Table of contents 目次

73×1095+629

c82

name 名前Ignacio Santos
date 日付May 7, 2022 18:07:41 UTC 2022 年 5 月 8 日 (日) 3 時 7 分 41 秒 (日本時間)
composite number 合成数
3718129672381606540769136794944239195601430031195167077254768818550141285055114831<82>
prime factors 素因数
5722467066058026451454975053108275442171<40>
649742432671241920091375774245061018294461<42>
factorization results 素因数分解の結果
prp40 = 5722467066058026451454975053108275442171
prp42 = 649742432671241920091375774245061018294461
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10103+629

c100

name 名前Ignacio Santos
date 日付May 7, 2022 16:19:34 UTC 2022 年 5 月 8 日 (日) 1 時 19 分 34 秒 (日本時間)
composite number 合成数
3100814707206633194858594353968618056086516978022444801250520342194017551460781065490905692755987121<100>
prime factors 素因数
15312577285008615813075696022875728988175530667<47>
202501162899756001635843432469811974071616806635065363<54>
factorization results 素因数分解の結果
N=3100814707206633194858594353968618056086516978022444801250520342194017551460781065490905692755987121
  ( 100 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=15312577285008615813075696022875728988175530667 (pp47)
 r2=202501162899756001635843432469811974071616806635065363 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.24 hours.
Scaled time: 1.87 units (timescale=7.868).
Factorization parameters were as follows:
n: 3100814707206633194858594353968618056086516978022444801250520342194017551460781065490905692755987121
m: 50000000000000000000000000
deg: 4
c4: 292
c0: 155
skew: 0.85
# Murphy_E = 1.773e-07
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 38449 x 38674
Total sieving time: 0.23 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.24 hours.
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10111+629

c73

name 名前ivelive
date 日付May 7, 2022 13:59:16 UTC 2022 年 5 月 7 日 (土) 22 時 59 分 16 秒 (日本時間)
composite number 合成数
6897795267608856204146064145374862111898057881921955909406520224089754551<73>
prime factors 素因数
95814775474277844491927388701817209<35>
71990934941559386400528516915742462639<38>
factorization results 素因数分解の結果
05/07/22 22:58:21 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c73: 6897795267608856204146064145374862111898057881921955909406520224089754551
05/07/22 22:58:21 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 3987953333, 2041907508
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, n = 74 digits, 243 bits
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 21040 primes (max prime = 510611)
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 38295825 (75 * pmax)
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, allocating 6 large prime slices of factor base
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using 32k sieve core
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 8 blocks of size 32768
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 9 factors
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 2
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 20 bits, starting at offset 33
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for trial division and x64 sieve scanning
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for resieving 13-16 bit primes
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 87 bits
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started ( 8 threads) ====
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 1408980 sieve locations out of 29230628864
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, 21564 relations found: 10787 full + 10777 from 109028 partial, using 55753 polys (438 A polys)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 2.15 rels/poly and 10125.21 rels/sec
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 1408980 sieve locations out of 29230628864
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, begin with 119815 relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 31001 relations in 2 passes
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, recovered 31001 relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, recovered 23750 polynomials
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, freed 7 duplicate relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 21557 cycles
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, found 21557 cycles in 1 passes
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 10787
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 10770
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 2 relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 21040 x 21557 (2.9 MB) with weight 598766 (27.78/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 598766 (27.78/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 3 passes
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 16436 x 16500 (2.4 MB) with weight 491951 (29.82/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 491951 (29.82/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 16388 x 16500 (2.0 MB) with weight 401587 (24.34/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 367552 (22.28/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 2.7 MB
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 261 iterations (dim = 16384)
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, recovered 14 nontrivial dependencies
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, prp35 = 95814775474277844491927388701817209
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, prp38 = 71990934941559386400528516915742462639
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 1.6420 seconds.
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.0190 seconds.
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 13.4939 seconds.05/07/22 22:58:21 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c73: 6897795267608856204146064145374862111898057881921955909406520224089754551
05/07/22 22:58:21 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 3987953333, 2041907508
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, n = 74 digits, 243 bits
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 21040 primes (max prime = 510611)
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 38295825 (75 * pmax)
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, allocating 6 large prime slices of factor base
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using 32k sieve core
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 8 blocks of size 32768
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 9 factors
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 2
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 20 bits, starting at offset 33
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for trial division and x64 sieve scanning
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for resieving 13-16 bit primes
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 87 bits
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started ( 8 threads) ====
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 1408980 sieve locations out of 29230628864
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, 21564 relations found: 10787 full + 10777 from 109028 partial, using 55753 polys (438 A polys)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 2.15 rels/poly and 10125.21 rels/sec
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 1408980 sieve locations out of 29230628864
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, begin with 119815 relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 31001 relations in 2 passes
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, recovered 31001 relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, recovered 23750 polynomials
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, freed 7 duplicate relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 21557 cycles
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, found 21557 cycles in 1 passes
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 10787
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 10770
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 2 relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 21040 x 21557 (2.9 MB) with weight 598766 (27.78/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 598766 (27.78/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 3 passes
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 16436 x 16500 (2.4 MB) with weight 491951 (29.82/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 491951 (29.82/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 16388 x 16500 (2.0 MB) with weight 401587 (24.34/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVC05/07/22 22:58:21 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c73: 6897795267608856204146064145374862111898057881921955909406520224089754551
05/07/22 22:58:21 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 3987953333, 2041907508
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, n = 74 digits, 243 bits
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 21040 primes (max prime = 510611)
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 38295825 (75 * pmax)
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, allocating 6 large prime slices of factor base
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using 32k sieve core
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 8 blocks of size 32768
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 9 factors
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 2
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 20 bits, starting at offset 33
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for trial division and x64 sieve scanning
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for resieving 13-16 bit primes
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 87 bits
05/07/22 22:58:22 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started ( 8 threads) ====
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 1408980 sieve locations out of 29230628864
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, 21564 relations found: 10787 full + 10777 from 109028 partial, using 55753 polys (438 A polys)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 2.15 rels/poly and 10125.21 rels/sec
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 1408980 sieve locations out of 29230628864
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, begin with 119815 relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 31001 relations in 2 passes
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, recovered 31001 relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, recovered 23750 polynomials
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, freed 7 duplicate relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 21557 cycles
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, found 21557 cycles in 1 passes
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 10787
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 10770
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 2 relations
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 21040 x 21557 (2.9 MB) with weight 598766 (27.78/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 598766 (27.78/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 3 passes
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 16436 x 16500 (2.4 MB) with weight 491951 (29.82/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 491951 (29.82/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 16388 x 16500 (2.0 MB) with weight 401587 (24.34/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 367552 (22.28/col)
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 2.7 MB
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 261 iterations (dim = 16384)
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, recovered 14 nontrivial dependencies
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, prp35 = 95814775474277844491927388701817209
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, prp38 = 71990934941559386400528516915742462639
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 1.6420 seconds.
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.0190 seconds.
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 13.4939 seconds
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
05/07/22 22:58:33 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 2.7 MB
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 261 iterations (dim = 16384)
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, recovered 14 nontrivial dependencies
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, prp35 = 95814775474277844491927388701817209
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, prp38 = 71990934941559386400528516915742462639
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 1.6420 seconds.
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.0190 seconds.
05/07/22 22:58:35 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 13.4939 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10113+629

c92

name 名前Ignacio Santos
date 日付May 7, 2022 18:14:50 UTC 2022 年 5 月 8 日 (日) 3 時 14 分 50 秒 (日本時間)
composite number 合成数
38027464916964317687973443020503584902312661714652579952908990552057295740550232130992100707<92>
prime factors 素因数
3874545755953934029902558220487203506045601<43>
9814689853263005547861059220602302981813253381507<49>
factorization results 素因数分解の結果
prp43 = 3874545755953934029902558220487203506045601
prp49 = 9814689853263005547861059220602302981813253381507
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10118+629

c98

name 名前Ignacio Santos
date 日付May 7, 2022 18:24:11 UTC 2022 年 5 月 8 日 (日) 3 時 24 分 11 秒 (日本時間)
composite number 合成数
92497210084802477510840664288102049635712935364979906758799769084660019363953700245432663790013383<98>
prime factors 素因数
3454089425683847664249785310489943811531<40>
26779043239880707877273397152207489477371246871239307711093<59>
factorization results 素因数分解の結果
prp40 = 3454089425683847664249785310489943811531
prp59 = 26779043239880707877273397152207489477371246871239307711093
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10127+629

c127

name 名前Ignacio Santos
date 日付May 7, 2022 17:15:53 UTC 2022 年 5 月 8 日 (日) 2 時 15 分 53 秒 (日本時間)
composite number 合成数
3686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869<127>
prime factors 素因数
29415499766151803257018103408144476498589667412050504179453<59>
125337618472528528583485650139445986714835176361527205324267262055673<69>
factorization results 素因数分解の結果
N=3686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869
  ( 127 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=29415499766151803257018103408144476498589667412050504179453 (pp59)
 r2=125337618472528528583485650139445986714835176361527205324267262055673 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.05 hours.
Scaled time: 16.02 units (timescale=7.825).
Factorization parameters were as follows:
n: 3686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869
m: 50000000000000000000000000000000
deg: 4
c4: 292
c0: 155
skew: 0.85
# Murphy_E = 1.338e-08
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 1000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 129925 x 130154
Total sieving time: 2.03 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,100000
total time: 2.05 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10133+629

c83

name 名前ivelive
date 日付May 7, 2022 14:51:56 UTC 2022 年 5 月 7 日 (土) 23 時 51 分 56 秒 (日本時間)
composite number 合成数
20187653538220887580376121732696202675596309805068645619158699005199570900184431287<83>
prime factors 素因数
31913217557707075533999226654652809<35>
632579698418580424943384351765878940592608084543<48>
factorization results 素因数分解の結果
starting SIQS on c83: 20187653538220887580376121732696202675596309805068645619158699005199570900184431287

==== sieve params ====
n = 84 digits, 277 bits
factor base: 54752 primes (max prime = 1438093)
single large prime cutoff: 136618835 (95 * pmax)
double large prime range from 41 to 49 bits
double large prime cutoff: 440472743834714
allocating 7 large prime slices of factor base
buckets hold 2048 elements
using SSE4.1 enabled 32k sieve core
sieve interval: 12 blocks of size 32768
polynomial A has ~ 11 factors
using multiplier of 7
using SPV correction of 19 bits, starting at offset 36
using SSE2 for x128 sieve scanning
using SSE2 for resieving 13-16 bit primes
using SSE2 for 8x trial divison to 13 bits
using SSE4.1 and inline ASM for small prime sieving
using SSE2 for poly updating up to 15 bits
using SSE4.1 for medium prime poly updating
using SSE4.1 and inline ASM for large prime poly updating
trial factoring cutoff at 98 bits

==== sieving in progress ( 8 threads):   54816 relations needed ====
====            Press ctrl-c to abort and save state            ====
54898 rels found: 23415 full + 31483 from 384823 partial, (6352.41 rels/sec)

sieving required 163584 total polynomials
trial division touched 4920903 sieve locations out of 128647692288
squfof: 0 failures, 142398 attempts, 1419365 outside range, 984476 prp, 138215 useful
QS elapsed time = 65.1238 seconds.

==== post processing stage (msieve-1.38) ====
begin with 414949 relations
reduce to 97030 relations in 7 passes
attempting to read 97030 relations
recovered 97030 relations
recovered 73066 polynomials
freed 12 duplicate relations
attempting to build 56404 cycles
found 56404 cycles in 3 passes
distribution of cycle lengths:
   length 1 : 23796
   length 2 : 19988
   length 3 : 8425
   length 4 : 2859
   length 5 : 935
   length 6 : 270
   length 7 : 101
   length 9+: 30
largest cycle: 10 relations
matrix is 54752 x 56404 (9.7 MB) with weight 2092935 (37.11/col)
sparse part has weight 2092935 (37.11/col)
filtering completed in 4 passes
matrix is 42368 x 42432 (7.5 MB) with weight 1628741 (38.38/col)
sparse part has weight 1628741 (38.38/col)
saving the first 48 matrix rows for later
matrix is 42320 x 42432 (6.5 MB) with weight 1388899 (32.73/col)
sparse part has weight 1268333 (29.89/col)
matrix includes 64 packed rows
using block size 16972 for processor cache size 12288 kB
commencing Lanczos iteration
memory use: 5.6 MB
lanczos halted after 670 iterations (dim = 42318)
recovered 16 nontrivial dependencies
Lanczos elapsed time = 4.4940 seconds.
Sqrt elapsed time = 0.0320 seconds.
SIQS elapsed time = 69.6496 seconds.


***factors found***

P48 = 632579698418580424943384351765878940592608084543
P35 = 31913217557707075533999226654652809

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10134+629

c133

name 名前Taiyo Kodama
date 日付May 9, 2022 12:31:39 UTC 2022 年 5 月 9 日 (月) 21 時 31 分 39 秒 (日本時間)
composite number 合成数
6648451730418943533697632058287795992714025500910746812386156648451730418943533697632058287795992714025500910746812386156648451730419<133>
prime factors 素因数
66658812948699001252790771167344356100599<41>
99738525730058072249558909161928041182069831180151643485691478756956232787273762997369278181<92>
factorization results 素因数分解の結果
Mon May  9 21:29:20 2022  Msieve v. 1.53 (SVN unknown)
Mon May  9 21:29:20 2022  random seeds: 4d02a840 5e75defd
Mon May  9 21:29:20 2022  factoring 6648451730418943533697632058287795992714025500910746812386156648451730418943533697632058287795992714025500910746812386156648451730419 (133 digits)
Mon May  9 21:29:21 2022  searching for 15-digit factors
Mon May  9 21:29:21 2022  commencing number field sieve (133-digit input)
Mon May  9 21:29:21 2022  R0: -1000000000000000000000000000000000
Mon May  9 21:29:21 2022  R1: 1
Mon May  9 21:29:21 2022  A0: 31
Mon May  9 21:29:21 2022  A1: 0
Mon May  9 21:29:21 2022  A2: 0
Mon May  9 21:29:21 2022  A3: 0
Mon May  9 21:29:21 2022  A4: 3650
Mon May  9 21:29:21 2022  skew 0.30, size 1.597e-14, alpha 0.516, combined = 5.218e-09 rroots = 0
Mon May  9 21:29:21 2022  
Mon May  9 21:29:21 2022  commencing square root phase
Mon May  9 21:29:21 2022  reading relations for dependency 1
Mon May  9 21:29:21 2022  read 106841 cycles
Mon May  9 21:29:21 2022  cycles contain 341748 unique relations
Mon May  9 21:29:24 2022  read 341748 relations
Mon May  9 21:29:25 2022  multiplying 341748 relations
Mon May  9 21:29:28 2022  multiply complete, coefficients have about 10.61 million bits
Mon May  9 21:29:28 2022  initial square root is modulo 1251581
Mon May  9 21:29:33 2022  GCD is 1, no factor found
Mon May  9 21:29:33 2022  reading relations for dependency 2
Mon May  9 21:29:33 2022  read 107101 cycles
Mon May  9 21:29:33 2022  cycles contain 342078 unique relations
Mon May  9 21:29:36 2022  read 342078 relations
Mon May  9 21:29:36 2022  multiplying 342078 relations
Mon May  9 21:29:40 2022  multiply complete, coefficients have about 10.62 million bits
Mon May  9 21:29:40 2022  initial square root is modulo 1267349
Mon May  9 21:29:44 2022  sqrtTime: 23
Mon May  9 21:29:44 2022  p41 factor: 66658812948699001252790771167344356100599
Mon May  9 21:29:44 2022  p92 factor: 99738525730058072249558909161928041182069831180151643485691478756956232787273762997369278181
Mon May  9 21:29:44 2022  elapsed time 00:00:24
Mon May 09 21:29:44 2022 -> Computing time scale for this machine...
Mon May 09 21:29:44 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10137+629

c119

name 名前Ignacio Santos
date 日付May 10, 2022 17:00:33 UTC 2022 年 5 月 11 日 (水) 2 時 0 分 33 秒 (日本時間)
composite number 合成数
52493908447547792654525998015896701399091340201572573961941062128662757218423038034664886435301806771163636772185877979<119>
prime factors 素因数
17780347359786030052110993524050704113<38>
2952355619681184228147666313493920555755619209433439260794412984135700767296678283<82>
factorization results 素因数分解の結果
N=52493908447547792654525998015896701399091340201572573961941062128662757218423038034664886435301806771163636772185877979
  ( 119 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=17780347359786030052110993524050704113 (pp38)
 r2=2952355619681184228147666313493920555755619209433439260794412984135700767296678283 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.14 hours.
Scaled time: 40.26 units (timescale=7.837).
Factorization parameters were as follows:
n: 52493908447547792654525998015896701399091340201572573961941062128662757218423038034664886435301806771163636772185877979
m: 10000000000000000000000000000000000
deg: 4
c4: 365
c0: 31
skew: 0.54
# Murphy_E = 4.767e-09
type: snfs
lss: 1
rlim: 1430000
alim: 1430000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1430000/1430000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [715000, 1215001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 183222 x 183455
Total sieving time: 5.11 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1430000,1430000,26,26,48,48,2.3,2.3,100000
total time: 5.14 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10143+629

c134

name 名前Bob Backstrom
date 日付May 8, 2022 16:04:10 UTC 2022 年 5 月 9 日 (月) 1 時 4 分 10 秒 (日本時間)
composite number 合成数
12482678103467422731861251503353137119688631980535206171705929170908402477834200947553678395675696403387733652394011041628722187270821<134>
prime factors 素因数
395077134233464041310977710098900650339501977554087<51>
31595546848557929138887069925210679986332553756801842830891190229967758586817276883<83>
factorization results 素因数分解の結果
Number: n
N=12482678103467422731861251503353137119688631980535206171705929170908402477834200947553678395675696403387733652394011041628722187270821  ( 134 digits)
SNFS difficulty: 145 digits.
Divisors found:

Mon May  9 01:59:15 2022  p51 factor: 395077134233464041310977710098900650339501977554087
Mon May  9 01:59:15 2022  p83 factor: 31595546848557929138887069925210679986332553756801842830891190229967758586817276883
Mon May  9 01:59:15 2022  elapsed time 00:02:53 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 73x10^143+62 = 81(142)8
#
n: 12482678103467422731861251503353137119688631980535206171705929170908402477834200947553678395675696403387733652394011041628722187270821
m: 500000000000000000000000000000000000
deg: 4
c4: 292
c0: 155
skew: 0.85
# Murphy_E = 2.161e-09
type: snfs
lss: 1
rlim: 1850000
alim: 1850000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1850000/1850000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6525000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 604584 hash collisions in 7232096 relations (7402141 unique)
Msieve: matrix is 266373 x 266598 (88.6 MB)

Sieving start time : 2022/05/09 01:30:49
Sieving end time  : 2022/05/09 01:56:11

Total sieving time: 0hrs 25min 22secs.

Total relation processing time: 0hrs 1min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 9sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1850000,1850000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10146+629

c116

name 名前ebina
date 日付May 13, 2022 03:21:36 UTC 2022 年 5 月 13 日 (金) 12 時 21 分 36 秒 (日本時間)
composite number 合成数
24816699411441835983886761978927915747616571636136126018343875882655244654652617766282639046576000890673759169856263<116>
prime factors 素因数
20724355980815272560507085084842486190680341926283<50>
1197465409029592209009553134224773584723231693493088323082508291061<67>
factorization results 素因数分解の結果
Fri May 13 12:18:48 2022  Msieve v. 1.53 (SVN unknown)
Fri May 13 12:18:48 2022  random seeds: fbb07240 9ce0ce94
Fri May 13 12:18:48 2022  factoring 24816699411441835983886761978927915747616571636136126018343875882655244654652617766282639046576000890673759169856263 (116 digits)
Fri May 13 12:18:48 2022  searching for 15-digit factors
Fri May 13 12:18:49 2022  commencing number field sieve (116-digit input)
Fri May 13 12:18:49 2022  R0: -100000000000000000000000000000
Fri May 13 12:18:49 2022  R1: 1
Fri May 13 12:18:49 2022  A0: 31
Fri May 13 12:18:49 2022  A1: 0
Fri May 13 12:18:49 2022  A2: 0
Fri May 13 12:18:49 2022  A3: 0
Fri May 13 12:18:49 2022  A4: 0
Fri May 13 12:18:49 2022  A5: 365
Fri May 13 12:18:49 2022  skew 0.61, size 1.653e-10, alpha 0.249, combined = 1.661e-09 rroots = 1
Fri May 13 12:18:49 2022  
Fri May 13 12:18:49 2022  commencing square root phase
Fri May 13 12:18:49 2022  reading relations for dependency 1
Fri May 13 12:18:49 2022  read 164997 cycles
Fri May 13 12:18:49 2022  cycles contain 535112 unique relations
Fri May 13 12:18:55 2022  read 535112 relations
Fri May 13 12:18:57 2022  multiplying 535112 relations
Fri May 13 12:19:09 2022  multiply complete, coefficients have about 15.15 million bits
Fri May 13 12:19:10 2022  initial square root is modulo 503452171
Fri May 13 12:19:27 2022  Newton iteration failed to converge
Fri May 13 12:19:27 2022  algebraic square root failed
Fri May 13 12:19:27 2022  reading relations for dependency 2
Fri May 13 12:19:27 2022  read 165495 cycles
Fri May 13 12:19:28 2022  cycles contain 536152 unique relations
Fri May 13 12:19:33 2022  read 536152 relations
Fri May 13 12:19:35 2022  multiplying 536152 relations
Fri May 13 12:19:48 2022  multiply complete, coefficients have about 15.17 million bits
Fri May 13 12:19:48 2022  initial square root is modulo 523232701
Fri May 13 12:20:05 2022  Newton iteration failed to converge
Fri May 13 12:20:05 2022  algebraic square root failed
Fri May 13 12:20:05 2022  reading relations for dependency 3
Fri May 13 12:20:05 2022  read 165592 cycles
Fri May 13 12:20:06 2022  cycles contain 536164 unique relations
Fri May 13 12:20:12 2022  read 536164 relations
Fri May 13 12:20:14 2022  multiplying 536164 relations
Fri May 13 12:20:26 2022  multiply complete, coefficients have about 15.17 million bits
Fri May 13 12:20:26 2022  initial square root is modulo 522234701
Fri May 13 12:20:43 2022  sqrtTime: 114
Fri May 13 12:20:43 2022  p50 factor: 20724355980815272560507085084842486190680341926283
Fri May 13 12:20:43 2022  p67 factor: 1197465409029592209009553134224773584723231693493088323082508291061
Fri May 13 12:20:43 2022  elapsed time 00:01:55

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10147+629

c102

name 名前Ignacio Santos
date 日付May 7, 2022 19:15:38 UTC 2022 年 5 月 8 日 (日) 4 時 15 分 38 秒 (日本時間)
composite number 合成数
332051396651753131838824320315878708692835887643835912605320923302228961617625581603076311228814001181<102>
prime factors 素因数
9072116097812092527025324870052987674337<40>
36601316944327181472251260322898764657142338316550379928500413<62>
factorization results 素因数分解の結果
prp40 = 9072116097812092527025324870052987674337
prp62 = 36601316944327181472251260322898764657142338316550379928500413
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10149+629

c122

name 名前Ignacio Santos
date 日付May 14, 2022 16:51:12 UTC 2022 年 5 月 15 日 (日) 1 時 51 分 12 秒 (日本時間)
composite number 合成数
17439969353313486190222124122702568512406340557888028692921154248830523085024668690421182468127306742760623769271720622577<122>
prime factors 素因数
404397319300509931603311555739593925834397<42>
43125828290552407149593545499648923883141088267369533756141688318814305468515941<80>
factorization results 素因数分解の結果
N=17439969353313486190222124122702568512406340557888028692921154248830523085024668690421182468127306742760623769271720622577
  ( 122 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=404397319300509931603311555739593925834397 (pp42)
 r2=43125828290552407149593545499648923883141088267369533756141688318814305468515941 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.86 hours.
Scaled time: 61.21 units (timescale=7.788).
Factorization parameters were as follows:
n: 17439969353313486190222124122702568512406340557888028692921154248830523085024668690421182468127306742760623769271720622577
m: 500000000000000000000000000000
deg: 5
c5: 584
c0: 155
skew: 0.77
# Murphy_E = 1.337e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 319796 x 320022
Total sieving time: 7.79 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,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 7.86 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2022 15:54:49 UTC 2022 年 5 月 15 日 (日) 0 時 54 分 49 秒 (日本時間)

73×10156+629

c133

name 名前Ignacio Santos
date 日付May 14, 2022 14:06:50 UTC 2022 年 5 月 14 日 (土) 23 時 6 分 50 秒 (日本時間)
composite number 合成数
1665723266405909224200320740327834786827688685910975597575180556403649925727363411830642595285659671177864246195752961478405082903703<133>
prime factors 素因数
29021364535808950943588566678483208213<38>
composite cofactor 合成数の残り
57396448893731464674188646929821694355560321665085342996391808746563719350799542862021082900731<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:372009157
Step 1 took 2594ms
********** Factor found in step 2: 29021364535808950943588566678483208213
Found prime factor of 38 digits: 29021364535808950943588566678483208213
Composite cofactor 57396448893731464674188646929821694355560321665085342996391808746563719350799542862021082900731 has 95 digits
software ソフトウェア
GMP-ECM

c95

name 名前Ignacio Santos
date 日付May 15, 2022 15:46:40 UTC 2022 年 5 月 16 日 (月) 0 時 46 分 40 秒 (日本時間)
composite number 合成数
57396448893731464674188646929821694355560321665085342996391808746563719350799542862021082900731<95>
prime factors 素因数
281912313000366593855250372141219670187<39>
203596814494785218313775137479903077413831736184274460913<57>
factorization results 素因数分解の結果
prp39 = 281912313000366593855250372141219670187
prp57 = 203596814494785218313775137479903077413831736184274460913
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10157+629

c134

name 名前Ignacio Santos
date 日付May 17, 2022 18:17:36 UTC 2022 年 5 月 18 日 (水) 3 時 17 分 36 秒 (日本時間)
composite number 合成数
55617537621240483570139338928770667080202267182516243478704528400399921847688907987738815606245762236324069903943853932127030846267697<134>
prime factors 素因数
155582031849097144002823580421094177986641<42>
357480468407722732507267271510644091362707191834201287686116350476563426215037656243241902817<93>
factorization results 素因数分解の結果
N=55617537621240483570139338928770667080202267182516243478704528400399921847688907987738815606245762236324069903943853932127030846267697
  ( 134 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=155582031849097144002823580421094177986641 (pp42)
 r2=357480468407722732507267271510644091362707191834201287686116350476563426215037656243241902817 (pp93)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.44 hours.
Scaled time: 121.47 units (timescale=7.868).
Factorization parameters were as follows:
n: 55617537621240483570139338928770667080202267182516243478704528400399921847688907987738815606245762236324069903943853932127030846267697
m: 10000000000000000000000000000000
deg: 5
c5: 3650
c0: 31
skew: 0.39
# Murphy_E = 5.628e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 619426 x 619650
Total sieving time: 15.32 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 15.44 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2022 14:21:25 UTC 2022 年 5 月 14 日 (土) 23 時 21 分 25 秒 (日本時間)

73×10159+629

c87

name 名前Ignacio Santos
date 日付May 7, 2022 18:42:49 UTC 2022 年 5 月 8 日 (日) 3 時 42 分 49 秒 (日本時間)
composite number 合成数
614911413697664079942658717697662763332598424824445468107855157290757989429539954859129<87>
prime factors 素因数
89067172654105951937571989297410230429157<41>
6903906292003723692089046909737823259847553797<46>
factorization results 素因数分解の結果
prp41 = 89067172654105951937571989297410230429157
prp46 = 6903906292003723692089046909737823259847553797
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10160+629

c127

name 名前Ignacio Santos
date 日付May 14, 2022 13:50:43 UTC 2022 年 5 月 14 日 (土) 22 時 50 分 43 秒 (日本時間)
composite number 合成数
1150679647005469011552841102229730193076395216640108287603970444420288312981122528532342927233359667576975931961339440729433413<127>
prime factors 素因数
1128923796215191211565963997800139460383169<43>
1019271319165399877413160952337715555054012212259540619096401453615221885536908012677<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:275131426
Step 1 took 4859ms
Step 2 took 2953ms
********** Factor found in step 2: 1128923796215191211565963997800139460383169
Found prime factor of 43 digits: 1128923796215191211565963997800139460383169
Prime cofactor 1019271319165399877413160952337715555054012212259540619096401453615221885536908012677 has 85 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10163+629

c154

name 名前Bob Backstrom
date 日付May 9, 2022 04:41:45 UTC 2022 年 5 月 9 日 (月) 13 時 41 分 45 秒 (日本時間)
composite number 合成数
5877702731158193613400101238894856284558559798843926240960346645215301006206350872232789545086876388372655290291000324469174949218225317971148731208309419<154>
prime factors 素因数
24325793040055711741069503885690322020024001807560060579268328809467160673<74>
241624300654032543842030640717565524867303824252883576194984223420699236610993803<81>
factorization results 素因数分解の結果
Number: n
N=5877702731158193613400101238894856284558559798843926240960346645215301006206350872232789545086876388372655290291000324469174949218225317971148731208309419  ( 154 digits)
SNFS difficulty: 164 digits.
Divisors found:

Mon May  9 14:37:04 2022  p74 factor: 24325793040055711741069503885690322020024001807560060579268328809467160673
Mon May  9 14:37:04 2022  p81 factor: 241624300654032543842030640717565524867303824252883576194984223420699236610993803
Mon May  9 14:37:04 2022  elapsed time 00:11:34 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 73x10^163+62 = 81(162)8
#
n: 5877702731158193613400101238894856284558559798843926240960346645215301006206350872232789545086876388372655290291000324469174949218225317971148731208309419
m: 100000000000000000000000000000000
deg: 5
c5: 36500
c0: 31
skew: 0.24
# Murphy_E = 3.154e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1638802 hash collisions in 16597736 relations (15650835 unique)
Msieve: matrix is 587562 x 587787 (197.3 MB)

Sieving start time : 2022/05/09 13:02:22
Sieving end time  : 2022/05/09 14:25:14

Total sieving time: 1hrs 22min 52secs.

Total relation processing time: 0hrs 5min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 28sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10165+629

c148

name 名前Bob Backstrom
date 日付May 9, 2022 09:25:05 UTC 2022 年 5 月 9 日 (月) 18 時 25 分 5 秒 (日本時間)
composite number 合成数
1878578625353233615036048305327062838160603543294621588481397328865373194206497923074330207080250059091359562864609779064046755972051868499030496583<148>
prime factors 素因数
2255699981200405723232114730786456845990227<43>
832814044868466447912924125308137401491204209433882591927649926885652486855508709499250438057368995140029<105>
factorization results 素因数分解の結果
Number: n
N=1878578625353233615036048305327062838160603543294621588481397328865373194206497923074330207080250059091359562864609779064046755972051868499030496583
  ( 148 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon May  9 19:17:36 2022  p43 factor: 2255699981200405723232114730786456845990227
Mon May  9 19:17:36 2022  p105 factor: 832814044868466447912924125308137401491204209433882591927649926885652486855508709499250438057368995140029
Mon May  9 19:17:36 2022  elapsed time 00:10:25 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 73x10^165+62 = 81(164)8
#
n: 1878578625353233615036048305327062838160603543294621588481397328865373194206497923074330207080250059091359562864609779064046755972051868499030496583
m: 1000000000000000000000000000000000
deg: 5
c5: 73
c0: 62
skew: 0.97
# Murphy_E = 3.103e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1933372 hash collisions in 16534934 relations (15624523 unique)
Msieve: matrix is 604483 x 604710 (202.6 MB)

Sieving start time : 2022/05/09 17:36:37
Sieving end time  : 2022/05/09 19:06:54

Total sieving time: 1hrs 30min 17secs.

