Table of contents 目次

16×10110-439

c91

name 名前Sinkiti Sibata
date 日付April 16, 2008 09:43:04 UTC 2008 年 4 月 16 日 (水) 18 時 43 分 4 秒 (日本時間)
composite number 合成数
1187471745638173122414222944023909080821371944500674767638801121464815734387399444709737113<91>
prime factors 素因数
644318852795425173737822057861<30>
1842987738890828356532876930775288642859248655760493846825733<61>
factorization results 素因数分解の結果
Wed Apr 16 15:55:31 2008  Msieve v. 1.33
Wed Apr 16 15:55:31 2008  random seeds: c0087b2b 2066460a
Wed Apr 16 15:55:31 2008  factoring 1187471745638173122414222944023909080821371944500674767638801121464815734387399444709737113 (91 digits)
Wed Apr 16 15:55:32 2008  searching for 15-digit factors
Wed Apr 16 15:55:34 2008  commencing quadratic sieve (91-digit input)
Wed Apr 16 15:55:34 2008  using multiplier of 23
Wed Apr 16 15:55:34 2008  using 64kb Pentium 4 sieve core
Wed Apr 16 15:55:34 2008  sieve interval: 18 blocks of size 65536
Wed Apr 16 15:55:34 2008  processing polynomials in batches of 6
Wed Apr 16 15:55:34 2008  using a sieve bound of 1652509 (62297 primes)
Wed Apr 16 15:55:34 2008  using large prime bound of 145420792 (27 bits)
Wed Apr 16 15:55:34 2008  using double large prime bound of 492864656290952 (42-49 bits)
Wed Apr 16 15:55:34 2008  using trial factoring cutoff of 49 bits
Wed Apr 16 15:55:34 2008  polynomial 'A' values have 12 factors
Wed Apr 16 18:22:20 2008  62911 relations (16720 full + 46191 combined from 692900 partial), need 62393
Wed Apr 16 18:22:23 2008  begin with 709620 relations
Wed Apr 16 18:22:23 2008  reduce to 152950 relations in 9 passes
Wed Apr 16 18:22:23 2008  attempting to read 152950 relations
Wed Apr 16 18:22:27 2008  recovered 152950 relations
Wed Apr 16 18:22:27 2008  recovered 131618 polynomials
Wed Apr 16 18:22:28 2008  attempting to build 62911 cycles
Wed Apr 16 18:22:28 2008  found 62911 cycles in 5 passes
Wed Apr 16 18:22:28 2008  distribution of cycle lengths:
Wed Apr 16 18:22:28 2008     length 1 : 16720
Wed Apr 16 18:22:28 2008     length 2 : 12357
Wed Apr 16 18:22:28 2008     length 3 : 11143
Wed Apr 16 18:22:28 2008     length 4 : 8369
Wed Apr 16 18:22:28 2008     length 5 : 5829
Wed Apr 16 18:22:28 2008     length 6 : 3720
Wed Apr 16 18:22:28 2008     length 7 : 2165
Wed Apr 16 18:22:28 2008     length 9+: 2608
Wed Apr 16 18:22:28 2008  largest cycle: 20 relations
Wed Apr 16 18:22:28 2008  matrix is 62297 x 62911 (15.4 MB) with weight 3773523 (59.98/col)
Wed Apr 16 18:22:28 2008  sparse part has weight 3773523 (59.98/col)
Wed Apr 16 18:22:29 2008  filtering completed in 3 passes
Wed Apr 16 18:22:29 2008  matrix is 57938 x 58002 (14.2 MB) with weight 3482288 (60.04/col)
Wed Apr 16 18:22:29 2008  sparse part has weight 3482288 (60.04/col)
Wed Apr 16 18:22:30 2008  saving the first 48 matrix rows for later
Wed Apr 16 18:22:30 2008  matrix is 57890 x 58002 (8.5 MB) with weight 2661136 (45.88/col)
Wed Apr 16 18:22:30 2008  sparse part has weight 1882903 (32.46/col)
Wed Apr 16 18:22:30 2008  matrix includes 64 packed rows
Wed Apr 16 18:22:30 2008  using block size 21845 for processor cache size 512 kB
Wed Apr 16 18:22:30 2008  commencing Lanczos iteration
Wed Apr 16 18:22:30 2008  memory use: 8.5 MB
Wed Apr 16 18:23:03 2008  lanczos halted after 917 iterations (dim = 57890)
Wed Apr 16 18:23:03 2008  recovered 19 nontrivial dependencies
Wed Apr 16 18:23:05 2008  prp30 factor: 644318852795425173737822057861
Wed Apr 16 18:23:05 2008  prp61 factor: 1842987738890828356532876930775288642859248655760493846825733
Wed Apr 16 18:23:05 2008  elapsed time 02:27:34
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10111-439

c101

name 名前Robert Backstrom
date 日付April 16, 2008 07:37:40 UTC 2008 年 4 月 16 日 (水) 16 時 37 分 40 秒 (日本時間)
composite number 合成数
19226161268297874886381163435979431186147422624412897339015610496841133983714092394936499375232048553<101>
prime factors 素因数
2225084121385833837269896643903724031<37>
8640644676536263769574342271241601366043048979121263003270936663<64>
factorization results 素因数分解の結果
Number: n
N=19226161268297874886381163435979431186147422624412897339015610496841133983714092394936499375232048553
  ( 101 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=2225084121385833837269896643903724031 (pp37)
 r2=8640644676536263769574342271241601366043048979121263003270936663 (pp64)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.67 hours.
Scaled time: 1.22 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_7_110_3
n: 19226161268297874886381163435979431186147422624412897339015610496841133983714092394936499375232048553
skew: 1.54
deg: 5
c5: 5
c0: -43
m: 20000000000000000000000
type: snfs
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 10000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 170001)
Primes: RFBsize:41538, AFBsize:41437, largePrimes:3529069 encountered
Relations: rels:2913505, finalFF:95356
Max relations in full relation-set: 48
Initial matrix: 83040 x 95356 with sparse part having weight 7738673.
Pruned matrix : 78525 x 79004 with weight 4764399.
Total sieving time: 0.58 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.02 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,500000,500000,28,28,48,48,2.5,2.5,50000
total time: 0.67 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

16×10112-439

c84

name 名前Sinkiti Sibata
date 日付April 16, 2008 04:49:41 UTC 2008 年 4 月 16 日 (水) 13 時 49 分 41 秒 (日本時間)
composite number 合成数
532973057712759689286185744598002512654979895804101219214304241467155374801502774533<84>
prime factors 素因数
2746131666830462403852624787266510433<37>
194081392436622661770145240283408879646755217701<48>
factorization results 素因数分解の結果
Wed Apr 16 12:58:21 2008  Msieve v. 1.33
Wed Apr 16 12:58:21 2008  random seeds: b6b6c24f 7a2fe73c
Wed Apr 16 12:58:21 2008  factoring 532973057712759689286185744598002512654979895804101219214304241467155374801502774533 (84 digits)
Wed Apr 16 12:58:22 2008  searching for 15-digit factors
Wed Apr 16 12:58:24 2008  commencing quadratic sieve (84-digit input)
Wed Apr 16 12:58:24 2008  using multiplier of 17
Wed Apr 16 12:58:24 2008  using 64kb Pentium 4 sieve core
Wed Apr 16 12:58:24 2008  sieve interval: 6 blocks of size 65536
Wed Apr 16 12:58:24 2008  processing polynomials in batches of 17
Wed Apr 16 12:58:24 2008  using a sieve bound of 1409171 (53610 primes)
Wed Apr 16 12:58:24 2008  using large prime bound of 119779535 (26 bits)
Wed Apr 16 12:58:24 2008  using double large prime bound of 347607157783030 (41-49 bits)
Wed Apr 16 12:58:24 2008  using trial factoring cutoff of 49 bits
Wed Apr 16 12:58:24 2008  polynomial 'A' values have 11 factors
Wed Apr 16 13:43:34 2008  54072 relations (15871 full + 38201 combined from 574707 partial), need 53706
Wed Apr 16 13:43:36 2008  begin with 590578 relations
Wed Apr 16 13:43:37 2008  reduce to 126745 relations in 10 passes
Wed Apr 16 13:43:37 2008  attempting to read 126745 relations
Wed Apr 16 13:43:40 2008  recovered 126745 relations
Wed Apr 16 13:43:40 2008  recovered 103500 polynomials
Wed Apr 16 13:43:40 2008  attempting to build 54072 cycles
Wed Apr 16 13:43:40 2008  found 54072 cycles in 6 passes
Wed Apr 16 13:43:40 2008  distribution of cycle lengths:
Wed Apr 16 13:43:40 2008     length 1 : 15871
Wed Apr 16 13:43:40 2008     length 2 : 11043
Wed Apr 16 13:43:40 2008     length 3 : 9527
Wed Apr 16 13:43:40 2008     length 4 : 6881
Wed Apr 16 13:43:40 2008     length 5 : 4611
Wed Apr 16 13:43:40 2008     length 6 : 2779
Wed Apr 16 13:43:40 2008     length 7 : 1614
Wed Apr 16 13:43:40 2008     length 9+: 1746
Wed Apr 16 13:43:40 2008  largest cycle: 23 relations
Wed Apr 16 13:43:41 2008  matrix is 53610 x 54072 (11.5 MB) with weight 2792115 (51.64/col)
Wed Apr 16 13:43:41 2008  sparse part has weight 2792115 (51.64/col)
Wed Apr 16 13:43:41 2008  filtering completed in 3 passes
Wed Apr 16 13:43:41 2008  matrix is 48794 x 48858 (10.4 MB) with weight 2519161 (51.56/col)
Wed Apr 16 13:43:41 2008  sparse part has weight 2519161 (51.56/col)
Wed Apr 16 13:43:41 2008  saving the first 48 matrix rows for later
Wed Apr 16 13:43:41 2008  matrix is 48746 x 48858 (5.8 MB) with weight 1866562 (38.20/col)
Wed Apr 16 13:43:41 2008  sparse part has weight 1221018 (24.99/col)
Wed Apr 16 13:43:41 2008  matrix includes 64 packed rows
Wed Apr 16 13:43:41 2008  commencing Lanczos iteration
Wed Apr 16 13:43:41 2008  memory use: 7.6 MB
Wed Apr 16 13:45:18 2008  lanczos halted after 773 iterations (dim = 48746)
Wed Apr 16 13:45:18 2008  recovered 18 nontrivial dependencies
Wed Apr 16 13:45:19 2008  prp37 factor: 2746131666830462403852624787266510433
Wed Apr 16 13:45:19 2008  prp48 factor: 194081392436622661770145240283408879646755217701
Wed Apr 16 13:45:19 2008  elapsed time 00:46:58
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10118-439

c102

name 名前Sinkiti Sibata
date 日付April 18, 2008 04:57:04 UTC 2008 年 4 月 18 日 (金) 13 時 57 分 4 秒 (日本時間)
composite number 合成数
768090953794573057816630109157861769746161838397065624797169366829056643479552845083229414945948927507<102>
prime factors 素因数
47350955974127276757526684432655467293045031819<47>
16221234355104901470997952766497166240721117007085516953<56>
factorization results 素因数分解の結果
Number: 17773_118
N=768090953794573057816630109157861769746161838397065624797169366829056643479552845083229414945948927507
  ( 102 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=47350955974127276757526684432655467293045031819 (pp47)
 r2=16221234355104901470997952766497166240721117007085516953 (pp56)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.26 hours.
Scaled time: 1.53 units (timescale=0.677).
Factorization parameters were as follows:
name: 17773_118
n: 768090953794573057816630109157861769746161838397065624797169366829056643479552845083229414945948927507
m: 200000000000000000000000
c5: 500
c0: -43
skew: 0.61
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:64058, largePrimes:2018699 encountered
Relations: rels:2002457, finalFF:151962
Max relations in full relation-set: 28
Initial matrix: 113222 x 151962 with sparse part having weight 11986315.
Pruned matrix : 100073 x 100703 with weight 5851889.
Total sieving time: 1.99 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,119,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.26 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10119-439

c100

name 名前Sinkiti Sibata
date 日付April 17, 2008 03:53:59 UTC 2008 年 4 月 17 日 (木) 12 時 53 分 59 秒 (日本時間)
composite number 合成数
1834993674378103706510951864175520316649357398636129200483879762498449964268488473520406877952571443<100>
prime factors 素因数
1468279725698321121821741190940259<34>
1249757551140585021286231031388970942154095925690579253003177838577<67>
factorization results 素因数分解の結果
Wed Apr 16 18:47:15 2008  Msieve v. 1.33
Wed Apr 16 18:47:15 2008  random seeds: b6b676bf 3e282a6a
Wed Apr 16 18:47:15 2008  factoring 1834993674378103706510951864175520316649357398636129200483879762498449964268488473520406877952571443 (100 digits)
Wed Apr 16 18:47:16 2008  searching for 15-digit factors
Wed Apr 16 18:47:18 2008  commencing quadratic sieve (100-digit input)
Wed Apr 16 18:47:18 2008  using multiplier of 7
Wed Apr 16 18:47:18 2008  using 64kb Pentium 4 sieve core
Wed Apr 16 18:47:18 2008  sieve interval: 18 blocks of size 65536
Wed Apr 16 18:47:18 2008  processing polynomials in batches of 6
Wed Apr 16 18:47:18 2008  using a sieve bound of 2676997 (97647 primes)
Wed Apr 16 18:47:18 2008  using large prime bound of 401549550 (28 bits)
Wed Apr 16 18:47:18 2008  using double large prime bound of 3067117780557750 (43-52 bits)
Wed Apr 16 18:47:18 2008  using trial factoring cutoff of 52 bits
Wed Apr 16 18:47:18 2008  polynomial 'A' values have 13 factors
Thu Apr 17 12:45:34 2008  97796 relations (22955 full + 74841 combined from 1478103 partial), need 97743
Thu Apr 17 12:45:40 2008  begin with 1501058 relations
Thu Apr 17 12:45:42 2008  reduce to 259398 relations in 12 passes
Thu Apr 17 12:45:42 2008  attempting to read 259398 relations
Thu Apr 17 12:45:51 2008  recovered 259398 relations
Thu Apr 17 12:45:51 2008  recovered 250343 polynomials
Thu Apr 17 12:45:51 2008  attempting to build 97796 cycles
Thu Apr 17 12:45:51 2008  found 97796 cycles in 6 passes
Thu Apr 17 12:45:51 2008  distribution of cycle lengths:
Thu Apr 17 12:45:51 2008     length 1 : 22955
Thu Apr 17 12:45:51 2008     length 2 : 16414
Thu Apr 17 12:45:51 2008     length 3 : 16469
Thu Apr 17 12:45:51 2008     length 4 : 13428
Thu Apr 17 12:45:51 2008     length 5 : 10245
Thu Apr 17 12:45:51 2008     length 6 : 7142
Thu Apr 17 12:45:51 2008     length 7 : 4639
Thu Apr 17 12:45:51 2008     length 9+: 6504
Thu Apr 17 12:45:51 2008  largest cycle: 22 relations
Thu Apr 17 12:45:52 2008  matrix is 97647 x 97796 (26.6 MB) with weight 6573420 (67.22/col)
Thu Apr 17 12:45:52 2008  sparse part has weight 6573420 (67.22/col)
Thu Apr 17 12:45:54 2008  filtering completed in 3 passes
Thu Apr 17 12:45:54 2008  matrix is 93857 x 93921 (25.6 MB) with weight 6345777 (67.57/col)
Thu Apr 17 12:45:54 2008  sparse part has weight 6345777 (67.57/col)
Thu Apr 17 12:45:55 2008  saving the first 48 matrix rows for later
Thu Apr 17 12:45:55 2008  matrix is 93809 x 93921 (15.0 MB) with weight 4909957 (52.28/col)
Thu Apr 17 12:45:55 2008  sparse part has weight 3371549 (35.90/col)
Thu Apr 17 12:45:55 2008  matrix includes 64 packed rows
Thu Apr 17 12:45:55 2008  using block size 21845 for processor cache size 512 kB
Thu Apr 17 12:45:56 2008  commencing Lanczos iteration
Thu Apr 17 12:45:56 2008  memory use: 15.1 MB
Thu Apr 17 12:47:24 2008  lanczos halted after 1485 iterations (dim = 93807)
Thu Apr 17 12:47:25 2008  recovered 17 nontrivial dependencies
Thu Apr 17 12:47:26 2008  prp34 factor: 1468279725698321121821741190940259
Thu Apr 17 12:47:26 2008  prp67 factor: 1249757551140585021286231031388970942154095925690579253003177838577
Thu Apr 17 12:47:26 2008  elapsed time 18:00:11
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10120-439

c119

name 名前Sinkiti Sibata
date 日付April 17, 2008 06:44:06 UTC 2008 年 4 月 17 日 (木) 15 時 44 分 6 秒 (日本時間)
composite number 合成数
21947873799725651577503429355281207133058984910836762688614540466392318244170096021947873799725651577503429355281207133<119>
prime factors 素因数
85510357558761421141383126907634041186486316417099<50>
256669185187810792308602187020497433738883870719060728193378032088567<69>
factorization results 素因数分解の結果
Number: 17773_120
N=21947873799725651577503429355281207133058984910836762688614540466392318244170096021947873799725651577503429355281207133
  ( 119 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=85510357558761421141383126907634041186486316417099 (pp50)
 r2=256669185187810792308602187020497433738883870719060728193378032088567 (pp69)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.59 hours.
Scaled time: 1.75 units (timescale=0.677).
Factorization parameters were as follows:
name: 17773_120
n: 21947873799725651577503429355281207133058984910836762688614540466392318244170096021947873799725651577503429355281207133
m: 2000000000000000000000000
c5: 1
c0: -86
skew: 2.44
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:63853, largePrimes:2194643 encountered
Relations: rels:2335783, finalFF:263665
Max relations in full relation-set: 28
Initial matrix: 113015 x 263665 with sparse part having weight 24306850.
Pruned matrix : 84489 x 85118 with weight 5577315.
Total sieving time: 2.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.59 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10125-439

c106

name 名前Sinkiti Sibata
date 日付April 17, 2008 01:53:13 UTC 2008 年 4 月 17 日 (木) 10 時 53 分 13 秒 (日本時間)
composite number 合成数
2734901902818018639322144720567010346065153400121065763221178022074487392487751189852112831885124154884141<106>
prime factors 素因数
1103899759447808710603942658389<31>
85253848617475439469702760423117<32>
29060168036435085334340301632974120249835357<44>
factorization results 素因数分解の結果
Number: 17773_125
N=2734901902818018639322144720567010346065153400121065763221178022074487392487751189852112831885124154884141
  ( 106 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1103899759447808710603942658389 (pp31)
 r2=85253848617475439469702760423117 (pp32)
 r3=29060168036435085334340301632974120249835357 (pp44)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.14 hours.
Scaled time: 6.28 units (timescale=2.000).
Factorization parameters were as follows:
name: 17773_125
n: 2734901902818018639322144720567010346065153400121065763221178022074487392487751189852112831885124154884141
m: 20000000000000000000000000
c5: 1
c0: -86
skew: 2.44
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:63853, largePrimes:2190075 encountered
Relations: rels:2273813, finalFF:198568
Max relations in full relation-set: 28
Initial matrix: 113015 x 198568 with sparse part having weight 19369229.
Pruned matrix : 97297 x 97926 with weight 6884251.
Total sieving time: 2.99 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.14 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

16×10126-439

c114

name 名前Sinkiti Sibata
date 日付April 16, 2008 23:49:58 UTC 2008 年 4 月 17 日 (木) 8 時 49 分 58 秒 (日本時間)
composite number 合成数
139678752528855796515825665771919737666695102874942258747881123820068740828534251491647142474744904176151610104809<114>
prime factors 素因数
3874799090028982983788638177832431<34>
36047998691929861569706472795198049716524625691428470311891766732822101755440039<80>
factorization results 素因数分解の結果
Number: 17773_126
N=139678752528855796515825665771919737666695102874942258747881123820068740828534251491647142474744904176151610104809
  ( 114 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=3874799090028982983788638177832431 (pp34)
 r2=36047998691929861569706472795198049716524625691428470311891766732822101755440039 (pp80)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.68 hours.
Scaled time: 5.34 units (timescale=1.992).
Factorization parameters were as follows:
name: 17773_126
n: 139678752528855796515825665771919737666695102874942258747881123820068740828534251491647142474744904176151610104809
m: 20000000000000000000000000
c5: 5
c0: -43
skew: 1.54
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:63728, largePrimes:2127400 encountered
Relations: rels:2149094, finalFF:154047
Max relations in full relation-set: 28
Initial matrix: 112891 x 154047 with sparse part having weight 14322637.
Pruned matrix : 103876 x 104504 with weight 7465249.
Total sieving time: 2.51 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.68 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

16×10133-439

c107

name 名前Jo Yeong Uk
date 日付April 17, 2008 02:51:05 UTC 2008 年 4 月 17 日 (木) 11 時 51 分 5 秒 (日本時間)
composite number 合成数
32285455613959725746999532746011021932043083571604268600338314952656034453773659817804519379721595428504029<107>
prime factors 素因数
3342143748489434590572597197368580584310674477981<49>
9660103826638798656998936740469404831436423757669777126209<58>
factorization results 素因数分解の結果
Number: 17773_133
N=32285455613959725746999532746011021932043083571604268600338314952656034453773659817804519379721595428504029
  ( 107 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=3342143748489434590572597197368580584310674477981 (pp49)
 r2=9660103826638798656998936740469404831436423757669777126209 (pp58)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.97 hours.
Scaled time: 6.35 units (timescale=2.135).
Factorization parameters were as follows:
n: 32285455613959725746999532746011021932043083571604268600338314952656034453773659817804519379721595428504029
m: 1000000000000000000000000000
c5: 4
c0: -1075
skew: 3.06
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1250001)
Primes: RFBsize:107126, AFBsize:107108, largePrimes:2273625 encountered
Relations: rels:2404790, finalFF:294421
Max relations in full relation-set: 28
Initial matrix: 214298 x 294421 with sparse part having weight 21471334.
Pruned matrix : 181853 x 182988 with weight 10321115.
Total sieving time: 2.83 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 2.97 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407670)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

16×10134-439

c124

name 名前Jo Yeong Uk
date 日付April 17, 2008 07:04:25 UTC 2008 年 4 月 17 日 (木) 16 時 4 分 25 秒 (日本時間)
composite number 合成数
3430453581088659560179837616813547764407849068970136086958872262619484904091371908295926398270918423889605423047490150260269<124>
prime factors 素因数
2863834785747777662736218202774989738378574194792058607181<58>
1197853171614762586665272443737488891329168220783862099262703556449<67>
factorization results 素因数分解の結果
Number: 17773_134
N=3430453581088659560179837616813547764407849068970136086958872262619484904091371908295926398270918423889605423047490150260269
  ( 124 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=2863834785747777662736218202774989738378574194792058607181 (pp58)
 r2=1197853171614762586665272443737488891329168220783862099262703556449 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.41 hours.
Scaled time: 7.33 units (timescale=2.147).
Factorization parameters were as follows:
n: 3430453581088659560179837616813547764407849068970136086958872262619484904091371908295926398270918423889605423047490150260269
m: 2000000000000000000000000000
c5: 1
c0: -860
skew: 3.86
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1350001)
Primes: RFBsize:107126, AFBsize:106968, largePrimes:2335679 encountered
Relations: rels:2477311, finalFF:295035
Max relations in full relation-set: 28
Initial matrix: 214158 x 295035 with sparse part having weight 23189974.
Pruned matrix : 186064 x 187198 with weight 11633275.
Total sieving time: 3.25 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 3.41 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407670)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

