Table of contents 目次

55×10102+179

c98

name 名前Robert Backstrom
date 日付April 30, 2009 02:17:53 UTC 2009 年 4 月 30 日 (木) 11 時 17 分 53 秒 (日本時間)
composite number 合成数
14847821972994781395517091597833513801860405097176295209255754273405634127529832648848740378273911<98>
prime factors 素因数
32358778405965305440492935854465363<35>
458849891881505688703834082750529184484557904436360837193089997<63>
factorization results 素因数分解の結果
Number: n
N=14847821972994781395517091597833513801860405097176295209255754273405634127529832648848740378273911
  ( 98 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=32358778405965305440492935854465363 (pp35)
 r2=458849891881505688703834082750529184484557904436360837193089997 (pp63)
Version: GGNFS-0.77.1-VC8(Wed
Total time: 0.79 hours.
Scaled time: 0.98 units (timescale=1.243).
Factorization parameters were as follows:
name: KA_6_1_101_3
n: 14847821972994781395517091597833513801860405097176295209255754273405634127529832648848740378273911
m:  100000000000000000000
deg: 5
c5:5500
c0: 17
skew: 0.18
type: snfs
rlim: 400000
alim: 400000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 10000
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [200000, 260001)
Primes: RFBsize:33860, AFBsize:33824, largePrimes:1890853 encountered
Relations: rels:1727952, finalFF:90219
Max relations in full relation-set: 28
Initial matrix: 67751 x 90219 with sparse part having weight 7022083.
Pruned matrix : 61776 x 62178 with weight 3504147.
Total sieving time: 0.68 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,103,5,0,0,0,0,0,0,0,0,400000,400000,26,26,52,52,2.4,2.4,20000
total time: 0.79 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10105+179

c94

name 名前Markus Tervooren
date 日付April 29, 2009 18:57:06 UTC 2009 年 4 月 30 日 (木) 3 時 57 分 6 秒 (日本時間)
composite number 合成数
6190973417678248911826496973321001897506450037367806314609001941975686201499624743187528730543<94>
prime factors 素因数
81029967971957752955713055836047647693<38>
76403503205391551231527775810749279533656827067863897451<56>
factorization results 素因数分解の結果
Number: k1
N=6190973417678248911826496973321001897506450037367806314609001941975686201499624743187528730543
  ( 94 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=81029967971957752955713055836047647693 (pp38)
 r2=76403503205391551231527775810749279533656827067863897451 (pp56)
Version: Msieve-1.39
Total time: 0.20 hours.
Scaled time: 0.50 units (timescale=2.472).
Factorization parameters were as follows:
n: 6190973417678248911826496973321001897506450037367806314609001941975686201499624743187528730543
m: 200000000000000000000000000
deg: 4
c4: 275
c0: 136
skew: 0.84
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2

Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [220000, 300001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 38956 x 39183
Total sieving time: 0.19 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107,4,0,0,0,0,0,0,0,0,440000,440000,25,25,44,44,2.2,2.2,40000
total time: 0.20 hours.
 --------- CPU info (if available) ----------
[    0.140008] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.232014] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.327367] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.424240] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8198000k/10485760k available (2226k kernel code, 189836k reserved, 1082k data, 392k init)
[    0.083992] Calibrating delay using timer specific routine.. 6404.32 BogoMIPS (lpj=12808640)
[    0.152009] Calibrating delay using timer specific routine.. 6400.07 BogoMIPS (lpj=12800150)
[    0.244015] Calibrating delay using timer specific routine.. 6400.09 BogoMIPS (lpj=12800199)
[    0.343793] Calibrating delay using timer specific routine.. 6400.09 BogoMIPS (lpj=12800187)
[    0.428765] Total of 4 processors activated (25604.58 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10119+179

c120

name 名前Serge Batalov
date 日付April 30, 2009 06:36:55 UTC 2009 年 4 月 30 日 (木) 15 時 36 分 55 秒 (日本時間)
composite number 合成数
611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<120>
prime factors 素因数
1619798646167707926668253111679<31>
composite cofactor 合成数の残り
377275973502597272706476705893861400303860757026705314272481031102839141493245455438961847<90>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=905747387
Step 1 took 6385ms
Step 2 took 7264ms
********** Factor found in step 2: 1619798646167707926668253111679
Found probable prime factor of 31 digits: 1619798646167707926668253111679
Composite cofactor has 90 digits
software ソフトウェア
GMP-ECM 6.2.2

c90

name 名前Andreas Tete
date 日付May 1, 2009 04:14:49 UTC 2009 年 5 月 1 日 (金) 13 時 14 分 49 秒 (日本時間)
composite number 合成数
377275973502597272706476705893861400303860757026705314272481031102839141493245455438961847<90>
prime factors 素因数
3053270289500435018012281274941085711<37>
123564551359888218602782071126087431100945294762281177<54>
factorization results 素因数分解の結果
Thu Apr 30 18:48:20 2009  Msieve v. 1.41
Thu Apr 30 18:48:20 2009  random seeds: f3b53190 42af96b3
Thu Apr 30 18:48:20 2009  factoring 377275973502597272706476705893861400303860757026705314272481031102839141493245455438961847 (90 digits)
Thu Apr 30 18:48:21 2009  searching for 15-digit factors
Thu Apr 30 18:48:22 2009  searching for 20-digit factors
Thu Apr 30 18:48:39 2009  searching for 25-digit factors
Thu Apr 30 18:51:51 2009  commencing quadratic sieve (90-digit input)
Thu Apr 30 18:51:51 2009  using multiplier of 1
Thu Apr 30 18:51:51 2009  using 32kb Intel Core sieve core
Thu Apr 30 18:51:51 2009  sieve interval: 36 blocks of size 32768
Thu Apr 30 18:51:51 2009  processing polynomials in batches of 6
Thu Apr 30 18:51:51 2009  using a sieve bound of 1584943 (59903 primes)
Thu Apr 30 18:51:51 2009  using large prime bound of 126795440 (26 bits)
Thu Apr 30 18:51:51 2009  using double large prime bound of 385111478867040 (42-49 bits)
Thu Apr 30 18:51:51 2009  using trial factoring cutoff of 49 bits
Thu Apr 30 18:51:51 2009  polynomial 'A' values have 11 factors
Thu Apr 30 20:33:03 2009  60071 relations (15333 full + 44738 combined from 648878 partial), need 59999
Thu Apr 30 20:33:04 2009  begin with 664211 relations
Thu Apr 30 20:33:05 2009  reduce to 149145 relations in 10 passes
Thu Apr 30 20:33:05 2009  attempting to read 149145 relations
Thu Apr 30 20:33:08 2009  recovered 149145 relations
Thu Apr 30 20:33:08 2009  recovered 131153 polynomials
Thu Apr 30 20:33:08 2009  attempting to build 60071 cycles
Thu Apr 30 20:33:08 2009  found 60071 cycles in 6 passes
Thu Apr 30 20:33:08 2009  distribution of cycle lengths:
Thu Apr 30 20:33:08 2009     length 1 : 15333
Thu Apr 30 20:33:08 2009     length 2 : 11124
Thu Apr 30 20:33:08 2009     length 3 : 10506
Thu Apr 30 20:33:08 2009     length 4 : 8198
Thu Apr 30 20:33:08 2009     length 5 : 5846
Thu Apr 30 20:33:08 2009     length 6 : 3861
Thu Apr 30 20:33:08 2009     length 7 : 2355
Thu Apr 30 20:33:08 2009     length 9+: 2848
Thu Apr 30 20:33:08 2009  largest cycle: 19 relations
Thu Apr 30 20:33:08 2009  matrix is 59903 x 60071 (15.2 MB) with weight 3744595 (62.34/col)
Thu Apr 30 20:33:08 2009  sparse part has weight 3744595 (62.34/col)
Thu Apr 30 20:33:10 2009  filtering completed in 3 passes
Thu Apr 30 20:33:10 2009  matrix is 56440 x 56503 (14.4 MB) with weight 3555074 (62.92/col)
Thu Apr 30 20:33:10 2009  sparse part has weight 3555074 (62.92/col)
Thu Apr 30 20:33:10 2009  saving the first 48 matrix rows for later
Thu Apr 30 20:33:10 2009  matrix is 56392 x 56503 (10.8 MB) with weight 2995473 (53.01/col)
Thu Apr 30 20:33:10 2009  sparse part has weight 2504930 (44.33/col)
Thu Apr 30 20:33:10 2009  matrix includes 64 packed rows
Thu Apr 30 20:33:10 2009  using block size 22601 for processor cache size 3072 kB
Thu Apr 30 20:33:11 2009  commencing Lanczos iteration
Thu Apr 30 20:33:11 2009  memory use: 9.6 MB
Thu Apr 30 20:33:34 2009  lanczos halted after 893 iterations (dim = 56391)
Thu Apr 30 20:33:34 2009  recovered 17 nontrivial dependencies
Thu Apr 30 20:33:34 2009  prp37 factor: 3053270289500435018012281274941085711
Thu Apr 30 20:33:34 2009  prp54 factor: 123564551359888218602782071126087431100945294762281177
Thu Apr 30 20:33:34 2009  elapsed time 01:45:14
software ソフトウェア
Msieve v1.41
execution environment 実行環境
Intel Core 2 Duo T8100 / Windows Vista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10120+179

c97

name 名前Sinkiti Sibata
date 日付April 30, 2009 04:59:38 UTC 2009 年 4 月 30 日 (木) 13 時 59 分 38 秒 (日本時間)
composite number 合成数
6021673481575859773124401532919227792673004029510249607602079740999815999962637314855610908819937<97>
prime factors 素因数
98307462555318089826526950770199792763<38>
61253472778706241794870926147499037925858616278305839202899<59>
factorization results 素因数分解の結果
Thu Apr 30 07:44:49 2009  Msieve v. 1.41
Thu Apr 30 07:44:49 2009  random seeds: bf780874 d93eee60
Thu Apr 30 07:44:49 2009  factoring 6021673481575859773124401532919227792673004029510249607602079740999815999962637314855610908819937 (97 digits)
Thu Apr 30 07:44:51 2009  searching for 15-digit factors
Thu Apr 30 07:44:52 2009  commencing quadratic sieve (97-digit input)
Thu Apr 30 07:44:53 2009  using multiplier of 17
Thu Apr 30 07:44:53 2009  using 32kb Intel Core sieve core
Thu Apr 30 07:44:53 2009  sieve interval: 36 blocks of size 32768
Thu Apr 30 07:44:53 2009  processing polynomials in batches of 6
Thu Apr 30 07:44:53 2009  using a sieve bound of 2404033 (88123 primes)
Thu Apr 30 07:44:53 2009  using large prime bound of 360604950 (28 bits)
Thu Apr 30 07:44:53 2009  using double large prime bound of 2527301234494800 (43-52 bits)
Thu Apr 30 07:44:53 2009  using trial factoring cutoff of 52 bits
Thu Apr 30 07:44:53 2009  polynomial 'A' values have 13 factors
Thu Apr 30 13:48:31 2009  88458 relations (21528 full + 66930 combined from 1321428 partial), need 88219
Thu Apr 30 13:48:35 2009  begin with 1342956 relations
Thu Apr 30 13:48:36 2009  reduce to 231324 relations in 11 passes
Thu Apr 30 13:48:36 2009  attempting to read 231324 relations
Thu Apr 30 13:48:40 2009  recovered 231324 relations
Thu Apr 30 13:48:40 2009  recovered 218564 polynomials
Thu Apr 30 13:48:41 2009  attempting to build 88458 cycles
Thu Apr 30 13:48:41 2009  found 88458 cycles in 6 passes
Thu Apr 30 13:48:41 2009  distribution of cycle lengths:
Thu Apr 30 13:48:41 2009     length 1 : 21528
Thu Apr 30 13:48:41 2009     length 2 : 15366
Thu Apr 30 13:48:41 2009     length 3 : 14830
Thu Apr 30 13:48:41 2009     length 4 : 12274
Thu Apr 30 13:48:41 2009     length 5 : 8982
Thu Apr 30 13:48:41 2009     length 6 : 6220
Thu Apr 30 13:48:41 2009     length 7 : 3944
Thu Apr 30 13:48:41 2009     length 9+: 5314
Thu Apr 30 13:48:41 2009  largest cycle: 22 relations
Thu Apr 30 13:48:41 2009  matrix is 88123 x 88458 (23.7 MB) with weight 5867152 (66.33/col)
Thu Apr 30 13:48:41 2009  sparse part has weight 5867152 (66.33/col)
Thu Apr 30 13:48:43 2009  filtering completed in 3 passes
Thu Apr 30 13:48:43 2009  matrix is 84104 x 84167 (22.7 MB) with weight 5602479 (66.56/col)
Thu Apr 30 13:48:43 2009  sparse part has weight 5602479 (66.56/col)
Thu Apr 30 13:48:43 2009  saving the first 48 matrix rows for later
Thu Apr 30 13:48:43 2009  matrix is 84056 x 84167 (13.7 MB) with weight 4362940 (51.84/col)
Thu Apr 30 13:48:43 2009  sparse part has weight 3088177 (36.69/col)
Thu Apr 30 13:48:43 2009  matrix includes 64 packed rows
Thu Apr 30 13:48:43 2009  using block size 33666 for processor cache size 1024 kB
Thu Apr 30 13:48:44 2009  commencing Lanczos iteration
Thu Apr 30 13:48:44 2009  memory use: 13.5 MB
Thu Apr 30 13:49:34 2009  lanczos halted after 1331 iterations (dim = 84054)
Thu Apr 30 13:49:34 2009  recovered 17 nontrivial dependencies
Thu Apr 30 13:49:35 2009  prp38 factor: 98307462555318089826526950770199792763
Thu Apr 30 13:49:35 2009  prp59 factor: 61253472778706241794870926147499037925858616278305839202899
Thu Apr 30 13:49:35 2009  elapsed time 06:04:46

