:19 2023  R1: 762406684303
Fri Feb 24 12:53:19 2023  A0: -10682745934411389143475488240
Fri Feb 24 12:53:19 2023  A1: 683029543605249786807772
Fri Feb 24 12:53:19 2023  A2: 10747618234868578694
Fri Feb 24 12:53:19 2023  A3: -521120515366727
Fri Feb 24 12:53:19 2023  A4: -2039310502
Fri Feb 24 12:53:19 2023  A5: 15720
Fri Feb 24 12:53:19 2023  skew 76056.18, size 2.400e-011, alpha -5.613, combined = 3.524e-010 rroots = 5
Fri Feb 24 12:53:19 2023  
Fri Feb 24 12:53:19 2023  commencing relation filtering
Fri Feb 24 12:53:19 2023  estimated available RAM is 65413.5 MB
Fri Feb 24 12:53:19 2023  commencing duplicate removal, pass 1
Fri Feb 24 12:53:38 2023  found 1085310 hash collisions in 9540118 relations
Fri Feb 24 12:53:48 2023  added 61748 free relations
Fri Feb 24 12:53:48 2023  commencing duplicate removal, pass 2
Fri Feb 24 12:53:51 2023  found 625644 duplicates and 8976222 unique relations
Fri Feb 24 12:53:51 2023  memory use: 41.3 MB
Fri Feb 24 12:53:51 2023  reading ideals above 100000
Fri Feb 24 12:53:51 2023  commencing singleton removal, initial pass
Fri Feb 24 12:54:23 2023  memory use: 188.3 MB
Fri Feb 24 12:54:23 2023  reading all ideals from disk
Fri Feb 24 12:54:23 2023  memory use: 312.3 MB
Fri Feb 24 12:54:24 2023  keeping 10159114 ideals with weight <= 200, target excess is 47938
Fri Feb 24 12:54:24 2023  commencing in-memory singleton removal
Fri Feb 24 12:54:24 2023  begin with 8976222 relations and 10159114 unique ideals
Fri Feb 24 12:54:28 2023  reduce to 2733319 relations and 2686228 ideals in 22 passes
Fri Feb 24 12:54:28 2023  max relations containing the same ideal: 91
Fri Feb 24 12:54:28 2023  filtering wants 1000000 more relations
Fri Feb 24 12:54:28 2023  elapsed time 00:01:09
-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
  LatSieveTime: 102
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 151
Fri Feb 24 12:57:04 2023  
Fri Feb 24 12:57:04 2023  
Fri Feb 24 12:57:04 2023  Msieve v. 1.52 (SVN 927)
Fri Feb 24 12:57:04 2023  random seeds: ab7ea1d4 f436e441
Fri Feb 24 12:57:04 2023  factoring 960290848900740529886710471467191165061253058096300116594414123269561637784775945104629440404548126296816936294539971 (117 digits)
Fri Feb 24 12:57:04 2023  searching for 15-digit factors
Fri Feb 24 12:57:05 2023  commencing number field sieve (117-digit input)
Fri Feb 24 12:57:05 2023  R0: -36073666660963587494127
Fri Feb 24 12:57:05 2023  R1: 762406684303
Fri Feb 24 12:57:05 2023  A0: -10682745934411389143475488240
Fri Feb 24 12:57:05 2023  A1: 683029543605249786807772
Fri Feb 24 12:57:05 2023  A2: 10747618234868578694
Fri Feb 24 12:57:05 2023  A3: -521120515366727
Fri Feb 24 12:57:05 2023  A4: -2039310502
Fri Feb 24 12:57:05 2023  A5: 15720
Fri Feb 24 12:57:05 2023  skew 76056.18, size 2.400e-011, alpha -5.613, combined = 3.524e-010 rroots = 5
Fri Feb 24 12:57:05 2023  
Fri Feb 24 12:57:05 2023  commencing relation filtering
Fri Feb 24 12:57:05 2023  estimated available RAM is 65413.5 MB
Fri Feb 24 12:57:05 2023  commencing duplicate removal, pass 1
Fri Feb 24 12:57:25 2023  found 969276 hash collisions in 10289066 relations
Fri Feb 24 12:57:35 2023  added 223 free relations
Fri Feb 24 12:57:35 2023  commencing duplicate removal, pass 2
Fri Feb 24 12:57:39 2023  found 705004 duplicates and 9584285 unique relations
Fri Feb 24 12:57:39 2023  memory use: 49.3 MB
Fri Feb 24 12:57:39 2023  reading ideals above 100000
Fri Feb 24 12:57:39 2023  commencing singleton removal, initial pass
Fri Feb 24 12:58:13 2023  memory use: 344.5 MB
Fri Feb 24 12:58:13 2023  reading all ideals from disk
Fri Feb 24 12:58:13 2023  memory use: 333.7 MB
Fri Feb 24 12:58:13 2023  keeping 10439478 ideals with weight <= 200, target excess is 51435
Fri Feb 24 12:58:14 2023  commencing in-memory singleton removal
Fri Feb 24 12:58:14 2023  begin with 9584285 relations and 10439478 unique ideals
Fri Feb 24 12:58:19 2023  reduce to 3512299 relations and 3265767 ideals in 22 passes
Fri Feb 24 12:58:19 2023  max relations containing the same ideal: 108
Fri Feb 24 12:58:20 2023  removing 693499 relations and 600065 ideals in 93434 cliques
Fri Feb 24 12:58:20 2023  commencing in-memory singleton removal
Fri Feb 24 12:58:20 2023  begin with 2818800 relations and 3265767 unique ideals
Fri Feb 24 12:58:21 2023  reduce to 2704079 relations and 2546833 ideals in 11 passes
Fri Feb 24 12:58:21 2023  max relations containing the same ideal: 84
Fri Feb 24 12:58:22 2023  removing 523002 relations and 429568 ideals in 93434 cliques
Fri Feb 24 12:58:22 2023  commencing in-memory singleton removal
Fri Feb 24 12:58:22 2023  begin with 2181077 relations and 2546833 unique ideals
Fri Feb 24 12:58:22 2023  reduce to 2093538 relations and 2026739 ideals in 10 passes
Fri Feb 24 12:58:22 2023  max relations containing the same ideal: 72
Fri Feb 24 12:58:23 2023  relations with 0 large ideals: 155
Fri Feb 24 12:58:23 2023  relations with 1 large ideals: 574
Fri Feb 24 12:58:23 2023  relations with 2 large ideals: 9211
Fri Feb 24 12:58:23 2023  relations with 3 large ideals: 67179
Fri Feb 24 12:58:23 2023  relations with 4 large ideals: 253738
Fri Feb 24 12:58:23 2023  relations with 5 large ideals: 524174
Fri Feb 24 12:58:23 2023  relations with 6 large ideals: 621462
Fri Feb 24 12:58:23 2023  relations with 7+ large ideals: 617045
Fri Feb 24 12:58:23 2023  commencing 2-way merge
Fri Feb 24 12:58:23 2023  reduce to 1170787 relation sets and 1103988 unique ideals
Fri Feb 24 12:58:23 2023  commencing full merge
Fri Feb 24 12:58:36 2023  memory use: 127.1 MB
Fri Feb 24 12:58:36 2023  found 579875 cycles, need 566188
Fri Feb 24 12:58:36 2023  weight of 566188 cycles is about 39783792 (70.27/cycle)
Fri Feb 24 12:58:36 2023  distribution of cycle lengths:
Fri Feb 24 12:58:36 2023  1 relations: 66350
Fri Feb 24 12:58:36 2023  2 relations: 62707
Fri Feb 24 12:58:36 2023  3 relations: 62529
Fri Feb 24 12:58:36 2023  4 relations: 57196
Fri Feb 24 12:58:36 2023  5 relations: 52824
Fri Feb 24 12:58:36 2023  6 relations: 45287
Fri Feb 24 12:58:36 2023  7 relations: 40984
Fri Feb 24 12:58:36 2023  8 relations: 35341
Fri Feb 24 12:58:36 2023  9 relations: 30638
Fri Feb 24 12:58:36 2023  10+ relations: 112332
Fri Feb 24 12:58:36 2023  heaviest cycle: 20 relations
Fri Feb 24 12:58:36 2023  commencing cycle optimization
Fri Feb 24 12:58:36 2023  start with 3398159 relations
Fri Feb 24 12:58:40 2023  pruned 66560 relations
Fri Feb 24 12:58:40 2023  memory use: 116.4 MB
Fri Feb 24 12:58:40 2023  distribution of cycle lengths:
Fri Feb 24 12:58:40 2023  1 relations: 66350
Fri Feb 24 12:58:40 2023  2 relations: 63954
Fri Feb 24 12:58:40 2023  3 relations: 64431
Fri Feb 24 12:58:40 2023  4 relations: 58208
Fri Feb 24 12:58:40 2023  5 relations: 53837
Fri Feb 24 12:58:40 2023  6 relations: 45866
Fri Feb 24 12:58:40 2023  7 relations: 41277
Fri Feb 24 12:58:40 2023  8 relations: 35434
Fri Feb 24 12:58:40 2023  9 relations: 30600
Fri Feb 24 12:58:40 2023  10+ relations: 106231
Fri Feb 24 12:58:40 2023  heaviest cycle: 20 relations
Fri Feb 24 12:58:41 2023  RelProcTime: 96
Fri Feb 24 12:58:41 2023  elapsed time 00:01:37
Fri Feb 24 12:58:41 2023  
Fri Feb 24 12:58:41 2023  
Fri Feb 24 12:58:41 2023  Msieve v. 1.52 (SVN 927)
Fri Feb 24 12:58:41 2023  random seeds: 3f4218d8 8635abb6
Fri Feb 24 12:58:41 2023  factoring 960290848900740529886710471467191165061253058096300116594414123269561637784775945104629440404548126296816936294539971 (117 digits)
Fri Feb 24 12:58:41 2023  searching for 15-digit factors
Fri Feb 24 12:58:41 2023  commencing number field sieve (117-digit input)
Fri Feb 24 12:58:41 2023  R0: -36073666660963587494127
Fri Feb 24 12:58:41 2023  R1: 762406684303
Fri Feb 24 12:58:41 2023  A0: -10682745934411389143475488240
Fri Feb 24 12:58:41 2023  A1: 683029543605249786807772
Fri Feb 24 12:58:41 2023  A2: 10747618234868578694
Fri Feb 24 12:58:41 2023  A3: -521120515366727
Fri Feb 24 12:58:41 2023  A4: -2039310502
Fri Feb 24 12:58:41 2023  A5: 15720
Fri Feb 24 12:58:41 2023  skew 76056.18, size 2.400e-011, alpha -5.613, combined = 3.524e-010 rroots = 5
Fri Feb 24 12:58:41 2023  
Fri Feb 24 12:58:41 2023  commencing linear algebra
Fri Feb 24 12:58:41 2023  read 566188 cycles
Fri Feb 24 12:58:42 2023  cycles contain 1977802 unique relations
Fri Feb 24 12:58:47 2023  read 1977802 relations
Fri Feb 24 12:58:48 2023  using 20 quadratic characters above 134214890
Fri Feb 24 12:58:53 2023  building initial matrix
Fri Feb 24 12:59:03 2023  memory use: 249.9 MB
Fri Feb 24 12:59:04 2023  read 566188 cycles
Fri Feb 24 12:59:04 2023  matrix is 566001 x 566188 (172.6 MB) with weight 54644397 (96.51/col)
Fri Feb 24 12:59:04 2023  sparse part has weight 38456860 (67.92/col)
Fri Feb 24 12:59:06 2023  filtering completed in 2 passes
Fri Feb 24 12:59:06 2023  matrix is 564042 x 564229 (172.4 MB) with weight 54552138 (96.68/col)
Fri Feb 24 12:59:06 2023  sparse part has weight 38423364 (68.10/col)
Fri Feb 24 12:59:07 2023  matrix starts at (0, 0)
Fri Feb 24 12:59:07 2023  matrix is 564042 x 564229 (172.4 MB) with weight 54552138 (96.68/col)
Fri Feb 24 12:59:07 2023  sparse part has weight 38423364 (68.10/col)
Fri Feb 24 12:59:07 2023  saving the first 48 matrix rows for later
Fri Feb 24 12:59:07 2023  matrix includes 64 packed rows
Fri Feb 24 12:59:08 2023  matrix is 563994 x 564229 (165.5 MB) with weight 43317096 (76.77/col)
Fri Feb 24 12:59:08 2023  sparse part has weight 37742086 (66.89/col)
Fri Feb 24 12:59:08 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Fri Feb 24 12:59:09 2023  commencing Lanczos iteration (32 threads)
Fri Feb 24 12:59:09 2023  memory use: 128.3 MB
Fri Feb 24 12:59:11 2023  linear algebra at 0.5%, ETA 0h 6m
Fri Feb 24 13:03:06 2023  lanczos halted after 8921 iterations (dim = 563994)
Fri Feb 24 13:03:06 2023  recovered 32 nontrivial dependencies
Fri Feb 24 13:03:06 2023  BLanczosTime: 265
Fri Feb 24 13:03:06 2023  elapsed time 00:04:25
Fri Feb 24 13:03:06 2023  
Fri Feb 24 13:03:06 2023  
Fri Feb 24 13:03:06 2023  Msieve v. 1.52 (SVN 927)
Fri Feb 24 13:03:06 2023  random seeds: 7249f72c 7996116d
Fri Feb 24 13:03:06 2023  factoring 960290848900740529886710471467191165061253058096300116594414123269561637784775945104629440404548126296816936294539971 (117 digits)
Fri Feb 24 13:03:07 2023  searching for 15-digit factors
Fri Feb 24 13:03:07 2023  commencing number field sieve (117-digit input)
Fri Feb 24 13:03:07 2023  R0: -36073666660963587494127
Fri Feb 24 13:03:07 2023  R1: 762406684303
Fri Feb 24 13:03:07 2023  A0: -10682745934411389143475488240
Fri Feb 24 13:03:07 2023  A1: 683029543605249786807772
Fri Feb 24 13:03:07 2023  A2: 10747618234868578694
Fri Feb 24 13:03:07 2023  A3: -521120515366727
Fri Feb 24 13:03:07 2023  A4: -2039310502
Fri Feb 24 13:03:07 2023  A5: 15720
Fri Feb 24 13:03:07 2023  skew 76056.18, size 2.400e-011, alpha -5.613, combined = 3.524e-010 rroots = 5
Fri Feb 24 13:03:07 2023  
Fri Feb 24 13:03:07 2023  commencing square root phase
Fri Feb 24 13:03:07 2023  reading relations for dependency 1
Fri Feb 24 13:03:07 2023  read 281740 cycles
Fri Feb 24 13:03:07 2023  cycles contain 988084 unique relations
Fri Feb 24 13:03:10 2023  read 988084 relations
Fri Feb 24 13:03:12 2023  multiplying 988084 relations
Fri Feb 24 13:03:35 2023  multiply complete, coefficients have about 43.61 million bits
Fri Feb 24 13:03:35 2023  initial square root is modulo 1822547
Fri Feb 24 13:04:03 2023  GCD is 1, no factor found
Fri Feb 24 13:04:03 2023  reading relations for dependency 2
Fri Feb 24 13:04:03 2023  read 281675 cycles
Fri Feb 24 13:04:04 2023  cycles contain 987412 unique relations
Fri Feb 24 13:04:06 2023  read 987412 relations
Fri Feb 24 13:04:08 2023  multiplying 987412 relations
Fri Feb 24 13:04:31 2023  multiply complete, coefficients have about 43.58 million bits
Fri Feb 24 13:04:31 2023  initial square root is modulo 1805359
Fri Feb 24 13:04:59 2023  sqrtTime: 112
Fri Feb 24 13:04:59 2023  prp57 factor: 850127666186484885213911504294172960757512661863199154929
Fri Feb 24 13:04:59 2023  prp61 factor: 1129584281392025812311206238383593174209736525866811462138099
Fri Feb 24 13:04:59 2023  elapsed time 00:01:53
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10183+529

c131

name 名前Eric Jeancolas
date 日付June 1, 2023 04:22:02 UTC 2023 年 6 月 1 日 (木) 13 時 22 分 2 秒 (日本時間)
composite number 合成数
22036822599207248089708138429878461463988281776845513462378765045518655621572539768719500914566700904111232029070949556244795091737<131>
prime factors 素因数
8216965696292136022190248004817887552573142850382167110451<58>
2681868637853904173559387838767272033996780650019802701853223737033107587<73>
factorization results 素因数分解の結果
22036822599207248089708138429878461463988281776845513462378765045518655621572539768719500914566700904111232029070949556244795091737=8216965696292136022190248004817887552573142850382167110451*2681868637853904173559387838767272033996780650019802701853223737033107587

cado polynomial
n: 22036822599207248089708138429878461463988281776845513462378765045518655621572539768719500914566700904111232029070949556244795091737
skew: 26820.954
c0: -6789135650325458447242723464
c1: -7271256953705664567636762
c2: 106618049767115167177
c3: 14214873634733573
c4: -144909450644
c5: -4085760
Y0: -9451660482330635632947931
Y1: 285469417912948669
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.301e-07
# f(x) = -4085760*x^5-144909450644*x^4+14214873634733573*x^3+106618049767115167177*x^2-7271256953705664567636762*x-6789135650325458447242723464
# g(x) = 285469417912948669*x-9451660482330635632947931

