Table of contents 目次

29×10123+43

c124

name 名前Bob Backstrom
date 日付February 22, 2023 07:57:16 UTC 2023 年 2 月 22 日 (水) 16 時 57 分 16 秒 (日本時間)
composite number 合成数
2416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<124>
prime factors 素因数
71143220440656747405988349662315534836037<41>
33969036707896851428009833575144476603960857405512977557373174414878268557073842991<83>
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 2416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667 (124 digits)
Using B1=41950000, B2=192395152966, polynomial Dickson(12), sigma=1:1753957345
Step 1 took 65289ms
********** Factor found in step 1: 71143220440656747405988349662315534836037
Found prime factor of 41 digits: 71143220440656747405988349662315534836037
Prime cofactor 33969036707896851428009833575144476603960857405512977557373174414878268557073842991 has 83 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)

29×10134+43

c130

name 名前Bob Backstrom
date 日付February 24, 2023 05:50:12 UTC 2023 年 2 月 24 日 (金) 14 時 50 分 12 秒 (日本時間)
composite number 合成数
3334299130322806146148079673652598223853346026665194976016041428091815100465882071588552086351448925435873379415646831036116208373<130>
prime factors 素因数
5175701021148290582930228024887338031567378536034441944926394179<64>
644221742465149655409663856905378270770972663835431298912751101287<66>
factorization results 素因数分解の結果
Number: n
N=3334299130322806146148079673652598223853346026665194976016041428091815100465882071588552086351448925435873379415646831036116208373  ( 130 digits)
SNFS difficulty: 134 digits.
Divisors found:

Fri Feb 24 16:27:56 2023  prp64 factor: 5175701021148290582930228024887338031567378536034441944926394179
Fri Feb 24 16:27:56 2023  prp66 factor: 644221742465149655409663856905378270770972663835431298912751101287
Fri Feb 24 16:27:56 2023  elapsed time 00:04:10 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 29x10^134+4 = 96(133)8
#
n: 3334299130322806146148079673652598223853346026665194976016041428091815100465882071588552086351448925435873379415646831036116208373
m: 1000000000000000000000000000000000
deg: 4
c4: 725
c0: 1
skew: 0.19
# Murphy_E = 8.157e-09
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 11820000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 799281 hash collisions in 8662017 relations (8757279 unique)
Msieve: matrix is 337277 x 337519 (40.6 MB)

Sieving start time: 2023/02/24 15:56:49
Sieving end time  : 2023/02/24 16:23:38

Total sieving time: 0hrs 26min 49secs.

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

Prototype def-par.txt line would be:
snfs,134,4,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,100000
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)

29×10135+43

c134

name 名前Bob Backstrom
date 日付February 22, 2023 11:45:10 UTC 2023 年 2 月 22 日 (水) 20 時 45 分 10 秒 (日本時間)
composite number 合成数
12652705061082024432809773123909249563699825479930191972076788830715532286212914485165794066317626527050610820244328097731239092495637<134>
prime factors 素因数
6632498000630417020442305599037428008689135412239<49>
1907683207726468740593217330992670106126727841493224947746872354526338393748314288283<85>
factorization results 素因数分解の結果
Number: n
N=12652705061082024432809773123909249563699825479930191972076788830715532286212914485165794066317626527050610820244328097731239092495637  ( 134 digits)
SNFS difficulty: 136 digits.
Divisors found:

Wed Feb 22 22:42:07 2023  prp49 factor: 6632498000630417020442305599037428008689135412239
Wed Feb 22 22:42:07 2023  prp85 factor: 1907683207726468740593217330992670106126727841493224947746872354526338393748314288283
Wed Feb 22 22:42:07 2023  elapsed time 00:03:09 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.081).
Factorization parameters were as follows:
#
# N = 29x10^135+4 = 96(134)8
#
n: 12652705061082024432809773123909249563699825479930191972076788830715532286212914485165794066317626527050610820244328097731239092495637
m: 1000000000000000000000000000
deg: 5
c5: 29
c0: 4
skew: 0.67
# Murphy_E = 6.923e-09
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 57660000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 377149 hash collisions in 6733108 relations (6847498 unique)
Msieve: matrix is 240097 x 240345 (55.6 MB)

Sieving start time: 2023/02/22 20:39:51
Sieving end time  : 2023/02/22 22:38:13

Total sieving time: 1hrs 58min 22secs.

Total relation processing time: 0hrs 1min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 10sec.

Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,75000
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)

29×10136+43

c125

name 名前Bob Backstrom
date 日付February 24, 2023 06:33:18 UTC 2023 年 2 月 24 日 (金) 15 時 33 分 18 秒 (日本時間)
composite number 合成数
38251509972682945123275754576973258846599187308949787533051697175800888715156610032947943881715337560203780824241399629141923<125>
prime factors 素因数
34188188674894784428087112257512439969134585287<47>
1118851610900695537810685929927665818882527488800826023407636694004980877397829<79>
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 38251509972682945123275754576973258846599187308949787533051697175800888715156610032947943881715337560203780824241399629141923 (125 digits)
Using B1=37350000, B2=192391008826, polynomial Dickson(12), sigma=1:2532278218
Step 1 took 58586ms
Step 2 took 22831ms
********** Factor found in step 2: 34188188674894784428087112257512439969134585287
Found prime factor of 47 digits: 34188188674894784428087112257512439969134585287
Prime cofactor 1118851610900695537810685929927665818882527488800826023407636694004980877397829 has 79 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)

29×10141+43

c124

name 名前Bob Backstrom
date 日付February 26, 2023 18:27:17 UTC 2023 年 2 月 27 日 (月) 3 時 27 分 17 秒 (日本時間)
composite number 合成数
1388730834369239352247886421553023698411632139962111304935649731614813166300169490817613989615933954818924084867397976853583<124>
prime factors 素因数
51386815565170759217969056126623933599716283<44>
27025041717325271219278264312832899333633327169709315530525602505916211657023101<80>
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 1388730834369239352247886421553023698411632139962111304935649731614813166300169490817613989615933954818924084867397976853583 (124 digits)
Using B1=38020000, B2=192391699516, polynomial Dickson(12), sigma=1:3425254135
Step 1 took 59435ms
Step 2 took 22810ms
********** Factor found in step 2: 51386815565170759217969056126623933599716283
Found prime factor of 44 digits: 51386815565170759217969056126623933599716283
Prime cofactor 27025041717325271219278264312832899333633327169709315530525602505916211657023101 has 80 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)

29×10144+43

c130

name 名前Bob Backstrom
date 日付February 24, 2023 05:52:41 UTC 2023 年 2 月 24 日 (金) 14 時 52 分 41 秒 (日本時間)
composite number 合成数
4224465483812734051824932318074144989593330502255058109694724272545604936429564797279293464715908564330523375670385866323358222263<130>
prime factors 素因数
28915221288184075531998521274240149562147060571<47>
146098327995124867341638974838921552266698985433180278651350149680376493303059972053<84>
factorization results 素因数分解の結果
Number: n
N=4224465483812734051824932318074144989593330502255058109694724272545604936429564797279293464715908564330523375670385866323358222263  ( 130 digits)
SNFS difficulty: 145 digits.
Divisors found:

Fri Feb 24 15:49:54 2023  prp47 factor: 28915221288184075531998521274240149562147060571
Fri Feb 24 15:49:54 2023  prp84 factor: 146098327995124867341638974838921552266698985433180278651350149680376493303059972053
Fri Feb 24 15:49:54 2023  elapsed time 00:05:34 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
#
# N = 29x10^144+4 = 96(143)8
#
n: 4224465483812734051824932318074144989593330502255058109694724272545604936429564797279293464715908564330523375670385866323358222263
m: 50000000000000000000000000000
deg: 5
c5: 116
c0: 5
skew: 0.53
# Murphy_E = 2.59e-09
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1870000/1870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 69735000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 774917 hash collisions in 6780110 relations (6417850 unique)
Msieve: matrix is 380525 x 380750 (106.4 MB)

Sieving start time: 2023/02/24 12:29:07
Sieving end time  : 2023/02/24 15:43:55

Total sieving time: 3hrs 14min 48secs.

Total relation processing time: 0hrs 3min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 38sec.

Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1870000,1870000,26,26,49,49,2.3,2.3,100000
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)

29×10145+43

c128

name 名前Bob Backstrom
date 日付February 25, 2023 18:30:33 UTC 2023 年 2 月 26 日 (日) 3 時 30 分 33 秒 (日本時間)
composite number 合成数
18236487493713644960466726731489291209319308929710572441040383684495696974143389801060503174831954484390751191547429167632524609<128>
prime factors 素因数
7782250386281124671202046574373278666531466105788804531<55>
2343343710176902708361388494212575516362361989840832265453157515050970939<73>
factorization results 素因数分解の結果
Number: n
N=18236487493713644960466726731489291209319308929710572441040383684495696974143389801060503174831954484390751191547429167632524609  ( 128 digits)
SNFS difficulty: 146 digits.
Divisors found:

Sun Feb 26 05:27:23 2023  prp55 factor: 7782250386281124671202046574373278666531466105788804531
Sun Feb 26 05:27:23 2023  prp73 factor: 2343343710176902708361388494212575516362361989840832265453157515050970939
Sun Feb 26 05:27:23 2023  elapsed time 00:05:21 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 29x10^145+4 = 96(144)8
#
n: 18236487493713644960466726731489291209319308929710572441040383684495696974143389801060503174831954484390751191547429167632524609
m: 100000000000000000000000000000
deg: 5
c5: 29
c0: 4
skew: 0.67
# Murphy_E = 2.944e-09
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 69765000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 720962 hash collisions in 6665751 relations (6356984 unique)
Msieve: matrix is 365751 x 365976 (101.2 MB)

Sieving start time: 2023/02/26 02:43:51
Sieving end time  : 2023/02/26 05:21:31

Total sieving time: 2hrs 37min 40secs.

Total relation processing time: 0hrs 3min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 37sec.

Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
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)

29×10147+43

c130

name 名前Bob Backstrom
date 日付February 24, 2023 01:30:44 UTC 2023 年 2 月 24 日 (金) 10 時 30 分 44 秒 (日本時間)
composite number 合成数
2237656891763937270006122915681313872337013246361904861303247654430620511910854574200311076757602750284817270986816518042143740189<130>
prime factors 素因数
3305827243559765482206560172418643543222566550479823<52>
676882585477876940331354134913141526910357406044327363686147322397881030818643<78>
factorization results 素因数分解の結果
Number: n
N=2237656891763937270006122915681313872337013246361904861303247654430620511910854574200311076757602750284817270986816518042143740189  ( 130 digits)
SNFS difficulty: 147 digits.
Divisors found:

Fri Feb 24 12:26:49 2023  prp52 factor: 3305827243559765482206560172418643543222566550479823
Fri Feb 24 12:26:49 2023  prp78 factor: 676882585477876940331354134913141526910357406044327363686147322397881030818643
Fri Feb 24 12:26:49 2023  elapsed time 00:05:12 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.036).
Factorization parameters were as follows:
#
# N = 29x10^147+4 = 96(146)8
#
n: 2237656891763937270006122915681313872337013246361904861303247654430620511910854574200311076757602750284817270986816518042143740189
m: 100000000000000000000000000000
deg: 5
c5: 725
c0: 1
skew: 0.27
# Murphy_E = 2.114e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 12200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 631059 hash collisions in 7159250 relations (7008488 unique)
Msieve: matrix is 344375 x 344600 (94.5 MB)

Sieving start time: 2023/02/24 11:47:05
Sieving end time  : 2023/02/24 12:21:30

Total sieving time: 0hrs 34min 25secs.

Total relation processing time: 0hrs 3min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
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)

29×10149+43

c137

name 名前Bob Backstrom
date 日付February 25, 2023 03:19:16 UTC 2023 年 2 月 25 日 (土) 12 時 19 分 16 秒 (日本時間)
composite number 合成数
44708218682899342769932565585156119401881846596796382305050133125115862017374393930944054136438139270389903963428146624588741394403013263<137>
prime factors 素因数
126871618850898732884870149276443802845526974343409673706441<60>
352389439717333903887343915017192143417192313401036007623440491075488266344343<78>
factorization results 素因数分解の結果
Number: n
N=44708218682899342769932565585156119401881846596796382305050133125115862017374393930944054136438139270389903963428146624588741394403013263  ( 137 digits)
SNFS difficulty: 150 digits.
Divisors found:

Sat Feb 25 14:14:35 2023  prp60 factor: 126871618850898732884870149276443802845526974343409673706441
Sat Feb 25 14:14:35 2023  prp78 factor: 352389439717333903887343915017192143417192313401036007623440491075488266344343
Sat Feb 25 14:14:35 2023  elapsed time 00:07:02 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 29x10^149+4 = 96(148)8
#
n: 44708218682899342769932565585156119401881846596796382305050133125115862017374393930944054136438139270389903963428146624588741394403013263
m: 500000000000000000000000000000
deg: 5
c5: 116
c0: 5
skew: 0.53
# Murphy_E = 1.678e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 12350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1070875 hash collisions in 13910339 relations (13783152 unique)
Msieve: matrix is 442903 x 443148 (63.0 MB)

Sieving start time: 2023/02/25 12:54:03
Sieving end time  : 2023/02/25 14:07:13

Total sieving time: 1hrs 13min 10secs.

Total relation processing time: 0hrs 3min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 16sec.

Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
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)

29×10150+43

c130

name 名前Bob Backstrom
date 日付February 26, 2023 19:51:35 UTC 2023 年 2 月 27 日 (月) 4 時 51 分 35 秒 (日本時間)
composite number 合成数
1206915080730850438465816702836364248864068020121693837700468318528718896918319487772635826652247037010010600375397016060025029799<130>
prime factors 素因数
3534929215578265857044494859557412762453<40>
341425529940467481688433592736921059836429005742389172745487217853751136859880782774505483<90>
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 1206915080730850438465816702836364248864068020121693837700468318528718896918319487772635826652247037010010600375397016060025029799 (130 digits)
Using B1=38410000, B2=192391699516, polynomial Dickson(12), sigma=1:3286360892
Step 1 took 59836ms
Step 2 took 23734ms
********** Factor found in step 2: 3534929215578265857044494859557412762453
Found prime factor of 40 digits: 3534929215578265857044494859557412762453
Prime cofactor 341425529940467481688433592736921059836429005742389172745487217853751136859880782774505483 has 90 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)

29×10152+43

c142

name 名前Bob Backstrom
date 日付March 1, 2023 22:48:06 UTC 2023 年 3 月 2 日 (木) 7 時 48 分 6 秒 (日本時間)
composite number 合成数
6362791310439856912145861759927933011289873253501369106647482246356634686907796398830197019208626571019125968224877520275174338540815889201413<142>
prime factors 素因数
314529925494179859664668165823266202529848723870233737<54>
20229526015506577266757901145552699689713563737581704825598789527372502535667582135105949<89>
factorization results 素因数分解の結果
Number: n
N=6362791310439856912145861759927933011289873253501369106647482246356634686907796398830197019208626571019125968224877520275174338540815889201413  ( 142 digits)
SNFS difficulty: 152 digits.
Divisors found:

Thu Mar  2 09:44:31 2023  prp54 factor: 314529925494179859664668165823266202529848723870233737
Thu Mar  2 09:44:31 2023  prp89 factor: 20229526015506577266757901145552699689713563737581704825598789527372502535667582135105949
Thu Mar  2 09:44:31 2023  elapsed time 00:05:49 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 29x10^152+4 = 96(151)8
#
n: 6362791310439856912145861759927933011289873253501369106647482246356634686907796398830197019208626571019125968224877520275174338540815889201413
m: 1000000000000000000000000000000
deg: 5
c5: 725
c0: 1
skew: 0.27
# Murphy_E = 1.366e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 12450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 779805 hash collisions in 11794709 relations (11813314 unique)
Msieve: matrix is 357170 x 357418 (98.9 MB)

Sieving start time: 2023/03/02 08:28:36
Sieving end time  : 2023/03/02 09:38:28

Total sieving time: 1hrs 9min 52secs.

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

Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
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)

29×10153+43

c142

name 名前Bob Backstrom
date 日付March 1, 2023 21:51:59 UTC 2023 年 3 月 2 日 (木) 6 時 51 分 59 秒 (日本時間)
composite number 合成数
1516348643088843130514243848809499740125156824119667983382890235783772269901432748375020765431079826907957025994276936864945636060759679774091<142>
prime factors 素因数
197904145552341938562333480097133650400081659066302738079<57>
7662035774221805397995186871275956768812699808695387001447140771607220973577541326229<85>
factorization results 素因数分解の結果
Number: n
N=1516348643088843130514243848809499740125156824119667983382890235783772269901432748375020765431079826907957025994276936864945636060759679774091  ( 142 digits)
SNFS difficulty: 153 digits.
Divisors found:

Thu Mar  2 08:19:38 2023  prp57 factor: 197904145552341938562333480097133650400081659066302738079
Thu Mar  2 08:19:38 2023  prp85 factor: 7662035774221805397995186871275956768812699808695387001447140771607220973577541326229
Thu Mar  2 08:19:38 2023  elapsed time 00:06:41 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.024).
Factorization parameters were as follows:
#
# N = 29x10^153+4 = 96(152)8
#
n: 1516348643088843130514243848809499740125156824119667983382890235783772269901432748375020765431079826907957025994276936864945636060759679774091
m: 1000000000000000000000000000000
deg: 5
c5: 7250
c0: 1
skew: 0.17
# Murphy_E = 1.127e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 12500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 971641 hash collisions in 12827351 relations (12715784 unique)
Msieve: matrix is 372100 x 372334 (101.8 MB)

Sieving start time: 2023/03/02 07:09:17
Sieving end time  : 2023/03/02 08:12:48

Total sieving time: 1hrs 3min 31secs.

Total relation processing time: 0hrs 3min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 41sec.

Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
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)

29×10156+43

c124

name 名前Bob Backstrom
date 日付March 7, 2023 10:22:17 UTC 2023 年 3 月 7 日 (火) 19 時 22 分 17 秒 (日本時間)
composite number 合成数
5830474250945930736515990439092723016713450031319012574853097016553377581606660319497107983959405747382576526474087652076711<124>
prime factors 素因数
28680122958169568481151372786649702008519272979<47>
203293209706589243825572324998050778076015013536499983988547015895657036318109<78>
factorization results 素因数分解の結果
Number: n
N=5830474250945930736515990439092723016713450031319012574853097016553377581606660319497107983959405747382576526474087652076711  ( 124 digits)
SNFS difficulty: 157 digits.
Divisors found:

Tue Mar  7 20:12:41 2023  prp47 factor: 28680122958169568481151372786649702008519272979
Tue Mar  7 20:12:41 2023  prp78 factor: 203293209706589243825572324998050778076015013536499983988547015895657036318109
Tue Mar  7 20:12:41 2023  elapsed time 00:06:03 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 29x10^156+4 = 96(155)8
#
n: 5830474250945930736515990439092723016713450031319012574853097016553377581606660319497107983959405747382576526474087652076711
m: 10000000000000000000000000000000
deg: 5
c5: 145
c0: 2
skew: 0.42
# Murphy_E = 1.043e-09
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 5450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1354847 hash collisions in 14574802 relations (14173004 unique)
Msieve: matrix is 348192 x 348424 (95.8 MB)

Sieving start time: 2023/03/07 19:34:38
Sieving end time  : 2023/03/07 20:06:23

Total sieving time: 0hrs 31min 45secs.

Total relation processing time: 0hrs 3min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 17sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
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)

29×10159+43

c116

name 名前Bob Backstrom
date 日付March 10, 2023 04:36:01 UTC 2023 年 3 月 10 日 (金) 13 時 36 分 1 秒 (日本時間)
composite number 合成数
35977868896515097055916896740852057011827118675482508852519548355799227304077150476482973562530997637035166885085701<116>
prime factors 素因数
2562526694181697441799314286655810809045669<43>
14039997701566993077604178768843458890409366392855262049696124493326197729<74>
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 35977868896515097055916896740852057011827118675482508852519548355799227304077150476482973562530997637035166885085701 (116 digits)
Using B1=30890000, B2=144289975846, polynomial Dickson(12), sigma=1:3063904336
Step 1 took 43545ms
********** Factor found in step 1: 2562526694181697441799314286655810809045669
Found prime factor of 43 digits: 2562526694181697441799314286655810809045669
Prime cofactor 14039997701566993077604178768843458890409366392855262049696124493326197729 has 74 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)

29×10160+43

c122

name 名前Bob Backstrom
date 日付March 7, 2023 10:23:36 UTC 2023 年 3 月 7 日 (火) 19 時 23 分 36 秒 (日本時間)
composite number 合成数
10589898646065673203576670136154566906347913627233673994861334289716689567264938665053195823262180460855948009952637538649<122>
prime factors 素因数
1888908686697007372343461475008560971522221922303<49>
5606358168950682790083826572492406179439922709958144181207204862156412583<73>
factorization results 素因数分解の結果
Number: n
N=10589898646065673203576670136154566906347913627233673994861334289716689567264938665053195823262180460855948009952637538649  ( 122 digits)
SNFS difficulty: 161 digits.
Divisors found:

Tue Mar  7 21:15:23 2023  prp49 factor: 1888908686697007372343461475008560971522221922303
Tue Mar  7 21:15:23 2023  prp73 factor: 5606358168950682790083826572492406179439922709958144181207204862156412583
Tue Mar  7 21:15:23 2023  elapsed time 00:08:16 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
#
# N = 29x10^160+4 = 96(159)8
#
n: 10589898646065673203576670136154566906347913627233673994861334289716689567264938665053195823262180460855948009952637538649
m: 100000000000000000000000000000000
deg: 5
c5: 29
c0: 4
skew: 0.67
# Murphy_E = 7.851e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 5700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1277624 hash collisions in 13903881 relations (13527705 unique)
Msieve: matrix is 392008 x 392236 (110.3 MB)

Sieving start time: 2023/03/07 20:14:35
Sieving end time  : 2023/03/07 21:06:41

Total sieving time: 0hrs 52min 6secs.

Total relation processing time: 0hrs 4min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 41sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

29×10170+43

c159

name 名前Bob Backstrom
date 日付March 12, 2023 01:11:29 UTC 2023 年 3 月 12 日 (日) 10 時 11 分 29 秒 (日本時間)
composite number 合成数
422265459399830125093962752682680575234840822447269855976145962177252905032920614761353340011362128769870310665997655699039677732457358651354868554413632529923<159>
prime factors 素因数
607882548140357974102369269138725061865477117759255687<54>
694649748856304546571342334870122816543216616027362116091035580631355104612587030122437307097483608645029<105>
factorization results 素因数分解の結果
Number: n
N=422265459399830125093962752682680575234840822447269855976145962177252905032920614761353340011362128769870310665997655699039677732457358651354868554413632529923  ( 159 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sun Mar 12 12:02:35 2023  prp54 factor: 607882548140357974102369269138725061865477117759255687
Sun Mar 12 12:02:35 2023  prp105 factor: 694649748856304546571342334870122816543216616027362116091035580631355104612587030122437307097483608645029
Sun Mar 12 12:02:35 2023  elapsed time 00:14:11 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
#
# N = 29x10^170+4 = 96(169)8
#
n: 422265459399830125093962752682680575234840822447269855976145962177252905032920614761353340011362128769870310665997655699039677732457358651354868554413632529923
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: 4
skew: 0.67
# Murphy_E = 3.174e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 6500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1562420 hash collisions in 14614161 relations (13956251 unique)
Msieve: matrix is 613541 x 613766 (172.3 MB)

Sieving start time: 2023/03/12 10:47:32
Sieving end time  : 2023/03/12 11:48:09

Total sieving time: 1hrs 0min 37secs.

Total relation processing time: 0hrs 10min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

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

ECM

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

29×10172+43

c140

name 名前Ignacio Santos
date 日付April 16, 2023 14:24:40 UTC 2023 年 4 月 16 日 (日) 23 時 24 分 40 秒 (日本時間)
composite number 合成数
51287425946868219141854130327559392319087817858247171144553019428903212131311181502591099028423663561670282837037402026801271790586733777679<140>
prime factors 素因数
8153591506238836768818620244544744567663372661725542205915045250173<67>
6290163777229324535891306773916035421142679134427211473614776252028716923<73>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=2650000, q1=2750000.
->               client 1 q0: 2650000
      LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 97
        LatSieveTime: 98
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        LatSieveTime: 116
-> makeJobFile(): Adjusted to q0=2750001, q1=2850000.
->               client 1 q0: 2750001
      LatSieveTime: 92
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
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-> makeJobFile(): Adjusted to q0=2850001, q1=2950000.
->               client 1 q0: 2850001
      LatSieveTime: 94
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 100
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-> makeJobFile(): Adjusted to q0=2950001, q1=3050000.
->               client 1 q0: 2950001
      LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
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        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
-> makeJobFile(): Adjusted to q0=3050001, q1=3150000.
->               client 1 q0: 3050001
      LatSieveTime: 91
        LatSieveTime: 95
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 118
-> makeJobFile(): Adjusted to q0=3150001, q1=3250000.
->               client 1 q0: 3150001
      LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
-> makeJobFile(): Adjusted to q0=3250001, q1=3350000.
->               client 1 q0: 3250001
      LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 98
        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: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
-> makeJobFile(): Adjusted to q0=3350001, q1=3450000.
->               client 1 q0: 3350001
      LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
-> makeJobFile(): Adjusted to q0=3450001, q1=3550000.
->               client 1 q0: 3450001
      LatSieveTime: 94
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        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: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 116
-> makeJobFile(): Adjusted to q0=3550001, q1=3650000.
->               client 1 q0: 3550001
      LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 116
-> makeJobFile(): Adjusted to q0=3650001, q1=3750000.
->               client 1 q0: 3650001
      LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 122
-> makeJobFile(): Adjusted to q0=3750001, q1=3850000.
->               client 1 q0: 3750001
      LatSieveTime: 92
        LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 105
        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: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 120
-> makeJobFile(): Adjusted to q0=3850001, q1=3950000.
->               client 1 q0: 3850001
      LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 118
-> makeJobFile(): Adjusted to q0=3950001, q1=4050000.
->               client 1 q0: 3950001
      LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
-> makeJobFile(): Adjusted to q0=4050001, q1=4150000.
->               client 1 q0: 4050001
      LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        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: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
-> makeJobFile(): Adjusted to q0=4150001, q1=4250000.
->               client 1 q0: 4150001
      LatSieveTime: 95
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 121
-> makeJobFile(): Adjusted to q0=4250001, q1=4350000.
->               client 1 q0: 4250001
      LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 120
-> makeJobFile(): Adjusted to q0=4350001, q1=4450000.
->               client 1 q0: 4350001
      LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 132
-> makeJobFile(): Adjusted to q0=4450001, q1=4550000.
->               client 1 q0: 4450001
      LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 120
-> makeJobFile(): Adjusted to q0=4550001, q1=4650000.
->               client 1 q0: 4550001
      LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
-> makeJobFile(): Adjusted to q0=4650001, q1=4750000.
->               client 1 q0: 4650001
      LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 122
-> makeJobFile(): Adjusted to q0=4750001, q1=4850000.
->               client 1 q0: 4750001
      LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 103
        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: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 121
-> makeJobFile(): Adjusted to q0=4850001, q1=4950000.
->               client 1 q0: 4850001
      LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
-> makeJobFile(): Adjusted to q0=4950001, q1=5050000.
->               client 1 q0: 4950001
      LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
Sun Apr 16 16:07:52 2023  
Sun Apr 16 16:07:52 2023  
Sun Apr 16 16:07:52 2023  Msieve v. 1.52 (SVN 927)
Sun Apr 16 16:07:52 2023  random seeds: 8d63ca0c 53903b76
Sun Apr 16 16:07:52 2023  factoring 51287425946868219141854130327559392319087817858247171144553019428903212131311181502591099028423663561670282837037402026801271790586733777679 (140 digits)
Sun Apr 16 16:07:53 2023  searching for 15-digit factors
Sun Apr 16 16:07:53 2023  commencing number field sieve (140-digit input)
Sun Apr 16 16:07:53 2023  R0: -10000000000000000000000000000000000
Sun Apr 16 16:07:53 2023  R1: 1
Sun Apr 16 16:07:53 2023  A0: 1
Sun Apr 16 16:07:53 2023  A1: 0
Sun Apr 16 16:07:53 2023  A2: 0
Sun Apr 16 16:07:53 2023  A3: 0
Sun Apr 16 16:07:53 2023  A4: 0
Sun Apr 16 16:07:53 2023  A5: 725
Sun Apr 16 16:07:53 2023  skew 0.27, size 5.497e-012, alpha -0.092, combined = 2.268e-010 rroots = 1
Sun Apr 16 16:07:53 2023  
Sun Apr 16 16:07:53 2023  commencing relation filtering
Sun Apr 16 16:07:53 2023  estimated available RAM is 65413.5 MB
Sun Apr 16 16:07:53 2023  commencing duplicate removal, pass 1
Sun Apr 16 16:08:10 2023  found 1042806 hash collisions in 10164707 relations
Sun Apr 16 16:08:18 2023  added 370850 free relations
Sun Apr 16 16:08:18 2023  commencing duplicate removal, pass 2
Sun Apr 16 16:08:22 2023  found 803586 duplicates and 9731971 unique relations
Sun Apr 16 16:08:22 2023  memory use: 49.3 MB
Sun Apr 16 16:08:22 2023  reading ideals above 100000
Sun Apr 16 16:08:22 2023  commencing singleton removal, initial pass
Sun Apr 16 16:08:58 2023  memory use: 344.5 MB
Sun Apr 16 16:08:58 2023  reading all ideals from disk
Sun Apr 16 16:08:58 2023  memory use: 353.1 MB
Sun Apr 16 16:08:59 2023  keeping 10959139 ideals with weight <= 200, target excess is 49786
Sun Apr 16 16:08:59 2023  commencing in-memory singleton removal
Sun Apr 16 16:09:00 2023  begin with 9731971 relations and 10959139 unique ideals
Sun Apr 16 16:09:05 2023  reduce to 3705419 relations and 3660214 ideals in 20 passes
Sun Apr 16 16:09:05 2023  max relations containing the same ideal: 107
Sun Apr 16 16:09:05 2023  filtering wants 1000000 more relations
Sun Apr 16 16:09:05 2023  elapsed time 00:01:13
-> makeJobFile(): Adjusted to q0=5050001, q1=5150000.
->               client 1 q0: 5050001
     LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
Sun Apr 16 16:11:09 2023  
Sun Apr 16 16:11:09 2023  
Sun Apr 16 16:11:09 2023  Msieve v. 1.52 (SVN 927)
Sun Apr 16 16:11:09 2023  random seeds: a1f994a0 31404f78
Sun Apr 16 16:11:09 2023  factoring 51287425946868219141854130327559392319087817858247171144553019428903212131311181502591099028423663561670282837037402026801271790586733777679 (140 digits)
Sun Apr 16 16:11:09 2023  searching for 15-digit factors
Sun Apr 16 16:11:09 2023  commencing number field sieve (140-digit input)
Sun Apr 16 16:11:09 2023  R0: -10000000000000000000000000000000000
Sun Apr 16 16:11:09 2023  R1: 1
Sun Apr 16 16:11:09 2023  A0: 1
Sun Apr 16 16:11:09 2023  A1: 0
Sun Apr 16 16:11:09 2023  A2: 0
Sun Apr 16 16:11:09 2023  A3: 0
Sun Apr 16 16:11:09 2023  A4: 0
Sun Apr 16 16:11:09 2023  A5: 725
Sun Apr 16 16:11:09 2023  skew 0.27, size 5.497e-012, alpha -0.092, combined = 2.268e-010 rroots = 1
Sun Apr 16 16:11:09 2023  
Sun Apr 16 16:11:09 2023  commencing relation filtering
Sun Apr 16 16:11:09 2023  estimated available RAM is 65413.5 MB
Sun Apr 16 16:11:09 2023  commencing duplicate removal, pass 1
Sun Apr 16 16:11:31 2023  found 1138118 hash collisions in 10941610 relations
Sun Apr 16 16:11:38 2023  added 855 free relations
Sun Apr 16 16:11:38 2023  commencing duplicate removal, pass 2
Sun Apr 16 16:11:41 2023  found 860512 duplicates and 10081953 unique relations
Sun Apr 16 16:11:41 2023  memory use: 49.3 MB
Sun Apr 16 16:11:41 2023  reading ideals above 720000
Sun Apr 16 16:11:42 2023  commencing singleton removal, initial pass
Sun Apr 16 16:12:15 2023  memory use: 344.5 MB
Sun Apr 16 16:12:15 2023  reading all ideals from disk
Sun Apr 16 16:12:15 2023  memory use: 295.2 MB
Sun Apr 16 16:12:15 2023  commencing in-memory singleton removal
Sun Apr 16 16:12:16 2023  begin with 10081953 relations and 11028375 unique ideals
Sun Apr 16 16:12:22 2023  reduce to 4189014 relations and 3939978 ideals in 23 passes
Sun Apr 16 16:12:22 2023  max relations containing the same ideal: 68
Sun Apr 16 16:12:23 2023  removing 512364 relations and 455388 ideals in 56976 cliques
Sun Apr 16 16:12:23 2023  commencing in-memory singleton removal
Sun Apr 16 16:12:23 2023  begin with 3676650 relations and 3939978 unique ideals
Sun Apr 16 16:12:24 2023  reduce to 3619723 relations and 3426572 ideals in 10 passes
Sun Apr 16 16:12:24 2023  max relations containing the same ideal: 63
Sun Apr 16 16:12:25 2023  removing 383679 relations and 326703 ideals in 56976 cliques
Sun Apr 16 16:12:25 2023  commencing in-memory singleton removal
Sun Apr 16 16:12:25 2023  begin with 3236044 relations and 3426572 unique ideals
Sun Apr 16 16:12:25 2023  reduce to 3200173 relations and 3063409 ideals in 9 passes
Sun Apr 16 16:12:25 2023  max relations containing the same ideal: 58
Sun Apr 16 16:12:26 2023  relations with 0 large ideals: 2972
Sun Apr 16 16:12:26 2023  relations with 1 large ideals: 2353
Sun Apr 16 16:12:26 2023  relations with 2 large ideals: 32927
Sun Apr 16 16:12:26 2023  relations with 3 large ideals: 185216
Sun Apr 16 16:12:26 2023  relations with 4 large ideals: 545284
Sun Apr 16 16:12:26 2023  relations with 5 large ideals: 903676
Sun Apr 16 16:12:26 2023  relations with 6 large ideals: 890108
Sun Apr 16 16:12:26 2023  relations with 7+ large ideals: 637637
Sun Apr 16 16:12:26 2023  commencing 2-way merge
Sun Apr 16 16:12:28 2023  reduce to 1873606 relation sets and 1736841 unique ideals
Sun Apr 16 16:12:28 2023  commencing full merge
Sun Apr 16 16:12:47 2023  memory use: 198.3 MB
Sun Apr 16 16:12:48 2023  found 929138 cycles, need 911041
Sun Apr 16 16:12:48 2023  weight of 911041 cycles is about 63778730 (70.01/cycle)
Sun Apr 16 16:12:48 2023  distribution of cycle lengths:
Sun Apr 16 16:12:48 2023  1 relations: 116380
Sun Apr 16 16:12:48 2023  2 relations: 105485
Sun Apr 16 16:12:48 2023  3 relations: 101219
Sun Apr 16 16:12:48 2023  4 relations: 91100
Sun Apr 16 16:12:48 2023  5 relations: 82269
Sun Apr 16 16:12:48 2023  6 relations: 69355
Sun Apr 16 16:12:48 2023  7 relations: 61761
Sun Apr 16 16:12:48 2023  8 relations: 53209
Sun Apr 16 16:12:48 2023  9 relations: 45499
Sun Apr 16 16:12:48 2023  10+ relations: 184764
Sun Apr 16 16:12:48 2023  heaviest cycle: 22 relations
Sun Apr 16 16:12:48 2023  commencing cycle optimization
Sun Apr 16 16:12:49 2023  start with 5463323 relations
Sun Apr 16 16:12:55 2023  pruned 121933 relations
Sun Apr 16 16:12:55 2023  memory use: 182.0 MB
Sun Apr 16 16:12:55 2023  distribution of cycle lengths:
Sun Apr 16 16:12:55 2023  1 relations: 116380
Sun Apr 16 16:12:55 2023  2 relations: 107724
Sun Apr 16 16:12:55 2023  3 relations: 104467
Sun Apr 16 16:12:55 2023  4 relations: 93054
Sun Apr 16 16:12:55 2023  5 relations: 84070
Sun Apr 16 16:12:55 2023  6 relations: 70189
Sun Apr 16 16:12:55 2023  7 relations: 62179
Sun Apr 16 16:12:55 2023  8 relations: 53262
Sun Apr 16 16:12:55 2023  9 relations: 45349
Sun Apr 16 16:12:55 2023  10+ relations: 174367
Sun Apr 16 16:12:55 2023  heaviest cycle: 22 relations
Sun Apr 16 16:12:56 2023  RelProcTime: 107
Sun Apr 16 16:12:56 2023  elapsed time 00:01:47
Sun Apr 16 16:12:56 2023  
Sun Apr 16 16:12:56 2023  
Sun Apr 16 16:12:56 2023  Msieve v. 1.52 (SVN 927)
Sun Apr 16 16:12:56 2023  random seeds: c546fec0 4da036fd
Sun Apr 16 16:12:56 2023  factoring 51287425946868219141854130327559392319087817858247171144553019428903212131311181502591099028423663561670282837037402026801271790586733777679 (140 digits)
Sun Apr 16 16:12:56 2023  searching for 15-digit factors
Sun Apr 16 16:12:57 2023  commencing number field sieve (140-digit input)
Sun Apr 16 16:12:57 2023  R0: -10000000000000000000000000000000000
Sun Apr 16 16:12:57 2023  R1: 1
Sun Apr 16 16:12:57 2023  A0: 1
Sun Apr 16 16:12:57 2023  A1: 0
Sun Apr 16 16:12:57 2023  A2: 0
Sun Apr 16 16:12:57 2023  A3: 0
Sun Apr 16 16:12:57 2023  A4: 0
Sun Apr 16 16:12:57 2023  A5: 725
Sun Apr 16 16:12:57 2023  skew 0.27, size 5.497e-012, alpha -0.092, combined = 2.268e-010 rroots = 1
Sun Apr 16 16:12:57 2023  
Sun Apr 16 16:12:57 2023  commencing linear algebra
Sun Apr 16 16:12:57 2023  read 911041 cycles
Sun Apr 16 16:12:58 2023  cycles contain 3058117 unique relations
Sun Apr 16 16:13:04 2023  read 3058117 relations
Sun Apr 16 16:13:07 2023  using 20 quadratic characters above 134216142
Sun Apr 16 16:13:15 2023  building initial matrix
Sun Apr 16 16:13:31 2023  memory use: 375.0 MB
Sun Apr 16 16:13:32 2023  read 911041 cycles
Sun Apr 16 16:13:32 2023  matrix is 910860 x 911041 (272.7 MB) with weight 81646407 (89.62/col)
Sun Apr 16 16:13:32 2023  sparse part has weight 61476612 (67.48/col)
Sun Apr 16 16:13:36 2023  filtering completed in 2 passes
Sun Apr 16 16:13:36 2023  matrix is 908381 x 908562 (272.5 MB) with weight 81552227 (89.76/col)
Sun Apr 16 16:13:36 2023  sparse part has weight 61439517 (67.62/col)
Sun Apr 16 16:13:38 2023  matrix starts at (0, 0)
Sun Apr 16 16:13:38 2023  matrix is 908381 x 908562 (272.5 MB) with weight 81552227 (89.76/col)
Sun Apr 16 16:13:38 2023  sparse part has weight 61439517 (67.62/col)
Sun Apr 16 16:13:38 2023  saving the first 48 matrix rows for later
Sun Apr 16 16:13:38 2023  matrix includes 64 packed rows
Sun Apr 16 16:13:38 2023  matrix is 908333 x 908562 (258.5 MB) with weight 64380994 (70.86/col)
Sun Apr 16 16:13:38 2023  sparse part has weight 58672105 (64.58/col)
Sun Apr 16 16:13:38 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Sun Apr 16 16:13:41 2023  commencing Lanczos iteration (32 threads)
Sun Apr 16 16:13:41 2023  memory use: 205.7 MB
Sun Apr 16 16:13:42 2023  linear algebra at 0.3%, ETA 0h 4m
Sun Apr 16 16:22:00 2023  lanczos halted after 14367 iterations (dim = 908330)
Sun Apr 16 16:22:00 2023  recovered 35 nontrivial dependencies
Sun Apr 16 16:22:00 2023  BLanczosTime: 543
Sun Apr 16 16:22:00 2023  elapsed time 00:09:04
Sun Apr 16 16:22:00 2023  
Sun Apr 16 16:22:00 2023  
Sun Apr 16 16:22:00 2023  Msieve v. 1.52 (SVN 927)
Sun Apr 16 16:22:00 2023  random seeds: d6f5f6dc 2c8e432b
Sun Apr 16 16:22:00 2023  factoring 51287425946868219141854130327559392319087817858247171144553019428903212131311181502591099028423663561670282837037402026801271790586733777679 (140 digits)
Sun Apr 16 16:22:01 2023  searching for 15-digit factors
Sun Apr 16 16:22:01 2023  commencing number field sieve (140-digit input)
Sun Apr 16 16:22:01 2023  R0: -10000000000000000000000000000000000
Sun Apr 16 16:22:01 2023  R1: 1
Sun Apr 16 16:22:01 2023  A0: 1
Sun Apr 16 16:22:01 2023  A1: 0
Sun Apr 16 16:22:01 2023  A2: 0
Sun Apr 16 16:22:01 2023  A3: 0
Sun Apr 16 16:22:01 2023  A4: 0
Sun Apr 16 16:22:01 2023  A5: 725
Sun Apr 16 16:22:01 2023  skew 0.27, size 5.497e-012, alpha -0.092, combined = 2.268e-010 rroots = 1
Sun Apr 16 16:22:01 2023  
Sun Apr 16 16:22:01 2023  commencing square root phase
Sun Apr 16 16:22:01 2023  reading relations for dependency 1
Sun Apr 16 16:22:01 2023  read 454397 cycles
Sun Apr 16 16:22:01 2023  cycles contain 1529834 unique relations
Sun Apr 16 16:22:05 2023  read 1529834 relations
Sun Apr 16 16:22:08 2023  multiplying 1529834 relations
Sun Apr 16 16:22:34 2023  multiply complete, coefficients have about 46.48 million bits
Sun Apr 16 16:22:34 2023  initial square root is modulo 4714441
Sun Apr 16 16:23:08 2023  GCD is 1, no factor found
Sun Apr 16 16:23:08 2023  reading relations for dependency 2
Sun Apr 16 16:23:09 2023  read 454088 cycles
Sun Apr 16 16:23:09 2023  cycles contain 1528792 unique relations
Sun Apr 16 16:23:12 2023  read 1528792 relations
Sun Apr 16 16:23:16 2023  multiplying 1528792 relations
Sun Apr 16 16:23:41 2023  multiply complete, coefficients have about 46.45 million bits
Sun Apr 16 16:23:41 2023  initial square root is modulo 4663111
Sun Apr 16 16:24:15 2023  sqrtTime: 134
Sun Apr 16 16:24:15 2023  prp67 factor: 8153591506238836768818620244544744567663372661725542205915045250173
Sun Apr 16 16:24:15 2023  prp73 factor: 6290163777229324535891306773916035421142679134427211473614776252028716923
Sun Apr 16 16:24:15 2023  elapsed time 00:02:15
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 11:25:41 UTC 2023 年 3 月 23 日 (木) 20 時 25 分 41 秒 (日本時間)