Total relation processing time: 0hrs 5min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 1sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10166+629

c124

name 名前Ignacio Santos
date 日付May 10, 2022 20:10:14 UTC 2022 年 5 月 11 日 (水) 5 時 10 分 14 秒 (日本時間)
composite number 合成数
6936215449894062983473076416268926916603093730404004458300661051733438418634790787121225029476743354535291818658522618151467<124>
prime factors 素因数
349203779193725722616672342022179580394903<42>
19862944971297402871500107601513245239726717238981490947055647062827480776476891789<83>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1556165446
Step 1 took 4812ms
Step 2 took 2938ms
********** Factor found in step 2: 349203779193725722616672342022179580394903
Found prime factor of 42 digits: 349203779193725722616672342022179580394903
Prime cofactor 19862944971297402871500107601513245239726717238981490947055647062827480776476891789 has 83 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10168+629

c119

name 名前Eric Jeancolas
date 日付May 14, 2022 08:09:21 UTC 2022 年 5 月 14 日 (土) 17 時 9 分 21 秒 (日本時間)
composite number 合成数
94214648016928769468772874459731936949643397412910337918364374960172011358286762215340729045913968957379888891216181409<119>
prime factors 素因数
7000370704402299494351779078009687134422335410013<49>
13458522697616616474658020901866360741565160336501821332220692631465493<71>
factorization results 素因数分解の結果
94214648016928769468772874459731936949643397412910337918364374960172011358286762215340729045913968957379888891216181409=7000370704402299494351779078009687134422335410013*13458522697616616474658020901866360741565160336501821332220692631465493

cado polynomial
n: 94214648016928769468772874459731936949643397412910337918364374960172011358286762215340729045913968957379888891216181409
skew: 12786.6
c0: 96542647778440986473380008
c1: 13897991131692290680513
c2: -2054032753678130634
c3: -134086180328473
c4: -1094747874
c5: 347760
Y0: -69583934977312446791902
Y1: 70191119975345039
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.758e-06
# f(x) = 347760*x^5-1094747874*x^4-134086180328473*x^3-2054032753678130634*x^2+13897991131692290680513*x+96542647778440986473380008
# g(x) = 70191119975345039*x-69583934977312446791902

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: 13458522697616616474658020901866360741565160336501821332220692631465493 7000370704402299494351779078009687134422335410013
Info:Square Root: Total cpu/real time for sqrt: 163.7/48.7989
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.99/58.4616
Info:Linear Algebra: Total cpu/real time for bwc: 3360.36/878.24
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2028.28, WCT time 529.22, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18944 iterations)
Info:Linear Algebra: Lingen CPU time 101.38, WCT time 25.73
Info:Linear Algebra: Mksol: CPU time 1172.98,  WCT time 302.96, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13452731
Info:Lattice Sieving: Average J: 1897.65 for 213846 special-q, max bucket fill -bkmult 1.0,1s:1.247810
Info:Lattice Sieving: Total time: 26864.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 129.32/33.5007
Info:Generate Factor Base: Total cpu/real time for makefb: 4.95/1.31808
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1568.58
Info:Polynomial Selection (root optimized): Rootsieve time: 1566.07
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.02/59.3977
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.3s
Info:Filtering - Merging: Merged matrix has 600801 rows and total weight 61099458 (101.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.18/15.1707
Info:Filtering - Merging: Total cpu/real time for replay: 14.46/11.4619
Info:Quadratic Characters: Total cpu/real time for characters: 18.57/7.09213
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): 20012/34.040/42.506/48.430/1.055
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15936/33.960/37.612/43.460/0.821
Info:Polynomial Selection (size optimized): Total time: 2342.29
Info:Square Root: Total cpu/real time for sqrt: 163.7/48.7989
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 129.32/112.425
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.9s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 57600.3/15913.6
Info:root: Cleaning up computation data in /tmp/cado.nm4i0v0a
13458522697616616474658020901866360741565160336501821332220692631465493 7000370704402299494351779078009687134422335410013
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 10, 2022 20:10:48 UTC 2022 年 5 月 11 日 (水) 5 時 10 分 48 秒 (日本時間)

73×10170+629

c138

name 名前Bob Backstrom
date 日付June 6, 2022 06:55:34 UTC 2022 年 6 月 6 日 (月) 15 時 55 分 34 秒 (日本時間)
composite number 合成数
985545375110420077479432233530299396170464630121506309705861089928104764707311327792476494422859396801350177024255195716577190214065995637<138>
prime factors 素因数
3809354969384051310713621366958589352169983450413904233<55>
258717127448423782104828585858269398500245427231655504868915166428673881925111353389<84>
factorization results 素因数分解の結果
Number: n
N=985545375110420077479432233530299396170464630121506309705861089928104764707311327792476494422859396801350177024255195716577190214065995637  ( 138 digits)
SNFS difficulty: 171 digits.
Divisors found:

Mon Jun  6 16:51:40 2022  p55 factor: 3809354969384051310713621366958589352169983450413904233
Mon Jun  6 16:51:40 2022  p84 factor: 258717127448423782104828585858269398500245427231655504868915166428673881925111353389
Mon Jun  6 16:51:40 2022  elapsed time 00:14:06 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 73x10^170+62 = 81(169)8
#
n: 985545375110420077479432233530299396170464630121506309705861089928104764707311327792476494422859396801350177024255195716577190214065995637
m: 10000000000000000000000000000000000
deg: 5
c5: 73
c0: 62
skew: 0.97
# Murphy_E = 1.969e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1252583 hash collisions in 11971449 relations (11436271 unique)
Msieve: matrix is 794082 x 794307 (276.2 MB)

Sieving start time : 2022/06/06 15:24:30
Sieving end time  : 2022/06/06 16:37:21

Total sieving time: 1hrs 12min 51secs.

Total relation processing time: 0hrs 9min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 48sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 10, 2022 19:01:18 UTC 2022 年 5 月 11 日 (水) 4 時 1 分 18 秒 (日本時間)

73×10171+629

c145

name 名前Bob Backstrom
date 日付May 11, 2022 13:15:46 UTC 2022 年 5 月 11 日 (水) 22 時 15 分 46 秒 (日本時間)
composite number 合成数
2067390725947036115481454924608711997404017071227419396478539538697354098560405287180024189319705305587720640343767773815345669316613101176950771<145>
prime factors 素因数
54293048358458189943589413105457438830185019681647<50>
38078368934039822398280787981467259418582552845263084228908492868731969366167332113828738920893<95>
factorization results 素因数分解の結果
Number: n
N=2067390725947036115481454924608711997404017071227419396478539538697354098560405287180024189319705305587720640343767773815345669316613101176950771  ( 145 digits)
SNFS difficulty: 172 digits.
Divisors found:

Wed May 11 23:11:21 2022  p50 factor: 54293048358458189943589413105457438830185019681647
Wed May 11 23:11:21 2022  p95 factor: 38078368934039822398280787981467259418582552845263084228908492868731969366167332113828738920893
Wed May 11 23:11:21 2022  elapsed time 00:13:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 73x10^171+62 = 81(170)8
#
n: 2067390725947036115481454924608711997404017071227419396478539538697354098560405287180024189319705305587720640343767773815345669316613101176950771
m: 10000000000000000000000000000000000
deg: 5
c5: 365
c0: 31
skew: 0.61
# Murphy_E = 1.79e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 29850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1749556 hash collisions in 14866194 relations (13993964 unique)
Msieve: matrix is 770556 x 770783 (264.8 MB)

Sieving start time : 2022/05/11 19:37:24
Sieving end time  : 2022/05/11 22:33:58

Total sieving time: 2hrs 56min 34secs.

Total relation processing time: 0hrs 9min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 10, 2022 17:24:31 UTC 2022 年 5 月 11 日 (水) 2 時 24 分 31 秒 (日本時間)

73×10172+629

c147

name 名前Bob Backstrom
date 日付May 11, 2022 09:39:47 UTC 2022 年 5 月 11 日 (水) 18 時 39 分 47 秒 (日本時間)
composite number 合成数
491780605954702747905953231718441305793429887120140497061436927227385659979688647685819021886153923633741289767056899734245850513944972154086976557<147>
prime factors 素因数
15743469290537307303098927845864534029704779710961483<53>
31237117872760738643087024517686062167182418541475518941438538742599604317538257711466881451879<95>
factorization results 素因数分解の結果
Number: n
N=491780605954702747905953231718441305793429887120140497061436927227385659979688647685819021886153923633741289767056899734245850513944972154086976557  ( 147 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed May 11 19:35:43 2022  p53 factor: 15743469290537307303098927845864534029704779710961483
Wed May 11 19:35:43 2022  p95 factor: 31237117872760738643087024517686062167182418541475518941438538742599604317538257711466881451879
Wed May 11 19:35:43 2022  elapsed time 00:16:59 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 73x10^172+62 = 81(171)8
#
n: 491780605954702747905953231718441305793429887120140497061436927227385659979688647685819021886153923633741289767056899734245850513944972154086976557
m: 10000000000000000000000000000000000
deg: 5
c5: 3650
c0: 31
skew: 0.39
# Murphy_E = 1.455e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1933864 hash collisions in 14719255 relations (13591635 unique)
Msieve: matrix is 827325 x 827550 (286.6 MB)

Sieving start time : 2022/05/11 17:00:06
Sieving end time  : 2022/05/11 19:18:07

Total sieving time: 2hrs 18min 1secs.

Total relation processing time: 0hrs 10min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 10, 2022 18:20:30 UTC 2022 年 5 月 11 日 (水) 3 時 20 分 30 秒 (日本時間)

73×10173+629

c162

name 名前Bob Backstrom
date 日付May 11, 2022 04:43:24 UTC 2022 年 5 月 11 日 (水) 13 時 43 分 24 秒 (日本時間)
composite number 合成数
494090513892089713518105056882356796982231093414364502644681174178919801728454692247885635386089938917443125404665480676502457992707303630667655438608836982174437<162>
prime factors 素因数
45776737397364441694619501202378513368776441429166922576106103<62>
10793484682037138184423017195769101854087054838629422469760313824728336317371662062310618617678594179<101>
factorization results 素因数分解の結果
Number: n
N=494090513892089713518105056882356796982231093414364502644681174178919801728454692247885635386089938917443125404665480676502457992707303630667655438608836982174437  ( 162 digits)
SNFS difficulty: 174 digits.
Divisors found:

Wed May 11 14:39:35 2022  p62 factor: 45776737397364441694619501202378513368776441429166922576106103
Wed May 11 14:39:35 2022  p101 factor: 10793484682037138184423017195769101854087054838629422469760313824728336317371662062310618617678594179
Wed May 11 14:39:35 2022  elapsed time 00:18:33 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 73x10^173+62 = 81(172)8
#
n: 494090513892089713518105056882356796982231093414364502644681174178919801728454692247885635386089938917443125404665480676502457992707303630667655438608836982174437
m: 10000000000000000000000000000000000
deg: 5
c5: 36500
c0: 31
skew: 0.24
# Murphy_E = 1.272e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2025820 hash collisions in 14647285 relations (13390860 unique)
Msieve: matrix is 804185 x 804410 (279.3 MB)

Sieving start time : 2022/05/11 13:04:25
Sieving end time  : 2022/05/11 14:20:44

Total sieving time: 1hrs 16min 19secs.

Total relation processing time: 0hrs 9min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 22sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10174+629

c136

name 名前Bob Backstrom
date 日付June 16, 2022 01:48:56 UTC 2022 年 6 月 16 日 (木) 10 時 48 分 56 秒 (日本時間)
composite number 合成数
3526814338106119712955442005997111058802340536385920186649413056397635148113035496992922184790468535646069967401260783688945870854204759<136>
prime factors 素因数
10837205682026876383454002638997721188997<41>
325435766523765159678797542096653906340114608671773178900852728677054723058141908643154453992747<96>
factorization results 素因数分解の結果
Number: n
N=3526814338106119712955442005997111058802340536385920186649413056397635148113035496992922184790468535646069967401260783688945870854204759  ( 136 digits)
SNFS difficulty: 176 digits.
Divisors found:

Thu Jun 16 10:29:20 2022  p41 factor: 10837205682026876383454002638997721188997
Thu Jun 16 10:29:20 2022  p96 factor: 325435766523765159678797542096653906340114608671773178900852728677054723058141908643154453992747
Thu Jun 16 10:29:20 2022  elapsed time 00:17:11 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.354).
Factorization parameters were as follows:
#
# N = 73x10^174+62 = 81(173)8
#
n: 3526814338106119712955442005997111058802340536385920186649413056397635148113035496992922184790468535646069967401260783688945870854204759
m: 50000000000000000000000000000000000
deg: 5
c5: 584
c0: 155
skew: 0.77
# Murphy_E = 1.418e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3559432 hash collisions in 28783422 relations (26831236 unique)
Msieve: matrix is 788036 x 788262 (271.4 MB)

Sieving start time : 2022/06/16 08:20:38
Sieving end time  : 2022/06/16 10:11:20

Total sieving time: 1hrs 50min 42secs.

Total relation processing time: 0hrs 8min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 43sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 11, 2022 18:54:57 UTC 2022 年 5 月 12 日 (木) 3 時 54 分 57 秒 (日本時間)

73×10177+629

c175

name 名前Ignacio Santos
date 日付May 12, 2022 15:43:15 UTC 2022 年 5 月 13 日 (金) 0 時 43 分 15 秒 (日本時間)
composite number 合成数
6468190678716994506468190678716994506468190678716994506468190678716994506468190678716994506468190678716994506468190678716994506468190678716994506468190678716994506468190678717<175>
prime factors 素因数
11860373110836381494034116784722569673<38>
composite cofactor 合成数の残り
545361483848029149718605539651473338619133596386279457793521286724245365502471731435471342829677497216320388456281995186386530956451993429<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3834798904
Step 1 took 5984ms
********** Factor found in step 2: 11860373110836381494034116784722569673
Found prime factor of 38 digits: 11860373110836381494034116784722569673
Composite cofactor 545361483848029149718605539651473338619133596386279457793521286724245365502471731435471342829677497216320388456281995186386530956451993429 has 138 digits
 
software ソフトウェア
GMP-ECM

c138

name 名前Bob Backstrom
date 日付June 15, 2022 22:17:24 UTC 2022 年 6 月 16 日 (木) 7 時 17 分 24 秒 (日本時間)
composite number 合成数
545361483848029149718605539651473338619133596386279457793521286724245365502471731435471342829677497216320388456281995186386530956451993429<138>
prime factors 素因数
275364999506885597849812906549605815399607784054332057829967<60>
1980504003139993089837254168936390337374043734574553725394630718606203226248987<79>
factorization results 素因数分解の結果
Number: n
N=545361483848029149718605539651473338619133596386279457793521286724245365502471731435471342829677497216320388456281995186386530956451993429  ( 138 digits)
SNFS difficulty: 178 digits.
Divisors found:

Thu Jun 16 08:10:28 2022  p60 factor: 275364999506885597849812906549605815399607784054332057829967
Thu Jun 16 08:10:28 2022  p79 factor: 1980504003139993089837254168936390337374043734574553725394630718606203226248987
Thu Jun 16 08:10:28 2022  elapsed time 00:25:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 73x10^177+62 = 81(176)8
#
n: 545361483848029149718605539651473338619133596386279457793521286724245365502471731435471342829677497216320388456281995186386530956451993429
m: 100000000000000000000000000000000000
deg: 5
c5: 3650
c0: 31
skew: 0.39
# Murphy_E = 9.178e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4066892 hash collisions in 28603255 relations (25968407 unique)
Msieve: matrix is 1038878 x 1039103 (355.2 MB)

Sieving start time : 2022/06/16 05:07:53
Sieving end time  : 2022/06/16 07:44:08

Total sieving time: 2hrs 36min 15secs.

Total relation processing time: 0hrs 17min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 13, 2022 17:59:44 UTC 2022 年 5 月 14 日 (土) 2 時 59 分 44 秒 (日本時間)

73×10178+629

c162

name 名前Bob Backstrom
date 日付May 13, 2022 17:23:20 UTC 2022 年 5 月 14 日 (土) 2 時 23 分 20 秒 (日本時間)
composite number 合成数
815224997001742597710359130073679521259467163010388561601910721988696037174678174564026150102056600467359226287844134165911133583229064537453345149552882700044229<162>
prime factors 素因数
10041984284029336931320467299796975038764991<44>
81181664295000700759955049350173798637804640500291068273976332123746262483885434545730222104968888221515392019881943419<119>
factorization results 素因数分解の結果
Number: n
N=815224997001742597710359130073679521259467163010388561601910721988696037174678174564026150102056600467359226287844134165911133583229064537453345149552882700044229  ( 162 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat May 14 03:18:54 2022  p44 factor: 10041984284029336931320467299796975038764991
Sat May 14 03:18:54 2022  p119 factor: 81181664295000700759955049350173798637804640500291068273976332123746262483885434545730222104968888221515392019881943419
Sat May 14 03:18:54 2022  elapsed time 00:27:53 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 73x10^178+62 = 81(177)8
#
n: 815224997001742597710359130073679521259467163010388561601910721988696037174678174564026150102056600467359226287844134165911133583229064537453345149552882700044229
m: 100000000000000000000000000000000000
deg: 5
c5: 36500
c0: 31
skew: 0.24
# Murphy_E = 8.024e-11
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4286188 hash collisions in 28695282 relations (25783009 unique)
Msieve: matrix is 1063481 x 1063706 (365.5 MB)

Sieving start time : 2022/05/14 00:14:16
Sieving end time  : 2022/05/14 02:50:01

Total sieving time: 2hrs 35min 45secs.

