Table of contents 目次

203×10112-23

c86

name 名前Ignacio Santos
date 日付March 16, 2022 16:17:29 UTC 2022 年 3 月 17 日 (木) 1 時 17 分 29 秒 (日本時間)
composite number 合成数
24472502639123656935082528104957247757831048398158070631588898858038467315517128229489<86>
prime factors 素因数
802298983389059024994305123251180870183<39>
30502971019291695613289036762348614496161142183<47>
factorization results 素因数分解の結果
prp39 = 802298983389059024994305123251180870183
prp47 = 30502971019291695613289036762348614496161142183
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10116-23

c108

name 名前Dmitry Domanov
date 日付March 16, 2022 17:13:16 UTC 2022 年 3 月 17 日 (木) 2 時 13 分 16 秒 (日本時間)
composite number 合成数
282651693840416078333187950529564145883686742265795359186244389971752456107247300003967847769657248173685923<108>
prime factors 素因数
664758205366946122704436308110394163<36>
425194742326486239071200261008590354542433847646955148891990548665229521<72>
factorization results 素因数分解の結果
N=282651693840416078333187950529564145883686742265795359186244389971752456107247300003967847769657248173685923
  ( 108 digits)
SNFS difficulty: 118 digits.
Divisors found:
p36 factor: 664758205366946122704436308110394163
p72 factor: 425194742326486239071200261008590354542433847646955148891990548665229521
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.67 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 282651693840416078333187950529564145883686742265795359186244389971752456107247300003967847769657248173685923
m: 100000000000000000000000000000
deg: 4
c4: 203
c0: -2
skew: 0.32
# Murphy_E = 4.574e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59261 x 59486
Total sieving time: 1.64 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 1.67 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10119-23

c106

name 名前Dmitry Domanov
date 日付March 17, 2022 10:33:05 UTC 2022 年 3 月 17 日 (木) 19 時 33 分 5 秒 (日本時間)
composite number 合成数
2499722774229557369414336591099760876912052301606244764856301534123435637605619012316334373718862460048887<106>
prime factors 素因数
32177922325332014365735446673665188381115428647<47>
77684405753619924890862679011660421573509335183164510495921<59>
factorization results 素因数分解の結果
N=2499722774229557369414336591099760876912052301606244764856301534123435637605619012316334373718862460048887
  ( 106 digits)
SNFS difficulty: 121 digits.
Divisors found:
p47 factor: 32177922325332014365735446673665188381115428647
p59 factor: 77684405753619924890862679011660421573509335183164510495921
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.22 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2499722774229557369414336591099760876912052301606244764856301534123435637605619012316334373718862460048887
m: 500000000000000000000000000000
deg: 4
c4: 812
c0: -5
skew: 0.28
# Murphy_E = 3.808e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61244 x 61469
Total sieving time: 1.19 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
total time: 1.22 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10122-23

c118

name 名前Dmitry Domanov
date 日付March 17, 2022 12:17:12 UTC 2022 年 3 月 17 日 (木) 21 時 17 分 12 秒 (日本時間)
composite number 合成数
1386301240391327572602917843144726708124585731532043158084369337420395236532356612404241071093215305148121848640216039<118>
prime factors 素因数
1007360725858439189610516392487765685795416508507<49>
1376171618374309683118410843781682441494017640502119684731950596223077<70>
factorization results 素因数分解の結果
N=1386301240391327572602917843144726708124585731532043158084369337420395236532356612404241071093215305148121848640216039
  ( 118 digits)
SNFS difficulty: 124 digits.
Divisors found:
p49 factor: 1007360725858439189610516392487765685795416508507
p70 factor: 1376171618374309683118410843781682441494017640502119684731950596223077
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.54 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1386301240391327572602917843144726708124585731532043158084369337420395236532356612404241071093215305148121848640216039
m: 1000000000000000000000000000000
deg: 4
c4: 10150
c0: -1
skew: 0.10
# Murphy_E = 2.535e-08
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 785001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82013 x 82238
Total sieving time: 1.51 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124.000,4,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,75000
total time: 1.54 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10126-23

c102

name 名前ivelive
date 日付March 17, 2022 03:13:50 UTC 2022 年 3 月 17 日 (木) 12 時 13 分 50 秒 (日本時間)
composite number 合成数
121306783395892055276639058131407031228368220343828657041161188680550320467118733253401263457072141817<102>
prime factors 素因数
58803289635767376804914234790378332132899<41>
2062925121150137749234674338394923401360683327170310024408883<61>
factorization results 素因数分解の結果
03/17/22 11:51:08 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c102: 121306783395892055276639058131407031228368220343828657041161188680550320467118733253401263457072141817
03/17/22 11:51:08 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 0, 286018224
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, n = 102 digits, 336 bits
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 129376 primes (max prime = 3623689)
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 543553350 (150 * pmax)
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 31 to 29 bits
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 5289759388903068
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, allocating 9 large prime slices of factor base
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 22 blocks of size 32768
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 13 factors
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 1
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 21 bits, starting at offset 36
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 102 bits
03/17/22 11:51:09 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (64 threads) ====
03/17/22 12:12:29 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 206857531 sieve locations out of 3933941006336
03/17/22 12:12:29 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 0 failures, 1585455 attempts, 42911197 outside range, 7787596 prp, 1474858 useful
03/17/22 12:12:29 v1.34.5 @ DESKTOP-RJPVCOL, 144960 relations found: 34425 full + 110535 from 1972407 partial, using 2728508 polys (1475 A polys)
03/17/22 12:12:29 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 0.74 rels/poly and 1566.64 rels/sec
03/17/22 12:12:29 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 206857531 sieve locations out of 3933941006336
03/17/22 12:12:29 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
03/17/22 12:12:30 v1.34.5 @ DESKTOP-RJPVCOL, begin with 2006832 relations
03/17/22 12:12:30 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 374143 relations in 11 passes
03/17/22 12:12:31 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 156545
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL, recovered 374142 relations
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL, recovered 349583 polynomials
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 144959 cycles
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL, found 144959 cycles in 6 passes
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 34425
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 25066
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 24740
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 20310
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 15192
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 10194
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 6362
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 8670
03/17/22 12:12:32 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 19 relations
03/17/22 12:12:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 129376 x 144959 (45.1 MB) with weight 10651503 (73.48/col)
03/17/22 12:12:33 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 10651503 (73.48/col)
03/17/22 12:12:33 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
03/17/22 12:12:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 120247 x 120311 (33.5 MB) with weight 7806680 (64.89/col)
03/17/22 12:12:33 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 7806680 (64.89/col)
03/17/22 12:12:33 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
03/17/22 12:12:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 120199 x 120311 (28.4 MB) with weight 6835327 (56.81/col)
03/17/22 12:12:33 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 6242213 (51.88/col)
03/17/22 12:12:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
03/17/22 12:12:33 v1.34.5 @ DESKTOP-RJPVCOL, using block size 48124 for processor cache size 12288 kB
03/17/22 12:12:34 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
03/17/22 12:12:34 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 22.5 MB
03/17/22 12:13:06 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 1903 iterations (dim = 120197)
03/17/22 12:13:06 v1.34.5 @ DESKTOP-RJPVCOL, recovered 16 nontrivial dependencies
03/17/22 12:13:06 v1.34.5 @ DESKTOP-RJPVCOL, prp61 = 2062925121150137749234674338394923401360683327170310024408883
03/17/22 12:13:06 v1.34.5 @ DESKTOP-RJPVCOL, prp41 = 58803289635767376804914234790378332132899
03/17/22 12:13:06 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 36.3810 seconds.
03/17/22 12:13:06 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.1400 seconds.
03/17/22 12:13:06 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 1317.4981 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10135-23

c134

name 名前ebina
date 日付March 17, 2022 22:31:43 UTC 2022 年 3 月 18 日 (金) 7 時 31 分 43 秒 (日本時間)
composite number 合成数
18620436617134470739313887360117409649605576958356264905521922583012291322693083837827921482296826270409099247844432214272610530177949<134>
prime factors 素因数
29667735251612615799460652498109410916678306546945227<53>
627632559722344851289236932673220429168493511695899272822271101726073315993541687<81>
factorization results 素因数分解の結果
Fri Mar 18 07:27:54 2022  Msieve v. 1.53 (SVN unknown)
Fri Mar 18 07:27:54 2022  random seeds: c9e3a91c a35ede0a
Fri Mar 18 07:27:54 2022  factoring 18620436617134470739313887360117409649605576958356264905521922583012291322693083837827921482296826270409099247844432214272610530177949 (134 digits)
Fri Mar 18 07:27:55 2022  searching for 15-digit factors
Fri Mar 18 07:27:55 2022  commencing number field sieve (134-digit input)
Fri Mar 18 07:27:55 2022  R0: -5000000000000000000000000000000000
Fri Mar 18 07:27:55 2022  R1: 1
Fri Mar 18 07:27:55 2022  A0: -5
Fri Mar 18 07:27:55 2022  A1: 0
Fri Mar 18 07:27:55 2022  A2: 0
Fri Mar 18 07:27:55 2022  A3: 0
Fri Mar 18 07:27:55 2022  A4: 812
Fri Mar 18 07:27:55 2022  skew 0.28, size 2.940e-14, alpha -0.497, combined = 6.359e-09 rroots = 2
Fri Mar 18 07:27:55 2022  
Fri Mar 18 07:27:55 2022  commencing square root phase
Fri Mar 18 07:27:55 2022  reading relations for dependency 1
Fri Mar 18 07:27:55 2022  read 90163 cycles
Fri Mar 18 07:27:56 2022  cycles contain 278274 unique relations
Fri Mar 18 07:28:00 2022  read 278274 relations
Fri Mar 18 07:28:01 2022  multiplying 278274 relations
Fri Mar 18 07:28:06 2022  multiply complete, coefficients have about 8.04 million bits
Fri Mar 18 07:28:06 2022  initial square root is modulo 1776539257
Fri Mar 18 07:28:13 2022  sqrtTime: 18
Fri Mar 18 07:28:13 2022  p53 factor: 29667735251612615799460652498109410916678306546945227
Fri Mar 18 07:28:13 2022  p81 factor: 627632559722344851289236932673220429168493511695899272822271101726073315993541687
Fri Mar 18 07:28:13 2022  elapsed time 00:00:19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10150-23

c132

name 名前Ignacio Santos
date 日付March 22, 2022 16:46:25 UTC 2022 年 3 月 23 日 (水) 1 時 46 分 25 秒 (日本時間)
composite number 合成数
113579558834077563076896935970129552988588234617752238127942293843367999761193119238875976349342347876914909709337588190399684907057<132>
prime factors 素因数
4019781624884388781457078127555789978887005338345559<52>
28255156481875847210453264374593022801695414127461228306901483689777007211568823<80>
factorization results 素因数分解の結果
N=113579558834077563076896935970129552988588234617752238127942293843367999761193119238875976349342347876914909709337588190399684907057
  ( 132 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=4019781624884388781457078127555789978887005338345559 (pp52)
 r2=28255156481875847210453264374593022801695414127461228306901483689777007211568823 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.26 hours.
Scaled time: 72.27 units (timescale=7.806).
Factorization parameters were as follows:
n: 113579558834077563076896935970129552988588234617752238127942293843367999761193119238875976349342347876914909709337588190399684907057
m: 1000000000000000000000000000000
deg: 5
c5: 203
c0: -2
skew: 0.40
# Murphy_E = 1.239e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 369133 x 369359
Total sieving time: 9.19 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 9.26 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 22, 2022 15:00:51 UTC 2022 年 3 月 23 日 (水) 0 時 0 分 51 秒 (日本時間)

203×10152-23

c134

name 名前Ignacio Santos
date 日付March 23, 2022 14:24:46 UTC 2022 年 3 月 23 日 (水) 23 時 24 分 46 秒 (日本時間)
composite number 合成数
49450505380152350418178600340583978026689350385901702611429623531772098010603134012722353884788523175694610840940966326514922802580247<134>
prime factors 素因数
1229056437883676306859856583847082617438253912518189784581449<61>
40234527769368862197084266718967127652008628877508900727893366522774859103<74>
factorization results 素因数分解の結果
N=49450505380152350418178600340583978026689350385901702611429623531772098010603134012722353884788523175694610840940966326514922802580247
  ( 134 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=1229056437883676306859856583847082617438253912518189784581449 (pp61)
 r2=40234527769368862197084266718967127652008628877508900727893366522774859103 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.11 hours.
Scaled time: 86.34 units (timescale=7.770).
Factorization parameters were as follows:
n: 49450505380152350418178600340583978026689350385901702611429623531772098010603134012722353884788523175694610840940966326514922802580247
m: 1000000000000000000000000000000
deg: 5
c5: 10150
c0: -1
skew: 0.16
# Murphy_E = 8.574e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 491004 x 491229
Total sieving time: 11.01 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 11.11 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 22, 2022 15:01:21 UTC 2022 年 3 月 23 日 (水) 0 時 1 分 21 秒 (日本時間)

203×10153-23

c144

name 名前Bob Backstrom
date 日付March 18, 2022 20:12:47 UTC 2022 年 3 月 19 日 (土) 5 時 12 分 47 秒 (日本時間)
composite number 合成数
478498614455789063736307499379715610743031114283479673748110348870438118117937574805636865445792593181734753334757966456726303300143807807174739<144>
prime factors 素因数
58505925952901141712622651994078971662385335162031486605731<59>
8178635012818931114589126509164336038735862938411031041850144141274578050342891860369<85>
factorization results 素因数分解の結果
Number: n
N=478498614455789063736307499379715610743031114283479673748110348870438118117937574805636865445792593181734753334757966456726303300143807807174739  ( 144 digits)
SNFS difficulty: 155 digits.
Divisors found:

Sat Mar 19 07:06:10 2022  p59 factor: 58505925952901141712622651994078971662385335162031486605731
Sat Mar 19 07:06:10 2022  p85 factor: 8178635012818931114589126509164336038735862938411031041850144141274578050342891860369
Sat Mar 19 07:06:10 2022  elapsed time 00:05:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 203x10^153-2 = 676(153)
#
n: 478498614455789063736307499379715610743031114283479673748110348870438118117937574805636865445792593181734753334757966456726303300143807807174739
m: 100000000000000000000000000000000000000
deg: 4
c4: 1015
c0: -1
skew: 0.18
# Murphy_E = 8.872e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2004772 hash collisions in 15674165 relations (15101195 unique)
Msieve: matrix is 358306 x 358531 (119.2 MB)

Sieving start time : 2022/03/19 05:56:58
Sieving end time  : 2022/03/19 06:59:41

Total sieving time: 1hrs 2min 43secs.
Total relation processing time: 0hrs 2min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 26sec.

Prototype def-par.txt line would be:
snfs,155,4,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10156-23

c149

name 名前Bob Backstrom
date 日付March 18, 2022 08:45:36 UTC 2022 年 3 月 18 日 (金) 17 時 45 分 36 秒 (日本時間)
composite number 合成数
49171304880800063579126991134039252960488847529249161940145229721018840928197682465906389058191181985489902544406667204760609359276150606366313289551<149>
prime factors 素因数
412169263846551837026757548575356505645267301323201<51>
119298815302021762671042780512877858871824396885488909784645618821812485581606233406124973561646351<99>
factorization results 素因数分解の結果
Number: n
N=49171304880800063579126991134039252960488847529249161940145229721018840928197682465906389058191181985489902544406667204760609359276150606366313289551  ( 149 digits)
SNFS difficulty: 158 digits.
Divisors found:

Fri Mar 18 19:39:56 2022  p51 factor: 412169263846551837026757548575356505645267301323201
Fri Mar 18 19:39:56 2022  p99 factor: 119298815302021762671042780512877858871824396885488909784645618821812485581606233406124973561646351
Fri Mar 18 19:39:56 2022  elapsed time 00:05:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 203x10^156-2 = 676(156)
#
n: 49171304880800063579126991134039252960488847529249161940145229721018840928197682465906389058191181985489902544406667204760609359276150606366313289551
m: 10000000000000000000000000000000
deg: 5
c5: 1015
c0: -1
skew: 0.25
# Murphy_E = 6.413e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1926240 hash collisions in 15661989 relations (14653155 unique)
Msieve: matrix is 391065 x 391291 (130.6 MB)

Sieving start time : 2022/03/18 18:29:13
Sieving end time  : 2022/03/18 19:33:12

Total sieving time: 1hrs 3min 59secs.

Total relation processing time: 0hrs 2min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 20sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10158-23

c150

name 名前Bob Backstrom
date 日付March 18, 2022 06:27:15 UTC 2022 年 3 月 18 日 (金) 15 時 27 分 15 秒 (日本時間)
composite number 合成数
977812761882492215669451262486372855744170785187768092313733339422977809118638844050931459913983136923759081274542373586795140716687270390579251134821<150>
prime factors 素因数
3692886929991854569837279943098618033<37>
264782751386501017262167535099572234532236281069713632617333236363035902625089752387905517060694445273200053717237<114>
factorization results 素因数分解の結果
Number: n
N=977812761882492215669451262486372855744170785187768092313733339422977809118638844050931459913983136923759081274542373586795140716687270390579251134821  ( 150 digits)
SNFS difficulty: 160 digits.
Divisors found:

Fri Mar 18 17:23:30 2022  p37 factor: 3692886929991854569837279943098618033
Fri Mar 18 17:23:30 2022  p114 factor: 264782751386501017262167535099572234532236281069713632617333236363035902625089752387905517060694445273200053717237
Fri Mar 18 17:23:30 2022  elapsed time 00:07:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
#
# N = 203x10^158-2 = 676(158)
#
n: 977812761882492215669451262486372855744170785187768092313733339422977809118638844050931459913983136923759081274542373586795140716687270390579251134821
m: 10000000000000000000000000000000
deg: 5
c5: 101500
c0: -1
skew: 0.10
# Murphy_E = 4.99e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1851308 hash collisions in 15904745 relations (15024535 unique)
Msieve: matrix is 451740 x 451969 (152.7 MB)

Sieving start time : 2022/03/18 16:29:13
Sieving end time  : 2022/03/18 17:14:21

Total sieving time: 0hrs 45min 8secs.