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

cado log (extracts)
Info:Square Root: Factors: 8216965696292136022190248004817887552573142850382167110451 2681868637853904173559387838767272033996780650019802701853223737033107587
Info:Square Root: Total cpu/real time for sqrt: 769.72/234.513
Info:Generate Factor Base: Total cpu/real time for makefb: 39.08/10.7567
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 360.27/352.479
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 313.0s
Info:Quadratic Characters: Total cpu/real time for characters: 68.03/29.9688
Info:Filtering - Merging: Merged matrix has 1765622 rows and total weight 301773707 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 447.03/124.636
Info:Filtering - Merging: Total cpu/real time for replay: 68.85/60.7827
Info:Generate Free Relations: Total cpu/real time for freerel: 256.45/65.5894
Info:Filtering - Singleton removal: Total cpu/real time for purge: 223.48/229.292
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.55/107.463
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 107.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6562.44
Info:Polynomial Selection (root optimized): Rootsieve time: 6559.56
Info:Square Root: Total cpu/real time for sqrt: 769.72/234.513
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38656/39.750/46.553/50.050/0.835
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30566/37.860/41.809/47.360/1.009
Info:Polynomial Selection (size optimized): Total time: 5782.7
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23800862
Info:Lattice Sieving: Average J: 7627.2 for 80583 special-q, max bucket fill -bkmult 1.0,1s:1.070050
Info:Lattice Sieving: Total time: 107971s
Info:Linear Algebra: Total cpu/real time for bwc: 51401.9/13264.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32910.83, WCT time 8436.56, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Linear Algebra: Lingen CPU time 351.07, WCT time 89.22
Info:Linear Algebra: Mksol: CPU time 17814.14,  WCT time 4609.36, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 272515/49868
8216965696292136022190248004817887552573142850382167110451 2681868637853904173559387838767272033996780650019802701853223737033107587
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2023 12:33:17 UTC 2023 年 3 月 28 日 (火) 21 時 33 分 17 秒 (日本時間)

83×10187+529

c140

name 名前Eric Jeancolas
date 日付June 17, 2023 16:38:04 UTC 2023 年 6 月 18 日 (日) 1 時 38 分 4 秒 (日本時間)
composite number 合成数
53418651373548107876402055593967973281885060487857120500214990767137984007866822054483106844304952974961682578272989617614477320728127162907<140>
prime factors 素因数
30578943868299271812409524695963689801880482260096840238032008739341<68>
1746909625251198262434950551041077369391734838569876700012292129949782727<73>
factorization results 素因数分解の結果
53418651373548107876402055593967973281885060487857120500214990767137984007866822054483106844304952974961682578272989617614477320728127162907=30578943868299271812409524695963689801880482260096840238032008739341*1746909625251198262434950551041077369391734838569876700012292129949782727

cado polynomial
n: 53418651373548107876402055593967973281885060487857120500214990767137984007866822054483106844304952974961682578272989617614477320728127162907
skew: 0.36
type: snfs
c0: 13
c5: 2075
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 2075*x^5+13
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9600000
tasks.lim1 = 9600000
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: 1746909625251198262434950551041077369391734838569876700012292129949782727 30578943868299271812409524695963689801880482260096840238032008739341
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1594.27/483.918
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 128.01/35.0975
Info:Square Root: Total cpu/real time for sqrt: 1594.27/483.918
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 98.4/104.375
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.60000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 66.06/27.893
Info:Filtering - Singleton removal: Total cpu/real time for purge: 289.37/276.472
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 426.82/432.342
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 307.49999999999994s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.08/2.16489
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24499174
Info:Lattice Sieving: Average J: 1895.33 for 1773381 special-q, max bucket fill -bkmult 1.0,1s:1.153900
Info:Lattice Sieving: Total time: 316247s
Info:Filtering - Merging: Merged matrix has 1863521 rows and total weight 318409169 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 536.5/146.853
Info:Filtering - Merging: Total cpu/real time for replay: 69.22/82.403
Info:Linear Algebra: Total cpu/real time for bwc: 64949.2/17205.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 41606.53, WCT time 10779.22, iteration CPU time 0.17, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (58368 iterations)
Info:Linear Algebra: Lingen CPU time 278.22, WCT time 283.84
Info:Linear Algebra: Mksol: CPU time 22625.05,  WCT time 5899.3, iteration CPU time 0.19, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 661734/176646
Info:root: Cleaning up computation data in /tmp/cado.syozgc5q
1746909625251198262434950551041077369391734838569876700012292129949782727 30578943868299271812409524695963689801880482260096840238032008739341
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2023 09:55:17 UTC 2023 年 3 月 28 日 (火) 18 時 55 分 17 秒 (日本時間)

83×10188+529

c163

name 名前Bob Backstrom
date 日付March 29, 2023 19:52:38 UTC 2023 年 3 月 30 日 (木) 4 時 52 分 38 秒 (日本時間)
composite number 合成数
1922982170600746047890029365326283240200446907464592462207231412344066487751299746409204676308496211004443622204427574728835138797776124931599644487420107084421001<163>
prime factors 素因数
52818823475253597874670959945152887683407756134835277200544990493721135695957<77>
36407137533112446427675350890744071250850151076979395149447536128411904810174812821093<86>
factorization results 素因数分解の結果
Number: n
N=1922982170600746047890029365326283240200446907464592462207231412344066487751299746409204676308496211004443622204427574728835138797776124931599644487420107084421001  ( 163 digits)
SNFS difficulty: 189 digits.
Divisors found:

Thu Mar 30 05:50:29 2023  prp77 factor: 52818823475253597874670959945152887683407756134835277200544990493721135695957
Thu Mar 30 05:50:29 2023  prp86 factor: 36407137533112446427675350890744071250850151076979395149447536128411904810174812821093
Thu Mar 30 05:50:29 2023  elapsed time 01:50:53 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 83x10^188+52 = 92(187)8
#
n: 1922982170600746047890029365326283240200446907464592462207231412344066487751299746409204676308496211004443622204427574728835138797776124931599644487420107084421001
m: 10000000000000000000000000000000000000
deg: 5
c5: 20750
c0: 13
skew: 0.23
# Murphy_E = 2.702e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 23414857)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1557240 hash collisions in 13015581 relations (12193829 unique)
Msieve: matrix is 1899631 x 1899859 (539.9 MB)

Sieving start time: 2023/03/29 20:22:48
Sieving end time  : 2023/03/30 03:59:09

Total sieving time: 7hrs 36min 21secs.

Total relation processing time: 1hrs 44min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 15sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2023 09:22:33 UTC 2023 年 3 月 28 日 (火) 18 時 22 分 33 秒 (日本時間)

83×10189+529

c189

name 名前ebina
date 日付February 27, 2023 12:05:52 UTC 2023 年 2 月 27 日 (月) 21 時 5 分 52 秒 (日本時間)
composite number 合成数
768518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519<189>
prime factors 素因数
2226526313735647942799671440427321713775213<43>
345164803926841685873615578422670626219208791160132293398428995488809658633100424091781586516381122574343368800845492432088716339368927121666587763<147>
factorization results 素因数分解の結果
Mon Feb 27 20:43:22 2023  Msieve v. 1.53 (SVN unknown)
Mon Feb 27 20:43:22 2023  random seeds: a6bdceb4 b69562a8
Mon Feb 27 20:43:22 2023  factoring 768518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519 (189 digits)
Mon Feb 27 20:43:23 2023  searching for 15-digit factors
Mon Feb 27 20:43:23 2023  commencing number field sieve (189-digit input)
Mon Feb 27 20:43:23 2023  R0: -50000000000000000000000000000000000000
Mon Feb 27 20:43:23 2023  R1: 1
Mon Feb 27 20:43:23 2023  A0: 65
Mon Feb 27 20:43:23 2023  A1: 0
Mon Feb 27 20:43:23 2023  A2: 0
Mon Feb 27 20:43:23 2023  A3: 0
Mon Feb 27 20:43:23 2023  A4: 0
Mon Feb 27 20:43:23 2023  A5: 332
Mon Feb 27 20:43:23 2023  skew 0.72, size 1.373e-13, alpha 1.259, combined = 2.532e-11 rroots = 1
Mon Feb 27 20:43:23 2023  
Mon Feb 27 20:43:23 2023  commencing square root phase
Mon Feb 27 20:43:23 2023  reading relations for dependency 1
Mon Feb 27 20:43:24 2023  read 1257635 cycles
Mon Feb 27 20:43:25 2023  cycles contain 3983502 unique relations
Mon Feb 27 20:43:51 2023  read 3983502 relations
Mon Feb 27 20:44:03 2023  multiplying 3983502 relations
Mon Feb 27 20:45:10 2023  multiply complete, coefficients have about 123.26 million bits
Mon Feb 27 20:45:10 2023  initial square root is modulo 702947951
Mon Feb 27 20:46:31 2023  Newton iteration failed to converge
Mon Feb 27 20:46:31 2023  algebraic square root failed
Mon Feb 27 20:46:31 2023  reading relations for dependency 2
Mon Feb 27 20:46:32 2023  read 1257138 cycles
Mon Feb 27 20:46:33 2023  cycles contain 3983854 unique relations
Mon Feb 27 20:47:00 2023  read 3983854 relations
Mon Feb 27 20:47:11 2023  multiplying 3983854 relations
Mon Feb 27 20:48:27 2023  multiply complete, coefficients have about 123.27 million bits
Mon Feb 27 20:48:28 2023  initial square root is modulo 704404691
Mon Feb 27 20:50:11 2023  Newton iteration failed to converge
Mon Feb 27 20:50:11 2023  algebraic square root failed
Mon Feb 27 20:50:11 2023  reading relations for dependency 3
Mon Feb 27 20:50:12 2023  read 1257500 cycles
Mon Feb 27 20:50:14 2023  cycles contain 3986304 unique relations
Mon Feb 27 20:50:45 2023  read 3986304 relations
Mon Feb 27 20:51:03 2023  multiplying 3986304 relations
Mon Feb 27 20:52:28 2023  multiply complete, coefficients have about 123.35 million bits
Mon Feb 27 20:52:28 2023  initial square root is modulo 714314561
Mon Feb 27 20:54:12 2023  sqrtTime: 649
Mon Feb 27 20:54:12 2023  p43 factor: 2226526313735647942799671440427321713775213
Mon Feb 27 20:54:12 2023  p147 factor: 345164803926841685873615578422670626219208791160132293398428995488809658633100424091781586516381122574343368800845492432088716339368927121666587763
Mon Feb 27 20:54:12 2023  elapsed time 00:10:50

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10190+529

c179

name 名前Bob Backstrom
date 日付April 7, 2023 04:23:00 UTC 2023 年 4 月 7 日 (金) 13 時 23 分 0 秒 (日本時間)
composite number 合成数
70772588106553283915781169592693362050533239387290540524781208969142863120225445752965909685700327655629220894890669124157977475330740434768357705910359364047621632635212955783163<179>
prime factors 素因数
14592456433861917732518961555760151202390835109472614518127764481834759856778158958841<86>
4849943422981541251643472951602483969720562292328909643813021710075410144168315346339966833043<94>
factorization results 素因数分解の結果
Number: n
N=70772588106553283915781169592693362050533239387290540524781208969142863120225445752965909685700327655629220894890669124157977475330740434768357705910359364047621632635212955783163  ( 179 digits)
SNFS difficulty: 191 digits.
Divisors found:

Thu Apr  6 19:04:13 2023  prp86 factor: 14592456433861917732518961555760151202390835109472614518127764481834759856778158958841
Thu Apr  6 19:04:13 2023  prp94 factor: 4849943422981541251643472951602483969720562292328909643813021710075410144168315346339966833043
Thu Apr  6 19:04:13 2023  elapsed time 01:38:04 (Msieve 1.44 - dependency 12)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 83x10^190+52 = 92(189)8
#
n: 70772588106553283915781169592693362050533239387290540524781208969142863120225445752965909685700327655629220894890669124157977475330740434768357705910359364047621632635212955783163
m: 100000000000000000000000000000000000000
deg: 5
c5: 83
c0: 52
skew: 0.91
# Murphy_E = 2.798e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 23950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1961836 hash collisions in 16588445 relations (15247858 unique)
Msieve: matrix is 1557621 x 1557846 (439.4 MB)

Sieving start time: 2023/04/06 07:13:45
Sieving end time  : 2023/04/06 17:25:52

Total sieving time: 10hrs 12min 7secs.

Total relation processing time: 1hrs 13min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 37sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11100000,11100000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 4, 2023 19:06:46 UTC 2023 年 3 月 5 日 (日) 4 時 6 分 46 秒 (日本時間)
2350Ignacio SantosApril 4, 2023 14:39:26 UTC 2023 年 4 月 4 日 (火) 23 時 39 分 26 秒 (日本時間)

83×10192+529

c161

name 名前Bob Backstrom
date 日付April 11, 2023 19:25:18 UTC 2023 年 4 月 12 日 (水) 4 時 25 分 18 秒 (日本時間)
composite number 合成数
12887021999991015930232450110580551199082707280270841784148987762916809534018596165117294135645437438526918350417415215817167298276188311626593759615792309387407<161>
prime factors 素因数
3005640451670792794159105234133752419541313603180097961132833125284206192211<76>
4287612642698930812787536907043928404094170637008711916108166895832613711403429559637<85>
factorization results 素因数分解の結果
Number: n
N=12887021999991015930232450110580551199082707280270841784148987762916809534018596165117294135645437438526918350417415215817167298276188311626593759615792309387407  ( 161 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Apr 12 05:17:43 2023  prp76 factor: 3005640451670792794159105234133752419541313603180097961132833125284206192211
Wed Apr 12 05:17:43 2023  prp85 factor: 4287612642698930812787536907043928404094170637008711916108166895832613711403429559637
Wed Apr 12 05:17:43 2023  elapsed time 02:21:02 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 83x10^192+52 = 92(191)8
#
n: 12887021999991015930232450110580551199082707280270841784148987762916809534018596165117294135645437438526918350417415215817167298276188311626593759615792309387407
m: 100000000000000000000000000000000000000
deg: 5
c5: 2075
c0: 13
skew: 0.36
# Murphy_E = 2.496e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 24250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1529099 hash collisions in 13021818 relations (12238350 unique)
Msieve: matrix is 2048578 x 2048804 (585.9 MB)

Sieving start time: 2023/04/11 18:47:34
Sieving end time  : 2023/04/12 02:56:29

Total sieving time: 8hrs 8min 55secs.