16×10138-439

c126

name 名前Jo Yeong Uk
date 日付April 17, 2008 15:25:27 UTC 2008 年 4 月 18 日 (金) 0 時 25 分 27 秒 (日本時間)
composite number 合成数
263203609640323824392458107325806099995043923027122226226760883014902997330558765169460769491743099274902294390038895556442567<126>
prime factors 素因数
11632544748654663205292509039845800240928717050619027960643<59>
22626485891727523197151601650522464210578871505272726012964428807469<68>
factorization results 素因数分解の結果
Number: 17773_138
N=263203609640323824392458107325806099995043923027122226226760883014902997330558765169460769491743099274902294390038895556442567
  ( 126 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=11632544748654663205292509039845800240928717050619027960643 (pp59)
 r2=22626485891727523197151601650522464210578871505272726012964428807469 (pp68)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.90 hours.
Scaled time: 12.67 units (timescale=2.145).
Factorization parameters were as follows:
n: 263203609640323824392458107325806099995043923027122226226760883014902997330558765169460769491743099274902294390038895556442567
m: 10000000000000000000000000000
c5: 4
c0: -1075
skew: 3.06
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1150001)
Primes: RFBsize:114155, AFBsize:114037, largePrimes:3315183 encountered
Relations: rels:3373564, finalFF:357868
Max relations in full relation-set: 28
Initial matrix: 228256 x 357868 with sparse part having weight 30397126.
Pruned matrix : 180827 x 182032 with weight 12710286.
Total sieving time: 5.73 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 5.90 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407670)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

16×10142-439

c113

name 名前Jo Yeong Uk
date 日付April 16, 2008 05:09:49 UTC 2008 年 4 月 16 日 (水) 14 時 9 分 49 秒 (日本時間)
composite number 合成数
55131559519632410963821047717480728801087143226033386404493785936553420939989645647487819890372776086494952725779<113>
prime factors 素因数
5500591316638770792347012316501127<34>
10022842335671191323150316599085734859085649805584448266612992605807362427757077<80>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 55131559519632410963821047717480728801087143226033386404493785936553420939989645647487819890372776086494952725779 (113 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1553857185
Step 1 took 5531ms
Step 2 took 3420ms
********** Factor found in step 2: 5500591316638770792347012316501127
Found probable prime factor of 34 digits: 5500591316638770792347012316501127
Probable prime cofactor 10022842335671191323150316599085734859085649805584448266612992605807362427757077 has 80 digits
execution environment 実行環境
Core 2 Quad Q6600

16×10144-439

c142

name 名前Robert Backstrom
date 日付April 16, 2008 20:40:31 UTC 2008 年 4 月 17 日 (木) 5 時 40 分 31 秒 (日本時間)
composite number 合成数
2610540055473976178821993799967368249306575297764725077500407896883667808777940936531244901288954152390275738293359438733888073095121553271333<142>
prime factors 素因数
122929344325063661695898389182280845929<39>
3221391447437790783926804430055858823974940817522169<52>
6592213962798872415463349088189519733800364363571333<52>
factorization results 素因数分解の結果
Number: n
N=2610540055473976178821993799967368249306575297764725077500407896883667808777940936531244901288954152390275738293359438733888073095121553271333
  ( 142 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=122929344325063661695898389182280845929 (pp39)
 r2=3221391447437790783926804430055858823974940817522169 (pp52)
 r3=6592213962798872415463349088189519733800364363571333 (pp52)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.63 hours.
Scaled time: 12.12 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_7_143_3
n: 2610540055473976178821993799967368249306575297764725077500407896883667808777940936531244901288954152390275738293359438733888073095121553271333
skew: 1.93
deg: 5
c5: 8
c0: -215
m: 100000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:114155, AFBsize:114062, largePrimes:6704802 encountered
Relations: rels:5987168, finalFF:270894
Max relations in full relation-set: 48
Initial matrix: 228282 x 270894 with sparse part having weight 34317305.
Pruned matrix : 216547 x 217752 with weight 22303479.
Total sieving time: 5.95 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.43 hours.
Total square root time: 0.11 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,100000
total time: 6.63 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

16×10145-439

c129

name 名前Robert Backstrom
date 日付April 18, 2008 16:40:46 UTC 2008 年 4 月 19 日 (土) 1 時 40 分 46 秒 (日本時間)
composite number 合成数
342737932940279177877666996901874480937332396368251728885802533313270128140969346250666588135979889005893165891963390853345207907<129>
prime factors 素因数
16622796863443524019743377225276094967799622716440295866198684081<65>
20618547874697345788229642446357994038980128189862291645786008147<65>
factorization results 素因数分解の結果
Number: n
N=342737932940279177877666996901874480937332396368251728885802533313270128140969346250666588135979889005893165891963390853345207907
  ( 129 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=16622796863443524019743377225276094967799622716440295866198684081 (pp65)
 r2=20618547874697345788229642446357994038980128189862291645786008147 (pp65)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.98 hours.
Scaled time: 10.86 units (timescale=1.818).
Factorization parameters were as follows:
name: KA_1_7_144_3
n: 342737932940279177877666996901874480937332396368251728885802533313270128140969346250666588135979889005893165891963390853345207907
skew: 1.22
deg: 5
c5: 16
c0: -43
m: 100000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1200001)
Primes: RFBsize:114155, AFBsize:114182, largePrimes:6568235 encountered
Relations: rels:5836571, finalFF:264019
Max relations in full relation-set: 48
Initial matrix: 228401 x 264019 with sparse part having weight 31268000.
Pruned matrix : 216769 x 217975 with weight 21023686.
Total sieving time: 5.41 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.41 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,100000
total time: 5.98 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

16×10146-439

c127

name 名前Jo Yeong Uk
date 日付April 18, 2008 01:57:08 UTC 2008 年 4 月 18 日 (金) 10 時 57 分 8 秒 (日本時間)
composite number 合成数
1522411752400144126632930397778883985122615881675977475582863474157301360548134270400340874386530077118346961505716336554859319<127>
prime factors 素因数
1056295968541772519047500174110259791732144028688415153<55>
1441273845342654536010084697268847716723542480648916997795263989062923623<73>
factorization results 素因数分解の結果
Number: 17773_146
N=1522411752400144126632930397778883985122615881675977475582863474157301360548134270400340874386530077118346961505716336554859319
  ( 127 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=1056295968541772519047500174110259791732144028688415153 (pp55)
 r2=1441273845342654536010084697268847716723542480648916997795263989062923623 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.88 hours.
Scaled time: 21.20 units (timescale=2.146).
Factorization parameters were as follows:
n: 1522411752400144126632930397778883985122615881675977475582863474157301360548134270400340874386530077118346961505716336554859319
m: 200000000000000000000000000000
c5: 5
c0: -43
skew: 1.54
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1575001)
Primes: RFBsize:135072, AFBsize:134733, largePrimes:3762790 encountered
Relations: rels:3832797, finalFF:363069
Max relations in full relation-set: 28
Initial matrix: 269870 x 363069 with sparse part having weight 33914108.
Pruned matrix : 236804 x 238217 with weight 18742821.
Total sieving time: 9.56 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 9.88 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407670)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

16×10147-439

c89

name 名前Sinkiti Sibata
date 日付April 16, 2008 06:51:32 UTC 2008 年 4 月 16 日 (水) 15 時 51 分 32 秒 (日本時間)
composite number 合成数
31836359306117074203320389250315624977093890041136677461587471134178603659539208101435417<89>
prime factors 素因数
215360073973402846985925692625318647<36>
147828512122673638011891093090638637018899493413484911<54>
factorization results 素因数分解の結果
Wed Apr 16 13:56:32 2008  Msieve v. 1.33
Wed Apr 16 13:56:32 2008  random seeds: 051d1ddb 36376896
Wed Apr 16 13:56:32 2008  factoring 31836359306117074203320389250315624977093890041136677461587471134178603659539208101435417 (89 digits)
Wed Apr 16 13:56:33 2008  searching for 15-digit factors
Wed Apr 16 13:56:35 2008  commencing quadratic sieve (89-digit input)
Wed Apr 16 13:56:35 2008  using multiplier of 1
Wed Apr 16 13:56:35 2008  using 64kb Pentium 4 sieve core
Wed Apr 16 13:56:35 2008  sieve interval: 16 blocks of size 65536
Wed Apr 16 13:56:35 2008  processing polynomials in batches of 7
Wed Apr 16 13:56:35 2008  using a sieve bound of 1553807 (59000 primes)
Wed Apr 16 13:56:35 2008  using large prime bound of 124304560 (26 bits)
Wed Apr 16 13:56:35 2008  using double large prime bound of 371600775237280 (42-49 bits)
Wed Apr 16 13:56:35 2008  using trial factoring cutoff of 49 bits
Wed Apr 16 13:56:35 2008  polynomial 'A' values have 11 factors
Wed Apr 16 15:44:03 2008  59162 relations (15809 full + 43353 combined from 628278 partial), need 59096
Wed Apr 16 15:44:05 2008  begin with 644087 relations
Wed Apr 16 15:44:06 2008  reduce to 144799 relations in 10 passes
Wed Apr 16 15:44:06 2008  attempting to read 144799 relations
Wed Apr 16 15:44:09 2008  recovered 144799 relations
Wed Apr 16 15:44:09 2008  recovered 122538 polynomials
Wed Apr 16 15:44:10 2008  attempting to build 59162 cycles
Wed Apr 16 15:44:10 2008  found 59162 cycles in 6 passes
Wed Apr 16 15:44:10 2008  distribution of cycle lengths:
Wed Apr 16 15:44:10 2008     length 1 : 15809
Wed Apr 16 15:44:10 2008     length 2 : 11122
Wed Apr 16 15:44:10 2008     length 3 : 10318
Wed Apr 16 15:44:10 2008     length 4 : 7943
Wed Apr 16 15:44:10 2008     length 5 : 5657
Wed Apr 16 15:44:10 2008     length 6 : 3567
Wed Apr 16 15:44:10 2008     length 7 : 2188
Wed Apr 16 15:44:10 2008     length 9+: 2558
Wed Apr 16 15:44:10 2008  largest cycle: 20 relations
Wed Apr 16 15:44:10 2008  matrix is 59000 x 59162 (14.3 MB) with weight 3504517 (59.24/col)
Wed Apr 16 15:44:10 2008  sparse part has weight 3504517 (59.24/col)
Wed Apr 16 15:44:11 2008  filtering completed in 3 passes
Wed Apr 16 15:44:11 2008  matrix is 55126 x 55190 (13.4 MB) with weight 3298366 (59.76/col)
Wed Apr 16 15:44:11 2008  sparse part has weight 3298366 (59.76/col)
Wed Apr 16 15:44:11 2008  saving the first 48 matrix rows for later
Wed Apr 16 15:44:11 2008  matrix is 55078 x 55190 (9.4 MB) with weight 2687805 (48.70/col)
Wed Apr 16 15:44:11 2008  sparse part has weight 2138294 (38.74/col)
Wed Apr 16 15:44:11 2008  matrix includes 64 packed rows
Wed Apr 16 15:44:11 2008  using block size 21845 for processor cache size 512 kB
Wed Apr 16 15:44:12 2008  commencing Lanczos iteration
Wed Apr 16 15:44:12 2008  memory use: 8.8 MB
Wed Apr 16 15:44:43 2008  lanczos halted after 872 iterations (dim = 55078)
Wed Apr 16 15:44:43 2008  recovered 17 nontrivial dependencies
Wed Apr 16 15:44:44 2008  prp36 factor: 215360073973402846985925692625318647
Wed Apr 16 15:44:44 2008  prp54 factor: 147828512122673638011891093090638637018899493413484911
Wed Apr 16 15:44:44 2008  elapsed time 01:48:12
execution environment 実行環境
Pentium 4 2.46GHz, Windows XP and Cygwin)

16×10149-439

c116

name 名前Sinkiti Sibata
date 日付April 19, 2008 22:01:19 UTC 2008 年 4 月 20 日 (日) 7 時 1 分 19 秒 (日本時間)
composite number 合成数
34078598179763894284357022031702951463430782892473350643743951375598986101203012608356279387739075999304334885977897<116>
prime factors 素因数
8451328395281915175077609691314123<34>
4032336289143467545190727664762401688975731101155506963337129845941832951058267739<82>
factorization results 素因数分解の結果
Number: 17773_149
N=34078598179763894284357022031702951463430782892473350643743951375598986101203012608356279387739075999304334885977897
  ( 116 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=8451328395281915175077609691314123 (pp34)
 r2=4032336289143467545190727664762401688975731101155506963337129845941832951058267739 (pp82)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 33.88 hours.
Scaled time: 22.94 units (timescale=0.677).
Factorization parameters were as follows:
name: 17773_149
n: 34078598179763894284357022031702951463430782892473350643743951375598986101203012608356279387739075999304334885977897
m: 1000000000000000000000000000000
c5: 8
c0: -215
skew: 1.93
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:175813, largePrimes:5492730 encountered
Relations: rels:5379374, finalFF:457983
Max relations in full relation-set: 28
Initial matrix: 352180 x 457983 with sparse part having weight 40625337.
Pruned matrix : 304476 x 306300 with weight 23877941.
Total sieving time: 30.09 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.43 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 33.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10151-439

c137

name 名前Sinkiti Sibata
date 日付April 21, 2008 09:46:35 UTC 2008 年 4 月 21 日 (月) 18 時 46 分 35 秒 (日本時間)
composite number 合成数
29155487283068471826109014159539684461899607166052702691944454477590659352794774953445901173552777684030303570065790988266341893082660853<137>
prime factors 素因数
2059807738909432649830264775862735198581<40>
14154470212110609361234331264093140155481663019204352112608445144751444243122493047528117504605313<98>
factorization results 素因数分解の結果
Number: 17773_151
N=29155487283068471826109014159539684461899607166052702691944454477590659352794774953445901173552777684030303570065790988266341893082660853
  ( 137 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=2059807738909432649830264775862735198581 (pp40)
 r2=14154470212110609361234331264093140155481663019204352112608445144751444243122493047528117504605313 (pp98)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 34.51 hours.
Scaled time: 23.33 units (timescale=0.676).
Factorization parameters were as follows:
name: 17773_151
n: 29155487283068471826109014159539684461899607166052702691944454477590659352794774953445901173552777684030303570065790988266341893082660853
m: 2000000000000000000000000000000
c5: 5
c0: -43
skew: 1.54
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:175898, largePrimes:5380793 encountered
Relations: rels:5213423, finalFF:415029
Max relations in full relation-set: 28
Initial matrix: 352265 x 415029 with sparse part having weight 35736426.
Pruned matrix : 322290 x 324115 with weight 24241194.
Total sieving time: 30.40 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.76 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 34.51 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10155-439

c130

name 名前Jo Yeong Uk
date 日付April 19, 2008 01:42:35 UTC 2008 年 4 月 19 日 (土) 10 時 42 分 35 秒 (日本時間)
composite number 合成数
7120593797733366076311318086086978160341727352661331057070689454547745192982183077839045352871475585630105847818565550177423069821<130>
prime factors 素因数
88308179609882380758786014994362513<35>
80633456936717508249547250917177803523254243013044383853109355147287095866161662111291070396717<95>
factorization results 素因数分解の結果
Number: 17773_155
N=7120593797733366076311318086086978160341727352661331057070689454547745192982183077839045352871475585630105847818565550177423069821
  ( 130 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=88308179609882380758786014994362513 (pp35)
 r2=80633456936717508249547250917177803523254243013044383853109355147287095866161662111291070396717 (pp95)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.46 hours.
Scaled time: 43.68 units (timescale=2.135).
Factorization parameters were as follows:
n: 7120593797733366076311318086086978160341727352661331057070689454547745192982183077839045352871475585630105847818565550177423069821
m: 20000000000000000000000000000000
c5: 1
c0: -86
skew: 2.44
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2800001)
Primes: RFBsize:216816, AFBsize:217561, largePrimes:5624338 encountered
Relations: rels:5571441, finalFF:535073
Max relations in full relation-set: 28
Initial matrix: 434441 x 535073 with sparse part having weight 42701966.
Pruned matrix : 379229 x 381465 with weight 27894484.
Total sieving time: 19.62 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.72 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 20.46 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407670)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

16×10157-439

c136

name 名前Sinkiti Sibata
date 日付April 24, 2008 06:39:19 UTC 2008 年 4 月 24 日 (木) 15 時 39 分 19 秒 (日本時間)
composite number 合成数
1436677438098467843084575873801589371763127357660342525685576450844456202363206072561849265365343365545478507747923070405695314056948867<136>
prime factors 素因数
2901114003506502307610374028265030500707093188178486117273<58>
495215781372945896967601620398746944009945389531259589750405256931914950509179<78>
factorization results 素因数分解の結果
Number: 17773_157
N=1436677438098467843084575873801589371763127357660342525685576450844456202363206072561849265365343365545478507747923070405695314056948867
  ( 136 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=2901114003506502307610374028265030500707093188178486117273 (pp58)
 r2=495215781372945896967601620398746944009945389531259589750405256931914950509179 (pp78)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 66.41 hours.
Scaled time: 44.96 units (timescale=0.677).
Factorization parameters were as follows:
name: 17773_157
n: 1436677438098467843084575873801589371763127357660342525685576450844456202363206072561849265365343365545478507747923070405695314056948867
m: 20000000000000000000000000000000
c5: 50
c0: -43
skew: 0.97
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3600001)
Primes: RFBsize:283146, AFBsize:283917, largePrimes:5731714 encountered
Relations: rels:5820203, finalFF:703323
Max relations in full relation-set: 28
Initial matrix: 567128 x 703323 with sparse part having weight 45486140.
Pruned matrix : 458529 x 461428 with weight 29111704.
Total sieving time: 57.29 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 8.63 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 66.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10158-439

c149

name 名前Robert Backstrom
date 日付April 18, 2008 08:06:16 UTC 2008 年 4 月 18 日 (金) 17 時 6 分 16 秒 (日本時間)
composite number 合成数
92628388302568645595550127548210992985873169297302502712303507160362538255924552544689072063877202571563233471253199962663372400097705975507053475399<149>
prime factors 素因数
515585271951048556898212277218261286633<39>
179656777145804708129547858060856269933397255736927677551557880399873254058579628363977016884753579212620803503<111>
factorization results 素因数分解の結果
Number: n
N=92628388302568645595550127548210992985873169297302502712303507160362538255924552544689072063877202571563233471253199962663372400097705975507053475399
  ( 149 digits)
SNFS difficulty: 160 digits.
Divisors found:

Fri Apr 18 17:59:12 2008  prp39 factor: 515585271951048556898212277218261286633
Fri Apr 18 17:59:12 2008  prp111 factor: 179656777145804708129547858060856269933397255736927677551557880399873254058579628363977016884753579212620803503
Fri Apr 18 17:59:12 2008  elapsed time 00:35:03 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 29.43 hours.
Scaled time: 24.66 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_7_157_3
n: 92628388302568645595550127548210992985873169297302502712303507160362538255924552544689072063877202571563233471253199962663372400097705975507053475399
type: snfs
deg: 5
c5: 4
c0: -1075
skew: 2.44
m: 100000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1899990)
Primes: RFBsize:216816, AFBsize:216841, largePrimes:5530400 encountered
Relations: rels:5435017, finalFF:515675
Max relations in full relation-set: 28
Initial matrix: 433721 x 515675 with sparse part having weight 39258233.
Pruned matrix : 
Total sieving time: 29.27 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 29.43 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

16×10159-439

c135

name 名前Jo Yeong Uk
date 日付April 20, 2008 14:48:46 UTC 2008 年 4 月 20 日 (日) 23 時 48 分 46 秒 (日本時間)
composite number 合成数
246428191313320666306972352915263184365357951694412511444685487421882568203843254315116845466116984910218199201031653835403409401130027<135>
prime factors 素因数
50742578999008560483591754078912162960258196529877<50>
4856438048175192886765210965298149844959246658051867441833610068768177210758899421951<85>
factorization results 素因数分解の結果
Number: 17773_159
N=246428191313320666306972352915263184365357951694412511444685487421882568203843254315116845466116984910218199201031653835403409401130027
  ( 135 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=50742578999008560483591754078912162960258196529877 (pp50)
 r2=4856438048175192886765210965298149844959246658051867441833610068768177210758899421951 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 36.12 hours.
Scaled time: 77.31 units (timescale=2.140).
Factorization parameters were as follows:
n: 246428191313320666306972352915263184365357951694412511444685487421882568203843254315116845466116984910218199201031653835403409401130027
m: 200000000000000000000000000000000
c5: 1
c0: -860
skew: 3.86
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4200001)
Primes: RFBsize:283146, AFBsize:282747, largePrimes:5782527 encountered
Relations: rels:5844803, finalFF:676274
Max relations in full relation-set: 28
Initial matrix: 565957 x 676274 with sparse part having weight 47468304.
Pruned matrix : 489177 x 492070 with weight 33466786.
Total sieving time: 34.67 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.32 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 36.12 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600

16×10161-439

c102

name 名前Robert Backstrom
date 日付April 17, 2008 07:11:59 UTC 2008 年 4 月 17 日 (木) 16 時 11 分 59 秒 (日本時間)
composite number 合成数
933454273273936577612474901491001066341309617815789327012871967840898500121908855872904953600329564997<102>
prime factors 素因数
36407080834751143443498565731037777<35>
25639360582377136928119325942391403410234951772381760032053460807861<68>
factorization results 素因数分解の結果
Number: n
N=933454273273936577612474901491001066341309617815789327012871967840898500121908855872904953600329564997
  ( 102 digits)
Divisors found:
 r1=36407080834751143443498565731037777 (pp35)
 r2=25639360582377136928119325942391403410234951772381760032053460807861 (pp68)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.34 hours.
Scaled time: 9.74 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_1_7_160_3
n: 933454273273936577612474901491001066341309617815789327012871967840898500121908855872904953600329564997
skew: 11093.37
# norm 3.99e+13
c5: 1800
c4: 372271082
c3: -473746083165
c2: -47756910272386885
c1: 76919695839272232985
c0: 206237387055222311017528
# alpha -5.02
Y1: 13814165629
Y0: -55329866672127928995
# Murphy_E 2.56e-09
# M 833706548574107714639820363179423211715410901127672776498804591771767671390163419824815462115955586024
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:169511, AFBsize:169583, largePrimes:4051501 encountered
Relations: rels:4057067, finalFF:469111
Max relations in full relation-set: 48
Initial matrix: 339174 x 469111 with sparse part having weight 27040198.
Pruned matrix : 217394 x 219153 with weight 8801689.
Total sieving time: 4.95 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.19 hours.
Total square root time: 0.10 hours, sqrts: 2.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.34 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

16×10162-439

c143

name 名前Robert Backstrom
date 日付April 24, 2008 22:19:06 UTC 2008 年 4 月 25 日 (金) 7 時 19 分 6 秒 (日本時間)
composite number 合成数
21971470849905589781816163859762807759659618505769802309846316269757328765929790453755702044661205491733330322156227744695485489829202477276099<143>
prime factors 素因数
326773001141993809558562853170105920525309244037613952095021260743<66>
67237717844254366899445055496166348279678953568775065861539166002421097389093<77>
factorization results 素因数分解の結果
Number: n
N=21971470849905589781816163859762807759659618505769802309846316269757328765929790453755702044661205491733330322156227744695485489829202477276099
  ( 143 digits)
SNFS difficulty: 163 digits.
Divisors found:

Fri Apr 25 07:05:56 2008  prp66 factor: 326773001141993809558562853170105920525309244037613952095021260743
Fri Apr 25 07:05:56 2008  prp77 factor: 67237717844254366899445055496166348279678953568775065861539166002421097389093
Fri Apr 25 07:05:56 2008  elapsed time 01:24:53 (Msieve 1.34)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 49.89 hours.
Scaled time: 72.29 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_1_7_161_3
n: 21971470849905589781816163859762807759659618505769802309846316269757328765929790453755702044661205491733330322156227744695485489829202477276099
skew: 0.97
deg: 5
c5: 50
c0: -43
m: 200000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2500001)
Primes: RFBsize:216816, AFBsize:217591, largePrimes:7367926 encountered
Relations: rels:6812297, finalFF:451630
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 49.66 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 49.89 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

16×10164-439

c140

name 名前Robert Backstrom
date 日付April 26, 2008 01:32:17 UTC 2008 年 4 月 26 日 (土) 10 時 32 分 17 秒 (日本時間)
composite number 合成数
16068574247074387113577017620238159213093751526506479937667554421487231709771454916780284266738393304073675357872389785275140835203319874379<140>
prime factors 素因数
37825696522622096171083659643078327824572061489197777<53>
424805772907959277493320907232824775148202682469380305573348520991402189391592516027227<87>
factorization results 素因数分解の結果
Number: n
N=16068574247074387113577017620238159213093751526506479937667554421487231709771454916780284266738393304073675357872389785275140835203319874379
  ( 140 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sat Apr 26 11:25:38 2008  prp53 factor: 37825696522622096171083659643078327824572061489197777
Sat Apr 26 11:25:38 2008  prp87 factor: 424805772907959277493320907232824775148202682469380305573348520991402189391592516027227
Sat Apr 26 11:25:38 2008  elapsed time 01:38:39 (Msieve 1.34)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 76.73 hours.
Scaled time: 100.59 units (timescale=1.311).
Factorization parameters were as follows:
name: KA_1_7_163_3
n: 16068574247074387113577017620238159213093751526506479937667554421487231709771454916780284266738393304073675357872389785275140835203319874379
skew: 1.93
deg: 5
c5: 8
c0: -215
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3500001)
Primes: RFBsize:216816, AFBsize:216381, largePrimes:7668818 encountered
Relations: rels:7112633, finalFF:424994
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 76.41 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 76.73 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

16×10168-439

c151

name 名前Robert Backstrom
date 日付May 26, 2008 00:39:19 UTC 2008 年 5 月 26 日 (月) 9 時 39 分 19 秒 (日本時間)
composite number 合成数
4369312939184165625180836841597347971254791918991676106754928705683067377067881882611451751045714600666480209361711867896552048991530145869270390347359<151>
prime factors 素因数
1135576527475659333289157303954971991389<40>
7332359625542663552102105388324769736487451<43>
524750651552389632583331633911460165026537808342751045471152014055281<69>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 4369312939184165625180836841597347971254791918991676106754928705683067377067881882611451751045714600666480209361711867896552048991530145869270390347359 (151 digits)
Using B1=3570000, B2=5146405640, polynomial Dickson(6), sigma=3683319371
Step 1 took 39859ms
********** Factor found in step 1: 1135576527475659333289157303954971991389
Found probable prime factor of 40 digits: 1135576527475659333289157303954971991389
Composite cofactor 3847660490919948366761919261633749695877165825894476197911616472552930306305900066786080295040588420179076778731 has 112 digits


Number: n
N=3847660490919948366761919261633749695877165825894476197911616472552930306305900066786080295040588420179076778731
  ( 112 digits)
Divisors found:

Mon May 26 10:32:20 2008  prp43 factor: 7332359625542663552102105388324769736487451
Mon May 26 10:32:20 2008  prp69 factor: 524750651552389632583331633911460165026537808342751045471152014055281
Mon May 26 10:32:20 2008  elapsed time 00:41:20 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 18.45 hours.
Scaled time: 33.75 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_7_167_3
n: 3847660490919948366761919261633749695877165825894476197911616472552930306305900066786080295040588420179076778731
skew: 36788.59
# norm 6.05e+15
c5: 78000
c4: -5631153824
c3: -347034960848259
c2: 5737219763925262545
c1: 298212253611090490023001
c0: 1359075478596552538555591221
# alpha -6.64
Y1: 390452078753
Y0: -2180828685196191746234
# Murphy_E 7.85e-10
# M 3106697242966918702106236308821846260072575737044410193218342945966571983336045922057382424617833389701926414309
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1300000)
Primes: RFBsize:250150, AFBsize:249801, largePrimes:6529947 encountered
Relations: rels:6131649, finalFF:518517
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 18.27 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 18.45 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

16×10169-439

c148

name 名前Serge Batalov
date 日付October 9, 2008 17:23:53 UTC 2008 年 10 月 10 日 (金) 2 時 23 分 53 秒 (日本時間)
composite number 合成数
1022766128534630473716139749411132618557924540474766154578045443849993035831818663230810420705936920336800737164136824385552259626574190971664707601<148>
prime factors 素因数
14960913929144985858253456596284691608551594667<47>
68362543450116714569706242160205915953260475026395859705760545962255010206177617289863648239322570803<101>
factorization results 素因数分解の結果
SNFS difficulty: 170 digits.
Divisors found:
 r1=14960913929144985858253456596284691608551594667
 r2=68362543450116714569706242160205915953260475026395859705760545962255010206177617289863648239322570803
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 1022766128534630473716139749411132618557924540474766154578045443849993035831818663230810420705936920336800737164136824385552259626574190971664707601
m: 10000000000000000000000000000000000
c5: 8
c0: -215
skew: 1.93
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 5600001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1095583 x 1095831
Total sieving time: 0.00 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,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)

16×10174-439

c152

name 名前Warut Roonguthai
date 日付October 6, 2011 13:41:45 UTC 2011 年 10 月 6 日 (木) 22 時 41 分 45 秒 (日本時間)
composite number 合成数
35604840590832334077893368953461006494349970305489497084739790716885220836576375506349523690147645472115512193873123075032729943026078765931504528309999<152>
prime factors 素因数
315165459467131128932188280149913718218524971845909160837871138399<66>
112971899430323178782713191958400951745612103006475176758347906344085105445788297388401<87>
factorization results 素因数分解の結果
N = 35604840590832334077893368953461006494349970305489497084739790716885220836576375506349523690147645472115512193873123075032729943026078765931504528309999 (152 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=315165459467131128932188280149913718218524971845909160837871138399 (pp66)
r2=112971899430323178782713191958400951745612103006475176758347906344085105445788297388401 (pp87)
Version: Msieve v. 1.48
Total time: 33.96 hours.
Factorization parameters were as follows:
name: (16*10^174-43)/9
n: 35604840590832334077893368953461006494349970305489497084739790716885220836576375506349523690147645472115512193873123075032729943026078765931504528309999
Y0: 20000000000000000000000000000000000
Y1: -1
c0: -43
c1: 0
c2: 0
c3: 0
c4: 0
c5: 5000
skew: 0.39
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20627933
Relations: 2316662 relations
Pruned matrix : 1323483 x 1323709
Polynomial selection time: 0.00 hours.
Total sieving time: 31.44 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.18 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 33.96 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiApril 19, 2010 04:09:16 UTC 2010 年 4 月 19 日 (月) 13 時 9 分 16 秒 (日本時間)
403e62111Wataru SakaiApril 29, 2010 06:51:26 UTC 2010 年 4 月 29 日 (木) 15 時 51 分 26 秒 (日本時間)

16×10175-439

c167

name 名前matsui
date 日付August 26, 2010 21:48:27 UTC 2010 年 8 月 27 日 (金) 6 時 48 分 27 秒 (日本時間)
composite number 合成数
18939130910107446712073817769316119726280880047725691345621625503260485198514809878421093097586427494936233619379514566725192925342051182902564345505804313505836801691<167>
prime factors 素因数
1864407648030990088010822824079480380972051954667<49>
10158256393181584638303638217803524386994826887889042833477974672525054196952495491085129323089645249753244855420333073<119>
factorization results 素因数分解の結果
N=18939130910107446712073817769316119726280880047725691345621625503260485198514809878421093097586427494936233619379514566725192925342051182902564345505804313505836801691
  ( 167 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=1864407648030990088010822824079480380972051954667 (pp49)
 r2=10158256393181584638303638217803524386994826887889042833477974672525054196952495491085129323089645249753244855420333073 (pp119)
Version: Msieve v. 1.47
Total time:
Scaled time: 50.19 units (timescale=1.885).
Factorization parameters were as follows:
n: 18939130910107446712073817769316119726280880047725691345621625503260485198514809878421093097586427494936233619379514566725192925342051182902564345505804313505836801691
m: 100000000000000000000000000000000000
deg: 5
c5: 16
c0: -43
skew: 1.22
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 rational special-q in [3050000, 6450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1299505 x 1299731
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 21, 2010 19:33:33 UTC 2010 年 6 月 22 日 (火) 4 時 33 分 33 秒 (日本時間)
403e62144110Ignacio SantosJune 21, 2010 19:33:33 UTC 2010 年 6 月 22 日 (火) 4 時 33 分 33 秒 (日本時間)
2034Wataru SakaiJune 28, 2010 01:59:59 UTC 2010 年 6 月 28 日 (月) 10 時 59 分 59 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 21, 2010 19:33:33 UTC 2010 年 6 月 22 日 (火) 4 時 33 分 33 秒 (日本時間)

16×10177-439

c168

name 名前Wataru Sakai
date 日付April 18, 2008 11:59:45 UTC 2008 年 4 月 18 日 (金) 20 時 59 分 45 秒 (日本時間)
composite number 合成数
271556677909013504743617893722894651979745671652692403894844606387554449996452462480956164881079191950354467482794834159115050499247632001366720048258375249145697189879<168>
prime factors 素因数
3540849013711996267182661087<28>
76692532456878501730549593664595518204648519628890706699390350654932773905434667749384344629111220283370888580298809813332301394964563882217<140>
factorization results 素因数分解の結果
Input number is 271556677909013504743617893722894651979745671652692403894844606387554449996452462480956164881079191950354467482794834159115050499247632001366720048258375249145697189879 (168 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3401928736
Step 1 took 19374ms
Step 2 took 8845ms
********** Factor found in step 2: 3540849013711996267182661087
Found probable prime factor of 28 digits: 3540849013711996267182661087
Probable prime cofactor 76692532456878501730549593664595518204648519628890706699390350654932773905434667749384344629111220283370888580298809813332301394964563882217 has 140 digits
software ソフトウェア
GMP-ECM 6.1.3
execution environment 実行環境
2x2.8GHz Quad-Core Xeon, OS X 10.5.2

16×10179-439

c159

name 名前Dmitry Domanov
date 日付October 30, 2012 06:46:03 UTC 2012 年 10 月 30 日 (火) 15 時 46 分 3 秒 (日本時間)
composite number 合成数
256678224891183371510655369364976943265514259853225088977517709221310435700727907790577028405944735810382729786777870848556185139734057112259129364757784127639<159>
prime factors 素因数
437226513754710889230364132835084826881952443<45>
21398306035562718436097136152884883654259842107<47>
27434884912781396626640891782370329134645935497068544736707397749039<68>
factorization results 素因数分解の結果
N=256678224891183371510655369364976943265514259853225088977517709221310435700727907790577028405944735810382729786777870848556185139734057112259129364757784127639
  ( 159 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=437226513754710889230364132835084826881952443 (pp45)
 r2=21398306035562718436097136152884883654259842107 (pp47)
 r3=27434884912781396626640891782370329134645935497068544736707397749039 (pp68)
Version: Msieve-1.40
Total time: 150.05 hours.
Scaled time: 292.00 units (timescale=1.946).
Factorization parameters were as follows:
n: 256678224891183371510655369364976943265514259853225088977517709221310435700727907790577028405944735810382729786777870848556185139734057112259129364757784127639
m: 1000000000000000000000000000000000000
deg: 5
c5: 8
c0: -215
skew: 1.93
# Murphy_E = 9.768e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 6000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1356711 x 1356939
Total sieving time: 147.39 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.94 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 150.05 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
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 10, 2010 22:08:44 UTC 2010 年 10 月 11 日 (月) 7 時 8 分 44 秒 (日本時間)
403e62144110Ignacio SantosOctober 10, 2010 22:08:44 UTC 2010 年 10 月 11 日 (月) 7 時 8 分 44 秒 (日本時間)
2034Wataru SakaiMay 15, 2012 03:00:44 UTC 2012 年 5 月 15 日 (火) 12 時 0 分 44 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 10, 2010 22:08:44 UTC 2010 年 10 月 11 日 (月) 7 時 8 分 44 秒 (日本時間)

16×10182-439

c169

name 名前Jo Yeong Uk
date 日付April 27, 2014 01:08:32 UTC 2014 年 4 月 27 日 (日) 10 時 8 分 32 秒 (日本時間)
composite number 合成数
2775751766946086911052748195918278047796938391891462044638023391134247668750415562758219542532979834903357434311924541817836554293178144257043226879476751942157930113973<169>
prime factors 素因数
733795438358838605289497579011218853444189261831<48>
5515831217728824676392933676630702688659633647739411<52>
685795528065846147043715063823594701788804645818240020763006172010353<69>
factorization results 素因数分解の結果
Number: 17773_182
N=2775751766946086911052748195918278047796938391891462044638023391134247668750415562758219542532979834903357434311924541817836554293178144257043226879476751942157930113973
  ( 169 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=733795438358838605289497579011218853444189261831
 r2=5515831217728824676392933676630702688659633647739411
 r3=685795528065846147043715063823594701788804645818240020763006172010353
Version: 
Total time: 61.84 hours.
Scaled time: 324.05 units (timescale=5.240).
Factorization parameters were as follows:
n: 2775751766946086911052748195918278047796938391891462044638023391134247668750415562758219542532979834903357434311924541817836554293178144257043226879476751942157930113973
m: 2000000000000000000000000000000000000
deg: 5
c5: 50
c0: -43
skew: 0.97
# Murphy_E = 7.853e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18673135
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1347956 x 1348204
Total sieving time: 58.25 hours.
Total relation processing time: 1.39 hours.
Matrix solve time: 2.03 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 61.84 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374320k/51380224k available (5220k kernel code, 1085960k absent, 919944k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031)
Total of 12 processors activated (81600.74 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 10, 2010 23:00:05 UTC 2010 年 10 月 11 日 (月) 8 時 0 分 5 秒 (日本時間)
403e61110110Ignacio SantosOctober 10, 2010 23:00:05 UTC 2010 年 10 月 11 日 (月) 8 時 0 分 5 秒 (日本時間)
1000Dmitry DomanovOctober 4, 2012 09:08:34 UTC 2012 年 10 月 4 日 (木) 18 時 8 分 34 秒 (日本時間)
4511e61282 / 422032Ignacio SantosOctober 10, 2010 23:00:05 UTC 2010 年 10 月 11 日 (月) 8 時 0 分 5 秒 (日本時間)
400Dmitry DomanovOctober 4, 2012 09:08:34 UTC 2012 年 10 月 4 日 (木) 18 時 8 分 34 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:15 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 15 秒 (日本時間)

16×10183-439

c160

name 名前Ignacio Santos
date 日付October 11, 2010 00:10:09 UTC 2010 年 10 月 11 日 (月) 9 時 10 分 9 秒 (日本時間)
composite number 合成数
3458362447233844126260770027882130586135114830556202108412378461056639905707507604771553580633296045793852654948104049064509672149797173541169180971001900887901<160>
prime factors 素因数
4184462484128793466687483903706761660741<40>
826477106761270529422470084249331604321316939888723004073437343338366577783581777936036359100699905133032684725160104761<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2172470057
Step 1 took 22121ms
Step 2 took 12044ms
********** Factor found in step 2: 4184462484128793466687483903706761660741
Found probable prime factor of 40 digits: 4184462484128793466687483903706761660741
Probable prime cofactor 826477106761270529422470084249331604321316939888723004073437343338366577783581777936036359100699905133032684725160104761 has 120 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)

16×10184-439

c121

name 名前Serge Batalov
date 日付June 26, 2008 02:07:58 UTC 2008 年 6 月 26 日 (木) 11 時 7 分 58 秒 (日本時間)
composite number 合成数
4805653851040109392177215026096003373172683820688660756487203509151647539326100450797095279277614038048699430656557915111<121>
prime factors 素因数
9530320599055730642353200206233150010763811<43>
504248918081124804358394041346970391553990768685952091678182150911229308328301<78>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3105924551
Step 1 took 13633ms
Step 2 took 5045ms
********** Factor found in step 2: 9530320599055730642353200206233150010763811
Found probable prime factor of 43 digits: 9530320599055730642353200206233150010763811
Probable prime cofactor 504248918081124804358394041346970391553990768685952091678182150911229308328301 has 78 digits
software ソフトウェア
GMP-ECM 6.2.1
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