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10127+179

c121

name 名前Ignacio Santos
date 日付April 30, 2009 06:44:00 UTC 2009 年 4 月 30 日 (木) 15 時 44 分 0 秒 (日本時間)
composite number 合成数
1687582984400237563818213450460429248882679688106067622082261453494543901533963532663363502192978802402071254669070361683<121>
prime factors 素因数
4682653728534234711143308235969476153633<40>
360390300507760405496205851150786683695433826066308510126793078082183441435140851<81>
factorization results 素因数分解の結果
Number: 61113_127
N=1687582984400237563818213450460429248882679688106067622082261453494543901533963532663363502192978802402071254669070361683
  ( 121 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=4682653728534234711143308235969476153633 (pp40)
 r2=360390300507760405496205851150786683695433826066308510126793078082183441435140851 (pp81)
Version: Msieve-1.39
Total time: 2.48 hours.
Scaled time: 6.39 units (timescale=2.571).
Factorization parameters were as follows:
n: 1687582984400237563818213450460429248882679688106067622082261453494543901533963532663363502192978802402071254669070361683
m: 50000000000000000000000000
deg: 5
c5: 44
c0: 425
skew: 1.57
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 965001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 155761 x 155992
Total sieving time: 2.48 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,130,5,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,50000
total time: 2.48 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10131+179

c130

name 名前Ignacio Santos
date 日付April 30, 2009 15:52:36 UTC 2009 年 5 月 1 日 (金) 0 時 52 分 36 秒 (日本時間)
composite number 合成数
3376304481276856967464702271332105586249232658072437077961939840392879066912216083486801718845917740945365254757519950890116635973<130>
prime factors 素因数
2959810039062819990859007912121336939581988177042521633010731909<64>
1140716612457302757427878310231801315808493275159253651509479151297<67>
factorization results 素因数分解の結果
Number: 61113_131
N=3376304481276856967464702271332105586249232658072437077961939840392879066912216083486801718845917740945365254757519950890116635973
  ( 130 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=2959810039062819990859007912121336939581988177042521633010731909 (pp64)
 r2=1140716612457302757427878310231801315808493275159253651509479151297 (pp67)
Version: Msieve-1.39
Total time: 2.67 hours.
Scaled time: 6.87 units (timescale=2.577).
Factorization parameters were as follows:
n: 3376304481276856967464702271332105586249232658072437077961939840392879066912216083486801718845917740945365254757519950890116635973
m: 200000000000000000000000000
deg: 5
c5: 275
c0: 272
skew: 1.00
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 152852 x 153094
Total sieving time: 2.67 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,133,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 2.67 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10135+179

c93

name 名前Sinkiti Sibata
date 日付April 30, 2009 08:03:21 UTC 2009 年 4 月 30 日 (木) 17 時 3 分 21 秒 (日本時間)
composite number 合成数
258382100463852506230968335487805430257100969220134618900431126539928243525631289673555119871<93>
prime factors 素因数
13042718211587829831766097413915690329339148483<47>
19810448732557328228341823177874542870780022037<47>
factorization results 素因数分解の結果
Thu Apr 30 14:57:37 2009  Msieve v. 1.41
Thu Apr 30 14:57:37 2009  random seeds: 9171f740 959a443a
Thu Apr 30 14:57:37 2009  factoring 258382100463852506230968335487805430257100969220134618900431126539928243525631289673555119871 (93 digits)
Thu Apr 30 14:57:37 2009  searching for 15-digit factors
Thu Apr 30 14:57:39 2009  commencing quadratic sieve (93-digit input)
Thu Apr 30 14:57:39 2009  using multiplier of 1
Thu Apr 30 14:57:39 2009  using 32kb Intel Core sieve core
Thu Apr 30 14:57:39 2009  sieve interval: 36 blocks of size 32768
Thu Apr 30 14:57:39 2009  processing polynomials in batches of 6
Thu Apr 30 14:57:39 2009  using a sieve bound of 1889131 (70449 primes)
Thu Apr 30 14:57:39 2009  using large prime bound of 221028327 (27 bits)
Thu Apr 30 14:57:39 2009  using double large prime bound of 1047143580966873 (42-50 bits)
Thu Apr 30 14:57:39 2009  using trial factoring cutoff of 50 bits
Thu Apr 30 14:57:39 2009  polynomial 'A' values have 12 factors
Thu Apr 30 16:54:56 2009  70670 relations (18405 full + 52265 combined from 916226 partial), need 70545
Thu Apr 30 16:54:57 2009  begin with 934631 relations
Thu Apr 30 16:54:58 2009  reduce to 177805 relations in 13 passes
Thu Apr 30 16:54:58 2009  attempting to read 177805 relations
Thu Apr 30 16:55:00 2009  recovered 177805 relations
Thu Apr 30 16:55:00 2009  recovered 156794 polynomials
Thu Apr 30 16:55:01 2009  attempting to build 70670 cycles
Thu Apr 30 16:55:01 2009  found 70670 cycles in 6 passes
Thu Apr 30 16:55:01 2009  distribution of cycle lengths:
Thu Apr 30 16:55:01 2009     length 1 : 18405
Thu Apr 30 16:55:01 2009     length 2 : 13040
Thu Apr 30 16:55:01 2009     length 3 : 12090
Thu Apr 30 16:55:01 2009     length 4 : 9445
Thu Apr 30 16:55:01 2009     length 5 : 6860
Thu Apr 30 16:55:01 2009     length 6 : 4372
Thu Apr 30 16:55:01 2009     length 7 : 2799
Thu Apr 30 16:55:01 2009     length 9+: 3659
Thu Apr 30 16:55:01 2009  largest cycle: 18 relations
Thu Apr 30 16:55:01 2009  matrix is 70449 x 70670 (17.6 MB) with weight 4333606 (61.32/col)
Thu Apr 30 16:55:01 2009  sparse part has weight 4333606 (61.32/col)
Thu Apr 30 16:55:02 2009  filtering completed in 3 passes
Thu Apr 30 16:55:02 2009  matrix is 66349 x 66413 (16.7 MB) with weight 4101622 (61.76/col)
Thu Apr 30 16:55:02 2009  sparse part has weight 4101622 (61.76/col)
Thu Apr 30 16:55:02 2009  saving the first 48 matrix rows for later
Thu Apr 30 16:55:02 2009  matrix is 66301 x 66413 (10.0 MB) with weight 3166149 (47.67/col)
Thu Apr 30 16:55:02 2009  sparse part has weight 2210961 (33.29/col)
Thu Apr 30 16:55:02 2009  matrix includes 64 packed rows
Thu Apr 30 16:55:02 2009  using block size 26565 for processor cache size 1024 kB
Thu Apr 30 16:55:03 2009  commencing Lanczos iteration
Thu Apr 30 16:55:03 2009  memory use: 10.0 MB
Thu Apr 30 16:55:30 2009  lanczos halted after 1050 iterations (dim = 66297)
Thu Apr 30 16:55:30 2009  recovered 15 nontrivial dependencies
Thu Apr 30 16:55:31 2009  prp47 factor: 13042718211587829831766097413915690329339148483
Thu Apr 30 16:55:31 2009  prp47 factor: 19810448732557328228341823177874542870780022037
Thu Apr 30 16:55:31 2009  elapsed time 01:57:54

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10138+179

c108

name 名前Ignacio Santos
date 日付April 30, 2009 10:38:41 UTC 2009 年 4 月 30 日 (木) 19 時 38 分 41 秒 (日本時間)
composite number 合成数
111124379760904060998273023772063612247139489669364432832383286955350483631183018958061606008642952568793901<108>
prime factors 素因数
1187288381940462130868009909981206026936967<43>
93595104147558747071446841923837021201891200362881632886909849003<65>
factorization results 素因数分解の結果
Number: 61113_118
N=111124379760904060998273023772063612247139489669364432832383286955350483631183018958061606008642952568793901
  ( 108 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=1187288381940462130868009909981206026936967 (pp43)
 r2=93595104147558747071446841923837021201891200362881632886909849003 (pp65)
Version: Msieve-1.39
Total time: 5.36 hours.
Scaled time: 13.78 units (timescale=2.571).
Factorization parameters were as follows:
n: 111124379760904060998273023772063612247139489669364432832383286955350483631183018958061606008642952568793901
m: 5000000000000000000000000000
deg: 5
c5: 88
c0: 85
skew: 0.99
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [765000, 1665001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 239127 x 239362
Total sieving time: 5.36 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,140,5,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,75000
total time: 5.36 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10139+179

c115

name 名前Robert Backstrom
date 日付April 30, 2009 10:12:46 UTC 2009 年 4 月 30 日 (木) 19 時 12 分 46 秒 (日本時間)
composite number 合成数
1217826297265224073102082739938273395751150789544672150731742120357286571820237935321180590087550810674361752653167<115>
prime factors 素因数
81763899605527921358782677567481<32>
4069370006867177330397707858452514611997<40>
3660130512500783146450462819085092132451731<43>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 1217826297265224073102082739938273395751150789544672150731742120357286571820237935321180590087550810674361752653167 (115 digits)
Using B1=1372000, B2=1426564240, polynomial Dickson(6), sigma=3773204362
Step 1 took 13509ms
Step 2 took 5117ms
********** Factor found in step 2: 81763899605527921358782677567481
Found probable prime factor of 32 digits: 81763899605527921358782677567481
Composite cofactor 14894425328790077194413442180434380837484123126965525964547625497245590385796016807 has 83 digits