29×10173+43

c171

name 名前Bob Backstrom
date 日付March 11, 2023 04:46:33 UTC 2023 年 3 月 11 日 (土) 13 時 46 分 33 秒 (日本時間)
composite number 合成数
146553466747523751768748736608045279967657165959167172023448554679603800282999797857287244794825146553466747523751768748736608045279967657165959167172023448554679603800283<171>
prime factors 素因数
298341289448116066155043142920933204009817165787116935753973395289<66>
491227570339406777053088419506160982254677465432607320206991298298923605758965922935426781278065236715347<105>
factorization results 素因数分解の結果
Number: n
N=146553466747523751768748736608045279967657165959167172023448554679603800282999797857287244794825146553466747523751768748736608045279967657165959167172023448554679603800283  ( 171 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sat Mar 11 15:38:21 2023  prp66 factor: 298341289448116066155043142920933204009817165787116935753973395289
Sat Mar 11 15:38:21 2023  prp105 factor: 491227570339406777053088419506160982254677465432607320206991298298923605758965922935426781278065236715347
Sat Mar 11 15:38:21 2023  elapsed time 00:21:49 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 29x10^173+4 = 96(172)8
#
n: 146553466747523751768748736608045279967657165959167172023448554679603800282999797857287244794825146553466747523751768748736608045279967657165959167172023448554679603800283
m: 10000000000000000000000000000000000
deg: 5
c5: 7250
c0: 1
skew: 0.17
# Murphy_E = 1.867e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 13950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1504689 hash collisions in 13516224 relations (12812795 unique)
Msieve: matrix is 806325 x 806552 (227.4 MB)

Sieving start time: 2023/03/11 13:22:15
Sieving end time  : 2023/03/11 15:16:08

Total sieving time: 1hrs 53min 53secs.

Total relation processing time: 0hrs 18min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 0sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
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)

29×10174+43

c144

name 名前anonymous
date 日付March 11, 2023 13:39:20 UTC 2023 年 3 月 11 日 (土) 22 時 39 分 20 秒 (日本時間)
composite number 合成数
331785327959695551554184951673932858584801793385746105653335349094019583921417186622676408049155841322825005091499385222753373688753396353946709<144>
prime factors 素因数
2910160901757259330045298616882133606001<40>
114009272737927203036706069039038612062361929929592401954214340810200983293493191724538258216900675292709<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:12859825913456764679
Step 1 took 11157ms
Step 2 took 4297ms
********** Factor found in step 2: 2910160901757259330045298616882133606001
Found prime factor of 40 digits: 2910160901757259330045298616882133606001
Prime cofactor 114009272737927203036706069039038612062361929929592401954214340810200983293493191724538258216900675292709 has 105 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)

29×10175+43

c151

name 名前Bob Backstrom
date 日付April 12, 2023 06:18:22 UTC 2023 年 4 月 12 日 (水) 15 時 18 分 22 秒 (日本時間)
composite number 合成数
8375076806101410184956740849560885849560262685034319823435127543032269783061346841333849358297575712154810741175414850009438356618016944370047898969389<151>
prime factors 素因数
72906007860808251348060801963961227175260410686760386277<56>
114874988383550786300552583302608241943749560876265949200357815314552666111198212088186879090857<96>
factorization results 素因数分解の結果
Number: n
N=8375076806101410184956740849560885849560262685034319823435127543032269783061346841333849358297575712154810741175414850009438356618016944370047898969389  ( 151 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Apr 12 13:42:58 2023  prp56 factor: 72906007860808251348060801963961227175260410686760386277
Wed Apr 12 13:42:58 2023  prp96 factor: 114874988383550786300552583302608241943749560876265949200357815314552666111198212088186879090857
Wed Apr 12 13:42:58 2023  elapsed time 00:21:22 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 29x10^175+4 = 96(174)8
#
n: 8375076806101410184956740849560885849560262685034319823435127543032269783061346841333849358297575712154810741175414850009438356618016944370047898969389
m: 100000000000000000000000000000000000
deg: 5
c5: 29
c0: 4
skew: 0.67
# Murphy_E = 2.004e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 21450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1893774 hash collisions in 18915689 relations (17811366 unique)
Msieve: matrix is 743950 x 744181 (208.8 MB)

Sieving start time: 2023/04/12 09:22:38
Sieving end time  : 2023/04/12 12:25:16

Total sieving time: 3hrs 2min 38secs.

Total relation processing time: 0hrs 15min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62125Rytis SlatkevičiusMarch 27, 2023 07:55:53 UTC 2023 年 3 月 27 日 (月) 16 時 55 分 53 秒 (日本時間)
4511e62310 / 3965Rytis SlatkevičiusMarch 27, 2023 08:43:48 UTC 2023 年 3 月 27 日 (月) 17 時 43 分 48 秒 (日本時間)