Total relation processing time: 2hrs 14min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 17sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 4, 2023 19:06:55 UTC 2023 年 3 月 5 日 (日) 4 時 6 分 55 秒 (日本時間)

83×10193+529

c174

name 名前Ignacio Santos
date 日付April 13, 2023 17:03:53 UTC 2023 年 4 月 14 日 (金) 2 時 3 分 53 秒 (日本時間)
composite number 合成数
441404053327044624554997436869391902944400147895570861955560052328358696428306231214938426165509460305285492542408366956928985101565682014057617941193107816159862636104043687<174>
prime factors 素因数
46758894764584490962734558958192374581<38>
9440001855248449875067437291678829727910133885485115135728670458485441539051004432293316185825205216699348577834928390127194757622530027<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2793308292
Step 1 took 7562ms
Step 2 took 3547ms
********** Factor found in step 2: 46758894764584490962734558958192374581
Found prime factor of 38 digits: 46758894764584490962734558958192374581
Prime cofactor 9440001855248449875067437291678829727910133885485115135728670458485441539051004432293316185825205216699348577834928390127194757622530027 has 136 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 4, 2023 19:07:03 UTC 2023 年 3 月 5 日 (日) 4 時 7 分 3 秒 (日本時間)

83×10194+529

c193

name 名前Bob Backstrom
date 日付April 19, 2023 14:48:01 UTC 2023 年 4 月 19 日 (水) 23 時 48 分 1 秒 (日本時間)
composite number 合成数
2040314650934119960668633235004916420845624385447394296951819075712881022615535889872173058013765978367748279252704031465093411996066863323500491642084562438544739429695181907571288102261553589<193>
prime factors 素因数
19852180575638764965193358756004945664602407412620120395190673089<65>
102775342142406977014025226546789977111043908056799445459607988442371488842997758158879912920313692865273771048524876912181824501<129>
factorization results 素因数分解の結果
Number: n
N=2040314650934119960668633235004916420845624385447394296951819075712881022615535889872173058013765978367748279252704031465093411996066863323500491642084562438544739429695181907571288102261553589  ( 193 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Apr 20 00:38:56 2023  prp65 factor: 19852180575638764965193358756004945664602407412620120395190673089
Thu Apr 20 00:38:56 2023  prp129 factor: 102775342142406977014025226546789977111043908056799445459607988442371488842997758158879912920313692865273771048524876912181824501
Thu Apr 20 00:38:56 2023  elapsed time 02:05:52 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 83x10^194+52 = 92(193)8
#
n: 2040314650934119960668633235004916420845624385447394296951819075712881022615535889872173058013765978367748279252704031465093411996066863323500491642084562438544739429695181907571288102261553589
m: 100000000000000000000000000000000
deg: 6
c6: 2075
c0: 13
skew: 0.43
# Murphy_E = 1.648e-11
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 39100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2055410 hash collisions in 14808478 relations (13780539 unique)
Msieve: matrix is 1897977 x 1898202 (544.8 MB)

Sieving start time: 2023/04/19 08:08:32
Sieving end time  : 2023/04/19 22:32:48

Total sieving time: 14hrs 24min 16secs.

Total relation processing time: 1hrs 45min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 34sec.

Prototype def-par.txt line would be:
snfs,195,6,0,0,0,0,0,0,0,0,12600000,12600000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 4, 2023 19:07:14 UTC 2023 年 3 月 5 日 (日) 4 時 7 分 14 秒 (日本時間)
2350Ignacio SantosApril 18, 2023 15:26:17 UTC 2023 年 4 月 19 日 (水) 0 時 26 分 17 秒 (日本時間)

83×10195+529

c151

name 名前Bob Backstrom
date 日付April 19, 2023 06:10:09 UTC 2023 年 4 月 19 日 (水) 15 時 10 分 9 秒 (日本時間)
composite number 合成数
2005205012426844210274203060572380851555874888232223822575347844123241678246281985330142983214359318518186042371819005188534543716913024366658934034359<151>
prime factors 素因数
289469719115694807921240473335349745133957<42>
6927166746672410954596374242441161604945327867809394748388404645958585482719229438610541914145795768106949387<109>
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 2005205012426844210274203060572380851555874888232223822575347844123241678246281985330142983214359318518186042371819005188534543716913024366658934034359 (151 digits)
Using B1=32590000, B2=144292047916, polynomial Dickson(12), sigma=1:2464459003
Step 1 took 63873ms
Step 2 took 22535ms
********** Factor found in step 2: 289469719115694807921240473335349745133957
Found prime factor of 42 digits: 289469719115694807921240473335349745133957
Prime cofactor 6927166746672410954596374242441161604945327867809394748388404645958585482719229438610541914145795768106949387 has 109 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 4, 2023 19:07:35 UTC 2023 年 3 月 5 日 (日) 4 時 7 分 35 秒 (日本時間)
2350Ignacio SantosApril 18, 2023 16:19:42 UTC 2023 年 4 月 19 日 (水) 1 時 19 分 42 秒 (日本時間)

83×10198+529

c183

name 名前Bob Backstrom
date 日付May 5, 2023 01:20:01 UTC 2023 年 5 月 5 日 (金) 10 時 20 分 1 秒 (日本時間)
composite number 合成数
429961288908565077820350913138211543026924284486562211339300727041952976630002435478771414831137309918507597723236508562896451930873557886914438689344679527251085219669102264791020083<183>
prime factors 素因数
17249766422618623912683845078207140393238480231<47>
24925629621557172833569332502485799605782627463089175005802171602848627572139239487263364522531413061606752024121693865262553071051620693<137>
factorization results 素因数分解の結果
Number: n
N=429961288908565077820350913138211543026924284486562211339300727041952976630002435478771414831137309918507597723236508562896451930873557886914438689344679527251085219669102264791020083  ( 183 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri May  5 09:58:25 2023  prp47 factor: 17249766422618623912683845078207140393238480231
Fri May  5 09:58:25 2023  prp137 factor: 24925629621557172833569332502485799605782627463089175005802171602848627572139239487263364522531413061606752024121693865262553071051620693
Fri May  5 09:58:25 2023  elapsed time 03:53:19 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.104).
Factorization parameters were as follows:
#
# N = 83x10^198+52 = 92(197)8
#
n: 429961288908565077820350913138211543026924284486562211339300727041952976630002435478771414831137309918507597723236508562896451930873557886914438689344679527251085219669102264791020083
m: 1000000000000000000000000000000000000000
deg: 5
c5: 20750
c0: 13
skew: 0.23
# Murphy_E = 1.043e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 47350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2145386 hash collisions in 14304456 relations (12845360 unique)
Msieve: matrix is 2666044 x 2666270 (756.9 MB)

Sieving start time: 2023/05/04 11:11:28
Sieving end time  : 2023/05/05 06:04:49

Total sieving time: 18hrs 53min 21secs.

Total relation processing time: 3hrs 39min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 13sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 4, 2023 19:07:43 UTC 2023 年 3 月 5 日 (日) 4 時 7 分 43 秒 (日本時間)
2350Ignacio SantosMay 2, 2023 11:15:58 UTC 2023 年 5 月 2 日 (火) 20 時 15 分 58 秒 (日本時間)

83×10199+529

c157

name 名前Bob Backstrom
date 日付May 18, 2023 00:33:44 UTC 2023 年 5 月 18 日 (木) 9 時 33 分 44 秒 (日本時間)
composite number 合成数
1023041895642743254950853579723797745206200616855303006097692568735440525741952923863785097474827111791477785138053286193649361181739014587899594809206514257<157>
prime factors 素因数
8771842957030718829130539987780719005891<40>
116627931057836034793576334287964084999302271012931825052158834263423310703411809110995340922389040568183386028347227<117>
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 1023041895642743254950853579723797745206200616855303006097692568735440525741952923863785097474827111791477785138053286193649361181739014587899594809206514257 (157 digits)
Using B1=12190000, B2=35134690510, polynomial Dickson(12), sigma=1:3783737776
Step 1 took 28795ms
Step 2 took 11155ms
********** Factor found in step 2: 8771842957030718829130539987780719005891
Found prime factor of 40 digits: 8771842957030718829130539987780719005891
Prime cofactor 116627931057836034793576334287964084999302271012931825052158834263423310703411809110995340922389040568183386028347227 has 117 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 4, 2023 19:07:52 UTC 2023 年 3 月 5 日 (日) 4 時 7 分 52 秒 (日本時間)

83×10201+529

c136

name 名前Ignacio Santos
date 日付February 22, 2023 15:01:17 UTC 2023 年 2 月 23 日 (木) 0 時 1 分 17 秒 (日本時間)
composite number 合成数
8204348852728076865977146414812834228776834649110111583402059018278343315920405657220423109026659999285126876225165663212827097421792513<136>
prime factors 素因数
3320063044646694408625596748740802376569<40>
2471142488079212159689090091832209354355704461439405863094804570873165919997252480576767191954377<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:187226017
Step 1 took 5703ms
Step 2 took 2672ms
********** Factor found in step 2: 3320063044646694408625596748740802376569
Found prime factor of 40 digits: 3320063044646694408625596748740802376569
Prime cofactor 2471142488079212159689090091832209354355704461439405863094804570873165919997252480576767191954377 has 97 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10204+529

c126

name 名前Ignacio Santos
date 日付February 27, 2023 16:45:37 UTC 2023 年 2 月 28 日 (火) 1 時 45 分 37 秒 (日本時間)
composite number 合成数
112251667529508534847804085686631065205751178210579164891466514178781608180782464301495879726391528033765347373042534246012691<126>
prime factors 素因数
4177950474715596438508414701538388633041<40>
26867639578027737926373444704509140053635383583297573780530137633580365840604663583651<86>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3216436756
Step 1 took 4406ms
Step 2 took 2391ms
********** Factor found in step 2: 4177950474715596438508414701538388633041
Found prime factor of 40 digits: 4177950474715596438508414701538388633041
Prime cofactor 26867639578027737926373444704509140053635383583297573780530137633580365840604663583651 has 86 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10206+529

c149

name 名前Bob Backstrom
date 日付June 19, 2024 20:17:07 UTC 2024 年 6 月 20 日 (木) 5 時 17 分 7 秒 (日本時間)
composite number 合成数
28347088314570451016818074768147873384013281141230994335365169716539977780749048390357799737870800469005255711343801546562661054820281982191522448097<149>
prime factors 素因数
41946939469930591621881072911715665129693540726221<50>
675784423673886597324696621344221335320351522065497672345451914870395001355776559968025918549683557<99>
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 28347088314570451016818074768147873384013281141230994335365169716539977780749048390357799737870800469005255711343801546562661054820281982191522448097 (149 digits)
Using B1=71570000, B2=582191637310, polynomial Dickson(30), sigma=1:922820304
Step 1 took 130847ms
Step 2 took 64196ms
********** Factor found in step 2: 41946939469930591621881072911715665129693540726221
Found prime factor of 50 digits: 41946939469930591621881072911715665129693540726221
Prime cofactor 675784423673886597324696621344221335320351522065497672345451914870395001355776559968025918549683557 has 99 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2023 21:42:48 UTC 2023 年 3 月 15 日 (水) 6 時 42 分 48 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovApril 6, 2023 09:21:11 UTC 2023 年 4 月 6 日 (木) 18 時 21 分 11 秒 (日本時間)

83×10207+529

c190

name 名前Dmitry Domanov
date 日付November 14, 2023 12:05:14 UTC 2023 年 11 月 14 日 (火) 21 時 5 分 14 秒 (日本時間)
composite number 合成数
1048192186429819660097827626063114854554806645635074151442385748064712894990985385303063227151385461217480043169392614674699364396013087183849136652431410809728891655227685154854579355521141<190>
prime factors 素因数
5229915120355876075024175966628553814081053<43>
composite cofactor 合成数の残り
200422408836052796186558842850939528121528705959429401211218692567427490661886055533146038100822453097340111087632114128127880993735299936540503097<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2022967507
Step 1 took 7463ms
********** Factor found in step 1: 5229915120355876075024175966628553814081053
Found prime factor of 43 digits: 5229915120355876075024175966628553814081053
Composite cofactor 200422408836052796186558842850939528121528705959429401211218692567427490661886055533146038100822453097340111087632114128127880993735299936540503097 has 147 digits

c147

name 名前Bob Backstrom
date 日付September 6, 2024 19:22:10 UTC 2024 年 9 月 7 日 (土) 4 時 22 分 10 秒 (日本時間)
composite number 合成数
200422408836052796186558842850939528121528705959429401211218692567427490661886055533146038100822453097340111087632114128127880993735299936540503097<147>
prime factors 素因数
206375081395597099802281555153830839334647020619<48>
971156049852095657855270983808879476109410056818270630772104828993228431921656169080808717176413963<99>
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 200422408836052796186558842850939528121528705959429401211218692567427490661886055533146038100822453097340111087632114128127880993735299936540503097 (147 digits)
Using B1=63030000, B2=388131795880, polynomial Dickson(30), sigma=1:2698664660
Step 1 took 122845ms
Step 2 took 52716ms
********** Factor found in step 2: 206375081395597099802281555153830839334647020619
Found prime factor of 48 digits: 206375081395597099802281555153830839334647020619
Prime cofactor 971156049852095657855270983808879476109410056818270630772104828993228431921656169080808717176413963 has 99 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622001000Dmitry DomanovMarch 14, 2023 21:46:01 UTC 2023 年 3 月 15 日 (水) 6 時 46 分 1 秒 (日本時間)
1200Dmitry DomanovNovember 14, 2023 10:52:08 UTC 2023 年 11 月 14 日 (火) 19 時 52 分 8 秒 (日本時間)

83×10208+529

c208

composite cofactor 合成数の残り
1002415458937198067632850241545893719806763285024154589371980676328502415458937198067632850241545893719806763285024154589371980676328502415458937198067632850241545893719806763285024154589371980676328502415459<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622001000Dmitry DomanovMarch 24, 2023 23:29:49 UTC 2023 年 3 月 25 日 (土) 8 時 29 分 49 秒 (日本時間)
1200Dmitry DomanovNovember 14, 2023 12:13:06 UTC 2023 年 11 月 14 日 (火) 21 時 13 分 6 秒 (日本時間)

83×10210+529

c194

composite cofactor 合成数の残り
81191369144703762191862471869536119705136798385320071105968103408158533401210371761976520123079712886509108502891627602958076225243570026221450799681299758941953165692743572228368624153115328931<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 14, 2023 21:45:45 UTC 2023 年 3 月 15 日 (水) 6 時 45 分 45 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 07:38:37 UTC 2024 年 9 月 22 日 (日) 16 時 38 分 37 秒 (日本時間)

83×10211+529

c189

composite cofactor 合成数の残り
139269130315534317690384109787065387079827014700811573040817072761502670015433229801451697894330649148741066420008074280734577875436883050918944596397050318400141056142835111329911472198251<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 14, 2023 21:45:54 UTC 2023 年 3 月 15 日 (水) 6 時 45 分 54 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 07:38:50 UTC 2024 年 9 月 22 日 (日) 16 時 38 分 50 秒 (日本時間)

83×10212+529

c182

composite cofactor 合成数の残り
62650355549311307330453986866056247597874700433294854647694559550966247284140089981790374929653353392141433706200814298223253703507583859804697295956578498655769029211715574048358503<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 14, 2023 21:46:09 UTC 2023 年 3 月 15 日 (水) 6 時 46 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 07:49:36 UTC 2024 年 9 月 22 日 (日) 16 時 49 分 36 秒 (日本時間)