16×10186-439

c172

name 名前LegionMammal978
date 日付February 19, 2017 20:10:40 UTC 2017 年 2 月 20 日 (月) 5 時 10 分 40 秒 (日本時間)
composite number 合成数
1466955118064721667403947521265147781439775158077810968334611282446324083318512449471679128562295012214541122661650645905386775300882997868185852388233483666393033391656907<172>
prime factors 素因数
10150204219704932098685088603513543620268031717575760524957629927207<68>
144524689977850146581966995384978378634704882000532915582365886178529924697709722340005784739069986087101<105>
factorization results 素因数分解の結果
Sun Feb 19 11:59:39 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Feb 19 11:59:39 2017  random seeds: ae4d8299 f99ff5fd
Sun Feb 19 11:59:39 2017  factoring 1466955118064721667403947521265147781439775158077810968334611282446324083318512449471679128562295012214541122661650645905386775300882997868185852388233483666393033391656907 (172 digits)
Sun Feb 19 11:59:39 2017  no P-1/P+1/ECM available, skipping
Sun Feb 19 11:59:39 2017  commencing number field sieve (172-digit input)
Sun Feb 19 11:59:39 2017  R0: -20000000000000000000000000000000000000
Sun Feb 19 11:59:39 2017  R1: 1
Sun Feb 19 11:59:39 2017  A0: -43
Sun Feb 19 11:59:39 2017  A1: 0
Sun Feb 19 11:59:39 2017  A2: 0
Sun Feb 19 11:59:39 2017  A3: 0
Sun Feb 19 11:59:39 2017  A4: 0
Sun Feb 19 11:59:39 2017  A5: 5
Sun Feb 19 11:59:39 2017  skew 1.54, size 4.632e-13, alpha 1.210, combined = 5.124e-11 rroots = 1
Sun Feb 19 11:59:39 2017  
Sun Feb 19 11:59:39 2017  commencing relation filtering
Sun Feb 19 11:59:39 2017  estimated available RAM is 15929.4 MB
Sun Feb 19 11:59:39 2017  commencing duplicate removal, pass 1
Sun Feb 19 12:02:07 2017  found 2834198 hash collisions in 21315043 relations
Sun Feb 19 12:02:26 2017  added 533 free relations
Sun Feb 19 12:02:26 2017  commencing duplicate removal, pass 2
Sun Feb 19 12:02:31 2017  found 2464283 duplicates and 18851293 unique relations
Sun Feb 19 12:02:31 2017  memory use: 98.6 MB
Sun Feb 19 12:02:31 2017  reading ideals above 720000
Sun Feb 19 12:02:31 2017  commencing singleton removal, initial pass
Sun Feb 19 12:04:24 2017  memory use: 689.0 MB
Sun Feb 19 12:04:24 2017  reading all ideals from disk
Sun Feb 19 12:04:24 2017  memory use: 596.0 MB
Sun Feb 19 12:04:25 2017  keeping 21148245 ideals with weight <= 200, target excess is 115872
Sun Feb 19 12:04:26 2017  commencing in-memory singleton removal
Sun Feb 19 12:04:27 2017  begin with 18851293 relations and 21148245 unique ideals
Sun Feb 19 12:04:34 2017  reduce to 7253370 relations and 7100515 ideals in 19 passes
Sun Feb 19 12:04:34 2017  max relations containing the same ideal: 102
Sun Feb 19 12:04:36 2017  removing 187126 relations and 177904 ideals in 9222 cliques
Sun Feb 19 12:04:36 2017  commencing in-memory singleton removal
Sun Feb 19 12:04:36 2017  begin with 7066244 relations and 7100515 unique ideals
Sun Feb 19 12:04:39 2017  reduce to 7061654 relations and 6918008 ideals in 8 passes
Sun Feb 19 12:04:39 2017  max relations containing the same ideal: 99
Sun Feb 19 12:04:41 2017  removing 133994 relations and 124772 ideals in 9222 cliques
Sun Feb 19 12:04:41 2017  commencing in-memory singleton removal
Sun Feb 19 12:04:41 2017  begin with 6927660 relations and 6918008 unique ideals
Sun Feb 19 12:04:43 2017  reduce to 6925301 relations and 6790873 ideals in 8 passes
Sun Feb 19 12:04:43 2017  max relations containing the same ideal: 96
Sun Feb 19 12:04:45 2017  relations with 0 large ideals: 2845
Sun Feb 19 12:04:45 2017  relations with 1 large ideals: 891
Sun Feb 19 12:04:45 2017  relations with 2 large ideals: 17727
Sun Feb 19 12:04:45 2017  relations with 3 large ideals: 136801
Sun Feb 19 12:04:45 2017  relations with 4 large ideals: 573165
Sun Feb 19 12:04:45 2017  relations with 5 large ideals: 1385833
Sun Feb 19 12:04:45 2017  relations with 6 large ideals: 2071455
Sun Feb 19 12:04:45 2017  relations with 7+ large ideals: 2736584
Sun Feb 19 12:04:45 2017  commencing 2-way merge
Sun Feb 19 12:04:47 2017  reduce to 3952938 relation sets and 3818518 unique ideals
Sun Feb 19 12:04:47 2017  ignored 8 oversize relation sets
Sun Feb 19 12:04:47 2017  commencing full merge
Sun Feb 19 12:05:28 2017  memory use: 449.7 MB
Sun Feb 19 12:05:28 2017  found 1978854 cycles, need 1974718
Sun Feb 19 12:05:29 2017  weight of 1974718 cycles is about 138276071 (70.02/cycle)
Sun Feb 19 12:05:29 2017  distribution of cycle lengths:
Sun Feb 19 12:05:29 2017  1 relations: 298287
Sun Feb 19 12:05:29 2017  2 relations: 254496
Sun Feb 19 12:05:29 2017  3 relations: 237610
Sun Feb 19 12:05:29 2017  4 relations: 205156
Sun Feb 19 12:05:29 2017  5 relations: 174063
Sun Feb 19 12:05:29 2017  6 relations: 143908
Sun Feb 19 12:05:29 2017  7 relations: 121143
Sun Feb 19 12:05:29 2017  8 relations: 98637
Sun Feb 19 12:05:29 2017  9 relations: 79895
Sun Feb 19 12:05:29 2017  10+ relations: 361523
Sun Feb 19 12:05:29 2017  heaviest cycle: 28 relations
Sun Feb 19 12:05:29 2017  commencing cycle optimization
Sun Feb 19 12:05:31 2017  start with 11606064 relations
Sun Feb 19 12:05:42 2017  pruned 235816 relations
Sun Feb 19 12:05:42 2017  memory use: 393.6 MB
Sun Feb 19 12:05:42 2017  distribution of cycle lengths:
Sun Feb 19 12:05:42 2017  1 relations: 298287
Sun Feb 19 12:05:42 2017  2 relations: 259687
Sun Feb 19 12:05:42 2017  3 relations: 244824
Sun Feb 19 12:05:42 2017  4 relations: 208584
Sun Feb 19 12:05:42 2017  5 relations: 176706
Sun Feb 19 12:05:42 2017  6 relations: 144601
Sun Feb 19 12:05:42 2017  7 relations: 120945
Sun Feb 19 12:05:42 2017  8 relations: 97397
Sun Feb 19 12:05:42 2017  9 relations: 78637
Sun Feb 19 12:05:42 2017  10+ relations: 345050
Sun Feb 19 12:05:42 2017  heaviest cycle: 28 relations
Sun Feb 19 12:05:44 2017  RelProcTime: 365
Sun Feb 19 12:05:44 2017  elapsed time 00:06:05
Sun Feb 19 12:05:44 2017 LatSieveTime: 1117.03
Sun Feb 19 12:05:44 2017 -> Running matrix solving step ...
Sun Feb 19 12:05:44 2017 -> ./msieve -s 17773_186/17773_186.dat -l 17773_186/17773_186.log -i 17773_186/17773_186.ini -nf 17773_186/17773_186.fb -t 6 -nc2
Sun Feb 19 12:05:44 2017  
Sun Feb 19 12:05:44 2017  
Sun Feb 19 12:05:44 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Feb 19 12:05:44 2017  random seeds: ce54c951 2849547c
Sun Feb 19 12:05:44 2017  factoring 1466955118064721667403947521265147781439775158077810968334611282446324083318512449471679128562295012214541122661650645905386775300882997868185852388233483666393033391656907 (172 digits)
Sun Feb 19 12:05:45 2017  no P-1/P+1/ECM available, skipping
Sun Feb 19 12:05:45 2017  commencing number field sieve (172-digit input)
Sun Feb 19 12:05:45 2017  R0: -20000000000000000000000000000000000000
Sun Feb 19 12:05:45 2017  R1: 1
Sun Feb 19 12:05:45 2017  A0: -43
Sun Feb 19 12:05:45 2017  A1: 0
Sun Feb 19 12:05:45 2017  A2: 0
Sun Feb 19 12:05:45 2017  A3: 0
Sun Feb 19 12:05:45 2017  A4: 0
Sun Feb 19 12:05:45 2017  A5: 5
Sun Feb 19 12:05:45 2017  skew 1.54, size 4.632e-13, alpha 1.210, combined = 5.124e-11 rroots = 1
Sun Feb 19 12:05:45 2017  
Sun Feb 19 12:05:45 2017  commencing linear algebra
Sun Feb 19 12:05:45 2017  read 1974718 cycles
Sun Feb 19 12:05:47 2017  cycles contain 6716337 unique relations
Sun Feb 19 12:06:19 2017  read 6716337 relations
Sun Feb 19 12:06:23 2017  using 20 quadratic characters above 4294917295
Sun Feb 19 12:06:49 2017  building initial matrix
Sun Feb 19 12:07:28 2017  memory use: 817.0 MB
Sun Feb 19 12:07:28 2017  read 1974718 cycles
Sun Feb 19 12:07:28 2017  matrix is 1974540 x 1974718 (593.2 MB) with weight 175850753 (89.05/col)
Sun Feb 19 12:07:28 2017  sparse part has weight 133773710 (67.74/col)
Sun Feb 19 12:07:39 2017  filtering completed in 2 passes
Sun Feb 19 12:07:40 2017  matrix is 1972398 x 1972575 (593.0 MB) with weight 175770813 (89.11/col)
Sun Feb 19 12:07:40 2017  sparse part has weight 133745581 (67.80/col)
Sun Feb 19 12:07:43 2017  matrix starts at (0, 0)
Sun Feb 19 12:07:44 2017  matrix is 1972398 x 1972575 (593.0 MB) with weight 175770813 (89.11/col)
Sun Feb 19 12:07:44 2017  sparse part has weight 133745581 (67.80/col)
Sun Feb 19 12:07:44 2017  saving the first 48 matrix rows for later
Sun Feb 19 12:07:44 2017  matrix includes 64 packed rows
Sun Feb 19 12:07:44 2017  matrix is 1972350 x 1972575 (563.8 MB) with weight 139556702 (70.75/col)
Sun Feb 19 12:07:44 2017  sparse part has weight 128078631 (64.93/col)
Sun Feb 19 12:07:44 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Feb 19 12:07:49 2017  commencing Lanczos iteration (6 threads)
Sun Feb 19 12:07:49 2017  memory use: 454.7 MB
Sun Feb 19 12:07:53 2017  linear algebra at 0.1%, ETA 1h26m
Sun Feb 19 12:07:55 2017  checkpointing every 1220000 dimensions
Sun Feb 19 13:41:50 2017  lanczos halted after 31192 iterations (dim = 1972350)
Sun Feb 19 13:41:52 2017  recovered 37 nontrivial dependencies
Sun Feb 19 13:41:52 2017  BLanczosTime: 5767
Sun Feb 19 13:41:52 2017  elapsed time 01:36:08
Sun Feb 19 13:41:52 2017 -> Running square root step ...
Sun Feb 19 13:41:52 2017 -> ./msieve -s 17773_186/17773_186.dat -l 17773_186/17773_186.log -i 17773_186/17773_186.ini -nf 17773_186/17773_186.fb -t 6 -nc3
Sun Feb 19 13:41:52 2017  
Sun Feb 19 13:41:52 2017  
Sun Feb 19 13:41:52 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Feb 19 13:41:52 2017  random seeds: 6fb7e7ad a5cbc7b9
Sun Feb 19 13:41:52 2017  factoring 1466955118064721667403947521265147781439775158077810968334611282446324083318512449471679128562295012214541122661650645905386775300882997868185852388233483666393033391656907 (172 digits)
Sun Feb 19 13:41:52 2017  no P-1/P+1/ECM available, skipping
Sun Feb 19 13:41:52 2017  commencing number field sieve (172-digit input)
Sun Feb 19 13:41:52 2017  R0: -20000000000000000000000000000000000000
Sun Feb 19 13:41:52 2017  R1: 1
Sun Feb 19 13:41:52 2017  A0: -43
Sun Feb 19 13:41:52 2017  A1: 0
Sun Feb 19 13:41:52 2017  A2: 0
Sun Feb 19 13:41:52 2017  A3: 0
Sun Feb 19 13:41:52 2017  A4: 0
Sun Feb 19 13:41:52 2017  A5: 5
Sun Feb 19 13:41:52 2017  skew 1.54, size 4.632e-13, alpha 1.210, combined = 5.124e-11 rroots = 1
Sun Feb 19 13:41:52 2017  
Sun Feb 19 13:41:52 2017  commencing square root phase
Sun Feb 19 13:41:52 2017  reading relations for dependency 1
Sun Feb 19 13:41:53 2017  read 986269 cycles
Sun Feb 19 13:41:54 2017  cycles contain 3359264 unique relations
Sun Feb 19 13:42:09 2017  read 3359264 relations
Sun Feb 19 13:42:19 2017  multiplying 3359264 relations
Sun Feb 19 13:43:35 2017  multiply complete, coefficients have about 84.28 million bits
Sun Feb 19 13:43:36 2017  initial square root is modulo 1121941
Sun Feb 19 13:45:06 2017  sqrtTime: 194
Sun Feb 19 13:45:06 2017  p68 factor: 10150204219704932098685088603513543620268031717575760524957629927207
Sun Feb 19 13:45:06 2017  p105 factor: 144524689977850146581966995384978378634704882000532915582365886178529924697709722340005784739069986087101
Sun Feb 19 13:45:06 2017  elapsed time 00:03:14
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 07:58:38 UTC 2010 年 10 月 11 日 (月) 16 時 58 分 38 秒 (日本時間)
403e61110110Ignacio SantosOctober 11, 2010 07:58:38 UTC 2010 年 10 月 11 日 (月) 16 時 58 分 38 秒 (日本時間)
1000Dmitry DomanovOctober 4, 2012 09:09:03 UTC 2012 年 10 月 4 日 (木) 18 時 9 分 3 秒 (日本時間)
4511e6632 / 422032Ignacio SantosOctober 11, 2010 07:58:38 UTC 2010 年 10 月 11 日 (月) 16 時 58 分 38 秒 (日本時間)
400Dmitry DomanovOctober 4, 2012 09:09:03 UTC 2012 年 10 月 4 日 (木) 18 時 9 分 3 秒 (日本時間)
200Dmitry DomanovDecember 23, 2015 14:54:07 UTC 2015 年 12 月 23 日 (水) 23 時 54 分 7 秒 (日本時間)

16×10189-439

c164

name 名前Eric Jeancolas
date 日付August 11, 2020 05:06:01 UTC 2020 年 8 月 11 日 (火) 14 時 6 分 1 秒 (日本時間)
composite number 合成数
79307959942492369571527697286754822655574130812421526491081161750424805898238478732894714307973257378743173706655502986151739689595795174445190870337963495602248679<164>
prime factors 素因数
2106978734507015930009639105015988943817187314173<49>
3832429435795040644232263146532291288806536713319<49>
9821604888968809017769007536707119582205238573304838754418733826517<67>
factorization results 素因数分解の結果
79307959942492369571527697286754822655574130812421526491081161750424805898238478732894714307973257378743173706655502986151739689595795174445190870337963495602248679=2106978734507015930009639105015988943817187314173*3832429435795040644232263146532291288806536713319*9821604888968809017769007536707119582205238573304838754418733826517

n: 79307959942492369571527697286754822655574130812421526491081161750424805898238478732894714307973257378743173706655502986151739689595795174445190870337963495602248679
skew: 1.93
type: snfs
c0: -215
c5: 8
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^5-215
# g(x) = -x+100000000000000000000000000000000000000

Info:Square Root: Factors: 2106978734507015930009639105015988943817187314173 3832429435795040644232263146532291288806536713319 9821604888968809017769007536707119582205238573304838754418733826517
Info:Square Root: Total cpu/real time for sqrt: 956.24/367.569
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.6/2.96995
Info:Generate Free Relations: Total cpu/real time for freerel: 100.74/45.0426
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25880785
Info:Lattice Sieving: Average J: 1893.89 for 2320668 special-q, max bucket fill -bkmult 1.0,1s:1.122480
Info:Lattice Sieving: Total time: 517688s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.34/134.465
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 133.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 426.57/471.131
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 415.70000000000005s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 330.76/380.599
Info:Filtering - Merging: Total cpu/real time for merge: 297.76/109.858
Info:Filtering - Merging: Total cpu/real time for replay: 83.03/73.8269
Info:Linear Algebra: Total cpu/real time for bwc: 78220.4/29443.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 17557.9, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (65024 iterations)
Info:Linear Algebra: Lingen CPU time 5608.34, WCT time 1945.63
Info:Linear Algebra: Mksol: WCT time 9779.49, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (32512 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 74.57/38.2047
Info:Square Root: Total cpu/real time for sqrt: 956.24/367.569
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.01428e+06/29854.4
2106978734507015930009639105015988943817187314173 3832429435795040644232263146532291288806536713319 9821604888968809017769007536707119582205238573304838754418733826517
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 07:59:03 UTC 2010 年 10 月 11 日 (月) 16 時 59 分 3 秒 (日本時間)
403e61110110Ignacio SantosOctober 11, 2010 07:59:03 UTC 2010 年 10 月 11 日 (月) 16 時 59 分 3 秒 (日本時間)
1000Dmitry DomanovOctober 4, 2012 09:09:15 UTC 2012 年 10 月 4 日 (木) 18 時 9 分 15 秒 (日本時間)
4511e6463232Ignacio SantosOctober 11, 2010 07:59:03 UTC 2010 年 10 月 11 日 (月) 16 時 59 分 3 秒 (日本時間)
400Dmitry DomanovOctober 4, 2012 09:09:15 UTC 2012 年 10 月 4 日 (木) 18 時 9 分 15 秒 (日本時間)
200Dmitry DomanovDecember 23, 2015 14:54:18 UTC 2015 年 12 月 23 日 (水) 23 時 54 分 18 秒 (日本時間)
4000Robert BalfourMarch 27, 2020 01:29:12 UTC 2020 年 3 月 27 日 (金) 10 時 29 分 12 秒 (日本時間)

16×10191-439

c168

name 名前Wataru Sakai
date 日付April 20, 2008 08:41:48 UTC 2008 年 4 月 20 日 (日) 17 時 41 分 48 秒 (日本時間)
composite number 合成数
214387598836454016555193143055998271843048802813970491034479543199743055298157307747144512520824967285869261675809112128071668152611688749155486720755420552010379629723<168>
prime factors 素因数
64024419926416439664546147244965522487<38>
3348528562739821307034868195960668802228141828168170031835393402661109187594911879893998700809150934886296138950389462224621424829<130>
factorization results 素因数分解の結果
Input number is 214387598836454016555193143055998271843048802813970491034479543199743055298157307747144512520824967285869261675809112128071668152611688749155486720755420552010379629723 (168 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2570071782
Step 1 took 19360ms
Step 2 took 8834ms
********** Factor found in step 2: 64024419926416439664546147244965522487
Found probable prime factor of 38 digits: 64024419926416439664546147244965522487
Probable prime cofactor 3348528562739821307034868195960668802228141828168170031835393402661109187594911879893998700809150934886296138950389462224621424829 has 130 digits
software ソフトウェア
GMP-ECM 6.1.3
execution environment 実行環境
OS X10.5.2, 2.8GHz Xeon

16×10197-439

c172

name 名前Bob Backstrom
date 日付March 22, 2021 14:09:54 UTC 2021 年 3 月 22 日 (月) 23 時 9 分 54 秒 (日本時間)
composite number 合成数
7819852410787746467769368044053007528384182502852916898839296545064655436891757189450213062752469580098108683943938438619576335391144623289663645202109451384150824483405963<172>
prime factors 素因数
25300922562829114654417842521437531649960455104531661433122867897262081879658853<80>
309073805169314001341624464213521687899128598781448723532471105904297958609567624597726765871<93>
factorization results 素因数分解の結果
Number: n
N=7819852410787746467769368044053007528384182502852916898839296545064655436891757189450213062752469580098108683943938438619576335391144623289663645202109451384150824483405963  ( 172 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Mar 23 01:02:16 2021  p80 factor: 25300922562829114654417842521437531649960455104531661433122867897262081879658853
Tue Mar 23 01:02:16 2021  p93 factor: 309073805169314001341624464213521687899128598781448723532471105904297958609567624597726765871
Tue Mar 23 01:02:16 2021  elapsed time 01:07:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 16x10^197-43 = 17(196)3
#
n: 7819852410787746467769368044053007528384182502852916898839296545064655436891757189450213062752469580098108683943938438619576335391144623289663645202109451384150824483405963
m: 2000000000000000000000000000000000000000
deg: 5
c5: 50
c0: -43
skew: 0.97
# Murphy_E = 1.9e-11
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4030608 hash collisions in 29336891 relations (26814759 unique)
Msieve: matrix is 1700094 x 1700319 (593.5 MB)

Sieving start time : 2021/03/22 17:22:31
Sieving end time  : 2021/03/22 23:54:11

Total sieving time: 6hrs 31min 40secs.

Total relation processing time: 0hrs 57min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 9sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14100000,14100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116948] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153521] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152037] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 07:59:27 UTC 2010 年 10 月 11 日 (月) 16 時 59 分 27 秒 (日本時間)
403e61110110Ignacio SantosOctober 11, 2010 07:59:27 UTC 2010 年 10 月 11 日 (月) 16 時 59 分 27 秒 (日本時間)
1000Dmitry DomanovOctober 4, 2012 09:11:12 UTC 2012 年 10 月 4 日 (木) 18 時 11 分 12 秒 (日本時間)
4511e6632 / 422032Ignacio SantosOctober 11, 2010 07:59:27 UTC 2010 年 10 月 11 日 (月) 16 時 59 分 27 秒 (日本時間)
400Dmitry DomanovOctober 4, 2012 09:11:12 UTC 2012 年 10 月 4 日 (木) 18 時 11 分 12 秒 (日本時間)
200Dmitry DomanovDecember 23, 2015 14:54:40 UTC 2015 年 12 月 23 日 (水) 23 時 54 分 40 秒 (日本時間)

16×10198-439

c188

name 名前Robert Backstrom
date 日付September 13, 2012 12:17:07 UTC 2012 年 9 月 13 日 (木) 21 時 17 分 7 秒 (日本時間)
composite number 合成数
28872120214784906549633935339094682878455056097152711026718169346800805287671374747142472728469463925649830584955347917570347822656329301861337036543969975504772289728010737253826072686629<188>
prime factors 素因数
1737684292319020046898327384041762205532100506634452551406312599377003<70>
16615285263500728857162762999863061087194607410751206251965764247876549957852252761467533302402157059667561819181658543<119>
factorization results 素因数分解の結果
Number: n
N=28872120214784906549633935339094682878455056097152711026718169346800805287671374747142472728469463925649830584955347917570347822656329301861337036543969975504772289728010737253826072686629
  ( 188 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Sep 13 22:09:50 2012  prp70 factor: 1737684292319020046898327384041762205532100506634452551406312599377003
Thu Sep 13 22:09:50 2012  prp119 factor: 16615285263500728857162762999863061087194607410751206251965764247876549957852252761467533302402157059667561819181658543
Thu Sep 13 22:09:50 2012  elapsed time 06:00:55 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
name: KA_17773_198
n: 28872120214784906549633935339094682878455056097152711026718169346800805287671374747142472728469463925649830584955347917570347822656329301861337036543969975504772289728010737253826072686629
m: 2000000000000000000000000000000000000000
#  c188, diff: 199.2
skew: 0.612
deg: 5
c5: 500
c0: -43
# Murphy_E = 1.618e-11
type: snfs
lss: 1
rlim: 14600000
alim: 14600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14600000/14600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 22500000)
Primes: RFBsize:946551, AFBsize:947458,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4408896 hash collisions in 30466223 relations (27578127 unique)
Msieve: matrix is 1979466 x 1979692 (561.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14600000,14600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830713)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.15 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 07:59:51 UTC 2010 年 10 月 11 日 (月) 16 時 59 分 51 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 11, 2010 07:59:51 UTC 2010 年 10 月 11 日 (月) 16 時 59 分 51 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 11, 2010 07:59:51 UTC 2010 年 10 月 11 日 (月) 16 時 59 分 51 秒 (日本時間)

16×10199-439

c161

name 名前Serge Batalov
date 日付August 3, 2008 18:42:17 UTC 2008 年 8 月 4 日 (月) 3 時 42 分 17 秒 (日本時間)
composite number 合成数
20327300454368164664818948079763942577861775430794380233977414059171402797383061957216631331498095717750377254724400653649486994628445696373564690040600989777149<161>
prime factors 素因数
4390892260316240532684572528091436747139<40>
23900525030689996426582940228851626653088952483784974829<56>
193695479051958499150090176237277153417415656132662983103787245979<66>
factorization results 素因数分解の結果
# first ECM
#
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1416775493
Step 1 took 24354ms
Step 2 took 19253ms
********** Factor found in step 2: 4390892260316240532684572528091436747139
Found probable prime factor of 40 digits: 4390892260316240532684572528091436747139
Composite cofactor 4629423645412823967849086103516114227366096388384060554523226454110605387301721011151681397173112326997089098521746462591 has 121 digits
#
# then Msieve-1.36/gnfs-121
#
Number: 17773_199
N=4629423645412823967849086103516114227366096388384060554523226454110605387301721011151681397173112326997089098521746462591
  ( 121 digits)
Divisors found:
 r1=23900525030689996426582940228851626653088952483784974829
 r2=193695479051958499150090176237277153417415656132662983103787245979
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
name: 17773_199
n: 4629423645412823967849086103516114227366096388384060554523226454110605387301721011151681397173112326997089098521746462591
skew: 43909.78
# norm 6.12e+16
c5: 13800
c4: 29054540302
c3: -1619554790749659
c2: -70244931498683416923
c1: 55355974140314250897651
c0: 1392762997799671933665557405
# alpha -5.70
Y1: 9197936842171
Y0: -201892988572876655833536
# Murphy_E 2.30e-10
# M 4486796550059614013416217299982389050995435682256387198880252966082610771759153383949597551122257473790454129900955193894
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 9500001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 830699 x 830947
Total sieving time: 0.00 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:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.5,2.5,100000

total time: 2.5 days
software ソフトウェア
GMP-ECM 6.2.1; Msieve-1.36/gnfs
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)

16×10200-439

c173

name 名前Robert Backstrom
date 日付October 7, 2012 03:09:37 UTC 2012 年 10 月 7 日 (日) 12 時 9 分 37 秒 (日本時間)
composite number 合成数
29653511229342982254783651315660639089079778285860024799723864092978207783949924900773185590910919135312798724152905855627098945721505896448607311418140472800339874727419819<173>
prime factors 素因数
515748298719174483869729083288851789251398811259421462628699240489324807940077427173<84>
57496091219273903503285006321945172996870779034406784269097937800679380067834623843777103<89>
factorization results 素因数分解の結果
Number: n
N=29653511229342982254783651315660639089079778285860024799723864092978207783949924900773185590910919135312798724152905855627098945721505896448607311418140472800339874727419819
  ( 173 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Oct  7 06:55:36 2012  prp84 factor: 515748298719174483869729083288851789251398811259421462628699240489324807940077427173
Sun Oct  7 06:55:36 2012  prp89 factor: 57496091219273903503285006321945172996870779034406784269097937800679380067834623843777103
Sun Oct  7 06:55:36 2012  elapsed time 05:37:56 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
name: KA_17773_200
n: 29653511229342982254783651315660639089079778285860024799723864092978207783949924900773185590910919135312798724152905855627098945721505896448607311418140472800339874727419819
m: 10000000000000000000000000000000000000000
#  c173, diff: 201.2
skew: 1.219
deg: 5
c5: 16
c0: -43
# Murphy_E = 1.521e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 30700000)
Primes: RFBsize:1019012, AFBsize:1020567,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9440289 hash collisions in 64890490 relations (58042815 unique)
Msieve: matrix is 1925971 x 1926197 (541.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15800000,15800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 16, 2008 09:00:00 UTC 2008 年 4 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 08:00:16 UTC 2010 年 10 月 11 日 (月) 17 時 0 分 16 秒 (日本時間)
403e61110110Ignacio SantosOctober 11, 2010 08:00:16 UTC 2010 年 10 月 11 日 (月) 17 時 0 分 16 秒 (日本時間)
1000Dmitry DomanovOctober 4, 2012 09:11:24 UTC 2012 年 10 月 4 日 (木) 18 時 11 分 24 秒 (日本時間)
4511e6432 / 422032Ignacio SantosOctober 11, 2010 08:00:16 UTC 2010 年 10 月 11 日 (月) 17 時 0 分 16 秒 (日本時間)
400Dmitry DomanovOctober 4, 2012 09:11:24 UTC 2012 年 10 月 4 日 (木) 18 時 11 分 24 秒 (日本時間)

16×10201-439

c169

name 名前Bob Backstrom
date 日付August 12, 2021 14:10:01 UTC 2021 年 8 月 12 日 (木) 23 時 10 分 1 秒 (日本時間)
composite number 合成数
6068564346957920937186667901577996126878253274595606546443712601138049529691350756101541834814576326272658265521160481456522204704617388349838353104687194403168531157579<169>
prime factors 素因数
110121893176095419893297921189956627657409<42>
2546357272018092249472434220153771217985538975639<49>
21641778811876407429588720047501762298332168663563229306165067874668835232896429<80>
factorization results 素因数分解の結果
#
# N = 16x10^201-43 = 17(200)3
#
n: 6068564346957920937186667901577996126878253274595606546443712601138049529691350756101541834814576326272658265521160481456522204704617388349838353104687194403168531157579
m: 20000000000000000000000000000000000000000
deg: 5
c5: 5
c0: -43
skew: 1.54
# Murphy_E = 1.377e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6068564346957920937186667901577996126878253274595606546443712601138049529691350756101541834814576326272658265521160481456522204704617388349838353104687194403168531157579 (169 digits)
Using B1=35890000, B2=192388936756, polynomial Dickson(12), sigma=1:81508068
Step 1 took 84234ms
Step 2 took 30663ms
********** Factor found in step 2: 110121893176095419893297921189956627657409
Found prime factor of 42 digits: 110121893176095419893297921189956627657409
Composite cofactor 55107700857028558484859774278299106919540062481173034632571003563310030370276217148880000840320979741781373034070111631641093131 has 128 digits