Total relation processing time: 0hrs 3min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10160-23

c152

name 名前Bob Backstrom
date 日付March 17, 2022 19:45:52 UTC 2022 年 3 月 18 日 (金) 4 時 45 分 52 秒 (日本時間)
composite number 合成数
10049162282717417936012890479574463062522224293532120391697558698175992265409406243114618139550864861457979163572345818956029898877226516301721902552923<152>
prime factors 素因数
31134085023979768415490855891015037<35>
322770438732259437328796693766156112175826731782336939801490091187424935841327571985561164100492063080713064036145079<117>
factorization results 素因数分解の結果
Number: n
N=10049162282717417936012890479574463062522224293532120391697558698175992265409406243114618139550864861457979163572345818956029898877226516301721902552923  ( 152 digits)
SNFS difficulty: 162 digits.
Divisors found:

Fri Mar 18 06:41:36 2022  p35 factor: 31134085023979768415490855891015037
Fri Mar 18 06:41:36 2022  p117 factor: 322770438732259437328796693766156112175826731782336939801490091187424935841327571985561164100492063080713064036145079
Fri Mar 18 06:41:36 2022  elapsed time 00:07:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 203x10^160-2 = 676(160)
#
n: 10049162282717417936012890479574463062522224293532120391697558698175992265409406243114618139550864861457979163572345818956029898877226516301721902552923
m: 100000000000000000000000000000000
deg: 5
c5: 203
c0: -2
skew: 0.40
# Murphy_E = 5.103e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1469536 hash collisions in 15547909 relations (14736322 unique)
Msieve: matrix is 452433 x 452666 (152.8 MB)

Sieving start time : 2022/03/18 05:53:44
Sieving end time  : 2022/03/18 06:32:47

Total sieving time: 0hrs 39min 3secs.

Total relation processing time: 0hrs 3min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10162-23

c135

name 名前Ignacio Santos
date 日付March 27, 2022 09:51:25 UTC 2022 年 3 月 27 日 (日) 18 時 51 分 25 秒 (日本時間)
composite number 合成数
132427072270759655770472047941177522671113152862145699637617887283809584837175237752804311555643110691806942485770545433178883055882841<135>
prime factors 素因数
92199169502916060413431348216353330297946094836211683805659<59>
1436315239982408667552598716113725887931778386475094918403050559416456801499<76>
factorization results 素因数分解の結果
N=132427072270759655770472047941177522671113152862145699637617887283809584837175237752804311555643110691806942485770545433178883055882841
  ( 135 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=92199169502916060413431348216353330297946094836211683805659 (pp59)
 r2=1436315239982408667552598716113725887931778386475094918403050559416456801499 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 22.16 hours.
Scaled time: 173.78 units (timescale=7.843).
Factorization parameters were as follows:
n: 132427072270759655770472047941177522671113152862145699637617887283809584837175237752804311555643110691806942485770545433178883055882841
m: 100000000000000000000000000000000
deg: 5
c5: 10150
c0: -1
skew: 0.16
# Murphy_E = 3.524e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 774660 x 774885
Total sieving time: 21.99 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 22.16 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 20, 2022 18:37:15 UTC 2022 年 3 月 21 日 (月) 3 時 37 分 15 秒 (日本時間)

203×10164-23

c83

name 名前ivelive
date 日付March 16, 2022 13:48:33 UTC 2022 年 3 月 16 日 (水) 22 時 48 分 33 秒 (日本時間)
composite number 合成数
77775844321624183077463155309170390126575777871022564027480582415974513338580328847<83>
prime factors 素因数
26256883781421596825820595866460201193441<41>
2962112525198268342029347522384309692096367<43>
factorization results 素因数分解の結果
03/16/22 22:42:46, starting SIQS on c83: 77775844321624183077463155309170390126575777871022564027480582415974513338580328847
03/16/22 22:42:46, random seed: 10159574551725784279
03/16/22 22:42:46, ==== sieve params ====
03/16/22 22:42:46, n = 84 digits, 277 bits
03/16/22 22:42:46, factor base: 56464 primes (max prime = 1478699)
03/16/22 22:42:46, single large prime cutoff: 140476405 (95 * pmax)
03/16/22 22:42:46, double large prime range from 2186550732601 to 463112061425542
03/16/22 22:42:46, DLP MFB = 1.80
03/16/22 22:42:46, allocating 7 large prime slices of factor base
03/16/22 22:42:46, buckets hold 2048 elements
03/16/22 22:42:46, large prime hashtables have 802816 bytes
03/16/22 22:42:46, using AVX2 enabled 32k sieve core
03/16/22 22:42:46, sieve interval: 7 blocks of size 32768
03/16/22 22:42:46, polynomial A has ~ 11 factors
03/16/22 22:42:46, using multiplier of 2
03/16/22 22:42:46, using multiplier of 2 (kn mod 8 == 6)
03/16/22 22:42:46, using SPV correction of 21 bits, starting at offset 37
03/16/22 22:42:46, trial factoring cutoff at 87 bits
03/16/22 22:42:46, ==== sieving started ( 8 threads) ====
03/16/22 22:43:33, trial division touched 22120614 sieve locations out of 90850328576
03/16/22 22:43:33, total reports = 22120614, total surviving reports = 4666365
03/16/22 22:43:33, total blocks sieved = 2772532, avg surviving reports per block = 1.68
03/16/22 22:43:33, dlp-ecm: 4 failures, 344959 attempts, 2137065 outside range, 1945361 prp, 329097 useful
03/16/22 22:43:33, 57608 relations found: 19598 full + 38010 from 548479 partial, using 198038 polys (617 A polys)
03/16/22 22:43:33, on average, sieving found 2.87 rels/poly and 12147.68 rels/sec
03/16/22 22:43:33, trial division touched 22120614 sieve locations out of 90850328576
03/16/22 22:43:33, ==== post processing stage (msieve-1.38) ====
03/16/22 22:43:33, QS elapsed time = 46.9431 seconds.
03/16/22 22:43:34, begin singleton removal with 568077 relations
03/16/22 22:43:34, reduce to 120473 relations in 10 passes
03/16/22 22:43:35, recovered 120473 relations
03/16/22 22:43:35, recovered 90146 polynomials
03/16/22 22:43:35, attempting to build 57608 cycles
03/16/22 22:43:35, found 57608 cycles from 120473 relations in 4 passes
03/16/22 22:43:35, distribution of cycle lengths:
03/16/22 22:43:35,    length 1 : 19598
03/16/22 22:43:35,    length 2 : 14533
03/16/22 22:43:35,    length 3 : 10813
03/16/22 22:43:35,    length 4 : 6089
03/16/22 22:43:35,    length 5 : 3297
03/16/22 22:43:35,    length 6 : 1720
03/16/22 22:43:35,    length 7 : 853
03/16/22 22:43:35,    length 9+: 705
03/16/22 22:43:35, largest cycle: 14 relations
03/16/22 22:43:35, matrix is 56464 x 57608 (11.9 MB) with weight 2669055 (46.33/col)
03/16/22 22:43:35, sparse part has weight 2669055 (46.33/col)
03/16/22 22:43:35, filtering completed in 4 passes
03/16/22 22:43:36, matrix is 48161 x 48225 (10.0 MB) with weight 2245058 (46.55/col)
03/16/22 22:43:36, sparse part has weight 2245058 (46.55/col)
03/16/22 22:43:36, saving the first 48 matrix rows for later
03/16/22 22:43:36, matrix is 48113 x 48225 (8.6 MB) with weight 1933146 (40.09/col)
03/16/22 22:43:36, sparse part has weight 1774830 (36.80/col)
03/16/22 22:43:36, matrix includes 64 packed rows
03/16/22 22:43:36, using block size 19290 for processor cache size 12288 kB
03/16/22 22:43:36, commencing Lanczos iteration
03/16/22 22:43:36, memory use: 7.2 MB
03/16/22 22:43:40, lanczos halted after 762 iterations (dim = 48105)
03/16/22 22:43:40, recovered 13 nontrivial dependencies
03/16/22 22:43:40, prp41 = 26256883781421596825820595866460201193441
03/16/22 22:43:40, prp43 = 2962112525198268342029347522384309692096367
03/16/22 22:43:40, Lanczos elapsed time = 6.6320 seconds.
03/16/22 22:43:40, Sqrt elapsed time = 0.0700 seconds.
03/16/22 22:43:40, SIQS elapsed time = 53.6787 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10166-23

c140

name 名前Bob Backstrom
date 日付March 20, 2022 07:57:11 UTC 2022 年 3 月 20 日 (日) 16 時 57 分 11 秒 (日本時間)
composite number 合成数
56280453040130617301380323506542590846440693234668115160482993172135301816658643047876808891449222736473117672004717019262606197745556090649<140>
prime factors 素因数
1578476248197667433081588040327968742642391<43>
35654925504512754442275296067822604649499612793968956367843068902631684013793070730898722813591439<98>
factorization results 素因数分解の結果
Number: n
N=56280453040130617301380323506542590846440693234668115160482993172135301816658643047876808891449222736473117672004717019262606197745556090649  ( 140 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sun Mar 20 18:52:57 2022  p43 factor: 1578476248197667433081588040327968742642391
Sun Mar 20 18:52:57 2022  p98 factor: 35654925504512754442275296067822604649499612793968956367843068902631684013793070730898722813591439
Sun Mar 20 18:52:57 2022  elapsed time 00:12:47 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 203x10^166-2 = 676(166)
#
n: 56280453040130617301380323506542590846440693234668115160482993172135301816658643047876808891449222736473117672004717019262606197745556090649
m: 1000000000000000000000000000000000
deg: 5
c5: 1015
c0: -1
skew: 0.25
# Murphy_E = 2.612e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 43800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1294739 hash collisions in 15725669 relations (15127529 unique)
Msieve: matrix is 682966 x 683198 (232.5 MB)

Sieving start time : 2022/03/20 14:12:49
Sieving end time  : 2022/03/20 18:39:13

Total sieving time: 4hrs 26min 24secs.

Total relation processing time: 0hrs 6min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 4sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 19, 2022 17:42:23 UTC 2022 年 3 月 20 日 (日) 2 時 42 分 23 秒 (日本時間)

203×10168-23

c137

name 名前Ignacio Santos
date 日付April 10, 2022 21:52:23 UTC 2022 年 4 月 11 日 (月) 6 時 52 分 23 秒 (日本時間)
composite number 合成数
71978282974915502866896299374485844142860177750528088547354210780110584252283468841384553070435788240514174263895558431285785238358960603<137>
prime factors 素因数
11704073985189841644370801189919542451051722434150309068945867821<65>
6149848596821562683982318449295339483035355165382824181642670449027138343<73>
factorization results 素因数分解の結果
N=71978282974915502866896299374485844142860177750528088547354210780110584252283468841384553070435788240514174263895558431285785238358960603
  ( 137 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=11704073985189841644370801189919542451051722434150309068945867821 (pp65)
 r2=6149848596821562683982318449295339483035355165382824181642670449027138343 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 38.36 hours.
Scaled time: 299.90 units (timescale=7.819).
Factorization parameters were as follows:
n: 71978282974915502866896299374485844142860177750528088547354210780110584252283468841384553070435788240514174263895558431285785238358960603
m: 1000000000000000000000000000000000
deg: 5
c5: 101500
c0: -1
skew: 0.10
# Murphy_E = 2.029e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 5400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 939809 x 940041
Total sieving time: 38.15 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 38.36 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 19, 2022 18:29:02 UTC 2022 年 3 月 20 日 (日) 3 時 29 分 2 秒 (日本時間)

203×10171-23

c170

name 名前Bob Backstrom
date 日付March 21, 2022 10:29:26 UTC 2022 年 3 月 21 日 (月) 19 時 29 分 26 秒 (日本時間)
composite number 合成数
41718043567612001644060830250719276613234689683518290176736539251952322235922729140978216193999177969584874640361693382655158240854911631730374023838882038635429510891903<170>
prime factors 素因数
1485145328079789546141231412664933698284169569475006592255616055296169824863886437<82>
28090209610362587066791043730064471233979429552143121209787088515283984670510438786700819<89>
factorization results 素因数分解の結果
Number: n
N=41718043567612001644060830250719276613234689683518290176736539251952322235922729140978216193999177969584874640361693382655158240854911631730374023838882038635429510891903  ( 170 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Mar 21 21:25:26 2022  p82 factor: 1485145328079789546141231412664933698284169569475006592255616055296169824863886437
Mon Mar 21 21:25:26 2022  p89 factor: 28090209610362587066791043730064471233979429552143121209787088515283984670510438786700819
Mon Mar 21 21:25:26 2022  elapsed time 00:16:04 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 203x10^171-2 = 676(171)
#
n: 41718043567612001644060830250719276613234689683518290176736539251952322235922729140978216193999177969584874640361693382655158240854911631730374023838882038635429510891903
m: 10000000000000000000000000000000000
deg: 5
c5: 1015
c0: -1
skew: 0.25
# Murphy_E = 1.655e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2179802 hash collisions in 15999167 relations (14694121 unique)
Msieve: matrix is 759353 x 759581 (260.0 MB)

Sieving start time : 2022/03/21 19:11:22
Sieving end time  : 2022/03/21 21:08:40

Total sieving time: 1hrs 57min 18secs.

Total relation processing time: 0hrs 8min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 21sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 20, 2022 17:21:09 UTC 2022 年 3 月 21 日 (月) 2 時 21 分 9 秒 (日本時間)

203×10175-23

c176

name 名前Bob Backstrom
date 日付March 22, 2022 18:39:14 UTC 2022 年 3 月 23 日 (水) 3 時 39 分 14 秒 (日本時間)
composite number 合成数
26025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641<176>
prime factors 素因数
335596257093870511759514002164083058822854020966281178175309119692989<69>
77550450803631356165297611490603292838810133417265636797867530108240910786104400209725406217964829384144669<107>
factorization results 素因数分解の結果
Number: n
N=26025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641  ( 176 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Mar 23 05:31:01 2022  p69 factor: 335596257093870511759514002164083058822854020966281178175309119692989
Wed Mar 23 05:31:01 2022  p107 factor: 77550450803631356165297611490603292838810133417265636797867530108240910786104400209725406217964829384144669
Wed Mar 23 05:31:01 2022  elapsed time 00:24:39 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 203x10^175-2 = 676(175)
#
n: 26025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641
m: 100000000000000000000000000000000000
deg: 5
c5: 203
c0: -2
skew: 0.40
# Murphy_E = 1.3e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3951777 hash collisions in 30945208 relations (28724108 unique)
Msieve: matrix is 889352 x 889577 (302.2 MB)

Sieving start time : 2022/03/23 01:46:41
Sieving end time  : 2022/03/23 05:05:12

Total sieving time: 3hrs 18min 31secs.

Total relation processing time: 0hrs 12min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 13sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 21, 2022 17:16:19 UTC 2022 年 3 月 22 日 (火) 2 時 16 分 19 秒 (日本時間)

203×10179-23

c173

name 名前Bob Backstrom
date 日付March 23, 2022 02:29:39 UTC 2022 年 3 月 23 日 (水) 11 時 29 分 39 秒 (日本時間)
composite number 合成数
42159813431153737022394266936607437030133811800279235866964081512888165661865394963869476025502259307018689727744012059351497085213801198934543840849802939839927537291071489<173>
prime factors 素因数
101284650880890140429592880877490951836059601<45>
400151406790645897267347062157445485473129571091<48>
1040233167061165800063463322798488578469451792508738091864981488962967423985159979<82>
factorization results 素因数分解の結果
Number: n
N=42159813431153737022394266936607437030133811800279235866964081512888165661865394963869476025502259307018689727744012059351497085213801198934543840849802939839927537291071489  ( 173 digits)
SNFS difficulty: 181 digits.
Divisors found:

Wed Mar 23 13:20:10 2022  found factor: 1040233167061165800063463322798488578469451792508738091864981488962967423985159979
Wed Mar 23 13:21:11 2022  found factor: 1040233167061165800063463322798488578469451792508738091864981488962967423985159979
Wed Mar 23 13:23:12 2022  found factor: 1040233167061165800063463322798488578469451792508738091864981488962967423985159979
Wed Mar 23 13:24:12 2022  found factor: 1040233167061165800063463322798488578469451792508738091864981488962967423985159979
Wed Mar 23 13:25:13 2022  p45 factor: 101284650880890140429592880877490951836059601
Wed Mar 23 13:25:13 2022  p48 factor: 400151406790645897267347062157445485473129571091
Wed Mar 23 13:25:13 2022  p82 factor: 1040233167061165800063463322798488578469451792508738091864981488962967423985159979
Wed Mar 23 13:25:13 2022  elapsed time 00:26:22 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 203x10^179-2 = 676(179)
#
n: 42159813431153737022394266936607437030133811800279235866964081512888165661865394963869476025502259307018689727744012059351497085213801198934543840849802939839927537291071489
m: 500000000000000000000000000000000000
deg: 5
c5: 1624
c0: -5
skew: 0.31
# Murphy_E = 6.973e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3623533 hash collisions in 30946282 relations (29160950 unique)
Msieve: matrix is 922553 x 922782 (315.1 MB)

Sieving start time : 2022/03/23 07:55:38
Sieving end time  : 2022/03/23 12:57:41

Total sieving time: 5hrs 2min 3secs.