83×10214+529

c210

name 名前Jason Parker-Burlingham
date 日付August 29, 2024 13:46:38 UTC 2024 年 8 月 29 日 (木) 22 時 46 分 38 秒 (日本時間)
composite number 合成数
237889694847710469324840384613179891614015658300974602552241150216737574992576695064390721499381486793395952779755415000005732281803559288417466033364173009436482305019300592832584124101608134337170522772635921<210>
prime factors 素因数
75673054347509942070619826984852582554631<41>
165096036639349705412542453082134050872844467987222116487794117868309293<72>
19041349223550342723836099573920571927230985533786694543053114279767686702643952218629944275562787<98>
factorization results 素因数分解の結果
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 83711234
Info:Lattice Sieving: , max bucket fill -bkmult 1.0,1l:1.259750,1s:1.500000,2s:1.100000
Info:Lattice Sieving: Total time: 6.89425e+06s
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Filtering - Merging: Total cpu/real time for merge: 3692.6/128.363
Info:Filtering - Merging: Total cpu/real time for replay: 154.92/149.521
Info:Generate Factor Base: Total cpu/real time for makefb: 10.77/1.07414
Info:Generate Free Relations: Total cpu/real time for freerel: 274.83/16.1381
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.38/250.457
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 250.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2341.78/595.986
Info:Square Root: Total cpu/real time for sqrt: 10250.5/535.375
Info:Quadratic Characters: Total cpu/real time for characters: 165.29/29.8618
Info:Linear Algebra: Total cpu/real time for bwc: 1.18485e+06/51115.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 783458.62, WCT time 33695.64, iteration CPU time 0.17, COMM 0.02, cpu-wait 0.05, comm-wait 0.0 (142848 iterations)
Info:Linear Algebra: Lingen CPU time 586.94, WCT time 95.05
Info:Linear Algebra: Mksol: CPU time 395287.41,  WCT time 16963.91, iteration CPU time 0.17, COMM 0.02, cpu-wait 0.05, comm-wait 0.0 (71680 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 7.8329e+06/271199 [3d 03:19:59]
19041349223550342723836099573920571927230985533786694543053114279767686702643952218629944275562787 75673054347509942070619826984852582554631 165096036639349705412542453082134050872844467987222116487794117868309293

==> 92228_214.poly <==
n: 237889694847710469324840384613179891614015658300974602552241150216737574992576695064390721499381486793395952779755415000005732281803559288417466033364173009436482305019300592832584124101608134337170522772635921
poly0: -5000000000000000000000000000000000000000000,1
poly1: 65,0,0,0,0,332
skew: 0.72

==> 92228_214.params <==
name = 92228_214

N = 237889694847710469324840384613179891614015658300974602552241150216737574992576695064390721499381486793395952779755415000005732281803559288417466033364173009436482305019300592832584124101608134337170522772635921

tasks.polyselect.import = 92228_214.poly
tasks.polyselect.admin = 0
tasks.polyselect.admax = 0
tasks.polyselect.adrange = 0

tasks.lim0 = 35000000
tasks.lim1 = 35000000
tasks.lpb0 = 30
tasks.lpb1 = 30
tasks.sieve.mfb0 = 67
tasks.sieve.mfb1 = 67
tasks.A = 28
tasks.qmin = 35000000
tasks.qmax = 56562278
tasks.sieve.qrange = 10000
tasks.sieve.sqside = 0
tasks.sieve.adjust_strategy = 2
tasks.sieve.lambda0 = 2.0
tasks.sieve.lambda1 = 2.0
tasks.sieve.bkmult = 1,1l:1.25975,1s:1.5,2s:1.1

tasks.filter.purge.keep = 160
tasks.filter.target_density = 170.0

tasks.linalg.bwc.interleaving = 0
tasks.linalg.m = 64
tasks.linalg.n = 64

tasks.linalg.characters.nchar = 50
software ソフトウェア
CADO-NFS-3.0.0-dev (git commit 2551f43ca)
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 78GiB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 24, 2023 23:30:00 UTC 2023 年 3 月 25 日 (土) 8 時 30 分 0 秒 (日本時間)

83×10217+529

c217

composite cofactor 合成数の残り
3293650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793651<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e634061000Dmitry DomanovMarch 24, 2023 23:30:08 UTC 2023 年 3 月 25 日 (土) 8 時 30 分 8 秒 (日本時間)
56Mehrshad AlipourSeptember 18, 2024 11:25:07 UTC 2024 年 9 月 18 日 (水) 20 時 25 分 7 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 07:59:26 UTC 2024 年 9 月 22 日 (日) 16 時 59 分 26 秒 (日本時間)

83×10218+529

c182

composite cofactor 合成数の残り
29663763843040377000981427280591877985361092436936034782031943352488457081275002027034350682198969753516076323461795737308168278941313742081370139079095864778362034086272207239666967<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 14, 2023 21:45:14 UTC 2023 年 3 月 15 日 (水) 6 時 45 分 14 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 08:38:50 UTC 2024 年 9 月 22 日 (日) 17 時 38 分 50 秒 (日本時間)

83×10220+529

c182

composite cofactor 合成数の残り
92417493339803055630957559918567358808207730333729796433322884775461811951360509455243458132372885659236177698575651853465039426047532755730518286747753039231629163146031976446268129<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 14, 2023 21:45:05 UTC 2023 年 3 月 15 日 (水) 6 時 45 分 5 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 08:39:03 UTC 2024 年 9 月 22 日 (日) 17 時 39 分 3 秒 (日本時間)

83×10222+529

c212

name 名前Ignacio Santos
date 日付September 22, 2024 08:40:17 UTC 2024 年 9 月 22 日 (日) 17 時 40 分 17 秒 (日本時間)
composite number 合成数
24612066034917995667753204800815916225164087679669381349589824982257643369206977540798177293210358832063438397669152127778028647262135666140882066457998023043306280254557059943979231945807111600090335529842685653<212>
prime factors 素因数
82399347206245358616130671559228283437<38>
298692488100834783841820875415952215960767089835155899193958511998642194077599920348294813892948726749640457158452026878741015042152876208240753188313903010134337438669930569<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:945842607
Step 1 took 8734ms
Step 2 took 4094ms
********** Factor found in step 2: 82399347206245358616130671559228283437
Found prime factor of 38 digits: 82399347206245358616130671559228283437
Prime cofactor 298692488100834783841820875415952215960767089835155899193958511998642194077599920348294813892948726749640457158452026878741015042152876208240753188313903010134337438669930569 has 174 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 24, 2023 23:30:23 UTC 2023 年 3 月 25 日 (土) 8 時 30 分 23 秒 (日本時間)

83×10225+529

c205

name 名前Dmitry Domanov
date 日付March 25, 2023 09:22:08 UTC 2023 年 3 月 25 日 (土) 18 時 22 分 8 秒 (日本時間)
composite number 合成数
4099803233599007264817235063503756901776519465495993001125582579158502458029026833909594378980010804157857187586645145402806027263918234924943085289178446567803925163481961757345265619063608629679680216961<205>
prime factors 素因数
82811262803320380782879057219477171640773<41>
49507797548458861627631952483429386189191837543786033410258559581252379343793127699961048198539808623253143790197487912169796603547737450436719771894403102294857357<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1379803942
Step 1 took 11082ms
Step 2 took 5547ms
********** Factor found in step 2: 82811262803320380782879057219477171640773
Found prime factor of 41 digits: 82811262803320380782879057219477171640773
Prime cofactor 49507797548458861627631952483429386189191837543786033410258559581252379343793127699961048198539808623253143790197487912169796603547737450436719771894403102294857357 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 24, 2023 23:30:23 UTC 2023 年 3 月 25 日 (土) 8 時 30 分 23 秒 (日本時間)

83×10226+529

c210

composite cofactor 合成数の残り
612479318114470891979950242343979984837757939311396812965466177653664495169677737273865349384447151287689445105441767958372914786061870773320017572120765079798779071868511695873856773446062733636489715367911417<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 24, 2023 23:30:33 UTC 2023 年 3 月 25 日 (土) 8 時 30 分 33 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 08:40:48 UTC 2024 年 9 月 22 日 (日) 17 時 40 分 48 秒 (日本時間)

83×10229+529

c223

composite cofactor 合成数の残り
4325027009533130738646454971289220100499454119060885937698892620084479137205676961669151108085468119767355650764511575533553569961709858470734230550285796742614766259178254456200388943947003807837153207609904824602020915247<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 26, 2023 22:21:13 UTC 2023 年 3 月 27 日 (月) 7 時 21 分 13 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 08:52:49 UTC 2024 年 9 月 22 日 (日) 17 時 52 分 49 秒 (日本時間)

83×10230+529

c220

name 名前Dmitry Domanov
date 日付March 26, 2023 15:00:04 UTC 2023 年 3 月 27 日 (月) 0 時 0 分 4 秒 (日本時間)
composite number 合成数
5589008289531730002271515697323170873584744156556860091133076774908012012369604879268785901372325719495100832710442675795520325590933699278186402306687052291100617076935560868886859657993795944523061844378932691732292949<220>
prime factors 素因数
12224847614495387541456398005317592733<38>
457184291025817493707349340797597544100181229965687181834194751391876120763493897144346564975111007542675519012461919944993551198122555679045772104931759378558009173574283978156105753<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3381264152
Step 1 took 12957ms
Step 2 took 5637ms
********** Factor found in step 2: 12224847614495387541456398005317592733
Found prime factor of 38 digits: 12224847614495387541456398005317592733
Prime cofactor 457184291025817493707349340797597544100181229965687181834194751391876120763493897144346564975111007542675519012461919944993551198122555679045772104931759378558009173574283978156105753 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 24, 2023 23:30:40 UTC 2023 年 3 月 25 日 (土) 8 時 30 分 40 秒 (日本時間)

83×10231+529

c190

composite cofactor 合成数の残り
1304417062546667617822758391872056385956091135858998722370702535848042065472857685697213157353628900978659755698812498344732739856148168746909399549317944332196794924322552168848319322338731<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 14, 2023 21:44:57 UTC 2023 年 3 月 15 日 (水) 6 時 44 分 57 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 09:01:05 UTC 2024 年 9 月 22 日 (日) 18 時 1 分 5 秒 (日本時間)

83×10233+529

c172

composite cofactor 合成数の残り
9868605317241107583092782566149949208428726607462792623750722510311302263240000553044649842372267413988293668240245257757662265478244470572984542635967055775235819071493249<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2023 21:42:56 UTC 2023 年 3 月 15 日 (水) 6 時 42 分 56 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovApril 6, 2023 09:21:22 UTC 2023 年 4 月 6 日 (木) 18 時 21 分 22 秒 (日本時間)

83×10234+529

c193

composite cofactor 合成数の残り
3665228652935935949191644589598585489475347000141091183123524148311767326413333918647215550832925150924183531112019017491233669844120647849221715330047116971797265246169427166425834977558727049<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 14, 2023 21:44:49 UTC 2023 年 3 月 15 日 (水) 6 時 44 分 49 秒 (日本時間)
2350Ignacio SantosSeptember 20, 2024 15:32:16 UTC 2024 年 9 月 21 日 (土) 0 時 32 分 16 秒 (日本時間)

83×10235+529

c209

composite cofactor 合成数の残り
34526925883193428089109962663960469809207714282066188840486514982187068120806299791055082693506778423345227874465101457881631125479033109394526102208892504758041150791389505766006179928008390789263499116593183<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 24, 2023 23:30:48 UTC 2023 年 3 月 25 日 (土) 8 時 30 分 48 秒 (日本時間)
2350Ignacio SantosSeptember 20, 2024 15:32:26 UTC 2024 年 9 月 21 日 (土) 0 時 32 分 26 秒 (日本時間)

83×10237+529

c227

composite cofactor 合成数の残り
12987039375238283074135080149525949935014672181703970561750545558203960555034234299136269544823282779590801492935125983872749472490313075042636698634300058220659246138275878486536685023005870519437555123498837889485692479246337<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 26, 2023 22:21:25 UTC 2023 年 3 月 27 日 (月) 7 時 21 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 20, 2024 15:32:49 UTC 2024 年 9 月 21 日 (土) 0 時 32 分 49 秒 (日本時間)

83×10238+529

c217

composite cofactor 合成数の残り
1003224847357112973823790258337171879174543126441018311813675050977357231534366083989539708275662722499389760787788169991223328669545560069734033985994280751552369788092061240418153307023326487631060875761762644276573<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 24, 2023 23:30:57 UTC 2023 年 3 月 25 日 (土) 8 時 30 分 57 秒 (日本時間)
2350Ignacio SantosSeptember 20, 2024 15:41:58 UTC 2024 年 9 月 21 日 (土) 0 時 41 分 58 秒 (日本時間)

83×10239+529

c240

composite cofactor 合成数の残り
230555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 28, 2023 21:00:18 UTC 2023 年 3 月 29 日 (水) 6 時 0 分 18 秒 (日本時間)
2350Ignacio SantosSeptember 20, 2024 15:59:36 UTC 2024 年 9 月 21 日 (土) 0 時 59 分 36 秒 (日本時間)

83×10240+529

c240

composite cofactor 合成数の残り
256172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506173<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 28, 2023 21:00:30 UTC 2023 年 3 月 29 日 (水) 6 時 0 分 30 秒 (日本時間)
2350Ignacio SantosSeptember 20, 2024 16:13:32 UTC 2024 年 9 月 21 日 (土) 1 時 13 分 32 秒 (日本時間)

83×10241+529

c238

composite cofactor 合成数の残り
5850179029575121937466520059770503820237390397248301333558882404353097070681440130818461191462967661901942541374157715187910569793340663678141475654797146804251599988722546449011813132594660125743607093518283571569539597958780907271138177<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 28, 2023 21:00:38 UTC 2023 年 3 月 29 日 (水) 6 時 0 分 38 秒 (日本時間)
2350Ignacio SantosSeptember 20, 2024 16:30:59 UTC 2024 年 9 月 21 日 (土) 1 時 30 分 59 秒 (日本時間)

83×10242+529

c231

composite cofactor 合成数の残り
156949539727560721341428502529337934349944525424462111311724850031580547717495880042710616504003128586225773775834975617797848921726482312738130892221443954666013673354425002332183484495498196232613968570655231393226269407363828673<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 28, 2023 21:00:46 UTC 2023 年 3 月 29 日 (水) 6 時 0 分 46 秒 (日本時間)
2350Ignacio SantosSeptember 20, 2024 16:39:27 UTC 2024 年 9 月 21 日 (土) 1 時 39 分 27 秒 (日本時間)

83×10243+529

c217

composite cofactor 合成数の残り
3911252860911235775573239614213527318333397238509756164351952462266917806446075652130414123249926471329340300989492410075728691395566180255880193513430290460437305865215254341489495472676758372429277442852518229921541<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 24, 2023 23:31:04 UTC 2023 年 3 月 25 日 (土) 8 時 31 分 4 秒 (日本時間)
2350Ignacio SantosSeptember 21, 2024 05:52:51 UTC 2024 年 9 月 21 日 (土) 14 時 52 分 51 秒 (日本時間)

83×10244+529

c183

composite cofactor 合成数の残り
957457218066387436095782058734911473154578166436511628202420932785234057818053739746977226158651469989016170633593851402368256910945181621145652011634965259345799195934915979117217517<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 14, 2023 21:44:42 UTC 2023 年 3 月 15 日 (水) 6 時 44 分 42 秒 (日本時間)
2350Ignacio SantosSeptember 21, 2024 06:08:49 UTC 2024 年 9 月 21 日 (土) 15 時 8 分 49 秒 (日本時間)