CADO

STA:Thu 12 Aug 2021 18:04:58 AEST (55,107,700,857,028,558,484,859,774,278,299,106,919,540,062,481,173,034,632,571,003,563,310,030,370,276,217,148,880,000,840,320,979,741,781,373,034,070,111,631,641,093,131 - C128)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 55107700857028558484859774278299106919540062481173034632571003563310030370276217148880000840320979741781373034070111631641093131 2>&1 | tee -a log42

Debug:root: Looking for parameter file for c128 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.maw3lhn5
Info:Database: Opened connection to database /tmp/cado.maw3lhn5/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 55107700857028558484859774278299106919540062481173034632571003563310030370276217148880000840320979741781373034070111631641093131
Debug:root: Root parameter dictionary:
N = 55107700857028558484859774278299106919540062481173034632571003563310030370276217148880000840320979741781373034070111631641093131
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 55107700857028558484859774278299106919540062481173034632571003563310030370276217148880000840320979741781373034070111631641093131
skew: 16722.975
c0: -2208164782641154838026736618
c1: -675088559526234384940521
c2: 18612050526750419680
c3: 4943614018194003
c4: -52067608220
c5: 1224000
Y0: -2838894523398651925258875
Y1: 1648538019921227707
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.08e-09
# f(x) = 1224000*x^5-52067608220*x^4+4943614018194003*x^3+18612050526750419680*x^2-675088559526234384940521*x-2208164782641154838026736618
# g(x) = 1648538019921227707*x-2838894523398651925258875
...
Info:Square Root: Factors: 21641778811876407429588720047501762298332168663563229306165067874668835232896429 2546357272018092249472434220153771217985538975639
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1717.17/238.615
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39052/37.210/45.580/49.790/0.858
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39052/36.680/40.933/46.370/1.051
Info:Polynomial Selection (size optimized): Total time: 5813.76
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1717.92
Info:Polynomial Selection (root optimized): Rootsieve time: 1717.02
Info:Generate Factor Base: Total cpu/real time for makefb: 59.66/5.26329
Info:Generate Free Relations: Total cpu/real time for freerel: 303.54/20.0616
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19143236
Info:Lattice Sieving: Average J: 7576.72 for 70753 special-q, max bucket fill: 0.605641
Info:Lattice Sieving: Total CPU time: 227970s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.29/68.3885
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 68.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 326.22/102.58
Info:Filtering - Singleton removal: Total cpu/real time for purge: 197.42/79.7973
Info:Filtering - Merging: Total cpu/real time for merge: 1021.46/924.108
Info:Filtering - Merging: Total cpu/real time for replay: 64.84/51.6998
Info:Linear Algebra: Total cpu/real time for bwc: 58430.4/0.000343084
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2482.64
Info:Linear Algebra: Lingen CPU time 358.29, WCT time 35.13
Info:Linear Algebra: Mksol: WCT time 1382.04
Info:Quadratic Characters: Total cpu/real time for characters: 59.01/13.9734
Info:Square Root: Total cpu/real time for sqrt: 1717.17/238.615
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 297732/20925.8
Info:root: Cleaning up computation data in /tmp/cado.maw3lhn5
21641778811876407429588720047501762298332168663563229306165067874668835232896429 2546357272018092249472434220153771217985538975639

END:Thu 12 Aug 2021 23:53:45 AEST (55,107,700,857,028,558,484,859,774,278,299,106,919,540,062,481,173,034,632,571,003,563,310,030,370,276,217,148,880,000,840,320,979,741,781,373,034,070,111,631,641,093,131 - C128)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:32:36 UTC 2012 年 9 月 27 日 (木) 3 時 32 分 36 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:11:35 UTC 2012 年 10 月 4 日 (木) 18 時 11 分 35 秒 (日本時間)
4511e6600 / 4208400Dmitry DomanovOctober 4, 2012 09:11:41 UTC 2012 年 10 月 4 日 (木) 18 時 11 分 41 秒 (日本時間)
200Dmitry DomanovDecember 23, 2015 14:54:56 UTC 2015 年 12 月 23 日 (水) 23 時 54 分 56 秒 (日本時間)

16×10202-439

c192

name 名前Bob Backstrom
date 日付May 14, 2021 18:52:43 UTC 2021 年 5 月 15 日 (土) 3 時 52 分 43 秒 (日本時間)
composite number 合成数
490573449816697310347480848269694621993254213401876206439090574957003667531749814813921301707795030008444321337723102582000830518278028808855633292712658061985710784918679882263672431564747127<192>
prime factors 素因数
1149931546797980234910753074359066204487944546780921819876841<61>
426611002352891502008075752860840380133072843310821358552133636950101052937873826245755995099609773850531539550971151823213955991647<132>
factorization results 素因数分解の結果
Number: n
N=490573449816697310347480848269694621993254213401876206439090574957003667531749814813921301707795030008444321337723102582000830518278028808855633292712658061985710784918679882263672431564747127
  ( 192 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sat May 15 04:46:50 2021  p61 factor: 1149931546797980234910753074359066204487944546780921819876841
Sat May 15 04:46:50 2021  p132 factor: 426611002352891502008075752860840380133072843310821358552133636950101052937873826245755995099609773850531539550971151823213955991647
Sat May 15 04:46:50 2021  elapsed time 01:38:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 16x10^202-43 = 17(201)3
#
n: 490573449816697310347480848269694621993254213401876206439090574957003667531749814813921301707795030008444321337723102582000830518278028808855633292712658061985710784918679882263672431564747127
m: 20000000000000000000000000000000000000000
deg: 5
c5: 50
c0: -43
skew: 0.97
# Murphy_E = 1.174e-11
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8525768 hash collisions in 60029129 relations (53826931 unique)
Msieve: matrix is 2048869 x 2049094 (713.7 MB)

Sieving start time: 2021/05/14 16:51:53
Sieving end time  : 2021/05/15 03:07:06

Total sieving time: 10hrs 15min 13secs.

Total relation processing time: 1hrs 21min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 25sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:32:49 UTC 2012 年 9 月 27 日 (木) 3 時 32 分 49 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:11:57 UTC 2012 年 10 月 4 日 (木) 18 時 11 分 57 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovOctober 4, 2012 09:11:57 UTC 2012 年 10 月 4 日 (木) 18 時 11 分 57 秒 (日本時間)

16×10203-439

c192

name 名前Bob Backstrom
date 日付May 16, 2021 00:14:43 UTC 2021 年 5 月 16 日 (日) 9 時 14 分 43 秒 (日本時間)
composite number 合成数
109192515329431238189553880584466437080808220534911938825684967363892086197308888844157794175290170773094955638303674612036482028093097643560387431946814204510689459129804504674084107219969143<192>
prime factors 素因数
53175804506368952463413085878352032281868682641601971<53>
20074160406321912695806248387647822074283307913999912772059269323<65>
102291939032119483036396645179098817744489097215620607608918505002056042471<75>
factorization results 素因数分解の結果
Number: n
N=109192515329431238189553880584466437080808220534911938825684967363892086197308888844157794175290170773094955638303674612036482028093097643560387431946814204510689459129804504674084107219969143
  ( 192 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sun May 16 10:03:49 2021  found factor: 53175804506368952463413085878352032281868682641601971
Sun May 16 10:06:26 2021  found factor: 53175804506368952463413085878352032281868682641601971
Sun May 16 10:09:03 2021  p53 factor: 53175804506368952463413085878352032281868682641601971
Sun May 16 10:09:03 2021  p65 factor: 20074160406321912695806248387647822074283307913999912772059269323
Sun May 16 10:09:03 2021  p75 factor: 102291939032119483036396645179098817744489097215620607608918505002056042471
Sun May 16 10:09:03 2021  elapsed time 01:57:54 (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 = 16x10^203-43 = 17(202)3
#
n: 109192515329431238189553880584466437080808220534911938825684967363892086197308888844157794175290170773094955638303674612036482028093097643560387431946814204510689459129804504674084107219969143
m: 20000000000000000000000000000000000000000
deg: 5
c5: 500
c0: -43
skew: 0.61
# Murphy_E = 9.992e-12
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10636954 hash collisions in 67844325 relations (59737751 unique)
Msieve: matrix is 2226257 x 2226483 (765.1 MB)

Sieving start time : 2021/05/15 18:10:24
Sieving end time  : 2021/05/16 08:09:26

Total sieving time: 13hrs 59min 2secs.

Total relation processing time: 1hrs 32min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 53sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:32:58 UTC 2012 年 9 月 27 日 (木) 3 時 32 分 58 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:12:07 UTC 2012 年 10 月 4 日 (木) 18 時 12 分 7 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovOctober 4, 2012 09:12:07 UTC 2012 年 10 月 4 日 (木) 18 時 12 分 7 秒 (日本時間)

16×10205-439

c195

name 名前Bob Backstrom
date 日付June 26, 2021 13:13:20 UTC 2021 年 6 月 26 日 (土) 22 時 13 分 20 秒 (日本時間)
composite number 合成数
283106236023149401314436802250981394142815153339738246964030575195600496510919085579424801821060362080826907591218545538402813006001621898537176450972774671597404396532179784067803666946906998799<195>
prime factors 素因数
615331488244864361838357163061718059345122753<45>
162268474356032166376184223469164309445080465493079789400277<60>
2835346517195229914528579190259826203850706099048251304125309937391948438708855667588712979<91>
factorization results 素因数分解の結果
#
# N = 16x10^205-43 = 17(204)3
#
n: 283106236023149401314436802250981394142815153339738246964030575195600496510919085579424801821060362080826907591218545538402813006001621898537176450972774671597404396532179784067803666946906998799
m: 100000000000000000000000000000000000000000
deg: 5
c5: 16
c0: -43
skew: 1.22
# Murphy_E = 9.375e-12
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2831062360231494013144368022509813941428151533397382469640305751956004965109190855794248018210603620808269075912185455384028130060016218985371764509727746715974043965321797840678036669469
06998799 (195 digits)
Using B1=39830000, B2=192393080896, polynomial Dickson(12), sigma=1:3312435268
Step 1 took 128682ms
Step 2 took 38451ms
********** Factor found in step 2: 615331488244864361838357163061718059345122753
Found prime factor of 45 digits: 615331488244864361838357163061718059345122753
Composite cofactor 460087353615959281253889553766309675095503011290804319438854889614984791670042240703713849593813573276506750146875850407015242652016589522288696095183 has 150 digits



Number: n
N=460087353615959281253889553766309675095503011290804319438854889614984791670042240703713849593813573276506750146875850407015242652016589522288696095183
  ( 150 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Jun 26 23:02:49 2021  p60 factor: 162268474356032166376184223469164309445080465493079789400277
Sat Jun 26 23:02:49 2021  p91 factor: 2835346517195229914528579190259826203850706099048251304125309937391948438708855667588712979
Sat Jun 26 23:02:49 2021  elapsed time 02:19:30 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 16x10^205-43 = 17(204)3
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 28310623602314940131443680225098139414281515333973824696403057519560049651091908557942480182106036208082690759121854553840281300600162189853717645097277467159740439653217978406780366694
6906998799 (195 digits)
# Using B1=39830000, B2=192393080896, polynomial Dickson(12), sigma=1:3312435268
# Step 1 took 128682ms
# Step 2 took 38451ms
# ********** Factor found in step 2: 615331488244864361838357163061718059345122753
# Found prime factor of 45 digits: 615331488244864361838357163061718059345122753
# Composite cofactor 460087353615959281253889553766309675095503011290804319438854889614984791670042240703713849593813573276506750146875850407015242652016589522288696095183 has 150 digits
#
n: 460087353615959281253889553766309675095503011290804319438854889614984791670042240703713849593813573276506750146875850407015242652016589522288696095183
m: 100000000000000000000000000000000000000000
deg: 5
c5: 16
c0: -43
skew: 1.22
# Murphy_E = 9.375e-12
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7871803 hash collisions in 55908598 relations (50122646 unique)
Msieve: matrix is 2339613 x 2339839 (813.4 MB)

Sieving start time : 2021/06/26 09:26:51
Sieving end time  : 2021/06/26 20:41:01

Total sieving time: 11hrs 14min 10secs.

Total relation processing time: 1hrs 46min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 56sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19100000,19100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:33:08 UTC 2012 年 9 月 27 日 (木) 3 時 33 分 8 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:12:18 UTC 2012 年 10 月 4 日 (木) 18 時 12 分 18 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovOctober 4, 2012 09:12:18 UTC 2012 年 10 月 4 日 (木) 18 時 12 分 18 秒 (日本時間)

16×10206-439

c199

name 名前Warut Roonguthai
date 日付September 26, 2012 03:16:57 UTC 2012 年 9 月 26 日 (水) 12 時 16 分 57 秒 (日本時間)
composite number 合成数
1924177203217502808429830429226196695620831367049721161047514228409505417585255334111742384344445941334047472460535477325653980598836343974946048686900166845044507764065237174015924998035565401858931<199>
prime factors 素因数
6039870937413264804004048285369<31>
composite cofactor 合成数の残り
318579192031805702320264361703323611688950950997584047949005277701093862636205442457448143088380947945094328529346678624069652239275816832529612199769383492485735394699<168>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4049150234
Step 1 took 14852ms
Step 2 took 8548ms
********** Factor found in step 2: 6039870937413264804004048285369
Found probable prime factor of 31 digits: 6039870937413264804004048285369
Composite cofactor 318579192031805702320264361703323611688950950997584047949005277701093862636205442457448143088380947945094328529346678624069652239275816832529612199769383492485735394699 has 168 digits
software ソフトウェア
GMP-ECM 6.3

c168

name 名前Dmitry Domanov
date 日付December 25, 2015 06:14:26 UTC 2015 年 12 月 25 日 (金) 15 時 14 分 26 秒 (日本時間)
composite number 合成数
318579192031805702320264361703323611688950950997584047949005277701093862636205442457448143088380947945094328529346678624069652239275816832529612199769383492485735394699<168>
prime factors 素因数
19489866675704919625459688730785057115223<41>
composite cofactor 合成数の残り
16345888729394459265039270575593367652644188308903471642620310242994653290438617433026316341285431834136212566832882833030981613<128>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1998155347
Step 1 took 56799ms
********** Factor found in step 1: 19489866675704919625459688730785057115223
Found probable prime factor of 41 digits: 19489866675704919625459688730785057115223
Composite cofactor 16345888729394459265039270575593367652644188308903471642620310242994653290438617433026316341285431834136212566832882833030981613 has 128 digits

c128

name 名前Dmitry Domanov
date 日付December 26, 2015 13:27:02 UTC 2015 年 12 月 26 日 (土) 22 時 27 分 2 秒 (日本時間)
composite number 合成数
16345888729394459265039270575593367652644188308903471642620310242994653290438617433026316341285431834136212566832882833030981613<128>
prime factors 素因数
206476472141702669315659072768325194034747127312541927<54>
79165866017782620441294870319041483221188192549898047202877191865122155019<74>
factorization results 素因数分解の結果
N=16345888729394459265039270575593367652644188308903471642620310242994653290438617433026316341285431834136212566832882833030981613
  ( 128 digits)
Divisors found:
 r1=206476472141702669315659072768325194034747127312541927 (pp54)
 r2=79165866017782620441294870319041483221188192549898047202877191865122155019 (pp74)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 77.96 hours.
Scaled time: 146.72 units (timescale=1.882).
Factorization parameters were as follows:
n: 16345888729394459265039270575593367652644188308903471642620310242994653290438617433026316341285431834136212566832882833030981613
skew: 58540.23
c0: 32089547963827124242310207187
c1: 714709924638845847067080
c2: -366775353106586017691
c3: 178226564686048
c4: 106204228536
c5: 59400
Y0: -3075558321707293731162190
Y1: 8945569013899
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 240000
type: gnfs
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [4100000, 8420001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1289828 x 1290065
Total sieving time: 75.91 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 1.64 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8200000,8200000,28,28,56,56,2.5,2.5,100000
total time: 77.96 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
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:33:16 UTC 2012 年 9 月 27 日 (木) 3 時 33 分 16 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:12:29 UTC 2012 年 10 月 4 日 (木) 18 時 12 分 29 秒 (日本時間)
4511e61200 / 4208400Dmitry DomanovOctober 4, 2012 09:12:29 UTC 2012 年 10 月 4 日 (木) 18 時 12 分 29 秒 (日本時間)
800Dmitry DomanovDecember 24, 2015 12:01:08 UTC 2015 年 12 月 24 日 (木) 21 時 1 分 8 秒 (日本時間)

16×10207-439

c188

name 名前Dmitry Domanov
date 日付September 27, 2012 10:12:11 UTC 2012 年 9 月 27 日 (木) 19 時 12 分 11 秒 (日本時間)
composite number 合成数
11379210701660963102709805843179818278626265712905990649036926693467353991726454682533905665081271070720559146825843647142979034506613290205708213115114900656803592060396267476612410525451<188>
prime factors 素因数
12213910585971781091869463815009610019147433<44>
composite cofactor 合成数の残り
931659898896794947259627755244639762752641379062874211307786377038787673647366034432917787864439981677678580281616278593397837243936496996121747<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4125738644
Step 1 took 22816ms
Step 2 took 9218ms
********** Factor found in step 2: 12213910585971781091869463815009610019147433
Found probable prime factor of 44 digits: 12213910585971781091869463815009610019147433

c144

name 名前Erik Branger
date 日付March 10, 2019 20:59:47 UTC 2019 年 3 月 11 日 (月) 5 時 59 分 47 秒 (日本時間)
composite number 合成数
931659898896794947259627755244639762752641379062874211307786377038787673647366034432917787864439981677678580281616278593397837243936496996121747<144>
prime factors 素因数
175098041834370376087036197510768101486518719276574733660147127948091<69>
5320789936520680130537556494558202873133097862612325644607140066326011246217<76>
factorization results 素因数分解の結果
Number: 17773_207
N = 931659898896794947259627755244639762752641379062874211307786377038787673647366034432917787864439981677678580281616278593397837243936496996121747 (144 digits)
Divisors found:
r1=175098041834370376087036197510768101486518719276574733660147127948091 (pp69)
r2=5320789936520680130537556494558202873133097862612325644607140066326011246217 (pp76)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 427.18 hours.
Factorization parameters were as follows:
# Murphy_E = 1.286e-11, selected by Maksym Voznyy
# selected by CADO-NFS, optimized by Msieve
n: 931659898896794947259627755244639762752641379062874211307786377038787673647366034432917787864439981677678580281616278593397837243936496996121747
Y0: -10793471449187363202169357918
Y1: 619919962588674937
c0: -645695858813425339680612624890610852
c1: 1625635127321970634672820050751
c2: -110893002857593119891148
c3: -384033839815117119
c4: -2756284416
c5: 12720
skew: 3168272.36
type: gnfs
# selected mechanically
rlim: 23000000
alim: 23000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23976033
Relations: 4797498 relations
Pruned matrix : 2974074 x 2974302
Polynomial selection time: 0.00 hours.
Total sieving time: 420.63 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 6.06 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: gnfs,143,5,65,2000,1e-05,0.28,250,20,50000,3600,23000000,23000000,28,28,56,56,2.6,2.6,100000
total time: 427.18 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:33:26 UTC 2012 年 9 月 27 日 (木) 3 時 33 分 26 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:12:44 UTC 2012 年 10 月 4 日 (木) 18 時 12 分 44 秒 (日本時間)
4511e64250400Dmitry DomanovOctober 4, 2012 09:12:44 UTC 2012 年 10 月 4 日 (木) 18 時 12 分 44 秒 (日本時間)
800Dmitry DomanovOctober 5, 2012 23:40:12 UTC 2012 年 10 月 6 日 (土) 8 時 40 分 12 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:01 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 1 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:13 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 13 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:56 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 56 秒 (日本時間)

16×10208-439

c174

composite cofactor 合成数の残り
120632453397685090887171763248567527573243515959098382548572563382959967595223796780133892036883014965259819782036564622492907679078835235263794903791752496236025408059112231<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:33:36 UTC 2012 年 9 月 27 日 (木) 3 時 33 分 36 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:12:54 UTC 2012 年 10 月 4 日 (木) 18 時 12 分 54 秒 (日本時間)
4511e61200 / 4208400Dmitry DomanovOctober 4, 2012 09:12:54 UTC 2012 年 10 月 4 日 (木) 18 時 12 分 54 秒 (日本時間)
800Dmitry DomanovDecember 24, 2015 19:15:46 UTC 2015 年 12 月 25 日 (金) 4 時 15 分 46 秒 (日本時間)

16×10211-439

c209

name 名前Warut Roonguthai
date 日付September 26, 2012 03:04:02 UTC 2012 年 9 月 26 日 (水) 12 時 4 分 2 秒 (日本時間)
composite number 合成数
47155909224874742116121426466254052460949012673150604185086943707633362805776598880047155909224874742116121426466254052460949012673150604185086943707633362805776598880047155909224874742116121426466254052460949<209>
prime factors 素因数
157137193225326507056737339806488431<36>
300093875020763782312005807338574862766376512838854781574450251482748948463635348755244173833030580813365361154918658061829745174205057410714605106085791209637209299608177979<174>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2666675417
Step 1 took 14649ms
Step 2 took 8596ms
********** Factor found in step 2: 157137193225326507056737339806488431
Found probable prime factor of 36 digits: 157137193225326507056737339806488431
Probable prime cofactor 300093875020763782312005807338574862766376512838854781574450251482748948463635348755244173833030580813365361154918658061829745174205057410714605106085791209637209299608177979 has 174 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)

16×10212-439

c160

composite cofactor 合成数の残り
7388548911385456540945670471024225234173118397039690818919439545034132763527659873527108419907192710088331048701242777160106218058382900693869114941089924468571<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:34:02 UTC 2012 年 9 月 27 日 (木) 3 時 34 分 2 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:13:04 UTC 2012 年 10 月 4 日 (木) 18 時 13 分 4 秒 (日本時間)
4511e61200 / 4208400Dmitry DomanovOctober 4, 2012 09:13:04 UTC 2012 年 10 月 4 日 (木) 18 時 13 分 4 秒 (日本時間)
800Dmitry DomanovDecember 24, 2015 13:22:48 UTC 2015 年 12 月 24 日 (木) 22 時 22 分 48 秒 (日本時間)

16×10215-439

c138

name 名前Warut Roonguthai
date 日付September 26, 2012 11:27:55 UTC 2012 年 9 月 26 日 (水) 20 時 27 分 55 秒 (日本時間)
composite number 合成数
935853592277072172748766559181590302684084701870077312948131324427148904270544522904931102836941862951799010245675178835236615629816663549<138>
prime factors 素因数
13210767071812336347626234026872725903<38>
70840215953386412595552072828857316128208112466054717604223703257722218190028460920052323791420111283<101>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4178400213
Step 1 took 7972ms
Step 2 took 6130ms
********** Factor found in step 2: 13210767071812336347626234026872725903
Found probable prime factor of 38 digits: 13210767071812336347626234026872725903
Probable prime cofactor 70840215953386412595552072828857316128208112466054717604223703257722218190028460920052323791420111283 has 101 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)