Total relation processing time: 0hrs 12min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 4sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10180-23

c165

name 名前Bob Backstrom
date 日付March 25, 2022 03:39:33 UTC 2022 年 3 月 25 日 (金) 12 時 39 分 33 秒 (日本時間)
composite number 合成数
379406147785578045083165242960809416555206453429155851796094218470063510685255207022755015266620056121400631265082142137638407826905493951527620696056499233331809243<165>
prime factors 素因数
692840410128957024582497111118983818001173349<45>
547609726913821213268904264521213062729993029016297032532701817230209094986244693682249919143341696699115496185803974207<120>
factorization results 素因数分解の結果
Number: n
N=379406147785578045083165242960809416555206453429155851796094218470063510685255207022755015266620056121400631265082142137638407826905493951527620696056499233331809243  ( 165 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Mar 25 14:35:25 2022  p45 factor: 692840410128957024582497111118983818001173349
Fri Mar 25 14:35:25 2022  p120 factor: 547609726913821213268904264521213062729993029016297032532701817230209094986244693682249919143341696699115496185803974207
Fri Mar 25 14:35:25 2022  elapsed time 00:22:34 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 203x10^180-2 = 676(180)
#
n: 379406147785578045083165242960809416555206453429155851796094218470063510685255207022755015266620056121400631265082142137638407826905493951527620696056499233331809243
m: 1000000000000000000000000000000000000
deg: 5
c5: 203
c0: -2
skew: 0.40
# Murphy_E = 8.169e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3452413 hash collisions in 30740695 relations (29151324 unique)
Msieve: matrix is 894859 x 895086 (305.5 MB)

Sieving start time : 2022/03/25 09:55:32
Sieving end time  : 2022/03/25 14:11:49

Total sieving time: 4hrs 16min 17secs.

Total relation processing time: 0hrs 12min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 41sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 23, 2022 14:42:16 UTC 2022 年 3 月 23 日 (水) 23 時 42 分 16 秒 (日本時間)

203×10181-23

c166

name 名前Bob Backstrom
date 日付March 24, 2022 22:57:33 UTC 2022 年 3 月 25 日 (金) 7 時 57 分 33 秒 (日本時間)
composite number 合成数
8475963510135615929352817608665510655671751198755841983615368182810698826136566531451826150453125813768994163082079818706934389098783075132965620691549680514956677639<166>
prime factors 素因数
22113949457499725579089283905399973749159088348754020095576696148287<68>
383285831706605324323931615871378734001659180063323606418828053829970786554999671851736509972317497<99>
factorization results 素因数分解の結果
Number: n
N=8475963510135615929352817608665510655671751198755841983615368182810698826136566531451826150453125813768994163082079818706934389098783075132965620691549680514956677639  ( 166 digits)
SNFS difficulty: 183 digits.
Divisors found:

Fri Mar 25 09:53:44 2022  p68 factor: 22113949457499725579089283905399973749159088348754020095576696148287
Fri Mar 25 09:53:44 2022  p99 factor: 383285831706605324323931615871378734001659180063323606418828053829970786554999671851736509972317497
Fri Mar 25 09:53:44 2022  elapsed time 00:25:06 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 203x10^181-2 = 676(181)
#
n: 8475963510135615929352817608665510655671751198755841983615368182810698826136566531451826150453125813768994163082079818706934389098783075132965620691549680514956677639
m: 1000000000000000000000000000000000000
deg: 5
c5: 1015
c0: -1
skew: 0.25
# Murphy_E = 6.556e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3692645 hash collisions in 30568912 relations (28646770 unique)
Msieve: matrix is 966996 x 967221 (328.0 MB)

Sieving start time : 2022/03/25 05:38:22
Sieving end time  : 2022/03/25 09:27:47

Total sieving time: 3hrs 49min 25secs.

Total relation processing time: 0hrs 14min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 8sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 23, 2022 15:22:00 UTC 2022 年 3 月 24 日 (木) 0 時 22 分 0 秒 (日本時間)

203×10184-23

c111

name 名前Eric Jeancolas
date 日付March 17, 2022 11:19:38 UTC 2022 年 3 月 17 日 (木) 20 時 19 分 38 秒 (日本時間)
composite number 合成数
701055650198921945165747901702067191828194802336933121147782424945797361262152599942607701652337309832979024547<111>
prime factors 素因数
1320885313160124269382635152130800245138406563028501<52>
530746797783447306710647179178834266591284020826610244185047<60>
factorization results 素因数分解の結果
701055650198921945165747901702067191828194802336933121147782424945797361262152599942607701652337309832979024547=1320885313160124269382635152130800245138406563028501*530746797783447306710647179178834266591284020826610244185047

cado polynomial
n: 701055650198921945165747901702067191828194802336933121147782424945797361262152599942607701652337309832979024547
skew: 176019.401
c0: 5143707627719242920086494935
c1: 168442815132142475071488
c2: -1408088806405212187
c3: -7513426836454
c4: 21485018
c5: 60
Y0: -6507641568817144906436
Y1: 20249992688437
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.530e-06
# f(x) = 60*x^5+21485018*x^4-7513426836454*x^3-1408088806405212187*x^2+168442815132142475071488*x+5143707627719242920086494935
# g(x) = 20249992688437*x-6507641568817144906436

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1320885313160124269382635152130800245138406563028501 530746797783447306710647179178834266591284020826610244185047
Info:Square Root: Total cpu/real time for sqrt: 75.54/56.8039
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.26/113.423
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5385374
Info:Lattice Sieving: Average J: 2002.77 for 92857 special-q, max bucket fill -bkmult 1.0,1s:1.260910
Info:Lattice Sieving: Total time: 14398.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.32/1.1129
Info:Linear Algebra: Total cpu/real time for bwc: 1381.36/1297.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 701.62, WCT time 666.45, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9472 iterations)
Info:Linear Algebra: Lingen CPU time 266.62, WCT time 230.4
Info:Linear Algebra: Mksol: CPU time 387.43,  WCT time 376.92, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.04/26.1401
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.55/38.2768
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 36.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 315.19
Info:Polynomial Selection (root optimized): Rootsieve time: 314.08
Info:Filtering - Merging: Merged matrix has 299589 rows and total weight 46546037 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.81/37.0957
Info:Filtering - Merging: Total cpu/real time for replay: 10.81/11.6755
Info:Quadratic Characters: Total cpu/real time for characters: 11.26/9.31481
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11993/32.450/39.452/45.010/1.136
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9364/31.390/34.942/39.880/0.907
Info:Polynomial Selection (size optimized): Total time: 843.83
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 92.97/149.427
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 111.49999999999997s
Info:Square Root: Total cpu/real time for sqrt: 75.54/56.8039
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 24140.1/5550.5
Info:root: Cleaning up computation data in /tmp/cado.g39fsbb3
1320885313160124269382635152130800245138406563028501 530746797783447306710647179178834266591284020826610244185047
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10185-23

c176

name 名前Bob Backstrom
date 日付March 26, 2022 11:32:12 UTC 2022 年 3 月 26 日 (土) 20 時 32 分 12 秒 (日本時間)
composite number 合成数
58719834570799879624586736650358122784178271921378866587760573984972265089833789187798123766431168578106156618784538430668876664433554886914426868969896224356932155554307709511<176>
prime factors 素因数
14527515272695272987541552708214613058788264409673949257078478237419007856613<77>
4041973693957484108079659434209242388453877506440480260229603926924844766836859927548133627532469947<100>
factorization results 素因数分解の結果
Number: n
N=58719834570799879624586736650358122784178271921378866587760573984972265089833789187798123766431168578106156618784538430668876664433554886914426868969896224356932155554307709511  ( 176 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sat Mar 26 22:28:06 2022  p77 factor: 14527515272695272987541552708214613058788264409673949257078478237419007856613
Sat Mar 26 22:28:06 2022  p100 factor: 4041973693957484108079659434209242388453877506440480260229603926924844766836859927548133627532469947
Sat Mar 26 22:28:06 2022  elapsed time 00:30:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 203x10^185-2 = 676(185)
#
n: 58719834570799879624586736650358122784178271921378866587760573984972265089833789187798123766431168578106156618784538430668876664433554886914426868969896224356932155554307709511
m: 10000000000000000000000000000000000000
deg: 5
c5: 203
c0: -2
skew: 0.40
# Murphy_E = 5.109e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3479984 hash collisions in 30732313 relations (29103762 unique)
Msieve: matrix is 1104412 x 1104638 (380.9 MB)

Sieving start time : 2022/03/26 17:17:17
Sieving end time  : 2022/03/26 21:56:27

Total sieving time: 4hrs 39min 10secs.
Total relation processing time: 0hrs 20min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10187-23

c131

name 名前Ignacio Santos
date 日付March 19, 2022 08:38:35 UTC 2022 年 3 月 19 日 (土) 17 時 38 分 35 秒 (日本時間)
composite number 合成数
21742284052238733812285906740150537950500787692195666569504174602824287085013477022011402690740072681520119090155169888338406432033<131>
prime factors 素因数
13259296774465478454890791881026477<35>
1639776559953740813131942460935286103874750454472839703409630152137780063726460673712323851314629<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:978130904
Step 1 took 4828ms
Step 2 took 2953ms
********** Factor found in step 2: 13259296774465478454890791881026477
Found prime factor of 35 digits: 13259296774465478454890791881026477
Prime cofactor 1639776559953740813131942460935286103874750454472839703409630152137780063726460673712323851314629 has 97 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10188-23

c168

name 名前Ignacio Santos
date 日付March 28, 2022 20:42:46 UTC 2022 年 3 月 29 日 (火) 5 時 42 分 46 秒 (日本時間)
composite number 合成数
197134087413500055065080231159375551620741490147443737103372941852937900260123379337469611769827617349141701953174704805982093820651770533444626195005180032341400327171<168>
prime factors 素因数
131384298646888597480852964246900165760039817817<48>
composite cofactor 合成数の残り
1500438708763229553863831270703867069230352889725391691604191974773046664031565274807168859836293224590337085073839519163<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2165178108
Step 1 took 4843ms
Step 2 took 2204ms
********** Factor found in step 2: 131384298646888597480852964246900165760039817817
Found prime factor of 48 digits: 131384298646888597480852964246900165760039817817
Composite cofactor 1500438708763229553863831270703867069230352889725391691604191974773046664031565274807168859836293224590337085073839519163 has 121 digits
software ソフトウェア
GMP-ECM

c121

name 名前Eric Jeancolas
date 日付March 31, 2022 06:49:54 UTC 2022 年 3 月 31 日 (木) 15 時 49 分 54 秒 (日本時間)
composite number 合成数
1500438708763229553863831270703867069230352889725391691604191974773046664031565274807168859836293224590337085073839519163<121>
prime factors 素因数
10454330993744472034294501532445649770527<41>
143523168499356175745556199436433490880656299636386923210523548830675268492746469<81>
factorization results 素因数分解の結果
1500438708763229553863831270703867069230352889725391691604191974773046664031565274807168859836293224590337085073839519163=10454330993744472034294501532445649770527*143523168499356175745556199436433490880656299636386923210523548830675268492746469

cado polynomial
n: 1500438708763229553863831270703867069230352889725391691604191974773046664031565274807168859836293224590337085073839519163
skew: 51560.282
c0: 14694463397502637475005028466
c1: -2546682721600249531529477
c2: -23098357880743934148
c3: -117595403105347
c4: -5797018914
c5: 128520
Y0: -147949570601370213063280
Y1: 38598456857203793
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.455e-06
# f(x) = 128520*x^5-5797018914*x^4-117595403105347*x^3-23098357880743934148*x^2-2546682721600249531529477*x+14694463397502637475005028466
# g(x) = 38598456857203793*x-147949570601370213063280

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

cado log (extracts)
Info:Square Root: Factors: 10454330993744472034294501532445649770527 143523168499356175745556199436433490880656299636386923210523548830675268492746469
Info:Square Root: Total cpu/real time for sqrt: 1732.42/157.225
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20236/34.320/42.966/47.540/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16160/33.830/38.036/43.470/0.855
Info:Polynomial Selection (size optimized): Total time: 3492.7
Info:Quadratic Characters: Total cpu/real time for characters: 25.54/5.7487
Info:Generate Factor Base: Total cpu/real time for makefb: 6.06/0.668969
Info:Generate Free Relations: Total cpu/real time for freerel: 171.69/15.4864
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 225.87/149.256
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 136.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 1732.42/157.225
Info:Linear Algebra: Total cpu/real time for bwc: 5776.26/1044.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3458.27, WCT time 635.74, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Linear Algebra: Lingen CPU time 290.45, WCT time 25.6
Info:Linear Algebra: Mksol: CPU time 1959.18,  WCT time 363.52, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.89/81.2094
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13445848
Info:Lattice Sieving: Average J: 1894.19 for 262570 special-q, max bucket fill -bkmult 1.0,1s:1.244460
Info:Lattice Sieving: Total time: 59375.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3002.67
Info:Polynomial Selection (root optimized): Rootsieve time: 2998.96
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.73/91.5704
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 91.3s
Info:Filtering - Merging: Merged matrix has 740236 rows and total weight 74758373 (101.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 63.92/11.4953
Info:Filtering - Merging: Total cpu/real time for replay: 17.47/12.7132
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 125013/12247.1
Info:root: Cleaning up computation data in /tmp/cado.0dykfe8n
10454330993744472034294501532445649770527 143523168499356175745556199436433490880656299636386923210523548830675268492746469
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 29, 2022 16:47:26 UTC 2022 年 3 月 30 日 (水) 1 時 47 分 26 秒 (日本時間)

203×10189-23

c191

name 名前Bob Backstrom
date 日付March 31, 2022 13:48:41 UTC 2022 年 3 月 31 日 (木) 22 時 48 分 41 秒 (日本時間)
composite number 合成数
33833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<191>
prime factors 素因数
64274030828512035460298212321178350279429946093<47>
2586504282856081674694715044529355105852432611963830398497464321<64>
203514824106461145590807361223469889501016678072193876985325800073852077000593161<81>
factorization results 素因数分解の結果
Number: n
N=33833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333  ( 191 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Apr  1 00:29:15 2022  found factor: 2586504282856081674694715044529355105852432611963830398497464321
Fri Apr  1 00:33:02 2022  found factor: 2586504282856081674694715044529355105852432611963830398497464321
Fri Apr  1 00:34:55 2022  found factor: 2586504282856081674694715044529355105852432611963830398497464321
Fri Apr  1 00:36:48 2022  found factor: 2586504282856081674694715044529355105852432611963830398497464321
Fri Apr  1 00:38:41 2022  p47 factor: 64274030828512035460298212321178350279429946093
Fri Apr  1 00:38:41 2022  p64 factor: 2586504282856081674694715044529355105852432611963830398497464321
Fri Apr  1 00:38:41 2022  p81 factor: 203514824106461145590807361223469889501016678072193876985325800073852077000593161
Fri Apr  1 00:38:41 2022  elapsed time 00:54:26 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 203x10^189-2 = 676(189)
#
n: 33833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 50000000000000000000000000000000000000
deg: 5
c5: 1624
c0: -5
skew: 0.31
# Murphy_E = 2.722e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3963677 hash collisions in 30051360 relations (27713967 unique)
Msieve: matrix is 1387498 x 1387724 (480.8 MB)

Sieving start time : 2022/03/31 17:37:13
Sieving end time  : 2022/03/31 23:43:35

Total sieving time: 6hrs 6min 22secs.

Total relation processing time: 0hrs 35min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 20sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10190-23

c184

name 名前Bob Backstrom
date 日付March 31, 2022 23:34:36 UTC 2022 年 4 月 1 日 (金) 8 時 34 分 36 秒 (日本時間)
composite number 合成数
1104008471702005363299260162155698384376490652768698848996552505675411156656917162414600879460979947961565447161832043345117258713942402146423930075179398412687944947433060820208486333<184>
prime factors 素因数
313378265173661069548812575792118135169<39>
309503144445983969244819815654195755923164317496143<51>
11382521212065895312956286117198020575241705391252984596642846890122439471527288630440730168499<95>
factorization results 素因数分解の結果
Number: n
N=1104008471702005363299260162155698384376490652768698848996552505675411156656917162414600879460979947961565447161832043345117258713942402146423930075179398412687944947433060820208486333  ( 184 digits)
SNFS difficulty: 192 digits.
Divisors found:

Fri Apr  1 10:23:02 2022  found factor: 96991558472275489592965200842410702037920106245410038722613803942373997622832432510153167
Fri Apr  1 10:29:22 2022  p39 factor: 313378265173661069548812575792118135169
Fri Apr  1 10:29:22 2022  p51 factor: 309503144445983969244819815654195755923164317496143
Fri Apr  1 10:29:22 2022  p95 factor: 11382521212065895312956286117198020575241705391252984596642846890122439471527288630440730168499
Fri Apr  1 10:29:22 2022  elapsed time 00:48:15 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 203x10^190-2 = 676(190)
#
n: 1104008471702005363299260162155698384376490652768698848996552505675411156656917162414600879460979947961565447161832043345117258713942402146423930075179398412687944947433060820208486333
m: 100000000000000000000000000000000000000
deg: 5
c5: 203
c0: -2
skew: 0.40
# Murphy_E = 3.182e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3631805 hash collisions in 30768554 relations (28943729 unique)
Msieve: matrix is 1339693 x 1339919 (464.0 MB)

Sieving start time : 2022/04/01 04:47:18
Sieving end time  : 2022/04/01 09:40:32

Total sieving time: 4hrs 53min 14secs.