83×10245+529

c157

name 名前Ignacio Santos
date 日付March 6, 2023 16:28:07 UTC 2023 年 3 月 7 日 (火) 1 時 28 分 7 秒 (日本時間)
composite number 合成数
1027487682912965402406958394469946853290999114327772669828517587941748314359174859073744012257074159508933318596873834649720060835199660804568234259365791529<157>
prime factors 素因数
553993112116651537203251928906104577718039<42>
composite cofactor 合成数の残り
1854693967199744714680695273935019100102931818854010335963968541212342337370324952733695181688364999202661940222911<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:108871169
Step 1 took 23719ms
Step 2 took 10187ms
********** Factor found in step 2: 553993112116651537203251928906104577718039
Found prime factor of 42 digits: 553993112116651537203251928906104577718039
Composite cofactor 1854693967199744714680695273935019100102931818854010335963968541212342337370324952733695181688364999202661940222911 has 115 digits
 
software ソフトウェア
GMP-ECM

c115

name 名前Ignacio Santos
date 日付March 7, 2023 16:31:09 UTC 2023 年 3 月 8 日 (水) 1 時 31 分 9 秒 (日本時間)
composite number 合成数
1854693967199744714680695273935019100102931818854010335963968541212342337370324952733695181688364999202661940222911<115>
prime factors 素因数
3131765297668650394123508598478882214399570886788773151<55>
592219975290107633757061291423356913523375499766142553105761<60>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1750000, q1=1850000.
->               client 1 q0: 1750000
      LatSieveTime: 79
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-> makeJobFile(): Adjusted to q0=1850001, q1=1950000.
->               client 1 q0: 1850001
      LatSieveTime: 80
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-> makeJobFile(): Adjusted to q0=1950001, q1=2050000.
->               client 1 q0: 1950001
      LatSieveTime: 85
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-> makeJobFile(): Adjusted to q0=2050001, q1=2150000.
->               client 1 q0: 2050001
      LatSieveTime: 85
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-> makeJobFile(): Adjusted to q0=2150001, q1=2250000.
->               client 1 q0: 2150001
      LatSieveTime: 83
        LatSieveTime: 83
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        LatSieveTime: 90
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-> makeJobFile(): Adjusted to q0=2250001, q1=2350000.
->               client 1 q0: 2250001
      LatSieveTime: 75
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-> makeJobFile(): Adjusted to q0=2350001, q1=2450000.
->               client 1 q0: 2350001
      LatSieveTime: 81
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-> makeJobFile(): Adjusted to q0=2450001, q1=2550000.
->               client 1 q0: 2450001
      LatSieveTime: 87
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-> makeJobFile(): Adjusted to q0=2550001, q1=2650000.
->               client 1 q0: 2550001
      LatSieveTime: 85
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-> makeJobFile(): Adjusted to q0=2650001, q1=2750000.
->               client 1 q0: 2650001
      LatSieveTime: 86
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-> makeJobFile(): Adjusted to q0=2750001, q1=2850000.
->               client 1 q0: 2750001
      LatSieveTime: 77
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-> makeJobFile(): Adjusted to q0=2850001, q1=2950000.
->               client 1 q0: 2850001
      LatSieveTime: 83
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        LatSieveTime: 123
        LatSieveTime: 125
Tue Mar 07 17:20:54 2023  
Tue Mar 07 17:20:54 2023  
Tue Mar 07 17:20:54 2023  Msieve v. 1.52 (SVN 927)
Tue Mar 07 17:20:54 2023  random seeds: a6ea6360 5795a467
Tue Mar 07 17:20:54 2023  factoring 1854693967199744714680695273935019100102931818854010335963968541212342337370324952733695181688364999202661940222911 (115 digits)
Tue Mar 07 17:20:54 2023  searching for 15-digit factors
Tue Mar 07 17:20:54 2023  commencing number field sieve (115-digit input)
Tue Mar 07 17:20:54 2023  R0: -12634844822774468151380
Tue Mar 07 17:20:54 2023  R1: 5911394357
Tue Mar 07 17:20:54 2023  A0: 8924861057843388568377904983
Tue Mar 07 17:20:54 2023  A1: 558301422180227789143731
Tue Mar 07 17:20:54 2023  A2: -13869717079228586237
Tue Mar 07 17:20:54 2023  A3: -275480849364671
Tue Mar 07 17:20:54 2023  A4: 6061059834
Tue Mar 07 17:20:54 2023  A5: 5760
Tue Mar 07 17:20:54 2023  skew 70011.00, size 4.133e-011, alpha -6.343, combined = 4.665e-010 rroots = 3
Tue Mar 07 17:20:54 2023  
Tue Mar 07 17:20:54 2023  commencing relation filtering
Tue Mar 07 17:20:54 2023  estimated available RAM is 65413.5 MB
Tue Mar 07 17:20:54 2023  commencing duplicate removal, pass 1
Tue Mar 07 17:21:08 2023  found 757301 hash collisions in 7081147 relations
Tue Mar 07 17:21:16 2023  added 57344 free relations
Tue Mar 07 17:21:16 2023  commencing duplicate removal, pass 2
Tue Mar 07 17:21:18 2023  found 509327 duplicates and 6629164 unique relations
Tue Mar 07 17:21:18 2023  memory use: 24.6 MB
Tue Mar 07 17:21:18 2023  reading ideals above 100000
Tue Mar 07 17:21:18 2023  commencing singleton removal, initial pass
Tue Mar 07 17:21:43 2023  memory use: 188.3 MB
Tue Mar 07 17:21:43 2023  reading all ideals from disk
Tue Mar 07 17:21:43 2023  memory use: 228.6 MB
Tue Mar 07 17:21:43 2023  keeping 7709849 ideals with weight <= 200, target excess is 35844
Tue Mar 07 17:21:44 2023  commencing in-memory singleton removal
Tue Mar 07 17:21:44 2023  begin with 6629164 relations and 7709849 unique ideals
Tue Mar 07 17:21:46 2023  reduce to 1697149 relations and 1764356 ideals in 20 passes
Tue Mar 07 17:21:46 2023  max relations containing the same ideal: 83
Tue Mar 07 17:21:46 2023  filtering wants 1000000 more relations
Tue Mar 07 17:21:46 2023  elapsed time 00:00:52
-> makeJobFile(): Adjusted to q0=2950001, q1=3050000.
->               client 1 q0: 2950001
    LatSieveTime: 87
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        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
Tue Mar 07 17:23:47 2023  
Tue Mar 07 17:23:47 2023  
Tue Mar 07 17:23:47 2023  Msieve v. 1.52 (SVN 927)
Tue Mar 07 17:23:47 2023  random seeds: a0208d00 6af73581
Tue Mar 07 17:23:47 2023  factoring 1854693967199744714680695273935019100102931818854010335963968541212342337370324952733695181688364999202661940222911 (115 digits)
Tue Mar 07 17:23:47 2023  searching for 15-digit factors
Tue Mar 07 17:23:47 2023  commencing number field sieve (115-digit input)
Tue Mar 07 17:23:47 2023  R0: -12634844822774468151380
Tue Mar 07 17:23:47 2023  R1: 5911394357
Tue Mar 07 17:23:47 2023  A0: 8924861057843388568377904983
Tue Mar 07 17:23:47 2023  A1: 558301422180227789143731
Tue Mar 07 17:23:47 2023  A2: -13869717079228586237
Tue Mar 07 17:23:47 2023  A3: -275480849364671
Tue Mar 07 17:23:47 2023  A4: 6061059834
Tue Mar 07 17:23:47 2023  A5: 5760
Tue Mar 07 17:23:47 2023  skew 70011.00, size 4.133e-011, alpha -6.343, combined = 4.665e-010 rroots = 3
Tue Mar 07 17:23:47 2023  
Tue Mar 07 17:23:47 2023  commencing relation filtering
Tue Mar 07 17:23:47 2023  estimated available RAM is 65413.5 MB
Tue Mar 07 17:23:47 2023  commencing duplicate removal, pass 1
Tue Mar 07 17:24:03 2023  found 874481 hash collisions in 7725112 relations
Tue Mar 07 17:24:11 2023  added 793 free relations
Tue Mar 07 17:24:11 2023  commencing duplicate removal, pass 2
Tue Mar 07 17:24:13 2023  found 586518 duplicates and 7139387 unique relations
Tue Mar 07 17:24:13 2023  memory use: 26.6 MB
Tue Mar 07 17:24:13 2023  reading ideals above 100000
Tue Mar 07 17:24:13 2023  commencing singleton removal, initial pass
Tue Mar 07 17:24:39 2023  memory use: 188.3 MB
Tue Mar 07 17:24:39 2023  reading all ideals from disk
Tue Mar 07 17:24:39 2023  memory use: 246.3 MB
Tue Mar 07 17:24:39 2023  keeping 7989038 ideals with weight <= 200, target excess is 38736
Tue Mar 07 17:24:40 2023  commencing in-memory singleton removal
Tue Mar 07 17:24:40 2023  begin with 7139387 relations and 7989038 unique ideals
Tue Mar 07 17:24:42 2023  reduce to 2273187 relations and 2194356 ideals in 16 passes
Tue Mar 07 17:24:42 2023  max relations containing the same ideal: 94
Tue Mar 07 17:24:42 2023  removing 191003 relations and 174054 ideals in 16949 cliques
Tue Mar 07 17:24:42 2023  commencing in-memory singleton removal
Tue Mar 07 17:24:42 2023  begin with 2082184 relations and 2194356 unique ideals
Tue Mar 07 17:24:43 2023  reduce to 2068878 relations and 2006870 ideals in 9 passes
Tue Mar 07 17:24:43 2023  max relations containing the same ideal: 87
Tue Mar 07 17:24:43 2023  removing 142242 relations and 125293 ideals in 16949 cliques
Tue Mar 07 17:24:43 2023  commencing in-memory singleton removal
Tue Mar 07 17:24:43 2023  begin with 1926636 relations and 2006870 unique ideals
Tue Mar 07 17:24:43 2023  reduce to 1918110 relations and 1872978 ideals in 8 passes
Tue Mar 07 17:24:43 2023  max relations containing the same ideal: 84
Tue Mar 07 17:24:44 2023  relations with 0 large ideals: 109
Tue Mar 07 17:24:44 2023  relations with 1 large ideals: 304
Tue Mar 07 17:24:44 2023  relations with 2 large ideals: 4894
Tue Mar 07 17:24:44 2023  relations with 3 large ideals: 39412
Tue Mar 07 17:24:44 2023  relations with 4 large ideals: 170398
Tue Mar 07 17:24:44 2023  relations with 5 large ideals: 407618
Tue Mar 07 17:24:44 2023  relations with 6 large ideals: 570780
Tue Mar 07 17:24:44 2023  relations with 7+ large ideals: 724595
Tue Mar 07 17:24:44 2023  commencing 2-way merge
Tue Mar 07 17:24:44 2023  reduce to 1079071 relation sets and 1033939 unique ideals
Tue Mar 07 17:24:44 2023  commencing full merge
Tue Mar 07 17:24:56 2023  memory use: 120.1 MB
Tue Mar 07 17:24:56 2023  found 539443 cycles, need 534139
Tue Mar 07 17:24:56 2023  weight of 534139 cycles is about 37597325 (70.39/cycle)
Tue Mar 07 17:24:56 2023  distribution of cycle lengths:
Tue Mar 07 17:24:56 2023  1 relations: 63180
Tue Mar 07 17:24:56 2023  2 relations: 63425
Tue Mar 07 17:24:56 2023  3 relations: 63041
Tue Mar 07 17:24:56 2023  4 relations: 55618
Tue Mar 07 17:24:56 2023  5 relations: 49662
Tue Mar 07 17:24:56 2023  6 relations: 41171
Tue Mar 07 17:24:56 2023  7 relations: 35943
Tue Mar 07 17:24:56 2023  8 relations: 30501
Tue Mar 07 17:24:56 2023  9 relations: 25078
Tue Mar 07 17:24:56 2023  10+ relations: 106520
Tue Mar 07 17:24:56 2023  heaviest cycle: 23 relations
Tue Mar 07 17:24:56 2023  commencing cycle optimization
Tue Mar 07 17:24:57 2023  start with 3224427 relations
Tue Mar 07 17:25:00 2023  pruned 62003 relations
Tue Mar 07 17:25:00 2023  memory use: 110.1 MB
Tue Mar 07 17:25:00 2023  distribution of cycle lengths:
Tue Mar 07 17:25:00 2023  1 relations: 63180
Tue Mar 07 17:25:00 2023  2 relations: 64680
Tue Mar 07 17:25:00 2023  3 relations: 64908
Tue Mar 07 17:25:00 2023  4 relations: 56625
Tue Mar 07 17:25:00 2023  5 relations: 50437
Tue Mar 07 17:25:00 2023  6 relations: 41425
Tue Mar 07 17:25:00 2023  7 relations: 36030
Tue Mar 07 17:25:00 2023  8 relations: 30302
Tue Mar 07 17:25:00 2023  9 relations: 24883
Tue Mar 07 17:25:00 2023  10+ relations: 101669
Tue Mar 07 17:25:00 2023  heaviest cycle: 23 relations
Tue Mar 07 17:25:01 2023  RelProcTime: 74
Tue Mar 07 17:25:01 2023  elapsed time 00:01:14
Tue Mar 07 17:25:01 2023  
Tue Mar 07 17:25:01 2023  
Tue Mar 07 17:25:01 2023  Msieve v. 1.52 (SVN 927)
Tue Mar 07 17:25:01 2023  random seeds: f66d3530 5d51c705
Tue Mar 07 17:25:01 2023  factoring 1854693967199744714680695273935019100102931818854010335963968541212342337370324952733695181688364999202661940222911 (115 digits)
Tue Mar 07 17:25:01 2023  searching for 15-digit factors
Tue Mar 07 17:25:01 2023  commencing number field sieve (115-digit input)
Tue Mar 07 17:25:01 2023  R0: -12634844822774468151380
Tue Mar 07 17:25:01 2023  R1: 5911394357
Tue Mar 07 17:25:01 2023  A0: 8924861057843388568377904983
Tue Mar 07 17:25:01 2023  A1: 558301422180227789143731
Tue Mar 07 17:25:01 2023  A2: -13869717079228586237
Tue Mar 07 17:25:01 2023  A3: -275480849364671
Tue Mar 07 17:25:01 2023  A4: 6061059834
Tue Mar 07 17:25:01 2023  A5: 5760
Tue Mar 07 17:25:01 2023  skew 70011.00, size 4.133e-011, alpha -6.343, combined = 4.665e-010 rroots = 3
Tue Mar 07 17:25:01 2023  
Tue Mar 07 17:25:01 2023  commencing linear algebra
Tue Mar 07 17:25:01 2023  read 534139 cycles
Tue Mar 07 17:25:02 2023  cycles contain 1866780 unique relations
Tue Mar 07 17:25:06 2023  read 1866780 relations
Tue Mar 07 17:25:07 2023  using 20 quadratic characters above 134212388
Tue Mar 07 17:25:12 2023  building initial matrix
Tue Mar 07 17:25:21 2023  memory use: 231.8 MB
Tue Mar 07 17:25:21 2023  read 534139 cycles
Tue Mar 07 17:25:21 2023  matrix is 533960 x 534139 (160.5 MB) with weight 50291221 (94.15/col)
Tue Mar 07 17:25:21 2023  sparse part has weight 36197353 (67.77/col)
Tue Mar 07 17:25:24 2023  filtering completed in 2 passes
Tue Mar 07 17:25:24 2023  matrix is 533068 x 533247 (160.4 MB) with weight 50256072 (94.25/col)
Tue Mar 07 17:25:24 2023  sparse part has weight 36187046 (67.86/col)
Tue Mar 07 17:25:25 2023  matrix starts at (0, 0)
Tue Mar 07 17:25:25 2023  matrix is 533068 x 533247 (160.4 MB) with weight 50256072 (94.25/col)
Tue Mar 07 17:25:25 2023  sparse part has weight 36187046 (67.86/col)
Tue Mar 07 17:25:25 2023  saving the first 48 matrix rows for later
Tue Mar 07 17:25:25 2023  matrix includes 64 packed rows
Tue Mar 07 17:25:25 2023  matrix is 533020 x 533247 (154.6 MB) with weight 39914248 (74.85/col)
Tue Mar 07 17:25:25 2023  sparse part has weight 35195810 (66.00/col)
Tue Mar 07 17:25:25 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Tue Mar 07 17:25:27 2023  commencing Lanczos iteration (32 threads)
Tue Mar 07 17:25:27 2023  memory use: 120.1 MB
Tue Mar 07 17:25:28 2023  linear algebra at 0.6%, ETA 0h 2m
Tue Mar 07 17:28:59 2023  lanczos halted after 8430 iterations (dim = 533020)
Tue Mar 07 17:28:59 2023  recovered 32 nontrivial dependencies
Tue Mar 07 17:28:59 2023  BLanczosTime: 238
Tue Mar 07 17:28:59 2023  elapsed time 00:03:58
Tue Mar 07 17:28:59 2023  
Tue Mar 07 17:28:59 2023  
Tue Mar 07 17:28:59 2023  Msieve v. 1.52 (SVN 927)
Tue Mar 07 17:28:59 2023  random seeds: d8e57b18 e04b2b2c
Tue Mar 07 17:28:59 2023  factoring 1854693967199744714680695273935019100102931818854010335963968541212342337370324952733695181688364999202661940222911 (115 digits)
Tue Mar 07 17:28:59 2023  searching for 15-digit factors
Tue Mar 07 17:28:59 2023  commencing number field sieve (115-digit input)
Tue Mar 07 17:28:59 2023  R0: -12634844822774468151380
Tue Mar 07 17:28:59 2023  R1: 5911394357
Tue Mar 07 17:28:59 2023  A0: 8924861057843388568377904983
Tue Mar 07 17:28:59 2023  A1: 558301422180227789143731
Tue Mar 07 17:28:59 2023  A2: -13869717079228586237
Tue Mar 07 17:28:59 2023  A3: -275480849364671
Tue Mar 07 17:28:59 2023  A4: 6061059834
Tue Mar 07 17:28:59 2023  A5: 5760
Tue Mar 07 17:28:59 2023  skew 70011.00, size 4.133e-011, alpha -6.343, combined = 4.665e-010 rroots = 3
Tue Mar 07 17:28:59 2023  
Tue Mar 07 17:28:59 2023  commencing square root phase
Tue Mar 07 17:28:59 2023  reading relations for dependency 1
Tue Mar 07 17:29:00 2023  read 266551 cycles
Tue Mar 07 17:29:00 2023  cycles contain 933676 unique relations
Tue Mar 07 17:29:02 2023  read 933676 relations
Tue Mar 07 17:29:04 2023  multiplying 933676 relations
Tue Mar 07 17:29:26 2023  multiply complete, coefficients have about 41.71 million bits
Tue Mar 07 17:29:26 2023  initial square root is modulo 974387
Tue Mar 07 17:29:52 2023  GCD is 1, no factor found
Tue Mar 07 17:29:52 2023  reading relations for dependency 2
Tue Mar 07 17:29:52 2023  read 266369 cycles
Tue Mar 07 17:29:52 2023  cycles contain 932114 unique relations
Tue Mar 07 17:29:55 2023  read 932114 relations
Tue Mar 07 17:29:57 2023  multiplying 932114 relations
Tue Mar 07 17:30:19 2023  multiply complete, coefficients have about 41.64 million bits
Tue Mar 07 17:30:19 2023  initial square root is modulo 951967
Tue Mar 07 17:30:45 2023  sqrtTime: 106
Tue Mar 07 17:30:45 2023  prp55 factor: 3131765297668650394123508598478882214399570886788773151
Tue Mar 07 17:30:45 2023  prp60 factor: 592219975290107633757061291423356913523375499766142553105761
Tue Mar 07 17:30:45 2023  elapsed time 00:01:46
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 1, 2023 08:32:11 UTC 2023 年 3 月 1 日 (水) 17 時 32 分 11 秒 (日本時間)