29×10177+43

c112

name 名前Ignacio Santos
date 日付February 22, 2023 08:44:19 UTC 2023 年 2 月 22 日 (水) 17 時 44 分 19 秒 (日本時間)
composite number 合成数
1020097843969826888378827467372272368652000017450463223722222973453991956083064852005585101916122855835574907589<112>
prime factors 素因数
8341353430025865876638960021903928456595914113304449<52>
122294044069376358474388422840075435882445305802436955073861<60>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1750000, q1=1850000.
->               client 1 q0: 1750000
      LatSieveTime: 90
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-> makeJobFile(): Adjusted to q0=1850001, q1=1950000.
->               client 1 q0: 1850001
      LatSieveTime: 82
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-> makeJobFile(): Adjusted to q0=1950001, q1=2050000.
->               client 1 q0: 1950001
      LatSieveTime: 89
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        LatSieveTime: 117
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-> makeJobFile(): Adjusted to q0=2050001, q1=2150000.
->               client 1 q0: 2050001
      LatSieveTime: 92
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-> makeJobFile(): Adjusted to q0=2150001, q1=2250000.
->               client 1 q0: 2150001
      LatSieveTime: 81
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-> makeJobFile(): Adjusted to q0=2250001, q1=2350000.
->               client 1 q0: 2250001
      LatSieveTime: 90
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-> makeJobFile(): Adjusted to q0=2350001, q1=2450000.
->               client 1 q0: 2350001
      LatSieveTime: 76
        LatSieveTime: 90
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-> makeJobFile(): Adjusted to q0=2450001, q1=2550000.
->               client 1 q0: 2450001
      LatSieveTime: 89
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-> makeJobFile(): Adjusted to q0=2550001, q1=2650000.
->               client 1 q0: 2550001
      LatSieveTime: 85
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Wed Feb 22 09:37:01 2023  
Wed Feb 22 09:37:01 2023  
Wed Feb 22 09:37:01 2023  Msieve v. 1.52 (SVN 927)
Wed Feb 22 09:37:01 2023  random seeds: fd8c4c8c aade963a
Wed Feb 22 09:37:01 2023  factoring 1020097843969826888378827467372272368652000017450463223722222973453991956083064852005585101916122855835574907589 (112 digits)
Wed Feb 22 09:37:02 2023  searching for 15-digit factors
Wed Feb 22 09:37:02 2023  commencing number field sieve (112-digit input)
Wed Feb 22 09:37:02 2023  R0: -2530034443943199329492
Wed Feb 22 09:37:02 2023  R1: 723009501269
Wed Feb 22 09:37:02 2023  A0: 698431831641547941773791053
Wed Feb 22 09:37:02 2023  A1: 52773318677653234090457
Wed Feb 22 09:37:02 2023  A2: -2239147263747427903
Wed Feb 22 09:37:02 2023  A3: -69101023434489
Wed Feb 22 09:37:02 2023  A4: 1154646882
Wed Feb 22 09:37:02 2023  A5: 9840
Wed Feb 22 09:37:02 2023  skew 45689.74, size 9.055e-011, alpha -5.340, combined = 7.220e-010 rroots = 5
Wed Feb 22 09:37:02 2023  
Wed Feb 22 09:37:02 2023  commencing relation filtering
Wed Feb 22 09:37:02 2023  estimated available RAM is 65413.5 MB
Wed Feb 22 09:37:02 2023  commencing duplicate removal, pass 1
Wed Feb 22 09:37:16 2023  found 709600 hash collisions in 7351377 relations
Wed Feb 22 09:37:24 2023  added 57799 free relations
Wed Feb 22 09:37:24 2023  commencing duplicate removal, pass 2
Wed Feb 22 09:37:26 2023  found 418635 duplicates and 6990541 unique relations
Wed Feb 22 09:37:26 2023  memory use: 24.6 MB
Wed Feb 22 09:37:26 2023  reading ideals above 100000
Wed Feb 22 09:37:26 2023  commencing singleton removal, initial pass
Wed Feb 22 09:37:51 2023  memory use: 188.3 MB
Wed Feb 22 09:37:52 2023  reading all ideals from disk
Wed Feb 22 09:37:52 2023  memory use: 238.4 MB
Wed Feb 22 09:37:52 2023  keeping 7856100 ideals with weight <= 200, target excess is 37787
Wed Feb 22 09:37:52 2023  commencing in-memory singleton removal
Wed Feb 22 09:37:52 2023  begin with 6990541 relations and 7856100 unique ideals
Wed Feb 22 09:37:55 2023  reduce to 2142164 relations and 2059915 ideals in 19 passes
Wed Feb 22 09:37:55 2023  max relations containing the same ideal: 86
Wed Feb 22 09:37:55 2023  removing 208433 relations and 189225 ideals in 19208 cliques
Wed Feb 22 09:37:55 2023  commencing in-memory singleton removal
Wed Feb 22 09:37:55 2023  begin with 1933731 relations and 2059915 unique ideals
Wed Feb 22 09:37:55 2023  reduce to 1916097 relations and 1852849 ideals in 10 passes
Wed Feb 22 09:37:55 2023  max relations containing the same ideal: 80
Wed Feb 22 09:37:56 2023  removing 155945 relations and 136737 ideals in 19208 cliques
Wed Feb 22 09:37:56 2023  commencing in-memory singleton removal
Wed Feb 22 09:37:56 2023  begin with 1760152 relations and 1852849 unique ideals
Wed Feb 22 09:37:56 2023  reduce to 1749142 relations and 1704981 ideals in 9 passes
Wed Feb 22 09:37:56 2023  max relations containing the same ideal: 78
Wed Feb 22 09:37:57 2023  relations with 0 large ideals: 109
Wed Feb 22 09:37:57 2023  relations with 1 large ideals: 330
Wed Feb 22 09:37:57 2023  relations with 2 large ideals: 5091
Wed Feb 22 09:37:57 2023  relations with 3 large ideals: 40156
Wed Feb 22 09:37:57 2023  relations with 4 large ideals: 169709
Wed Feb 22 09:37:57 2023  relations with 5 large ideals: 393512
Wed Feb 22 09:37:57 2023  relations with 6 large ideals: 525514
Wed Feb 22 09:37:57 2023  relations with 7+ large ideals: 614721
Wed Feb 22 09:37:57 2023  commencing 2-way merge
Wed Feb 22 09:37:57 2023  reduce to 974766 relation sets and 930606 unique ideals
Wed Feb 22 09:37:57 2023  ignored 1 oversize relation sets
Wed Feb 22 09:37:57 2023  commencing full merge
Wed Feb 22 09:38:07 2023  memory use: 105.0 MB
Wed Feb 22 09:38:08 2023  found 479884 cycles, need 474806
Wed Feb 22 09:38:08 2023  weight of 474806 cycles is about 33471889 (70.50/cycle)
Wed Feb 22 09:38:08 2023  distribution of cycle lengths:
Wed Feb 22 09:38:08 2023  1 relations: 53522
Wed Feb 22 09:38:08 2023  2 relations: 53807
Wed Feb 22 09:38:08 2023  3 relations: 54389
Wed Feb 22 09:38:08 2023  4 relations: 48026
Wed Feb 22 09:38:08 2023  5 relations: 43535
Wed Feb 22 09:38:08 2023  6 relations: 36596
Wed Feb 22 09:38:08 2023  7 relations: 32403
Wed Feb 22 09:38:08 2023  8 relations: 27562
Wed Feb 22 09:38:08 2023  9 relations: 23260
Wed Feb 22 09:38:08 2023  10+ relations: 101706
Wed Feb 22 09:38:08 2023  heaviest cycle: 23 relations
Wed Feb 22 09:38:08 2023  commencing cycle optimization
Wed Feb 22 09:38:08 2023  start with 2965430 relations
Wed Feb 22 09:38:12 2023  pruned 57690 relations
Wed Feb 22 09:38:12 2023  memory use: 100.4 MB
Wed Feb 22 09:38:12 2023  distribution of cycle lengths:
Wed Feb 22 09:38:12 2023  1 relations: 53522
Wed Feb 22 09:38:12 2023  2 relations: 54840
Wed Feb 22 09:38:12 2023  3 relations: 56058
Wed Feb 22 09:38:12 2023  4 relations: 48968
Wed Feb 22 09:38:12 2023  5 relations: 44160
Wed Feb 22 09:38:12 2023  6 relations: 36968
Wed Feb 22 09:38:12 2023  7 relations: 32480
Wed Feb 22 09:38:12 2023  8 relations: 27527
Wed Feb 22 09:38:12 2023  9 relations: 23057
Wed Feb 22 09:38:12 2023  10+ relations: 97226
Wed Feb 22 09:38:12 2023  heaviest cycle: 23 relations
Wed Feb 22 09:38:12 2023  RelProcTime: 70
Wed Feb 22 09:38:12 2023  elapsed time 00:01:11
Wed Feb 22 09:38:12 2023  
Wed Feb 22 09:38:12 2023  
Wed Feb 22 09:38:12 2023  Msieve v. 1.52 (SVN 927)
Wed Feb 22 09:38:12 2023  random seeds: efe88d8c 94dce65a
Wed Feb 22 09:38:12 2023  factoring 1020097843969826888378827467372272368652000017450463223722222973453991956083064852005585101916122855835574907589 (112 digits)
Wed Feb 22 09:38:12 2023  searching for 15-digit factors
Wed Feb 22 09:38:12 2023  commencing number field sieve (112-digit input)
Wed Feb 22 09:38:12 2023  R0: -2530034443943199329492
Wed Feb 22 09:38:12 2023  R1: 723009501269
Wed Feb 22 09:38:12 2023  A0: 698431831641547941773791053
Wed Feb 22 09:38:12 2023  A1: 52773318677653234090457
Wed Feb 22 09:38:12 2023  A2: -2239147263747427903
Wed Feb 22 09:38:12 2023  A3: -69101023434489
Wed Feb 22 09:38:12 2023  A4: 1154646882
Wed Feb 22 09:38:12 2023  A5: 9840
Wed Feb 22 09:38:12 2023  skew 45689.74, size 9.055e-011, alpha -5.340, combined = 7.220e-010 rroots = 5
Wed Feb 22 09:38:12 2023  
Wed Feb 22 09:38:12 2023  commencing linear algebra
Wed Feb 22 09:38:12 2023  read 474806 cycles
Wed Feb 22 09:38:13 2023  cycles contain 1697762 unique relations
Wed Feb 22 09:38:16 2023  read 1697762 relations
Wed Feb 22 09:38:18 2023  using 20 quadratic characters above 134215122
Wed Feb 22 09:38:22 2023  building initial matrix
Wed Feb 22 09:38:30 2023  memory use: 212.5 MB
Wed Feb 22 09:38:30 2023  read 474806 cycles
Wed Feb 22 09:38:30 2023  matrix is 474629 x 474806 (143.1 MB) with weight 45586555 (96.01/col)
Wed Feb 22 09:38:30 2023  sparse part has weight 32282304 (67.99/col)
Wed Feb 22 09:38:32 2023  filtering completed in 2 passes
Wed Feb 22 09:38:33 2023  matrix is 473786 x 473962 (143.0 MB) with weight 45552386 (96.11/col)
Wed Feb 22 09:38:33 2023  sparse part has weight 32273188 (68.09/col)
Wed Feb 22 09:38:33 2023  matrix starts at (0, 0)
Wed Feb 22 09:38:33 2023  matrix is 473786 x 473962 (143.0 MB) with weight 45552386 (96.11/col)
Wed Feb 22 09:38:33 2023  sparse part has weight 32273188 (68.09/col)
Wed Feb 22 09:38:33 2023  saving the first 48 matrix rows for later
Wed Feb 22 09:38:34 2023  matrix includes 64 packed rows
Wed Feb 22 09:38:34 2023  matrix is 473738 x 473962 (138.1 MB) with weight 36001082 (75.96/col)
Wed Feb 22 09:38:34 2023  sparse part has weight 31454862 (66.37/col)
Wed Feb 22 09:38:34 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Wed Feb 22 09:38:35 2023  commencing Lanczos iteration (32 threads)
Wed Feb 22 09:38:35 2023  memory use: 107.9 MB
Wed Feb 22 09:38:40 2023  linear algebra at 2.6%, ETA 0h 3m
Wed Feb 22 09:42:07 2023  lanczos halted after 7493 iterations (dim = 473737)
Wed Feb 22 09:42:07 2023  recovered 30 nontrivial dependencies
Wed Feb 22 09:42:07 2023  BLanczosTime: 235
Wed Feb 22 09:42:07 2023  elapsed time 00:03:55
Wed Feb 22 09:42:07 2023  
Wed Feb 22 09:42:07 2023  
Wed Feb 22 09:42:07 2023  Msieve v. 1.52 (SVN 927)
Wed Feb 22 09:42:07 2023  random seeds: 912b2bf8 a4ab9d74
Wed Feb 22 09:42:07 2023  factoring 1020097843969826888378827467372272368652000017450463223722222973453991956083064852005585101916122855835574907589 (112 digits)
Wed Feb 22 09:42:08 2023  searching for 15-digit factors
Wed Feb 22 09:42:08 2023  commencing number field sieve (112-digit input)
Wed Feb 22 09:42:08 2023  R0: -2530034443943199329492
Wed Feb 22 09:42:08 2023  R1: 723009501269
Wed Feb 22 09:42:08 2023  A0: 698431831641547941773791053
Wed Feb 22 09:42:08 2023  A1: 52773318677653234090457
Wed Feb 22 09:42:08 2023  A2: -2239147263747427903
Wed Feb 22 09:42:08 2023  A3: -69101023434489
Wed Feb 22 09:42:08 2023  A4: 1154646882
Wed Feb 22 09:42:08 2023  A5: 9840
Wed Feb 22 09:42:08 2023  skew 45689.74, size 9.055e-011, alpha -5.340, combined = 7.220e-010 rroots = 5
Wed Feb 22 09:42:08 2023  
Wed Feb 22 09:42:08 2023  commencing square root phase
Wed Feb 22 09:42:08 2023  reading relations for dependency 1
Wed Feb 22 09:42:08 2023  read 237306 cycles
Wed Feb 22 09:42:08 2023  cycles contain 850542 unique relations
Wed Feb 22 09:42:10 2023  read 850542 relations
Wed Feb 22 09:42:12 2023  multiplying 850542 relations
Wed Feb 22 09:42:32 2023  multiply complete, coefficients have about 36.56 million bits
Wed Feb 22 09:42:32 2023  initial square root is modulo 177841
Wed Feb 22 09:42:56 2023  GCD is N, no factor found
Wed Feb 22 09:42:56 2023  reading relations for dependency 2
Wed Feb 22 09:42:56 2023  read 237173 cycles
Wed Feb 22 09:42:56 2023  cycles contain 849886 unique relations
Wed Feb 22 09:42:58 2023  read 849886 relations
Wed Feb 22 09:43:00 2023  multiplying 849886 relations
Wed Feb 22 09:43:19 2023  multiply complete, coefficients have about 36.54 million bits
Wed Feb 22 09:43:19 2023  initial square root is modulo 176261
Wed Feb 22 09:43:43 2023  sqrtTime: 95
Wed Feb 22 09:43:43 2023  prp52 factor: 8341353430025865876638960021903928456595914113304449
Wed Feb 22 09:43:43 2023  prp60 factor: 122294044069376358474388422840075435882445305802436955073861
Wed Feb 22 09:43:43 2023  elapsed time 00:01:36
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)

29×10178+43

c170

name 名前Bob Backstrom
date 日付April 6, 2023 09:13:32 UTC 2023 年 4 月 6 日 (木) 18 時 13 分 32 秒 (日本時間)
composite number 合成数
31579690017273580808589059597614821817830077060676819584050068700352444977984105853155592227140271816619442419993932317562454868729951805302919305864666454575726182932207<170>
prime factors 素因数
1239298879277165295531981108261473815762594259392856323633886352386091344710111158229<85>
25481899923683286479858919207370809805093985318765609308303093681860792503598553704883<86>
factorization results 素因数分解の結果
Number: n
N=31579690017273580808589059597614821817830077060676819584050068700352444977984105853155592227140271816619442419993932317562454868729951805302919305864666454575726182932207  ( 170 digits)
SNFS difficulty: 178 digits.
Divisors found:

Fri Mar 17 17:16:53 2023  prp85 factor: 1239298879277165295531981108261473815762594259392856323633886352386091344710111158229
Fri Mar 17 17:16:53 2023  prp86 factor: 25481899923683286479858919207370809805093985318765609308303093681860792503598553704883
Fri Mar 17 17:16:53 2023  elapsed time 00:30:51 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.083).
Factorization parameters were as follows:
#
# N = 29x10^178+4 = 96(177)8
#
n: 31579690017273580808589059597614821817830077060676819584050068700352444977984105853155592227140271816619442419993932317562454868729951805302919305864666454575726182932207
m: 100000000000000000000000000000000000
deg: 5
c5: 7250
c0: 1
skew: 0.17
# Murphy_E = 1.177e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 14450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1913265 hash collisions in 15170125 relations (14117554 unique)
Msieve: matrix is 957125 x 957350 (270.0 MB)

Sieving start time: 2023/03/17 14:34:42
Sieving end time  : 2023/03/17 16:45:43

Total sieving time: 2hrs 11min 1secs.

Total relation processing time: 0hrs 26min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

29×10180+43

c134

name 名前Eric Jeancolas
date 日付June 22, 2023 05:44:17 UTC 2023 年 6 月 22 日 (木) 14 時 44 分 17 秒 (日本時間)
composite number 合成数
12066827232156226128551111548914304284935652354211745501710768027229031182148602418217904092013371755043683600555361922488878507909151<134>
prime factors 素因数
416427209627410006972801639592131765714771865243664870302306762603<66>
28977038371130408729053631900110868907991732425382504529729911788317<68>
factorization results 素因数分解の結果
12066827232156226128551111548914304284935652354211745501710768027229031182148602418217904092013371755043683600555361922488878507909151=416427209627410006972801639592131765714771865243664870302306762603*28977038371130408729053631900110868907991732425382504529729911788317

cado polynomial
n: 12066827232156226128551111548914304284935652354211745501710768027229031182148602418217904092013371755043683600555361922488878507909151
skew: 0.67
type: snfs
c0: 4
c5: 29
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 29*x^5+4
# g(x) = -x+1000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 416427209627410006972801639592131765714771865243664870302306762603 28977038371130408729053631900110868907991732425382504529729911788317
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 204.51/66.2312
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 3.11/1.77535
Info:Generate Free Relations: Total cpu/real time for freerel: 126.74/33.5601
Info:Square Root: Total cpu/real time for sqrt: 204.51/66.2312
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 86.76/84.9859
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 84.7s
Info:Quadratic Characters: Total cpu/real time for characters: 30.13/12.7766
Info:Filtering - Singleton removal: Total cpu/real time for purge: 139.42/115.318
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.41/185.497
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.2s
Info:Filtering - Merging: Merged matrix has 908695 rows and total weight 155014299 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 239.98/65.3425
Info:Filtering - Merging: Total cpu/real time for replay: 30.1/30.1874
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22425128
Info:Lattice Sieving: Average J: 1894.66 for 724251 special-q, max bucket fill -bkmult 1.0,1s:1.181730
Info:Lattice Sieving: Total time: 124478s
Info:Linear Algebra: Total cpu/real time for bwc: 14370.5/3817.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9266.17, WCT time 2390.48, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28416 iterations)
Info:Linear Algebra: Lingen CPU time 114.13, WCT time 116.74
Info:Linear Algebra: Mksol: CPU time 4817.73,  WCT time 1246.54, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (14336 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 249486/66900.7
Info:root: Cleaning up computation data in /tmp/cado.ba67_wk1
416427209627410006972801639592131765714771865243664870302306762603 28977038371130408729053631900110868907991732425382504529729911788317
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 31, 2023 14:23:31 UTC 2023 年 3 月 31 日 (金) 23 時 23 分 31 秒 (日本時間)

29×10181+43

c141

name 名前Eric Jeancolas
date 日付May 13, 2023 04:52:36 UTC 2023 年 5 月 13 日 (土) 13 時 52 分 36 秒 (日本時間)
composite number 合成数
496944423387221264108164236992300515086556454734412353306497096441425755832644048031585185528887596059483403333487506772677339439133725341759<141>
prime factors 素因数
384382858940970086226748554654174623485347424773822259921827870143<66>
1292837107139414161715946068036370057137112272029320096988498990519494909313<76>
factorization results 素因数分解の結果
496944423387221264108164236992300515086556454734412353306497096441425755832644048031585185528887596059483403333487506772677339439133725341759=384382858940970086226748554654174623485347424773822259921827870143*1292837107139414161715946068036370057137112272029320096988498990519494909313

cado polynomial
n: 496944423387221264108164236992300515086556454734412353306497096441425755832644048031585185528887596059483403333487506772677339439133725341759
skew: 0.42
type: snfs
c0: 2
c5: 145
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 145*x^5+2
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7600000
tasks.lim1 = 7600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 384382858940970086226748554654174623485347424773822259921827870143 1292837107139414161715946068036370057137112272029320096988498990519494909313
Info:Square Root: Total cpu/real time for sqrt: 218.43/70.9238
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22433109
Info:Lattice Sieving: Average J: 1895.71 for 822548 special-q, max bucket fill -bkmult 1.0,1s:1.183100
Info:Lattice Sieving: Total time: 143788s
Info:Linear Algebra: Total cpu/real time for bwc: 14931.9/3838.48
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9441.14, WCT time 2415.86, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30976 iterations)
Info:Linear Algebra: Lingen CPU time 179.37, WCT time 45.67
Info:Linear Algebra: Mksol: CPU time 5149.52,  WCT time 1317.31, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.23/1.8582
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 233.3/230.372
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 216.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 120.4/31.5536
Info:Square Root: Total cpu/real time for sqrt: 218.43/70.9238
Info:Quadratic Characters: Total cpu/real time for characters: 32.64/12.8265
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.5/88.1315
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 133.06/117.523
Info:Filtering - Merging: Merged matrix has 987893 rows and total weight 168378477 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 246.08/67.4514
Info:Filtering - Merging: Total cpu/real time for replay: 33.94/29.3168
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 290937/52788.4
Info:root: Cleaning up computation data in /tmp/cado.aecda_we
384382858940970086226748554654174623485347424773822259921827870143 1292837107139414161715946068036370057137112272029320096988498990519494909313
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 15, 2023 15:49:13 UTC 2023 年 3 月 16 日 (木) 0 時 49 分 13 秒 (日本時間)

29×10185+43

c147

name 名前Eric Jeancolas
date 日付June 13, 2023 12:41:29 UTC 2023 年 6 月 13 日 (火) 21 時 41 分 29 秒 (日本時間)
composite number 合成数
108972855666021237548204045220792080849844984632790591544442946903810479851204484090404388886892917978298908396367499579059787065546704339407284321<147>
prime factors 素因数
10057331058505840365809874770930136883960482884591225527112233984319651<71>
10835166410661110903984360129332343143796472576313204880676370432517867024171<77>
factorization results 素因数分解の結果
108972855666021237548204045220792080849844984632790591544442946903810479851204484090404388886892917978298908396367499579059787065546704339407284321=10057331058505840365809874770930136883960482884591225527112233984319651*10835166410661110903984360129332343143796472576313204880676370432517867024171

cado polynomial
n: 108972855666021237548204045220792080849844984632790591544442946903810479851204484090404388886892917978298908396367499579059787065546704339407284321
skew: 0.67
type: snfs
c0: 4
c5: 29
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 29*x^5+4
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9000000
tasks.lim1 = 9000000
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: 10057331058505840365809874770930136883960482884591225527112233984319651 10835166410661110903984360129332343143796472576313204880676370432517867024171
Info:Square Root: Total cpu/real time for sqrt: 343.23/112.75
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22426338
Info:Lattice Sieving: Average J: 1894.86 for 921347 special-q, max bucket fill -bkmult 1.0,1s:1.168990
Info:Lattice Sieving: Total time: 172683s
Info:Linear Algebra: Total cpu/real time for bwc: 30524.7/7869.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19441.52, WCT time 4985.46, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43264 iterations)
Info:Linear Algebra: Lingen CPU time 265.03, WCT time 67.41
Info:Linear Algebra: Mksol: CPU time 10575.21,  WCT time 2710.56, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21760 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.82/2.04709
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 236.15/228.488
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 213.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.68/31.0695
Info:Square Root: Total cpu/real time for sqrt: 343.23/112.75
Info:Quadratic Characters: Total cpu/real time for characters: 49.93/23.6694
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.67/90.7222
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 102.56/98.1872
Info:Filtering - Merging: Merged matrix has 1382715 rows and total weight 236708807 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 356.99/98.2509
Info:Filtering - Merging: Total cpu/real time for replay: 51.72/44.5893
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 357019/95297.9
Info:root: Cleaning up computation data in /tmp/cado.1z3mbp1z
10057331058505840365809874770930136883960482884591225527112233984319651 10835166410661110903984360129332343143796472576313204880676370432517867024171
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 13:03:30 UTC 2023 年 3 月 28 日 (火) 22 時 3 分 30 秒 (日本時間)