Total relation processing time: 0hrs 32min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 56sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10191-23

c183

name 名前Ignacio Santos
date 日付April 1, 2022 18:18:54 UTC 2022 年 4 月 2 日 (土) 3 時 18 分 54 秒 (日本時間)
composite number 合成数
407496636908074130482751770471143685573792822908569428713747721069186526753276916434063300579046333586774120244151861326521585184559129388729891857791338510011383819223597133847826037<183>
prime factors 素因数
4448009027527278169412674089606518228563<40>
composite cofactor 合成数の残り
91613266606747031444914136252688267491252212690455844631442801757123095334238736450534735448959738495120161101093213956374753308301171548434199<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2189782139
Step 1 took 6031ms
Step 2 took 2984ms
********** Factor found in step 2: 4448009027527278169412674089606518228563
Found prime factor of 40 digits: 4448009027527278169412674089606518228563
Composite cofactor 91613266606747031444914136252688267491252212690455844631442801757123095334238736450534735448959738495120161101093213956374753308301171548434199 has 143 digits
software ソフトウェア
GMP-ECM

c143

name 名前Eric Jeancolas
date 日付October 21, 2022 15:00:31 UTC 2022 年 10 月 22 日 (土) 0 時 0 分 31 秒 (日本時間)
composite number 合成数
91613266606747031444914136252688267491252212690455844631442801757123095334238736450534735448959738495120161101093213956374753308301171548434199<143>
prime factors 素因数
7793846868557435272723042784085878779550891353695112537359293539832951<70>
11754563330765536312162577037932835951183874415199224752197836291619799649<74>
factorization results 素因数分解の結果
91613266606747031444914136252688267491252212690455844631442801757123095334238736450534735448959738495120161101093213956374753308301171548434199=7793846868557435272723042784085878779550891353695112537359293539832951*11754563330765536312162577037932835951183874415199224752197836291619799649

cado polynomial
n: 91613266606747031444914136252688267491252212690455844631442801757123095334238736450534735448959738495120161101093213956374753308301171548434199
skew: 0.25
type: snfs
c0: -1
c5: 1015
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 1015*x^5-1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11500000
tasks.lim1 = 11500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
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: 7793846868557435272723042784085878779550891353695112537359293539832951 11754563330765536312162577037932835951183874415199224752197836291619799649
Info:Square Root: Total cpu/real time for sqrt: 697.21/216.914
Info:Square Root: Total cpu/real time for sqrt: 697.21/216.914
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 122.32/134.387
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 133.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 421.56/478.312
Info:Filtering - Merging: Merged matrix has 2441936 rows and total weight 416579636 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 667.86/183.565
Info:Filtering - Merging: Total cpu/real time for replay: 94.55/83.2555
Info:Quadratic Characters: Total cpu/real time for characters: 85.07/38.7179
Info:Generate Factor Base: Total cpu/real time for makefb: 4.84/2.41327
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28724980
Info:Lattice Sieving: Average J: 1893.99 for 3073664 special-q, max bucket fill -bkmult 1.0,1s:1.153510
Info:Lattice Sieving: Total time: 862394s
Info:Linear Algebra: Total cpu/real time for bwc: 104398/26754.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 66927.06, WCT time 17078.72, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (76800 iterations)
Info:Linear Algebra: Lingen CPU time 522.88, WCT time 132.46
Info:Linear Algebra: Mksol: CPU time 36079.43,  WCT time 9242.11, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38400 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 123.48/33.3963
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 517.46/533.231
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 433.49999999999994s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.77754e+06/103167
Info:root: Cleaning up computation data in /tmp/cado.dw8c6lgg
7793846868557435272723042784085878779550891353695112537359293539832951 11754563330765536312162577037932835951183874415199224752197836291619799649
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 3, 2022 14:28:30 UTC 2022 年 4 月 3 日 (日) 23 時 28 分 30 秒 (日本時間)

203×10192-23

c148

name 名前Ignacio Santos
date 日付April 1, 2022 19:04:27 UTC 2022 年 4 月 2 日 (土) 4 時 4 分 27 秒 (日本時間)
composite number 合成数
6768635289967832773617453386034234032498888888288080640381227732234394034526934334836468975387273399994501937557824592006887171310999589227808016227<148>
prime factors 素因数
1664106991937430263152363403541483905159<40>
4067427949501897573941873824054485489226754569018045773016296157854011271503571947198178578445948047365629253<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2521395849
Step 1 took 5843ms
Step 2 took 3438ms
********** Factor found in step 2: 1664106991937430263152363403541483905159
Found prime factor of 40 digits: 1664106991937430263152363403541483905159
Prime cofactor 4067427949501897573941873824054485489226754569018045773016296157854011271503571947198178578445948047365629253 has 109 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10193-23

c122

name 名前Eric Jeancolas
date 日付March 19, 2022 12:10:58 UTC 2022 年 3 月 19 日 (土) 21 時 10 分 58 秒 (日本時間)
composite number 合成数
77064735852934151307265819363502168735948146654920527969166863835760550493278700354125866702093223526982732367572514897411<122>
prime factors 素因数
33759102778917886924298638061820274572101<41>
2282783886693222763429642663059945882361650403468702795304762370290085195037574311<82>
factorization results 素因数分解の結果
77064735852934151307265819363502168735948146654920527969166863835760550493278700354125866702093223526982732367572514897411=33759102778917886924298638061820274572101*2282783886693222763429642663059945882361650403468702795304762370290085195037574311

cado polynomial
n: 77064735852934151307265819363502168735948146654920527969166863835760550493278700354125866702093223526982732367572514897411
skew: 7202.349
c0: -21841682915901519618317160
c1: -17791363367923842326986
c2: 3913043768411747565
c3: 575748239281921
c4: -26986895580
c5: 1134000
Y0: -241933118267055838603229
Y1: 166206976889833217
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.271e-06
# f(x) = 1134000*x^5-26986895580*x^4+575748239281921*x^3+3913043768411747565*x^2-17791363367923842326986*x-21841682915901519618317160
# g(x) = 166206976889833217*x-241933118267055838603229

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

cado log (extracts)
Info:Square Root: Factors: 33759102778917886924298638061820274572101 2282783886693222763429642663059945882361650403468702795304762370290085195037574311
Info:Square Root: Total cpu/real time for sqrt: 251.45/74.7208
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 206.22/200.961
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 128.02/148.905
Info:Linear Algebra: Total cpu/real time for bwc: 6157.22/1601.36
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3756.38, WCT time 974.48, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 144.6, WCT time 36.75
Info:Linear Algebra: Mksol: CPU time 2174.44,  WCT time 560.99, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 14049807
Info:Lattice Sieving: Average J: 1888.53 for 349232 special-q, max bucket fill -bkmult 1.0,1s:1.276150
Info:Lattice Sieving: Total time: 41330.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.16/1.37675
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2234.66
Info:Polynomial Selection (root optimized): Rootsieve time: 2232.22
Info:Generate Free Relations: Total cpu/real time for freerel: 126.17/32.7928
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.37/64.1306
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 63.50000000000001s
Info:Filtering - Merging: Merged matrix has 801812 rows and total weight 80627400 (100.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 62.04/20.4764
Info:Filtering - Merging: Total cpu/real time for replay: 20.02/15.7702
Info:Quadratic Characters: Total cpu/real time for characters: 25.12/9.7067
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19934/36.100/43.613/49.520/1.031
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16094/34.460/38.666/44.110/0.895
Info:Polynomial Selection (size optimized): Total time: 2230.14
Info:Square Root: Total cpu/real time for sqrt: 251.45/74.7208
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 87880.8/24007.1
Info:root: Cleaning up computation data in /tmp/cado.ekjh2dko
33759102778917886924298638061820274572101 2282783886693222763429642663059945882361650403468702795304762370290085195037574311
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 18, 2022 22:40:34 UTC 2022 年 3 月 19 日 (土) 7 時 40 分 34 秒 (日本時間)

203×10195-23

c133

name 名前Eric Jeancolas
date 日付April 1, 2022 06:11:33 UTC 2022 年 4 月 1 日 (金) 15 時 11 分 33 秒 (日本時間)
composite number 合成数
8072339537608349603623211291211623118907313971108932601923732383156587450050707796515700437699412494300730752078053330667523856216901<133>
prime factors 素因数
34687010694190504714792855568390140779073888077082288260167<59>
232719377543834635777376457861383305134233174262029353264240000217143709203<75>
factorization results 素因数分解の結果
8072339537608349603623211291211623118907313971108932601923732383156587450050707796515700437699412494300730752078053330667523856216901=34687010694190504714792855568390140779073888077082288260167*232719377543834635777376457861383305134233174262029353264240000217143709203

cado polynomial
n: 8072339537608349603623211291211623118907313971108932601923732383156587450050707796515700437699412494300730752078053330667523856216901
skew: 162969.622
c0: -9729993280588193460856952145510
c1: 244102240000359938503885437
c2: 2945468869411853741396
c3: -8760029322249773
c4: -91083568254
c5: 64080
Y0: -59903648998360778880254956
Y1: 847845581615884261
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.488e-07
# f(x) = 64080*x^5-91083568254*x^4-8760029322249773*x^3+2945468869411853741396*x^2+244102240000359938503885437*x-9729993280588193460856952145510
# g(x) = 847845581615884261*x-59903648998360778880254956

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 232719377543834635777376457861383305134233174262029353264240000217143709203 34687010694190504714792855568390140779073888077082288260167
Info:Square Root: Total cpu/real time for sqrt: 700.66/89.2099
Info:Filtering - Merging: Merged matrix has 1215533 rows and total weight 206905098 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 356.03/39.8163
Info:Filtering - Merging: Total cpu/real time for replay: 41.66/31.883
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 142.91/133.659
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 133.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 17.87/1.99993
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54072/39.870/47.743/54.000/0.993
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44094/38.410/42.562/48.340/0.999
Info:Polynomial Selection (size optimized): Total time: 19059
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 342.37/238.617
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 220.8s
Info:Quadratic Characters: Total cpu/real time for characters: 44.31/10.6682
Info:Square Root: Total cpu/real time for sqrt: 700.66/89.2099
Info:Linear Algebra: Total cpu/real time for bwc: 27150.3/4922.73
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17309.11, WCT time 3144.7, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (38144 iterations)
Info:Linear Algebra: Lingen CPU time 553.41, WCT time 48.79
Info:Linear Algebra: Mksol: CPU time 9106.44,  WCT time 1676.22, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (19200 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 165.78/169.306
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17012986
Info:Lattice Sieving: Average J: 3793.37 for 535291 special-q, max bucket fill -bkmult 1.0,1s:1.159590
Info:Lattice Sieving: Total time: 351202s
Info:Generate Free Relations: Total cpu/real time for freerel: 293.99/25.8446
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 10517.7
Info:Polynomial Selection (root optimized): Rootsieve time: 10514
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 714522/67374.1
Info:root: Cleaning up computation data in /tmp/cado.w5spbn0j
232719377543834635777376457861383305134233174262029353264240000217143709203 34687010694190504714792855568390140779073888077082288260167
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 19, 2022 08:52:14 UTC 2022 年 3 月 19 日 (土) 17 時 52 分 14 秒 (日本時間)
4511e64480Ignacio SantosMarch 30, 2022 16:34:15 UTC 2022 年 3 月 31 日 (木) 1 時 34 分 15 秒 (日本時間)

203×10196-23

c190

name 名前Bob Backstrom
date 日付April 10, 2022 09:33:28 UTC 2022 年 4 月 10 日 (日) 18 時 33 分 28 秒 (日本時間)
composite number 合成数
1374211157270751058617472441742074676153364830009355507707463653140471421770060086969911365099812361417658921248384484471501249559374085349931681193858980961176329299736559388662819419695161<190>
prime factors 素因数
195409385669179480546397450218410006192974604832416350957<57>
144905770084532914108644185713322843056352157858750365117454257<63>
48531349928575772132265539604995465336260733518438251508881826220421389<71>
factorization results 素因数分解の結果
Number: n
N=1374211157270751058617472441742074676153364830009355507707463653140471421770060086969911365099812361417658921248384484471501249559374085349931681193858980961176329299736559388662819419695161  ( 190 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Apr 10 19:25:43 2022  found factor: 195409385669179480546397450218410006192974604832416350957
Sun Apr 10 19:28:21 2022  p57 factor: 195409385669179480546397450218410006192974604832416350957
Sun Apr 10 19:28:21 2022  p63 factor: 144905770084532914108644185713322843056352157858750365117454257
Sun Apr 10 19:28:21 2022  p71 factor: 48531349928575772132265539604995465336260733518438251508881826220421389
Sun Apr 10 19:28:21 2022  elapsed time 01:27:14 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 03x10^196-2 = 676(196)
#
n: 1374211157270751058617472441742074676153364830009355507707463653140471421770060086969911365099812361417658921248384484471501249559374085349931681193858980961176329299736559388662819419695161
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1015
c0: -1
skew: 0.25
# Murphy_E = 1.582e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4089881 hash collisions in 29894423 relations (27365676 unique)
Msieve: matrix is 1850792 x 1851017 (643.4 MB)

Sieving start time : 2022/04/10 09:40:27
Sieving end time  : 2022/04/10 18:00:33

Total sieving time: 8hrs 20min 6secs.

Total relation processing time: 1hrs 10min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 55sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovApril 4, 2022 08:33:43 UTC 2022 年 4 月 4 日 (月) 17 時 33 分 43 秒 (日本時間)

203×10198-23

c162

name 名前Bob Backstrom
date 日付September 1, 2022 03:26:00 UTC 2022 年 9 月 1 日 (木) 12 時 26 分 0 秒 (日本時間)
composite number 合成数
322262202940943548588014237504419524352663904044067182500825263764072736681036411438060724432034556531734562951734421458213163052111896126252407179167075668658689<162>
prime factors 素因数
8058279062577319176839276364048278699882707<43>
39991442395874639416081884073919176351842017973682927371921742413146563049581117906247891919517234996071196971391380827<119>
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 322262202940943548588014237504419524352663904044067182500825263764072736681036411438060724432034556531734562951734421458213163052111896126252407179167075668658689 (162 digits)
Using B1=17520000, B2=58559766730, polynomial Dickson(12), sigma=1:2606592160
Step 1 took 40909ms
Step 2 took 3263ms
********** Factor found in step 2: 8058279062577319176839276364048278699882707
Found prime factor of 43 digits: 8058279062577319176839276364048278699882707
Prime cofactor 39991442395874639416081884073919176351842017973682927371921742413146563049581117906247891919517234996071196971391380827 has 119 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovApril 4, 2022 08:33:53 UTC 2022 年 4 月 4 日 (月) 17 時 33 分 53 秒 (日本時間)
2350Ignacio SantosApril 12, 2022 19:19:19 UTC 2022 年 4 月 13 日 (水) 4 時 19 分 19 秒 (日本時間)

203×10199-23

c158

name 名前Bob Backstrom
date 日付October 7, 2022 06:31:40 UTC 2022 年 10 月 7 日 (金) 15 時 31 分 40 秒 (日本時間)
composite number 合成数
12107269422518908166706036565224964429735466621321905340923830735326237650796928616995928915176655430180453751272195853733114803378203468370482629869705387083<158>
prime factors 素因数
5290840128678038124784554826542410234497161048224506518117009809<64>
2288345353112004440936780299673534563938786123279870565421141206119376161535013753730683599387<94>
factorization results 素因数分解の結果
Number: n
N=12107269422518908166706036565224964429735466621321905340923830735326237650796928616995928915176655430180453751272195853733114803378203468370482629869705387083  ( 158 digits)
SNFS difficulty: 201 digits.
Divisors found:

Fri Oct  7 16:22:10 2022  p64 factor: 5290840128678038124784554826542410234497161048224506518117009809
Fri Oct  7 16:22:10 2022  p94 factor: 2288345353112004440936780299673534563938786123279870565421141206119376161535013753730683599387
Fri Oct  7 16:22:10 2022  elapsed time 01:28:39 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 203x10^199-2 = 676(199)
#
n: 12107269422518908166706036565224964429735466621321905340923830735326237650796928616995928915176655430180453751272195853733114803378203468370482629869705387083
m: 1000000000000000000000000000000000
deg: 6
c6: 1015
c0: -1
skew: 0.32
# Murphy_E = 1.085e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 41400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3898880 hash collisions in 24501899 relations (22169360 unique)
Msieve: matrix is 1968571 x 1968796 (687.7 MB)

Sieving start time : 2022/10/06 23:56:20
Sieving end time  : 2022/10/07 14:53:03

Total sieving time: 14hrs 56min 43secs.

Total relation processing time: 1hrs 14min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 44sec.

Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,14000000,14000000,28,28,53,53,2.6,2.6,100000
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovApril 4, 2022 08:34:03 UTC 2022 年 4 月 4 日 (月) 17 時 34 分 3 秒 (日本時間)
2350Ignacio SantosApril 12, 2022 20:06:09 UTC 2022 年 4 月 13 日 (水) 5 時 6 分 9 秒 (日本時間)

203×10200-23

c156

name 名前Dmitry Domanov
date 日付April 26, 2022 12:10:54 UTC 2022 年 4 月 26 日 (火) 21 時 10 分 54 秒 (日本時間)
composite number 合成数
490466107466198752062566922225969118688757788936620383237604528527828542060883781047353173601902840982857939362805476895921295794143268189603972911105776093<156>
prime factors 素因数
65311816419148365160801695248899739943001<41>
composite cofactor 合成数の残り
7509607516020669808403953223388952276729946215683959793109960455068180321062849685009478304317666517467019680077093<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3931936590
Step 1 took 28536ms
Step 2 took 12933ms
********** Factor found in step 2: 65311816419148365160801695248899739943001
Found prime factor of 41 digits: 65311816419148365160801695248899739943001
Composite cofactor 7509607516020669808403953223388952276729946215683959793109960455068180321062849685009478304317666517467019680077093 has 115 digits

c115

name 名前Eric Jeancolas
date 日付April 27, 2022 05:37:49 UTC 2022 年 4 月 27 日 (水) 14 時 37 分 49 秒 (日本時間)
composite number 合成数
7509607516020669808403953223388952276729946215683959793109960455068180321062849685009478304317666517467019680077093<115>
prime factors 素因数
16772931282514313044421411207995519245508285287438588329<56>
447721831654398632151496637185962396863219000544358526559517<60>
factorization results 素因数分解の結果
7509607516020669808403953223388952276729946215683959793109960455068180321062849685009478304317666517467019680077093=16772931282514313044421411207995519245508285287438588329*447721831654398632151496637185962396863219000544358526559517

cado polynomial
n: 7509607516020669808403953223388952276729946215683959793109960455068180321062849685009478304317666517467019680077093
skew: 4992.862
c0: -481903948947038464994490
c1: 2590973553691296052149
c2: -48839988931445704
c3: -189186011915483
c4: -6633198880
c5: 1176000
Y0: -13517603023898325752812
Y1: 21991990764196699
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.311e-06
# f(x) = 1176000*x^5-6633198880*x^4-189186011915483*x^3-48839988931445704*x^2+2590973553691296052149*x-481903948947038464994490
# g(x) = 21991990764196699*x-13517603023898325752812

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

cado log (extracts)
Info:Square Root: Factors: 447721831654398632151496637185962396863219000544358526559517 16772931282514313044421411207995519245508285287438588329
Info:Square Root: Total cpu/real time for sqrt: 132.75/76.6826
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.96/104.583
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6660947
Info:Lattice Sieving: Average J: 1895.92 for 102597 special-q, max bucket fill -bkmult 1.0,1s:1.242700
Info:Lattice Sieving: Total time: 20577.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.03/2.12513
Info:Linear Algebra: Total cpu/real time for bwc: 13711.6/11317.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1234.82, WCT time 991.7, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 11757.26, WCT time 9725.82
Info:Linear Algebra: Mksol: CPU time 686.49,  WCT time 573.08, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (6400 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.37/35.0715
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.55/37.0105
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 36.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 288.78
Info:Polynomial Selection (root optimized): Rootsieve time: 287.63
Info:Filtering - Merging: Merged matrix has 403932 rows and total weight 63134437 (156.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 64.14/43.8042
Info:Filtering - Merging: Total cpu/real time for replay: 14.33/14.3021
Info:Quadratic Characters: Total cpu/real time for characters: 14.99/10.555
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21815/33.060/40.968/47.670/1.071
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17180/32.950/36.261/41.410/0.820
Info:Polynomial Selection (size optimized): Total time: 1816.52
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 112.25/150.171
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 118.7s
Info:Square Root: Total cpu/real time for sqrt: 132.75/76.6826
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 38656.3/22790.8
Info:root: Cleaning up computation data in /tmp/cado.d2qjvdz6
447721831654398632151496637185962396863219000544358526559517 16772931282514313044421411207995519245508285287438588329
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 4, 2022 08:31:34 UTC 2022 年 4 月 4 日 (月) 17 時 31 分 34 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 25, 2022 16:45:28 UTC 2022 年 4 月 26 日 (火) 1 時 45 分 28 秒 (日本時間)

203×10202-23

c203

name 名前Ignacio Santos
date 日付March 26, 2022 19:58:04 UTC 2022 年 3 月 27 日 (日) 4 時 58 分 4 秒 (日本時間)
composite number 合成数
17807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807<203>
prime factors 素因数
60552867889746935098358049807507457574790350448491<50>
1893725566794642095105482739032584366183189148093269380394434261<64>
155288547269267137347907603101502833242934885838518688851600783961014062644114723033434257<90>
factorization results 素因数分解の結果
N=17807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807
  ( 203 digits)
SNFS difficulty: 204 digits.
Divisors found:
 r1=60552867889746935098358049807507457574790350448491 (pp50)
 r2=1893725566794642095105482739032584366183189148093269380394434261 (pp64)
 r3=155288547269267137347907603101502833242934885838518688851600783961014062644114723033434257 (pp90)
Version: Msieve v. 1.52 (SVN 927)
Total time: 577.01 hours.
Scaled time: 4550.27 units (timescale=7.886).
Factorization parameters were as follows:
n: 17807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807
m: 10000000000000000000000000000000000000000
deg: 5
c5: 10150
c0: -1
skew: 0.16
# Murphy_E = 8.356e-12
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8800000, 21100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3778067 x 3778295
Total sieving time: 573.38 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.19 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,204.000,5,0,0,0,0,0,0,0,0,17600000,17600000,29,29,56,56,2.6,2.6,100000
total time: 577.01 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 24, 2022 17:43:43 UTC 2022 年 3 月 25 日 (金) 2 時 43 分 43 秒 (日本時間)

203×10203-23

c174

name 名前Bob Backstrom
date 日付September 18, 2023 12:40:19 UTC 2023 年 9 月 18 日 (月) 21 時 40 分 19 秒 (日本時間)
composite number 合成数
285651733826600558766477812961810741619675016970214394812715958682519185876094056692808429493271948863011932679028911745907147391631112172194463377105924609753042186059562069<174>
prime factors 素因数
12745283973106450444664738383954400398105321367454551861<56>
22412347534142678800044000554629798010794640231205820347698173747701898220560914118240672501899163078750871806269652129<119>
factorization results 素因数分解の結果
Number: n
N=285651733826600558766477812961810741619675016970214394812715958682519185876094056692808429493271948863011932679028911745907147391631112172194463377105924609753042186059562069  ( 174 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Sep 18 22:33:42 2023  prp56 factor: 12745283973106450444664738383954400398105321367454551861
Mon Sep 18 22:33:42 2023  prp119 factor: 22412347534142678800044000554629798010794640231205820347698173747701898220560914118240672501899163078750871806269652129
Mon Sep 18 22:33:42 2023  elapsed time 03:34:56 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 203x10^203-2 = 676(203)
#
n: 285651733826600558766477812961810741619675016970214394812715958682519185876094056692808429493271948863011932679028911745907147391631112172194463377105924609753042186059562069
m: 10000000000000000000000000000000000000000
deg: 5
c5: 101500
c0: -1
skew: 0.10
# Murphy_E = 7.537e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3685142 hash collisions in 18636463 relations (15543026 unique)
Msieve: matrix is 2586559 x 2586784 (732.8 MB)

Sieving start time: 2023/09/17 20:50:47
Sieving end time  : 2023/09/18 18:58:24

Total sieving time: 22hrs 7min 37secs.

Total relation processing time: 3hrs 26min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 37sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,27,27,56,56,2.6,2.6,100000
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 11:58:58 UTC 2022 年 3 月 23 日 (水) 20 時 58 分 58 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 5, 2022 20:56:11 UTC 2022 年 4 月 6 日 (水) 5 時 56 分 11 秒 (日本時間)

203×10206-23

c202

name 名前Dmitry Domanov
date 日付March 24, 2022 18:55:09 UTC 2022 年 3 月 25 日 (金) 3 時 55 分 9 秒 (日本時間)
composite number 合成数
1081215934374560256696641381127125534709215230039608721268817018743597257610295476607973152609421449342796476066939090472634105129767749491109475616663252580883740099550693528118378551061993725964915981<202>
prime factors 素因数
839081417336950878384305074357344937<36>
1288570944409766549647323434696349364990437884730312576058136661701545053165503782606321482225923854905988400565282324442856794396515946607243575159702698164081961413<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:249774866
Step 1 took 22918ms
Step 2 took 9819ms
********** Factor found in step 2: 839081417336950878384305074357344937
Found prime factor of 36 digits: 839081417336950878384305074357344937
Prime cofactor 1288570944409766549647323434696349364990437884730312576058136661701545053165503782606321482225923854905988400565282324442856794396515946607243575159702698164081961413 has 166 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 24, 2022 17:43:56 UTC 2022 年 3 月 25 日 (金) 2 時 43 分 56 秒 (日本時間)

203×10207-23

c159

name 名前Bob Backstrom
date 日付October 13, 2024 09:38:47 UTC 2024 年 10 月 13 日 (日) 18 時 38 分 47 秒 (日本時間)
composite number 合成数
120261237420219137844908794083179479424643825193772791324428835940637927323060049561926849348354920967002707377838998264253710892491597414049704815842681152159<159>
prime factors 素因数
170907700546731197490401044069286681702500910051233143619<57>
703661900754063299765124876101261145452772829706411893697840345983150801836568458586521825629042380661<102>
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 120261237420219137844908794083179479424643825193772791324428835940637927323060049561926849348354920967002707377838998264253710892491597414049704815842681152159 (159 digits)
Using B1=55060000, B2=288596528236, polynomial Dickson(12), sigma=1:2958251041
Step 1 took 128617ms
Step 2 took 42389ms
********** Factor found in step 2: 170907700546731197490401044069286681702500910051233143619
Found prime factor of 57 digits: 170907700546731197490401044069286681702500910051233143619
Prime cofactor 703661900754063299765124876101261145452772829706411893697840345983150801836568458586521825629042380661 has 102 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 11:59:09 UTC 2022 年 3 月 23 日 (水) 20 時 59 分 9 秒 (日本時間)
4511e656801200Dmitry DomanovApril 5, 2022 20:56:22 UTC 2022 年 4 月 6 日 (水) 5 時 56 分 22 秒 (日本時間)
4480Ignacio SantosOctober 13, 2024 06:33:16 UTC 2024 年 10 月 13 日 (日) 15 時 33 分 16 秒 (日本時間)

203×10208-23

c165

name 名前Dmitry Domanov
date 日付April 7, 2022 05:44:00 UTC 2022 年 4 月 7 日 (木) 14 時 44 分 0 秒 (日本時間)
composite number 合成数
781540655315778841119088791680016850199224102130001129837950739571210158601987734919590663094985722399395651118213639846661684852166992804877616125018165523717777789<165>
prime factors 素因数
12044467819201188009981460280296856787917659<44>
64887935859636187918456337390100321162209591858683203036483752017014259201136113140251995930715998199908483056445786136071<122>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=898758273
Step 1 took 36300ms
Step 2 took 13516ms
********** Factor found in step 2: 12044467819201188009981460280296856787917659
Found probable prime factor of 44 digits: 12044467819201188009981460280296856787917659
Probable prime cofactor 64887935859636187918456337390100321162209591858683203036483752017014259201136113140251995930715998199908483056445786136071 has 122 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 11:59:18 UTC 2022 年 3 月 23 日 (水) 20 時 59 分 18 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 5, 2022 20:56:30 UTC 2022 年 4 月 6 日 (水) 5 時 56 分 30 秒 (日本時間)

203×10209-23

c172

composite cofactor 合成数の残り
3586781460079225386201041580780397536448198555811913020262800582391461359736574840021776609273556182258678604510604690670141516885405710137413167400288253648969991658137969<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 11:59:27 UTC 2022 年 3 月 23 日 (水) 20 時 59 分 27 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 5, 2022 20:56:39 UTC 2022 年 4 月 6 日 (水) 5 時 56 分 39 秒 (日本時間)

203×10210-23

c171

name 名前Dmitry Domanov
date 日付April 7, 2022 05:43:39 UTC 2022 年 4 月 7 日 (木) 14 時 43 分 39 秒 (日本時間)
composite number 合成数
604842397953493143171044304076002114199238867768519119911817469629348225613203934161703448157707556518667527674683047019415321119444195076392293383933758619885257120197547<171>
prime factors 素因数
71583504397299617058455123395875859909<38>
composite cofactor 合成数の残り
8449466159082174488403371834770002100075980638118151054371619623806454845209659435262787519276085982733511471941224370506141908023983<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=880327605
Step 1 took 37644ms
Step 2 took 12996ms
********** Factor found in step 2: 71583504397299617058455123395875859909
Found probable prime factor of 38 digits: 71583504397299617058455123395875859909
Composite cofactor 8449466159082174488403371834770002100075980638118151054371619623806454845209659435262787519276085982733511471941224370506141908023983 has 133 digits

c133

name 名前Florian Piesker
date 日付April 9, 2022 12:36:20 UTC 2022 年 4 月 9 日 (土) 21 時 36 分 20 秒 (日本時間)
composite number 合成数
8449466159082174488403371834770002100075980638118151054371619623806454845209659435262787519276085982733511471941224370506141908023983<133>
prime factors 素因数
15287618995033505994312058498448412476743311363067<50>
552699943779810017905983957212066482524360482690754260204423123528599181684919581149<84>
factorization results 素因数分解の結果
04/09/22 12:59:02, System/Build Info: 
04/09/22 12:59:02, YAFU Version 2.08
04/09/22 12:59:02, Built with GCC 9
04/09/22 12:59:02, Using GMP-ECM 7.0.5-dev, Powered by GMP 6.1.2
04/09/22 12:59:02, detected Intel(R) Xeon(R) Platinum 8375C CPU @ 2.90GHz
detected L1 = 49152 bytes, L2 = 56623104 bytes, CL = 64 bytes
04/09/22 12:59:02, using 20 random witnesses for Rabin-Miller PRP checks
04/09/22 12:59:02, Cached 664579 primes: max prime is 9999991
04/09/22 12:59:02, Parsed yafu.ini from /home/florian/Math/yafu
04/09/22 12:59:02, Random seed: 11347804426171301256
04/09/22 12:59:02, Processing: nfs(8449466159082174488403371834770002100075980638118151054371619623806454845209659435262787519276085982733511471941224370506141908023983)
04/09/22 12:32:55, nfs: commencing nfs on c133: 8449466159082174488403371834770002100075980638118151054371619623806454845209659435262787519276085982733511471941224370506141908023983
04/09/22 12:32:55, nfs: commencing poly selection with 64 threads
04/09/22 12:32:55, nfs: setting deadline of 7 seconds
04/09/22 12:32:55, nfs: expecting degree 5 poly E from 4.13e-11 to > 4.75e-11
04/09/22 12:32:55, nfs: searching for good quality poly E > 4.43e-11
04/09/22 12:40:58, nfs: commencing nfs on c133: 8449466159082174488403371834770002100075980638118151054371619623806454845209659435262787519276085982733511471941224370506141908023983
04/09/22 12:40:58, nfs: commencing poly selection with 64 threads
04/09/22 12:40:58, nfs: setting deadline of 7 seconds
04/09/22 12:40:58, nfs: expecting degree 5 poly E from 4.13e-11 to > 4.75e-11
04/09/22 12:41:52, nfs: completed 510 ranges of size 250 in 54.0733 seconds
04/09/22 12:41:52, nfs: best poly = # norm 9.170566e-13 alpha -5.088105 e 5.318e-11 rroots 3

n: 8449466159082174488403371834770002100075980638118151054371619623806454845209659435262787519276085982733511471941224370506141908023983
skew: 165801.07
c0: -3499377114393564664836208585680
c1: 73379957416262446948112190
c2: 29654384536812803057
c3: -4708040437234213
c4: 7552463967
c5: 85500
Y0: -39716651160833905013039203
Y1: 45686579737543
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

04/09/22 12:41:52, nfs: commencing lattice sieving with 64 threads
04/09/22 12:49:29, nfs: commencing lattice sieving with 64 threads
04/09/22 12:57:04, nfs: commencing lattice sieving with 64 threads
04/09/22 12:58:19, nfs: refusing to resume without -R option
04/09/22 12:58:30, nfs: refusing to resume without -R option
04/09/22 12:59:02, nfs: previous data file found - commencing search for last special-q
04/09/22 12:59:02, nfs: parsing special-q from .dat file
04/09/22 12:59:02, nfs: commencing nfs on c133: 8449466159082174488403371834770002100075980638118151054371619623806454845209659435262787519276085982733511471941224370506141908023983
04/09/22 12:59:02, nfs: resuming with filtering
04/09/22 12:59:02, nfs: commencing lattice sieving with 128 threads
04/09/22 13:11:09, nfs: commencing lattice sieving with 128 threads
04/09/22 13:23:35, nfs: commencing lattice sieving with 128 threads
04/09/22 13:36:07, nfs: commencing lattice sieving with 128 threads
04/09/22 13:48:45, nfs: commencing lattice sieving with 128 threads
04/09/22 14:01:26, nfs: commencing msieve filtering
04/09/22 14:06:33, nfs: commencing msieve linear algebra
04/09/22 14:25:36, nfs: commencing msieve sqrt
04/09/22 14:29:26, p50 = 15287618995033505994312058498448412476743311363067
04/09/22 14:29:26, p84 = 552699943779810017905983957212066482524360482690754260204423123528599181684919581149
04/09/22 14:29:27, NFS elapsed time = 5424.5973 seconds.
execution environment 実行環境
Ubuntu 20.04, dual CPU setup

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 11:59:36 UTC 2022 年 3 月 23 日 (水) 20 時 59 分 36 秒 (日本時間)
4511e642131200Dmitry DomanovApril 5, 2022 20:56:47 UTC 2022 年 4 月 6 日 (水) 5 時 56 分 47 秒 (日本時間)
3013Taiyo KodamaApril 8, 2022 09:54:03 UTC 2022 年 4 月 8 日 (金) 18 時 54 分 3 秒 (日本時間)

203×10211-23

c171

name 名前Dmitry Domanov
date 日付March 24, 2022 05:52:47 UTC 2022 年 3 月 24 日 (木) 14 時 52 分 47 秒 (日本時間)
composite number 合成数
269970748465394474314547347062077888813275197290158076141727224323862378824655730465426088048750003066382313386645965503622379886325868423215948137573803081101865771199671<171>
prime factors 素因数
8751711571258275804165894545936806664299<40>
30847765750417603977117757891292793130113589702101078540849428802953660175336531083736627041400968194621467518038767264606251565029<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3746004273
Step 1 took 7869ms
Step 2 took 4027ms
********** Factor found in step 2: 8751711571258275804165894545936806664299
Found prime factor of 40 digits: 8751711571258275804165894545936806664299
Prime cofactor 30847765750417603977117757891292793130113589702101078540849428802953660175336531083736627041400968194621467518038767264606251565029 has 131 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 23, 2022 11:59:47 UTC 2022 年 3 月 23 日 (水) 20 時 59 分 47 秒 (日本時間)