83×10246+529

c186

name 名前Dmitry Domanov
date 日付March 15, 2023 15:05:01 UTC 2023 年 3 月 16 日 (木) 0 時 5 分 1 秒 (日本時間)
composite number 合成数
106595095930513057360659011905725351188581238148572724511545016667421958764674048706121725510835091041410041419932161927930368958024079189308051044121718050537399985823416324720032765641<186>
prime factors 素因数
25386287042364418077649698320075950703837<41>
composite cofactor 合成数の残り
4198924236247233616318339717301335789910619603174450035718483306514696383674698298593565783348830649578279197255133502656041104844523613621302493<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1841295598
Step 1 took 9524ms
Step 2 took 4745ms
********** Factor found in step 2: 25386287042364418077649698320075950703837
Found prime factor of 41 digits: 25386287042364418077649698320075950703837
Composite cofactor 4198924236247233616318339717301335789910619603174450035718483306514696383674698298593565783348830649578279197255133502656041104844523613621302493 has 145 digits

c145

name 名前NFS@Home
date 日付July 19, 2023 00:16:31 UTC 2023 年 7 月 19 日 (水) 9 時 16 分 31 秒 (日本時間)
composite number 合成数
4198924236247233616318339717301335789910619603174450035718483306514696383674698298593565783348830649578279197255133502656041104844523613621302493<145>
prime factors 素因数
48140301026202126109058277083398478724390981663136730025461<59>
87222641876747196788374508733653748607018288342676960232211701242879123883785881981513<86>
factorization results 素因数分解の結果
Msieve v. 1.53 (SVN 1005)
Tue Jul 18 10:37:04 2023
random seeds: 541db8f0 68b63233
factoring 4198924236247233616318339717301335789910619603174450035718483306514696383674698298593565783348830649578279197255133502656041104844523613621302493 (145 digits)
searching for 15-digit factors
commencing number field sieve (145-digit input)
R0: -10229291208461590107351406186
R1: 658448796960779657179
A0: 3111317225842969928040666666373410
A1: -14398789290158606610969567175
A2: -53716294930765355878932
A3: 117504807639652291
A4: 346706119536
A5: 876960
skew 353572.67, size 4.820e-014, alpha -6.709, combined = 1.111e-011 rroots = 3
 
commencing relation filtering
setting target matrix density to 110.0
estimated available RAM is 16335.2 MB
commencing duplicate removal, pass 1
error -9 reading relation 4571304
error -5 reading relation 6934907
error -9 reading relation 9892756
read 10M relations
read 20M relations
read 30M relations
error -15 reading relation 36810393
read 40M relations
read 50M relations
error -15 reading relation 54020988
error -15 reading relation 55543474
read 60M relations
read 70M relations
read 80M relations
read 90M relations
error -1 reading relation 94333428
read 100M relations
error -15 reading relation 105677717
error -9 reading relation 107661378
read 110M relations
error -9 reading relation 111012174
error -15 reading relation 111324789
skipped 4 relations with composite factors
found 17301653 hash collisions in 111351007 relations
added 121181 free relations
commencing duplicate removal, pass 2
found 15062647 duplicates and 96409541 unique relations
memory use: 660.8 MB
reading ideals above 41091072
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 1576.3 MB
commencing in-memory singleton removal
begin with 96409541 relations and 70783128 unique ideals
reduce to 63788857 relations and 35380317 ideals in 10 passes
max relations containing the same ideal: 33
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 2188.0 MB
keeping 40025820 ideals with weight <= 200, target excess is 342654
commencing in-memory singleton removal
begin with 63788857 relations and 40025820 unique ideals
reduce to 63788797 relations and 40025760 ideals in 4 passes
max relations containing the same ideal: 200
removing 6098665 relations and 4098665 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 57690132 relations and 40025760 unique ideals
reduce to 57265804 relations and 35486296 ideals in 6 passes
max relations containing the same ideal: 195
removing 5202928 relations and 3202928 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 52062876 relations and 35486296 unique ideals
reduce to 51796858 relations and 32008075 ideals in 6 passes
max relations containing the same ideal: 185
removing 4953700 relations and 2953700 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 46843158 relations and 32008075 unique ideals
reduce to 46625707 relations and 28829411 ideals in 5 passes
max relations containing the same ideal: 174
removing 4800526 relations and 2800526 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 41825181 relations and 28829411 unique ideals
reduce to 41630156 relations and 25826750 ideals in 5 passes
max relations containing the same ideal: 161
removing 4690112 relations and 2690112 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 36940044 relations and 25826750 unique ideals
reduce to 36757378 relations and 22947121 ideals in 6 passes
max relations containing the same ideal: 150
removing 4599352 relations and 2599352 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 32158026 relations and 22947121 unique ideals
reduce to 31981057 relations and 20163950 ideals in 5 passes
max relations containing the same ideal: 139
removing 4517433 relations and 2517433 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 27463624 relations and 20163950 unique ideals
reduce to 27287512 relations and 17463097 ideals in 5 passes
max relations containing the same ideal: 122
removing 4443162 relations and 2443162 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 22844350 relations and 17463097 unique ideals
reduce to 22659798 relations and 14827351 ideals in 6 passes
max relations containing the same ideal: 107
removing 4372509 relations and 2372509 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 18287289 relations and 14827351 unique ideals
reduce to 18089652 relations and 12247885 ideals in 6 passes
max relations containing the same ideal: 95
removing 4299550 relations and 2299550 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 13790102 relations and 12247885 unique ideals
reduce to 13580853 relations and 9728520 ideals in 6 passes
max relations containing the same ideal: 76
removing 2938339 relations and 1569205 ideals in 1369134 cliques
commencing in-memory singleton removal
begin with 10642514 relations and 9728520 unique ideals
reduce to 10441307 relations and 7947594 ideals in 6 passes
max relations containing the same ideal: 61
removing 2080283 relations and 1132698 ideals in 947585 cliques
commencing in-memory singleton removal
begin with 8361024 relations and 7947594 unique ideals
reduce to 8149166 relations and 6590472 ideals in 6 passes
max relations containing the same ideal: 55
removing 1870055 relations and 1033712 ideals in 836343 cliques
commencing in-memory singleton removal
begin with 6279111 relations and 6590472 unique ideals
reduce to 6040307 relations and 5301342 ideals in 8 passes
max relations containing the same ideal: 46
removing 881623 relations and 540137 ideals in 341486 cliques
commencing in-memory singleton removal
begin with 5158684 relations and 5301342 unique ideals
reduce to 5021562 relations and 4616556 ideals in 7 passes
max relations containing the same ideal: 43
relations with 0 large ideals: 1069
relations with 1 large ideals: 15227
relations with 2 large ideals: 133095
relations with 3 large ideals: 516061
relations with 4 large ideals: 1096328
relations with 5 large ideals: 1396344
relations with 6 large ideals: 1113849
relations with 7+ large ideals: 749589
commencing 2-way merge
reduce to 4020759 relation sets and 3615753 unique ideals
commencing full merge
memory use: 414.5 MB
found 1729624 cycles, need 1685953
weight of 1685953 cycles is about 186201397 (110.44/cycle)
distribution of cycle lengths:
1 relations: 48618
2 relations: 109869
3 relations: 139839
4 relations: 145609
5 relations: 148600
6 relations: 141214
7 relations: 133544
8 relations: 122292
9 relations: 110527
10+ relations: 585841
heaviest cycle: 25 relations
commencing cycle optimization
start with 13832000 relations
pruned 955335 relations
memory use: 345.5 MB
distribution of cycle lengths:
1 relations: 48618
2 relations: 114775
3 relations: 150411
4 relations: 157369
5 relations: 162037
6 relations: 152948
7 relations: 144394
8 relations: 129859
9 relations: 116247
10+ relations: 509295
heaviest cycle: 25 relations
RelProcTime: 2875
 
commencing linear algebra
read 1685953 cycles
cycles contain 4821177 unique relations
read 4821177 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 691.8 MB
read 1685953 cycles
matrix is 1685768 x 1685953 (717.7 MB) with weight 224260179 (133.02/col)
sparse part has weight 167920076 (99.60/col)
filtering completed in 2 passes
matrix is 1685404 x 1685589 (717.7 MB) with weight 224234600 (133.03/col)
sparse part has weight 167907167 (99.61/col)
matrix starts at (0, 0)
matrix is 1685404 x 1685589 (717.7 MB) with weight 224234600 (133.03/col)
sparse part has weight 167907167 (99.61/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 1685356 x 1685589 (698.6 MB) with weight 187955482 (111.51/col)
sparse part has weight 166271317 (98.64/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (4 threads)
memory use: 563.8 MB
linear algebra at 0.1%, ETA 1h32m1685589 dimensions (0.1%, ETA 1h32m)
checkpointing every 1040000 dimensions89 dimensions (0.1%, ETA 1h37m)
linear algebra completed 1685348 of 1685589 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 26650 iterations (dim = 1685355)
recovered 32 nontrivial dependencies
BLanczosTime: 5914
 
commencing square root phase
handling dependencies 1 to 64
reading relations for dependency 1
read 842699 cycles
cycles contain 2411066 unique relations
read 2411066 relations
multiplying 2411066 relations
multiply complete, coefficients have about 127.97 million bits
initial square root is modulo 1533383653
GCD is 1, no factor found
reading relations for dependency 2
read 842970 cycles
cycles contain 2409736 unique relations
read 2409736 relations
multiplying 2409736 relations
multiply complete, coefficients have about 127.91 million bits
initial square root is modulo 1515967471
sqrtTime: 738
p59 factor: 48140301026202126109058277083398478724390981663136730025461
p86 factor: 87222641876747196788374508733653748607018288342676960232211701242879123883785881981513
elapsed time 02:38:48

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 14, 2023 21:44:34 UTC 2023 年 3 月 15 日 (水) 6 時 44 分 34 秒 (日本時間)
2350Ignacio SantosMarch 17, 2023 16:14:19 UTC 2023 年 3 月 18 日 (土) 1 時 14 分 19 秒 (日本時間)
4511e64480Ignacio SantosMarch 18, 2023 09:44:41 UTC 2023 年 3 月 18 日 (土) 18 時 44 分 41 秒 (日本時間)
5043e66454Ignacio SantosMarch 29, 2023 14:18:15 UTC 2023 年 3 月 29 日 (水) 23 時 18 分 15 秒 (日本時間)

83×10247+529

c212

composite cofactor 合成数の残り
10616841084316573028118663781882816982662186774405885147660816340780361109003749057848582846191005055219020245719010731012277978365102444285763384367573691953038906216113040784100706405689365258198292136286759029<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 24, 2023 23:31:12 UTC 2023 年 3 月 25 日 (土) 8 時 31 分 12 秒 (日本時間)
2350Ignacio SantosSeptember 21, 2024 06:13:19 UTC 2024 年 9 月 21 日 (土) 15 時 13 分 19 秒 (日本時間)

83×10248+529

c202

composite cofactor 合成数の残り
1143035578822086239831846797754410891257409680826185115057505217380945829066711986156168561264022670416825582356584790646228941302811944002447428872039018749440090858237548816855323989923458272008746983<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 24, 2023 23:31:19 UTC 2023 年 3 月 25 日 (土) 8 時 31 分 19 秒 (日本時間)
2350Ignacio SantosSeptember 21, 2024 06:26:31 UTC 2024 年 9 月 21 日 (土) 15 時 26 分 31 秒 (日本時間)