16×10217-439

c176

name 名前Dmitry Domanov
date 日付September 28, 2012 05:33:25 UTC 2012 年 9 月 28 日 (金) 14 時 33 分 25 秒 (日本時間)
composite number 合成数
18607416516415980175539749726700814261243143013846306212752401451192482195926260394552774459957598187499506630717680476057850580610163556246225292141745235767159285085486971297<176>
prime factors 素因数
1768651942598088327141117701561064641<37>
composite cofactor 合成数の残り
10520677397432041397390019758873519561237677750856937274163570508058716187713024934975546000720752530436183733091180902404069574063498376417<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1214817181
Step 1 took 22817ms
Step 2 took 8932ms
********** Factor found in step 2: 1768651942598088327141117701561064641
Found probable prime factor of 37 digits: 1768651942598088327141117701561064641

c140

name 名前Erik Branger
date 日付December 16, 2012 15:10:37 UTC 2012 年 12 月 17 日 (月) 0 時 10 分 37 秒 (日本時間)
composite number 合成数
10520677397432041397390019758873519561237677750856937274163570508058716187713024934975546000720752530436183733091180902404069574063498376417<140>
prime factors 素因数
880384698160515152031750794958743122853490192803<48>
11950091158347087375563013324796308448026776749342162365677002296192583199779572572197965739<92>
factorization results 素因数分解の結果
Number: 17773_217
N = 10520677397432041397390019758873519561237677750856937274163570508058716187713024934975546000720752530436183733091180902404069574063498376417 (140 digits)
Divisors found:
r1=880384698160515152031750794958743122853490192803 (pp48)
r2=11950091158347087375563013324796308448026776749342162365677002296192583199779572572197965739 (pp92)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 340.88 hours.
Factorization parameters were as follows:
# Murphy_E = 2.653e-11, selected by Erik Branger
n: 10520677397432041397390019758873519561237677750856937274163570508058716187713024934975546000720752530436183733091180902404069574063498376417
Y0: -1017469082996348274708533682
Y1: 109976096220197
c0: -2636615272663444778586412327699715
c1: -5388185706336461834283593198
c2: 1544929684852832920607
c3: -17187187295566102
c4: 61909948296
c5: 9648
skew: 934579.39
type: gnfs
# selected mechanically
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [9000000, 15200000)
Relations: 22167842
Relations in full relation-set: 3586062 relations
Pruned matrix : 2208672 x 2208898
Polynomial selection time: 0.00 hours.
Total sieving time: 336.42 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.02 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,18000000,18000000,28,28,55,55,2.6,2.6,100000
total time: 340.88 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:34:09 UTC 2012 年 9 月 27 日 (木) 3 時 34 分 9 秒 (日本時間)
403e61000Dmitry DomanovSeptember 29, 2012 23:43:43 UTC 2012 年 9 月 30 日 (日) 8 時 43 分 43 秒 (日本時間)
4511e61800 / 42081000Dmitry DomanovSeptember 29, 2012 23:43:43 UTC 2012 年 9 月 30 日 (日) 8 時 43 分 43 秒 (日本時間)
800Dmitry DomanovOctober 5, 2012 23:40:33 UTC 2012 年 10 月 6 日 (土) 8 時 40 分 33 秒 (日本時間)

16×10218-439

c214

name 名前Bob Backstrom
date 日付May 2, 2018 22:59:11 UTC 2018 年 5 月 3 日 (木) 7 時 59 分 11 秒 (日本時間)
composite number 合成数
8398024364768188283706258102781320694306664357209966355414888647445688401803475732333968433925918927572288619102356170710840274825347337038961584287296413518719721185591089696148980952230987660152949018743340629117<214>
prime factors 素因数
1753036759512040606237070263669113927983849066493839792509287852879245999206344791<82>
4790558052590857300011560567723363938252107900462336385542997653240614748743761974659767282311680666326733850299953610985617545645387<133>
factorization results 素因数分解の結果
Number: n
N=8398024364768188283706258102781320694306664357209966355414888647445688401803475732333968433925918927572288619102356170710840274825347337038961584287296413518719721185591089696148980952230987660152949018743340629117
  ( 214 digits)
SNFS difficulty: 219 digits.
Divisors found:

Thu May  3 08:42:30 2018  p82 factor: 1753036759512040606237070263669113927983849066493839792509287852879245999206344791
Thu May  3 08:42:30 2018  p133 factor: 4790558052590857300011560567723363938252107900462336385542997653240614748743761974659767282311680666326733850299953610985617545645387
Thu May  3 08:42:30 2018  elapsed time 09:26:34 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# 16x10^218-43 = 17(217)3
#
n: 8398024364768188283706258102781320694306664357209966355414888647445688401803475732333968433925918927572288619102356170710840274825347337038961584287296413518719721185591089696148980952230987660152949018743340629117
m: 2000000000000000000000000000000000000
deg: 6
c6: 25
c0: -43
skew: 1.09
# Murphy_E = 2.284e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 97600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15289231 hash collisions in 74753948 relations (59951116 unique)
Msieve: matrix is 4696319 x 4696544 (1324.9 MB)

Sieving start time: 2018/04/30 09:43:09
Sieving end time  : 2018/05/02 23:13:56

Total sieving time: -659hrs 30min 47secs.

Total relation processing time: 8hrs 48min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 44sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16292580K/16703460K available (12300K kernel code, 2482K rwdata, 4000K rodata, 2376K init, 2372K bss, 410880K reserved, 0K cma-reserved)
[    0.100643] x86/mm: Memory block size: 128MB
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.48 BogoMIPS (lpj=11976968)
[    0.098224] smpboot: Total of 16 processors activated (95815.74 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:34:26 UTC 2012 年 9 月 27 日 (木) 3 時 34 分 26 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:13:58 UTC 2012 年 10 月 4 日 (木) 18 時 13 分 58 秒 (日本時間)
4511e64350400Dmitry DomanovOctober 4, 2012 09:13:58 UTC 2012 年 10 月 4 日 (木) 18 時 13 分 58 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:54 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 54 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:04 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 4 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:28 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 28 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:36 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 36 秒 (日本時間)

16×10222-439

c220

name 名前Bob Backstrom
date 日付May 11, 2019 08:22:51 UTC 2019 年 5 月 11 日 (土) 17 時 22 分 51 秒 (日本時間)
composite number 合成数
1834651989450751060658181401215456943011122577686045178305240224744868707717004930627221648893475518862515766540534342391927531246416695333104001834651989450751060658181401215456943011122577686045178305240224744868707717<220>
prime factors 素因数
14982905807907041399590705229680691457145089433464739800122648685950508433727795349783305212499<95>
122449677851043846816645719283151159186816238860166313385576040457253842096985837533699743091755367885191007156236591150179783<126>
factorization results 素因数分解の結果
Number: n
N=1834651989450751060658181401215456943011122577686045178305240224744868707717004930627221648893475518862515766540534342391927531246416695333104001834651989450751060658181401215456943011122577686045178305240224744868707717
  ( 220 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sat May 11 17:58:55 2019  p95 factor: 14982905807907041399590705229680691457145089433464739800122648685950508433727795349783305212499
Sat May 11 17:58:55 2019  p126 factor: 122449677851043846816645719283151159186816238860166313385576040457253842096985837533699743091755367885191007156236591150179783
Sat May 11 17:58:55 2019  elapsed time 08:30:48 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.127).
Factorization parameters were as follows:
#
# N = 16x10^222-43 = 17(221)3
#
n: 1834651989450751060658181401215456943011122577686045178305240224744868707717004930627221648893475518862515766540534342391927531246416695333104001834651989450751060658181401215456943011122577686045178305240224744868707717
m: 10000000000000000000000000000000000000
deg: 6
c6: 16
c0: -43
skew: 1.18
# Murphy_E = 2.334e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 80100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12372804 hash collisions in 69810627 relations (58613759 unique)
Msieve: matrix is 4353261 x 4353486 (1514.6 MB)

Sieving start time: 2019/05/09 20:40:04
Sieving end time  : 2019/05/11 09:24:57

Total sieving time: 36hrs 44min 53secs.

Total relation processing time: 8hrs 2min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 40sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285084K/16703460K available (12300K kernel code, 2473K rwdata, 4276K rodata, 2408K init, 2416K bss, 418376K reserved, 0K cma-reserved)
[    0.076569] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.92 BogoMIPS (lpj=11977856)
[    0.074217] smpboot: Total of 16 processors activated (95822.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:34:37 UTC 2012 年 9 月 27 日 (木) 3 時 34 分 37 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:14:12 UTC 2012 年 10 月 4 日 (木) 18 時 14 分 12 秒 (日本時間)
4511e64350400Dmitry DomanovOctober 4, 2012 09:14:12 UTC 2012 年 10 月 4 日 (木) 18 時 14 分 12 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:13 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 13 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:15 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 15 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:33 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 33 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:41 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 41 秒 (日本時間)

16×10223-439

c216

name 名前Bob Backstrom
date 日付July 17, 2019 20:14:00 UTC 2019 年 7 月 18 日 (木) 5 時 14 分 0 秒 (日本時間)
composite number 合成数
117719293199561042707851049804801436382562990675948470948625466233974395301797110161014882100268875059417617655906878264947815776748944999510409138310938109660632104207137226129807476872188932714383830478720301639679<216>
prime factors 素因数
97931411298392321876356152179042483607473143<44>
332264253820034250508111480262159559782597201874406457397847<60>
3617778819561494594780458191524969687635220641147279307942609086323428458742540132297899431554510257017106146799<112>
factorization results 素因数分解の結果
Date: Tue 16/07 Jul/2019 17:53:12 D:\Perl\Lwa

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 117719293199561042707851049804801436382562990675948470948625466233974395301797110161014882100268875059417617655906878264947815776748944999510409138310938109660632104207137226129807476872188932714383830478720301639679 (216 digits)
Using B1=45720000, B2=240493423186, polynomial Dickson(12), sigma=1:907567862
Step 1 took 636594ms
Step 2 took 148641ms
********** Factor found in step 2: 97931411298392321876356152179042483607473143
Found probable prime factor of 44 digits: 97931411298392321876356152179042483607473143
Composite cofactor 1202058579967524331901497140183101204146239261205387559044776575123889420963177289807812976520700138812044325370323150413589176360030035990608692599946926037920110328541753 has 172 digits


Number: n
N=117719293199561042707851049804801436382562990675948470948625466233974395301797110161014882100268875059417617655906878264947815776748944999510409138310938109660632104207137226129807476872188932714383830478720301639679
  ( 216 digits)
SNFS difficulty: 224 digits.
Divisors found:

Thu Jul 18 05:52:19 2019  found factor: 332264253820034250508111480262159559782597201874406457397847
Thu Jul 18 05:59:14 2019  found factor: 332264253820034250508111480262159559782597201874406457397847
Thu Jul 18 06:06:10 2019  p44 factor: 97931411298392321876356152179042483607473143
Thu Jul 18 06:06:10 2019  p60 factor: 332264253820034250508111480262159559782597201874406457397847
Thu Jul 18 06:06:10 2019  p112 factor: 3617778819561494594780458191524969687635220641147279307942609086323428458742540132297899431554510257017106146799
Thu Jul 18 06:06:10 2019  elapsed time 08:33:23 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 16x10^223-43 = 17(222)3
#
n: 117719293199561042707851049804801436382562990675948470948625466233974395301797110161014882100268875059417617655906878264947815776748944999510409138310938109660632104207137226129807476872188932714383830478720301639679
m: 20000000000000000000000000000000000000
deg: 6
c6: 5
c0: -86
skew: 1.61
# Murphy_E = 2.436e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 66700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12112460 hash collisions in 71140353 relations (60396984 unique)
Msieve: matrix is 4259203 x 4259430 (1479.3 MB)

Sieving start time: 2019/07/16 16:38:32
Sieving end time  : 2019/07/17 21:30:08

Total sieving time: 28hrs 51min 36secs.

Total relation processing time: 7hrs 50min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 50sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284124K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419336K reserved, 0K cma-reserved)
[    0.080566] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.41 BogoMIPS (lpj=11976828)
[    0.078213] smpboot: Total of 16 processors activated (95814.62 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:34:47 UTC 2012 年 9 月 27 日 (木) 3 時 34 分 47 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:14:25 UTC 2012 年 10 月 4 日 (木) 18 時 14 分 25 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovOctober 4, 2012 09:14:25 UTC 2012 年 10 月 4 日 (木) 18 時 14 分 25 秒 (日本時間)

16×10225-439

c167

composite cofactor 合成数の残り
44347463086448112508716233905173298487838290872184784069945536840274608134792548394280233663970140000654818503041434866901292525563137722731452992113992565140335026371<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:35:15 UTC 2012 年 9 月 27 日 (木) 3 時 35 分 15 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:14:35 UTC 2012 年 10 月 4 日 (木) 18 時 14 分 35 秒 (日本時間)
4511e61200 / 4208400Dmitry DomanovOctober 4, 2012 09:14:35 UTC 2012 年 10 月 4 日 (木) 18 時 14 分 35 秒 (日本時間)
800Dmitry DomanovDecember 24, 2015 13:23:37 UTC 2015 年 12 月 24 日 (木) 22 時 23 分 37 秒 (日本時間)

16×10226-439

c209

composite cofactor 合成数の残り
18970564983410389676688586384259851078830139443724700904340370166926253831294497718242409963310617371473636050900063995699628910725390695664793818123432683629259877554858719746823182358166816279527884779333341<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:35:24 UTC 2012 年 9 月 27 日 (木) 3 時 35 分 24 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:14:45 UTC 2012 年 10 月 4 日 (木) 18 時 14 分 45 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovOctober 4, 2012 09:14:45 UTC 2012 年 10 月 4 日 (木) 18 時 14 分 45 秒 (日本時間)

16×10228-439

c196

name 名前Warut Roonguthai
date 日付September 26, 2012 07:38:58 UTC 2012 年 9 月 26 日 (水) 16 時 38 分 58 秒 (日本時間)
composite number 合成数
1531522681073926274399437864264138528327883928717769258013368891912974222666317147891430305706877936966336981386276458547621188087211471367585313954251579320486390301183691130064557511933852043179<196>
prime factors 素因数
41151158838361125887034902582597<32>
37217000062857045227372621885761778832290702357051231177745578288439466688951052402027913832531142625681523426789048335901521194974102647392429258852489433954345007<164>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3254096872
Step 1 took 14788ms
Step 2 took 8705ms
********** Factor found in step 2: 41151158838361125887034902582597
Found probable prime factor of 32 digits: 41151158838361125887034902582597
Probable prime cofactor 37217000062857045227372621885761778832290702357051231177745578288439466688951052402027913832531142625681523426789048335901521194974102647392429258852489433954345007 has 164 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)

16×10229-439

c199

name 名前Warut Roonguthai
date 日付September 26, 2012 18:16:57 UTC 2012 年 9 月 27 日 (木) 3 時 16 分 57 秒 (日本時間)
composite number 合成数
3524162156283204798073693375792431572868420191032708007929179651460092566154431398817980227143033563222598308513773037373851828327779515786239820370394037309579288583840040190276314234087777817804053<199>
prime factors 素因数
1245481066924432036903271156687883584459674537<46>
composite cofactor 合成数の残り
2829558995212754051285749428223477954689620395780900180368811291248699109362727549044616156178575789251064763843977326584771909047397649540365814055453069<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=360508599
Step 1 took 14072ms
Step 2 took 8564ms
********** Factor found in step 2: 1245481066924432036903271156687883584459674537
Found probable prime factor of 46 digits: 1245481066924432036903271156687883584459674537
Composite cofactor 2829558995212754051285749428223477954689620395780900180368811291248699109362727549044616156178575789251064763843977326584771909047397649540365814055453069 has 154 digits
software ソフトウェア
GMP-ECM 6.3

c154

name 名前yoyo@Home
date 日付March 13, 2021 12:41:42 UTC 2021 年 3 月 13 日 (土) 21 時 41 分 42 秒 (日本時間)
composite number 合成数
2829558995212754051285749428223477954689620395780900180368811291248699109362727549044616156178575789251064763843977326584771909047397649540365814055453069<154>
prime factors 素因数
11401932521444543167330130396205815593956962779<47>
248164860640156568605668019465396520344672921270017011998986990648191499020889503595808332777456145188387511<108>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/core2/params.h
Running on ryzen_boinc_6
Input number is 2829558995212754051285749428223477954689620395780900180368811291248699109362727549044616156178575789251064763843977326584771909047397649540365814055453069 (154 digits)
[Sat Mar 13 03:13:04 2021]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:15174646601557535995
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 137900ms
Using 19 small primes for NTT
Estimated memory usage: 212.58MB
Initializing tables of differences for F took 50ms
Computing roots of F took 2341ms
Building F from its roots took 2402ms
Computing 1/F took 1089ms
Initializing table of differences for G took 68ms
Computing roots of G took 1898ms
Building G from its roots took 2687ms
Computing roots of G took 1886ms
Building G from its roots took 2659ms
Computing G * H took 525ms
Reducing  G * H mod F took 574ms
Computing roots of G took 1831ms
Building G from its roots took 2654ms
Computing G * H took 555ms
Reducing  G * H mod F took 600ms
Computing roots of G took 1810ms
Building G from its roots took 2454ms
Computing G * H took 544ms
Reducing  G * H mod F took 596ms
Computing roots of G took 1894ms
Building G from its roots took 2659ms
Computing G * H took 546ms
Reducing  G * H mod F took 600ms
Computing polyeval(F,G) took 5014ms
Computing product of all F(g_i) took 25ms
Step 2 took 38173ms
********** Factor found in step 2: 11401932521444543167330130396205815593956962779
Found prime factor of 47 digits: 11401932521444543167330130396205815593956962779
Prime cofactor 248164860640156568605668019465396520344672921270017011998986990648191499020889503595808332777456145188387511 has 108 digits
Peak memory usage: 302MB
software ソフトウェア
GMP-ECM 7.0.5-dev

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:15:37 UTC 2012 年 9 月 27 日 (木) 3 時 15 分 37 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:14:57 UTC 2012 年 10 月 4 日 (木) 18 時 14 分 57 秒 (日本時間)
4511e64246400Dmitry DomanovOctober 4, 2012 09:14:57 UTC 2012 年 10 月 4 日 (木) 18 時 14 分 57 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:45 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 45 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:41 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 41 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:39 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 39 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:39 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 39 秒 (日本時間)
1296Ignacio SantosJanuary 13, 2016 06:33:51 UTC 2016 年 1 月 13 日 (水) 15 時 33 分 51 秒 (日本時間)

16×10230-439

c192

composite cofactor 合成数の残り
499261906720485579474836187332707154748656566069876918651519465997967613366626359605229219762342280516896500395046204358749838010603422998424908991186085055500409373427737807355065513770845617<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:35:32 UTC 2012 年 9 月 27 日 (木) 3 時 35 分 32 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:15:08 UTC 2012 年 10 月 4 日 (木) 18 時 15 分 8 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovOctober 4, 2012 09:15:08 UTC 2012 年 10 月 4 日 (木) 18 時 15 分 8 秒 (日本時間)

16×10232-439

c193

name 名前Warut Roonguthai
date 日付September 26, 2012 09:30:36 UTC 2012 年 9 月 26 日 (水) 18 時 30 分 36 秒 (日本時間)
composite number 合成数
1042548130551823614251289705046527168958583867780826061798989681058653504121045265861429104546201830537901625832513986302337264470496009118379537236469866744549081378139595104068149034760262531<193>
prime factors 素因数
1293219323743481593044954176836674989<37>
composite cofactor 合成数の残り
806164980224668967845911810470394984415645743346805214549529109048878741761850256330276511429638085801371316293875478836230705173145228419970186813247005679<156>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=702835683
Step 1 took 12932ms
Step 2 took 8050ms
********** Factor found in step 2: 1293219323743481593044954176836674989
Found probable prime factor of 37 digits: 1293219323743481593044954176836674989
Composite cofactor 806164980224668967845911810470394984415645743346805214549529109048878741761850256330276511429638085801371316293875478836230705173145228419970186813247005679 has 156 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:35:39 UTC 2012 年 9 月 27 日 (木) 3 時 35 分 39 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:15:17 UTC 2012 年 10 月 4 日 (木) 18 時 15 分 17 秒 (日本時間)
4511e64214400Dmitry DomanovOctober 4, 2012 09:15:17 UTC 2012 年 10 月 4 日 (木) 18 時 15 分 17 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:13 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 13 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:05 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 5 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:58 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 58 秒 (日本時間)
1664Ignacio SantosJanuary 23, 2016 15:20:36 UTC 2016 年 1 月 24 日 (日) 0 時 20 分 36 秒 (日本時間)

16×10233-439

c189

composite cofactor 合成数の残り
200133591108744302774356579570283093970163594908843694656877446697058974248645758303013313458353663443805162184231745390773484631408508785990255048153406221829812703702434647925025808800073<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:35:50 UTC 2012 年 9 月 27 日 (木) 3 時 35 分 50 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:15:31 UTC 2012 年 10 月 4 日 (木) 18 時 15 分 31 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovOctober 4, 2012 09:15:31 UTC 2012 年 10 月 4 日 (木) 18 時 15 分 31 秒 (日本時間)

16×10234-439

c206

composite cofactor 合成数の残り
42143348122523493165194507103325687782696122297126476313523806623000371997959305991560411528818689790978459897642120916271658029212122203002435471743284848085198205537200324778986546195499949001434970834469<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:36:00 UTC 2012 年 9 月 27 日 (木) 3 時 36 分 0 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:15:42 UTC 2012 年 10 月 4 日 (木) 18 時 15 分 42 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovOctober 4, 2012 09:15:42 UTC 2012 年 10 月 4 日 (木) 18 時 15 分 42 秒 (日本時間)

16×10237-439

c178

composite cofactor 合成数の残り
1091930143092514839224739927901063926223291322026109115788603880151208239919040346691147169840242400942563495004260356408840337818807790430765510687552852822422858784984777432137<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:36:45 UTC 2012 年 9 月 27 日 (木) 3 時 36 分 45 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:15:52 UTC 2012 年 10 月 4 日 (木) 18 時 15 分 52 秒 (日本時間)
4511e61200 / 4208400Dmitry DomanovOctober 4, 2012 09:15:52 UTC 2012 年 10 月 4 日 (木) 18 時 15 分 52 秒 (日本時間)
800Dmitry DomanovDecember 24, 2015 17:23:28 UTC 2015 年 12 月 25 日 (金) 2 時 23 分 28 秒 (日本時間)

16×10238-439

c202

name 名前Warut Roonguthai
date 日付September 26, 2012 07:47:51 UTC 2012 年 9 月 26 日 (水) 16 時 47 分 51 秒 (日本時間)
composite number 合成数
5076374285182878444666283424177882392033268602898145007621366248633569467005149709854946464666732021022864138308920856571273646154272819769320685591723950194017430298232586507680128651628863164459073367<202>
prime factors 素因数
5466708648200775003558776911341571<34>
composite cofactor 合成数の残り
928597920954436639986449039449919623425153298653652041596598448976817523013422619447895814452638200949648768250623070576920273109223128948176482663761511263379126664477<168>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2115997816
Step 1 took 9984ms
Step 2 took 5974ms
********** Factor found in step 2: 5466708648200775003558776911341571
Found probable prime factor of 34 digits: 5466708648200775003558776911341571
Composite cofactor 928597920954436639986449039449919623425153298653652041596598448976817523013422619447895814452638200949648768250623070576920273109223128948176482663761511263379126664477 has 168 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:37:11 UTC 2012 年 9 月 27 日 (木) 3 時 37 分 11 秒 (日本時間)
403e62045Pawel ApostolOctober 1, 2012 08:07:31 UTC 2012 年 10 月 1 日 (月) 17 時 7 分 31 秒 (日本時間)
4511e61000 / 3977400Dmitry DomanovOctober 4, 2012 09:16:15 UTC 2012 年 10 月 4 日 (木) 18 時 16 分 15 秒 (日本時間)
600Dmitry DomanovDecember 24, 2015 13:24:10 UTC 2015 年 12 月 24 日 (木) 22 時 24 分 10 秒 (日本時間)