Total relation processing time: 0hrs 18min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 47sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 12, 2022 15:45:10 UTC 2022 年 5 月 13 日 (金) 0 時 45 分 10 秒 (日本時間)

73×10183+629

c174

name 名前Bob Backstrom
date 日付May 15, 2022 00:36:02 UTC 2022 年 5 月 15 日 (日) 9 時 36 分 2 秒 (日本時間)
composite number 合成数
290068083281769819584409831431144474132350910429804078189760067447227072868062669144004528034112935701874559228966246930335803252834597516124142314414121499711859665490831561<174>
prime factors 素因数
16574311210140410511080061185331270304617013172050967<53>
17501064122912199512541119152258014437066975205645398015329128513307481055233326993169812891399155865746109416058114493983<122>
factorization results 素因数分解の結果
Number: n
N=290068083281769819584409831431144474132350910429804078189760067447227072868062669144004528034112935701874559228966246930335803252834597516124142314414121499711859665490831561  ( 174 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sun May 15 09:13:39 2022  p53 factor: 16574311210140410511080061185331270304617013172050967
Sun May 15 09:13:39 2022  p122 factor: 17501064122912199512541119152258014437066975205645398015329128513307481055233326993169812891399155865746109416058114493983
Sun May 15 09:13:39 2022  elapsed time 00:28:15 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 73x10^183+62 = 81(182)8
#
n: 290068083281769819584409831431144474132350910429804078189760067447227072868062669144004528034112935701874559228966246930335803252834597516124142314414121499711859665490831561
m: 1000000000000000000000000000000000000
deg: 5
c5: 36500
c0: 31
skew: 0.24
# Murphy_E = 5.038e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3405518 hash collisions in 29609417 relations (27948524 unique)
Msieve: matrix is 1013786 x 1014011 (352.9 MB)

Sieving start time : 2022/05/15 05:04:52
Sieving end time  : 2022/05/15 08:44:50

Total sieving time: 3hrs 39min 58secs.

Total relation processing time: 0hrs 16min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 20sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 13, 2022 19:41:00 UTC 2022 年 5 月 14 日 (土) 4 時 41 分 0 秒 (日本時間)

73×10184+629

c106

name 名前Eric Jeancolas
date 日付May 9, 2022 05:58:21 UTC 2022 年 5 月 9 日 (月) 14 時 58 分 21 秒 (日本時間)
composite number 合成数
1090624692258293488296576065035865319696942550094921825193256129480601968090463485606673944723110645059933<106>
prime factors 素因数
2631674935890560896681936904105256668191321<43>
414422266741399512102886095113279397371648388067761321205073573<63>
factorization results 素因数分解の結果
1090624692258293488296576065035865319696942550094921825193256129480601968090463485606673944723110645059933=2631674935890560896681936904105256668191321*414422266741399512102886095113279397371648388067761321205073573

cado polynomial
n: 1090624692258293488296576065035865319696942550094921825193256129480601968090463485606673944723110645059933
skew: 3744.849
c0: 203671572361700249851200
c1: 556264490540388274374
c2: -6668705380050065
c3: -25326781689047
c4: 7036037358
c5: -670320
Y0: -146932094763128724667
Y1: 30317108439629
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.126e-06
# f(x) = -670320*x^5+7036037358*x^4-25326781689047*x^3-6668705380050065*x^2+556264490540388274374*x+203671572361700249851200
# g(x) = 30317108439629*x-146932094763128724667

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

cado log (extracts)
Info:Square Root: Factors: 2631674935890560896681936904105256668191321 414422266741399512102886095113279397371648388067761321205073573
Info:Square Root: Total cpu/real time for sqrt: 66.6/19.8651
Info:Generate Free Relations: Total cpu/real time for freerel: 62.47/16.4651
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.7/20.6457
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.299999999999997s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11205/30.590/37.070/42.640/1.008
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8843/28.850/32.791/37.640/0.901
Info:Polynomial Selection (size optimized): Total time: 514.66
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 55.76/56.9944
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 41.1s
Info:Linear Algebra: Total cpu/real time for bwc: 566.56/151.41
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 328.4, WCT time 86.99, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Linear Algebra: Lingen CPU time 29.9, WCT time 7.66
Info:Linear Algebra: Mksol: CPU time 192.2,  WCT time 50.45, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.416365
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.93/35.6987
Info:Square Root: Total cpu/real time for sqrt: 66.6/19.8651
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 153.23
Info:Polynomial Selection (root optimized): Rootsieve time: 152.61
Info:Filtering - Merging: Merged matrix has 220000 rows and total weight 32104192 (145.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 29.34/9.04466
Info:Filtering - Merging: Total cpu/real time for replay: 7.02/5.63153
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4829617
Info:Lattice Sieving: Average J: 1899.68 for 49259 special-q, max bucket fill -bkmult 1.0,1s:1.310550
Info:Lattice Sieving: Total time: 4722.51s
Info:Quadratic Characters: Total cpu/real time for characters: 8.22/3.1393
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10001.2/2003.47
2631674935890560896681936904105256668191321 414422266741399512102886095113279397371648388067761321205073573
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10187+629

c155

name 名前Bob Backstrom
date 日付May 18, 2022 08:51:16 UTC 2022 年 5 月 18 日 (水) 17 時 51 分 16 秒 (日本時間)
composite number 合成数
41844902949863364288781030861271476226791538362582838466808412635245750691032259075153363913426712904734817611769500252487271344456976267400259288255950829<155>
prime factors 素因数
363889971021806189952939210273600526730397694247<48>
114993284460032010292839865649019112724655211455000867254482383778736624231751293477720798229225352499311307<108>
factorization results 素因数分解の結果
Number: n
N=41844902949863364288781030861271476226791538362582838466808412635245750691032259075153363913426712904734817611769500252487271344456976267400259288255950829  ( 155 digits)
SNFS difficulty: 188 digits.
Divisors found:

Wed May 18 18:41:02 2022  p48 factor: 363889971021806189952939210273600526730397694247
Wed May 18 18:41:02 2022  p108 factor: 114993284460032010292839865649019112724655211455000867254482383778736624231751293477720798229225352499311307
Wed May 18 18:41:02 2022  elapsed time 00:40:33 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 73x10^187+62 = 81(186)8
#
n: 41844902949863364288781030861271476226791538362582838466808412635245750691032259075153363913426712904734817611769500252487271344456976267400259288255950829
m: 10000000000000000000000000000000000000
deg: 5
c5: 3650
c0: 31
skew: 0.39
# Murphy_E = 3.606e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3409505 hash collisions in 29001432 relations (26534518 unique)
Msieve: matrix is 1224964 x 1225189 (426.3 MB)

Sieving start time : 2022/05/18 13:12:51
Sieving end time  : 2022/05/18 17:30:36

Total sieving time: 4hrs 17min 45secs.

Total relation processing time: 0hrs 25min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 32sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 15, 2022 16:59:18 UTC 2022 年 5 月 16 日 (月) 1 時 59 分 18 秒 (日本時間)

73×10188+629

c164

name 名前Bob Backstrom
date 日付May 16, 2022 17:02:50 UTC 2022 年 5 月 17 日 (火) 2 時 2 分 50 秒 (日本時間)
composite number 合成数
12482237068384432266519990592742475414726414543440076082175367527759710603638436944837317878263557480777227023149815998637015864041407020918609220266358193527908043<164>
prime factors 素因数
173801854846493116091921804237188577098931552855837733310398613454588849<72>
71818779376141349553681123414450058087815357377670297855450278513954538266416383286154478907<92>
factorization results 素因数分解の結果
Number: n
N=12482237068384432266519990592742475414726414543440076082175367527759710603638436944837317878263557480777227023149815998637015864041407020918609220266358193527908043  ( 164 digits)
SNFS difficulty: 189 digits.
Divisors found:

Tue May 17 02:53:56 2022  p72 factor: 173801854846493116091921804237188577098931552855837733310398613454588849
Tue May 17 02:53:56 2022  p92 factor: 71818779376141349553681123414450058087815357377670297855450278513954538266416383286154478907
Tue May 17 02:53:56 2022  elapsed time 00:40:30 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 73x10^188+62 = 81(187)8
#
n: 12482237068384432266519990592742475414726414543440076082175367527759710603638436944837317878263557480777227023149815998637015864041407020918609220266358193527908043
m: 10000000000000000000000000000000000000
deg: 5
c5: 36500
c0: 31
skew: 0.24
# Murphy_E = 3.15e-11
type: snfs
lss: 1
rlim: 10100000
alim: 10100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3513781 hash collisions in 28579389 relations (26662212 unique)
Msieve: matrix is 1290793 x 1291018 (450.1 MB)

Sieving start time : 2022/05/16 20:33:54
Sieving end time  : 2022/05/17 02:12:33

Total sieving time: 5hrs 38min 39secs.

Total relation processing time: 0hrs 29min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 53sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10100000,10100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 15, 2022 17:09:39 UTC 2022 年 5 月 16 日 (月) 2 時 9 分 39 秒 (日本時間)

73×10189+629

c146

name 名前Eric Jeancolas
date 日付August 17, 2022 18:23:48 UTC 2022 年 8 月 18 日 (木) 3 時 23 分 48 秒 (日本時間)
composite number 合成数
13931484279163834437097729381602496467736301858053342749236768878100947220038608011517028765996788145858139011564750922605281449587477134176614721<146>
prime factors 素因数
1468047719940440969763874335166806041854455786761531301135428203713907709<73>
9489803423916654375620480688235630594868874519074757378884773089205349269<73>
factorization results 素因数分解の結果
13931484279163834437097729381602496467736301858053342749236768878100947220038608011517028765996788145858139011564750922605281449587477134176614721=1468047719940440969763874335166806041854455786761531301135428203713907709*9489803423916654375620480688235630594868874519074757378884773089205349269

cado polynomial
n: 13931484279163834437097729381602496467736301858053342749236768878100947220038608011517028765996788145858139011564750922605281449587477134176614721
skew: 0.77
type: snfs
c0: 155
c5: 584
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 584*x^5+155
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10800000
tasks.lim1 = 10800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1468047719940440969763874335166806041854455786761531301135428203713907709 9489803423916654375620480688235630594868874519074757378884773089205349269
Info:Square Root: Total cpu/real time for sqrt: 1050.97/322.633
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24689229
Info:Lattice Sieving: Average J: 1894.1 for 1868966 special-q, max bucket fill -bkmult 1.0,1s:1.147440
Info:Lattice Sieving: Total time: 371956s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.67/2.29634
Info:Quadratic Characters: Total cpu/real time for characters: 69.37/30.3191
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 404.61/401.204
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 331.4s
Info:Filtering - Merging: Merged matrix has 1967292 rows and total weight 336404190 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 541.75/148.776
Info:Filtering - Merging: Total cpu/real time for replay: 76.14/66.5492
Info:Square Root: Total cpu/real time for sqrt: 1050.97/322.633
Info:Linear Algebra: Total cpu/real time for bwc: 64102.2/16454.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 41053.78, WCT time 10479.24, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61696 iterations)
Info:Linear Algebra: Lingen CPU time 394.79, WCT time 100.41
Info:Linear Algebra: Mksol: CPU time 22275.72,  WCT time 5729.17, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30976 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.9/31.3752
Info:Filtering - Singleton removal: Total cpu/real time for purge: 290.05/338.401
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.6/118.344
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 117.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 769499/129006
1468047719940440969763874335166806041854455786761531301135428203713907709 9489803423916654375620480688235630594868874519074757378884773089205349269
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 17, 2022 17:09:12 UTC 2022 年 5 月 18 日 (水) 2 時 9 分 12 秒 (日本時間)

73×10190+629

c151

name 名前Bob Backstrom
date 日付May 18, 2022 21:10:27 UTC 2022 年 5 月 19 日 (木) 6 時 10 分 27 秒 (日本時間)
composite number 合成数
1841893374728024707598161062616827742162233830971669626072127247569863247520029194129771034750833022833823600603338617977032385519495737027555349928273<151>
prime factors 素因数
128541217231972070690289460482583502104554913489<48>
311914175609998200955615314210373870190059246414943<51>
45939574133322526568680798851921694301663389127847199<53>
factorization results 素因数分解の結果
Number: n
N=1841893374728024707598161062616827742162233830971669626072127247569863247520029194129771034750833022833823600603338617977032385519495737027555349928273  ( 151 digits)
SNFS difficulty: 191 digits.
Divisors found:

Thu May 19 07:03:04 2022  found factor: 128541217231972070690289460482583502104554913489
Thu May 19 07:06:13 2022  p48 factor: 128541217231972070690289460482583502104554913489
Thu May 19 07:06:13 2022  p51 factor: 311914175609998200955615314210373870190059246414943
Thu May 19 07:06:13 2022  p53 factor: 45939574133322526568680798851921694301663389127847199
Thu May 19 07:06:13 2022  elapsed time 00:46:24 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 73x10^190+62 = 81(189)8
#
n: 1841893374728024707598161062616827742162233830971669626072127247569863247520029194129771034750833022833823600603338617977032385519495737027555349928273
m: 100000000000000000000000000000000000000
deg: 5
c5: 73
c0: 62
skew: 0.97
# Murphy_E = 3.05e-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, 25500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3374642 hash collisions in 28736159 relations (27016506 unique)
Msieve: matrix is 1327511 x 1327736 (461.7 MB)

Sieving start time : 2022/05/18 22:57:50
Sieving end time  : 2022/05/19 06:18:46

Total sieving time: 7hrs 20min 56secs.

Total relation processing time: 0hrs 31min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 53sec.

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) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 17, 2022 17:28:25 UTC 2022 年 5 月 18 日 (水) 2 時 28 分 25 秒 (日本時間)

73×10192+629

c184

name 名前Bob Backstrom
date 日付June 27, 2022 08:01:55 UTC 2022 年 6 月 27 日 (月) 17 時 1 分 55 秒 (日本時間)
composite number 合成数
5115730377094419102664891131483807954476437895656990787266030969219200717548656965671272391381744987609443838588495885152390115841387742817068395799904461787025508528396759814503465157<184>
prime factors 素因数
37800556030443827558261756441390080563218497440358913279275961947<65>
135334791715082445905230847057289027644065694155796195754370565388679117450821044968034863079786600013982349357556078431<120>
factorization results 素因数分解の結果
Number: n
N=5115730377094419102664891131483807954476437895656990787266030969219200717548656965671272391381744987609443838588495885152390115841387742817068395799904461787025508528396759814503465157  ( 184 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Jun 27 17:50:40 2022  p65 factor: 37800556030443827558261756441390080563218497440358913279275961947
Mon Jun 27 17:50:40 2022  p120 factor: 135334791715082445905230847057289027644065694155796195754370565388679117450821044968034863079786600013982349357556078431
Mon Jun 27 17:50:40 2022  elapsed time 01:12:42 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 73x10^192+62 = 81(191)8
#
n: 5115730377094419102664891131483807954476437895656990787266030969219200717548656965671272391381744987609443838588495885152390115841387742817068395799904461787025508528396759814503465157
m: 100000000000000000000000000000000000000
deg: 5
c5: 3650
c0: 31
skew: 0.39
# Murphy_E = 2.246e-11
type: snfs
lss: 1
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3416642 hash collisions in 27805849 relations (25929058 unique)
Msieve: matrix is 1627993 x 1628219 (569.0 MB)

Sieving start time : 2022/06/27 10:53:48
Sieving end time  : 2022/06/27 16:37:28

Total sieving time: 5hrs 43min 40secs.