203×10212-23

c151

composite cofactor 合成数の残り
2353274953785091411253822696478561507439006172002432425845610903636093917874948426058158298136180308510187124433142469018736436755886356403606285575999<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 11:59:57 UTC 2022 年 3 月 23 日 (水) 20 時 59 分 57 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 5, 2022 20:56:59 UTC 2022 年 4 月 6 日 (水) 5 時 56 分 59 秒 (日本時間)

203×10213-23

c175

composite cofactor 合成数の残り
1141869862855399027381407000493091297787388196591342094854846754204518018844540987022502882264715210268255507896390012764653898731662734670854724717605295486730280265013451497<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 12:00:07 UTC 2022 年 3 月 23 日 (水) 21 時 0 分 7 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 5, 2022 20:57:09 UTC 2022 年 4 月 6 日 (水) 5 時 57 分 9 秒 (日本時間)

203×10214-23

c178

composite cofactor 合成数の残り
1644261518535790514201538563569502605786313916185297182749374099931637279717798446164938084344561226823790204645331465586685028027640527892712168333867748599372090145870440377237<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 12:00:15 UTC 2022 年 3 月 23 日 (水) 21 時 0 分 15 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 5, 2022 20:57:18 UTC 2022 年 4 月 6 日 (水) 5 時 57 分 18 秒 (日本時間)

203×10215-23

c109

name 名前Ignacio Santos
date 日付March 16, 2022 15:42:37 UTC 2022 年 3 月 17 日 (木) 0 時 42 分 37 秒 (日本時間)
composite number 合成数
1897624017764501628593489159039415629289785581633940149684437936877319615781678433915888684872223080562787897<109>
prime factors 素因数
28921739521855563719179136262471036047459<41>
65612374951738507535796562379802553936071734398888184214024542223283<68>
factorization results 素因数分解の結果
prp41 = 28921739521855563719179136262471036047459
prp68 = 65612374951738507535796562379802553936071734398888184214024542223283
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

203×10216-23

c211

name 名前Dmitry Domanov
date 日付March 25, 2022 05:31:38 UTC 2022 年 3 月 25 日 (金) 14 時 31 分 38 秒 (日本時間)
composite number 合成数
1212902466879905675144353019481257030129082816418798994015109036406587993869238096375031259125522654908945499846845670278164422803077827840576051954193202791807514218771970787142512084481871308467111994263437373<211>
prime factors 素因数
18079574869231044215329843967489<32>
composite cofactor 合成数の残り
67086890906052180196098688945109890537287897445296341225651996818452158365844576446324931059370282349752280497229080140603270651567687483656922061806231277233859940262227238314557<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:186734895
Step 1 took 10690ms
********** Factor found in step 1: 18079574869231044215329843967489
Found prime factor of 32 digits: 18079574869231044215329843967489
Composite cofactor 67086890906052180196098688945109890537287897445296341225651996818452158365844576446324931059370282349752280497229080140603270651567687483656922061806231277233859940262227238314557 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 24, 2022 17:44:04 UTC 2022 年 3 月 25 日 (金) 2 時 44 分 4 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 5, 2022 20:57:25 UTC 2022 年 4 月 6 日 (水) 5 時 57 分 25 秒 (日本時間)

203×10219-23

c203

name 名前Erik Branger
date 日付June 26, 2024 17:16:17 UTC 2024 年 6 月 27 日 (木) 2 時 16 分 17 秒 (日本時間)
composite number 合成数
18439296968321113254798322844285552368208290249007217381395599916333917470287299722696493611338477967604921600224401007951081276821979404325750044933005371474510354808633502707219251928733911834675533799<203>
prime factors 素因数
2685034275948038305130950029829514369131<40>
2260353456244436327430012682317638779172820832288498638420751312177880368642468081<82>
3038212657254499188615204732030641968694189532864474056938625875742005649433562309<82>
factorization results 素因数分解の結果
Number: 67666_219
N = 18439296968321113254798322844285552368208290249007217381395599916333917470287299722696493611338477967604921600224401007951081276821979404325750044933005371474510354808633502707219251928733911834675533799 (203 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=2685034275948038305130950029829514369131 (pp40)
r2=2260353456244436327430012682317638779172820832288498638420751312177880368642468081 (pp82)
r3=3038212657254499188615204732030641968694189532864474056938625875742005649433562309 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 24.35 hours.
Factorization parameters were as follows:
n: 18439296968321113254798322844285552368208290249007217381395599916333917470287299722696493611338477967604921600224401007951081276821979404325750044933005371474510354808633502707219251928733911834675533799
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 203
c0: -20
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30392376
Relations: 7724008 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.57 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 6632330 x 6632555
Matrix solve time: 15.28 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 24.35 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 24, 2022 17:44:12 UTC 2022 年 3 月 25 日 (金) 2 時 44 分 12 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 12, 2022 17:13:13 UTC 2022 年 5 月 13 日 (金) 2 時 13 分 13 秒 (日本時間)

203×10220-23

c213

name 名前Erik Branger
date 日付August 21, 2024 19:51:20 UTC 2024 年 8 月 22 日 (木) 4 時 51 分 20 秒 (日本時間)
composite number 合成数
357678102034144297669338229955712378456342566218433243763723978830419451587572738850423052267833356111790157408279470473420540448870562130136593507141865614354150682001452441617129315521399408815325833884939040211<213>
prime factors 素因数
574339497005256570228524599374583504330299537973063610613137977461049339<72>
622764242924547976352375761614231529266814051735185360742161678456972618391867872577229678256570312866837501715281114925710177359052382333449<141>
factorization results 素因数分解の結果
Number: 67666_220
N = 357678102034144297669338229955712378456342566218433243763723978830419451587572738850423052267833356111790157408279470473420540448870562130136593507141865614354150682001452441617129315521399408815325833884939040211 (213 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=574339497005256570228524599374583504330299537973063610613137977461049339 (pp72)
r2=622764242924547976352375761614231529266814051735185360742161678456972618391867872577229678256570312866837501715281114925710177359052382333449 (pp141)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 13.44 hours.
Factorization parameters were as follows:
n: 357678102034144297669338229955712378456342566218433243763723978830419451587572738850423052267833356111790157408279470473420540448870562130136593507141865614354150682001452441617129315521399408815325833884939040211
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 203
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 8909766 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 0.00 hours.
Total relation processing time: 0.00 hours.
Pruned matrix : 
Matrix solve time: 13.05 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 13.44 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 24, 2022 17:44:20 UTC 2022 年 3 月 25 日 (金) 2 時 44 分 20 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 12, 2022 17:13:26 UTC 2022 年 5 月 13 日 (金) 2 時 13 分 26 秒 (日本時間)

203×10221-23

c212

name 名前Dmitry Domanov
date 日付March 25, 2022 08:46:46 UTC 2022 年 3 月 25 日 (金) 17 時 46 分 46 秒 (日本時間)
composite number 合成数
96943592250629945911820028584384363881354561281776087346565385500238374068899421766124544898235740108078680916432493099149588076221423304182276805528713001094385964594752107089968481714664734652429899113491890869<212>
prime factors 素因数
308734192139722078626301052049545957189<39>
314003420154890830336054671639743863683953496326122490198569626904234600366810931314844852149204655757776994617646261096413058071311842474638368581265149620369960099296339121<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3052342528
Step 1 took 12309ms
Step 2 took 5671ms
********** Factor found in step 2: 308734192139722078626301052049545957189
Found prime factor of 39 digits: 308734192139722078626301052049545957189
Prime cofactor 314003420154890830336054671639743863683953496326122490198569626904234600366810931314844852149204655757776994617646261096413058071311842474638368581265149620369960099296339121 has 174 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 24, 2022 17:44:28 UTC 2022 年 3 月 25 日 (金) 2 時 44 分 28 秒 (日本時間)

203×10222-23

c197

name 名前Dmitry Domanov
date 日付April 17, 2022 19:02:32 UTC 2022 年 4 月 18 日 (月) 4 時 2 分 32 秒 (日本時間)
composite number 合成数
21657475934407722914838858682753068172533118197616238066555417414299836508423952968625841970842640446107781373690713095002025893499209407915342022398576316838078646256557432805531812031792536733813<197>
prime factors 素因数
184075185608672222207064657529873334131301<42>
117655597427725138363465984412620484748873547573057679523569485316520333757653332392925304679331645118590908548770763391977218703895793461268769788522056913<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2477691588
Step 1 took 32970ms
Step 2 took 13163ms
********** Factor found in step 2: 184075185608672222207064657529873334131301
Found prime factor of 42 digits: 184075185608672222207064657529873334131301
Prime cofactor 117655597427725138363465984412620484748873547573057679523569485316520333757653332392925304679331645118590908548770763391977218703895793461268769788522056913 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 12:00:23 UTC 2022 年 3 月 23 日 (水) 21 時 0 分 23 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 00:45:04 UTC 2022 年 4 月 17 日 (日) 9 時 45 分 4 秒 (日本時間)

203×10224-23

c194

composite cofactor 合成数の残り
11680446986978137752818858415751355135458999719199501785135060440505057379130642488217881270730981067961579303290226051821773037368109756432534847817322811709843035483161783144177416580156787733<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 12:00:32 UTC 2022 年 3 月 23 日 (水) 21 時 0 分 32 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 00:45:12 UTC 2022 年 4 月 17 日 (日) 9 時 45 分 12 秒 (日本時間)

203×10226-23

c191

name 名前Dmitry Domanov
date 日付March 24, 2022 05:57:46 UTC 2022 年 3 月 24 日 (木) 14 時 57 分 46 秒 (日本時間)
composite number 合成数
58091237203399270476701717964672569479878487252711855400384887942219540322056336969213626253482220950422380930814563501777550316376209024053461827918037491995906803347799418131733204444217271<191>
prime factors 素因数
193097314998198707307487208125208775992879<42>
300839176370428402314756875909605561327685019008746735707150332537327844164433199984738855445921127547542673706668240500327405843297414005345923097849<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2435272347
Step 1 took 11256ms
Step 2 took 4408ms
********** Factor found in step 2: 193097314998198707307487208125208775992879
Found probable prime factor of 42 digits: 193097314998198707307487208125208775992879
Probable prime cofactor 300839176370428402314756875909605561327685019008746735707150332537327844164433199984738855445921127547542673706668240500327405843297414005345923097849 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 23, 2022 12:00:41 UTC 2022 年 3 月 23 日 (水) 21 時 0 分 41 秒 (日本時間)

203×10227-23

c229

composite cofactor 合成数の残り
3383333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 5, 2022 20:59:07 UTC 2022 年 4 月 6 日 (水) 5 時 59 分 7 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 17, 2022 16:45:21 UTC 2022 年 5 月 18 日 (水) 1 時 45 分 21 秒 (日本時間)

203×10228-23

c213

composite cofactor 合成数の残り
219973671714307187320101713334212419193835521499933153018322782646326344740475269198687219512174713571843541416110167424068967914440162957559414850338886493679706962745249673527322677164046418732074012081840775001<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 24, 2022 17:44:36 UTC 2022 年 3 月 25 日 (金) 2 時 44 分 36 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 12, 2022 17:13:37 UTC 2022 年 5 月 13 日 (金) 2 時 13 分 37 秒 (日本時間)

203×10231-23

c217

name 名前Dmitry Domanov
date 日付March 25, 2022 05:36:42 UTC 2022 年 3 月 25 日 (金) 14 時 36 分 42 秒 (日本時間)
composite number 合成数
6594451811122909047379685370270307319385560394367627607650026025585249590247470384384356888203192519458553284884379413032769393858659435013754205847627719308851611555140384883462503241386158575911405698566249461608797<217>
prime factors 素因数
2229567968293539722048843530073687377<37>
composite cofactor 合成数の残り
2957726297157987736310792955709191310066176501699321959855601250513088243773100874894700913810866649173282153358797491866884451181419873084573841074058642973944223600309808174864461<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:309374406
Step 1 took 29353ms
Step 2 took 12096ms
********** Factor found in step 2: 2229567968293539722048843530073687377
Found prime factor of 37 digits: 2229567968293539722048843530073687377
Composite cofactor 2957726297157987736310792955709191310066176501699321959855601250513088243773100874894700913810866649173282153358797491866884451181419873084573841074058642973944223600309808174864461 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 24, 2022 17:44:43 UTC 2022 年 3 月 25 日 (金) 2 時 44 分 43 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 00:45:20 UTC 2022 年 4 月 17 日 (日) 9 時 45 分 20 秒 (日本時間)

203×10232-23

c124

name 名前Eric Jeancolas
date 日付March 22, 2022 13:35:31 UTC 2022 年 3 月 22 日 (火) 22 時 35 分 31 秒 (日本時間)
composite number 合成数
5891377611352410979767577404922153647273447021565431007712660905485716128919078942408172196769536534445762602216500275832131<124>
prime factors 素因数
142254123050240774171790067989133507668738706441<48>
41414459454870889575894071183267008883963027847541526543593596660873898906091<77>
factorization results 素因数分解の結果
5891377611352410979767577404922153647273447021565431007712660905485716128919078942408172196769536534445762602216500275832131=142254123050240774171790067989133507668738706441*41414459454870889575894071183267008883963027847541526543593596660873898906091

cado polynomial
n: 5891377611352410979767577404922153647273447021565431007712660905485716128919078942408172196769536534445762602216500275832131
skew: 239704.624
c0: 2072941238665421869327199910720
c1: -115019047632772895688028596
c2: -325152848621256452045
c3: 2271358156518409
c4: 3509169180
c5: -10800
Y0: -2020905865936586416240025
Y1: 171175846927471777
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.815e-07
# f(x) = -10800*x^5+3509169180*x^4+2271358156518409*x^3-325152848621256452045*x^2-115019047632772895688028596*x+2072941238665421869327199910720
# g(x) = 171175846927471777*x-2020905865936586416240025

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 41414459454870889575894071183267008883963027847541526543593596660873898906091 142254123050240774171790067989133507668738706441
Info:Square Root: Total cpu/real time for sqrt: 233.5/69.6536
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.93/106.461
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.8s
Info:Square Root: Total cpu/real time for sqrt: 233.5/69.6536
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.14/63.4154
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11620645
Info:Lattice Sieving: Average J: 3864.01 for 164752 special-q, max bucket fill -bkmult 1.0,1s:1.197870
Info:Lattice Sieving: Total time: 50734.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.57/2.29563
Info:Linear Algebra: Total cpu/real time for bwc: 7443.83/1917.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4677.73, WCT time 1198.2, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22272 iterations)
Info:Linear Algebra: Lingen CPU time 121.8, WCT time 30.99
Info:Linear Algebra: Mksol: CPU time 2536.37,  WCT time 649.02, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.02/33.0746
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.75/56.4389
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2456.44
Info:Polynomial Selection (root optimized): Rootsieve time: 2454.03
Info:Filtering - Merging: Merged matrix has 704358 rows and total weight 119772648 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 137.56/40.0462
Info:Filtering - Merging: Total cpu/real time for replay: 25.63/21.021
Info:Quadratic Characters: Total cpu/real time for characters: 25.71/10.2267
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19996/36.360/44.083/47.540/0.868
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15910/36.050/39.452/44.830/0.915
Info:Polynomial Selection (size optimized): Total time: 1963.93
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 107180/29188.6
Info:root: Cleaning up computation data in /tmp/cado.ifyha4r4
41414459454870889575894071183267008883963027847541526543593596660873898906091 142254123050240774171790067989133507668738706441
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 18, 2022 22:59:50 UTC 2022 年 3 月 19 日 (土) 7 時 59 分 50 秒 (日本時間)

203×10234-23

c189

name 名前Dmitry Domanov
date 日付March 24, 2022 12:16:54 UTC 2022 年 3 月 24 日 (木) 21 時 16 分 54 秒 (日本時間)
composite number 合成数
229158270826905340787805797686710576052404312075949272492431408306711572437229559339572595169616070472972270466240590503695929708003786638204505519351250368828634877075957213643312941407783<189>
prime factors 素因数
1958154557376333789546917819039242351<37>
composite cofactor 合成数の残り
117027672797160042154013591997595355674985511869845736433416328309474906263353170830470600126579582430590893172563891864922569980524721339256077188940233<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2173801311
Step 1 took 11324ms
********** Factor found in step 1: 1958154557376333789546917819039242351
Found probable prime factor of 37 digits: 1958154557376333789546917819039242351
Composite cofactor 117027672797160042154013591997595355674985511869845736433416328309474906263353170830470600126579582430590893172563891864922569980524721339256077188940233 has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 23, 2022 12:49:39 UTC 2022 年 3 月 23 日 (水) 21 時 49 分 39 秒 (日本時間)
2350Ignacio SantosMarch 24, 2022 19:16:53 UTC 2022 年 3 月 25 日 (金) 4 時 16 分 53 秒 (日本時間)
4511e64480Ignacio SantosMarch 27, 2022 20:26:50 UTC 2022 年 3 月 28 日 (月) 5 時 26 分 50 秒 (日本時間)
5043e6114545000yoyo@HomeDecember 7, 2022 01:41:56 UTC 2022 年 12 月 7 日 (水) 10 時 41 分 56 秒 (日本時間)
6454Ignacio SantosFebruary 21, 2024 11:05:43 UTC 2024 年 2 月 21 日 (水) 20 時 5 分 43 秒 (日本時間)