29×10186+43

c183

name 名前Bob Backstrom
date 日付March 22, 2023 14:18:47 UTC 2023 年 3 月 22 日 (水) 23 時 18 分 47 秒 (日本時間)
composite number 合成数
372999948551731234243967690487215105211709625971086072953645109842053814889128980809795750372999948551731234243967690487215105211709625971086072953645109842053814889128980809795750373<183>
prime factors 素因数
160652994253673596309617825301659770744444593766118180199394074616798065962250723<81>
2321774021608078268148567154274969802596178726290032687941614979701310524730782334065722183747832774551<103>
factorization results 素因数分解の結果
Number: n
N=372999948551731234243967690487215105211709625971086072953645109842053814889128980809795750372999948551731234243967690487215105211709625971086072953645109842053814889128980809795750373  ( 183 digits)
SNFS difficulty: 187 digits.
Divisors found:

Wed Mar 22 23:12:04 2023  prp81 factor: 160652994253673596309617825301659770744444593766118180199394074616798065962250723
Wed Mar 22 23:12:04 2023  prp103 factor: 2321774021608078268148567154274969802596178726290032687941614979701310524730782334065722183747832774551
Wed Mar 22 23:12:04 2023  elapsed time 00:57:30 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.110).
Factorization parameters were as follows:
#
# N = 29x10^186+4 = 96(185)8
#
n: 372999948551731234243967690487215105211709625971086072953645109842053814889128980809795750372999948551731234243967690487215105211709625971086072953645109842053814889128980809795750373
m: 10000000000000000000000000000000000000
deg: 5
c5: 145
c0: 2
skew: 0.42
# Murphy_E = 6.685e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 8550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1087802 hash collisions in 12185179 relations (11874784 unique)
Msieve: matrix is 1362927 x 1363156 (391.6 MB)

Sieving start time: 2023/03/22 18:54:43
Sieving end time  : 2023/03/22 22:14:19

Total sieving time: 3hrs 19min 36secs.

Total relation processing time: 0hrs 51min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 14sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9100000,9100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

29×10187+43

c175

name 名前Bob Backstrom
date 日付March 25, 2023 02:28:23 UTC 2023 年 3 月 25 日 (土) 11 時 28 分 23 秒 (日本時間)
composite number 合成数
1950618231219153878916691919461570236784076699025009209392927830852566399203023881236818068792995502819296045038436495309169413441405964014557772545757693280046869261388538981<175>
prime factors 素因数
17312004870658930988296458901386650435130835743248820331837<59>
112674311600104655204987346764331428511078906070820136774505025682209484783032439921988031064203159977480959853002313<117>
factorization results 素因数分解の結果
Number: n
N=1950618231219153878916691919461570236784076699025009209392927830852566399203023881236818068792995502819296045038436495309169413441405964014557772545757693280046869261388538981  ( 175 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sat Mar 25 13:01:42 2023  prp59 factor: 17312004870658930988296458901386650435130835743248820331837
Sat Mar 25 13:01:42 2023  prp117 factor: 112674311600104655204987346764331428511078906070820136774505025682209484783032439921988031064203159977480959853002313
Sat Mar 25 13:01:42 2023  elapsed time 00:51:35 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 29x10^187+4 = 96(186)8
#
n: 1950618231219153878916691919461570236784076699025009209392927830852566399203023881236818068792995502819296045038436495309169413441405964014557772545757693280046869261388538981
m: 10000000000000000000000000000000000000
deg: 5
c5: 725
c0: 1
skew: 0.27
# Murphy_E = 5.616e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1551262 hash collisions in 14764527 relations (14137920 unique)
Msieve: matrix is 1222652 x 1222878 (345.2 MB)

Sieving start time: 2023/03/25 04:48:56
Sieving end time  : 2023/03/25 12:09:37

Total sieving time: 7hrs 20min 41secs.

Total relation processing time: 0hrs 42min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 57sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9500000,9500000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

29×10188+43

c165

name 名前Bob Backstrom
date 日付March 29, 2023 09:36:06 UTC 2023 年 3 月 29 日 (水) 18 時 36 分 6 秒 (日本時間)
composite number 合成数
223935740932330127500867265457486915350028418213991876808444888319449612666520449071858466513899621676160405964953586724393775276462532235991886089843668685890328387<165>
prime factors 素因数
20413931060088697226517958387591459274424279816927711698649826701323<68>
10969751013323797372047796121226795958630313159168069197196274423635886055552233463378028879257769<98>
factorization results 素因数分解の結果
Number: n
N=223935740932330127500867265457486915350028418213991876808444888319449612666520449071858466513899621676160405964953586724393775276462532235991886089843668685890328387  ( 165 digits)
SNFS difficulty: 188 digits.
Divisors found:

Wed Mar 29 20:20:30 2023  prp68 factor: 20413931060088697226517958387591459274424279816927711698649826701323
Wed Mar 29 20:20:30 2023  prp98 factor: 10969751013323797372047796121226795958630313159168069197196274423635886055552233463378028879257769
Wed Mar 29 20:20:30 2023  elapsed time 00:57:00 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.080).
Factorization parameters were as follows:
#
# N = 29x10^188+4 = 96(187)8
#
n: 223935740932330127500867265457486915350028418213991876808444888319449612666520449071858466513899621676160405964953586724393775276462532235991886089843668685890328387
m: 10000000000000000000000000000000000000
deg: 5
c5: 7250
c0: 1
skew: 0.17
# Murphy_E = 4.619e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1608476 hash collisions in 14646446 relations (13932914 unique)
Msieve: matrix is 1316985 x 1317209 (371.8 MB)

Sieving start time: 2023/03/29 13:52:19
Sieving end time  : 2023/03/29 19:23:11

Total sieving time: 5hrs 30min 52secs.

Total relation processing time: 0hrs 50min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 7sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,27,27,54,54,2.5,2.5,100000
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 09:17:05 UTC 2023 年 3 月 28 日 (火) 18 時 17 分 5 秒 (日本時間)

29×10193+43

c193

name 名前Bob Backstrom
date 日付April 14, 2023 13:31:07 UTC 2023 年 4 月 14 日 (金) 22 時 31 分 7 秒 (日本時間)
composite number 合成数
3452380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<193>
prime factors 素因数
16917617529292339673472220892804579609039810359459987583<56>
90234638671643408631446565653770239955876731399598012565041<59>
2261550166913193735414251890145181364496626237409953095000718218369460909711027<79>
factorization results 素因数分解の結果
Number: n
N=3452380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381  ( 193 digits)
SNFS difficulty: 193 digits.
Divisors found:

Fri Apr 14 23:03:00 2023  prp56 factor: 16917617529292339673472220892804579609039810359459987583
Fri Apr 14 23:03:00 2023  prp59 factor: 90234638671643408631446565653770239955876731399598012565041
Fri Apr 14 23:03:00 2023  prp79 factor: 2261550166913193735414251890145181364496626237409953095000718218369460909711027
Fri Apr 14 23:03:00 2023  elapsed time 02:00:38 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.044).
Factorization parameters were as follows:
#
# N = 29x10^193+4 = 96(192)8
#
n: 3452380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381
m: 100000000000000000000000000000000000000
deg: 5
c5: 7250
c0: 1
skew: 0.17
# Murphy_E = 2.874e-11
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 24350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1450951 hash collisions in 13025882 relations (12340546 unique)
Msieve: matrix is 1900239 x 1900464 (541.1 MB)

Sieving start time: 2023/04/14 13:55:52
Sieving end time  : 2023/04/14 21:02:06

Total sieving time: 7hrs 6min 14secs.

Total relation processing time: 1hrs 47min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 39sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11900000,11900000,27,27,55,55,2.5,2.5,100000
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 2, 2023 20:58:30 UTC 2023 年 3 月 3 日 (金) 5 時 58 分 30 秒 (日本時間)

29×10194+43

c160

name 名前Bob Backstrom
date 日付April 19, 2023 16:05:31 UTC 2023 年 4 月 20 日 (木) 1 時 5 分 31 秒 (日本時間)
composite number 合成数
6146487644494863850507879935406416481370939254289054292868001917273726716742302360123498463714626398439672456602956115927072086007188467156103349118852257808511<160>
prime factors 素因数
86497723676191486560331232652658783775173447<44>
129575162220180068256653805926356650084188452513686652591<57>
548403948771342721730590687645131681360634942189421732492743<60>
factorization results 素因数分解の結果
Number: n
N=71059530624234052998454926266463700777482730913370051859908373305948795011508670801873652956304984818021009869647113  ( 116 digits)
Divisors found:

Thu Apr 20 01:56:55 2023  prp57 factor: 129575162220180068256653805926356650084188452513686652591
Thu Apr 20 01:56:55 2023  prp60 factor: 548403948771342721730590687645131681360634942189421732492743
Thu Apr 20 01:56:55 2023  elapsed time 00:07:47 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 29x10^194+4 = 96(193)8
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 6146487644494863850507879935406416481370939254289054292868001917273726716742302360123498463714626398439672456602956115927072086007188467156103349118852257808511 (160 digits)
# Using B1=31560000, B2=144290666536, polynomial Dickson(12), sigma=1:970514595
# Step 1 took 74639ms
# Step 2 took 24592ms
# ********** Factor found in step 2: 86497723676191486560331232652658783775173447
# Found prime factor of 44 digits: 86497723676191486560331232652658783775173447
# Composite cofactor 71059530624234052998454926266463700777482730913370051859908373305948795011508670801873652956304984818021009869647113 has 116 digits

n: 71059530624234052998454926266463700777482730913370051859908373305948795011508670801873652956304984818021009869647113

Y0: -65276112107679424233857
Y1: 48674572712251
c0: -102426281672670306315227504340
c1: 206571229065230285000727
c2: 4706222869423273285
c3: -10945520197565
c4: -55613576
c5: 60

# skew 334536.90, size 4.733e-11, alpha -5.521, combined = 5.331e-10 rroots = 3

skew: 334536.90

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 12500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1722111 hash collisions in 11703260 relations (10215817 unique)
Msieve: matrix is 486647 x 486889 (66.8 MB)

Sieving start time: 2023/04/20 00:42:10
Sieving end time  : 2023/04/20 01:48:56

Total sieving time: 1hrs 6min 46secs.

Total relation processing time: 0hrs 4min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 41sec.

Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 2, 2023 20:58:38 UTC 2023 年 3 月 3 日 (金) 5 時 58 分 38 秒 (日本時間)
2350Ignacio SantosApril 18, 2023 15:46:37 UTC 2023 年 4 月 19 日 (水) 0 時 46 分 37 秒 (日本時間)

29×10196+43

c153

name 名前Dmitry Domanov
date 日付March 3, 2023 07:26:27 UTC 2023 年 3 月 3 日 (金) 16 時 26 分 27 秒 (日本時間)
composite number 合成数
385465304012948276876567981527591661326912326978658026945157166736418533812645656651525867891075454319233102754204554326661821958025159005586954065802689<153>
prime factors 素因数
117477465818055853674570776351101643228143<42>
3281185045393647568942965830185047945487597806502018686300903686458090866349512606587419666691886907918484287823<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:893674113
Step 1 took 6639ms
Step 2 took 3591ms
********** Factor found in step 2: 117477465818055853674570776351101643228143
Found prime factor of 42 digits: 117477465818055853674570776351101643228143
Prime cofactor 3281185045393647568942965830185047945487597806502018686300903686458090866349512606587419666691886907918484287823 has 112 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 2, 2023 20:58:47 UTC 2023 年 3 月 3 日 (金) 5 時 58 分 47 秒 (日本時間)

29×10197+43

c197

name 名前Bob Backstrom
date 日付April 22, 2023 19:22:07 UTC 2023 年 4 月 23 日 (日) 4 時 22 分 7 秒 (日本時間)
composite number 合成数
10507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942029<197>
prime factors 素因数
24744504995703985717785004972714917846896884658137<50>
424629483541328005100189840095596323745157360234058600068244149325524662735690631132543507462325489420906704451775769742716754768014971161318620117<147>
factorization results 素因数分解の結果
Number: n
N=10507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942029  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Apr 23 05:14:19 2023  prp50 factor: 24744504995703985717785004972714917846896884658137
Sun Apr 23 05:14:19 2023  prp147 factor: 424629483541328005100189840095596323745157360234058600068244149325524662735690631132543507462325489420906704451775769742716754768014971161318620117
Sun Apr 23 05:14:19 2023  elapsed time 01:51:32 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
#
# N = 29x10^197+4 = 96(196)8
#
n: 10507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942029
m: 1000000000000000000000000000000000000000
deg: 5
c5: 725
c0: 1
skew: 0.27
# Murphy_E = 2.168e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 32550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2099827 hash collisions in 15815337 relations (14591737 unique)
Msieve: matrix is 1793362 x 1793587 (507.0 MB)

Sieving start time: 2023/04/22 15:47:54
Sieving end time  : 2023/04/23 03:22:28

Total sieving time: 11hrs 34min 34secs.

Total relation processing time: 1hrs 39min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 30sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,27,27,55,55,2.5,2.5,100000
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 2, 2023 20:58:55 UTC 2023 年 3 月 3 日 (金) 5 時 58 分 55 秒 (日本時間)

29×10200+43

c155

name 名前Bob Backstrom
date 日付June 4, 2023 15:35:44 UTC 2023 年 6 月 5 日 (月) 0 時 35 分 44 秒 (日本時間)
composite number 合成数
12539373983037315807693677490397916115273115726533195722422844232969498554088894936612813737667459690155645867752941168946468881859368918975430687032359803<155>
prime factors 素因数
157527510221721041268813550105444562290887078076717<51>
79601169125240802086126763579815572445235047067217875173469472747369832303494852285445458940712986175559<104>
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 12539373983037315807693677490397916115273115726533195722422844232969498554088894936612813737667459690155645867752941168946468881859368918975430687032359803 (155 digits)
Using B1=43420000, B2=240490660426, polynomial Dickson(12), sigma=1:3864230142
Step 1 took 87468ms
Step 2 took 30296ms
********** Factor found in step 2: 157527510221721041268813550105444562290887078076717
Found prime factor of 51 digits: 157527510221721041268813550105444562290887078076717
Prime cofactor 79601169125240802086126763579815572445235047067217875173469472747369832303494852285445458940712986175559 has 104 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 17, 2023 16:18:47 UTC 2023 年 3 月 18 日 (土) 1 時 18 分 47 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovMarch 29, 2023 23:42:59 UTC 2023 年 3 月 30 日 (木) 8 時 42 分 59 秒 (日本時間)

29×10201+43

c182

name 名前Bob Backstrom
date 日付July 11, 2023 10:08:58 UTC 2023 年 7 月 11 日 (火) 19 時 8 分 58 秒 (日本時間)
composite number 合成数
14073925017356711434503000202529190632873354527377899974394823657578574838353619399657227796635422741425107123225421462076644300753845210206282313134305044547067657731723428905020487<182>
prime factors 素因数
32318699945705921587813716068956338890151770590786581132851093941588523<71>
435473117452135235014045674900062691964276794582069129421620201844103557380321519117855371565845510305202678869<111>
factorization results 素因数分解の結果
Number: n
N=14073925017356711434503000202529190632873354527377899974394823657578574838353619399657227796635422741425107123225421462076644300753845210206282313134305044547067657731723428905020487  ( 182 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Jul  9 18:36:27 2023  prp71 factor: 32318699945705921587813716068956338890151770590786581132851093941588523
Sun Jul  9 18:36:27 2023  prp111 factor: 435473117452135235014045674900062691964276794582069129421620201844103557380321519117855371565845510305202678869
Sun Jul  9 18:36:27 2023  elapsed time 02:02:05 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.975).
Factorization parameters were as follows:
#
# N = 29x10^201+4 = 96(200)8
#
n: 14073925017356711434503000202529190632873354527377899974394823657578574838353619399657227796635422741425107123225421462076644300753845210206282313134305044547067657731723428905020487
m: 10000000000000000000000000000000000000000
deg: 5
c5: 145
c0: 2
skew: 0.42
# Murphy_E = 1.595e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2159202 hash collisions in 16378836 relations (14779130 unique)
Msieve: matrix is 1952564 x 1952790 (554.8 MB)

Sieving start time: 2023/07/09 08:36:57
Sieving end time  : 2023/07/09 16:33:48

Total sieving time: 7hrs 56min 51secs.