Total relation processing time: 0hrs 52min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 6sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11800000,11800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10193+629

c180

name 名前Bob Backstrom
date 日付July 17, 2022 12:27:21 UTC 2022 年 7 月 17 日 (日) 21 時 27 分 21 秒 (日本時間)
composite number 合成数
116727414221687207751190722545292570157731621962719398553967769988021761651398402968898251012302582037747374931353988378422299907085342731402225214825345331472002601246699945506429<180>
prime factors 素因数
5445634561214964350778577341797755603755244571<46>
734564141941913886741512499312158474068572331717910231386201<60>
29180628853269823789029077126022600820911222546041008836572008275522327199<74>
factorization results 素因数分解の結果
Number: n
N=116727414221687207751190722545292570157731621962719398553967769988021761651398402968898251012302582037747374931353988378422299907085342731402225214825345331472002601246699945506429  ( 180 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sun Jul 17 22:19:08 2022  found factor: 5445634561214964350778577341797755603755244571
Sun Jul 17 22:21:48 2022  p46 factor: 5445634561214964350778577341797755603755244571
Sun Jul 17 22:21:48 2022  p60 factor: 734564141941913886741512499312158474068572331717910231386201
Sun Jul 17 22:21:48 2022  p74 factor: 29180628853269823789029077126022600820911222546041008836572008275522327199
Sun Jul 17 22:21:48 2022  elapsed time 01:16:29 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 73x10^193+62 = 81(192)8
#
n: 116727414221687207751190722545292570157731621962719398553967769988021761651398402968898251012302582037747374931353988378422299907085342731402225214825345331472002601246699945506429
m: 100000000000000000000000000000000000000
deg: 5
c5: 36500
c0: 31
skew: 0.24
# Murphy_E = 1.961e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3427681 hash collisions in 27831187 relations (25942951 unique)
Msieve: matrix is 1683639 x 1683864 (590.8 MB)

Sieving start time : 2022/07/17 13:45:01
Sieving end time  : 2022/07/17 21:04:49

Total sieving time: 7hrs 19min 48secs.

Total relation processing time: 1hrs 3min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 22sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10195+629

c178

name 名前Bob Backstrom
date 日付July 25, 2022 09:44:40 UTC 2022 年 7 月 25 日 (月) 18 時 44 分 40 秒 (日本時間)
composite number 合成数
1159117005976267691428504330418242687106219930842704802147132437769851801650492010128231125559218192368360442921644221535754879844232080087590085015391592183151761992815210361763<178>
prime factors 素因数
71702177094715525596651010801746930502045547094277453<53>
16165715644102736762808608790281409456967354088506646607976128359692077655806658576322407267382432022489438562880006069124271<125>
factorization results 素因数分解の結果
Number: n
N=1159117005976267691428504330418242687106219930842704802147132437769851801650492010128231125559218192368360442921644221535754879844232080087590085015391592183151761992815210361763  ( 178 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Jul 25 19:36:49 2022  p53 factor: 71702177094715525596651010801746930502045547094277453
Mon Jul 25 19:36:49 2022  p125 factor: 16165715644102736762808608790281409456967354088506646607976128359692077655806658576322407267382432022489438562880006069124271
Mon Jul 25 19:36:49 2022  elapsed time 01:10:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 73x10^195+62 = 81(194)8
#
n: 1159117005976267691428504330418242687106219930842704802147132437769851801650492010128231125559218192368360442921644221535754879844232080087590085015391592183151761992815210361763
m: 1000000000000000000000000000000000000000
deg: 5
c5: 73
c0: 62
skew: 0.97
# Murphy_E = 1.893e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3357881 hash collisions in 27759279 relations (25952368 unique)
Msieve: matrix is 1711468 x 1711693 (597.9 MB)

Sieving start time : 2022/07/25 12:33:48
Sieving end time  : 2022/07/25 18:25:52

Total sieving time: 5hrs 52min 4secs.

Total relation processing time: 0hrs 58min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 21sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10198+629

c160

name 名前Ignacio Santos
date 日付August 27, 2022 16:10:38 UTC 2022 年 8 月 28 日 (日) 1 時 10 分 38 秒 (日本時間)
composite number 合成数
5282857792584299182073845284338305781868837478358933528574996701746980620833035164964641902730843607560289934812062884308957894591164292068554602712052882047013<160>
prime factors 素因数
3052615212338430046498673093612657<34>
composite cofactor 合成数の残り
1730600624419155234256572881135408883638622637863818962848232659238882088918452251536318421366768187535830534329279007522648309<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:666053266
Step 1 took 4938ms
********** Factor found in step 2: 3052615212338430046498673093612657
Found prime factor of 34 digits: 3052615212338430046498673093612657
Composite cofactor 1730600624419155234256572881135408883638622637863818962848232659238882088918452251536318421366768187535830534329279007522648309 has 127 digits
 
software ソフトウェア
GMP-ECM

c127

name 名前Eric Jeancolas
date 日付August 30, 2022 05:55:31 UTC 2022 年 8 月 30 日 (火) 14 時 55 分 31 秒 (日本時間)
composite number 合成数
1730600624419155234256572881135408883638622637863818962848232659238882088918452251536318421366768187535830534329279007522648309<127>
prime factors 素因数
59056560323028589813888609783664456720336730976305948799<56>
29304121590439506824680819870453288025902436509034876657278811523812491<71>
factorization results 素因数分解の結果
1730600624419155234256572881135408883638622637863818962848232659238882088918452251536318421366768187535830534329279007522648309=59056560323028589813888609783664456720336730976305948799*29304121590439506824680819870453288025902436509034876657278811523812491

cado polynomial
n: 1730600624419155234256572881135408883638622637863818962848232659238882088918452251536318421366768187535830534329279007522648309
skew: 162616.147
c0: -1561211584308390408342951429372
c1: -53902957599738068715942728
c2: 221636706130130217639
c3: -793812377914717
c4: 2242077858
c5: 32400
Y0: -3168841030262300789890075
Y1: 139515342348937193
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.210e-07
# f(x) = 32400*x^5+2242077858*x^4-793812377914717*x^3+221636706130130217639*x^2-53902957599738068715942728*x-1561211584308390408342951429372
# g(x) = 139515342348937193*x-3168841030262300789890075

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: 29304121590439506824680819870453288025902436509034876657278811523812491 59056560323028589813888609783664456720336730976305948799
Info:Square Root: Total cpu/real time for sqrt: 281.21/83.4513
Info:Filtering - Singleton removal: Total cpu/real time for purge: 140.94/159.185
Info:Filtering - Merging: Merged matrix has 802818 rows and total weight 136866346 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 161.62/46.2453
Info:Filtering - Merging: Total cpu/real time for replay: 29.26/24.5486
Info:Generate Factor Base: Total cpu/real time for makefb: 8.54/2.37479
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12204960
Info:Lattice Sieving: Average J: 3804.05 for 245405 special-q, max bucket fill -bkmult 1.0,1s:1.198180
Info:Lattice Sieving: Total time: 73068.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2991.81
Info:Polynomial Selection (root optimized): Rootsieve time: 2989.34
Info:Linear Algebra: Total cpu/real time for bwc: 9659.9/2484.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6081.91, WCT time 1556.43, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 145.81, WCT time 37.09
Info:Linear Algebra: Mksol: CPU time 3306.46,  WCT time 845.25, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
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): 20193/37.670/44.978/49.480/0.869
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16017/36.560/40.379/45.790/1.037
Info:Polynomial Selection (size optimized): Total time: 1959.13
Info:Generate Free Relations: Total cpu/real time for freerel: 128/33.2708
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 198.06/193.706
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 159.5s
Info:Square Root: Total cpu/real time for sqrt: 281.21/83.4513
Info:Quadratic Characters: Total cpu/real time for characters: 29.51/11.8383
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.86/55.6891
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 151201/40926.8
Info:root: Cleaning up computation data in /tmp/cado.a7ur2t4o
29304121590439506824680819870453288025902436509034876657278811523812491 59056560323028589813888609783664456720336730976305948799
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10200+629

c155

name 名前Eric Jeancolas
date 日付January 17, 2023 04:06:56 UTC 2023 年 1 月 17 日 (火) 13 時 6 分 56 秒 (日本時間)
composite number 合成数
67306909667737433027077832047230873916703745272366474349172047315318220833837991031575863951057357559262442449356393546685741587266571694886272171533706573<155>
prime factors 素因数
465059763119705789263505341352172634649898810596102374549567326941483400041<75>
144727441514678448783528579261221852030600122757540290140865414145096722642768453<81>
factorization results 素因数分解の結果
67306909667737433027077832047230873916703745272366474349172047315318220833837991031575863951057357559262442449356393546685741587266571694886272171533706573=465059763119705789263505341352172634649898810596102374549567326941483400041*144727441514678448783528579261221852030600122757540290140865414145096722642768453

cado polynomial
n: 67306909667737433027077832047230873916703745272366474349172047315318220833837991031575863951057357559262442449356393546685741587266571694886272171533706573
skew: 0.97
type: snfs
c0: 62
c5: 73
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 73*x^5+62
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16200000
tasks.lim1 = 16200000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 144727441514678448783528579261221852030600122757540290140865414145096722642768453 465059763119705789263505341352172634649898810596102374549567326941483400041
Info:Square Root: Total cpu/real time for sqrt: 795.19/257.5
Info:Generate Factor Base: Total cpu/real time for makefb: 6.89/2.96415
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 520.46/507.731
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 483.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 235.17/60.6289
Info:Square Root: Total cpu/real time for sqrt: 795.19/257.5
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 189.22/203.948
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 203.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 202.72/197.887
Info:Filtering - Merging: Merged matrix has 2706676 rows and total weight 460498737 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 744.88/204.927
Info:Filtering - Merging: Total cpu/real time for replay: 106.36/94.9635
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43284584
Info:Lattice Sieving: Average J: 3789.9 for 1574312 special-q, max bucket fill -bkmult 1.0,1s:1.077890
Info:Lattice Sieving: Total time: 724509s
Info:Linear Algebra: Total cpu/real time for bwc: 129807/33296.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 83327.65, WCT time 21269.88, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84992 iterations)
Info:Linear Algebra: Lingen CPU time 583.68, WCT time 148.0
Info:Linear Algebra: Mksol: CPU time 44913.44,  WCT time 11496.58, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 99.64/42.6228
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.50919e+06/318772
Info:root: Cleaning up computation data in /tmp/cado.3u1s6bal
144727441514678448783528579261221852030600122757540290140865414145096722642768453 465059763119705789263505341352172634649898810596102374549567326941483400041
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:56:31 UTC 2022 年 6 月 10 日 (金) 7 時 56 分 31 秒 (日本時間)
2350Ignacio SantosNovember 4, 2022 14:37:25 UTC 2022 年 11 月 4 日 (金) 23 時 37 分 25 秒 (日本時間)

73×10201+629

c176

name 名前Bob Backstrom
date 日付July 30, 2023 07:49:58 UTC 2023 年 7 月 30 日 (日) 16 時 49 分 58 秒 (日本時間)
composite number 合成数
21873499198561434691620873584559101036363448130225498786677748967028626395583296315306238116539539908913779864702225651631375096973715208347412053292424793980218558578638593651<176>
prime factors 素因数
30617669849446324552364771757505717560462970745901314513<56>
714407703333341178363970653413590657544212289931271748415751929789072041130195546986694574563603909091348489596593338627<120>
factorization results 素因数分解の結果
Number: n
N=21873499198561434691620873584559101036363448130225498786677748967028626395583296315306238116539539908913779864702225651631375096973715208347412053292424793980218558578638593651  ( 176 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Jul 30 17:24:30 2023  prp56 factor: 30617669849446324552364771757505717560462970745901314513
Sun Jul 30 17:24:30 2023  prp120 factor: 714407703333341178363970653413590657544212289931271748415751929789072041130195546986694574563603909091348489596593338627
Sun Jul 30 17:24:30 2023  elapsed time 02:49:14 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.104).
Factorization parameters were as follows:
#
# N = 73x10^201+62 = 81(200)8
#
n: 21873499198561434691620873584559101036363448130225498786677748967028626395583296315306238116539539908913779864702225651631375096973715208347412053292424793980218558578638593651
m: 10000000000000000000000000000000000000000
deg: 5
c5: 365
c0: 31
skew: 0.61
# Murphy_E = 1.061e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3095908 hash collisions in 17330776 relations (14922017 unique)
Msieve: matrix is 2318789 x 2319014 (655.0 MB)

Sieving start time: 2023/07/29 23:52:53
Sieving end time  : 2023/07/30 14:34:54

Total sieving time: 14hrs 42min 1secs.

Total relation processing time: 2hrs 41min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 52sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e629201000Dmitry DomanovMay 18, 2022 08:26:24 UTC 2022 年 5 月 18 日 (水) 17 時 26 分 24 秒 (日本時間)
1920xxxApril 11, 2023 05:04:53 UTC 2023 年 4 月 11 日 (火) 14 時 4 分 53 秒 (日本時間)

73×10202+629

c128

name 名前ebina
date 日付May 11, 2022 12:34:17 UTC 2022 年 5 月 11 日 (水) 21 時 34 分 17 秒 (日本時間)
composite number 合成数
20283837423813495130521751935419002416779234151943140090549386820576377794500838131045386751155907348730668153967052353301353919<128>
prime factors 素因数
34877135851118378169900376777717677314707675767876885761<56>
581579792285697937744341234704726973175502832767255670509009483035570879<72>
factorization results 素因数分解の結果
Wed May 11 21:29:54 2022  Msieve v. 1.53 (SVN unknown)
Wed May 11 21:29:54 2022  random seeds: c124bce4 5d05a7da
Wed May 11 21:29:54 2022  factoring 20283837423813495130521751935419002416779234151943140090549386820576377794500838131045386751155907348730668153967052353301353919 (128 digits)
Wed May 11 21:29:55 2022  searching for 15-digit factors
Wed May 11 21:29:55 2022  commencing number field sieve (128-digit input)
Wed May 11 21:29:55 2022  R0: -2245248868302302822668928
Wed May 11 21:29:55 2022  R1: 232442193362951
Wed May 11 21:29:55 2022  A0: -47099101791054771074087322327
Wed May 11 21:29:55 2022  A1: 1580401712237146507535190
Wed May 11 21:29:55 2022  A2: 150751673474765051711
Wed May 11 21:29:55 2022  A3: -2453280833770624
Wed May 11 21:29:55 2022  A4: -94207810350
Wed May 11 21:29:55 2022  A5: 355500
Wed May 11 21:29:55 2022  skew 45334.81, size 2.138e-12, alpha -4.836, combined = 9.287e-11 rroots = 5
Wed May 11 21:29:55 2022  
Wed May 11 21:29:55 2022  commencing square root phase
Wed May 11 21:29:55 2022  reading relations for dependency 1
Wed May 11 21:29:55 2022  read 687201 cycles
Wed May 11 21:29:56 2022  cycles contain 2465392 unique relations
Wed May 11 21:30:16 2022  read 2465392 relations
Wed May 11 21:30:24 2022  multiplying 2465392 relations
Wed May 11 21:31:41 2022  multiply complete, coefficients have about 122.68 million bits
Wed May 11 21:31:42 2022  initial square root is modulo 639074959
Wed May 11 21:33:24 2022  sqrtTime: 209
Wed May 11 21:33:24 2022  p56 factor: 34877135851118378169900376777717677314707675767876885761
Wed May 11 21:33:24 2022  p72 factor: 581579792285697937744341234704726973175502832767255670509009483035570879
Wed May 11 21:33:24 2022  elapsed time 00:03:30

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 21:07:41 UTC 2022 年 5 月 8 日 (日) 6 時 7 分 41 秒 (日本時間)

73×10203+629

c163

name 名前Bob Backstrom
date 日付September 10, 2023 16:55:59 UTC 2023 年 9 月 11 日 (月) 1 時 55 分 59 秒 (日本時間)
composite number 合成数
5200099725363890639334755768240646515202629905190816666368207988982502268555075603900961174873595576610419970570982744783711844441027800878094772868083860215815987<163>
prime factors 素因数
2405419480404702431138529240940978365069046225757<49>
2161826561947105447909199566050688224174199271493071698319588777564852609414822182673412792470526498183144714685391<115>
factorization results 素因数分解の結果
Number: n
N=5200099725363890639334755768240646515202629905190816666368207988982502268555075603900961174873595576610419970570982744783711844441027800878094772868083860215815987  ( 163 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Sep 11 02:48:51 2023  prp49 factor: 2405419480404702431138529240940978365069046225757
Mon Sep 11 02:48:51 2023  prp115 factor: 2161826561947105447909199566050688224174199271493071698319588777564852609414822182673412792470526498183144714685391
Mon Sep 11 02:48:51 2023  elapsed time 03:25:48 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 73x10^203+62 = 81(202)8
#
n: 5200099725363890639334755768240646515202629905190816666368207988982502268555075603900961174873595576610419970570982744783711844441027800878094772868083860215815987
m: 10000000000000000000000000000000000000000
deg: 5
c5: 36500
c0: 31
skew: 0.24
# Murphy_E = 7.503e-12
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3260707 hash collisions in 18240256 relations (15342648 unique)
Msieve: matrix is 2510652 x 2510877 (711.3 MB)

Sieving start time: 2023/09/10 03:58:56
Sieving end time  : 2023/09/10 23:22:38

Total sieving time: 19hrs 23min 42secs.