203×10235-23

c182

composite cofactor 合成数の残り
59719473981113658306622098038640332552194685359527148915806638468710144214972353726526131901045660266185131161367110944129153167407275430163361776732762032265463613711915224172734329<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 12:49:47 UTC 2022 年 3 月 23 日 (水) 21 時 49 分 47 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 00:45:27 UTC 2022 年 4 月 17 日 (日) 9 時 45 分 27 秒 (日本時間)

203×10236-23

c238

name 名前Dmitry Domanov
date 日付April 9, 2022 22:19:56 UTC 2022 年 4 月 10 日 (日) 7 時 19 分 56 秒 (日本時間)
composite number 合成数
3383333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<238>
prime factors 素因数
99064049183202390327477125790457627<35>
composite cofactor 合成数の残り
34152988508236971030706235723468311070823773688086037778472254035575250475818873335889169781593844628811919957285104502150985779919995912518070677975460706132000071892123340902242215653701128761065190479<203>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b172c2c7cefa with GMP-ECM 7.0.5-dev on Tue Apr  5 22:50:36 2022 
Input number is 3383333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (238 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2320606974
Step 1 took 0ms
Step 2 took 4152ms
********** Factor found in step 2: 99064049183202390327477125790457627
Found prime factor of 35 digits: 99064049183202390327477125790457627
Composite cofactor 34152988508236971030706235723468311070823773688086037778472254035575250475818873335889169781593844628811919957285104502150985779919995912518070677975460706132000071892123340902242215653701128761065190479 has 203 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 5, 2022 20:59:17 UTC 2022 年 4 月 6 日 (水) 5 時 59 分 17 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 12, 2022 17:13:48 UTC 2022 年 5 月 13 日 (金) 2 時 13 分 48 秒 (日本時間)

203×10238-23

c184

composite cofactor 合成数の残り
6421192270766494441067724168454012528282011034017564984717517973257072646232730268467874240700037913468969361833445290526484347797751029086555041020594813756583000111870156841164502769<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 12:50:06 UTC 2022 年 3 月 23 日 (水) 21 時 50 分 6 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 00:45:35 UTC 2022 年 4 月 17 日 (日) 9 時 45 分 35 秒 (日本時間)

203×10239-23

c206

composite cofactor 合成数の残り
78577507963552691892904247534039805194786308623707615825098210430416250102406136328860540998660997928923801504502087126291875247038283913225794544153312001915158488912270330559840623363241663547586335693579<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 24, 2022 17:44:51 UTC 2022 年 3 月 25 日 (金) 2 時 44 分 51 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 12, 2022 17:14:01 UTC 2022 年 5 月 13 日 (金) 2 時 14 分 1 秒 (日本時間)

203×10240-23

c191

composite cofactor 合成数の残り
39028416393487170541457691148364062185753280789369344851137779961469066528052112812116460594128390414039150029892140683341602857169920981688887822595947910440823727619100562179747913924406719<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 12:50:14 UTC 2022 年 3 月 23 日 (水) 21 時 50 分 14 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 00:45:43 UTC 2022 年 4 月 17 日 (日) 9 時 45 分 43 秒 (日本時間)

203×10241-23

c239

composite cofactor 合成数の残り
22611330169974826794983180734701151729822450934527389783688654236004366325825926173450065717659114705161620887077012185613401947024883601773262937467976564414444518701686381964401078215152932789770322350687250774131747198645547907059635991<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 5, 2022 20:59:26 UTC 2022 年 4 月 6 日 (水) 5 時 59 分 26 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 20, 2022 23:30:35 UTC 2022 年 5 月 21 日 (土) 8 時 30 分 35 秒 (日本時間)

203×10243-23

c201

composite cofactor 合成数の残り
127191738250404580732665657462727144133292375423744750288455784771999482894664722377810974298574556972893018777574449681719064952149574834714119697089385934253718069580989497607370113076876721863407973<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 24, 2022 17:55:46 UTC 2022 年 3 月 25 日 (金) 2 時 55 分 46 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 12, 2022 17:14:14 UTC 2022 年 5 月 13 日 (金) 2 時 14 分 14 秒 (日本時間)

203×10244-23

c206

composite cofactor 合成数の残り
40662991521190057283268952769980911719199211444929833380293696390665883808724424584127193525046527523881410167286550837394322130187479665653959730329580367760610301455244917398633465146369117065312056916189<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 24, 2022 17:55:56 UTC 2022 年 3 月 25 日 (金) 2 時 55 分 56 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 12, 2022 17:14:25 UTC 2022 年 5 月 13 日 (金) 2 時 14 分 25 秒 (日本時間)

203×10246-23

c239

name 名前Dmitry Domanov
date 日付May 21, 2022 04:54:05 UTC 2022 年 5 月 21 日 (土) 13 時 54 分 5 秒 (日本時間)
composite number 合成数
33665832384553060421067414938117637776457982065821029449232650652509488277865131436250543813892237707734508766152725827404391352004959211278497508109980444738561538990800045776377590048185182822901452270607604528370483358800440978091378467<239>
prime factors 素因数
77442212307166636852503184957603533497<38>
434721986647553014326343877002106317340019029200748373825440396400135397220608404911220193160022619806410199016203763790526571987348482920003633538905499581907918680483714402533614260794367854450830011<201>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1343034733
Step 1 took 46845ms
Step 2 took 19471ms
********** Factor found in step 2: 77442212307166636852503184957603533497
Found prime factor of 38 digits: 77442212307166636852503184957603533497
Prime cofactor 434721986647553014326343877002106317340019029200748373825440396400135397220608404911220193160022619806410199016203763790526571987348482920003633538905499581907918680483714402533614260794367854450830011 has 201 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 5, 2022 20:59:34 UTC 2022 年 4 月 6 日 (水) 5 時 59 分 34 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 20, 2022 23:30:45 UTC 2022 年 5 月 21 日 (土) 8 時 30 分 45 秒 (日本時間)

203×10247-23

c198

composite cofactor 合成数の残り
656068118428168375176025898774195457041819646398113626508068106390201158561611559753608133280783741379678298197038023273811049316384932413502304468827212589143999938589266433354519581893644176791977<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 12:50:24 UTC 2022 年 3 月 23 日 (水) 21 時 50 分 24 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 00:45:52 UTC 2022 年 4 月 17 日 (日) 9 時 45 分 52 秒 (日本時間)

203×10249-23

c194

composite cofactor 合成数の残り
29730692727464883617792562698782656689809069969190098466290959601897848676509125388200875778069541876662298471716324042496245071517193006654413431418110682190641638470300085734171672472026223481<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 23, 2022 12:50:33 UTC 2022 年 3 月 23 日 (水) 21 時 50 分 33 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 00:46:00 UTC 2022 年 4 月 17 日 (日) 9 時 46 分 0 秒 (日本時間)

203×10250-23

c231

composite cofactor 合成数の残り
376459963341869082238326489013475975767825160702699427867143114068655369649134977667484695050815549805842860553079466242598620171026984618147867184463288873426333816648576817560672598545327604983996355098532344246127663511431892507<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 5, 2022 20:59:42 UTC 2022 年 4 月 6 日 (水) 5 時 59 分 42 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 20, 2022 23:30:54 UTC 2022 年 5 月 21 日 (土) 8 時 30 分 54 秒 (日本時間)

203×10252-23

c223

name 名前Dmitry Domanov
date 日付April 9, 2022 10:42:00 UTC 2022 年 4 月 9 日 (土) 19 時 42 分 0 秒 (日本時間)
composite number 合成数
1428528758859480481112487154087578676291753240004554011162551285968252513592671217546963029520157313136530576011130209588906917783367074118129252703254044799932009864353660640171864756389134367552901138714129186043547762223<223>
prime factors 素因数
4819975894417224973182417364773885751<37>
composite cofactor 合成数の残り
296376743401162060312794817640107137581943262387854774435442618080049795743113327222598246545356254873113125908658182295842779881270273574256742275077737524847760694757489137447253302473<186>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b172c2c7cefa with GMP-ECM 7.0.5-dev on Tue Apr  5 23:08:22 2022 
Input number is 1428528758859480481112487154087578676291753240004554011162551285968252513592671217546963029520157313136530576011130209588906917783367074118129252703254044799932009864353660640171864756389134367552901138714129186043547762223 (223 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2171260311
Step 1 took 0ms
Step 2 took 5865ms
********** Factor found in step 2: 4819975894417224973182417364773885751
Found prime factor of 37 digits: 4819975894417224973182417364773885751
Composite cofactor 296376743401162060312794817640107137581943262387854774435442618080049795743113327222598246545356254873113125908658182295842779881270273574256742275077737524847760694757489137447253302473 has 186 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 5, 2022 20:59:50 UTC 2022 年 4 月 6 日 (水) 5 時 59 分 50 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 17, 2022 00:46:11 UTC 2022 年 4 月 17 日 (日) 9 時 46 分 11 秒 (日本時間)

203×10254-23

c192

name 名前Dmitry Domanov
date 日付March 24, 2022 06:00:24 UTC 2022 年 3 月 24 日 (木) 15 時 0 分 24 秒 (日本時間)
composite number 合成数
581758408581749314717130694961629743913497039922195662760870928074663384966625670409713663719842209281282813877421288186039696709749493434147865881345287643306253525572482514624569852231427277<192>
prime factors 素因数
668288772279664322445877359468873311<36>
composite cofactor 合成数の残り
870519501019382783059269718806831051075463799195734124965265832572039627586873477196754458288021121824542935005972694781177554787466895882309285798711553107<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4195110411
Step 1 took 9208ms
Step 2 took 4337ms
********** Factor found in step 2: 668288772279664322445877359468873311
Found prime factor of 36 digits: 668288772279664322445877359468873311
Composite cofactor 870519501019382783059269718806831051075463799195734124965265832572039627586873477196754458288021121824542935005972694781177554787466895882309285798711553107 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 23, 2022 12:50:41 UTC 2022 年 3 月 23 日 (水) 21 時 50 分 41 秒 (日本時間)
2350Ignacio SantosMarch 26, 2022 20:50:27 UTC 2022 年 3 月 27 日 (日) 5 時 50 分 27 秒 (日本時間)
4511e64480Ignacio SantosMarch 27, 2022 20:27:05 UTC 2022 年 3 月 28 日 (月) 5 時 27 分 5 秒 (日本時間)

203×10256-23

c233

composite cofactor 合成数の残り
60720068902446370963124056606838878410859934021305491766635623454524296204014407265284873154783016198500621505240485076946836372466440302560206792850781730087232771693883202448604358305166978393468121544086677280487488110521210042673<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 5, 2022 20:59:58 UTC 2022 年 4 月 6 日 (水) 5 時 59 分 58 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 20, 2022 23:31:02 UTC 2022 年 5 月 21 日 (土) 8 時 31 分 2 秒 (日本時間)

203×10257-23

c203

composite cofactor 合成数の残り
45749156580996719564123602216354391424905916833458230643014238870208967031070908846866478481694165542964055364922994573983096769526908321201015294507050761863666363614459132512471950817612640346456045769<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 24, 2022 17:56:04 UTC 2022 年 3 月 25 日 (金) 2 時 56 分 4 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 12, 2022 17:14:35 UTC 2022 年 5 月 13 日 (金) 2 時 14 分 35 秒 (日本時間)

203×10258-23

c219

composite cofactor 合成数の残り
510580233125425114541526515552823213944660006631575353596700629492960397555814225737453000068124472333941514884158330215342579095408478266851595027025222183402801273578325051215198874577691302213360080869746598199761769<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 24, 2022 17:56:11 UTC 2022 年 3 月 25 日 (金) 2 時 56 分 11 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 12, 2022 17:14:46 UTC 2022 年 5 月 13 日 (金) 2 時 14 分 46 秒 (日本時間)

203×10259-23

c260

composite cofactor 合成数の残り
26025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 22, 2022 06:17:26 UTC 2022 年 3 月 22 日 (火) 15 時 17 分 26 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 14, 2022 22:07:10 UTC 2022 年 5 月 15 日 (日) 7 時 7 分 10 秒 (日本時間)

203×10260-23

c228

composite cofactor 合成数の残り
601373696285301431056471312038211222361531210704292579315976812904299031768637672485213441084748286101068292137479176004611790365956578662297640225276624881098671822777846927289183222262041767347372918564879306493036079313827547<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 5, 2022 21:00:07 UTC 2022 年 4 月 6 日 (水) 6 時 0 分 7 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 17, 2022 16:45:33 UTC 2022 年 5 月 18 日 (水) 1 時 45 分 33 秒 (日本時間)

203×10261-23

c263

composite cofactor 合成数の残り
33833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 22, 2022 06:17:36 UTC 2022 年 3 月 22 日 (火) 15 時 17 分 36 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 14, 2022 22:07:20 UTC 2022 年 5 月 15 日 (日) 7 時 7 分 20 秒 (日本時間)

203×10262-23

c252

composite cofactor 合成数の残り
851452375313358612895014770172553153537432815705421061604037541193025277505596757540527294076684500132126094940492343310445220042542744229472165032523325350294566729778550046724133906302413055326878217955435939545828011371040972746821606018250207735673<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 22, 2022 06:17:44 UTC 2022 年 3 月 22 日 (火) 15 時 17 分 44 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 14, 2022 22:07:29 UTC 2022 年 5 月 15 日 (日) 7 時 7 分 29 秒 (日本時間)

203×10263-23

c238

composite cofactor 合成数の残り
2773148442209004075388347605144542009300270737299777890719777575306982700769326611221725765020073824976213903264631277650571582774288522669719511469768647503406083149261026949201492994919936434975187972827223117354364938990771647321168273<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 5, 2022 21:00:15 UTC 2022 年 4 月 6 日 (水) 6 時 0 分 15 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 20, 2022 23:31:11 UTC 2022 年 5 月 21 日 (土) 8 時 31 分 11 秒 (日本時間)

203×10264-23

c250

composite cofactor 合成数の残り
8161782037384877871681144215920161281369633177461985760224246909507587282329768951603258952809863339073088172728217050484601006097572740297821583217780487578307252502593613028314356010361787703742562006899233069696784043533257640370244385300455507717<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 22, 2022 06:17:53 UTC 2022 年 3 月 22 日 (火) 15 時 17 分 53 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 10:11:56 UTC 2022 年 8 月 6 日 (土) 19 時 11 分 56 秒 (日本時間)

203×10265-23

c238

name 名前Dmitry Domanov
date 日付April 9, 2022 20:39:52 UTC 2022 年 4 月 10 日 (日) 5 時 39 分 52 秒 (日本時間)
composite number 合成数
2642647488741696467265970119844368407075289871828900524226884989365405891646406808726643941602582323121386247586366742298089671234198988549197838272165953382928794989884546881032599264925590810453876417811091976944745525230335921941705131<238>
prime factors 素因数
27460193433371025391851235623780574261<38>
96235574419887977544269559901122760429163835148462328991120550433624453570101397666239217766707563273607797763361494009793571422170797183123751604820629688474367512822162642211306875144468099376216671<200>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b172c2c7cefa with GMP-ECM 7.0.5-dev on Tue Apr  5 23:26:09 2022 
Input number is 2642647488741696467265970119844368407075289871828900524226884989365405891646406808726643941602582323121386247586366742298089671234198988549197838272165953382928794989884546881032599264925590810453876417811091976944745525230335921941705131 (238 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3991210018
Step 1 took 0ms
Step 2 took 4809ms
********** Factor found in step 2: 27460193433371025391851235623780574261
Found prime factor of 38 digits: 27460193433371025391851235623780574261
Prime cofactor 96235574419887977544269559901122760429163835148462328991120550433624453570101397666239217766707563273607797763361494009793571422170797183123751604820629688474367512822162642211306875144468099376216671 has 200 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovApril 5, 2022 21:00:23 UTC 2022 年 4 月 6 日 (水) 6 時 0 分 23 秒 (日本時間)

203×10266-23

c253

composite cofactor 合成数の残り
2329725372818121097863913318669701178041639492260314536921593079475330333289969404063693487864435930644379477131922636410741949976604175002103864588106702555886398940160423017475725189957024922164109691024009419031124165027150727201201910580671858723499<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 22, 2022 06:18:02 UTC 2022 年 3 月 22 日 (火) 15 時 18 分 2 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 14, 2022 22:07:39 UTC 2022 年 5 月 15 日 (日) 7 時 7 分 39 秒 (日本時間)

203×10268-23

c175

name 名前Bob Backstrom
date 日付October 31, 2023 04:30:18 UTC 2023 年 10 月 31 日 (火) 13 時 30 分 18 秒 (日本時間)
composite number 合成数
1153627509925047480657776987605180614397025855448921362852672352003387681093547627282061743105580394250397054086163782997752215911652127474080539047280537026698678285527234777<175>
prime factors 素因数
294450508172307466428994070865998263892322374975757117673<57>
3917899537975883327549993869540565485791230204377513930747502840683114294355678532127381816394228605616474053221505649<118>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 1153627509925047480657776987605180614397025855448921362852672352003387681093547627282061743105580394250397054086163782997752215911652127474080539047280537026698678285527234777 (175 digits)
Using B1=60740000, B2=388130449990, polynomial Dickson(30), sigma=1:1141423105
Step 1 took 212165ms
Step 2 took 23019ms
********** Factor found in step 2: 294450508172307466428994070865998263892322374975757117673
Found prime factor of 57 digits: 294450508172307466428994070865998263892322374975757117673
Prime cofactor 3917899537975883327549993869540565485791230204377513930747502840683114294355678532127381816394228605616474053221505649 has 118 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 19, 2022 11:39:00 UTC 2022 年 3 月 19 日 (土) 20 時 39 分 0 秒 (日本時間)
4511e64480Ignacio SantosMarch 20, 2022 20:33:55 UTC 2022 年 3 月 21 日 (月) 5 時 33 分 55 秒 (日本時間)