83×10249+529

c206

composite cofactor 合成数の残り
88979877614431977331901537491960443076063425462833113424176972306315864665019622249959381851201485797681456777263208736371314790076592712343811188649193755609551298226131785901432644718116829988919546912689<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 24, 2023 23:31:27 UTC 2023 年 3 月 25 日 (土) 8 時 31 分 27 秒 (日本時間)
2350Ignacio SantosSeptember 21, 2024 06:34:42 UTC 2024 年 9 月 21 日 (土) 15 時 34 分 42 秒 (日本時間)

83×10251+529

c248

name 名前Dmitry Domanov
date 日付March 29, 2023 23:39:55 UTC 2023 年 3 月 30 日 (木) 8 時 39 分 55 秒 (日本時間)
composite number 合成数
64383009091191163238077507834558937602780104874491917217412889013000713642992336094821434112135033665332464550560054609202891805516770610319898228303701635173291135312916938161283316267957429644109342517608365136988426572341679853548046790157932297<248>
prime factors 素因数
29105615031733979929193960936616379<35>
2212047710415811024550510466501523668230236769300125675495160112757781683621335595401153561597003980164765967124673404686832729114650251839639508220245779717012330501542352434696033750121973509844967667623986732043<214>
factorization results 素因数分解の結果
Resuming ECM residue saved by @26675c0fe11f with GMP-ECM 7.0.5-dev on Tue Mar 28 21:28:46 2023 
Input number is 64383009091191163238077507834558937602780104874491917217412889013000713642992336094821434112135033665332464550560054609202891805516770610319898228303701635173291135312916938161283316267957429644109342517608365136988426572341679853548046790157932297 (248 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2738215171
Step 1 took 0ms
Step 2 took 9208ms
********** Factor found in step 2: 29105615031733979929193960936616379
Found prime factor of 35 digits: 29105615031733979929193960936616379
Prime cofactor 2212047710415811024550510466501523668230236769300125675495160112757781683621335595401153561597003980164765967124673404686832729114650251839639508220245779717012330501542352434696033750121973509844967667623986732043 has 214 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 28, 2023 21:00:53 UTC 2023 年 3 月 29 日 (水) 6 時 0 分 53 秒 (日本時間)

83×10252+529

c219

name 名前Thomas Kozlowski
date 日付October 3, 2024 11:46:15 UTC 2024 年 10 月 3 日 (木) 20 時 46 分 15 秒 (日本時間)
composite number 合成数
565664625032277455210981064574774555019882732334883454903300003435959375663495215145617561084665785316149150944558010289681450652674006859443839615751239612884326626368080100895350759745775744670265030592691199319444587<219>
prime factors 素因数
30045438908138627646286783035035018431<38>
composite cofactor 合成数の残り
18826971599973922952131585812897673381706906669949196197382076571622986698924698678117922528346665401441661183090376636599569108824815245913151578384377529497575001657142235569563477<182>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 565664625032277455210981064574774555019882732334883454903300003435959375663495215145617561084665785316149150944558010289681450652674006859443839615751239612884326626368080100895350759745775744670265030592691199319444587 (219 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1982807236
Step 1 took 10713ms
Step 2 took 4431ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4178866938
Step 1 took 10129ms
Step 2 took 4415ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3883604495
Step 1 took 10129ms
Step 2 took 4402ms
Run 13 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:461656897
Step 1 took 10159ms
Step 2 took 4399ms
** Factor found in step 2: 30045438908138627646286783035035018431
Found prime factor of 38 digits: 30045438908138627646286783035035018431
Composite cofactor 18826971599973922952131585812897673381706906669949196197382076571622986698924698678117922528346665401441661183090376636599569108824815245913151578384377529497575001657142235569563477 has 182 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 24, 2023 23:31:34 UTC 2023 年 3 月 25 日 (土) 8 時 31 分 34 秒 (日本時間)

83×10253+529

c232

composite cofactor 合成数の残り
2004941695984055281626445804337286399946024435379093544571749177048236080216128095434450205578510919656097698074737298156410623274606707782213885195732844157807148255968387743493343017252433788045732579306975051766410866110760138339<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622011792Dmitry DomanovMarch 28, 2023 21:01:01 UTC 2023 年 3 月 29 日 (水) 6 時 1 分 1 秒 (日本時間)
409Thomas KozlowskiOctober 3, 2024 11:27:40 UTC 2024 年 10 月 3 日 (木) 20 時 27 分 40 秒 (日本時間)

83×10254+529

c207

composite cofactor 合成数の残り
264592931153967005863055857558653013136542316216059677244389729165798108945445503598822851615814088364336218764883012549826687745084745079182205029459579165581390369082804893812036689012921894430089765785811<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622031000Dmitry DomanovMarch 24, 2023 23:31:43 UTC 2023 年 3 月 25 日 (土) 8 時 31 分 43 秒 (日本時間)
1203Thomas KozlowskiOctober 3, 2024 11:34:35 UTC 2024 年 10 月 3 日 (木) 20 時 34 分 35 秒 (日本時間)

83×10255+529

c218

composite cofactor 合成数の残り
28614060758282582493050835797978376848206390254406677602309904733603019267421057320161517487786802383714516909546211917166554654671929695730228128528733757799962145561654978474997085703740782602510831022935490590602437<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622001000Dmitry DomanovMarch 24, 2023 23:31:54 UTC 2023 年 3 月 25 日 (土) 8 時 31 分 54 秒 (日本時間)
1200Thomas KozlowskiOctober 3, 2024 11:42:21 UTC 2024 年 10 月 3 日 (木) 20 時 42 分 21 秒 (日本時間)

83×10256+529

c241

name 名前Dmitry Domanov
date 日付March 29, 2023 04:39:25 UTC 2023 年 3 月 29 日 (水) 13 時 39 分 25 秒 (日本時間)
composite number 合成数
1972682198114420090596500284367253814974990515530866000364124723265638719434576173299443463196512444981395832892320905699196062673042508942495529737651217243336380117251010781823676579071757176477424710505276228393158792612345415048690437299<241>
prime factors 素因数
2235730196115826438670319982571470148613821<43>
composite cofactor 合成数の残り
882343585796531137145355330228960503431401885768850632296042722469375194997448253111036953716984464333401150285357023582156466120099275442015904408069507470597791497619220909793894167476764355100719<198>
factorization results 素因数分解の結果
Resuming ECM residue saved by @26675c0fe11f with GMP-ECM 7.0.5-dev on Tue Mar 28 21:37:43 2023 
Input number is 1972682198114420090596500284367253814974990515530866000364124723265638719434576173299443463196512444981395832892320905699196062673042508942495529737651217243336380117251010781823676579071757176477424710505276228393158792612345415048690437299 (241 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:365919995
Step 1 took 0ms
Step 2 took 8836ms
********** Factor found in step 2: 2235730196115826438670319982571470148613821
Found prime factor of 43 digits: 2235730196115826438670319982571470148613821
Composite cofactor 882343585796531137145355330228960503431401885768850632296042722469375194997448253111036953716984464333401150285357023582156466120099275442015904408069507470597791497619220909793894167476764355100719 has 198 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovMarch 28, 2023 21:01:09 UTC 2023 年 3 月 29 日 (水) 6 時 1 分 9 秒 (日本時間)
400Thomas KozlowskiOctober 3, 2024 11:44:54 UTC 2024 年 10 月 3 日 (木) 20 時 44 分 54 秒 (日本時間)

83×10257+529

c242

name 名前Dmitry Domanov
date 日付March 29, 2023 11:04:08 UTC 2023 年 3 月 29 日 (水) 20 時 4 分 8 秒 (日本時間)
composite number 合成数
40803107618503584484705572234442745726397507664827298230991466843453364455558084266152293247803934047089020433728148188640632150145879852778910809068985815504534890859286474684205939908087032970108075109838070336260020697806888390843035008519<242>
prime factors 素因数
8162493932095808103312673814386593593<37>
composite cofactor 合成数の残り
4998853041478089990212903679054175094231055926913114477199406591157748418912971388464381046677921270248361877306637954117105257945815548695791166621459624059258111444371503081430036337250907954776966117183<205>
factorization results 素因数分解の結果
Resuming ECM residue saved by @26675c0fe11f with GMP-ECM 7.0.5-dev on Tue Mar 28 21:42:11 2023 
Input number is 40803107618503584484705572234442745726397507664827298230991466843453364455558084266152293247803934047089020433728148188640632150145879852778910809068985815504534890859286474684205939908087032970108075109838070336260020697806888390843035008519 (242 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1662858628
Step 1 took 0ms
Step 2 took 9120ms
********** Factor found in step 2: 8162493932095808103312673814386593593
Found prime factor of 37 digits: 8162493932095808103312673814386593593
Composite cofactor 4998853041478089990212903679054175094231055926913114477199406591157748418912971388464381046677921270248361877306637954117105257945815548695791166621459624059258111444371503081430036337250907954776966117183 has 205 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622051792Dmitry DomanovMarch 28, 2023 21:01:17 UTC 2023 年 3 月 29 日 (水) 6 時 1 分 17 秒 (日本時間)
413Thomas KozlowskiOctober 3, 2024 11:47:28 UTC 2024 年 10 月 3 日 (木) 20 時 47 分 28 秒 (日本時間)

83×10259+529

c190

composite cofactor 合成数の残り
8207702114748336893152338576784987828477281268198882475354006230262079554320115167408130750408303959638990417080384384282073037154977462401166826707983337860611897271711981599643452797925461<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622041000Dmitry DomanovMarch 14, 2023 21:44:26 UTC 2023 年 3 月 15 日 (水) 6 時 44 分 26 秒 (日本時間)
1204Thomas KozlowskiOctober 3, 2024 11:53:31 UTC 2024 年 10 月 3 日 (木) 20 時 53 分 31 秒 (日本時間)

83×10260+529

c237

name 名前Dmitry Domanov
date 日付March 29, 2023 11:04:32 UTC 2023 年 3 月 29 日 (水) 20 時 4 分 32 秒 (日本時間)
composite number 合成数
110216839318966380288616935212638524232718119262992467206117679998187928928895269847211657221726801102807511722551862523263919229705548250133753473865499114355630892413494196318103481456539456641662401275596995766291373006620203163722253<237>
prime factors 素因数
223196248066441882153730756595711488527<39>
composite cofactor 合成数の残り
493811344383157485420345557024573994715756316276312761529571361694375417335263913190460920313838060445663251202743204643164904981620726112648490585414884043692303896899216647431207912125716588271139<198>
factorization results 素因数分解の結果
Resuming ECM residue saved by @26675c0fe11f with GMP-ECM 7.0.5-dev on Tue Mar 28 21:46:39 2023 
Input number is 110216839318966380288616935212638524232718119262992467206117679998187928928895269847211657221726801102807511722551862523263919229705548250133753473865499114355630892413494196318103481456539456641662401275596995766291373006620203163722253 (237 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2399087288
Step 1 took 0ms
Step 2 took 9116ms
********** Factor found in step 2: 223196248066441882153730756595711488527
Found prime factor of 39 digits: 223196248066441882153730756595711488527
Composite cofactor 493811344383157485420345557024573994715756316276312761529571361694375417335263913190460920313838060445663251202743204643164904981620726112648490585414884043692303896899216647431207912125716588271139 has 198 digits

c198

name 名前Dmitry Domanov
date 日付March 29, 2023 23:40:44 UTC 2023 年 3 月 30 日 (木) 8 時 40 分 44 秒 (日本時間)
composite number 合成数
493811344383157485420345557024573994715756316276312761529571361694375417335263913190460920313838060445663251202743204643164904981620726112648490585414884043692303896899216647431207912125716588271139<198>
prime factors 素因数
19280662625597227189405594107991624501<38>
composite cofactor 合成数の残り
25611741358285473195097396743043997642788562318829047606821490478391249799922191992291285202685780723713887346338102282574129719782889993596532154765659422715639<161>
factorization results 素因数分解の結果
Resuming ECM residue saved by @26675c0fe11f with GMP-ECM 7.0.5-dev on Tue Mar 28 21:46:39 2023 
Input number is 493811344383157485420345557024573994715756316276312761529571361694375417335263913190460920313838060445663251202743204643164904981620726112648490585414884043692303896899216647431207912125716588271139 (198 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2399088154
Step 1 took 0ms
Step 2 took 7456ms
********** Factor found in step 2: 19280662625597227189405594107991624501
Found prime factor of 38 digits: 19280662625597227189405594107991624501
Composite cofactor 25611741358285473195097396743043997642788562318829047606821490478391249799922191992291285202685780723713887346338102282574129719782889993596532154765659422715639 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 28, 2023 21:01:25 UTC 2023 年 3 月 29 日 (水) 6 時 1 分 25 秒 (日本時間)
2350Ignacio SantosApril 2, 2023 08:55:32 UTC 2023 年 4 月 2 日 (日) 17 時 55 分 32 秒 (日本時間)
4511e64480Ignacio SantosApril 2, 2023 13:55:08 UTC 2023 年 4 月 2 日 (日) 22 時 55 分 8 秒 (日本時間)

83×10261+529

c177

composite cofactor 合成数の残り
478582053201416481322735694044711152412245068718250178123774996628498708444990680058554426019811453805695994600649436250162144770860613779631805181430034293013396972485877861921<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 1, 2023 11:45:41 UTC 2023 年 3 月 1 日 (水) 20 時 45 分 41 秒 (日本時間)
4511e64480Ignacio SantosMarch 12, 2023 09:26:16 UTC 2023 年 3 月 12 日 (日) 18 時 26 分 16 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovMay 8, 2024 16:13:46 UTC 2024 年 5 月 9 日 (木) 1 時 13 分 46 秒 (日本時間)

83×10262+529

c256

composite cofactor 合成数の残り
2800887121265899471963261647765807933572838203441619408951805317530768689904688983352350344517889778977070399224682049030750649491977793595028518497686217520187410799337953973690099671221746017418602272017540815438263041797699252781358526361362411428019003<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e621961792Dmitry DomanovMarch 20, 2023 09:02:01 UTC 2023 年 3 月 20 日 (月) 18 時 2 分 1 秒 (日本時間)
404Thomas KozlowskiOctober 3, 2024 11:57:11 UTC 2024 年 10 月 3 日 (木) 20 時 57 分 11 秒 (日本時間)

83×10263+529

c233

name 名前Dmitry Domanov
date 日付March 29, 2023 23:41:00 UTC 2023 年 3 月 30 日 (木) 8 時 41 分 0 秒 (日本時間)
composite number 合成数
50604673027912899097910624291852319422215606608442707510862893356987513796366203176469274163161998359303772752995608441133221527843276861040404887555503019158680816231109996974997302767934351350801145898427733858842798970531046314091<233>
prime factors 素因数
56455891333295773023575632856401082417<38>
composite cofactor 合成数の残り
896357702142379895425442154347618857983180863598568138846265966009648827555117549555694060715981660658535702904601950576712031058704874216041749800986786591697367377465958379105701531022198130523<195>
factorization results 素因数分解の結果
Resuming ECM residue saved by @26675c0fe11f with GMP-ECM 7.0.5-dev on Tue Mar 28 21:51:07 2023 
Input number is 50604673027912899097910624291852319422215606608442707510862893356987513796366203176469274163161998359303772752995608441133221527843276861040404887555503019158680816231109996974997302767934351350801145898427733858842798970531046314091 (233 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1993123378
Step 1 took 0ms
Step 2 took 8512ms
********** Factor found in step 2: 56455891333295773023575632856401082417
Found prime factor of 38 digits: 56455891333295773023575632856401082417
Composite cofactor 896357702142379895425442154347618857983180863598568138846265966009648827555117549555694060715981660658535702904601950576712031058704874216041749800986786591697367377465958379105701531022198130523 has 195 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622051792Dmitry DomanovMarch 28, 2023 21:01:32 UTC 2023 年 3 月 29 日 (水) 6 時 1 分 32 秒 (日本時間)
413Thomas KozlowskiOctober 3, 2024 11:59:44 UTC 2024 年 10 月 3 日 (木) 20 時 59 分 44 秒 (日本時間)