Thu Apr 30 19:21:58 2009  
Thu Apr 30 19:21:58 2009  
Thu Apr 30 19:21:58 2009  Msieve v. 1.39
Thu Apr 30 19:21:58 2009  random seeds: 891a2560 10e6359e
Thu Apr 30 19:21:58 2009  factoring 14894425328790077194413442180434380837484123126965525964547625497245590385796016807 (83 digits)
Thu Apr 30 19:21:58 2009  searching for 15-digit factors
Thu Apr 30 19:21:59 2009  commencing quadratic sieve (83-digit input)
Thu Apr 30 19:21:59 2009  using multiplier of 3
Thu Apr 30 19:21:59 2009  using 32kb Intel Core sieve core
Thu Apr 30 19:21:59 2009  sieve interval: 12 blocks of size 32768
Thu Apr 30 19:21:59 2009  processing polynomials in batches of 17
Thu Apr 30 19:21:59 2009  using a sieve bound of 1355089 (52059 primes)
Thu Apr 30 19:21:59 2009  using large prime bound of 124668188 (26 bits)
Thu Apr 30 19:21:59 2009  using trial factoring cutoff of 27 bits
Thu Apr 30 19:21:59 2009  polynomial 'A' values have 11 factors
Thu Apr 30 19:39:42 2009  52241 relations (26351 full + 25890 combined from 281262 partial), need 52155
Thu Apr 30 19:39:42 2009  begin with 307613 relations
Thu Apr 30 19:39:42 2009  reduce to 74928 relations in 2 passes
Thu Apr 30 19:39:42 2009  attempting to read 74928 relations
Thu Apr 30 19:39:43 2009  recovered 74928 relations
Thu Apr 30 19:39:43 2009  recovered 68440 polynomials
Thu Apr 30 19:39:43 2009  attempting to build 52241 cycles
Thu Apr 30 19:39:43 2009  found 52241 cycles in 1 passes
Thu Apr 30 19:39:43 2009  distribution of cycle lengths:
Thu Apr 30 19:39:43 2009     length 1 : 26351
Thu Apr 30 19:39:43 2009     length 2 : 25890
Thu Apr 30 19:39:43 2009  largest cycle: 2 relations
Thu Apr 30 19:39:43 2009  matrix is 52059 x 52241 (7.1 MB) with weight 1660494 (31.79/col)
Thu Apr 30 19:39:43 2009  sparse part has weight 1660494 (31.79/col)
Thu Apr 30 19:39:43 2009  filtering completed in 3 passes
Thu Apr 30 19:39:43 2009  matrix is 38003 x 38067 (5.7 MB) with weight 1338402 (35.16/col)
Thu Apr 30 19:39:43 2009  sparse part has weight 1338402 (35.16/col)
Thu Apr 30 19:39:43 2009  saving the first 48 matrix rows for later
Thu Apr 30 19:39:43 2009  matrix is 37955 x 38067 (3.6 MB) with weight 1010804 (26.55/col)
Thu Apr 30 19:39:43 2009  sparse part has weight 719314 (18.90/col)
Thu Apr 30 19:39:43 2009  matrix includes 64 packed rows
Thu Apr 30 19:39:43 2009  using block size 15226 for processor cache size 6144 kB
Thu Apr 30 19:39:44 2009  commencing Lanczos iteration
Thu Apr 30 19:39:44 2009  memory use: 4.2 MB
Thu Apr 30 19:39:47 2009  lanczos halted after 602 iterations (dim = 37953)
Thu Apr 30 19:39:47 2009  recovered 17 nontrivial dependencies
Thu Apr 30 19:39:47 2009  prp40 factor: 4069370006867177330397707858452514611997
Thu Apr 30 19:39:47 2009  prp43 factor: 3660130512500783146450462819085092132451731
Thu Apr 30 19:39:47 2009  elapsed time 00:17:49

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10140+179

c118

name 名前Ignacio Santos
date 日付April 30, 2009 12:02:22 UTC 2009 年 4 月 30 日 (木) 21 時 2 分 22 秒 (日本時間)
composite number 合成数
3661941792028893320771674453906461398736845292068741409358102612764247173984037287722223413240085681776284995306884363<118>
prime factors 素因数
10615121701713873642054896444448927095209397<44>
344974075185369880980187433999848289501839524696372984170815766498887686079<75>
factorization results 素因数分解の結果
Number: 61113_140
N=3661941792028893320771674453906461398736845292068741409358102612764247173984037287722223413240085681776284995306884363
  ( 118 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=10615121701713873642054896444448927095209397 (pp44)
 r2=344974075185369880980187433999848289501839524696372984170815766498887686079 (pp75)
Version: Msieve-1.39
Total time: 4.88 hours.
Scaled time: 12.50 units (timescale=2.560).
Factorization parameters were as follows:
n: 3661941792028893320771674453906461398736845292068741409358102612764247173984037287722223413240085681776284995306884363
m: 10000000000000000000000000000
deg: 5
c5: 55
c0: 17
skew: 0.79
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1605001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248771 x 249007
Total sieving time: 4.88 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,141,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 4.88 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10143+179

c123

name 名前Ignacio Santos
date 日付April 30, 2009 14:41:53 UTC 2009 年 4 月 30 日 (木) 23 時 41 分 53 秒 (日本時間)
composite number 合成数
149798170465404801889673648353571477390630741370430580041195733866328662659834965071847732868899781815670187328774549033441<123>
prime factors 素因数
60340823343326933516766372625551502784610350942842391<53>
2482534413113388832724548281270442360749001612536624017335879644836551<70>
factorization results 素因数分解の結果
Number: 61113_143
N=149798170465404801889673648353571477390630741370430580041195733866328662659834965071847732868899781815670187328774549033441
  ( 123 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=60340823343326933516766372625551502784610350942842391 (pp53)
 r2=2482534413113388832724548281270442360749001612536624017335879644836551 (pp70)
Version: Msieve-1.39
Total time: 8.00 hours.
Scaled time: 20.60 units (timescale=2.576).
Factorization parameters were as follows:
n: 149798170465404801889673648353571477390630741370430580041195733866328662659834965071847732868899781815670187328774549033441
m: 50000000000000000000000000000
deg: 5
c5: 88
c0: 85
skew: 0.99
type: snfs
lss: 1
rlim: 1860000
alim: 1860000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1860000/1860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [930000, 2230001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 318333 x 318562
Total sieving time: 8.00 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,145,5,0,0,0,0,0,0,0,0,1860000,1860000,26,26,49,49,2.3,2.3,100000
total time: 8.00 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10144+179

c138

name 名前Robert Backstrom
date 日付May 1, 2009 01:10:17 UTC 2009 年 5 月 1 日 (金) 10 時 10 分 17 秒 (日本時間)
composite number 合成数
991232047909020325177097572719621562742925067741248714124225850023383164010173789470927731740455872665105602348016057166190487802051608839<138>
prime factors 素因数
62047967175543760816542807092147978147061016750701197820446736461993<68>
15975254194946695413822386088009888763248723626869235808879754858431023<71>
factorization results 素因数分解の結果
Number: n
N=991232047909020325177097572719621562742925067741248714124225850023383164010173789470927731740455872665105602348016057166190487802051608839
  ( 138 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=62047967175543760816542807092147978147061016750701197820446736461993 (pp68)
 r2=15975254194946695413822386088009888763248723626869235808879754858431023 (pp71)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 6.15 hours.
Scaled time: 16.36 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_1_143_3
n: 991232047909020325177097572719621562742925067741248714124225850023383164010173789470927731740455872665105602348016057166190487802051608839
m: 100000000000000000000000000000
deg: 5
c5: 11
c0: 34
skew: 1.25
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [950000, 2050001)
Primes: RFBsize:142029, AFBsize:142593, largePrimes:6880110 encountered
Relations: rels:6253829, finalFF:326860
Max relations in full relation-set: 28
Initial matrix: 284687 x 326860 with sparse part having weight 29127953.
Pruned matrix : 268932 x 270419 with weight 21137673.
Total sieving time: 5.74 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.24 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1900000,1900000,28,28,56,56,2.3,2.3,100000
total time: 6.15 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10145+179

c133

name 名前Robert Backstrom
date 日付May 1, 2009 08:09:48 UTC 2009 年 5 月 1 日 (金) 17 時 9 分 48 秒 (日本時間)
composite number 合成数
2322928543420475118824821236796569054213102688127694063920166482940863388996539736729948247430475893861048264045178605545393523786191<133>
prime factors 素因数
107016565731908504231459299776275005741<39>
21706251995039129583953685992479342156376606649272283107467957832369820404585460036933394617451<95>
factorization results 素因数分解の結果
Number: n
N=2322928543420475118824821236796569054213102688127694063920166482940863388996539736729948247430475893861048264045178605545393523786191
  ( 133 digits)
SNFS difficulty: 146 digits.
Divisors found:

Fri May 01 18:04:23 2009  prp39 factor: 107016565731908504231459299776275005741
Fri May 01 18:04:23 2009  prp95 factor: 21706251995039129583953685992479342156376606649272283107467957832369820404585460036933394617451
Fri May 01 18:04:23 2009  elapsed time 00:17:55 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 6.00 hours.
Scaled time: 15.95 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_1_144_3
n: 2322928543420475118824821236796569054213102688127694063920166482940863388996539736729948247430475893861048264045178605545393523786191
m: 100000000000000000000000000000
deg: 5
c5: 55
c0: 17
skew: 0.79
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1000000, 1999567)
Primes: RFBsize:148933, AFBsize:148321, largePrimes:9515026 encountered
Relations: rels:8485513, finalFF:307147
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 859106 hash collisions in 9671035 relations
Msieve: matrix is 341182 x 341430 (91.2 MB)

Total sieving time: 5.80 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,56,56,2.4,2.4,100000
total time: 6.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10146+179

c125

name 名前Ignacio Santos
date 日付April 30, 2009 16:49:25 UTC 2009 年 5 月 1 日 (金) 1 時 49 分 25 秒 (日本時間)
composite number 合成数
85257307180663645777655545117027633679803372464365020456848138665445440598020230260861824971246596997401711612151618479710857<125>
prime factors 素因数
160965543312759353198552642730359050359052328137190922370513<60>
529661848281448338885793967808712449857065677368809581586525810489<66>
factorization results 素因数分解の結果
Number: 61113_146
N=85257307180663645777655545117027633679803372464365020456848138665445440598020230260861824971246596997401711612151618479710857
  ( 125 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=160965543312759353198552642730359050359052328137190922370513 (pp60)
 r2=529661848281448338885793967808712449857065677368809581586525810489 (pp66)
Version: Msieve-1.39
Total time: 7.58 hours.
Scaled time: 13.18 units (timescale=1.739).
Factorization parameters were as follows:
n: 85257307180663645777655545117027633679803372464365020456848138665445440598020230260861824971246596997401711612151618479710857
m: 200000000000000000000000000000
deg: 5
c5: 275
c0: 272
skew: 1.00
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 331424 x 331672
Total sieving time: 7.58 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,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 7.58 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10150+179

c102

name 名前Sinkiti Sibata
date 日付April 30, 2009 09:45:36 UTC 2009 年 4 月 30 日 (木) 18 時 45 分 36 秒 (日本時間)
composite number 合成数
360828976895667299737562769774660717483559074368529041201510988550692299042274113620704153686059912843<102>
prime factors 素因数
8420887143370657565490007495995287668142801<43>
42849283068676424463551912087229682013357069256594047052443<59>
factorization results 素因数分解の結果
Number: 61113_150
N=360828976895667299737562769774660717483559074368529041201510988550692299042274113620704153686059912843
  ( 102 digits)
Divisors found:
 r1=8420887143370657565490007495995287668142801 (pp43)
 r2=42849283068676424463551912087229682013357069256594047052443 (pp59)
Version: Msieve-1.40
Total time: 4.78 hours.
Scaled time: 12.22 units (timescale=2.554).
Factorization parameters were as follows:
name: 61113_150
# Murphy_E = 3.043745e-09, selected by Jeff Gilchrist
n: 360828976895667299737562769774660717483559074368529041201510988550692299042274113620704153686059912843
Y0: -44113535318694843826
Y1: 24303255677
c0: 465157296557827797222705
c1: 268644217472380387089
c2: 16241102223304477
c3: -1397388248401
c4: -105304494
c5: 2160
skew: 16337.53
type: gnfs
# selected mechanically
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.4
alambda: 2.4
Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [835000, 1435001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 220727 x 220975
Total sieving time: 4.78 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,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1670000,1670000,26,26,48,48,2.4,2.4,100000
total time: 4.78 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10151+179

c143

name 名前Serge Batalov
date 日付April 29, 2009 17:12:40 UTC 2009 年 4 月 30 日 (木) 2 時 12 分 40 秒 (日本時間)
composite number 合成数
10151118877849548401188089456175729029236441628323407793634299245381671285719861686972157486834518691140029954849212458085091866984755239827387<143>
prime factors 素因数
3308092725448856055133083186613<31>
3068571445944642173555566328749439194505144924727462058149060519333716290496346376102747785291468715529594477999<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1070043456
Step 1 took 7665ms
Step 2 took 8164ms
********** Factor found in step 2: 3308092725448856055133083186613
Found probable prime factor of 31 digits: 3308092725448856055133083186613
Probable prime cofactor has 112 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10154+179

c153

name 名前Ignacio Santos
date 日付April 30, 2009 05:58:17 UTC 2009 年 4 月 30 日 (木) 14 時 58 分 17 秒 (日本時間)
composite number 合成数
174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439063<153>
prime factors 素因数
1232654391467284570396223070468890151373701148611847251467<58>
141244562033352471422960766465762608824220881553425132457487800547462661060496451035078688975589<96>
factorization results 素因数分解の結果
Number: 61113_154
N=174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439063
  ( 153 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=1232654391467284570396223070468890151373701148611847251467 (pp58)
 r2=141244562033352471422960766465762608824220881553425132457487800547462661060496451035078688975589 (pp96)
Version: Msieve-1.39
Total time: 17.35 hours.
Scaled time: 44.60 units (timescale=2.571).
Factorization parameters were as follows:
n: 174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439063
m: 10000000000000000000000000000000
deg: 5
c5: 11
c0: 34
skew: 1.25
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 445869 x 446117
Total sieving time: 17.35 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,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 17.35 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10157+179

c135

name 名前Robert Backstrom
date 日付May 4, 2009 03:26:59 UTC 2009 年 5 月 4 日 (月) 12 時 26 分 59 秒 (日本時間)
composite number 合成数
137135790667987258497062069606788365533877730492617388925132440398292490112752801128294151957777779325427769881630714049121531915355137<135>
prime factors 素因数
12124727791377638326845253721179147109990591753399<50>
11310422223706317727474682057533510318275643666078995018519442259981719412163525709063<86>
factorization results 素因数分解の結果
Number: n
N=137135790667987258497062069606788365533877730492617388925132440398292490112752801128294151957777779325427769881630714049121531915355137
  ( 135 digits)
SNFS difficulty: 160 digits.
Divisors found:

Mon May 04 12:12:16 2009  prp50 factor: 12124727791377638326845253721179147109990591753399
Mon May 04 12:12:16 2009  prp86 factor: 11310422223706317727474682057533510318275643666078995018519442259981719412163525709063
Mon May 04 12:12:16 2009  elapsed time 02:17:24 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 39.62 hours.
Scaled time: 52.02 units (timescale=1.313).
Factorization parameters were as follows:
name: KA_6_1_156_3
n: 137135790667987258497062069606788365533877730492617388925132440398292490112752801128294151957777779325427769881630714049121531915355137
m: 50000000000000000000000000000000
deg: 5
c5: 44
c0: 425
skew: 1.57
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1650000, 3210121)
Primes: RFBsize:236900, AFBsize:237488, largePrimes:13811646 encountered
Relations: rels:13142029, finalFF:416258
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1330848 hash collisions in 14317622 relations
Msieve: matrix is 578036 x 578284 (153.5 MB)

Total sieving time: 39.12 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,28,28,56,56,2.4,2.4,100000
total time: 39.62 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10158+179

c157

name 名前Ignacio Santos
date 日付April 30, 2009 10:37:31 UTC 2009 年 4 月 30 日 (木) 19 時 37 分 31 秒 (日本時間)
composite number 合成数
1846257133266196710305471634776770728432359852299429338704263175562269217858341725411211816045652903658945955018462571332661967103054716347767707284323598523<157>
prime factors 素因数
473827959932100290692183934041550493799062394539511<51>
3896471482034884541768779423085832074586818741605048169360830630153978031461284856168107994452562187584093<106>
factorization results 素因数分解の結果
Number: 61113_158
N=1846257133266196710305471634776770728432359852299429338704263175562269217858341725411211816045652903658945955018462571332661967103054716347767707284323598523
  ( 157 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=473827959932100290692183934041550493799062394539511 (pp51)
 r2=3896471482034884541768779423085832074586818741605048169360830630153978031461284856168107994452562187584093 (pp106)
Version: Msieve-1.39
Total time: 28.19 hours.
Scaled time: 49.02 units (timescale=1.739).
Factorization parameters were as follows:
n: 1846257133266196710305471634776770728432359852299429338704263175562269217858341725411211816045652903658945955018462571332661967103054716347767707284323598523
m: 50000000000000000000000000000000
deg: 5
c5: 88
c0: 85
skew: 0.99
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 608868 x 609116
Total sieving time: 28.19 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,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 28.19 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10163+179

c147

name 名前Robert Backstrom
date 日付May 1, 2009 21:32:46 UTC 2009 年 5 月 2 日 (土) 6 時 32 分 46 秒 (日本時間)
composite number 合成数
273703038093879591074250157422546137883823419528662340911505327987668867536699780839613305549266028283942751636145364283724805214548251413217634381<147>
prime factors 素因数
988927876452064515740826404730390842363<39>
276767441399096380316151693006323720191422239464515146167317202352562731456327706585980600161679177720537687<108>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 273703038093879591074250157422546137883823419528662340911505327987668867536699780839613305549266028283942751636145364283724805214548251413217634381 (147 digits)
Using B1=2428000, B2=3567796060, polynomial Dickson(6), sigma=1970218074
Step 1 took 37377ms
Step 2 took 12590ms
********** Factor found in step 2: 988927876452064515740826404730390842363
Found probable prime factor of 39 digits: 988927876452064515740826404730390842363
Probable prime cofactor 276767441399096380316151693006323720191422239464515146167317202352562731456327706585980600161679177720537687 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10164+179

c151

name 名前Robert Backstrom
date 日付May 2, 2009 03:03:49 UTC 2009 年 5 月 2 日 (土) 12 時 3 分 49 秒 (日本時間)
composite number 合成数
1630202193882551104644598265925382882273090792872901616189458196053098853630152192869885169100062147087738877976546460977103393162871641515066409748427<151>
prime factors 素因数
282451979306041155940265917052798974301<39>
644722799675175966492607182499443099118039843<45>
8952077269999371031550399889027325040511664465137117896843843554189<67>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 1630202193882551104644598265925382882273090792872901616189458196053098853630152192869885169100062147087738877976546460977103393162871641515066409748427 (151 digits)
Using B1=2830000, B2=4281592780, polynomial Dickson(6), sigma=2000062157
Step 1 took 43743ms
Step 2 took 9375ms
********** Factor found in step 2: 282451979306041155940265917052798974301
Found probable prime factor of 39 digits: 282451979306041155940265917052798974301
Composite cofactor 5771608320422500642589016843134140631258908662565308929895490414334452685237669024313423499189266080364031552327 has 112 digits


GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 5771608320422500642589016843134140631258908662565308929895490414334452685237669024313423499189266080364031552327 (112 digits)
Using B1=4640000, B2=8562235510, polynomial Dickson(6), sigma=1859142445
Step 1 took 45879ms
********** Factor found in step 1: 644722799675175966492607182499443099118039843
Found probable prime factor of 45 digits: 644722799675175966492607182499443099118039843
Probable prime cofactor 8952077269999371031550399889027325040511664465137117896843843554189 has 67 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10165+179

c100

name 名前Sinkiti Sibata
date 日付April 30, 2009 20:49:19 UTC 2009 年 5 月 1 日 (金) 5 時 49 分 19 秒 (日本時間)
composite number 合成数
7830453672911169816739466041188016318913244857508424008110812471942050633932960185035002833034958319<100>
prime factors 素因数
5465358655311332029004825867899211<34>
1432742875035547153933750660830179143999140191987535372145307749229<67>
factorization results 素因数分解の結果
Number: 61113_165
N=7830453672911169816739466041188016318913244857508424008110812471942050633932960185035002833034958319
  ( 100 digits)
Divisors found:
 r1=5465358655311332029004825867899211 (pp34)
 r2=1432742875035547153933750660830179143999140191987535372145307749229 (pp67)
Version: Msieve-1.40
Total time: 4.52 hours.
Scaled time: 11.59 units (timescale=2.564).
Factorization parameters were as follows:
name: 61113_165
# Murphy_E = 3.280698e-09, selected by Jeff Gilchrist
n: 7830453672911169816739466041188016318913244857508424008110812471942050633932960185035002833034958319
Y0: -23554394723977259197
Y1: 6482663053
c0: 626424900598470617370720
c1: 408296215573260026130
c2: -14200135718664369
c3: -3571120408384
c4: 30953858
c5: 1080
skew: 22078.27
type: gnfs
# selected mechanically
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
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, 1350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206809 x 207057
Total sieving time: 4.52 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,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,47,47,2.4,2.4,100000
total time: 4.52 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10168+179

c147

name 名前Robert Backstrom
date 日付May 5, 2009 04:04:02 UTC 2009 年 5 月 5 日 (火) 13 時 4 分 2 秒 (日本時間)
composite number 合成数
455692220094378475899028019297894009795617089865204368694899943284127257853245517194919666672096984551704299608853985767015618988158532829578064133<147>
prime factors 素因数
96341799290463865188662743214896995784016161192590672095139619<62>
4729953389395374818079029796745396474394029557670207973418519714975101293655196577207<85>
factorization results 素因数分解の結果
Number: n
N=455692220094378475899028019297894009795617089865204368694899943284127257853245517194919666672096984551704299608853985767015618988158532829578064133
  ( 147 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue May 05 13:44:14 2009  prp62 factor: 96341799290463865188662743214896995784016161192590672095139619
Tue May 05 13:44:14 2009  prp85 factor: 4729953389395374818079029796745396474394029557670207973418519714975101293655196577207
Tue May 05 13:44:14 2009  elapsed time 01:23:46 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 54.51 hours.
Scaled time: 144.41 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_1_167_3
n: 455692220094378475899028019297894009795617089865204368694899943284127257853245517194919666672096984551704299608853985767015618988158532829578064133
m: 5000000000000000000000000000000000
deg: 5
c5: 88
c0: 85
skew: 0.99
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2450000, 5522809)
Primes: RFBsize:341992, AFBsize:342599, largePrimes:17230416 encountered
Relations: rels:16855884, finalFF:673202
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2033482 hash collisions in 18633936 relations
Msieve: matrix is 876911 x 877159 (232.8 MB)

Total sieving time: 53.25 hours.
Total relation processing time: 1.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,28,28,56,56,2.4,2.4,100000
total time: 54.51 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10172+179

c171

name 名前Robert Backstrom
date 日付May 8, 2009 07:15:43 UTC 2009 年 5 月 8 日 (金) 16 時 15 分 43 秒 (日本時間)
composite number 合成数
522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317189<171>
prime factors 素因数
493749677347938526775502150247920833506391063<45>
1057858289223318308788894162344464041259794820007724457791366870178514553961234787544201200451027293578968082744471755879288003<127>
factorization results 素因数分解の結果
Number: n
N=522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317189
  ( 171 digits)
SNFS difficulty: 175 digits.
Divisors found:

Fri May 08 02:39:21 2009  prp45 factor: 493749677347938526775502150247920833506391063
Fri May 08 02:39:21 2009  prp127 factor: 1057858289223318308788894162344464041259794820007724457791366870178514553961234787544201200451027293578968082744471755879288003
Fri May 08 02:39:21 2009  elapsed time 02:22:25 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 91.95 hours.
Scaled time: 238.60 units (timescale=2.595).
Factorization parameters were as follows:
name: KA_6_1_171_3
n: 522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317189
m: 50000000000000000000000000000000000
deg: 5
c5: 44
c0: 425
skew: 1.57
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2900000, 7700001)
Primes: RFBsize:399993, AFBsize:400815, largePrimes:21169931 encountered
Relations: rels:21218933, finalFF:661920
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2987853 hash collisions in 24011991 relations
Msieve: matrix is 1038429 x 1038677 (273.8 MB)