Total relation processing time: 1hrs 54min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 46sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 19, 2023 01:33:14 UTC 2023 年 3 月 19 日 (日) 10 時 33 分 14 秒 (日本時間)

29×10203+43

c150

name 名前Bob Backstrom
date 日付July 29, 2023 23:58:02 UTC 2023 年 7 月 30 日 (日) 8 時 58 分 2 秒 (日本時間)
composite number 合成数
254441326505499017750157309522265577580074542740078729667145635917702550939540600185366966708405399628774391462879905485355426851388257791335451149183<150>
prime factors 素因数
436460802398020245694722291279505536109319<42>
582964896521147817543101382231005957956335390797905271146674788100948924512394379051967183774629961124122057<108>
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 254441326505499017750157309522265577580074542740078729667145635917702550939540600185366966708405399628774391462879905485355426851388257791335451149183 (150 digits)
Using B1=44800000, B2=240492041806, polynomial Dickson(12), sigma=1:2935055275
Step 1 took 85994ms
Step 2 took 31708ms
********** Factor found in step 2: 436460802398020245694722291279505536109319
Found prime factor of 42 digits: 436460802398020245694722291279505536109319
Prime cofactor 582964896521147817543101382231005957956335390797905271146674788100948924512394379051967183774629961124122057 has 108 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 17, 2023 16:19:06 UTC 2023 年 3 月 18 日 (土) 1 時 19 分 6 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovMarch 29, 2023 23:43:13 UTC 2023 年 3 月 30 日 (木) 8 時 43 分 13 秒 (日本時間)

29×10205+43

c140

name 名前Eric Jeancolas
date 日付August 18, 2023 10:25:51 UTC 2023 年 8 月 18 日 (金) 19 時 25 分 51 秒 (日本時間)
composite number 合成数
83383969986778875715596852475707892987356297276948424190851070891935441261119891008185524700513452089539986948526243062326042736747898595449<140>
prime factors 素因数
82081851400864335760411913486288255520468050019351577546801668002629<68>
1015863660038019420533234480492806383961570342810806677733186500236892581<73>
factorization results 素因数分解の結果
83383969986778875715596852475707892987356297276948424190851070891935441261119891008185524700513452089539986948526243062326042736747898595449=82081851400864335760411913486288255520468050019351577546801668002629*1015863660038019420533234480492806383961570342810806677733186500236892581

cado polynomial
n: 83383969986778875715596852475707892987356297276948424190851070891935441261119891008185524700513452089539986948526243062326042736747898595449
skew: 105807.644
c0: 31735884400919224888626681965100
c1: -411315763611266711790193023
c2: -11704599942378737352602
c3: 282991929201950651
c4: 592743703170
c5: 542160
Y0: -774934976205718789514560334
Y1: 68479671328409388247
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.482e-07
# f(x) = 542160*x^5+592743703170*x^4+282991929201950651*x^3-11704599942378737352602*x^2-411315763611266711790193023*x+31735884400919224888626681965100
# g(x) = 68479671328409388247*x-774934976205718789514560334

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 82081851400864335760411913486288255520468050019351577546801668002629 1015863660038019420533234480492806383961570342810806677733186500236892581
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3851.63/599.416
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 103.66/26.1
Info:Linear Algebra: Total cpu/real time for bwc: 59281.3/15498.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 37853.2, WCT time 9870.72, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62720 iterations)
Info:Linear Algebra: Lingen CPU time 366.57, WCT time 95.01
Info:Linear Algebra: Mksol: CPU time 20658.05,  WCT time 5377.01, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31488 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 743.17/93.93
Info:Square Root: Total cpu/real time for sqrt: 3851.63/599.416
Info:Generate Factor Base: Total cpu/real time for makefb: 16.14/2.27211
Info:Filtering - Merging: Merged matrix has 2004956 rows and total weight 340939501 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1071.86/151.963
Info:Filtering - Merging: Total cpu/real time for replay: 77.24/67.007
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 305.54/247.823
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 247.20000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 488.36/399.924
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33539431
Info:Lattice Sieving: Average J: 3790.62 for 968586 special-q, max bucket fill -bkmult 1.0,1s:1.125110
Info:Lattice Sieving: Total time: 598347s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 12988.4
Info:Polynomial Selection (root optimized): Rootsieve time: 12983.9
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 905.47/735.902
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 550.8000000000001s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48233/43.030/50.367/55.690/0.935
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39919/41.050/44.916/51.340/1.003
Info:Polynomial Selection (size optimized): Total time: 38100
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.22967e+06/173899
82081851400864335760411913486288255520468050019351577546801668002629 1015863660038019420533234480492806383961570342810806677733186500236892581
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)]
Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz (8 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 SantosFebruary 23, 2023 16:03:11 UTC 2023 年 2 月 24 日 (金) 1 時 3 分 11 秒 (日本時間)
4511e64480Ignacio SantosMarch 3, 2023 13:21:31 UTC 2023 年 3 月 3 日 (金) 22 時 21 分 31 秒 (日本時間)
5043e66454Ignacio SantosApril 8, 2023 09:44:13 UTC 2023 年 4 月 8 日 (土) 18 時 44 分 13 秒 (日本時間)

29×10206+43

c200

name 名前Bob Backstrom
date 日付June 9, 2024 00:55:02 UTC 2024 年 6 月 9 日 (日) 9 時 55 分 2 秒 (日本時間)
composite number 合成数
33816233816541660877094221869103002708983508732307754594145257842252819772487177467175281480499903752002095953493489815273342215108841396592732252342613767255782774215723410633512391457468949584286543<200>
prime factors 素因数
2048787116132520260745364258141848244791190724390025760793<58>
16505489296699750005537301549260314837980305697665239052189765388351955169625649851826140593458447355468070191530579743090619190291874373667751<143>
factorization results 素因数分解の結果
Number: n
N=33816233816541660877094221869103002708983508732307754594145257842252819772487177467175281480499903752002095953493489815273342215108841396592732252342613767255782774215723410633512391457468949584286543  ( 200 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Jun  8 07:27:29 2024  prp58 factor: 2048787116132520260745364258141848244791190724390025760793
Sat Jun  8 07:27:29 2024  prp143 factor: 16505489296699750005537301549260314837980305697665239052189765388351955169625649851826140593458447355468070191530579743090619190291874373667751
Sat Jun  8 07:27:29 2024  elapsed time 02:12:49 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.938).
Factorization parameters were as follows:
#
# N = 29x10^206+4 = 96(205)8
#
n: 33816233816541660877094221869103002708983508732307754594145257842252819772487177467175281480499903752002095953493489815273342215108841396592732252342613767255782774215723410633512391457468949584286543
m: 100000000000000000000000000000000000000000
deg: 5
c5: 145
c0: 2
skew: 0.42
# Murphy_E = 9.81e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35550000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4081666 hash collisions in 21605884 relations (17881511 unique)
Msieve: matrix is 2030973 x 2031198 (575.5 MB)

Sieving start time: 2024/06/07 16:09:44
Sieving end time  : 2024/06/08 05:09:45

Total sieving time: 13hrs 0min 1secs.

Total relation processing time: 2hrs 1min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 5sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 19, 2023 00:24:07 UTC 2023 年 3 月 19 日 (日) 9 時 24 分 7 秒 (日本時間)
2350Ignacio SantosMay 29, 2024 14:56:26 UTC 2024 年 5 月 29 日 (水) 23 時 56 分 26 秒 (日本時間)
4511e64480Ignacio SantosMay 30, 2024 07:20:55 UTC 2024 年 5 月 30 日 (木) 16 時 20 分 55 秒 (日本時間)

29×10207+43

c173

name 名前Dmitry Domanov
date 日付March 17, 2023 22:28:01 UTC 2023 年 3 月 18 日 (土) 7 時 28 分 1 秒 (日本時間)
composite number 合成数
57105284401596987278529838771217848177930295954778976311980861598830118353119655499106963992405650947689276774416207714727235949504437802051855730388895516093106975403462849<173>
prime factors 素因数
21432359448966590147665838321885437871<38>
2664442267197531915620579944227777683495269834617483916546861940345054192777204424458257223092307283897945144960043517750471261504242319<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:911236797
Step 1 took 8111ms
Step 2 took 4171ms
********** Factor found in step 2: 21432359448966590147665838321885437871
Found prime factor of 38 digits: 21432359448966590147665838321885437871
Prime cofactor 2664442267197531915620579944227777683495269834617483916546861940345054192777204424458257223092307283897945144960043517750471261504242319 has 136 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 17, 2023 16:19:16 UTC 2023 年 3 月 18 日 (土) 1 時 19 分 16 秒 (日本時間)

29×10209+43

c204

composite cofactor 合成数の残り
111406196673887324848330067210974294057347607463569789528339969301062108263158954207750582884904183755993077142106824866539217977671739567040177069777312074265061003728342827446245741786251614813612823053<204>

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 28, 2023 21:07:55 UTC 2023 年 3 月 29 日 (水) 6 時 7 分 55 秒 (日本時間)
1200Dmitry DomanovNovember 3, 2023 06:49:59 UTC 2023 年 11 月 3 日 (金) 15 時 49 分 59 秒 (日本時間)

29×10212+43

c130

name 名前Norman Powell
date 日付March 6, 2023 23:07:36 UTC 2023 年 3 月 7 日 (火) 8 時 7 分 36 秒 (日本時間)
composite number 合成数
8959787058596107166820726354162596134397233148598605398481282796237352442527132600018679846344179748363975424509515513965157623317<130>
prime factors 素因数
152610692948611973663275509038651123219724436243282597921247<60>
58710086989861861536053267166170643393064729076707126523849674223836811<71>
factorization results 素因数分解の結果
n: 8959787058596107166820726354162596134397233148598605398481282796237352442527132600018679846344179748363975424509515513965157623317
skew: 344747.91
c0: -5857708945698748438837016999256
c1: 226335902382018890098608090
c2: 1362451270922570584583
c3: -19064209096783354
c4: -11634264032
c5: 8784
Y0: -15911880225739184397952115
Y1: 59311351456363
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5

nfs: commencing nfs on c130: 8959787058596107166820726354162596134397233148598605398481282796237352442527132600018679846344179748363975424509515513965157623317
nfs: commencing poly selection with 7 threads
nfs: setting deadline of 7986 seconds
nfs: completed 35 ranges of size 250 in 8491.7187 seconds
nfs: best poly = # norm 1.777897e-012 alpha -6.516037 e 7.533e-011 rroots 5
nfs: commencing lattice sieving with 7 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp71 = 58710086989861861536053267166170643393064729076707126523849674223836811
prp60 = 152610692948611973663275509038651123219724436243282597921247
NFS elapsed time = 84247.0604 seconds.
software ソフトウェア
YAFU, v1.50 r373
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)
403e62350Ignacio SantosFebruary 25, 2023 19:54:00 UTC 2023 年 2 月 26 日 (日) 4 時 54 分 0 秒 (日本時間)

29×10213+43

c184

name 名前Dmitry Domanov
date 日付March 19, 2023 21:09:11 UTC 2023 年 3 月 20 日 (月) 6 時 9 分 11 秒 (日本時間)
composite number 合成数
1673722963408137495683697418643762124375562182420536517244461651791979277265221128739616906074110612239429061385172618162816165225210088551558955163586191146691404589321564555717103231<184>
prime factors 素因数
2598302825414496464676448032081929839<37>
644160082896086378475758273058955007436456916474303084824589223466880372455198653931522659278720563860365494987614269842472396484969738850738086129<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3396257362
Step 1 took 9416ms
Step 2 took 5138ms
********** Factor found in step 2: 2598302825414496464676448032081929839
Found prime factor of 37 digits: 2598302825414496464676448032081929839
Prime cofactor 644160082896086378475758273058955007436456916474303084824589223466880372455198653931522659278720563860365494987614269842472396484969738850738086129 has 147 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 19, 2023 01:33:07 UTC 2023 年 3 月 19 日 (日) 10 時 33 分 7 秒 (日本時間)

29×10214+43

c193

composite cofactor 合成数の残り
5244951147982405518577324247853997020757882013472531760210861104953474829211950743310035759278332673331881960774298227168211106095467619304177986915486704081594243948465215125792012568717545069<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)
403e61792Dmitry DomanovMarch 19, 2023 00:23:35 UTC 2023 年 3 月 19 日 (日) 9 時 23 分 35 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 30, 2023 05:32:35 UTC 2023 年 3 月 30 日 (木) 14 時 32 分 35 秒 (日本時間)

29×10216+43

c189

name 名前Dmitry Domanov
date 日付March 19, 2023 15:40:39 UTC 2023 年 3 月 20 日 (月) 0 時 40 分 39 秒 (日本時間)
composite number 合成数
147668726850298923644610984481945236319217502777138572222755857558046688882721052697415718984723968015727338975666716158291152649723779725737512985378044201764577925299885514902743727345181<189>
prime factors 素因数
353701500107065618227376459395541855609<39>
composite cofactor 合成数の残り
417495336620284413049742766169035428889232710971830423845351387793341796348120421439877784849898811458254664291140960434676128002953263256054077018309<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:803411001
Step 1 took 16389ms
Step 2 took 7725ms
********** Factor found in step 2: 353701500107065618227376459395541855609
Found prime factor of 39 digits: 353701500107065618227376459395541855609
Composite cofactor 417495336620284413049742766169035428889232710971830423845351387793341796348120421439877784849898811458254664291140960434676128002953263256054077018309 has 150 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 19, 2023 00:28:54 UTC 2023 年 3 月 19 日 (日) 9 時 28 分 54 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovMarch 29, 2023 23:43:26 UTC 2023 年 3 月 30 日 (木) 8 時 43 分 26 秒 (日本時間)

29×10221+43

c219

composite cofactor 合成数の残り
836216839677047289504036908881199538638985005767012687427912341407151095732410611303344867358708189158016147635524798154555940023068050749711649365628604382929642445213379469434832756632064590542099192618223760092272203<219>

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 29, 2023 09:12:39 UTC 2023 年 3 月 29 日 (水) 18 時 12 分 39 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 14:31:12 UTC 2024 年 9 月 22 日 (日) 23 時 31 分 12 秒 (日本時間)

29×10223+43

c169

composite cofactor 合成数の残り
1818246139873494887285876646759674524242605538974582141093591067350875335378476429360878323215068444325595256588125968387310792697010754036971637610315701081279891135869<169>

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 17, 2023 16:19:23 UTC 2023 年 3 月 18 日 (土) 1 時 19 分 23 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovMarch 30, 2023 05:30:23 UTC 2023 年 3 月 30 日 (木) 14 時 30 分 23 秒 (日本時間)

29×10226+43

c175

composite cofactor 合成数の残り
6766819828052555076710868235656079380583028471328041483057890699570006140051724877896535542017295251540482066947766261292006879205682818749212814180526123424724306710363984107<175>

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 17, 2023 16:19:30 UTC 2023 年 3 月 18 日 (土) 1 時 19 分 30 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovMarch 30, 2023 05:31:36 UTC 2023 年 3 月 30 日 (木) 14 時 31 分 36 秒 (日本時間)

29×10227+43

c228

composite cofactor 合成数の残り
241666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<228>

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 29, 2023 09:12:52 UTC 2023 年 3 月 29 日 (水) 18 時 12 分 52 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 14:31:29 UTC 2024 年 9 月 22 日 (日) 23 時 31 分 29 秒 (日本時間)

29×10228+43

c159

composite cofactor 合成数の残り
873933107366884822088447777773444571322329053989491238687228409333572413493927893147239161441670597347029664864705423980844009894399984515195326596534037786627<159>

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 17, 2023 16:19:40 UTC 2023 年 3 月 18 日 (土) 1 時 19 分 40 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovMarch 29, 2023 23:43:33 UTC 2023 年 3 月 30 日 (木) 8 時 43 分 33 秒 (日本時間)

29×10229+43

c204

composite cofactor 合成数の残り
100103421202008943059414283509604359736702297084713823543719132076815284865975388444529051093785772033806553997826192256161869453553953743762719092430461054709761429094172658378917757006945524936828351947<204>

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 28, 2023 21:09:09 UTC 2023 年 3 月 29 日 (水) 6 時 9 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 14:31:48 UTC 2024 年 9 月 22 日 (日) 23 時 31 分 48 秒 (日本時間)

29×10230+43

c226

name 名前Ignacio Santos
date 日付September 22, 2024 14:32:11 UTC 2024 年 9 月 22 日 (日) 23 時 32 分 11 秒 (日本時間)
composite number 合成数
1055271481324605874296061144612948253853196453705604001007238434588451400017757671823669229884706132364521336133805512738218439741087322623419458041678129098274158075301261813582290070113692766077606848056917704835472259459963<226>
prime factors 素因数
751462967113094274558103721899156804333<39>
composite cofactor 合成数の残り
1404289402814694903009239743002787786325604448212192030633483439978090002870674438232652372141217121305399183523849876715156278816207280694680858248766204792736377248067759308731656463111<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3353066923
Step 1 took 7594ms
********** Factor found in step 2: 751462967113094274558103721899156804333
Found prime factor of 39 digits: 751462967113094274558103721899156804333
Composite cofactor 1404289402814694903009239743002787786325604448212192030633483439978090002870674438232652372141217121305399183523849876715156278816207280694680858248766204792736377248067759308731656463111 has 187 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)
403e641421792Dmitry DomanovMarch 29, 2023 09:13:06 UTC 2023 年 3 月 29 日 (水) 18 時 13 分 6 秒 (日本時間)
2350Ignacio SantosSeptember 27, 2024 16:12:11 UTC 2024 年 9 月 28 日 (土) 1 時 12 分 11 秒 (日本時間)

29×10231+43

c189

composite cofactor 合成数の残り
572986396783839214103010184735510068218478431766241139126413097072628279746074883826380471722608065230449544360495791521561362195364633055748669441152525825320868148075364339227395148726247<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)
403e61000Dmitry DomanovMarch 19, 2023 00:29:03 UTC 2023 年 3 月 19 日 (日) 9 時 29 分 3 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovMarch 30, 2023 05:32:17 UTC 2023 年 3 月 30 日 (木) 14 時 32 分 17 秒 (日本時間)

29×10232+43

c220

name 名前Dmitry Domanov
date 日付March 29, 2023 20:06:24 UTC 2023 年 3 月 30 日 (木) 5 時 6 分 24 秒 (日本時間)
composite number 合成数
3693934750733943492695120772406208620448212657340034846164011010433344727324346514215619954906258596821671993525764091235141122083573843236042526463540921259952187320938577214890315069069526783138261898466922682969337399<220>
prime factors 素因数
25713276433947772089909945163857704748019<41>
143658656656335408030040934137464942167313835567129727629374265671890475851230620049961208169670439818136761331847617118466551560860146378077175904623472752100989142157402542191021<180>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f33ee09baadc with GMP-ECM 7.0.5-dev on Wed Mar 29 09:29:16 2023 
Input number is 3693934750733943492695120772406208620448212657340034846164011010433344727324346514215619954906258596821671993525764091235141122083573843236042526463540921259952187320938577214890315069069526783138261898466922682969337399 (220 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:296902603
Step 1 took 0ms
Step 2 took 5626ms
********** Factor found in step 2: 25713276433947772089909945163857704748019
Found prime factor of 41 digits: 25713276433947772089909945163857704748019
Prime cofactor 143658656656335408030040934137464942167313835567129727629374265671890475851230620049961208169670439818136761331847617118466551560860146378077175904623472752100989142157402542191021 has 180 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 29, 2023 09:13:17 UTC 2023 年 3 月 29 日 (水) 18 時 13 分 17 秒 (日本時間)