16×10239-439

c188

composite cofactor 合成数の残り
23991678319983102608353343974891233049478264212251113253939232085038708614164718690489146211150534415824995640479659595171810921172585471424144164720896422354012740392723738829182374064483<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:37:20 UTC 2012 年 9 月 27 日 (木) 3 時 37 分 20 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:16:39 UTC 2012 年 10 月 4 日 (木) 18 時 16 分 39 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovOctober 4, 2012 09:16:39 UTC 2012 年 10 月 4 日 (木) 18 時 16 分 39 秒 (日本時間)

16×10240-439

c190

composite cofactor 合成数の残り
5550456342689688370519301501498660399211373931245738580827355399101876498230472190738517640016428023643850931644908977017123110341638202912015669766584367755856042290971334750235762905643651<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:37:27 UTC 2012 年 9 月 27 日 (木) 3 時 37 分 27 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:16:49 UTC 2012 年 10 月 4 日 (木) 18 時 16 分 49 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovOctober 4, 2012 09:16:49 UTC 2012 年 10 月 4 日 (木) 18 時 16 分 49 秒 (日本時間)

16×10242-439

c210

name 名前Warut Roonguthai
date 日付September 26, 2012 07:45:25 UTC 2012 年 9 月 26 日 (水) 16 時 45 分 25 秒 (日本時間)
composite number 合成数
569134999407486863172263146343238131981241518990616191564691625507921533978680260380790284794111308794145670185029846441922321132049482818445710182576657476931998608462734784316390561624550789731706997263895871<210>
prime factors 素因数
724107374708850690779104787580471818876213<42>
composite cofactor 合成数の残り
785981498443272772224459307200606332181772457160468653770815338716056471399337438692338450997986393729117752328543514330138135986934577657794634653089741365567024319267<168>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1523831584
Step 1 took 8003ms
Step 2 took 4960ms
********** Factor found in step 2: 724107374708850690779104787580471818876213
Found probable prime factor of 42 digits: 724107374708850690779104787580471818876213
Composite cofactor 785981498443272772224459307200606332181772457160468653770815338716056471399337438692338450997986393729117752328543514330138135986934577657794634653089741365567024319267 has 168 digits
software ソフトウェア
GMP-ECM 6.3

c168

name 名前Dmitry Domanov
date 日付October 4, 2012 06:33:46 UTC 2012 年 10 月 4 日 (木) 15 時 33 分 46 秒 (日本時間)
composite number 合成数
785981498443272772224459307200606332181772457160468653770815338716056471399337438692338450997986393729117752328543514330138135986934577657794634653089741365567024319267<168>
prime factors 素因数
1279041400774516956611042175930436577591<40>
32844991625986388094811833485957191048683233453<47>
18709344223828366862875792796889140652547904417854058201092966950423866447974289129<83>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=909426685
Step 1 took 74299ms
Step 2 took 26892ms
********** Factor found in step 2: 1279041400774516956611042175930436577591
Found probable prime factor of 40 digits: 1279041400774516956611042175930436577591
Composite cofactor 614508254359339509452703782143267583331974206988734506356354021848971028087826282807295438381094069413095209940302835608827032437 has 129 digits

Thu Oct  4 04:58:52 2012  commencing relation filtering
Thu Oct  4 04:58:52 2012  estimated available RAM is 48158.0 MB
Thu Oct  4 04:58:52 2012  commencing duplicate removal, pass 1
Thu Oct  4 05:01:36 2012  found 1680984 hash collisions in 12182514 relations
Thu Oct  4 05:01:58 2012  added 165 free relations
Thu Oct  4 05:01:58 2012  commencing duplicate removal, pass 2
Thu Oct  4 05:02:05 2012  found 1437126 duplicates and 10745553 unique relations
Thu Oct  4 05:02:05 2012  memory use: 49.3 MB
Thu Oct  4 05:02:05 2012  reading ideals above 720000
Thu Oct  4 05:02:05 2012  commencing singleton removal, initial pass
Thu Oct  4 05:04:49 2012  memory use: 344.5 MB
Thu Oct  4 05:04:49 2012  reading all ideals from disk
Thu Oct  4 05:04:49 2012  memory use: 318.6 MB
Thu Oct  4 05:04:50 2012  commencing in-memory singleton removal
Thu Oct  4 05:04:50 2012  begin with 10745553 relations and 11497798 unique ideals
Thu Oct  4 05:04:59 2012  reduce to 4587583 relations and 4362503 ideals in 23 passes
Thu Oct  4 05:04:59 2012  max relations containing the same ideal: 82
Thu Oct  4 05:05:01 2012  removing 483787 relations and 438635 ideals in 45152 cliques
Thu Oct  4 05:05:01 2012  commencing in-memory singleton removal
Thu Oct  4 05:05:02 2012  begin with 4103796 relations and 4362503 unique ideals
Thu Oct  4 05:05:04 2012  reduce to 4065501 relations and 3885045 ideals in 10 passes
Thu Oct  4 05:05:04 2012  max relations containing the same ideal: 75
Thu Oct  4 05:05:06 2012  removing 351951 relations and 306799 ideals in 45152 cliques
Thu Oct  4 05:05:06 2012  commencing in-memory singleton removal
Thu Oct  4 05:05:06 2012  begin with 3713550 relations and 3885045 unique ideals
Thu Oct  4 05:05:08 2012  reduce to 3689991 relations and 3554430 ideals in 8 passes
Thu Oct  4 05:05:08 2012  max relations containing the same ideal: 69
Thu Oct  4 05:05:12 2012  relations with 0 large ideals: 517
Thu Oct  4 05:05:12 2012  relations with 1 large ideals: 2188
Thu Oct  4 05:05:12 2012  relations with 2 large ideals: 32386
Thu Oct  4 05:05:12 2012  relations with 3 large ideals: 188326
Thu Oct  4 05:05:12 2012  relations with 4 large ideals: 576475
Thu Oct  4 05:05:12 2012  relations with 5 large ideals: 1005728
Thu Oct  4 05:05:12 2012  relations with 6 large ideals: 1028415
Thu Oct  4 05:05:12 2012  relations with 7+ large ideals: 855956
Thu Oct  4 05:05:12 2012  commencing 2-way merge
Thu Oct  4 05:05:15 2012  reduce to 2165364 relation sets and 2029804 unique ideals
Thu Oct  4 05:05:15 2012  ignored 1 oversize relation sets
Thu Oct  4 05:05:15 2012  commencing full merge
Thu Oct  4 05:05:47 2012  memory use: 232.2 MB
Thu Oct  4 05:05:47 2012  found 1085093 cycles, need 1068004
Thu Oct  4 05:05:48 2012  weight of 1068004 cycles is about 75020160 (70.24/cycle)
Thu Oct  4 05:05:48 2012  distribution of cycle lengths:
Thu Oct  4 05:05:48 2012  1 relations: 148303
Thu Oct  4 05:05:48 2012  2 relations: 130383
Thu Oct  4 05:05:48 2012  3 relations: 124610
Thu Oct  4 05:05:48 2012  4 relations: 108375
Thu Oct  4 05:05:48 2012  5 relations: 96502
Thu Oct  4 05:05:48 2012  6 relations: 80361
Thu Oct  4 05:05:48 2012  7 relations: 70792
Thu Oct  4 05:05:48 2012  8 relations: 59269
Thu Oct  4 05:05:48 2012  9 relations: 49329
Thu Oct  4 05:05:48 2012  10+ relations: 200080
Thu Oct  4 05:05:48 2012  heaviest cycle: 22 relations
Thu Oct  4 05:05:48 2012  commencing cycle optimization
Thu Oct  4 05:05:55 2012  start with 6175972 relations
Thu Oct  4 05:06:04 2012  pruned 133572 relations
Thu Oct  4 05:06:04 2012  memory use: 209.1 MB
Thu Oct  4 05:06:04 2012  distribution of cycle lengths:
Thu Oct  4 05:06:04 2012  1 relations: 148303
Thu Oct  4 05:06:04 2012  2 relations: 133300
Thu Oct  4 05:06:04 2012  3 relations: 128770
Thu Oct  4 05:06:04 2012  4 relations: 110546
Thu Oct  4 05:06:04 2012  5 relations: 98053
Thu Oct  4 05:06:04 2012  6 relations: 81193
Thu Oct  4 05:06:04 2012  7 relations: 70866
Thu Oct  4 05:06:04 2012  8 relations: 58807
Thu Oct  4 05:06:04 2012  9 relations: 48956
Thu Oct  4 05:06:04 2012  10+ relations: 189210
Thu Oct  4 05:06:04 2012  heaviest cycle: 22 relations
Thu Oct  4 05:06:06 2012  RelProcTime: 434
Thu Oct  4 05:06:06 2012  
Thu Oct  4 05:06:06 2012  commencing linear algebra
Thu Oct  4 05:06:06 2012  read 1068004 cycles
Thu Oct  4 05:06:11 2012  cycles contain 3552064 unique relations
Thu Oct  4 05:07:01 2012  read 3552064 relations
Thu Oct  4 05:07:05 2012  using 20 quadratic characters above 134217158
Thu Oct  4 05:07:24 2012  building initial matrix
Thu Oct  4 05:08:27 2012  memory use: 453.9 MB
Thu Oct  4 05:08:28 2012  read 1068004 cycles
Thu Oct  4 05:08:28 2012  matrix is 1067823 x 1068004 (321.1 MB) with weight 101130898 (94.69/col)
Thu Oct  4 05:08:28 2012  sparse part has weight 72439352 (67.83/col)
Thu Oct  4 05:08:52 2012  filtering completed in 2 passes
Thu Oct  4 05:08:53 2012  matrix is 1065118 x 1065298 (320.9 MB) with weight 101010547 (94.82/col)
Thu Oct  4 05:08:53 2012  sparse part has weight 72398259 (67.96/col)
Thu Oct  4 05:08:55 2012  matrix starts at (0, 0)
Thu Oct  4 05:08:56 2012  matrix is 1065118 x 1065298 (320.9 MB) with weight 101010547 (94.82/col)
Thu Oct  4 05:08:58 2012  sparse part has weight 72398259 (67.96/col)
Thu Oct  4 05:08:58 2012  saving the first 48 matrix rows for later
Thu Oct  4 05:08:59 2012  matrix includes 64 packed rows
Thu Oct  4 05:08:59 2012  matrix is 1065070 x 1065298 (310.2 MB) with weight 80516411 (75.58/col)
Thu Oct  4 05:08:59 2012  sparse part has weight 70663206 (66.33/col)
Thu Oct  4 05:08:59 2012  using block size 65536 for processor cache size 12288 kB
Thu Oct  4 05:09:20 2012  commencing Lanczos iteration (16 threads)
Thu Oct  4 05:09:20 2012  memory use: 363.1 MB
Thu Oct  4 05:09:27 2012  linear algebra at 0.1%, ETA 1h10m
Thu Oct  4 05:09:29 2012  checkpointing every 910000 dimensions
Thu Oct  4 06:27:18 2012  lanczos halted after 16843 iterations (dim = 1065069)
Thu Oct  4 06:27:20 2012  recovered 29 nontrivial dependencies
Thu Oct  4 06:27:20 2012  BLanczosTime: 4874
Thu Oct  4 06:27:20 2012  
Thu Oct  4 06:27:20 2012  commencing square root phase
Thu Oct  4 06:27:20 2012  reading relations for dependency 1
Thu Oct  4 06:27:21 2012  read 532618 cycles
Thu Oct  4 06:27:23 2012  cycles contain 1775134 unique relations
Thu Oct  4 06:27:49 2012  read 1775134 relations
Thu Oct  4 06:27:57 2012  multiplying 1775134 relations
Thu Oct  4 06:30:05 2012  multiply complete, coefficients have about 79.12 million bits
Thu Oct  4 06:30:06 2012  initial square root is modulo 477551
Thu Oct  4 06:32:42 2012  GCD is 1, no factor found
Thu Oct  4 06:32:42 2012  reading relations for dependency 2
Thu Oct  4 06:32:42 2012  read 534064 cycles
Thu Oct  4 06:32:44 2012  cycles contain 1777988 unique relations
Thu Oct  4 06:33:10 2012  read 1777988 relations
Thu Oct  4 06:33:18 2012  multiplying 1777988 relations
Thu Oct  4 06:35:26 2012  multiply complete, coefficients have about 79.24 million bits
Thu Oct  4 06:35:27 2012  initial square root is modulo 487783
Thu Oct  4 06:38:04 2012  sqrtTime: 644

prp47 = 32844991625986388094811833485957191048683233453
prp83 = 18709344223828366862875792796889140652547904417854058201092966950423866447974289129
NFS elapsed time = 35600.2951 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:37:37 UTC 2012 年 9 月 27 日 (木) 3 時 37 分 37 秒 (日本時間)

16×10244-439

c244

composite cofactor 合成数の残り
2539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:37:50 UTC 2012 年 9 月 27 日 (木) 3 時 37 分 50 秒 (日本時間)
403e61000Dmitry DomanovOctober 1, 2012 13:17:29 UTC 2012 年 10 月 1 日 (月) 22 時 17 分 29 秒 (日本時間)
4511e620001600Dmitry DomanovOctober 1, 2012 13:17:57 UTC 2012 年 10 月 1 日 (月) 22 時 17 分 57 秒 (日本時間)
400Dmitry DomanovOctober 3, 2012 12:40:52 UTC 2012 年 10 月 3 日 (水) 21 時 40 分 52 秒 (日本時間)
5043e6640Dmitry DomanovOctober 3, 2012 12:41:19 UTC 2012 年 10 月 3 日 (水) 21 時 41 分 19 秒 (日本時間)
5511e72675 / 17407yoyo@homeFebruary 3, 2013 11:55:06 UTC 2013 年 2 月 3 日 (日) 20 時 55 分 6 秒 (日本時間)

16×10245-439

c242

name 名前Warut Roonguthai
date 日付September 26, 2012 02:50:00 UTC 2012 年 9 月 26 日 (水) 11 時 50 分 0 秒 (日本時間)
composite number 合成数
43055891929711256424746373886601544630122978391324237776163181830413605661849788757030219854148166088103118861171658459137267565458410699389144533247221549473910820483840585560130244073087376550684857781006969672506122009633755819272893625037<242>
prime factors 素因数
1384672998065544466289248890779<31>
31094628110653151929789373593284075852676469144448797513919630297171131895534125039904443779228839456311758895086842243812141396392815580379839063226547342926671971785774453503710911353180566145656874362061861303<212>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1760154772
Step 1 took 13120ms
Step 2 took 7332ms
********** Factor found in step 2: 1384672998065544466289248890779
Found probable prime factor of 31 digits: 1384672998065544466289248890779
Probable prime cofactor 31094628110653151929789373593284075852676469144448797513919630297171131895534125039904443779228839456311758895086842243812141396392815580379839063226547342926671971785774453503710911353180566145656874362061861303 has 212 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)

16×10246-439

c217

composite cofactor 合成数の残り
1604826279964443013524658409023974271566091505582915782058436648905605356355058725029884292140327037456428403909198691518323204374345264181010647514781481924455906072793847192754180375265876825058678381789474816448409<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:37:57 UTC 2012 年 9 月 27 日 (木) 3 時 37 分 57 秒 (日本時間)
403e61000Dmitry DomanovOctober 4, 2012 09:17:11 UTC 2012 年 10 月 4 日 (木) 18 時 17 分 11 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovOctober 4, 2012 09:17:11 UTC 2012 年 10 月 4 日 (木) 18 時 17 分 11 秒 (日本時間)

16×10247-439

c233

name 名前Dmitry Domanov
date 日付September 27, 2012 06:30:50 UTC 2012 年 9 月 27 日 (木) 15 時 30 分 50 秒 (日本時間)
composite number 合成数
93495045780600535581936327436636301995826905692730106856102086600894834964698051787740510985653699799610035330596708247814526245994741029337917501371203489055370302336069298119814215346535705159190218872776314080768365731834277697427<233>
prime factors 素因数
19650094153760130590837111766457751<35>
4757994798854938503575465197753626117183412828847569754578395002332105879271060307026505115328439385112178990204649993417400126092010601109653937801422278442870317517801159711823744833854755935800677<199>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3195633238
Step 1 took 35021ms
Step 2 took 12220ms
********** Factor found in step 2: 19650094153760130590837111766457751
Found probable prime factor of 35 digits: 19650094153760130590837111766457751

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:38:08 UTC 2012 年 9 月 27 日 (木) 3 時 38 分 8 秒 (日本時間)

16×10250-439

c166

composite cofactor 合成数の残り
5247343278635172465182201818995479524816976583579307614605241746818103077752726454741025459263988267198313792472083822569155903941051663897444949768657735505779444441<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 26, 2012 01:00:00 UTC 2012 年 9 月 26 日 (水) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 26, 2012 18:38:16 UTC 2012 年 9 月 27 日 (木) 3 時 38 分 16 秒 (日本時間)
403e61000Dmitry DomanovSeptember 27, 2012 10:58:49 UTC 2012 年 9 月 27 日 (木) 19 時 58 分 49 秒 (日本時間)
4511e61500Dmitry DomanovSeptember 27, 2012 10:58:49 UTC 2012 年 9 月 27 日 (木) 19 時 58 分 49 秒 (日本時間)
5043e6800 / 7172Dmitry DomanovSeptember 28, 2012 05:32:21 UTC 2012 年 9 月 28 日 (金) 14 時 32 分 21 秒 (日本時間)

16×10251-439

c217

composite cofactor 合成数の残り
2170395266408707002648201999883814894831440847065806136208162650147983127108741654330465832222081357826689422067039873530946231783915592401350847416088951281133612727353467728780874274086633261676256441892687512206461<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 17:33:27 UTC 2015 年 12 月 21 日 (月) 2 時 33 分 27 秒 (日本時間)
4511e64312600Dmitry DomanovDecember 21, 2015 22:47:35 UTC 2015 年 12 月 22 日 (火) 7 時 47 分 35 秒 (日本時間)
3712ebinaDecember 27, 2023 07:50:54 UTC 2023 年 12 月 27 日 (水) 16 時 50 分 54 秒 (日本時間)

16×10252-439

c214

composite cofactor 合成数の残り
2914910930516306455411724255054171631934317004031701059232551687293185709898828816682457752916087633425797299510327915118230201535323049245548794324016111672780163074724056424609912714668750881023073910706899000351<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 17:33:46 UTC 2015 年 12 月 21 日 (月) 2 時 33 分 46 秒 (日本時間)
4511e64312600Dmitry DomanovDecember 21, 2015 22:46:42 UTC 2015 年 12 月 22 日 (火) 7 時 46 分 42 秒 (日本時間)
3712ebinaDecember 27, 2023 21:50:24 UTC 2023 年 12 月 28 日 (木) 6 時 50 分 24 秒 (日本時間)

16×10253-439

c219

name 名前Dmitry Domanov
date 日付December 22, 2015 06:05:23 UTC 2015 年 12 月 22 日 (火) 15 時 5 分 23 秒 (日本時間)
composite number 合成数
967136395739410120850333832358883295615244654815396787086263692719927669092341072652033140517269131883491809979777726296110330285533680717174783696842508406677095196860833940635184463575423673735020600398977158746505099<219>
prime factors 素因数
213887353039125180967257918767035236631<39>
composite cofactor 合成数の残り
4521709123972829908711786201530473465661641610896030886616915572781792200757776699911773796666598614961320898672723981485233457439560066961947872651167250985604517833042763130598829<181>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3352624870
Step 1 took 97069ms
Step 2 took 28463ms
********** Factor found in step 2: 213887353039125180967257918767035236631
Found probable prime factor of 39 digits: 213887353039125180967257918767035236631

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 17:34:00 UTC 2015 年 12 月 21 日 (月) 2 時 34 分 0 秒 (日本時間)
4511e64312600Dmitry DomanovDecember 21, 2015 22:47:48 UTC 2015 年 12 月 22 日 (火) 7 時 47 分 48 秒 (日本時間)
3712ebinaDecember 28, 2023 07:51:11 UTC 2023 年 12 月 28 日 (木) 16 時 51 分 11 秒 (日本時間)

16×10254-439

c209

name 名前ebina
date 日付December 28, 2023 13:44:30 UTC 2023 年 12 月 28 日 (木) 22 時 44 分 30 秒 (日本時間)
composite number 合成数
17949040374403799253385866271730559135237875876820023233467164825295663420520396608027656010218003377910438219371769983605022048048952664980636292005355473879461656018115816821494411404473828839899383801273931<209>
prime factors 素因数
18453615041915392196067936978555384479751737<44>
972657137023531372185881050330225258438790388951405725826050106092121438406307621444820224551393361003211425644739245480002684860377020004481970813241301529401958563<165>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 17949040374403799253385866271730559135237875876820023233467164825295663420520396608027656010218003377910438219371769983605022048048952664980636292005355473879461656018115816821494411404473828839899383801273931 (209 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2431823411
Step 1 took 23047ms
Step 2 took 9437ms
********** Factor found in step 2: 18453615041915392196067936978555384479751737
Found prime factor of 44 digits: 18453615041915392196067936978555384479751737
Prime cofactor 972657137023531372185881050330225258438790388951405725826050106092121438406307621444820224551393361003211425644739245480002684860377020004481970813241301529401958563 has 165 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 17:34:14 UTC 2015 年 12 月 21 日 (月) 2 時 34 分 14 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 21, 2015 22:44:28 UTC 2015 年 12 月 22 日 (火) 7 時 44 分 28 秒 (日本時間)

16×10255-439

c203

composite cofactor 合成数の残り
59295657580831563038535397735506715910477648783487125451975588061180626597895106905932349498278722924473543227353945250803802500155182785538956368560938051691322274443620016466340672078394136683946315909<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:19:43 UTC 2015 年 12 月 21 日 (月) 7 時 19 分 43 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 21, 2015 22:44:42 UTC 2015 年 12 月 22 日 (火) 7 時 44 分 42 秒 (日本時間)

16×10258-439

c196

name 名前Dmitry Domanov
date 日付December 21, 2015 06:15:31 UTC 2015 年 12 月 21 日 (月) 15 時 15 分 31 秒 (日本時間)
composite number 合成数
1443519151634876891023584522952111596161996588208268765608311323725878850781867987170278543773558142459012514160183901458041977381811711341270522506653834636675516078151909977605817955402488831587<196>
prime factors 素因数
35803262068147308274107515799634610251<38>
composite cofactor 合成数の残り
40318090259130789957387324225567587982215043355222012232804516319863145818541872655513000812943990543024755421216054802208564975847294189794405574405048427337<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2051375553
Step 1 took 32441ms
Step 2 took 10702ms
********** Factor found in step 2: 35803262068147308274107515799634610251
Found probable prime factor of 38 digits: 35803262068147308274107515799634610251