Total sieving time: 90.52 hours.
Total relation processing time: 1.43 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,56,56,2.5,2.5,100000
total time: 91.95 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10174+179

c156

name 名前Wataru Sakai
date 日付October 16, 2010 06:52:02 UTC 2010 年 10 月 16 日 (土) 15 時 52 分 2 秒 (日本時間)
composite number 合成数
188234426423725474262396228486340490932133565653666574676867823644258558714134008433256528993426924180799536622158486511588006671339086564671718005988651503<156>
prime factors 素因数
1502221108847147816089653844878208888805068411868344667<55>
125304074956171099691498672219190448198448833981860276879364617797412055984449707500841917018971648509<102>
factorization results 素因数分解の結果
Number: 61113_174
N=188234426423725474262396228486340490932133565653666574676867823644258558714134008433256528993426924180799536622158486511588006671339086564671718005988651503
  ( 156 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=1502221108847147816089653844878208888805068411868344667
 r2=125304074956171099691498672219190448198448833981860276879364617797412055984449707500841917018971648509
Version: 
Total time: 120.87 hours.
Scaled time: 243.44 units (timescale=2.014).
Factorization parameters were as follows:
n: 188234426423725474262396228486340490932133565653666574676867823644258558714134008433256528993426924180799536622158486511588006671339086564671718005988651503
m: 50000000000000000000000000000000000
deg: 5
c5: 176
c0: 17
skew: 0.63
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 6550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 928329 x 928577
Total sieving time: 120.87 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,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 120.87 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
351e6418118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2010 15:50:30 UTC 2010 年 6 月 8 日 (火) 0 時 50 分 30 秒 (日本時間)
403e62126110Ignacio SantosJune 7, 2010 15:50:30 UTC 2010 年 6 月 8 日 (火) 0 時 50 分 30 秒 (日本時間)
2016Wataru SakaiJune 10, 2010 03:39:47 UTC 2010 年 6 月 10 日 (木) 12 時 39 分 47 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 7, 2010 15:50:30 UTC 2010 年 6 月 8 日 (火) 0 時 50 分 30 秒 (日本時間)

55×10176+179

c157

name 名前Robert Backstrom
date 日付January 12, 2012 14:44:00 UTC 2012 年 1 月 12 日 (木) 23 時 44 分 0 秒 (日本時間)
composite number 合成数
9257729581756774801900532700075875990291164102204579641526778294521711571516951942268910970429687861396301000038292239774833656566512845311641346697895379941<157>
prime factors 素因数
18733926729269387689065089874154995040101661974780377<53>
494169199844939337124870844405096286909648811888218468536353415006855154506636648905611905285707612407533<105>
factorization results 素因数分解の結果
Number: n
N=9257729581756774801900532700075875990291164102204579641526778294521711571516951942268910970429687861396301000038292239774833656566512845311641346697895379941
  ( 157 digits)
SNFS difficulty: 177 digits.
Divisors found:

Fri Jan 13 01:38:17 2012  prp53 factor: 18733926729269387689065089874154995040101661974780377
Fri Jan 13 01:38:17 2012  prp105 factor: 494169199844939337124870844405096286909648811888218468536353415006855154506636648905611905285707612407533
Fri Jan 13 01:38:17 2012  elapsed time 02:09:50 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.647).
Factorization parameters were as follows:
name: KA_61113_176
n: 9257729581756774801900532700075875990291164102204579641526778294521711571516951942268910970429687861396301000038292239774833656566512845311641346697895379941
m: 100000000000000000000000000000000000
deg: 5
c5: 550
c0: 17
skew: 0.50
type: snfs
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8506467 hash collisions in 75000099 relations
Msieve: matrix is 1035440 x 1035684 (288.0 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,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
403e6100Rich DickersonJuly 15, 2010 16:50:11 UTC 2010 年 7 月 16 日 (金) 1 時 50 分 11 秒 (日本時間)
4511e6560 / 371660Rich DickersonJuly 15, 2010 20:22:54 UTC 2010 年 7 月 16 日 (金) 5 時 22 分 54 秒 (日本時間)
500Rich DickersonOctober 5, 2011 19:03:17 UTC 2011 年 10 月 6 日 (木) 4 時 3 分 17 秒 (日本時間)
5043e6210 / 742310Rich DickersonJuly 15, 2010 21:52:26 UTC 2010 年 7 月 16 日 (金) 6 時 52 分 26 秒 (日本時間)
200Rich DickersonOctober 6, 2011 03:02:03 UTC 2011 年 10 月 6 日 (木) 12 時 2 分 3 秒 (日本時間)

55×10177+179

c132

name 名前Ignacio Santos
date 日付July 8, 2011 08:15:16 UTC 2011 年 7 月 8 日 (金) 17 時 15 分 16 秒 (日本時間)
composite number 合成数
178999019816964082346441696683454816306172124550572550016823629213737333045443697336622476671482762654551593738111421875552113549989<132>
prime factors 素因数
60619930020584405310487036426918061<35>
2952808090609512148978894706174668069252869107539830545924667357501023911513029612145352044665049<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3248460931
Step 1 took 15803ms
Step 2 took 9953ms
********** Factor found in step 2: 60619930020584405310487036426918061
Found probable prime factor of 35 digits: 60619930020584405310487036426918061
Probable prime cofactor 2952808090609512148978894706174668069252869107539830545924667357501023911513029612145352044665049 has 97 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
351e6118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
403e6100 / 1619Rich DickersonJuly 16, 2010 03:20:13 UTC 2010 年 7 月 16 日 (金) 12 時 20 分 13 秒 (日本時間)
4511e6175 / 4418Rich DickersonJuly 16, 2010 14:13:02 UTC 2010 年 7 月 16 日 (金) 23 時 13 分 2 秒 (日本時間)
5043e610 / 7510Rich DickersonJuly 16, 2010 16:25:09 UTC 2010 年 7 月 17 日 (土) 1 時 25 分 9 秒 (日本時間)

55×10178+179

c146

name 名前Wataru Sakai
date 日付March 23, 2012 00:53:08 UTC 2012 年 3 月 23 日 (金) 9 時 53 分 8 秒 (日本時間)
composite number 合成数
30121235766388892499866111339535789998720146621589573899917750804695750352029103722640116067391102429395967495150570947473704264931143259236146647<146>
prime factors 素因数
378085908620841077930651883306380494222897<42>
79667702708792600844252037283358842220012689536715589790664075166077122730884774500357492181278311983751<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2639716402
Step 1 took 9831ms
Step 2 took 4575ms
********** Factor found in step 2: 378085908620841077930651883306380494222897
Found probable prime factor of 42 digits: 378085908620841077930651883306380494222897
Probable prime cofactor 79667702708792600844252037283358842220012689536715589790664075166077122730884774500357492181278311983751 has 104 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
351e6118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
403e6310 / 2318150Rich DickersonJuly 16, 2010 16:01:06 UTC 2010 年 7 月 17 日 (土) 1 時 1 分 6 秒 (日本時間)
160Dmitry DomanovMay 9, 2011 17:03:59 UTC 2011 年 5 月 10 日 (火) 2 時 3 分 59 秒 (日本時間)

55×10179+179

c180

name 名前Ignacio Santos
date 日付May 2, 2009 09:50:25 UTC 2009 年 5 月 2 日 (土) 18 時 50 分 25 秒 (日本時間)
composite number 合成数
611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<180>
prime factors 素因数
12377994530432761028221676774712257063726401<44>
73269204460209175829580074342407808171006969<44>
673827013176111083910624677558147698900308166031355405696528671720862868315586604941485397777<93>
factorization results 素因数分解の結果
Number: 61113_179
N=611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=12377994530432761028221676774712257063726401 (pp44)
 r2=73269204460209175829580074342407808171006969 (pp44)
 r3=673827013176111083910624677558147698900308166031355405696528671720862868315586604941485397777 (pp93)
Version: Msieve-1.39
Total time: 137.25 hours.
Scaled time: 238.68 units (timescale=1.739).
Factorization parameters were as follows:
n: 611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
m: 1000000000000000000000000000000000000
deg: 5
c5: 11
c0: 34
skew: 1.25
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 5950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1290361 x 1290609
Total sieving time: 137.25 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,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 137.25 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10182+179

c153

name 名前Jo Yeong Uk
date 日付May 8, 2014 22:14:38 UTC 2014 年 5 月 9 日 (金) 7 時 14 分 38 秒 (日本時間)
composite number 合成数
360165202147503940250654139367752230629616405477120253751748618585015054224423650823840572257268216739324281485623101826655770306041944371894915677100081<153>
prime factors 素因数
7845282138667076210992842909059642309051<40>
45908508550936127762517332952488330112923161443262710972166606601459777540955752484365108568394774928944250294531<113>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 360165202147503940250654139367752230629616405477120253751748618585015054224423650823840572257268216739324281485623101826655770306041944371894915677100081 (153 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=157042163
Step 1 took 24629ms
Step 2 took 723ms
********** Factor found in step 2: 7845282138667076210992842909059642309051
Found probable prime factor of 40 digits: 7845282138667076210992842909059642309051
Probable prime cofactor 45908508550936127762517332952488330112923161443262710972166606601459777540955752484365108568394774928944250294531 has 113 digits
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
351e6118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 9, 2011 17:05:23 UTC 2011 年 5 月 10 日 (火) 2 時 5 分 23 秒 (日本時間)
4511e61540 / 4409230Ignacio SantosOctober 13, 2013 18:40:15 UTC 2013 年 10 月 14 日 (月) 3 時 40 分 15 秒 (日本時間)
230Ignacio SantosOctober 17, 2013 15:40:27 UTC 2013 年 10 月 18 日 (金) 0 時 40 分 27 秒 (日本時間)
230Ignacio SantosOctober 19, 2013 19:50:52 UTC 2013 年 10 月 20 日 (日) 4 時 50 分 52 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:25 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 25 秒 (日本時間)

55×10184+179

c164

name 名前Jo Yeong Uk
date 日付June 30, 2014 11:42:31 UTC 2014 年 6 月 30 日 (月) 20 時 42 分 31 秒 (日本時間)
composite number 合成数
36455323465638643539658213877307100028757412521774479550624550883233457524614894503527311600811897203126576789373140909480692184566551118568436837925627943673296193<164>
prime factors 素因数
453879733719935952474218148618616977057133967<45>
80319346199610676450572045798888774880196676723959567435587401098558909917740161057241877352711519078644207368380178479<119>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 36455323465638643539658213877307100028757412521774479550624550883233457524614894503527311600811897203126576789373140909480692184566551118568436837925627943673296193 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2718313580
Step 1 took 29721ms
Step 2 took 9860ms
********** Factor found in step 2: 453879733719935952474218148618616977057133967
Found probable prime factor of 45 digits: 453879733719935952474218148618616977057133967
Probable prime cofactor 80319346199610676450572045798888774880196676723959567435587401098558909917740161057241877352711519078644207368380178479 has 119 digits
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
351e6118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
403e670Rich DickersonJuly 16, 2010 13:33:45 UTC 2010 年 7 月 16 日 (金) 22 時 33 分 45 秒 (日本時間)
4511e6880 / 4354130Rich DickersonJuly 16, 2010 13:33:45 UTC 2010 年 7 月 16 日 (金) 22 時 33 分 45 秒 (日本時間)
450Rich DickersonNovember 11, 2013 21:54:12 UTC 2013 年 11 月 12 日 (火) 6 時 54 分 12 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:59 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 59 秒 (日本時間)
5043e630 / 7353Rich DickersonNovember 11, 2013 23:42:03 UTC 2013 年 11 月 12 日 (火) 8 時 42 分 3 秒 (日本時間)