Total relation processing time: 3hrs 17min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 28sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18000000,18000000,27,27,56,56,2.6,2.6,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 08:26:41 UTC 2022 年 5 月 18 日 (水) 17 時 26 分 41 秒 (日本時間)
2350Ignacio SantosAugust 26, 2023 16:18:53 UTC 2023 年 8 月 27 日 (日) 1 時 18 分 53 秒 (日本時間)

73×10204+629

c193

name 名前Bob Backstrom
date 日付January 20, 2024 02:18:43 UTC 2024 年 1 月 20 日 (土) 11 時 18 分 43 秒 (日本時間)
composite number 合成数
3046681951269622851021791902717173938306993187539410770550099060210665838749045701179512200383867331552271695251321386767833408283399909166056545357446191197776113832201382050066493140875322223<193>
prime factors 素因数
25068159690472457456981843325744558158079645032012123<53>
121535924012306397487728748134439381529011530618103097279458710423419337005362220886793677155358067437647130190095206021423374092368816088701<141>
factorization results 素因数分解の結果
Number: n
N=3046681951269622851021791902717173938306993187539410770550099060210665838749045701179512200383867331552271695251321386767833408283399909166056545357446191197776113832201382050066493140875322223  ( 193 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Jan 20 13:09:47 2024  prp53 factor: 25068159690472457456981843325744558158079645032012123
Sat Jan 20 13:09:47 2024  prp141 factor: 121535924012306397487728748134439381529011530618103097279458710423419337005362220886793677155358067437647130190095206021423374092368816088701
Sat Jan 20 13:09:47 2024  elapsed time 03:11:56 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
#
# N = 73x10^204+62 = 81(203)8
#
n: 3046681951269622851021791902717173938306993187539410770550099060210665838749045701179512200383867331552271695251321386767833408283399909166056545357446191197776113832201382050066493140875322223
m: 50000000000000000000000000000000000000000
deg: 5
c5: 584
c0: 155
skew: 0.77
# Murphy_E = 8.267e-12
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 71200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3000747 hash collisions in 19111887 relations (16626255 unique)
Msieve: matrix is 2450812 x 2451037 (695.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 3hrs 0min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 52sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19200000,19200000,27,27,56,56,2.6,2.6,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:56:51 UTC 2022 年 6 月 10 日 (金) 7 時 56 分 51 秒 (日本時間)
2350Ignacio SantosOctober 9, 2023 14:12:00 UTC 2023 年 10 月 9 日 (月) 23 時 12 分 0 秒 (日本時間)
4511e64480Ignacio SantosJanuary 15, 2024 08:25:00 UTC 2024 年 1 月 15 日 (月) 17 時 25 分 0 秒 (日本時間)

73×10206+629

c182

name 名前Bob Backstrom
date 日付July 24, 2024 08:35:31 UTC 2024 年 7 月 24 日 (水) 17 時 35 分 31 秒 (日本時間)
composite number 合成数
49416121331276470029035116696055667039011681768941102216653142369927619527916012053886472771775627871960167778875141438163016323766470782774850547101315638138658425159791327028698511<182>
prime factors 素因数
462302230432890710847811616293282188288817135876371397<54>
53569585815653291526530016807356761150773750999785009102987<59>
1995374314053146439438815530272315981134570377725140381849807363044649<70>
factorization results 素因数分解の結果
Number: n
N=49416121331276470029035116696055667039011681768941102216653142369927619527916012053886472771775627871960167778875141438163016323766470782774850547101315638138658425159791327028698511  ( 182 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Jul 24 18:27:22 2024  prp54 factor: 462302230432890710847811616293282188288817135876371397
Wed Jul 24 18:27:22 2024  prp59 factor: 53569585815653291526530016807356761150773750999785009102987
Wed Jul 24 18:27:22 2024  prp70 factor: 1995374314053146439438815530272315981134570377725140381849807363044649
Wed Jul 24 18:27:22 2024  elapsed time 05:55:56 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.946).
Factorization parameters were as follows:
#
# N = 73x10^206+62 = 81(205)8
#
n: 49416121331276470029035116696055667039011681768941102216653142369927619527916012053886472771775627871960167778875141438163016323766470782774850547101315638138658425159791327028698511
m: 100000000000000000000000000000000000000000
deg: 5
c5: 365
c0: 31
skew: 0.61
# Murphy_E = 6.529e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 50000000
qintsize: 50000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [50000000, 80800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4496496 hash collisions in 24231745 relations (20344036 unique)
Msieve: matrix is 3167295 x 3167520 (897.5 MB)

Sieving start time: 2024/07/23 20:51:43
Sieving end time  : 2024/07/24 12:30:04

Total sieving time: 15hrs 38min 21secs.

Total relation processing time: 5hrs 35min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 22sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:57:02 UTC 2022 年 6 月 10 日 (金) 7 時 57 分 2 秒 (日本時間)
2350Ignacio SantosOctober 9, 2023 14:12:11 UTC 2023 年 10 月 9 日 (月) 23 時 12 分 11 秒 (日本時間)

73×10207+629

c201

composite cofactor 合成数の残り
224044173997959823060591838404659146528824378652921329478619559617421186369636143852098042638994596306189227672529497579221114541687779760967700435335017028370026275348288791418010626335376168111846731<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:13:12 UTC 2023 年 7 月 12 日 (水) 2 時 13 分 12 秒 (日本時間)
2350Ignacio SantosOctober 9, 2023 14:21:03 UTC 2023 年 10 月 9 日 (月) 23 時 21 分 3 秒 (日本時間)

73×10208+629

c122

name 名前Ignacio Santos
date 日付May 7, 2022 21:03:51 UTC 2022 年 5 月 8 日 (日) 6 時 3 分 51 秒 (日本時間)
composite number 合成数
74158642775754551968916262308600732213592300283846474482254142897572803925971363656929629938036512063831451936134902930757<122>
prime factors 素因数
476445515617311135256667239360707316320212911<45>
155649786481189156694560398656661593592335476943759569063245398918243036832587<78>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:695361766
Step 1 took 4750ms
Step 2 took 2890ms
********** Factor found in step 2: 476445515617311135256667239360707316320212911
Found prime factor of 45 digits: 476445515617311135256667239360707316320212911
Prime cofactor 155649786481189156694560398656661593592335476943759569063245398918243036832587 has 78 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

73×10210+629

c176

composite cofactor 合成数の残り
78431460588070198222493210886481096076565848032628681571898376817468254848111414224439245211957930841113407017979332743773277810298236367957008075304897058271411068076297085797<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 08:26:51 UTC 2022 年 5 月 18 日 (水) 17 時 26 分 51 秒 (日本時間)
2350dddApril 11, 2023 07:01:00 UTC 2023 年 4 月 11 日 (火) 16 時 1 分 0 秒 (日本時間)

73×10213+629

c199

composite cofactor 合成数の残り
5570501151350836494525924839593374156736272735282360269898572997828843264647314544231781188645636495108148227015936611974294860725139139300194742048558764670936921528279818745008417206441372417211567<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:57:10 UTC 2022 年 6 月 10 日 (金) 7 時 57 分 10 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 06:26:47 UTC 2023 年 10 月 10 日 (火) 15 時 26 分 47 秒 (日本時間)

73×10214+629

c121

name 名前Eric Jeancolas
date 日付May 10, 2022 04:04:08 UTC 2022 年 5 月 10 日 (火) 13 時 4 分 8 秒 (日本時間)
composite number 合成数
1788158053838485757097485933117721560952749962078882247655499806113874560580782667643285774498415402546843714225650719281<121>
prime factors 素因数
2467315441062226640410603418754909272105457712109171<52>
724738322501904905847576205520666701076436439832276515566199484350411<69>
factorization results 素因数分解の結果
1788158053838485757097485933117721560952749962078882247655499806113874560580782667643285774498415402546843714225650719281=2467315441062226640410603418754909272105457712109171*724738322501904905847576205520666701076436439832276515566199484350411

cado polynomial
n: 1788158053838485757097485933117721560952749962078882247655499806113874560580782667643285774498415402546843714225650719281
skew: 16217.495
c0: -11892675350876374247952132
c1: 43213018338350354750705
c2: 1645817514742427162
c3: -126832893558055
c4: 6605836644
c5: -125280
Y0: -145239581586211926950855
Y1: 335575008621159847
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.369e-06
# f(x) = -125280*x^5+6605836644*x^4-126832893558055*x^3+1645817514742427162*x^2+43213018338350354750705*x-11892675350876374247952132
# g(x) = 335575008621159847*x-145239581586211926950855

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: 724738322501904905847576205520666701076436439832276515566199484350411 2467315441062226640410603418754909272105457712109171
Info:Square Root: Total cpu/real time for sqrt: 223.52/65.7955
Info:Filtering - Singleton removal: Total cpu/real time for purge: 108.17/124.65
Info:Linear Algebra: Total cpu/real time for bwc: 5264.61/1368.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3213.89, WCT time 832.91, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Linear Algebra: Lingen CPU time 127.94, WCT time 32.58
Info:Linear Algebra: Mksol: CPU time 1847.71,  WCT time 476.76, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13941802
Info:Lattice Sieving: Average J: 1897.01 for 307605 special-q, max bucket fill -bkmult 1.0,1s:1.270340
Info:Lattice Sieving: Total time: 36905.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/1.37013
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1756.32
Info:Polynomial Selection (root optimized): Rootsieve time: 1753.93
Info:Generate Free Relations: Total cpu/real time for freerel: 126.5/32.9723
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.28/60.5587
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.1s
Info:Filtering - Merging: Merged matrix has 741415 rows and total weight 74843492 (100.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 55.5/18.381
Info:Filtering - Merging: Total cpu/real time for replay: 18.36/14.4962
Info:Quadratic Characters: Total cpu/real time for characters: 23.31/8.94991
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): 20116/35.760/42.984/47.310/1.020
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16100/34.400/38.061/43.480/0.849
Info:Polynomial Selection (size optimized): Total time: 2252.3
Info:Square Root: Total cpu/real time for sqrt: 223.52/65.7955
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 184.27/175.45
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 144.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 78233.6/21379.4
Info:root: Cleaning up computation data in /tmp/cado.0i4544uv
724738322501904905847576205520666701076436439832276515566199484350411 2467315441062226640410603418754909272105457712109171
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 21:02:41 UTC 2022 年 5 月 8 日 (日) 6 時 2 分 41 秒 (日本時間)

73×10216+629

c182

composite cofactor 合成数の残り
75064413836786627237075756301491760925988102424389417431432757738988419216856517426984453677356918596191159140650557924293856184100272197266039777562698308354630685749773278206643779<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:57:18 UTC 2022 年 6 月 10 日 (金) 7 時 57 分 18 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 06:27:01 UTC 2023 年 10 月 10 日 (火) 15 時 27 分 1 秒 (日本時間)

73×10218+629

c217

composite cofactor 合成数の残り
9891598915989159891598915989159891598915989159891598915989159891598915989159891598915989159891598915989159891598915989159891598915989159891598915989159891598915989159891598915989159891598915989159891598915989159891599<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:13:03 UTC 2023 年 7 月 12 日 (水) 2 時 13 分 3 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 06:40:22 UTC 2023 年 10 月 10 日 (火) 15 時 40 分 22 秒 (日本時間)

73×10220+629

c200

composite cofactor 合成数の残り
10046314704382169163773901450343864992044854186534562182876707591974093897098743951068673105449249153773452519612969186068564144820022672996281902810811684026895681517501063404981643038568245300857467<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:57:29 UTC 2022 年 6 月 10 日 (金) 7 時 57 分 29 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 06:46:54 UTC 2023 年 10 月 10 日 (火) 15 時 46 分 54 秒 (日本時間)

73×10222+629

c173

composite cofactor 合成数の残り
22619344526736854962795141327044043424446393952218655577477461312423652887579191355722979102179491247550377074417026870180202994695881507417059996333019519659417983144530737<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 08:27:01 UTC 2022 年 5 月 18 日 (水) 17 時 27 分 1 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 07:00:06 UTC 2023 年 10 月 10 日 (火) 16 時 0 分 6 秒 (日本時間)

73×10223+629

c194

composite cofactor 合成数の残り
43618777215477569721547318735166991821331661933529836882019479437981132837447186520588993079597703008574952410157656786495497794372185245955692175889501945438157489964063157180016525069326376053<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:57:37 UTC 2022 年 6 月 10 日 (金) 7 時 57 分 37 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 07:06:20 UTC 2023 年 10 月 10 日 (火) 16 時 6 分 20 秒 (日本時間)

73×10225+629

c203

composite cofactor 合成数の残り
11765850818321510417703036639481865477279430758999913935208914792999057454379549466035262534329227196508928654898226503645203658391819383852790559707095423299452344700027280872592700626500025746314157269<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:12:24 UTC 2023 年 7 月 12 日 (水) 2 時 12 分 24 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 07:19:05 UTC 2023 年 10 月 10 日 (火) 16 時 19 分 5 秒 (日本時間)

73×10226+629

c176

composite cofactor 合成数の残り
90381141280496587885447712941569703731144735558767378757035803855610910571100604814892880696195783785212522953259844672740590497308825261260000681487302804018047246634201756083<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 08:27:14 UTC 2022 年 5 月 18 日 (水) 17 時 27 分 14 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 07:51:51 UTC 2023 年 10 月 10 日 (火) 16 時 51 分 51 秒 (日本時間)

73×10227+629

c223

composite cofactor 合成数の残り
7711501122921327899365966715893509451342540654400098031137562616332748104344004783243436244900373743711957474768602147811518236115600683682674897901837872555295688531413275190727606540198048250756889117064812526013111664649<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:12:32 UTC 2023 年 7 月 12 日 (水) 2 時 12 分 32 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 07:52:06 UTC 2023 年 10 月 10 日 (火) 16 時 52 分 6 秒 (日本時間)

73×10228+629

c213

composite cofactor 合成数の残り
676255099695099192673862681451464119279624065122283827414258210624824608269586107431546556869851825370187362159781362826383204947228587312710471056872071662640891688928193123002129177179031402771560125752966686711<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:12:40 UTC 2023 年 7 月 12 日 (水) 2 時 12 分 40 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 08:11:50 UTC 2023 年 10 月 10 日 (火) 17 時 11 分 50 秒 (日本時間)

73×10230+629

c196

composite cofactor 合成数の残り
1109461354458462611693343000068194989260868520997598461792101806649114913146288877549953327404576353955489132806932133951727814706563657601987299070049185012186215131364483435923739113640139323649<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:57:46 UTC 2022 年 6 月 10 日 (金) 7 時 57 分 46 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 08:34:13 UTC 2023 年 10 月 10 日 (火) 17 時 34 分 13 秒 (日本時間)

73×10232+629

c221

composite cofactor 合成数の残り
21256080192088656546568848979864281833891500155338854393388855591796555815976059096519538918649783070482456401906399911322041746668304918230623499316498105324309249608556854672450526065003085029624463945966118023947250739<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:12:48 UTC 2023 年 7 月 12 日 (水) 2 時 12 分 48 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 08:34:24 UTC 2023 年 10 月 10 日 (火) 17 時 34 分 24 秒 (日本時間)

73×10234+629

c228

composite cofactor 合成数の残り
707997134105189869216635698096133635409524260646836656196649870065068428116983084163925505433819812712063326522400903241406791469297917648527760693709945910764700721561583307375054847956063676369971059986735043284132187836644151<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:11:44 UTC 2023 年 7 月 12 日 (水) 2 時 11 分 44 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 08:55:18 UTC 2023 年 10 月 10 日 (火) 17 時 55 分 18 秒 (日本時間)

73×10235+629

c207

composite cofactor 合成数の残り
635055983081437815995126909666949287342903802239380107621074365839865687833292408710224084488641288092959090585675834896698108957557578770205834537507694385054589492964858785315428134594395100714988210295499<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:11:36 UTC 2023 年 7 月 12 日 (水) 2 時 11 分 36 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 08:55:29 UTC 2023 年 10 月 10 日 (火) 17 時 55 分 29 秒 (日本時間)