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:20:00 UTC 2015 年 12 月 21 日 (月) 7 時 20 分 0 秒 (日本時間)
4511e63200600Dmitry DomanovDecember 21, 2015 22:44:55 UTC 2015 年 12 月 22 日 (火) 7 時 44 分 55 秒 (日本時間)
800Dmitry DomanovDecember 23, 2015 10:41:24 UTC 2015 年 12 月 23 日 (水) 19 時 41 分 24 秒 (日本時間)
1800Lionel DebrouxDecember 17, 2017 10:54:40 UTC 2017 年 12 月 17 日 (日) 19 時 54 分 40 秒 (日本時間)
5043e66810330Dmitry DomanovDecember 12, 2016 00:41:20 UTC 2016 年 12 月 12 日 (月) 9 時 41 分 20 秒 (日本時間)
6480ebinaJuly 16, 2023 19:41:43 UTC 2023 年 7 月 17 日 (月) 4 時 41 分 43 秒 (日本時間)

16×10259-439

c259

composite cofactor 合成数の残り
1367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 19, 2015 17:03:25 UTC 2015 年 12 月 20 日 (日) 2 時 3 分 25 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 22, 2015 11:01:44 UTC 2015 年 12 月 22 日 (火) 20 時 1 分 44 秒 (日本時間)
3800ebinaDecember 20, 2021 01:19:54 UTC 2021 年 12 月 20 日 (月) 10 時 19 分 54 秒 (日本時間)

16×10260-439

c225

composite cofactor 合成数の残り
177679213237013328167890493502329013491911175107106349797684745995654295953687291599215383463370989454848629752722154099085541065801242680966328191819695622214280770773860109117662039887248029078583788592655125679518018325609<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:21:53 UTC 2015 年 12 月 21 日 (月) 7 時 21 分 53 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 22, 2015 12:47:13 UTC 2015 年 12 月 22 日 (火) 21 時 47 分 13 秒 (日本時間)

16×10261-439

c232

composite cofactor 合成数の残り
4616646355356652646885969844117325082570151763010213954808647484935251790042222871913484705282631287324778862038409319286970840405328943876116884039846065392185963284954189647648392343776556176494601821199081342218178888731127238881<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:22:25 UTC 2015 年 12 月 21 日 (月) 7 時 22 分 25 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 22, 2015 15:54:07 UTC 2015 年 12 月 23 日 (水) 0 時 54 分 7 秒 (日本時間)

16×10262-439

c164

composite cofactor 合成数の残り
12428078339470206083881411792764235921530022715196026995237763846207125005685382420597968348896381164109804347828921891719511683155884061993100665812295920162371823<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 19, 2015 16:57:56 UTC 2015 年 12 月 20 日 (日) 1 時 57 分 56 秒 (日本時間)
4511e61400600Dmitry DomanovDecember 19, 2015 20:52:07 UTC 2015 年 12 月 20 日 (日) 5 時 52 分 7 秒 (日本時間)
800Dmitry DomanovDecember 22, 2015 12:45:57 UTC 2015 年 12 月 22 日 (火) 21 時 45 分 57 秒 (日本時間)
5043e6600 / 6922Dmitry DomanovFebruary 27, 2016 20:23:54 UTC 2016 年 2 月 28 日 (日) 5 時 23 分 54 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovMarch 1, 2016 08:14:26 UTC 2016 年 3 月 1 日 (火) 17 時 14 分 26 秒 (日本時間)

16×10263-439

c223

composite cofactor 合成数の残り
8011337775486615656451966056714557368319487592264788823028081550534859635060937878281706646994337631280243132128293045958460037574431218416439631035478173996007859675035288779738251050754881542606892672795972766104071623179<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:21:39 UTC 2015 年 12 月 21 日 (月) 7 時 21 分 39 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 22, 2015 22:23:44 UTC 2015 年 12 月 23 日 (水) 7 時 23 分 44 秒 (日本時間)

16×10264-439

c249

composite cofactor 合成数の残り
234089537089870798803086499757783826143309108090926077326137208263217429076272249786787968753489382387421859644364065685460472912014846974650223085342810574526558521638916563291621179336781585133933816957256241305597761176622353858952658968577101461<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 21, 2015 06:19:09 UTC 2015 年 12 月 21 日 (月) 15 時 19 分 9 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 14:45:47 UTC 2015 年 12 月 23 日 (水) 23 時 45 分 47 秒 (日本時間)

16×10265-439

c232

composite cofactor 合成数の残り
1079516565070307452438423207639922029921842669266158592623885209388677843935478876323342565159460003985455962666843780252838938951104239286213118389348685078810747141296243747638022567245129213037429675917507529617365044115000751147<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:22:51 UTC 2015 年 12 月 21 日 (月) 7 時 22 分 51 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 22, 2015 22:24:15 UTC 2015 年 12 月 23 日 (水) 7 時 24 分 15 秒 (日本時間)

16×10267-439

c236

composite cofactor 合成数の残り
25651213587108194393846779636943502131969426952411761531118037098917266502936895588463075905822504033389365325130898031341705265751447224603755964299598680234722520383328082308398604454087051136967242149207377465789628595207001535538079<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:23:05 UTC 2015 年 12 月 21 日 (月) 7 時 23 分 5 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 22, 2015 22:24:34 UTC 2015 年 12 月 23 日 (水) 7 時 24 分 34 秒 (日本時間)

16×10268-439

c241

composite cofactor 合成数の残り
3945634606031728088914148922765818649917150826733639789780903211798603941169692922503789419988148756045005119677229402732220278139068191282555270797830264405690884053124355979376679308033099030044240057760607495688910987921828456464133877769<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:23:17 UTC 2015 年 12 月 21 日 (月) 7 時 23 分 17 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 22, 2015 22:25:12 UTC 2015 年 12 月 23 日 (水) 7 時 25 分 12 秒 (日本時間)

16×10270-439

c249

composite cofactor 合成数の残り
194485435282142866281117403166291637341158892416134738281080158079189365771175817969975452776181059758672944624029526814552462449706196854773882623639190642437639981521358170296308013024906451797196868305580007207537446323396553558804770788430430461<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:24:41 UTC 2015 年 12 月 21 日 (月) 7 時 24 分 41 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:40:46 UTC 2015 年 12 月 24 日 (木) 5 時 40 分 46 秒 (日本時間)

16×10271-439

c240

composite cofactor 合成数の残り
666260830809641302537238063764741346069416800230415108277766631557734690120391781156179656575607291242242036230642353854658147034615992402233521365882250374715706373772218405475706844980851695304019440579194033530030228376457681572648937433<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e60--
4511e61200 / 4439600Dmitry DomanovDecember 22, 2015 22:25:37 UTC 2015 年 12 月 23 日 (水) 7 時 25 分 37 秒 (日本時間)
600Dmitry DomanovDecember 25, 2015 13:05:37 UTC 2015 年 12 月 25 日 (金) 22 時 5 分 37 秒 (日本時間)

16×10273-439

c191

composite cofactor 合成数の残り
10395068560800178456987958083856945026582463830916068612542173571456515676480291919759908695607009263490779902602034373422736798260200043535562894955705784171621893420095833864645651403516839<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:20:32 UTC 2015 年 12 月 21 日 (月) 7 時 20 分 32 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 21, 2015 22:45:27 UTC 2015 年 12 月 22 日 (火) 7 時 45 分 27 秒 (日本時間)

16×10274-439

c264

composite cofactor 合成数の残り
331524627380905026855218155387445359175238634933749525174994639641548560964134065132367629103498555496662752024881847111463581895431957312739576861339537271758008250810200345161044639578244244170088419852826399099286539892175161470502625669478207013352923548414081<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 21, 2015 06:19:30 UTC 2015 年 12 月 21 日 (月) 15 時 19 分 30 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 18:15:20 UTC 2015 年 12 月 24 日 (木) 3 時 15 分 20 秒 (日本時間)

16×10276-439

c273

composite cofactor 合成数の残り
321536946604770804445248286810956371455557565161471835373083338357348124032877152790337814754526637326420288981330761037760495166897771347038845682361688872812041558650348666626474548341070316111010630815297120234721971021482687245031249371998151162557022567874439822350837<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 19, 2015 17:01:41 UTC 2015 年 12 月 20 日 (日) 2 時 1 分 41 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 22, 2015 11:02:20 UTC 2015 年 12 月 22 日 (火) 20 時 2 分 20 秒 (日本時間)

16×10277-439

c239

composite cofactor 合成数の残り
20566693827011581856070371853217532695323752007762380732984862425661970474078944133770833216668477351232306218433674825511668365764196585114033833286414896649993450841209341953843690235785275536951174045636854636426595316350617081523019181<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:23:46 UTC 2015 年 12 月 21 日 (月) 7 時 23 分 46 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:41:20 UTC 2015 年 12 月 24 日 (木) 5 時 41 分 20 秒 (日本時間)

16×10280-439

c214

composite cofactor 合成数の残り
8324593735472128618048019647172673358714810229085344651084830553489387637493529538684505920528615512836006996785365252817370887405527201959514925921566123793501069524315535598768381789417689942820199256368330899381<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:20:51 UTC 2015 年 12 月 21 日 (月) 7 時 20 分 51 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 21, 2015 22:45:52 UTC 2015 年 12 月 22 日 (火) 7 時 45 分 52 秒 (日本時間)

16×10281-439

c252

composite cofactor 合成数の残り
718404197390002311556668707540356086978952542198393551833603868229485314493459410375484403658444840560625198537332821090099030407539329555549501776948852819472518639776116262587245558690071579831760442551348610155311388076065951135148653479083164139173<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 21, 2015 06:19:57 UTC 2015 年 12 月 21 日 (月) 15 時 19 分 57 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:41:40 UTC 2015 年 12 月 24 日 (木) 5 時 41 分 40 秒 (日本時間)

16×10282-439

c263

composite cofactor 合成数の残り
46078389110378440325381487810629249118415202987946605570135366317185245219471520384941599431605867838517419171520103395995780170345123755796295603175687857150973914543582518548501096326799448103610839189379297353746143950545450175224749336652285958015348511033003<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 21, 2015 06:20:11 UTC 2015 年 12 月 21 日 (月) 15 時 20 分 11 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:41:54 UTC 2015 年 12 月 24 日 (木) 5 時 41 分 54 秒 (日本時間)

16×10283-439

c278

composite cofactor 合成数の残り
57149123136000982964917939216906996588554530800341323137929765870757972391972977037125141935205038552441285526663101990111058605354229910208012092754455577807995376635938297520478138138717352223975985938458252386958141481941055680033489386157696576017441912381107500000892955049<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 19, 2015 17:00:49 UTC 2015 年 12 月 20 日 (日) 2 時 0 分 49 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 10:40:18 UTC 2015 年 12 月 23 日 (水) 19 時 40 分 18 秒 (日本時間)

16×10284-439

c260

name 名前Dmitry Domanov
date 日付December 21, 2015 10:00:03 UTC 2015 年 12 月 21 日 (月) 19 時 0 分 3 秒 (日本時間)
composite number 合成数
24951918688287206174054187835104314922621266887836106290064351200034398794384085458695660703525396487547967141752777959048396175679145912431720374582620109516818871416933482576177427610233583972467503344402239359874078217928994024336583974345050478002608072249<260>
prime factors 素因数
86175827858131379965668560680637297<35>
composite cofactor 合成数の残り
289546608468499820542497400367068651800285335417149616615537069673215857404460350392683467669185956799464179567848322473130292880897738822358874121387135579534306786608580599021673076486110371218747824240686299626811106380617<225>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3704252254
Step 1 took 37891ms
Step 2 took 12763ms
********** Factor found in step 2: 86175827858131379965668560680637297
Found probable prime factor of 35 digits: 86175827858131379965668560680637297

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 21, 2015 06:20:31 UTC 2015 年 12 月 21 日 (月) 15 時 20 分 31 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:42:37 UTC 2015 年 12 月 24 日 (木) 5 時 42 分 37 秒 (日本時間)

16×10285-439

c261

name 名前Dmitry Domanov
date 日付December 21, 2015 08:21:04 UTC 2015 年 12 月 21 日 (月) 17 時 21 分 4 秒 (日本時間)
composite number 合成数
810756596682689836793716942816991191130162154517226929899569258748105857795625798050870523501216653618514851075654828799735814891741864748135012061685627984371527178871543201554815293275053411760980567249690524512141242441476671309726589296352913154717417911047<261>
prime factors 素因数
1208381180608529390372047731292190423<37>
composite cofactor 合成数の残り
670944408679387446936665505736044668956513373940490084096046725054984195164026143374764872832677528501118095681140455087921598974440399343689406979037128863778465050438125993428651731947304534874633408218728047793407724375889<225>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1340066021
Step 1 took 48970ms
Step 2 took 14382ms
********** Factor found in step 2: 1208381180608529390372047731292190423
Found probable prime factor of 37 digits: 1208381180608529390372047731292190423

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 21, 2015 06:20:47 UTC 2015 年 12 月 21 日 (月) 15 時 20 分 47 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:42:53 UTC 2015 年 12 月 24 日 (木) 5 時 42 分 53 秒 (日本時間)

16×10286-439

c264

composite cofactor 合成数の残り
176668840534174690440006655090839684183990401297263208858447420840383907981438242587318362419931969459399599082777698187807199471976946783702500926716479147022091450005211591117007687195383259970608810330945059427018906546814709960403460276044662821836265228721701<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 21, 2015 06:21:02 UTC 2015 年 12 月 21 日 (月) 15 時 21 分 2 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:43:29 UTC 2015 年 12 月 24 日 (木) 5 時 43 分 29 秒 (日本時間)

16×10287-439

c277

composite cofactor 合成数の残り
1997293824701177783832604715751953010074745399877328014096898356716420766430741885975841846181855677770039213046458310968697366481016736775914987986989660946291993553277234902499005473938597022190138794231796456476399705875430049456501810784621807442173410886699600599015896297<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 21, 2015 06:21:19 UTC 2015 年 12 月 21 日 (月) 15 時 21 分 19 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 10:10:06 UTC 2015 年 12 月 23 日 (水) 19 時 10 分 6 秒 (日本時間)

16×10288-439

c263

composite cofactor 合成数の残り
93283365916689158933600892149998538468320828059780212616652715010245651588468304521987619921966151113764062470204560257852019427864997392690959179122305621104354966527392791640580426131755273687744745130381481030098368000020786121310427338403697173654454692243481<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 21, 2015 06:21:34 UTC 2015 年 12 月 21 日 (月) 15 時 21 分 34 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:43:43 UTC 2015 年 12 月 24 日 (木) 5 時 43 分 43 秒 (日本時間)

16×10290-439

c240

composite cofactor 合成数の残り
903866817922476648269064347333873506103718587105211401672587636041540623636229064788429164737204899605152060637029962741684264139050496584806356516876285569506463532975674100938967986215009874411470150361343323990414210525300077707916222197<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:24:06 UTC 2015 年 12 月 21 日 (月) 7 時 24 分 6 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:43:13 UTC 2015 年 12 月 24 日 (木) 5 時 43 分 13 秒 (日本時間)

16×10291-439

c261

name 名前Dmitry Domanov
date 日付December 24, 2015 06:05:13 UTC 2015 年 12 月 24 日 (木) 15 時 5 分 13 秒 (日本時間)
composite number 合成数
832287748563565055679922882956064504548310178426129135826527199003397307032905377115606079263170852871121625542718769758658805299431146554957006305702557151958990075720078574889259210073842607480889703293785240273870609918254186205551860408814104125162187096411<261>
prime factors 素因数
96681774326496248860932749610492044029<38>
8608527867443898978774271858915329571110362029233565587219300487719165539541386656992881968291849209214305272158502978688754346011765081120549366754883797268876545702365182128570974225686878469559142356550441626116107010359<223>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3264444374
Step 1 took 154330ms
Step 2 took 46622ms
********** Factor found in step 2: 96681774326496248860932749610492044029
Found probable prime factor of 38 digits: 96681774326496248860932749610492044029

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 21, 2015 06:21:55 UTC 2015 年 12 月 21 日 (月) 15 時 21 分 55 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:43:57 UTC 2015 年 12 月 24 日 (木) 5 時 43 分 57 秒 (日本時間)

16×10292-439

c225

composite cofactor 合成数の残り
133830669810097286201610547179676081562472242117025173826826300744816665184130929024238790561442658141396466407461371235618406740721747832542090043057929839037142419111263541876309228908688010369829675532174799896769331662899<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 22:21:10 UTC 2015 年 12 月 21 日 (月) 7 時 21 分 10 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:44:14 UTC 2015 年 12 月 24 日 (木) 5 時 44 分 14 秒 (日本時間)

16×10293-439

c279

name 名前Dmitry Domanov
date 日付December 24, 2015 13:08:02 UTC 2015 年 12 月 24 日 (木) 22 時 8 分 2 秒 (日本時間)
composite number 合成数
560740091131877649702272452235034672239560832777804638078840034660585311873902053622935919512954825399546740005352240022682200000943516015760960132269703696447019828632230867818917711751337926791516860250791725083291646717339277782788793244576637239772795897697109847376410277663<279>
prime factors 素因数
25471137212605257474176941392811413505282169821<47>
composite cofactor 合成数の残り
22014725390995749020796385895772618660290136149109872465041641636381583558311436364813985053789120414696432892636059950797366246502142600718334277247777173893936978670741009343922589552728532457195443400547465378464279385444832124203<233>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1595016169
Step 1 took 166204ms
Step 2 took 45069ms
********** Factor found in step 2: 25471137212605257474176941392811413505282169821
Found probable prime factor of 47 digits: 25471137212605257474176941392811413505282169821

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 21, 2015 06:22:17 UTC 2015 年 12 月 21 日 (月) 15 時 22 分 17 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 24, 2015 06:13:56 UTC 2015 年 12 月 24 日 (木) 15 時 13 分 56 秒 (日本時間)

16×10294-439

c286

composite cofactor 合成数の残り
7081239074027065711058587525042818581950797638093955075878439734175047294301236408551311210003181729063418577364544636311900629789957291237002804468527933269285030672061754728272009119170110858537033241271604637466470106163542753928689030723540592486680270072138277518717063627408415767<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 12:03:56 UTC 2015 年 12 月 20 日 (日) 21 時 3 分 56 秒 (日本時間)
4511e64600600Dmitry DomanovDecember 24, 2015 09:48:07 UTC 2015 年 12 月 24 日 (木) 18 時 48 分 7 秒 (日本時間)
4000ebinaDecember 7, 2023 20:55:58 UTC 2023 年 12 月 8 日 (金) 5 時 55 分 58 秒 (日本時間)

16×10295-439

c287

composite cofactor 合成数の残り
22124081648919453622955034611171215396313465132148715338435830472248131561396883912176833433919156932797724637539535237843225841758346444655246289558616947975173744412808100063021041161641378355303533006476382282812681353301042138259183563142744421174736365090849788917255100416887568881<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 12:03:41 UTC 2015 年 12 月 20 日 (日) 21 時 3 分 41 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 24, 2015 06:12:43 UTC 2015 年 12 月 24 日 (木) 15 時 12 分 43 秒 (日本時間)

16×10296-439

c281

composite cofactor 合成数の残り
13984545081458140940419072085064671723629058742603173753639174150789129477393792008757766893274282947545517638374612750112822418187452586679457907161398056490636268185920370972099556116015609512424178972122346933480390865800685309128558713253787889714983022410664125243815027151241<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 12:03:28 UTC 2015 年 12 月 20 日 (日) 21 時 3 分 28 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 24, 2015 06:13:14 UTC 2015 年 12 月 24 日 (木) 15 時 13 分 14 秒 (日本時間)

16×10297-439

c290

composite cofactor 合成数の残り
17519316872693449854485046786195250011924358785803115142362861297710176340147453016693273417444821890461765493018175013440245052145529474537577603771323777507351792445490772505178406216916172999964866104969117829657446143985709563304211443727495965276687679346273348235855542190835183490903<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 12:03:16 UTC 2015 年 12 月 20 日 (日) 21 時 3 分 16 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 24, 2015 06:12:00 UTC 2015 年 12 月 24 日 (木) 15 時 12 分 0 秒 (日本時間)

16×10298-439

c274

name 名前Dmitry Domanov
date 日付December 20, 2015 15:20:07 UTC 2015 年 12 月 21 日 (月) 0 時 20 分 7 秒 (日本時間)
composite number 合成数
7404245041670676985003297756942103364290544964517725466851379737094623611235879278878528296097737802875314899265560712805938077416325730083865033542668518494604889620687090362657549423797615640598011091914347245914818871273625684087193453027532320859145221844951645792189971<274>
prime factors 素因数
425478583089929873744512380947436347<36>
composite cofactor 合成数の残り
17402156855697019222441718664682167077221662855510862757381929626766405666447505752692075376269678411148985477565369156710047064211186464616848346448111506774172296331699355235972313639294106719336747429831734125565837542408695667828925193<239>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4188674633
Step 1 took 30754ms
Step 2 took 9871ms
********** Factor found in step 2: 425478583089929873744512380947436347
Found probable prime factor of 36 digits: 425478583089929873744512380947436347

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 12:03:02 UTC 2015 年 12 月 20 日 (日) 21 時 3 分 2 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovDecember 23, 2015 20:44:41 UTC 2015 年 12 月 24 日 (木) 5 時 44 分 41 秒 (日本時間)

16×10299-439

c279

name 名前Dmitry Domanov
date 日付December 20, 2015 12:56:51 UTC 2015 年 12 月 20 日 (日) 21 時 56 分 51 秒 (日本時間)
composite number 合成数
132501519514934960315161015687385957308016259827487342424665254638080777255768303957566278463113230001763228070297387371735868440138700688580748337648079876500055076415016147963592284552259778039932574962252773583681337336887356814078109299987393602672934094962608038544277790831<279>
prime factors 素因数
956697367063968653905502695174218298187<39>
composite cofactor 合成数の残り
138498885934610681346750492133219696062542832660965109430337985495240663787439479853307526687860566606078181050066491892545409718627885213816458367520925903666365515590771050694617309360843455650433063400889158304335220892177508163907071213<240>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3346935889
Step 1 took 30956ms
Step 2 took 10173ms
********** Factor found in step 2: 956697367063968653905502695174218298187
Found probable prime factor of 39 digits: 956697367063968653905502695174218298187

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 20, 2015 12:02:50 UTC 2015 年 12 月 20 日 (日) 21 時 2 分 50 秒 (日本時間)
4511e64600600Dmitry DomanovDecember 24, 2015 06:05:27 UTC 2015 年 12 月 24 日 (木) 15 時 5 分 27 秒 (日本時間)
4000ebinaDecember 7, 2023 20:58:32 UTC 2023 年 12 月 8 日 (金) 5 時 58 分 32 秒 (日本時間)

16×10300-439

c296

name 名前Dmitry Domanov
date 日付December 20, 2015 22:17:48 UTC 2015 年 12 月 21 日 (月) 7 時 17 分 48 秒 (日本時間)
composite number 合成数
12604866581426256409771607695586169625265194575810788347746210465032918396881556007755144164222504256111981634709390861944410962767587530950855988611503043681377333771352447037895743572896700754952727811298844842758228417514146993227247624967404602824593040065356233224695139484665785901614289507<296>
prime factors 素因数
706030719878313318245052982426530456743261<42>
17853141834393191840858345429909598197957167502765670794029598204884028201046157960052729915949767468762130147854478853017319119234319707820193835085626835515113065423050561596338792064226188309382347015174853553680827042311326210460928596368749464797887<254>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3509133041
Step 1 took 196749ms
Step 2 took 55423ms
********** Factor found in step 2: 706030719878313318245052982426530456743261
Found probable prime factor of 42 digits: 706030719878313318245052982426530456743261

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 19, 2015 16:58:29 UTC 2015 年 12 月 20 日 (日) 1 時 58 分 29 秒 (日本時間)
4511e61200 / 4306Dmitry DomanovDecember 20, 2015 12:02:31 UTC 2015 年 12 月 20 日 (日) 21 時 2 分 31 秒 (日本時間)