55×10185+179

c186

name 名前Jo Yeong Uk
date 日付May 2, 2009 11:18:57 UTC 2009 年 5 月 2 日 (土) 20 時 18 分 57 秒 (日本時間)
composite number 合成数
611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<186>
prime factors 素因数
1096040361315018452438210082225829075210151<43>
composite cofactor 合成数の残り
557562597765930815412243176953401553071377242201602332140988914411667452895150577949126139543829258917591831711208244743857512136813261667131663<144>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (186 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2707379689
Step 1 took 29921ms
Step 2 took 19500ms
********** Factor found in step 2: 1096040361315018452438210082225829075210151
Found probable prime factor of 43 digits: 1096040361315018452438210082225829075210151
Composite cofactor 557562597765930815412243176953401553071377242201602332140988914411667452895150577949126139543829258917591831711208244743857512136813261667131663 has 144 digits
execution environment 実行環境
Core 2 Quad Q6600

c144

name 名前Jo Yeong Uk
date 日付November 22, 2014 04:59:09 UTC 2014 年 11 月 22 日 (土) 13 時 59 分 9 秒 (日本時間)
composite number 合成数
557562597765930815412243176953401553071377242201602332140988914411667452895150577949126139543829258917591831711208244743857512136813261667131663<144>
prime factors 素因数
262608222024256057080440484626863017447403009950774830321<57>
2123172661800478654228807833089883467220558132760589954119496890326072641552701698696703<88>
factorization results 素因数分解の結果
Number: 61113_185
N=557562597765930815412243176953401553071377242201602332140988914411667452895150577949126139543829258917591831711208244743857512136813261667131663
  ( 144 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=262608222024256057080440484626863017447403009950774830321
 r2=2123172661800478654228807833089883467220558132760589954119496890326072641552701698696703
Version: 
Total time: 78.86 hours.
Scaled time: 414.00 units (timescale=5.250).
Factorization parameters were as follows:
n: 557562597765930815412243176953401553071377242201602332140988914411667452895150577949126139543829258917591831711208244743857512136813261667131663
m: 10000000000000000000000000000000000000
deg: 5
c5: 55
c0: 17
skew: 0.79
# Murphy_E = 5.97e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20449046
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1725332 x 1725580
Total sieving time: 73.00 hours.
Total relation processing time: 1.87 hours.
Matrix solve time: 3.87 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 78.86 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 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
351e6904118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
786Jo Yeong UkMay 1, 2009 02:49:50 UTC 2009 年 5 月 1 日 (金) 11 時 49 分 50 秒 (日本時間)
403e6540300Serge BatalovJanuary 9, 2014 04:51:43 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 43 秒 (日本時間)
240CypFebruary 21, 2014 20:35:49 UTC 2014 年 2 月 22 日 (土) 5 時 35 分 49 秒 (日本時間)
4511e64319520Rich DickersonApril 7, 2014 10:25:58 UTC 2014 年 4 月 7 日 (月) 19 時 25 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:59 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 59 秒 (日本時間)
3499Jo Yeong UkNovember 15, 2014 06:10:54 UTC 2014 年 11 月 15 日 (土) 15 時 10 分 54 秒 (日本時間)

55×10186+179

c144

name 名前Rich Dickerson
date 日付April 25, 2014 23:32:42 UTC 2014 年 4 月 26 日 (土) 8 時 32 分 42 秒 (日本時間)
composite number 合成数
342529853769204200620719452001447644803110153596386641720085341071243433758676929304902025585538097610104657379217785602876425813173168636797537<144>
prime factors 素因数
42512636442159715395978096225114241<35>
composite cofactor 合成数の残り
8057130360174930899544255836185450937136116181030116115303640356632942483973272399602951335647357630822373857<109>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1307535553
Step 1 took 21545ms
Step 2 took 7677ms
********** Factor found in step 2: 42512636442159715395978096225114241
Found probable prime factor of 35 digits: 42512636442159715395978096225114241
Composite cofactor 8057130360174930899544255836185450937136116181030116115303640356632942483973272399602951335647357630822373857 has 109 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
execution environment 実行環境
Core-i5. 3.4 GHz, OpenSUSE

c109

name 名前Dmitry Domanov
date 日付April 26, 2014 22:14:13 UTC 2014 年 4 月 27 日 (日) 7 時 14 分 13 秒 (日本時間)
composite number 合成数
8057130360174930899544255836185450937136116181030116115303640356632942483973272399602951335647357630822373857<109>
prime factors 素因数
58667212913351574601575609128383595992844517974927<50>
137336170580915337338932138864159270943308496613859450696591<60>
factorization results 素因数分解の結果
N=8057130360174930899544255836185450937136116181030116115303640356632942483973272399602951335647357630822373857
  ( 109 digits)
Divisors found:
 r1=58667212913351574601575609128383595992844517974927 (pp50)
 r2=137336170580915337338932138864159270943308496613859450696591 (pp60)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 9.48 hours.
Scaled time: 9.58 units (timescale=1.010).
Factorization parameters were as follows:
n: 8057130360174930899544255836185450937136116181030116115303640356632942483973272399602951335647357630822373857
skew: 1588754.20
c0: 25975758558161667418448148837
c1: 69303989639536197176788
c2: -84425289258672467
c3: -3308309106
c4: 23184
Y0: -136536261649714176514456094
Y1: 19188261537401
rlim: 3060000
alim: 3060000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 160000
type: gnfs
Factor base limits: 3060000/3060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1530000, 2490001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 482075 x 482301
Total sieving time: 8.90 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,108,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3060000,3060000,26,26,52,52,2.5,2.5,100000
total time: 9.48 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
351e6418118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 12, 2011 17:45:58 UTC 2011 年 5 月 13 日 (金) 2 時 45 分 58 秒 (日本時間)
403e6410 / 2126110Ignacio SantosMay 12, 2011 17:45:58 UTC 2011 年 5 月 13 日 (金) 2 時 45 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:44 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 44 秒 (日本時間)
4511e632 / 4371Ignacio SantosMay 12, 2011 17:45:58 UTC 2011 年 5 月 13 日 (金) 2 時 45 分 58 秒 (日本時間)

55×10187+179

c177

name 名前Robert Backstrom
date 日付February 12, 2012 05:11:49 UTC 2012 年 2 月 12 日 (日) 14 時 11 分 49 秒 (日本時間)
composite number 合成数
714247778333079933279222556158572822211472887439016109192921115609413114179552087180686171728995172897887815296351035011028403188275513097471833123203758263642866209987896602473<177>
prime factors 素因数
573395679707400699385348747479834393752793967409490749<54>
1245645552644475714914257635039358945570950278650907410937990090328439047225546137808020213496628143001027627071390746085277<124>
factorization results 素因数分解の結果
Number: n
N=714247778333079933279222556158572822211472887439016109192921115609413114179552087180686171728995172897887815296351035011028403188275513097471833123203758263642866209987896602473
  ( 177 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sun Feb 12 15:35:38 2012  prp54 factor: 573395679707400699385348747479834393752793967409490749
Sun Feb 12 15:35:38 2012  prp124 factor: 1245645552644475714914257635039358945570950278650907410937990090328439047225546137808020213496628143001027627071390746085277
Sun Feb 12 15:35:38 2012  elapsed time 03:26:45 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.657).
Factorization parameters were as follows:
name: KA_61113_187
n: 714247778333079933279222556158572822211472887439016109192921115609413114179552087180686171728995172897887815296351035011028403188275513097471833123203758263642866209987896602473
m: 10000000000000000000000000000000000000
#  c177, diff: 188.74
skew: 0.31
deg: 5
c5: 5500
c0: 17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8200066 hash collisions in 77486896 relations (71662512 unique)
Msieve: matrix is 1338330 x 1338559 (375.3 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,188,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44761.89 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 12, 2011 18:29:58 UTC 2011 年 5 月 13 日 (金) 3 時 29 分 58 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 12, 2011 18:29:58 UTC 2011 年 5 月 13 日 (金) 3 時 29 分 58 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 12, 2011 18:29:58 UTC 2011 年 5 月 13 日 (金) 3 時 29 分 58 秒 (日本時間)

55×10189+179

c189

name 名前Wataru Sakai
date 日付November 16, 2009 13:40:41 UTC 2009 年 11 月 16 日 (月) 22 時 40 分 41 秒 (日本時間)
composite number 合成数
321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427<189>
prime factors 素因数
743141132482156367337598193227260139629402238122971076355782741496332829<72>
432807999506483598225778604308585057267632076708114307439969977345662831173299530582744403436363128148721417709214863<117>
factorization results 素因数分解の結果
Number: 61113_189
N=321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=743141132482156367337598193227260139629402238122971076355782741496332829
 r2=432807999506483598225778604308585057267632076708114307439969977345662831173299530582744403436363128148721417709214863
Version: 
Total time: 424.41 hours.
Scaled time: 854.34 units (timescale=2.013).
Factorization parameters were as follows:
n: 321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427
m: 100000000000000000000000000000000000000
deg: 5
c5: 11
c0: 34
skew: 1.25
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5350000, 9650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1681268 x 1681516
Total sieving time: 424.41 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,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 424.41 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
351e6118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e6750 / 4475Dmitry DomanovJune 20, 2009 22:19:06 UTC 2009 年 6 月 21 日 (日) 7 時 19 分 6 秒 (日本時間)

55×10192+179

c191

name 名前matsui
date 日付June 25, 2009 08:51:49 UTC 2009 年 6 月 25 日 (木) 17 時 51 分 49 秒 (日本時間)
composite number 合成数
73627844712182061579651941097724230254350736278447121820615796519410977242302543507362784471218206157965194109772423025435073627844712182061579651941097724230254350736278447121820615796519411<191>
prime factors 素因数
1554680079421055663241309632741999791<37>
47358839729650484514213082265957188539646153312865411770034607331778178504222288115743334089402845551750039467061001611721179865193092780024997006733901821<155>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
73627844712182061579651941097724230254350736278447121820615796519410977242302543507362784471218206157965194109772423025435073627844712182061579651941097724230254350736278447121820615796519411
=
1554680079421055663241309632741999791* 47358839729650484514213082265957188539646153312865411770034607331778178504222288115743334089402845551750039467061001611721179865193092780024997006733901821

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10193+179

c107

name 名前Robert Backstrom
date 日付May 1, 2009 08:51:30 UTC 2009 年 5 月 1 日 (金) 17 時 51 分 30 秒 (日本時間)
composite number 合成数
33787854276483560442085336393221876130796021891636512609086462515490869394140277080699950221758475858872117<107>
prime factors 素因数
384765495832116367237778956105135383415129352909<48>
87814148208409307707864677216212472091320723207070971272713<59>
factorization results 素因数分解の結果
Number: n
N=33787854276483560442085336393221876130796021891636512609086462515490869394140277080699950221758475858872117
  ( 107 digits)
Divisors found:

Fri May 01 18:47:23 2009  prp48 factor: 384765495832116367237778956105135383415129352909
Fri May 01 18:47:23 2009  prp59 factor: 87814148208409307707864677216212472091320723207070971272713
Fri May 01 18:47:23 2009  elapsed time 00:46:39 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 13.43 hours.
Scaled time: 17.72 units (timescale=1.319).
Factorization parameters were as follows:
name: KA_6_1_192_3_Jeff_Gilchrist
# Murphy_E = 1.564195e-09, selected by Jeff Gilchrist
n: 33787854276483560442085336393221876130796021891636512609086462515490869394140277080699950221758475858872117
Y0: -394413411388729801681
Y1: 148581631799
c0: -25649377604197306364870640
c1: 10507065941092396630478
c2: -10142164446033363
c3: -19061095063357
c4: -22053853
c5: 3540
skew: 38283.63
type: gnfs
# selected mechanically
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [1150000, 2153159)
Primes: RFBsize:169511, AFBsize:170117, largePrimes:4322460 encountered
Relations: rels:4223392, finalFF:359082
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 401952 hash collisions in 4637187 relations
Msieve: matrix is 329174 x 329422 (90.2 MB)

Total sieving time: 13.26 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,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.5,2.5,150000
total time: 13.43 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10195+179

c181

name 名前Bob Backstrom
date 日付February 28, 2021 18:09:14 UTC 2021 年 3 月 1 日 (月) 3 時 9 分 14 秒 (日本時間)
composite number 合成数
6358502703877088949626841158819784004088542053465045730726798079737261297054137892219431662398940826474844826091789085139778589180607501166942917773510672471769602254633420769329311<181>
prime factors 素因数
51221066083662120607496508459320964845692176597011<50>
52577001617925667660698933076216096951717750013475439849245552611<65>
2361078527440933821736150772128327541852242748956039853097628884791<67>
factorization results 素因数分解の結果
Number: n
N=6358502703877088949626841158819784004088542053465045730726798079737261297054137892219431662398940826474844826091789085139778589180607501166942917773510672471769602254633420769329311  ( 181 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Mar  1 04:56:59 2021  found factor: 51221066083662120607496508459320964845692176597011
Mon Mar  1 04:59:16 2021  found factor: 51221066083662120607496508459320964845692176597011
Mon Mar  1 05:01:32 2021  p50 factor: 51221066083662120607496508459320964845692176597011
Mon Mar  1 05:01:32 2021  p65 factor: 52577001617925667660698933076216096951717750013475439849245552611
Mon Mar  1 05:01:32 2021  p67 factor: 2361078527440933821736150772128327541852242748956039853097628884791
Mon Mar  1 05:01:32 2021  elapsed time 01:21:58 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 55x10^195+17 = 61(194)3
#
n: 6358502703877088949626841158819784004088542053465045730726798079737261297054137892219431662398940826474844826091789085139778589180607501166942917773510672471769602254633420769329311
m: 1000000000000000000000000000000000000000
deg: 5
c5: 55
c0: 17
skew: 0.79
# Murphy_E = 2.314e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3267322 hash collisions in 26784800 relations (24995726 unique)
Msieve: matrix is 1766034 x 1766259 (619.8 MB)

Sieving start time : 2021/02/28 22:19:35
Sieving end time  : 2021/03/01 03:39:01

Total sieving time: 5hrs 19min 26secs.