203×10269-23

c254

composite cofactor 合成数の残り
10104487087343852385940722967548164281649078516838321515486194002484720709141965831488356849078178230960333340030302397496671154882516835173271060560627716024657342458321594159240909750315581089127381360746185425450287061478115701267966991022386812792183<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 22, 2022 06:18:11 UTC 2022 年 3 月 22 日 (火) 15 時 18 分 11 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 14, 2022 22:07:47 UTC 2022 年 5 月 15 日 (日) 7 時 7 分 47 秒 (日本時間)

203×10275-23

c210

name 名前Dmitry Domanov
date 日付March 25, 2022 19:14:49 UTC 2022 年 3 月 26 日 (土) 4 時 14 分 49 秒 (日本時間)
composite number 合成数
825852139740204676962679832765684710667472028036869243260018356836157519839539867762390420352645717441100070793052760745859401808965633428696262384586838848905022150102864261876714747885669465417423653901943873<210>
prime factors 素因数
841325527039557453309752984128409627072371<42>
composite cofactor 合成数の残り
981608323054453988479762774824652238484058510518144156208685449218313498919140526543398523330905152092656264172107600759030489375389776485196907144188264208661764669563<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:370131838
Step 1 took 24381ms
********** Factor found in step 1: 841325527039557453309752984128409627072371
Found prime factor of 42 digits: 841325527039557453309752984128409627072371
Composite cofactor 981608323054453988479762774824652238484058510518144156208685449218313498919140526543398523330905152092656264172107600759030489375389776485196907144188264208661764669563 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 24, 2022 17:56:19 UTC 2022 年 3 月 25 日 (金) 2 時 56 分 19 秒 (日本時間)
2350Ignacio SantosMarch 26, 2022 21:13:05 UTC 2022 年 3 月 27 日 (日) 6 時 13 分 5 秒 (日本時間)
4511e64480Ignacio SantosMarch 27, 2022 22:02:34 UTC 2022 年 3 月 28 日 (月) 7 時 2 分 34 秒 (日本時間)
5043e61792 / 6415Dmitry DomanovJune 16, 2024 13:19:25 UTC 2024 年 6 月 16 日 (日) 22 時 19 分 25 秒 (日本時間)

203×10276-23

c233

composite cofactor 合成数の残り
21400577587208432690706788614526485265506456380966889135476018399454907277253921782486314596773209902538524174944632469062361536940551676740156502826897046148746664550214820579027526293327113194570651271095506867620506340979418446631<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 5, 2022 21:00:32 UTC 2022 年 4 月 6 日 (水) 6 時 0 分 32 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 20, 2022 23:31:19 UTC 2022 年 5 月 21 日 (土) 8 時 31 分 19 秒 (日本時間)

203×10277-23

c265

composite cofactor 合成数の残り
1587503849360661267613057231605295539836702299555299818141758042568303852613540692871112038464353620894201954725737385416870685926567597530317302687060414391426519032944431206208412860812755680812786651193874153672115365739553421999781134839102100680618288256652009<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 22, 2022 06:18:20 UTC 2022 年 3 月 22 日 (火) 15 時 18 分 20 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 14, 2022 22:07:57 UTC 2022 年 5 月 15 日 (日) 7 時 7 分 57 秒 (日本時間)

203×10279-23

c254

composite cofactor 合成数の残り
29782183962556135097275994461844254532448116997897489283420733143153255079072265398925601661874380210011125814162318333336307031918523550153475968078623245014881693685436372816980518413793139094093803167184887082330976027795588012784913371989442260662213<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 22, 2022 06:18:29 UTC 2022 年 3 月 22 日 (火) 15 時 18 分 29 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 14, 2022 22:08:25 UTC 2022 年 5 月 15 日 (日) 7 時 8 分 25 秒 (日本時間)

203×10281-23

c277

composite cofactor 合成数の残り
1371225633894644208827802025279996844154600218828697712565979257071302517097427405085855611697000474322482818137518935410138990942750721852351557394844218635780450969767244243115197678724400804794615392825072002855391625418443349535411192740690965325283766025946290915717987927<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 17, 2022 21:43:28 UTC 2022 年 3 月 18 日 (金) 6 時 43 分 28 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 26, 2022 11:42:18 UTC 2022 年 4 月 26 日 (火) 20 時 42 分 18 秒 (日本時間)

203×10282-23

c266

name 名前Dmitry Domanov
date 日付March 23, 2022 13:07:05 UTC 2022 年 3 月 23 日 (水) 22 時 7 分 5 秒 (日本時間)
composite number 合成数
37647077002114841534740954102395157323087755434506125649902411470527599542613392351539613882760582781251168066516607205846160484320891560192543002983526749827104109441289478159817797004942594459086835347615813514002793790368040837459656322110794459358307438549770601<266>
prime factors 素因数
10380047172832987025530994601186041<35>
3626869548401095287202552616969913152589942291802328971193856481644891857804750579047555626814433949896627034420089362025068846821330657318449057515189582010322263221332487040811484572466757911444785443334588068623345935105334898161<232>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b64e15f73cf7 with GMP-ECM 7.0.5-dev on Tue Mar 22 08:33:54 2022 
Input number is 37647077002114841534740954102395157323087755434506125649902411470527599542613392351539613882760582781251168066516607205846160484320891560192543002983526749827104109441289478159817797004942594459086835347615813514002793790368040837459656322110794459358307438549770601 (266 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2466922512
Step 1 took 0ms
Step 2 took 14303ms
********** Factor found in step 2: 10380047172832987025530994601186041
Found prime factor of 35 digits: 10380047172832987025530994601186041
Prime cofactor 3626869548401095287202552616969913152589942291802328971193856481644891857804750579047555626814433949896627034420089362025068846821330657318449057515189582010322263221332487040811484572466757911444785443334588068623345935105334898161 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 22, 2022 06:18:38 UTC 2022 年 3 月 22 日 (火) 15 時 18 分 38 秒 (日本時間)

203×10283-23

c240

composite cofactor 合成数の残り
465102200390453807662385474972576432245947968457183675654501947875204687940398403227927156787155444847976228870054255192933152434662436440525289445231061579362188535933882730566739918158799721674600033789685701467714903720265883511236363559<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 5, 2022 21:00:40 UTC 2022 年 4 月 6 日 (水) 6 時 0 分 40 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 10:12:15 UTC 2022 年 8 月 6 日 (土) 19 時 12 分 15 秒 (日本時間)

203×10284-23

c248

composite cofactor 合成数の残り
41096360871943457240612058708290246065797181315698601365744943617675267445866532947677188839706908943493156618408303590444947626769609196258419302624028695727214754094416341467629238589676633643981149867436035592815844939098886102922257111275800019<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 5, 2022 21:00:48 UTC 2022 年 4 月 6 日 (水) 6 時 0 分 48 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 10:12:27 UTC 2022 年 8 月 6 日 (土) 19 時 12 分 27 秒 (日本時間)

203×10285-23

c277

composite cofactor 合成数の残り
6557601914714475667265134156223358221939994062059808837488489270958362271408741407436356143853843404612675888653509076695096125102232779650330292992818182026445146702965152427724489068987066002481190726895442515453955269961995326361452365683611737495238051196483955006518898819<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 17, 2022 21:43:22 UTC 2022 年 3 月 18 日 (金) 6 時 43 分 22 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 26, 2022 11:43:35 UTC 2022 年 4 月 26 日 (火) 20 時 43 分 35 秒 (日本時間)

203×10286-23

c201

composite cofactor 合成数の残り
956137464211065423955127459684917768386052900907619758531629338030759981809450482180400206941868114454843405418134118870942319662822453146648137563556168276126262770327345609923010545062115095195661473<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 24, 2022 17:56:28 UTC 2022 年 3 月 25 日 (金) 2 時 56 分 28 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 12, 2022 17:14:55 UTC 2022 年 5 月 13 日 (金) 2 時 14 分 55 秒 (日本時間)

203×10287-23

c259

composite cofactor 合成数の残り
1738630650794856248703501225814046919630164468556532443274835067967172557054630967948454034805262793636516464475053445090834144147273616114530564550795115300136639716352685183104459764098793536609247409142200279876694975908134604615097774278779500261446162567<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 22, 2022 06:18:48 UTC 2022 年 3 月 22 日 (火) 15 時 18 分 48 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 14, 2022 22:08:34 UTC 2022 年 5 月 15 日 (日) 7 時 8 分 34 秒 (日本時間)

203×10288-23

c251

composite cofactor 合成数の残り
68491543137525607665115963513783067339546578575229178794356744781932134330366966316809164372397832924928524923286735747625954405296749555149247601504834007718168037261447680214835400160054149540912703589182719860003535236206284887635024249836763133681<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 22, 2022 06:18:57 UTC 2022 年 3 月 22 日 (火) 15 時 18 分 57 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 14, 2022 22:08:50 UTC 2022 年 5 月 15 日 (日) 7 時 8 分 50 秒 (日本時間)

203×10290-23

c284

composite cofactor 合成数の残り
29009376079000527933489771895617565559625147072892362293427769798865591635207284438964539959010809085017498384199187899236358041516372733236291111312528591919724957275262427175855469423621738176822219028237518036436673788139816401287893972656768147380388890664224597368937618086202187<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 17, 2022 21:43:06 UTC 2022 年 3 月 18 日 (金) 6 時 43 分 6 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 26, 2022 11:43:36 UTC 2022 年 4 月 26 日 (火) 20 時 43 分 36 秒 (日本時間)

203×10292-23

c286

composite cofactor 合成数の残り
2312724928591541791653784048286725284058502589537595623400256552057384032720605459264436674402629018202628521935151234016134266337153264515708074425201669215027505100862935545944387222920714519169300831878498336812412153621507016633124522070551594761576413556103474649097594898002120329<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 17, 2022 21:42:59 UTC 2022 年 3 月 18 日 (金) 6 時 42 分 59 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 26, 2022 11:43:07 UTC 2022 年 4 月 26 日 (火) 20 時 43 分 7 秒 (日本時間)

203×10294-23

c289

composite cofactor 合成数の残り
9637942843295690282285375594430807309225942151642728010701060164217252335491947664925854783453465780507673654127750505089925804932024965975213110109081572414707291877645033710485502587384094241799178885251791968944364191557484916619450242244708223387194715786561061400532679130663252840843<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 17, 2022 21:42:51 UTC 2022 年 3 月 18 日 (金) 6 時 42 分 51 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 26, 2022 11:43:15 UTC 2022 年 4 月 26 日 (火) 20 時 43 分 15 秒 (日本時間)

203×10295-23

c278

name 名前Dmitry Domanov
date 日付April 28, 2022 12:46:15 UTC 2022 年 4 月 28 日 (木) 21 時 46 分 15 秒 (日本時間)
composite number 合成数
54965494585939317341366110326338685707281275893173779730335111197220750830299916355989166606329940658175165253071010726378411220156045577416584297899438500980336178386641940963091818271681702008444384809861498906281941477783108547567012932437754785283324492718520767047668728921<278>
prime factors 素因数
14332746709440265643266918226619325591507<41>
3834958902171646316323618493046812053490556445971561782178405027829719047309486974031620897505603362286796889889787244955757955504347317328687095648805344097930732788986245651230123079796418014189944961699606138453200088878913054877879203<238>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f3d5b906a191 with GMP-ECM 7.0.5-dev on Wed Apr 27 01:04:51 2022 
Input number is 54965494585939317341366110326338685707281275893173779730335111197220750830299916355989166606329940658175165253071010726378411220156045577416584297899438500980336178386641940963091818271681702008444384809861498906281941477783108547567012932437754785283324492718520767047668728921 (278 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1325457193
Step 1 took 0ms
Step 2 took 17904ms
********** Factor found in step 2: 14332746709440265643266918226619325591507
Found prime factor of 41 digits: 14332746709440265643266918226619325591507
Prime cofactor 3834958902171646316323618493046812053490556445971561782178405027829719047309486974031620897505603362286796889889787244955757955504347317328687095648805344097930732788986245651230123079796418014189944961699606138453200088878913054877879203 has 238 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 17, 2022 21:42:43 UTC 2022 年 3 月 18 日 (金) 6 時 42 分 43 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 26, 2022 11:44:07 UTC 2022 年 4 月 26 日 (火) 20 時 44 分 7 秒 (日本時間)

203×10297-23

c258

name 名前Dmitry Domanov
date 日付May 15, 2022 20:02:00 UTC 2022 年 5 月 16 日 (月) 5 時 2 分 0 秒 (日本時間)
composite number 合成数
373102516777947190147651739963605313838563499493947024435648185623706893613967112641992677411603961695482499641135070320437910110998600839551452203095043557303540645005190917433837414509642129136495329787715671526803967816752822548032969681733638485757200341<258>
prime factors 素因数
575117983627392425350035624005825696519<39>
composite cofactor 合成数の残り
648740827794515527736611986347275120292821199762575787855527046286075126811000660729556147937837260741308135660769987417533850506130220969510178087500688341414655816185138799148038473883520929657813853558272230050351939<219>
factorization results 素因数分解の結果
GPU: factor 575117983627392425350035624005825696519 found in Step 1 with curve 377 (-sigma 3:-1430471328)
GPU: factor 575117983627392425350035624005825696519 found in Step 1 with curve 900 (-sigma 3:-1430470805)
Computing 1792 Step 1 took 1298ms of CPU time / 982104ms of GPU time
Throughput: 1.825 curves per second (on average 548.05ms per Step 1)
********** Factor found in step 1: 575117983627392425350035624005825696519
Found prime factor of 39 digits: 575117983627392425350035624005825696519
Composite cofactor 648740827794515527736611986347275120292821199762575787855527046286075126811000660729556147937837260741308135660769987417533850506130220969510178087500688341414655816185138799148038473883520929657813853558272230050351939 has 219 digits
Peak memory usage: 9430MB

c219

name 名前Dmitry Domanov
date 日付May 16, 2022 22:16:20 UTC 2022 年 5 月 17 日 (火) 7 時 16 分 20 秒 (日本時間)
composite number 合成数
648740827794515527736611986347275120292821199762575787855527046286075126811000660729556147937837260741308135660769987417533850506130220969510178087500688341414655816185138799148038473883520929657813853558272230050351939<219>
prime factors 素因数
49430893886735130232039559294894603293463<41>
composite cofactor 合成数の残り
13124197779652257150313333778558431690493960465050461765548556876176070269501102063983023816189137015615687521902558930759343399675270870015880554253256869784066038004113241756853<179>
factorization results 素因数分解の結果
Resuming ECM residue saved by @843b840568a1 with GMP-ECM 7.0.5-dev on Sun May 15 19:56:02 2022 
Input number is 648740827794515527736611986347275120292821199762575787855527046286075126811000660729556147937837260741308135660769987417533850506130220969510178087500688341414655816185138799148038473883520929657813853558272230050351939 (219 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2864497273
Step 1 took 0ms
Step 2 took 12782ms
********** Factor found in step 2: 49430893886735130232039559294894603293463
Found prime factor of 41 digits: 49430893886735130232039559294894603293463
Composite cofactor 13124197779652257150313333778558431690493960465050461765548556876176070269501102063983023816189137015615687521902558930759343399675270870015880554253256869784066038004113241756853 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 14, 2022 22:09:25 UTC 2022 年 5 月 15 日 (日) 7 時 9 分 25 秒 (日本時間)
4511e662721792Dmitry DomanovMay 14, 2022 22:09:25 UTC 2022 年 5 月 15 日 (日) 7 時 9 分 25 秒 (日本時間)
4480Ignacio SantosJune 7, 2022 20:40:55 UTC 2022 年 6 月 8 日 (水) 5 時 40 分 55 秒 (日本時間)
5043e61792 / 6102Dmitry DomanovMay 1, 2024 20:53:28 UTC 2024 年 5 月 2 日 (木) 5 時 53 分 28 秒 (日本時間)

203×10298-23

c244

composite cofactor 合成数の残り
4828004125308231630550342351707374205631803212737427550193908590040290544023208471655855924268361821140306471860760168132085703010488113121296460541790883766269888014455219168615250406158030024157331601356285000836264573122462553879788910947941<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 5, 2022 21:00:57 UTC 2022 年 4 月 6 日 (水) 6 時 0 分 57 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJuly 9, 2022 10:30:54 UTC 2022 年 7 月 9 日 (土) 19 時 30 分 54 秒 (日本時間)

203×10299-23

c192

composite cofactor 合成数の残り
266230338346235757499764101153153591089701441544899728846253068070849601776284615329645457061973457310158029405072823480050840980120190627495630045616104433296654787545543162752249967887326311<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 19, 2022 12:34:34 UTC 2022 年 3 月 19 日 (土) 21 時 34 分 34 秒 (日本時間)
4511e64480Ignacio SantosMarch 22, 2022 20:26:28 UTC 2022 年 3 月 23 日 (水) 5 時 26 分 28 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovMay 19, 2024 16:34:58 UTC 2024 年 5 月 20 日 (月) 1 時 34 分 58 秒 (日本時間)

203×10300-23

c285

composite cofactor 合成数の残り
354901999595004236289121975015467367908073741447762736587353250870129437159367605086779729124360650693526847545700133565124178014218801605247869379064488113689429954307215745988698645786836090781872576280522457950799634900708414822083670793533778245560195828533450756401573509906990711<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 17, 2022 21:42:35 UTC 2022 年 3 月 18 日 (金) 6 時 42 分 35 秒 (日本時間)
4511e63584Dmitry DomanovMarch 18, 2022 15:42:14 UTC 2022 年 3 月 19 日 (土) 0 時 42 分 14 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovMarch 20, 2022 16:09:30 UTC 2022 年 3 月 21 日 (月) 1 時 9 分 30 秒 (日本時間)