83×10266+529

c263

name 名前Dmitry Domanov
date 日付March 20, 2023 16:03:23 UTC 2023 年 3 月 21 日 (火) 1 時 3 分 23 秒 (日本時間)
composite number 合成数
21997476915900730422245544848349924201465084968567460696074377974959980493803602285617360514793965800549141833370437511263768300310614975246212723552672030870676038121892525098326071515652662489796351069130384081247548473958167689681858177230756183146222264626997<263>
prime factors 素因数
2019519491490204616991551664849765188349<40>
composite cofactor 合成数の残り
10892431099869592893583568400696068552030420857169985973091121000192569561265361607190467221226444004563895225123803274289253699838248656040248343111209638827418921011789501174865854401236700445763785093510199475383285030553<224>
factorization results 素因数分解の結果
Resuming ECM residue saved by @d3d9b6b29b12 with GMP-ECM 7.0.5-dev on Mon Mar 20 09:17:50 2023 
Input number is 21997476915900730422245544848349924201465084968567460696074377974959980493803602285617360514793965800549141833370437511263768300310614975246212723552672030870676038121892525098326071515652662489796351069130384081247548473958167689681858177230756183146222264626997 (263 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1292073694
Step 1 took 0ms
Step 2 took 6948ms
********** Factor found in step 2: 2019519491490204616991551664849765188349
Found prime factor of 40 digits: 2019519491490204616991551664849765188349
Composite cofactor 10892431099869592893583568400696068552030420857169985973091121000192569561265361607190467221226444004563895225123803274289253699838248656040248343111209638827418921011789501174865854401236700445763785093510199475383285030553 has 224 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e621971792Dmitry DomanovMarch 20, 2023 09:02:11 UTC 2023 年 3 月 20 日 (月) 18 時 2 分 11 秒 (日本時間)
405Thomas KozlowskiOctober 3, 2024 12:02:37 UTC 2024 年 10 月 3 日 (木) 21 時 2 分 37 秒 (日本時間)

83×10267+529

c191

name 名前Thomas Kozlowski
date 日付October 3, 2024 18:37:26 UTC 2024 年 10 月 4 日 (金) 3 時 37 分 26 秒 (日本時間)
composite number 合成数
20726626563360885515065113191838747845580743895884684353068631409137311499827019751764259291289985245807960473839211608538888158150314540566916175475984230560724955806430875480902005881520329<191>
prime factors 素因数
60033431970932048732307106331965450141163<41>
345251402142003749637893767433928435009959845714130109176969913450465309977042222737417755232125715515831240350349787492760300114568331174889041062683<150>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 20726626563360885515065113191838747845580743895884684353068631409137311499827019751764259291289985245807960473839211608538888158150314540566916175475984230560724955806430875480902005881520329 (191 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4114918455
Step 1 took 9260ms
Step 2 took 3713ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3584269335
Step 1 took 7590ms
Step 2 took 3726ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2979062012
Step 1 took 9284ms
Step 2 took 4532ms
Run 26 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4178760724
Step 1 took 9164ms
Step 2 took 4026ms
** Factor found in step 2: 60033431970932048732307106331965450141163
Found prime factor of 41 digits: 60033431970932048732307106331965450141163
Prime cofactor 345251402142003749637893767433928435009959845714130109176969913450465309977042222737417755232125715515831240350349787492760300114568331174889041062683 has 150 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 14, 2023 21:44:18 UTC 2023 年 3 月 15 日 (水) 6 時 44 分 18 秒 (日本時間)

83×10269+529

c243

composite cofactor 合成数の残り
307326412829101835027397506106881161693560005629564042981053874021753970750595985315804088272400588114762994186722163104650190208740003146490881652168234562057243916322908460881821919954899205959523238751426131155214338465507927267077869468417<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622061792Dmitry DomanovMarch 28, 2023 21:02:03 UTC 2023 年 3 月 29 日 (水) 6 時 2 分 3 秒 (日本時間)
414Thomas KozlowskiOctober 3, 2024 12:11:11 UTC 2024 年 10 月 3 日 (木) 21 時 11 分 11 秒 (日本時間)

83×10270+529

c263

name 名前Dmitry Domanov
date 日付March 20, 2023 11:07:10 UTC 2023 年 3 月 20 日 (月) 20 時 7 分 10 秒 (日本時間)
composite number 合成数
45370982441322654092970224572303546373754402813802064517016631858595576026592984541030497983004003738840085782949300109302085858870806245572215758442475527476974177213577913059397510218469064584968150958787581869833257747463139460457766449419688626097534724703277<263>
prime factors 素因数
13868085551337454572183267906898139<35>
composite cofactor 合成数の残り
3271611086718961211385985436540443879321710434095178049288362444266556918936625013087037188871879856493736238356951458998615026361703897267987310340480717399259037110645316247736752778068223712432949205189539317750328784008974743<229>
factorization results 素因数分解の結果
GPU: factor 13868085551337454572183267906898139 found in Step 1 with curve 995 (-sigma 3:-97046099)
Computing 1792 Step 1 took 309ms of CPU time / 267889ms of GPU time
Throughput: 6.689 curves per second (on average 149.49ms per Step 1)
********** Factor found in step 1: 13868085551337454572183267906898139
Found prime factor of 35 digits: 13868085551337454572183267906898139
Composite cofactor 3271611086718961211385985436540443879321710434095178049288362444266556918936625013087037188871879856493736238356951458998615026361703897267987310340480717399259037110645316247736752778068223712432949205189539317750328784008974743 has 229 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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e621971792Dmitry DomanovMarch 20, 2023 09:02:19 UTC 2023 年 3 月 20 日 (月) 18 時 2 分 19 秒 (日本時間)
405Thomas KozlowskiOctober 3, 2024 12:14:06 UTC 2024 年 10 月 3 日 (木) 21 時 14 分 6 秒 (日本時間)

83×10271+529

c268

composite cofactor 合成数の残り
1743594914584856352987639382557328560504844252859075516566252405320695421277739964876015696555664792827312679086104178745788062887057063870192509684304284621912996714478980228053811960640970699202567916172998226995050711302696480038989303150234860134277815590679539859<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e621981792Dmitry DomanovMarch 20, 2023 09:02:26 UTC 2023 年 3 月 20 日 (月) 18 時 2 分 26 秒 (日本時間)
406Thomas KozlowskiOctober 3, 2024 12:17:48 UTC 2024 年 10 月 3 日 (木) 21 時 17 分 48 秒 (日本時間)

83×10272+529

c240

composite cofactor 合成数の残り
126599448370232310582771213796891627546892760973058036634678195333945000839192495673231412673376589632767440133604850428160326516463473333069870783946263481116259364303858062133789200692064493783342407093599109406516192836068846482041611997<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622031792Dmitry DomanovMarch 28, 2023 21:02:11 UTC 2023 年 3 月 29 日 (水) 6 時 2 分 11 秒 (日本時間)
411Thomas KozlowskiOctober 3, 2024 12:21:06 UTC 2024 年 10 月 3 日 (木) 21 時 21 分 6 秒 (日本時間)

83×10276+529

c236

composite cofactor 合成数の残り
34153063501667409645430150370285749486292448550975603681759045299040991649432753902377158807462985867405914113363371056461905251149812062045986600492407862140707450991402835916794057560921928330926594130373653083669052798077752392563943<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622101792Dmitry DomanovMarch 28, 2023 21:02:19 UTC 2023 年 3 月 29 日 (水) 6 時 2 分 19 秒 (日本時間)
418Thomas KozlowskiOctober 3, 2024 12:24:25 UTC 2024 年 10 月 3 日 (木) 21 時 24 分 25 秒 (日本時間)

83×10280+529

c218

composite cofactor 合成数の残り
39838744047830955973909128720727626406112134726162769288227254699483849096431567674264592588381768951377272127503522930306145657973291686591710803491975073390684352276819302158286022505091182804946915214529433494075709<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622071000Dmitry DomanovMarch 24, 2023 23:32:01 UTC 2023 年 3 月 25 日 (土) 8 時 32 分 1 秒 (日本時間)
1207Thomas KozlowskiOctober 3, 2024 12:32:13 UTC 2024 年 10 月 3 日 (木) 21 時 32 分 13 秒 (日本時間)

83×10284+529

c274

composite cofactor 合成数の残り
1724344455752754968643289828822200213610181181085707015542190013908928664104498512887633061861963289817385483533306593185589245486975538877621072329732846629042593285948326564989282103434378036129416687263178587553225896271380627033971925685501410577708068724445969582024989<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e621961792Dmitry DomanovMarch 20, 2023 09:02:33 UTC 2023 年 3 月 20 日 (月) 18 時 2 分 33 秒 (日本時間)
404Thomas KozlowskiOctober 3, 2024 12:36:18 UTC 2024 年 10 月 3 日 (木) 21 時 36 分 18 秒 (日本時間)

83×10285+529

c206

name 名前Dmitry Domanov
date 日付March 27, 2023 04:45:03 UTC 2023 年 3 月 27 日 (月) 13 時 45 分 3 秒 (日本時間)
composite number 合成数
10004883415749112887273146143153183780570443743303614478588066724340875570907758817596684447331747885209922190406178037532455306152963881228840785820817320757874399225820515028288460056990882295125129608527<206>
prime factors 素因数
216223396251053627943676321227049801061<39>
composite cofactor 合成数の残り
46271049244516528200661358341390340054938468222909036824935111706289290397500830389011552299814816858330998268039986808587413899277532694013773646956571877304354195107<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3872594578
Step 1 took 11168ms
********** Factor found in step 1: 216223396251053627943676321227049801061
Found prime factor of 39 digits: 216223396251053627943676321227049801061
Composite cofactor 46271049244516528200661358341390340054938468222909036824935111706289290397500830389011552299814816858330998268039986808587413899277532694013773646956571877304354195107 has 167 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 24, 2023 23:32:09 UTC 2023 年 3 月 25 日 (土) 8 時 32 分 9 秒 (日本時間)
2350Ignacio SantosMarch 31, 2023 09:14:48 UTC 2023 年 3 月 31 日 (金) 18 時 14 分 48 秒 (日本時間)
4511e64480Ignacio SantosMarch 31, 2023 12:21:40 UTC 2023 年 3 月 31 日 (金) 21 時 21 分 40 秒 (日本時間)
5043e61792 / 6415Dmitry DomanovJune 30, 2024 18:23:55 UTC 2024 年 7 月 1 日 (月) 3 時 23 分 55 秒 (日本時間)

83×10286+529

c282

composite cofactor 合成数の残り
412420720812041492505868299653964108465655788697485923037324572125924468374784100237117069845188193040723316379363460915434870321012388522182272070471272660779485100183452686896151468714658525581016323910265201430255184078771363890230498462614806997040508658847567314018130611157819<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622081792Dmitry DomanovMarch 20, 2023 09:02:41 UTC 2023 年 3 月 20 日 (月) 18 時 2 分 41 秒 (日本時間)
416Thomas KozlowskiOctober 3, 2024 12:40:26 UTC 2024 年 10 月 3 日 (木) 21 時 40 分 26 秒 (日本時間)

83×10287+529

c288

composite cofactor 合成数の残り
230555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622071792Dmitry DomanovMarch 20, 2023 09:02:48 UTC 2023 年 3 月 20 日 (月) 18 時 2 分 48 秒 (日本時間)
415Thomas KozlowskiOctober 3, 2024 12:44:37 UTC 2024 年 10 月 3 日 (木) 21 時 44 分 37 秒 (日本時間)

83×10290+529

c273

composite cofactor 合成数の残り
225165132291237481228489850991214481488522510753916109723213718330734293075383276327614554862224116694867330950836925890846354147684646080192098753849324045410916006065319990625911983768584771374109559623234116787751811302822990177758840173763829151532499761238054934839919<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovMarch 20, 2023 09:02:55 UTC 2023 年 3 月 20 日 (月) 18 時 2 分 55 秒 (日本時間)
400Thomas KozlowskiOctober 3, 2024 12:48:42 UTC 2024 年 10 月 3 日 (木) 21 時 48 分 42 秒 (日本時間)

83×10292+529

c275

composite cofactor 合成数の残り
15455593220566237607533990935032121610355994269472511095347082478907449645555622612210615597867701578891146479406070287463025578768935991551927943840684489982154421282720613807406718829171994789743134559065854454946250009360475704590392308830404479276822456139186504275427703<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e621971792Dmitry DomanovMarch 20, 2023 09:03:03 UTC 2023 年 3 月 20 日 (月) 18 時 3 分 3 秒 (日本時間)
405Thomas KozlowskiOctober 3, 2024 12:52:46 UTC 2024 年 10 月 3 日 (木) 21 時 52 分 46 秒 (日本時間)

83×10293+529

c277

composite cofactor 合成数の残り
1221112076894722138794562726771486001653300067308537859543716057038560946095871595792426063924367571501386748439307190697466389151605957513983079800991287809782673515309888586774032292558120690899084581121462800470788805786356375230085244359503225563305244976906115058272151407<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovMarch 20, 2023 09:03:10 UTC 2023 年 3 月 20 日 (月) 18 時 3 分 10 秒 (日本時間)
400Thomas KozlowskiOctober 3, 2024 12:56:51 UTC 2024 年 10 月 3 日 (木) 21 時 56 分 51 秒 (日本時間)

83×10294+529

c229

composite cofactor 合成数の残り
1335418865264878323368638097638386967068560042148878923917799356873375434976486712129384562394529004633005315758121944677895566531051308112664526279170531616008689420143997857339176514607787099515405517304459524901442893066158131<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622071792Dmitry DomanovMarch 26, 2023 22:21:33 UTC 2023 年 3 月 27 日 (月) 7 時 21 分 33 秒 (日本時間)
415Thomas KozlowskiOctober 3, 2024 12:59:46 UTC 2024 年 10 月 3 日 (木) 21 時 59 分 46 秒 (日本時間)

83×10297+529

c257

composite cofactor 合成数の残り
18311424678739232280746537179550331957189638740268929977125931620077080061058199082166487847742183010767680719477661804375786374585999432989798186732483932374993597537678429171941524041953312368239491797163347868888496383362673028917452706436341150989098569<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62202Thomas KozlowskiOctober 3, 2024 13:17:31 UTC 2024 年 10 月 3 日 (木) 22 時 17 分 31 秒 (日本時間)

83×10298+529

c158

composite cofactor 合成数の残り
38250466743171467121355486887022320641626646266478866062760188078963957533235656170069179562091875634205972749841176201464646926494229866364699943879563095929<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 1, 2023 09:20:38 UTC 2023 年 3 月 1 日 (水) 18 時 20 分 38 秒 (日本時間)
4511e64480Ignacio SantosMarch 7, 2023 14:12:30 UTC 2023 年 3 月 7 日 (火) 23 時 12 分 30 秒 (日本時間)

83×10299+529

c275

composite cofactor 合成数の残り
47382648382667469686919820134205139528210790917833029061239855136243424023490055993583642194952024714659970689798527756625120796819423846833076479554374277381439395276349623484083231192432315513052036323240120925362944051276009795960576136901059745182575634176966025403577631<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e622071792Dmitry DomanovMarch 20, 2023 09:03:18 UTC 2023 年 3 月 20 日 (月) 18 時 3 分 18 秒 (日本時間)
415Thomas KozlowskiOctober 3, 2024 13:21:37 UTC 2024 年 10 月 3 日 (木) 22 時 21 分 37 秒 (日本時間)