Total relation processing time: 1hrs 5min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 49sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] 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
351e6418118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 12, 2011 21:51:51 UTC 2011 年 5 月 13 日 (金) 6 時 51 分 51 秒 (日本時間)
403e62710110Ignacio SantosMay 12, 2011 21:51:51 UTC 2011 年 5 月 13 日 (金) 6 時 51 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:45 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:54 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 54 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:32:48 UTC 2014 年 5 月 30 日 (金) 21 時 32 分 48 秒 (日本時間)
4511e61032 / 386232Ignacio SantosMay 12, 2011 21:51:51 UTC 2011 年 5 月 13 日 (金) 6 時 51 分 51 秒 (日本時間)
1000Dmitry DomanovJuly 17, 2014 10:15:36 UTC 2014 年 7 月 17 日 (木) 19 時 15 分 36 秒 (日本時間)

55×10196+179

c174

name 名前Bob Backstrom
date 日付March 6, 2021 06:57:55 UTC 2021 年 3 月 6 日 (土) 15 時 57 分 55 秒 (日本時間)
composite number 合成数
241194329834792235012989732710787949320179334506098626588092963805458776747108358717054958195302960607218606503020057519278136635689988719144824046273267940967735607356267029<174>
prime factors 素因数
76404158135984388385247202346655442800832104413331625532100747<62>
3156822033239522403765522350375721114038895845437002252250376865394186049449807148534993674815147549542576829407<112>
factorization results 素因数分解の結果
Number: n
N=241194329834792235012989732710787949320179334506098626588092963805458776747108358717054958195302960607218606503020057519278136635689988719144824046273267940967735607356267029  ( 174 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Mar  6 16:26:30 2021  p62 factor: 76404158135984388385247202346655442800832104413331625532100747
Sat Mar  6 16:26:30 2021  p112 factor: 3156822033239522403765522350375721114038895845437002252250376865394186049449807148534993674815147549542576829407
Sat Mar  6 16:26:30 2021  elapsed time 01:04:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 55x10^196+17 = 61(195)3
#
n: 241194329834792235012989732710787949320179334506098626588092963805458776747108358717054958195302960607218606503020057519278136635689988719144824046273267940967735607356267029
m: 1000000000000000000000000000000000000000
deg: 5
c5: 550
c0: 17
skew: 0.50
# Murphy_E = 2.04e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3949227 hash collisions in 30195178 relations (27886994 unique)
Msieve: matrix is 1603880 x 1604105 (560.5 MB)

Sieving start time : 2021/03/06 09:25:46
Sieving end time  : 2021/03/06 15:21:18

Total sieving time: 5hrs 55min 32secs.

Total relation processing time: 0hrs 50min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 8sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.154161] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400)
[    0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 12, 2011 21:52:37 UTC 2011 年 5 月 13 日 (金) 6 時 52 分 37 秒 (日本時間)
403e62710110Ignacio SantosMay 12, 2011 21:52:37 UTC 2011 年 5 月 13 日 (金) 6 時 52 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:45 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:54 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 54 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:33:16 UTC 2014 年 5 月 30 日 (金) 21 時 33 分 16 秒 (日本時間)
4511e61032 / 386232Ignacio SantosMay 12, 2011 21:52:37 UTC 2011 年 5 月 13 日 (金) 6 時 52 分 37 秒 (日本時間)
1000Dmitry DomanovJuly 17, 2014 10:15:51 UTC 2014 年 7 月 17 日 (木) 19 時 15 分 51 秒 (日本時間)

55×10197+179

c169

name 名前Bob Backstrom
date 日付March 23, 2021 19:29:05 UTC 2021 年 3 月 24 日 (水) 4 時 29 分 5 秒 (日本時間)
composite number 合成数
2515383406286594894761549662173567738925541790533091969369436215886794837212691774203542679162514510158886854607006323284068576134072396372162638346322769406613464314043<169>
prime factors 素因数
4213235470482687363272210358316373165525834879432090460694473313605523437176055467<82>
597019422225271725443186490171450291181441452589615617110090564463154744708476130516529<87>
factorization results 素因数分解の結果
Number: n
N=2515383406286594894761549662173567738925541790533091969369436215886794837212691774203542679162514510158886854607006323284068576134072396372162638346322769406613464314043  ( 169 digits)
SNFS difficulty: 198 digits.
Divisors found:

Wed Mar 24 06:23:06 2021  p82 factor: 4213235470482687363272210358316373165525834879432090460694473313605523437176055467
Wed Mar 24 06:23:06 2021  p87 factor: 597019422225271725443186490171450291181441452589615617110090564463154744708476130516529
Wed Mar 24 06:23:06 2021  elapsed time 01:36:58 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 55x10^197+17 = 61(196)3
#
n: 2515383406286594894761549662173567738925541790533091969369436215886794837212691774203542679162514510158886854607006323284068576134072396372162638346322769406613464314043
m: 1000000000000000000000000000000000000000
deg: 5
c5: 5500
c0: 17
skew: 0.31
# Murphy_E = 1.355e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4163609 hash collisions in 28192247 relations (25375271 unique)
Msieve: matrix is 2132707 x 2132932 (744.0 MB)

Sieving start time : 2021/03/23 19:55:25
Sieving end time  : 2021/03/24 04:45:26

Total sieving time: 8hrs 50min 1secs.

Total relation processing time: 1hrs 25min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 23sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] 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)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 12, 2011 22:23:26 UTC 2011 年 5 月 13 日 (金) 7 時 23 分 26 秒 (日本時間)
403e62710110Ignacio SantosMay 12, 2011 22:23:26 UTC 2011 年 5 月 13 日 (金) 7 時 23 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:46 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:55 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 55 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:33:30 UTC 2014 年 5 月 30 日 (金) 21 時 33 分 30 秒 (日本時間)
4511e61032 / 386232Ignacio SantosMay 12, 2011 22:23:26 UTC 2011 年 5 月 13 日 (金) 7 時 23 分 26 秒 (日本時間)
1000Dmitry DomanovJuly 17, 2014 10:16:04 UTC 2014 年 7 月 17 日 (木) 19 時 16 分 4 秒 (日本時間)

55×10198+179

c116

name 名前Sinkiti Sibata
date 日付May 4, 2009 08:50:31 UTC 2009 年 5 月 4 日 (月) 17 時 50 分 31 秒 (日本時間)
composite number 合成数
11236149299485819172193467158358845712816422607187364966823244656600967795679114846372943980099447926176442738978967<116>
prime factors 素因数
746799927063051765367184540694213571283990251<45>
15045728972784379234711971257195171910039681620386470902747042503219717<71>
factorization results 素因数分解の結果
Number: 61113_198
N=11236149299485819172193467158358845712816422607187364966823244656600967795679114846372943980099447926176442738978967
  ( 116 digits)
Divisors found:
 r1=746799927063051765367184540694213571283990251 (pp45)
 r2=15045728972784379234711971257195171910039681620386470902747042503219717 (pp71)
Version: Msieve-1.40
Total time: 24.09 hours.
Scaled time: 61.77 units (timescale=2.564).
Factorization parameters were as follows:
name: 61113_198
# Murphy_E = 6.103973e-10, selected by Jeff Gilchrist
n: 11236149299485819172193467158358845712816422607187364966823244656600967795679114846372943980099447926176442738978967
Y0: -15107092040465287704648
Y1: 2323038215251
c0: -686769523076129772705030731
c1: 114042434326443914589151
c2: 9623962751739062717
c3: -19077419576851
c4: -3224939526
c5: 14280
skew: 51529.25
type: gnfs
# selected mechanically
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1950000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 510153 x 510401
Total sieving time: 24.09 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,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3900000,3900000,27,27,51,51,2.5,2.5,100000
total time: 24.09 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10200+179

c121

name 名前Sinkiti Sibata
date 日付May 3, 2009 07:08:41 UTC 2009 年 5 月 3 日 (日) 16 時 8 分 41 秒 (日本時間)
composite number 合成数
1791724184900878326582352306606968086033777211959517288152525947796636786189303669848348229317960681422557856295643605237<121>
prime factors 素因数
7969824024706850311637866653194343659977<40>
224813519012018880758200954355240402897525050961812494056620389047570537939602381<81>
factorization results 素因数分解の結果
Number: 61113_200
N=1791724184900878326582352306606968086033777211959517288152525947796636786189303669848348229317960681422557856295643605237
  ( 121 digits)
Divisors found:
 r1=7969824024706850311637866653194343659977 (pp40)
 r2=224813519012018880758200954355240402897525050961812494056620389047570537939602381 (pp81)
Version: Msieve-1.40
Total time: 50.53 hours.
Scaled time: 130.10 units (timescale=2.575).
Factorization parameters were as follows:
name: 61113_200
# Murphy_E = 2.721748e-10, selected by Jeff Gilchrist
n: 1791724184900878326582352306606968086033777211959517288152525947796636786189303669848348229317960681422557856295643605237
Y0: -176569456505448007089270
Y1: 7053922909259
c0: 692473754981649357842549234393
c1: 21424563729501290145330269
c2: 167347493654071875953
c3: -1379857106816429
c4: -4358776066
c5: 10440
skew: 217623.68
type: gnfs
# selected mechanically
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2650000, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 748338 x 748586
Total sieving time: 50.53 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,5300000,5300000,27,27,52,52,2.5,2.5,100000
total time: 50.53 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
3025e40--
351e6118 / 904Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)

55×10202+179

c150

name 名前Dmitry Domanov
date 日付July 18, 2014 09:38:49 UTC 2014 年 7 月 18 日 (金) 18 時 38 分 49 秒 (日本時間)
composite number 合成数
477688711964801662112531752104651509275646894913575555781696051552401559095080014741439187574863050298401397106518873789843184039324594483100510244527<150>
prime factors 素因数
27751523619000267652000577245231168815296443<44>
929503137826049744624150510614077083276228483173141<51>
18518563145653883296300934770177423641695903960629018729<56>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3273040819
Step 1 took 59430ms
********** Factor found in step 1: 27751523619000267652000577245231168815296443
Found probable prime factor of 44 digits: 27751523619000267652000577245231168815296443
Composite cofactor 17213062551915126797417215017626453421216571306025723832255729028200038734133400861361803583937527038757789 has 107 digits

N=17213062551915126797417215017626453421216571306025723832255729028200038734133400861361803583937527038757789
  ( 107 digits)
Divisors found:
 r1=929503137826049744624150510614077083276228483173141 (pp51)
 r2=18518563145653883296300934770177423641695903960629018729 (pp56)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 8.72 hours.
Scaled time: 16.02 units (timescale=1.836).
Factorization parameters were as follows:
n: 17213062551915126797417215017626453421216571306025723832255729028200038734133400861361803583937527038757789
skew: 7812441.53
c0: 1668165532049287469663056647090
c1: 396254315115146920404991
c2: -106027967419289599
c3: -14794312545
c4: 1188
Y0: -61696496551430990194438163
Y1: 3497491152079
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 120000
type: gnfs
Factor base limits: 2780000/2780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1390000, 2230001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 355214 x 355449
Total sieving time: 8.38 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,106,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2780000,2780000,26,26,52,52,2.5,2.5,150000
total time: 8.72 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
351e6418118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 13, 2011 06:32:03 UTC 2011 年 5 月 13 日 (金) 15 時 32 分 3 秒 (日本時間)
403e62710110Ignacio SantosMay 13, 2011 06:32:03 UTC 2011 年 5 月 13 日 (金) 15 時 32 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:47 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 47 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:55 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 55 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:33:45 UTC 2014 年 5 月 30 日 (金) 21 時 33 分 45 秒 (日本時間)
4511e61532 / 386232Ignacio SantosMay 13, 2011 06:32:03 UTC 2011 年 5 月 13 日 (金) 15 時 32 分 3 秒 (日本時間)
1500Dmitry DomanovJuly 17, 2014 10:16:18 UTC 2014 年 7 月 17 日 (木) 19 時 16 分 18 秒 (日本時間)