73×10236+629

c182

composite cofactor 合成数の残り
21512823150870427134242155645017149586671189688279763116798510266996784763341848842527237582229452063020177868713708986518874998783524477792097530614352804522702532406788285766838867<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:57:53 UTC 2022 年 6 月 10 日 (金) 7 時 57 分 53 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 09:13:30 UTC 2023 年 10 月 10 日 (火) 18 時 13 分 30 秒 (日本時間)

73×10237+629

c233

composite cofactor 合成数の残り
71995092498900348929640083711554127488515303395209663516634811303821262813647113588531280388339556470780841021028484414541825203805285820517220634385250671132334869886129405754478982364161040200876170413370179040946469183141708039189<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:11:27 UTC 2023 年 7 月 12 日 (水) 2 時 11 分 27 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 09:28:19 UTC 2023 年 10 月 10 日 (火) 18 時 28 分 19 秒 (日本時間)

73×10238+629

c172

composite cofactor 合成数の残り
1115258879478025074998783184900839510720406990709799252371696590337398621107031390394367474938458844880738073568429841494800508383539204051810409423236437460517217793161927<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 08:27:23 UTC 2022 年 5 月 18 日 (水) 17 時 27 分 23 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 09:33:20 UTC 2023 年 10 月 10 日 (火) 18 時 33 分 20 秒 (日本時間)

73×10241+629

c241

composite cofactor 合成数の残り
3686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:11:17 UTC 2023 年 7 月 12 日 (水) 2 時 11 分 17 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 09:43:35 UTC 2023 年 10 月 10 日 (火) 18 時 43 分 35 秒 (日本時間)

73×10242+629

c165

composite cofactor 合成数の残り
150645201392106742334473402409477486587588393332456293109232117417757574572423345578006756681254849142408409268202029110577639841520483373129072891548597727221549947<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 16:02:44 UTC 2022 年 5 月 8 日 (日) 1 時 2 分 44 秒 (日本時間)
4511e64480Ignacio SantosMay 12, 2022 19:10:26 UTC 2022 年 5 月 13 日 (金) 4 時 10 分 26 秒 (日本時間)

73×10244+629

c208

composite cofactor 合成数の残り
1801287673938836098454394336863514902099153549280581471307712622377323141864786256132178471607599469306928105830726913423960121662175698938727915594842914288781324672278957475970285971793175938548738855287131<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:11:08 UTC 2023 年 7 月 12 日 (水) 2 時 11 分 8 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 10:05:18 UTC 2023 年 10 月 10 日 (火) 19 時 5 分 18 秒 (日本時間)

73×10245+629

c206

composite cofactor 合成数の残り
22976585532670090503835166665516187448515440793469600818129996888809020227498553771686976822851625396546642875657278160490145145308364093662828290739277776692020084243205347065250467589830309471331533819091<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:11:00 UTC 2023 年 7 月 12 日 (水) 2 時 11 分 0 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 10:13:15 UTC 2023 年 10 月 10 日 (火) 19 時 13 分 15 秒 (日本時間)

73×10246+629

c212

composite cofactor 合成数の残り
25505225372920419239317510262131757280905585739975604248234507490837411545032837439472847389926765939779759374818503557055422115624573804550871564916858303313811659518928442193078874340024967715938678208064054621<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:10:52 UTC 2023 年 7 月 12 日 (水) 2 時 10 分 52 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 10:18:36 UTC 2023 年 10 月 10 日 (火) 19 時 18 分 36 秒 (日本時間)

73×10249+629

c205

composite cofactor 合成数の残り
2649767070171208981056374487714071632629044488723028518151496182653735076176590778958215455639456021597701988632973412569031879945685885363208902683418048422239828636018839386856040477311428925775768740719<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 11, 2023 17:10:43 UTC 2023 年 7 月 12 日 (水) 2 時 10 分 43 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 13:02:25 UTC 2023 年 10 月 10 日 (火) 22 時 2 分 25 秒 (日本時間)

73×10250+629

c194

composite cofactor 合成数の残り
20334866190076293502634349380770865634498656805295015087635263694871234553937848700974065764239957215070470013926538405516474112249341591736684758913038801253502871396034776000970453894325315331<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:58:02 UTC 2022 年 6 月 10 日 (金) 7 時 58 分 2 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 13:02:35 UTC 2023 年 10 月 10 日 (火) 22 時 2 分 35 秒 (日本時間)

73×10251+629

c210

composite cofactor 合成数の残り
538627051775806660910947445461243598906011129569673851713614042545424411026866400689021711115940319219090533955522111299692987020600632190105839120008325333640320747514821232069324121769224641175748162165919009<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:07:25 UTC 2023 年 7 月 11 日 (火) 1 時 7 分 25 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 13:52:13 UTC 2023 年 10 月 10 日 (火) 22 時 52 分 13 秒 (日本時間)

73×10252+629

c216

composite cofactor 合成数の残り
120904193626078671263104850456210008980043146277687373561049586787663308638521884890562391340150335887664276234544504927312425395035260916155286305330177432829240465561038057767819464715978018235953389427349150641381<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:07:17 UTC 2023 年 7 月 11 日 (火) 1 時 7 分 17 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 13:52:26 UTC 2023 年 10 月 10 日 (火) 22 時 52 分 26 秒 (日本時間)

73×10253+629

c223

name 名前Dmitry Domanov
date 日付July 11, 2023 21:12:19 UTC 2023 年 7 月 12 日 (水) 6 時 12 分 19 秒 (日本時間)
composite number 合成数
6453931095720515923535490982875462206596668357435161701256645675376108833123399934534230598605031673811331470257304217148204070964721085598090998432242503801110705262048183624209471974026931692440131317431665806655022804293<223>
prime factors 素因数
69906043715670985629931462423957582297<38>
composite cofactor 合成数の残り
92322934508647133517260943676177745897437265390989436485865155823529637805808061906331419624450880414099646140405844291051843886053661344606627729454930997276680140005878910505861531469<185>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1125180a0137 with GMP-ECM 7.0.5-dev on Mon Jul 10 22:55:47 2023 
Input number is 6453931095720515923535490982875462206596668357435161701256645675376108833123399934534230598605031673811331470257304217148204070964721085598090998432242503801110705262048183624209471974026931692440131317431665806655022804293 (223 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2631354236
Step 1 took 0ms
Step 2 took 5591ms
********** Factor found in step 2: 69906043715670985629931462423957582297
Found prime factor of 38 digits: 69906043715670985629931462423957582297
Composite cofactor 92322934508647133517260943676177745897437265390989436485865155823529637805808061906331419624450880414099646140405844291051843886053661344606627729454930997276680140005878910505861531469 has 185 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:07:08 UTC 2023 年 7 月 11 日 (火) 1 時 7 分 8 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 13:52:37 UTC 2023 年 10 月 10 日 (火) 22 時 52 分 37 秒 (日本時間)

73×10255+629

c243

composite cofactor 合成数の残り
558279553206435853609527936255432403474408109098960293703848896773786162583708508260441040154124340385532543192881178511487970528117858899452965391029684365204821183336401379411215975717234115736415553680533269214259379615919034279728544206897<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:07:00 UTC 2023 年 7 月 11 日 (火) 1 時 7 分 0 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 13:52:48 UTC 2023 年 10 月 10 日 (火) 22 時 52 分 48 秒 (日本時間)

73×10257+629

c203

composite cofactor 合成数の残り
36779626665856247126291614779769616885519539186228241683073472570223569267153000622637108989020550052523379714908976913647171487606463179538972495312107785086207006398824778007545873498600197308287063009<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:06:51 UTC 2023 年 7 月 11 日 (火) 1 時 6 分 51 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 14:17:31 UTC 2023 年 10 月 10 日 (火) 23 時 17 分 31 秒 (日本時間)

73×10258+629

c232

composite cofactor 合成数の残り
1254513798318576999180651333349489146609028006816760215707542308960064873350956594578004237066242948757699670656022712119637154095783737699994035232304774089805043334123129106377731154777668054279099798122542263219069256514308329973<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:06:42 UTC 2023 年 7 月 11 日 (火) 1 時 6 分 42 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 14:17:52 UTC 2023 年 10 月 10 日 (火) 23 時 17 分 52 秒 (日本時間)

73×10260+629

c220

composite cofactor 合成数の残り
1078784868392627014219363557412056890681357874943827878215902849541536420061723519160236857240580762528528290254691308909169370137600128123955110561818865980509671357591642219834298273604862295882230124819562610598784091<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:05:44 UTC 2023 年 7 月 11 日 (火) 1 時 5 分 44 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 14:33:03 UTC 2023 年 10 月 10 日 (火) 23 時 33 分 3 秒 (日本時間)

73×10263+629

c214

name 名前Dmitry Domanov
date 日付July 11, 2023 08:26:47 UTC 2023 年 7 月 11 日 (火) 17 時 26 分 47 秒 (日本時間)
composite number 合成数
7818749785985576630057528556855911138045305526892918549151769653919968076549240107356731324421160200183451297727202399915593154256975571414275323491364768859851509875693636448559971084075656435598270422900511180939<214>
prime factors 素因数
702085522587332447439490715067021633847859<42>
composite cofactor 合成数の残り
11136463485490832091683093912062481388327900673775281551979989224802582699407645392918501171331502554711567098387616882677796570529575473434405084447958865083439569643010121<173>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1125180a0137 with GMP-ECM 7.0.5-dev on Mon Jul 10 22:38:04 2023 
Input number is 7818749785985576630057528556855911138045305526892918549151769653919968076549240107356731324421160200183451297727202399915593154256975571414275323491364768859851509875693636448559971084075656435598270422900511180939 (214 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1266311332
Step 1 took 0ms
Step 2 took 5630ms
********** Factor found in step 2: 702085522587332447439490715067021633847859
Found prime factor of 42 digits: 702085522587332447439490715067021633847859
Composite cofactor 11136463485490832091683093912062481388327900673775281551979989224802582699407645392918501171331502554711567098387616882677796570529575473434405084447958865083439569643010121 has 173 digits

c173

name 名前Ignacio Santos
date 日付July 15, 2023 08:51:37 UTC 2023 年 7 月 15 日 (土) 17 時 51 分 37 秒 (日本時間)
composite number 合成数
11136463485490832091683093912062481388327900673775281551979989224802582699407645392918501171331502554711567098387616882677796570529575473434405084447958865083439569643010121<173>
prime factors 素因数
305229201888476645044279984013034513610861679<45>
composite cofactor 合成数の残り
36485576794712538754152368872349440202663867438748413494459937358847688385746640274315967209613030721918428588886967117259584199<128>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1712786214
Step 1 took 15922ms
********** Factor found in step 2: 305229201888476645044279984013034513610861679
Found prime factor of 45 digits: 305229201888476645044279984013034513610861679
Composite cofactor 36485576794712538754152368872349440202663867438748413494459937358847688385746640274315967209613030721918428588886967117259584199 has 128 digits
 
software ソフトウェア
GMP-ECM

c128

name 名前Eric Jeancolas
date 日付July 21, 2023 03:15:08 UTC 2023 年 7 月 21 日 (金) 12 時 15 分 8 秒 (日本時間)
composite number 合成数
36485576794712538754152368872349440202663867438748413494459937358847688385746640274315967209613030721918428588886967117259584199<128>
prime factors 素因数
13288969658562308099317348762474870915280931736426649<53>
2745553472703150015676144920192716269006579725961181530813011159508222009951<76>
factorization results 素因数分解の結果
36485576794712538754152368872349440202663867438748413494459937358847688385746640274315967209613030721918428588886967117259584199=13288969658562308099317348762474870915280931736426649*2745553472703150015676144920192716269006579725961181530813011159508222009951

cado polynomial
n: 36485576794712538754152368872349440202663867438748413494459937358847688385746640274315967209613030721918428588886967117259584199
skew: 22394.593
c0: -1350471705858662449187533296
c1: -230002646964111169425097
c2: 29379963116347113861
c3: 1277595976339942
c4: -33322670220
c5: -64080
Y0: -5840641738659013262383255
Y1: 59068039770597913
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.841e-07
# f(x) = -64080*x^5-33322670220*x^4+1277595976339942*x^3+29379963116347113861*x^2-230002646964111169425097*x-1350471705858662449187533296
# g(x) = 59068039770597913*x-5840641738659013262383255

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

cado log (extracts)
Info:Square Root: Factors: 13288969658562308099317348762474870915280931736426649 2745553472703150015676144920192716269006579725961181530813011159508222009951
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2415.33/696.738
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 56828/14972
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36479.1, WCT time 9401.71, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54784 iterations)
Info:Linear Algebra: Lingen CPU time 259.01, WCT time 264.02
Info:Linear Algebra: Mksol: CPU time 19688.3,  WCT time 5115.75, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27392 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4747.21
Info:Polynomial Selection (root optimized): Rootsieve time: 4744.69
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 40925.7
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28486/38.010/45.515/49.730/0.842
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22445/37.210/40.702/46.270/0.831
Info:Polynomial Selection (size optimized): Total time: 4647.42
Info:Generate Factor Base: Total cpu/real time for makefb: 38.37/10.2282
Info:Filtering - Merging: Merged matrix has 1747525 rows and total weight 298801349 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 485.68/146.778
Info:Filtering - Merging: Total cpu/real time for replay: 68.32/62.1723
Info:Square Root: Total cpu/real time for sqrt: 2415.33/696.738
Info:Generate Free Relations: Total cpu/real time for freerel: 248.57/64.3291
Info:Quadratic Characters: Total cpu/real time for characters: 69.23/29.2257
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.02/100.82
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 103.72/106.58
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 247.73/216.599
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 191.5s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23077949
Info:Lattice Sieving: Average J: 7616.82 for 51541 special-q, max bucket fill -bkmult 1.0,1s:1.074090
Info:Lattice Sieving: Total time: 73247.7s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 207917/56521.4
Info:root: Cleaning up computation data in /tmp/cado.42jv4fu_
13288969658562308099317348762474870915280931736426649 2745553472703150015676144920192716269006579725961181530813011159508222009951
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:05:26 UTC 2023 年 7 月 11 日 (火) 1 時 5 分 26 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 08:04:59 UTC 2023 年 7 月 15 日 (土) 17 時 4 分 59 秒 (日本時間)
4511e64480Ignacio SantosJuly 19, 2023 08:48:45 UTC 2023 年 7 月 19 日 (水) 17 時 48 分 45 秒 (日本時間)

73×10264+629

c228

composite cofactor 合成数の残り
122907422398870977089474003623490565565344486005380288375427350411157581262828514746147559337590646692661549439995510486205451111002153282878153962528708406946242442379029949649392847835876236106703646602306068506885823196794999<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:05:11 UTC 2023 年 7 月 11 日 (火) 1 時 5 分 11 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 14:42:09 UTC 2023 年 10 月 10 日 (火) 23 時 42 分 9 秒 (日本時間)

73×10265+629

c184

composite cofactor 合成数の残り
8755199922766656775335450791483893706413908753492735598129243679860781502511948899082962046895405167153230115240215705110737734561796478365895453175364446542945200288445424560878224697<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:58:10 UTC 2022 年 6 月 10 日 (金) 7 時 58 分 10 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 14:52:28 UTC 2023 年 10 月 10 日 (火) 23 時 52 分 28 秒 (日本時間)

73×10269+629

c218

composite cofactor 合成数の残り
19907801302896015883204713956427459618566536551278579902330333757394283613559565831921308967052322760692871683294999739319880328876161753881346906022459003465077426111518607979907037767523103581523307190017889998542879<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:04:29 UTC 2023 年 7 月 11 日 (火) 1 時 4 分 29 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 15:18:57 UTC 2023 年 10 月 11 日 (水) 0 時 18 分 57 秒 (日本時間)