29×10233+43

c139

name 名前ebina
date 日付May 21, 2023 21:10:39 UTC 2023 年 5 月 22 日 (月) 6 時 10 分 39 秒 (日本時間)
composite number 合成数
4560894943281764255906845824740808981912667766753382993314164363631383764028128396723641463997560093106147732966595324429317223629195251041<139>
prime factors 素因数
172845179999379109100473941836259655523534811347138705941<57>
26387168813721897300737825391858209692924141292227693374393450150556923631816611101<83>
factorization results 素因数分解の結果
Number: 96668_233
N = 4560894943281764255906845824740808981912667766753382993314164363631383764028128396723641463997560093106147732966595324429317223629195251041 (139 digits)
Divisors found:
r1=172845179999379109100473941836259655523534811347138705941 (pp57)
r2=26387168813721897300737825391858209692924141292227693374393450150556923631816611101 (pp83)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 117.88 hours.
Factorization parameters were as follows:
n: 4560894943281764255906845824740808981912667766753382993314164363631383764028128396723641463997560093106147732966595324429317223629195251041
# norm 1.927890e-13 alpha -6.021669 e 2.138e-11 rroots 5
skew: 3671604.75
c0: 75386731419464936753694247593337440
c1: 21867576028891131459606520368
c2: -136525625287446033081302
c3: -4798206063523465
c4: 10870606806
c5: 108
Y0: -2114090279800020526686572363
Y1: 419121503452501
type: gnfs
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 24847929
Relations: 3903398 relations
Pruned matrix : 2403694 x 2403919
Polynomial selection time: 0.40 hours.
Total sieving time: 107.06 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 9.91 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,11600000,11600000,28,28,56,56,2.5,2.5,100000
total time: 117.88 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
processors: 4, speed: 3.39GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 SantosFebruary 22, 2023 16:03:07 UTC 2023 年 2 月 23 日 (木) 1 時 3 分 7 秒 (日本時間)
4511e64480Ignacio SantosMarch 2, 2023 13:10:29 UTC 2023 年 3 月 2 日 (木) 22 時 10 分 29 秒 (日本時間)
5043e66454Ignacio SantosApril 12, 2023 13:39:13 UTC 2023 年 4 月 12 日 (水) 22 時 39 分 13 秒 (日本時間)

29×10234+43

c212

composite cofactor 合成数の残り
97833623404469251096306876433076986707659413394129922922442170535502110882984036766659645779335028976343133257990414976871238153971737621090359662320891959781138551101913534429878919965124434946850564672485447951<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)
403e641421792Dmitry DomanovMarch 29, 2023 09:13:25 UTC 2023 年 3 月 29 日 (水) 18 時 13 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 14:56:44 UTC 2024 年 9 月 22 日 (日) 23 時 56 分 44 秒 (日本時間)

29×10235+43

c197

composite cofactor 合成数の残り
21699015514405154141926337295783248060553312043435169875974410309971646423687345923127109261576747135654891863754465622056093574960141260541996228750038062266620279141806907220826048064308752916713<197>

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)
403e61792Dmitry DomanovMarch 19, 2023 00:23:13 UTC 2023 年 3 月 19 日 (日) 9 時 23 分 13 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 30, 2023 05:31:10 UTC 2023 年 3 月 30 日 (木) 14 時 31 分 10 秒 (日本時間)

29×10237+43

c209

composite cofactor 合成数の残り
10503806651135316377701904535700629484496805069625632234368348735126033270380598673161660984649313572306785564062468094713574685592041249845964635021573200889231731328128400896237073917941240084351662842906073<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 28, 2023 21:09:16 UTC 2023 年 3 月 29 日 (水) 6 時 9 分 16 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 16:32:03 UTC 2024 年 9 月 23 日 (月) 1 時 32 分 3 秒 (日本時間)

29×10241+43

c199

name 名前Seth Troisi
date 日付December 6, 2023 07:33:11 UTC 2023 年 12 月 6 日 (水) 16 時 33 分 11 秒 (日本時間)
composite number 合成数
7879192104572539213913089188186042467705232886514023321883051884445238146652871070963821011705253047977182034560016364187578141371807718266393556620649014698847876176766358682761135626420399990188969<199>
prime factors 素因数
3441260105879712888719733308936098190451103<43>
2289624109235511383901964963539664554324335182221320622764056980563745274132341421937991002495348423544271443928625522705270384737672576627766068450851831223<157>
factorization results 素因数分解の結果
Input number is 787919210457253921391308918818604246770523288651402332188305188444523814665287107096382101170525304797718203456001636418757814137180771826639355662064901469884787617676635868276113
5626420399990188969 (199 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9600MB of memory
Using B1=4000000000-4000000000, B2=8344907294582686, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.53    0.28    0.12    0.045   0.015   0.0045  0.0012  0.00031 7.3e-05
Step 1 took 0ms
Computing F from factored S_1 took 167964ms
Computing h took 20060ms
Computing DCT-I of h took 53259ms
Multi-point evaluation 1 of 5:
Computing g_i took 66743ms
Computing g*h took 106939ms
Computing gcd of coefficients and N took 23380ms
Step 2 took 439684ms
********** Factor found in step 2: 3441260105879712888719733308936098190451103
Found prime factor of 43 digits: 3441260105879712888719733308936098190451103
Prime cofactor 2289624109235511383901964963539664554324335182221320622764056980563745274132341421937991002495348423544271443928625522705270384737672576627766068450851831223 has 157 digits
execution environment 実行環境
1080 TI for stage 1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 19, 2023 00:22:54 UTC 2023 年 3 月 19 日 (日) 9 時 22 分 54 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 30, 2023 05:31:01 UTC 2023 年 3 月 30 日 (木) 14 時 31 分 1 秒 (日本時間)

29×10242+43

c210

composite cofactor 合成数の残り
903628634820791859947504265647226798094977620325366536199983190029818952851347285211579760215130520879812498405191233065367950620131401429527267060515932476802530940195507678359157949760178342479620787554118757<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 28, 2023 21:09:24 UTC 2023 年 3 月 29 日 (水) 6 時 9 分 24 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 16:43:09 UTC 2024 年 9 月 23 日 (月) 1 時 43 分 9 秒 (日本時間)

29×10243+43

c201

composite cofactor 合成数の残り
564771769018391248778909763145085164537869418430318533166702771413959355927223070630538091035077181533524188670782407484815858328071342626332564214491275653147603350470763663692113990506753477790735843<201>

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 28, 2023 21:09:32 UTC 2023 年 3 月 29 日 (水) 6 時 9 分 32 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 16:53:42 UTC 2024 年 9 月 23 日 (月) 1 時 53 分 42 秒 (日本時間)

29×10247+43

c190

name 名前Dmitry Domanov
date 日付April 1, 2023 08:37:05 UTC 2023 年 4 月 1 日 (土) 17 時 37 分 5 秒 (日本時間)
composite number 合成数
2098234806745335226606882600596995151510699047345920106915363810435382373908862509907732752657765532267193107802984383785324450029678161200030099284225631136504266855794636682846265493335123<190>
prime factors 素因数
739273373864026082599096488972896458838667931<45>
2838239386031589654474872331392926790165165069223900038758312746929711585040152580567448222617094611865302141663862941934583790628022650516491433<145>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3316269088
Step 1 took 30428ms
Step 2 took 13997ms
********** Factor found in step 2: 739273373864026082599096488972896458838667931
Found prime factor of 45 digits: 739273373864026082599096488972896458838667931
Prime cofactor 2838239386031589654474872331392926790165165069223900038758312746929711585040152580567448222617094611865302141663862941934583790628022650516491433 has 145 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 19, 2023 00:29:16 UTC 2023 年 3 月 19 日 (日) 9 時 29 分 16 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovMarch 30, 2023 05:30:53 UTC 2023 年 3 月 30 日 (木) 14 時 30 分 53 秒 (日本時間)

29×10248+43

c186

composite cofactor 合成数の残り
435383013120318899672886786690842012866874577048897725427105983525501651591926902377831859749348643805352192719610931508981198914547433982617247657502672713714940216858361699482144158649<186>

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 19, 2023 01:33:01 UTC 2023 年 3 月 19 日 (日) 10 時 33 分 1 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovMarch 30, 2023 05:30:45 UTC 2023 年 3 月 30 日 (木) 14 時 30 分 45 秒 (日本時間)

29×10249+43

c226

composite cofactor 合成数の残り
1022944167556674132548915620712112163411353077009217047345245468048906223194949927425649092029970202729447098586200321403618508173062418143870419502129622819533103632392977012564679429789186872637859942278734810420777652265187<226>

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 29, 2023 09:13:33 UTC 2023 年 3 月 29 日 (水) 18 時 13 分 33 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 15:08:56 UTC 2024 年 9 月 23 日 (月) 0 時 8 分 56 秒 (日本時間)

29×10250+43

c245

composite cofactor 合成数の残り
63271309995383376139647199175465742294645327217397603020965057655435790965555098838513290029576064768876449894795083862848744915386622612380755398351804192313364907898790339823660677273556345065143268063522649819916761137277797704604144139898539<245>

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 21:04:14 UTC 2023 年 3 月 29 日 (水) 6 時 4 分 14 秒 (日本時間)
2350Ignacio SantosSeptember 22, 2024 15:12:38 UTC 2024 年 9 月 23 日 (月) 0 時 12 分 38 秒 (日本時間)

29×10251+43

c245

composite cofactor 合成数の残り
13783916443381479507793644998521128357864236712394856998331081421632455651484642825358368043611475085723126976316550816176112290285553887099609785881022214482949228816492210765854740753715578257254004669762743435134115510702754823120696554342197<245>

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 21:04:32 UTC 2023 年 3 月 29 日 (水) 6 時 4 分 32 秒 (日本時間)
411Thomas KozlowskiOctober 3, 2024 21:08:23 UTC 2024 年 10 月 4 日 (金) 6 時 8 分 23 秒 (日本時間)

29×10253+43

c237

composite cofactor 合成数の残り
893145203616670484168050026168559720245353214386813165008043839198824911716272188570145428036953878310362137099671002580626836759893305211689710280215001522580350430855983922499291620686322182058898562479131287662391682350261993789415099<237>

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)
403e621931792Dmitry DomanovMarch 28, 2023 21:04:40 UTC 2023 年 3 月 29 日 (水) 6 時 4 分 40 秒 (日本時間)
401Thomas KozlowskiOctober 3, 2024 21:11:42 UTC 2024 年 10 月 4 日 (金) 6 時 11 分 42 秒 (日本時間)

29×10254+43

c229

composite cofactor 合成数の残り
2871228884145983855069624966195954861390720979174997843556087023744332985368879719825370506492421294933215551140985507817587238832887026825196353366739148135671976993355684253262946258658230311552053868534349970806907328165087071<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)
403e621991792Dmitry DomanovMarch 29, 2023 09:14:39 UTC 2023 年 3 月 29 日 (水) 18 時 14 分 39 秒 (日本時間)
407Thomas KozlowskiOctober 3, 2024 21:14:36 UTC 2024 年 10 月 4 日 (金) 6 時 14 分 36 秒 (日本時間)

29×10255+43

c210

composite cofactor 合成数の残り
544031984712258133053190691070555057064645253980130671584224224310386546196037020131987704616636269456947017369933850094733191478458918184582540871211459106064694402440610077797782886265753882165042642019634003<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)
403e622061000Dmitry DomanovMarch 28, 2023 21:09:40 UTC 2023 年 3 月 29 日 (水) 6 時 9 分 40 秒 (日本時間)
1206Thomas KozlowskiOctober 3, 2024 21:21:30 UTC 2024 年 10 月 4 日 (金) 6 時 21 分 30 秒 (日本時間)

29×10256+43

c241

composite cofactor 合成数の残り
8745494930334599607452610868226860792325915909182100015667574664951193856376194268384265106111421351645256708411641422798759798805087807948960633657327684635619077673191899317670326712179036606080127231501116087733589861197142473766344335841<241>

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 21:04:48 UTC 2023 年 3 月 29 日 (水) 6 時 4 分 48 秒 (日本時間)
400Thomas KozlowskiOctober 3, 2024 21:24:48 UTC 2024 年 10 月 4 日 (金) 6 時 24 分 48 秒 (日本時間)

29×10257+43

c243

composite cofactor 合成数の残り
326965041464296657049901700379188927371042914533947732974335868918975729843782958931443975174961955475693022216416997363241886052590393400211463889940354670329025337483331486354637908235717814193160320960550784105596179981910051320722861912631<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)
403e621941792Dmitry DomanovMarch 28, 2023 21:04:56 UTC 2023 年 3 月 29 日 (水) 6 時 4 分 56 秒 (日本時間)
402Thomas KozlowskiOctober 3, 2024 21:28:06 UTC 2024 年 10 月 4 日 (金) 6 時 28 分 6 秒 (日本時間)

29×10259+43

c193

composite cofactor 合成数の残り
6590194011185557767595769896830324897950073753420265727402092267072928753677868530297109559937806266168633044838310695466014762100359400325423594385884979748957730543528702926807545543206779943<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)
403e61000Dmitry DomanovMarch 19, 2023 00:29:27 UTC 2023 年 3 月 19 日 (日) 9 時 29 分 27 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovMarch 30, 2023 05:31:26 UTC 2023 年 3 月 30 日 (木) 14 時 31 分 26 秒 (日本時間)

29×10261+43

c184

composite cofactor 合成数の残り
2899597379960396579077808854230387967601763436149825310818567824700954681107546849508942106886059904495024838926523506688017225032687699145188068272433258550507343841968232794710713131<184>

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 19, 2023 01:32:54 UTC 2023 年 3 月 19 日 (日) 10 時 32 分 54 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovMarch 30, 2023 05:31:18 UTC 2023 年 3 月 30 日 (木) 14 時 31 分 18 秒 (日本時間)

29×10262+43

c246

composite cofactor 合成数の残り
190205368760106424264771188316599452225391569615415029457488684270502525812331576134088414862097650144745851368900826461742762042097466291287386059404787584116673675875435474219000403036021960548575494393066773185193830164136091779698804744571557<246>

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 21:05:04 UTC 2023 年 3 月 29 日 (水) 6 時 5 分 4 秒 (日本時間)
400Thomas KozlowskiOctober 3, 2024 21:31:23 UTC 2024 年 10 月 4 日 (金) 6 時 31 分 23 秒 (日本時間)

29×10263+43

c263

composite cofactor 合成数の残り
10507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942029<263>

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)
403e621951792Dmitry DomanovMarch 22, 2023 06:44:10 UTC 2023 年 3 月 22 日 (水) 15 時 44 分 10 秒 (日本時間)
403Thomas KozlowskiOctober 3, 2024 21:35:04 UTC 2024 年 10 月 4 日 (金) 6 時 35 分 4 秒 (日本時間)

29×10264+43

c230

composite cofactor 合成数の残り
53069122746023936591090844074755848384725337299929075940708679479358608442816753130432075106085044735561514299718660862999489286932909613157058700632447204925316532482228449496562460987396466781224639419527930795429113965887642333<230>

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 28, 2023 21:05:14 UTC 2023 年 3 月 29 日 (水) 6 時 5 分 14 秒 (日本時間)
415Thomas KozlowskiOctober 3, 2024 21:38:01 UTC 2024 年 10 月 4 日 (金) 6 時 38 分 1 秒 (日本時間)

29×10265+43

c262

composite cofactor 合成数の残り
5983329206899397540645374267557976396797887265824874143764958323017248493851613435668894940991994718164562185359412395807543121234629033589172237352479986795411405463398530989518857803086572583972930593381199966988528513658496327473797144507716431459932326483453<262>

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)
403e621951792Dmitry DomanovMarch 22, 2023 06:44:19 UTC 2023 年 3 月 22 日 (水) 15 時 44 分 19 秒 (日本時間)
403Thomas KozlowskiOctober 3, 2024 21:41:41 UTC 2024 年 10 月 4 日 (金) 6 時 41 分 41 秒 (日本時間)

29×10267+43

c226

composite cofactor 合成数の残り
1157805895727137386420224914453161956682966975557813496175045947972487322127174453341496390092723941835230036717843756203061512308408555680643597188277230139179249048229793691034301754352898402651779648570229356788842485408041<226>

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 29, 2023 09:16:08 UTC 2023 年 3 月 29 日 (水) 18 時 16 分 8 秒 (日本時間)
406Thomas KozlowskiOctober 3, 2024 21:44:36 UTC 2024 年 10 月 4 日 (金) 6 時 44 分 36 秒 (日本時間)

29×10268+43

c251

composite cofactor 合成数の残り
46496169000215410951734167077033604142683325959482204855548033741508542803882196862405315094693013915380120151308397376715713661455711819643888095387613642760220697103909934955006573828743771659812367741065955914262555072057595945639903673792035575139<251>

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 22, 2023 06:44:25 UTC 2023 年 3 月 22 日 (水) 15 時 44 分 25 秒 (日本時間)
409Thomas KozlowskiOctober 3, 2024 21:48:20 UTC 2024 年 10 月 4 日 (金) 6 時 48 分 20 秒 (日本時間)

29×10270+43

c221

composite cofactor 合成数の残り
18593043283109818678547675576691077138725177690094533802177507923014306874652660621008947725366448679584277606800162919315317497813908145990073919119525318149079140426732606143183368867068122864932195784613566376941289081<221>

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 29, 2023 09:16:25 UTC 2023 年 3 月 29 日 (水) 18 時 16 分 25 秒 (日本時間)
404Thomas KozlowskiOctober 3, 2024 21:51:14 UTC 2024 年 10 月 4 日 (金) 6 時 51 分 14 秒 (日本時間)

29×10272+43

c238

composite cofactor 合成数の残り
1743572581676911282195140583949384142820747054231419052958701389815293033791965159478412010147551918573016876539944188958654269766969940039812476195576061894449907596356692805767505948238196546350706599199752343581768393457719681158557371<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)
403e621951792Dmitry DomanovMarch 28, 2023 21:05:21 UTC 2023 年 3 月 29 日 (水) 6 時 5 分 21 秒 (日本時間)
403Thomas KozlowskiOctober 3, 2024 21:54:33 UTC 2024 年 10 月 4 日 (金) 6 時 54 分 33 秒 (日本時間)