73×10270+629

c244

name 名前Ignacio Santos
date 日付October 10, 2023 15:19:22 UTC 2023 年 10 月 11 日 (水) 0 時 19 分 22 秒 (日本時間)
composite number 合成数
1970803292254022894806800195251456270773068834402487412216874981120016070979995811385895116887664731193263056936879196378291008584822102128946200065879486301189829860720627654096798872174371554337797066221436953146219338128872830543984222404719<244>
prime factors 素因数
116821306094002173057885548737457316922843<42>
composite cofactor 合成数の残り
16870238470610693382974637939863952736661451649026912414742737671559812324774058243795588703884155310342143249619633328659402304390025396843923719952624972960494751104328371164219000018115459732078286333<203>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3291775254
Step 1 took 8953ms
********** Factor found in step 2: 116821306094002173057885548737457316922843
Found prime factor of 42 digits: 116821306094002173057885548737457316922843
Composite cofactor 16870238470610693382974637939863952736661451649026912414742737671559812324774058243795588703884155310342143249619633328659402304390025396843923719952624972960494751104328371164219000018115459732078286333 has 203 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:04:50 UTC 2023 年 7 月 11 日 (火) 1 時 4 分 50 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 15:21:24 UTC 2023 年 10 月 12 日 (木) 0 時 21 分 24 秒 (日本時間)

73×10271+629

c244

composite cofactor 合成数の残り
5435858860204397632182202796392937773092495260293880310700161340381228610829607700393850988072991211674405143374329315193012891071456577686888070064094742040288909745841479887160302127498553277889845917104457938425180897791376895666660635573577<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:04:42 UTC 2023 年 7 月 11 日 (火) 1 時 4 分 42 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 15:19:58 UTC 2023 年 10 月 11 日 (水) 0 時 19 分 58 秒 (日本時間)

73×10272+629

c226

composite cofactor 合成数の残り
2334962971751840551326007499733418933132832646021360956655423273823408682615165379599545675018076851888443159952276012735839292320706175941881597754115636256397237198088378716164485455768760158008706444491222057348308837684053<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:04:14 UTC 2023 年 7 月 11 日 (火) 1 時 4 分 14 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 15:48:30 UTC 2023 年 10 月 11 日 (水) 0 時 48 分 30 秒 (日本時間)

73×10273+629

c265

composite cofactor 合成数の残り
9728740768400217097409982621081253523065229524179781786855379523906670712106303292431023076690114075378727530609269872422525759947051512281163467656929654869368251565510116123100076914065156672970040419300933463800917929933860067455714081015106812387306881427195801<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 9, 2022 22:59:50 UTC 2022 年 6 月 10 日 (金) 7 時 59 分 50 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 16:04:29 UTC 2023 年 10 月 11 日 (水) 1 時 4 分 29 秒 (日本時間)

73×10274+629

c260

composite cofactor 合成数の残り
91888003970805899815502157231678375639542037384617354834780796826636953050582018405848313152263309825033916087909438472599386899221963536196513804454254730046231399310112312872244988928158203252753402483577318601129292469744214553714135254283729233519349150041<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 9, 2022 22:59:42 UTC 2022 年 6 月 10 日 (金) 7 時 59 分 42 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 16:14:32 UTC 2023 年 10 月 11 日 (水) 1 時 14 分 32 秒 (日本時間)

73×10275+629

c198

composite cofactor 合成数の残り
117848728401934070049257959732233813466551364941016604418388844898570963877463838186508140512249429606102088863735340822795658505506214159822266892221927453470687670593542436860538176323389211913647<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 22:58:18 UTC 2022 年 6 月 10 日 (金) 7 時 58 分 18 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 16:16:57 UTC 2023 年 10 月 11 日 (水) 1 時 16 分 57 秒 (日本時間)

73×10279+629

c211

composite cofactor 合成数の残り
3318930664390101363652194998003813810512420476005745759984127362807078027676868027672863487142068602089431211129807159745804052712692962619236747690599008077648991111812164491858155706455432521773343425537541479<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:03:48 UTC 2023 年 7 月 11 日 (火) 1 時 3 分 48 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 06:15:10 UTC 2023 年 10 月 11 日 (水) 15 時 15 分 10 秒 (日本時間)

73×10280+629

c245

composite cofactor 合成数の残り
31341279617288382757347191573969326027735959772587971101803625798578786532943062372084502713371616285561451262801678593269947610015523148525890194728631288134762627405418950152662242894009556149554206339253695910069165503167901279528028141911231<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:03:35 UTC 2023 年 7 月 11 日 (火) 1 時 3 分 35 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 06:40:32 UTC 2023 年 10 月 11 日 (水) 15 時 40 分 32 秒 (日本時間)

73×10282+629

c275

composite cofactor 合成数の残り
28547756324952315098796553845941491758220122884356770671328482425058348270321126116414075844957879987239356276626986044041383913165521534427855405814439475953827134229891341537697269600997622227654742931314106885598142871623329440146751798391133392877383132577572233619385997<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 21:30:15 UTC 2022 年 5 月 25 日 (水) 6 時 30 分 15 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 06:53:34 UTC 2023 年 10 月 11 日 (水) 15 時 53 分 34 秒 (日本時間)

73×10283+629

c245

composite cofactor 合成数の残り
90605664528761179490349376042190732227448370677673912485310834651747721644211739549911034067692106614552565212668964522648092748887816566496963884992397607017304483667878694352804168284528258796202762434909778265294248379061338612607708562313203<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:03:15 UTC 2023 年 7 月 11 日 (火) 1 時 3 分 15 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 07:01:44 UTC 2023 年 10 月 11 日 (水) 16 時 1 分 44 秒 (日本時間)

73×10284+629

c234

composite cofactor 合成数の残り
375397813114254706908305985859075079448423260271707152433302051557776196617257799850480862411635467770034338857510065824392344175093100253776046166104486517496895039005750218298524341170387282407155439653983087260431265570386395093157<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:02:41 UTC 2023 年 7 月 11 日 (火) 1 時 2 分 41 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 10:34:03 UTC 2023 年 10 月 10 日 (火) 19 時 34 分 3 秒 (日本時間)

73×10285+629

c149

name 名前Bob Backstrom
date 日付July 13, 2024 02:34:20 UTC 2024 年 7 月 13 日 (土) 11 時 34 分 20 秒 (日本時間)
composite number 合成数
25943958003444951978091065485810024391993110860579980869181158016739393080830127666487699680019887320922909862319776345564364313504773814292186844261<149>
prime factors 素因数
1094744834816343625054537035076506394596337329437329561934489<61>
23698634767066388881905064732864620525304093450904615192361341106674629936960734198008749<89>
factorization results 素因数分解の結果
CADO:

STA:Thu Jul 11 07:02:22 AM AEST 2024 (25943958003444951978091065485810024391993110860579980869181158016739393080830127666487699680019887320922909862319776345564364313504773814292186844261 - C149)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 25943958003444951978091065485810024391993110860579980869181158016739393080830127666487699680019887320922909862319776345564364313504773814292186844261 2>&1 | tee -a log-53 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c150
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.edvmbwl2
Info:Database: Opened connection to database /tmp/cado.edvmbwl2/c150.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 25943958003444951978091065485810024391993110860579980869181158016739393080830127666487699680019887320922909862319776345564364313504773814292186844261
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado.edvmbwl2/c150.parameters_snapshot.0
Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,VM9
Info:Lattice Sieving: param rels_wanted is 163000000
Info:Complete Factorization / Discrete logarithm: Factoring 25943958003444951978091065485810024391993110860579980869181158016739393080830127666487699680019887320922909862319776345564364313504773814292186844261
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 25943958003444951978091065485810024391993110860579980869181158016739393080830127666487699680019887320922909862319776345564364313504773814292186844261
skew: 320793.115
c0: 3682972687430978769589164082985382
c1: 548255107099155117843609411
c2: -201905169824783445990064
c3: -289022918169433081
c4: 1525577004480
c5: 456960
Y0: 44252339946664390557527962718
Y1: 46143659967965995339879
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=4.027e+14) = 6.929e-07
# f(x) = 456960*x^5+1525577004480*x^4-289022918169433081*x^3-201905169824783445990064*x^2+548255107099155117843609411*x+3682972687430978769589164082985382
# g(x) = 46143659967965995339879*x+44252339946664390557527962718
Info:Polynomial Selection (root optimized): Best overall polynomial was 8-th in list after size optimization
===
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 1094744834816343625054537035076506394596337329437329561934489 23698634767066388881905064732864620525304093450904615192361341106674629936960734198008749
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3565.18/431.46 
Info:HTTP server: Got notification to stop serving Workunits
Info:Square Root: Total cpu/real time for sqrt: 3565.18/431.46
Info:Generate Free Relations: Total cpu/real time for freerel: 880.17/110.217
Info:Linear Algebra: Total cpu/real time for bwc: 100643/12954
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 62132.41, WCT time 7912.34, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (92000 iterations)
Info:Linear Algebra: Lingen CPU time 120.98, WCT time 122.3
Info:Linear Algebra: Mksol: CPU time 32558.32,  WCT time 4197.44, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (48000 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2077.7/1364.86
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1174.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 11.11/1.96335
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5018.32
Info:Polynomial Selection (root optimized): Rootsieve time: 5017.75
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 161982
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 111724/44.850/55.560/69.410/2.384
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 95278/43.560/48.203/61.750/1.305
Info:Polynomial Selection (size optimized): Total time: 75624.2
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1041.29/826.978
Info:Filtering - Merging: Total cpu/real time for merge: 331.35/51.061
Info:Filtering - Merging: Total cpu/real time for replay: 54.07/47.8495
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 163154079 
Info:Lattice Sieving: Average J: 7658.3 for 661184 special-q, max bucket fill -bkmult 1.0,1s:1.121690
Info:Lattice Sieving: Total time: 1.37628e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 712.13/624.994
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 624.7s
Info:Quadratic Characters: Total cpu/real time for characters: 89.48/24.429
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.50042e+06/180801 [2d 02:13:21]
Info:root: Cleaning up computation data in /tmp/cado.edvmbwl2
1094744834816343625054537035076506394596337329437329561934489 23698634767066388881905064732864620525304093450904615192361341106674629936960734198008749

END:Sat Jul 13 09:15:44 AM AEST 2024 (25943958003444951978091065485810024391993110860579980869181158016739393080830127666487699680019887320922909862319776345564364313504773814292186844261 - C149)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 14:42:18 UTC 2022 年 5 月 7 日 (土) 23 時 42 分 18 秒 (日本時間)
4511e64480Ignacio SantosMay 11, 2022 17:13:09 UTC 2022 年 5 月 12 日 (木) 2 時 13 分 9 秒 (日本時間)
5043e66454Ignacio SantosNovember 4, 2023 15:51:53 UTC 2023 年 11 月 5 日 (日) 0 時 51 分 53 秒 (日本時間)
5511e72500 / 15167Normsn PowellDecember 29, 2023 02:08:57 UTC 2023 年 12 月 29 日 (金) 11 時 8 分 57 秒 (日本時間)

73×10286+629

c258

composite cofactor 合成数の残り
183384278930933645892875385597314194653345644406554320814355628018201962313603475199103427149091471913170834080516254067218710633494025361240332126988146931595722996834629916875767749485910181832286002904126520827583611617896664380902073995367795418674932473<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 9, 2022 22:59:34 UTC 2022 年 6 月 10 日 (金) 7 時 59 分 34 秒 (日本時間)
2350Ignacio SantosOctober 9, 2023 14:51:41 UTC 2023 年 10 月 9 日 (月) 23 時 51 分 41 秒 (日本時間)

73×10288+629

c253

composite cofactor 合成数の残り
6736351892359556825101655186467332600766898390784266506840108512735043730950398716623105727050031881280527083189435916891214560083827231800920095173453297107801688618697580138215290856443163042713656661100178746004128045882816076726683676618652112116399<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 9, 2022 22:59:26 UTC 2022 年 6 月 10 日 (金) 7 時 59 分 26 秒 (日本時間)
2350Ignacio SantosOctober 9, 2023 15:26:17 UTC 2023 年 10 月 10 日 (火) 0 時 26 分 17 秒 (日本時間)

73×10292+629

c282

name 名前Ignacio Santos
date 日付October 9, 2023 15:26:43 UTC 2023 年 10 月 10 日 (火) 0 時 26 分 43 秒 (日本時間)
composite number 合成数
213469320481015422086928543090904423863949568300335267099840356620635553114531255738553094541963420270315394008774679043780720099027359010101264739444199335815416131591384501148857906408445044547360572147448720065770647227484890196616055015554526281200609793011923666625571473141851<282>
prime factors 素因数
375626403881713169160273149398633025309<39>
568302223366167014840849699011088427075845579541125369214629631376473634023722517814213488728904897000449940756175233980050384688934143382656812245587005120526369988315207168711013191088347051475529971593954723683741310774444807620851335777239<243>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1030330461
Step 1 took 14187ms
Step 2 took 5563ms
********** Factor found in step 2: 375626403881713169160273149398633025309
Found prime factor of 39 digits: 375626403881713169160273149398633025309
Prime cofactor 568302223366167014840849699011088427075845579541125369214629631376473634023722517814213488728904897000449940756175233980050384688934143382656812245587005120526369988315207168711013191088347051475529971593954723683741310774444807620851335777239 has 243 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 24, 2022 21:30:06 UTC 2022 年 5 月 25 日 (水) 6 時 30 分 6 秒 (日本時間)

73×10294+629

c288

composite cofactor 合成数の残り
774407746216100539596709238088224476745946288394154787304881338137546824352208450706496430203064774879774258232479454379034995867951216046118887968298420167886083050499468597161216395557123041700499268099813223459937967181363514782584600916818148247654239374271751729204759836744663105367<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 21:29:56 UTC 2022 年 5 月 25 日 (水) 6 時 29 分 56 秒 (日本時間)
2350Ignacio SantosOctober 9, 2023 15:45:31 UTC 2023 年 10 月 10 日 (火) 0 時 45 分 31 秒 (日本時間)

73×10295+629

c275

composite cofactor 合成数の残り
60726900059506135488424298447210014625888845836881391589090371505599067889115795735123126530962917884861730937387009938153842976522708393983438419167885922927853136641247026348182125936315697018369495601378577748845498184575832893881676933849444886324213713497054229240438989<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 21:29:43 UTC 2022 年 5 月 25 日 (水) 6 時 29 分 43 秒 (日本時間)
2350Ignacio SantosOctober 9, 2023 16:04:14 UTC 2023 年 10 月 10 日 (火) 1 時 4 分 14 秒 (日本時間)

73×10296+629

c233

composite cofactor 合成数の残り
10804865740612739050994085017317409785186220185910396623276512207413683122707251385123594161126658165365993789180249369692810167368816009631842101832501673540521802389111044853792065063674614061453427018094811537471006864912485617023<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 10, 2023 16:02:12 UTC 2023 年 7 月 11 日 (火) 1 時 2 分 12 秒 (日本時間)
2350Ignacio SantosOctober 9, 2023 16:17:05 UTC 2023 年 10 月 10 日 (火) 1 時 17 分 5 秒 (日本時間)

73×10297+629

c267

composite cofactor 合成数の残り
338886310289703737308481069947109815397032069308986355388201281848113476960829954857731987138270266884912899322219149539857623924037100744180887081753380881301779608895094844943348421925952583722013031456088487199435666416395391384298124885550215438767838489936482703<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 9, 2022 22:59:18 UTC 2022 年 6 月 10 日 (金) 7 時 59 分 18 秒 (日本時間)
2350Ignacio SantosOctober 9, 2023 16:35:42 UTC 2023 年 10 月 10 日 (火) 1 時 35 分 42 秒 (日本時間)

73×10299+629

c261

composite cofactor 合成数の残り
204819484232430955085424789201546736824664292051407059997447109480490546195066515353743202300039004135638852101493940267820474012734609967580810893215747727938285486027495948543631900406050907545297075474621895981354166561516506461467727248208250885525076718719<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 9, 2022 22:59:07 UTC 2022 年 6 月 10 日 (金) 7 時 59 分 7 秒 (日本時間)
2350Ignacio SantosOctober 10, 2023 06:01:13 UTC 2023 年 10 月 10 日 (火) 15 時 1 分 13 秒 (日本時間)

73×10300+629

c295

composite cofactor 合成数の残り
7945573042346856698651407683434438029210538746859049670280487435872150722949187733863792850856369508765490874237252198801285136575693120635785163024655439680801296891670057140642955770586707644054871909743514725323716795395834299319097043310774436501048271424258117491297420649303521543278447927<295>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMay 7, 2022 19:09:24 UTC 2022 年 5 月 8 日 (日) 4 時 9 分 24 秒 (日本時間)
4511e63584Dmitry DomanovMay 13, 2022 09:33:04 UTC 2022 年 5 月 13 日 (金) 18 時 33 分 4 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovMay 13, 2022 09:33:04 UTC 2022 年 5 月 13 日 (金) 18 時 33 分 4 秒 (日本時間)