29×10273+43

c156

composite cofactor 合成数の残り
228236930712368089859357813200408656773062039479463276528228407330233710091414225423585415928566143787558768499773483899953612039864327914066558028534693397<156>

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 SantosFebruary 28, 2023 16:58:48 UTC 2023 年 3 月 1 日 (水) 1 時 58 分 48 秒 (日本時間)
4511e64480Ignacio SantosMarch 4, 2023 16:23:10 UTC 2023 年 3 月 5 日 (日) 1 時 23 分 10 秒 (日本時間)
5043e66454Ignacio SantosOctober 14, 2024 11:51:45 UTC 2024 年 10 月 14 日 (月) 20 時 51 分 45 秒 (日本時間)

29×10274+43

c214

composite cofactor 合成数の残り
1549493038432399801552224895017285146274718295726122036108986103554006270190040628507864962792765756743412057898050736394645736869233387017486739689854162331752944996518757635953700981739689300949686160127499269577<214>

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)
403e621941792Dmitry DomanovMarch 29, 2023 09:16:35 UTC 2023 年 3 月 29 日 (水) 18 時 16 分 35 秒 (日本時間)
402Thomas KozlowskiOctober 3, 2024 21:57:26 UTC 2024 年 10 月 4 日 (金) 6 時 57 分 26 秒 (日本時間)

29×10275+43

c251

composite cofactor 合成数の残り
11801522438612844260159630460210644147170818807456898213586232420605840977198716918602970867126003386953840389649290223641132834971403070923219692441293670619166663589492917021583794123037308561838221869994600847256115408736061131301683237844293672183<251>

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 22, 2023 06:44:32 UTC 2023 年 3 月 22 日 (水) 15 時 44 分 32 秒 (日本時間)
409Thomas KozlowskiOctober 3, 2024 22:00:49 UTC 2024 年 10 月 4 日 (金) 7 時 0 分 49 秒 (日本時間)

29×10276+43

c273

composite cofactor 合成数の残り
372999948551731234243967690487215105211709625971086072953645109842053814889128980809795750372999948551731234243967690487215105211709625971086072953645109842053814889128980809795750372999948551731234243967690487215105211709625971086072953645109842053814889128980809795750373<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)
403e621961792Dmitry DomanovMarch 22, 2023 06:44:40 UTC 2023 年 3 月 22 日 (水) 15 時 44 分 40 秒 (日本時間)
404Thomas KozlowskiOctober 3, 2024 22:04:56 UTC 2024 年 10 月 4 日 (金) 7 時 4 分 56 秒 (日本時間)

29×10277+43

c166

composite cofactor 合成数の残り
1863070972569301079703098329318045474573750642513058570934869774894814344019146707185349279923894211478452820142535952035560324304408948273725338231186135892339274489<166>

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 10:50:50 UTC 2023 年 3 月 1 日 (水) 19 時 50 分 50 秒 (日本時間)
4511e64480Ignacio SantosMarch 9, 2023 09:35:49 UTC 2023 年 3 月 9 日 (木) 18 時 35 分 49 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovSeptember 13, 2024 05:24:13 UTC 2024 年 9 月 13 日 (金) 14 時 24 分 13 秒 (日本時間)

29×10278+43

c270

name 名前Dmitry Domanov
date 日付March 24, 2023 05:57:11 UTC 2023 年 3 月 24 日 (金) 14 時 57 分 11 秒 (日本時間)
composite number 合成数
860512958563750366054794357859373388967668157878651965217002739527867969130060199124621413021315085207702362948287979380656729555600497674642953559731016847641384365094127186234207321687445306909085962031583168548365783045552459366628540482795934741655013273780329317787<270>
prime factors 素因数
362569961029762460966058805115359900231<39>
composite cofactor 合成数の残り
2373370800271876384855056672562694085849708445430416168147470496908909492328608347365798695045821945186141289602987156906482492774886228423197649950655583719911606073286935338820572508434645721141452295618124438363293979916007000077<232>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1b01e02b26e9 with GMP-ECM 7.0.5-dev on Wed Mar 22 08:20:40 2023 
Input number is 860512958563750366054794357859373388967668157878651965217002739527867969130060199124621413021315085207702362948287979380656729555600497674642953559731016847641384365094127186234207321687445306909085962031583168548365783045552459366628540482795934741655013273780329317787 (270 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2358462622
Step 1 took 0ms
Step 2 took 5923ms
********** Factor found in step 2: 362569961029762460966058805115359900231
Found prime factor of 39 digits: 362569961029762460966058805115359900231
Composite cofactor 2373370800271876384855056672562694085849708445430416168147470496908909492328608347365798695045821945186141289602987156906482492774886228423197649950655583719911606073286935338820572508434645721141452295618124438363293979916007000077 has 232 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)
403e621951792Dmitry DomanovMarch 22, 2023 06:44:47 UTC 2023 年 3 月 22 日 (水) 15 時 44 分 47 秒 (日本時間)
403Thomas KozlowskiOctober 3, 2024 22:08:15 UTC 2024 年 10 月 4 日 (金) 7 時 8 分 15 秒 (日本時間)

29×10280+43

c262

name 名前Dmitry Domanov
date 日付March 24, 2023 05:57:30 UTC 2023 年 3 月 24 日 (金) 14 時 57 分 30 秒 (日本時間)
composite number 合成数
6970285314748045355782723194957482014587914501054297447349064823507117990352766567524468799592744666981290455553723983949665443373688918789894055009602710604280638706703298704770383861692167742046581551230027641416769120249252189655746606383984345887375470173191<262>
prime factors 素因数
138057124287981341184631247030342231<36>
composite cofactor 合成数の残り
50488414492890088278491602349343364161491987066402418790475066019046209377828774403031894519832051276539695385819582663231385718532968165267281924716368882296657375573834168218513854415101644835074384898123071712625720986654161<227>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1b01e02b26e9 with GMP-ECM 7.0.5-dev on Wed Mar 22 08:25:08 2023 
Input number is 6970285314748045355782723194957482014587914501054297447349064823507117990352766567524468799592744666981290455553723983949665443373688918789894055009602710604280638706703298704770383861692167742046581551230027641416769120249252189655746606383984345887375470173191 (262 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:180911500
Step 1 took 0ms
Step 2 took 6694ms
********** Factor found in step 2: 138057124287981341184631247030342231
Found prime factor of 36 digits: 138057124287981341184631247030342231
Composite cofactor 50488414492890088278491602349343364161491987066402418790475066019046209377828774403031894519832051276539695385819582663231385718532968165267281924716368882296657375573834168218513854415101644835074384898123071712625720986654161 has 227 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 22, 2023 06:44:55 UTC 2023 年 3 月 22 日 (水) 15 時 44 分 55 秒 (日本時間)
400Thomas KozlowskiOctober 3, 2024 22:11:08 UTC 2024 年 10 月 4 日 (金) 7 時 11 分 8 秒 (日本時間)

29×10282+43

c280

name 名前Thomas Kozlowski
date 日付October 3, 2024 22:15:18 UTC 2024 年 10 月 4 日 (金) 7 時 15 分 18 秒 (日本時間)
composite number 合成数
1347834169920059490611637850901654582636177728202268079568693065625580963004275887711470533556423126975274214538018218999814091838631715932329429261944599367912251347834169920059490611637850901654582636177728202268079568693065625580963004275887711470533556423126975274214538018219<280>
prime factors 素因数
119562744377776094454930156645176480800497439<45>
composite cofactor 合成数の残り
11273028040083949436187309222883448736151429744899754064734085702729610303825072418868407572646078056879963248959450918263871051456940428312671053080672611728650408153495355822095567522975574811403809263194251688460661100941204629548021<236>
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 1347834169920059490611637850901654582636177728202268079568693065625580963004275887711470533556423126975274214538018218999814091838631715932329429261944599367912251347834169920059490611637850901654582636177728202268079568693065625580963004275887711470533556423126975274214538018219 (280 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3391234774
Step 1 took 15436ms
Step 2 took 5794ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1527659271
Step 1 took 15192ms
Step 2 took 5790ms
Run 3 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3522862326
Step 1 took 14872ms
Step 2 took 5767ms
Run 4 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4126145211
Step 1 took 14855ms
Step 2 took 5765ms
** Factor found in step 2: 119562744377776094454930156645176480800497439
Found prime factor of 45 digits: 119562744377776094454930156645176480800497439
Composite cofactor 11273028040083949436187309222883448736151429744899754064734085702729610303825072418868407572646078056879963248959450918263871051456940428312671053080672611728650408153495355822095567522975574811403809263194251688460661100941204629548021 has 236 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)
403e621961792Dmitry DomanovMarch 22, 2023 06:45:01 UTC 2023 年 3 月 22 日 (水) 15 時 45 分 1 秒 (日本時間)
404Thomas KozlowskiOctober 7, 2024 03:22:25 UTC 2024 年 10 月 7 日 (月) 12 時 22 分 25 秒 (日本時間)

29×10283+43

c255

composite cofactor 合成数の残り
107703501016135329787005251464904747560487452759766548006202017279023273309110748420819045859678978241822815805093406569532734934874184852272074875281147923088511172183695186541912236547865999690269737465348980653369042130645302083154856022672833642725047<255>

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 22, 2023 06:45:09 UTC 2023 年 3 月 22 日 (水) 15 時 45 分 9 秒 (日本時間)
414Thomas KozlowskiOctober 3, 2024 22:16:14 UTC 2024 年 10 月 4 日 (金) 7 時 16 分 14 秒 (日本時間)

29×10284+43

c275

composite cofactor 合成数の残り
23872971768646825249558169221563152770737326956962939193905392656843787081108089634421175366552720211772642465279265849394616058341828434022113308454300532047178342526494205052787424050178164312652544941211561179863238681399812383855911692562669131560946107001899671444696127<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)
403e622021792Dmitry DomanovMarch 22, 2023 06:45:16 UTC 2023 年 3 月 22 日 (水) 15 時 45 分 16 秒 (日本時間)
410Thomas KozlowskiOctober 3, 2024 22:20:20 UTC 2024 年 10 月 4 日 (金) 7 時 20 分 20 秒 (日本時間)

29×10286+43

c251

composite cofactor 合成数の残り
42881850708907116715814986034475158111963246109179028642458813061299863666990362778641007515779940908974305792786450170920573386819026597123066634954594320520868940007657913636551767625033204869318995939461844302457115380969911398813355153006019295903<251>

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)
403e621931792Dmitry DomanovMarch 22, 2023 06:45:24 UTC 2023 年 3 月 22 日 (水) 15 時 45 分 24 秒 (日本時間)
401Thomas KozlowskiOctober 3, 2024 22:24:02 UTC 2024 年 10 月 4 日 (金) 7 時 24 分 2 秒 (日本時間)

29×10287+43

c277

composite cofactor 合成数の残り
8940660329158911414423552094900829419764631962821680665738835792233649399521044068502467474828607990681130550410808465482661523144093543102665962023604793086458502543153140453745898786677337414568328121287282701108903023322182673352662493673243302469953505214588965574989089493<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)
403e622011792Dmitry DomanovMarch 22, 2023 06:45:31 UTC 2023 年 3 月 22 日 (水) 15 時 45 分 31 秒 (日本時間)
409Thomas KozlowskiOctober 3, 2024 22:28:08 UTC 2024 年 10 月 4 日 (金) 7 時 28 分 8 秒 (日本時間)

29×10288+43

c258

name 名前Dmitry Domanov
date 日付March 24, 2023 05:56:52 UTC 2023 年 3 月 24 日 (金) 14 時 56 分 52 秒 (日本時間)
composite number 合成数
957668015609460149097436855807093128517467149424892488925021098854118918895035536165461833690223020618226445140944005044078557792340405854674006795420253943225397210972893345949443846609823901139719002723963608508222803172886203149045903226191860203985139381<258>
prime factors 素因数
30068537397107800231592903754552270710931421<44>
composite cofactor 合成数の残り
31849504449178006193584602714713759080930437973123880027775009334912592398490980696162984739268125017480991141782232895110847229159670454903717382152464493389896432228052989389274612196001430509884774331939935768761<215>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1b01e02b26e9 with GMP-ECM 7.0.5-dev on Wed Mar 22 08:51:51 2023 
Input number is 957668015609460149097436855807093128517467149424892488925021098854118918895035536165461833690223020618226445140944005044078557792340405854674006795420253943225397210972893345949443846609823901139719002723963608508222803172886203149045903226191860203985139381 (258 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2828540511
Step 1 took 0ms
Step 2 took 4581ms
********** Factor found in step 2: 30068537397107800231592903754552270710931421
Found prime factor of 44 digits: 30068537397107800231592903754552270710931421
Composite cofactor 31849504449178006193584602714713759080930437973123880027775009334912592398490980696162984739268125017480991141782232895110847229159670454903717382152464493389896432228052989389274612196001430509884774331939935768761 has 215 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)
403e622021792Dmitry DomanovMarch 22, 2023 06:45:39 UTC 2023 年 3 月 22 日 (水) 15 時 45 分 39 秒 (日本時間)
410Thomas KozlowskiOctober 3, 2024 22:31:02 UTC 2024 年 10 月 4 日 (金) 7 時 31 分 2 秒 (日本時間)

29×10291+43

c288

composite cofactor 合成数の残り
450618434955559699173348250357387034619926657965069302007582820560631487351606687799117409410156007209894959288955186773572005718192553918826527441108832121325128970103797625707004785878550562496115358319348623282988377152091491080862701224439057741313941202063521660762011312076574056809<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)
403e622051792Dmitry DomanovMarch 22, 2023 06:45:46 UTC 2023 年 3 月 22 日 (水) 15 時 45 分 46 秒 (日本時間)
413Thomas KozlowskiOctober 3, 2024 22:35:11 UTC 2024 年 10 月 4 日 (金) 7 時 35 分 11 秒 (日本時間)

29×10292+43

c216

composite cofactor 合成数の残り
278175168130713206581752609265484509320283442824496528296418741774987290299534338432640391967948184012459474947291820009333411629257861292952763874529498021197995211022791586561531230297392402903504929662714505191171<216>

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 29, 2023 09:16:45 UTC 2023 年 3 月 29 日 (水) 18 時 16 分 45 秒 (日本時間)
413Thomas KozlowskiOctober 3, 2024 22:38:07 UTC 2024 年 10 月 4 日 (金) 7 時 38 分 7 秒 (日本時間)

29×10293+43

c237

composite cofactor 合成数の残り
143330542756569016074259904345651411605802192013856591505505274630362050104960452006421392037074581119700577622216382495113620704475214759431968615293910591767524671558441180822153494327382557638392012129275549866372503923961333265339667<237>

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 21:05:28 UTC 2023 年 3 月 29 日 (水) 6 時 5 分 28 秒 (日本時間)
413Thomas KozlowskiOctober 3, 2024 22:41:24 UTC 2024 年 10 月 4 日 (金) 7 時 41 分 24 秒 (日本時間)

29×10294+43

c269

composite cofactor 合成数の残り
10635011887029023703217019723637436013023883999168685309234426933792401705587787572921110915346754855651707210493865242574452600277344244793455085361933959417260176660876434877023737554739771554801980945091028686214210231312285342534116342209307523357299397348858036667<269>

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)
403e621941792Dmitry DomanovMarch 22, 2023 06:45:54 UTC 2023 年 3 月 22 日 (水) 15 時 45 分 54 秒 (日本時間)
402Thomas KozlowskiOctober 3, 2024 22:45:04 UTC 2024 年 10 月 4 日 (金) 7 時 45 分 4 秒 (日本時間)

29×10295+43

c282

composite cofactor 合成数の残り
930252477609692399699197181343360013297618244909859229757466470819964940668458069185379557624039831202750493971873530944657313205629589136583917164554577302606195441585892091829493583090088219606647550278898866775006949709194681467343887182477033442488190552878257376754497004958167<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)
403e622011792Dmitry DomanovMarch 22, 2023 06:46:01 UTC 2023 年 3 月 22 日 (水) 15 時 46 分 1 秒 (日本時間)
409Thomas KozlowskiOctober 3, 2024 22:49:10 UTC 2024 年 10 月 4 日 (金) 7 時 49 分 10 秒 (日本時間)

29×10298+43

c262

composite cofactor 合成数の残り
2038383034038890515551918302573924184863866423813768231952390795428070743979140995482282372396041618163966383540573604206568327003411530156799197452603152739888497946200126146174452578818651980299696031176674356219685541167042909471915010990345763047082024165503<262>

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)
403e621941792Dmitry DomanovMarch 22, 2023 06:46:09 UTC 2023 年 3 月 22 日 (水) 15 時 46 分 9 秒 (日本時間)
402Thomas KozlowskiOctober 3, 2024 22:52:50 UTC 2024 年 10 月 4 日 (金) 7 時 52 分 50 秒 (日本時間)

29×10300+43

c200

name 名前Dmitry Domanov
date 日付February 20, 2023 19:22:25 UTC 2023 年 2 月 21 日 (火) 4 時 22 分 25 秒 (日本時間)
composite number 合成数
83650941665412691000434506220492133551560747519108649288085025415769576089935481582051448467125549503120575225043490510549722689874826813014618915456740319118089526888711602233183930635115186002717363<200>
prime factors 素因数
42876544889338538827267066459510662203335883<44>
1950972072990258690496920894675755324650558890307254839314464894872869250202402245390735078135690591130147432432343108395408960437869111854807526648421989561<157>
factorization results 素因数分解の結果
Resuming ECM residue saved by @a1fb4c068622 with GMP-ECM 7.0.5-dev on Mon Feb 20 14:24:39 2023 
Input number is 83650941665412691000434506220492133551560747519108649288085025415769576089935481582051448467125549503120575225043490510549722689874826813014618915456740319118089526888711602233183930635115186002717363 (200 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2733310550
Step 1 took 0ms
Step 2 took 5008ms
********** Factor found in step 2: 42876544889338538827267066459510662203335883
Found prime factor of 44 digits: 42876544889338538827267066459510662203335883
Prime cofactor 1950972072990258690496920894675755324650558890307254839314464894872869250202402245390735078135690591130147432432343108395408960437869111854807526648421989561 has 157 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)