55×10204+179

c175

name 名前Serge Batalov
date 日付May 18, 2014 23:56:06 UTC 2014 年 5 月 19 日 (月) 8 時 56 分 6 秒 (日本時間)
composite number 合成数
1404805801514659919279484988501375209115694809803805915493717288598646326826150273961257335364743433944534487253008281588759556970045679389688038498132050793893772463456272683<175>
prime factors 素因数
44760212170913117642993963823919460036173<41>
composite cofactor 合成数の残り
31385146168443678058310121332097038287695078224422769815117927012135864915901162162220117655131693041477593336147367773048616683542871<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4269962917
Step 1 took 15482ms
Step 2 took 11333ms
********** Factor found in step 2: 44760212170913117642993963823919460036173
Found probable prime factor of 41 digits: 44760212170913117642993963823919460036173
Composite cofactor

c134

name 名前Erik Branger
date 日付June 13, 2014 10:00:24 UTC 2014 年 6 月 13 日 (金) 19 時 0 分 24 秒 (日本時間)
composite number 合成数
31385146168443678058310121332097038287695078224422769815117927012135864915901162162220117655131693041477593336147367773048616683542871<134>
prime factors 素因数
727984110888647786522154206075615335939712394520657237609961407<63>
43112405475624920385625498078316203240032477319390624628309162720846953<71>
factorization results 素因数分解の結果
Number: 61113_204
N = 31385146168443678058310121332097038287695078224422769815117927012135864915901162162220117655131693041477593336147367773048616683542871 (134 digits)
Divisors found:
r1=727984110888647786522154206075615335939712394520657237609961407 (pp63)
r2=43112405475624920385625498078316203240032477319390624628309162720846953 (pp71)
Version: Msieve v. 1.51 (SVN 845)
Total time: 153.24 hours.
Factorization parameters were as follows:
# Murphy_E = 4.83e-11, selected by Dmitry Domanov
n: 31385146168443678058310121332097038287695078224422769815117927012135864915901162162220117655131693041477593336147367773048616683542871
Y0: -42573590539986468766061735
Y1: 47700677043383
c0: 1342666966504974924657281687837952
c1: 17491737707824666135705421356
c2: 30097738279651567493205
c3: -172187388497742636
c4: -42250435652
c5: 224400
skew: 479978.41
type: gnfs
# selected mechanically
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20217021
Relations: 2806256 relations
Pruned matrix : 1684069 x 1684296
Polynomial selection time: 0.00 hours.
Total sieving time: 149.91 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.86 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12200000,12200000,28,28,54,54,2.6,2.6,100000
total time: 153.24 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
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
351e6418118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 13, 2011 06:32:27 UTC 2011 年 5 月 13 日 (金) 15 時 32 分 27 秒 (日本時間)
403e6410110Ignacio SantosMay 13, 2011 06:32:27 UTC 2011 年 5 月 13 日 (金) 15 時 32 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:48 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 48 秒 (日本時間)
4511e62132 / 437132Ignacio SantosMay 13, 2011 06:32:27 UTC 2011 年 5 月 13 日 (金) 15 時 32 分 27 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:34:58 UTC 2014 年 5 月 25 日 (日) 2 時 34 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:59 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 59 秒 (日本時間)

55×10205+179

c168

name 名前Bob Backstrom
date 日付April 3, 2024 13:43:39 UTC 2024 年 4 月 3 日 (水) 22 時 43 分 39 秒 (日本時間)
composite number 合成数
689877070481645334943685393173260644971041568427243775894175243704165467582682487095107328603543135356026350207403949692123224286364677058285962861964727525093233870599<168>
prime factors 素因数
27066081504124951115736965511777095692825433060047<50>
25488620152736406369206405050696245117236110240479676926902820412535220255066249539752601991713570926971529973665273417<119>
factorization results 素因数分解の結果
Number: n
N=689877070481645334943685393173260644971041568427243775894175243704165467582682487095107328603543135356026350207403949692123224286364677058285962861964727525093233870599  ( 168 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Apr  3 23:37:31 2024  prp50 factor: 27066081504124951115736965511777095692825433060047
Wed Apr  3 23:37:31 2024  prp119 factor: 25488620152736406369206405050696245117236110240479676926902820412535220255066249539752601991713570926971529973665273417
Wed Apr  3 23:37:31 2024  elapsed time 03:17:16 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 55x10^205+17 = 61(204)3
#
n: 689877070481645334943685393173260644971041568427243775894175243704165467582682487095107328603543135356026350207403949692123224286364677058285962861964727525093233870599
m: 100000000000000000000000000000000000000000
deg: 5
c5: 55
c0: 17
skew: 0.79
# Murphy_E = 8.818e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3928969 hash collisions in 19621426 relations (15921263 unique)
Msieve: matrix is 2394104 x 2394329 (678.0 MB)

Sieving start time: 2024/04/03 04:24:51
Sieving end time  : 2024/04/03 20:19:51

Total sieving time: 15hrs 55min 0secs.

Total relation processing time: 2hrs 53min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 23sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 29, 2009 14:00:00 UTC 2009 年 4 月 29 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 13, 2011 06:32:50 UTC 2011 年 5 月 13 日 (金) 15 時 32 分 50 秒 (日本時間)
403e62710110Ignacio SantosMay 13, 2011 06:32:50 UTC 2011 年 5 月 13 日 (金) 15 時 32 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:49 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:56 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 56 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:34:06 UTC 2014 年 5 月 30 日 (金) 21 時 34 分 6 秒 (日本時間)
4511e61532 / 386232Ignacio SantosMay 13, 2011 06:32:50 UTC 2011 年 5 月 13 日 (金) 15 時 32 分 50 秒 (日本時間)
1500Dmitry DomanovJuly 17, 2014 10:16:31 UTC 2014 年 7 月 17 日 (木) 19 時 16 分 31 秒 (日本時間)

55×10206+179

c187

name 名前Bob Backstrom
date 日付November 28, 2021 13:37:20 UTC 2021 年 11 月 28 日 (日) 22 時 37 分 20 秒 (日本時間)
composite number 合成数
1532734925404115293527186102269327513956002721505692902661964596222958787108040479116057940239236869105782391733661724738788675711613495869983416635614905762109185547130281064930943671683<187>
prime factors 素因数
2754712127504283941177879655840935599209553691260967849<55>
556404754638642976783141777914629715391678851603927540419196627881748650071903931792976321227772946206945261299932192933826855144267<132>
factorization results 素因数分解の結果
Number: n
N=1532734925404115293527186102269327513956002721505692902661964596222958787108040479116057940239236869105782391733661724738788675711613495869983416635614905762109185547130281064930943671683  ( 187 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Nov 29 00:28:13 2021  p55 factor: 2754712127504283941177879655840935599209553691260967849
Mon Nov 29 00:28:13 2021  p132 factor: 556404754638642976783141777914629715391678851603927540419196627881748650071903931792976321227772946206945261299932192933826855144267
Mon Nov 29 00:28:13 2021  elapsed time 02:26:58 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 55x10^206+17 = 61(205)3
#
n: 1532734925404115293527186102269327513956002721505692902661964596222958787108040479116057940239236869105782391733661724738788675711613495869983416635614905762109185547130281064930943671683
m: 100000000000000000000000000000000000000000
deg: 5
c5: 550
c0: 17
skew: 0.50
# Murphy_E = 6.887e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11205737 hash collisions in 73337925 relations (63490284 unique)
Msieve: matrix is 2474045 x 2474272 (848.7 MB)

Sieving start time : 2021/11/28 03:19:26
Sieving end time  : 2021/11/28 21:59:46

Total sieving time: 18hrs 40min 20secs.

Total relation processing time: 1hrs 59min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 15sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved)
[    0.152615] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284)
[    0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 3, 2014 05:39:32 UTC 2014 年 1 月 3 日 (金) 14 時 39 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:50 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 50 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:56 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 56 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:34:21 UTC 2014 年 5 月 30 日 (金) 21 時 34 分 21 秒 (日本時間)
4511e61500 / 3836Dmitry DomanovJuly 17, 2014 10:16:46 UTC 2014 年 7 月 17 日 (木) 19 時 16 分 46 秒 (日本時間)

55×10209+179

c195

name 名前Serge Batalov
date 日付January 9, 2014 09:33:46 UTC 2014 年 1 月 9 日 (木) 18 時 33 分 46 秒 (日本時間)
composite number 合成数
170276942470650126135015716660733905288964748983374559356534437026208892950749346207166976591963896779931280195130622094375734741925441900969200227690886873475902284802341608626339712802436953483<195>
prime factors 素因数
691751471475190133243927877654924551<36>
composite cofactor 合成数の残り
246153350577667918939017922299741128009743848899002680045146664927643758076463575347276111937980021457632051175385639107227123594790264690005735720508927178333<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=23890350
Step 1 took 17523ms
Step 2 took 6799ms
********** Factor found in step 2: 691751471475190133243927877654924551
Found probable prime factor of 36 digits: 691751471475190133243927877654924551
Composite cofactor

c159

name 名前Cyp
date 日付February 17, 2014 18:13:59 UTC 2014 年 2 月 18 日 (火) 3 時 13 分 59 秒 (日本時間)
composite number 合成数
246153350577667918939017922299741128009743848899002680045146664927643758076463575347276111937980021457632051175385639107227123594790264690005735720508927178333<159>
prime factors 素因数
4714350669081736354339833266815763857<37>
52213627677725084257151440007187015163069687010150025607268070475709188256797393526593785456625391782075660933288949894669<122>
factorization results 素因数分解の結果
Run 267 out of 393:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3813196524
Step 1 took 50225ms
Step 2 took 16713ms
********** Factor found in step 2: 4714350669081736354339833266815763857
Found probable prime factor of 37 digits: 4714350669081736354339833266815763857
Probable prime cofactor 52213627677725084257151440007187015163069687010150025607268070475709188256797393526593785456625391782075660933288949894669 has 122 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e6590 / 1024290CypJanuary 4, 2014 06:06:02 UTC 2014 年 1 月 4 日 (土) 15 時 6 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:50 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 50 秒 (日本時間)
4511e6267 / 4208CypFebruary 17, 2014 18:13:58 UTC 2014 年 2 月 18 日 (火) 3 時 13 分 58 秒 (日本時間)
5043e639 / 7471CypJanuary 12, 2014 04:46:25 UTC 2014 年 1 月 12 日 (日) 13 時 46 分 25 秒 (日本時間)

55×10210+179

c191

name 名前Cyp
date 日付January 5, 2014 22:50:18 UTC 2014 年 1 月 6 日 (月) 7 時 50 分 18 秒 (日本時間)
composite number 合成数
10636927381784632874722769948181513232846968172154973501147392619920271620728666208906031758661886378576000702353693320866550136539969044610251112493154178289980840125558188234801847904765189<191>
prime factors 素因数
267508718089419575108279157451637<33>
composite cofactor 合成数の残り
39762918598522271668835172182514489498347643624461369082692344832176444967753732937022672193565212344734648843175559290880669545854280664973175064987557417297<158>
factorization results 素因数分解の結果
Input number is 10636927381784632874722769948181513232846968172154973501147392619920271620728666208906031758661886378576000702353693320866550136539969044610251112493154178289980840125558188234801847904765189 (191 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=42359957
Step 1 took 16057ms
Step 2 took 5630ms
********** Factor found in step 2: 267508718089419575108279157451637
Found probable prime factor of 33 digits: 267508718089419575108279157451637
Composite cofactor 39762918598522271668835172182514489498347643624461369082692344832176444967753732937022672193565212344734648843175559290880669545854280664973175064987557417297 has 158 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c158

name 名前Serge Batalov
date 日付May 26, 2014 18:23:28 UTC 2014 年 5 月 27 日 (火) 3 時 23 分 28 秒 (日本時間)
composite number 合成数
39762918598522271668835172182514489498347643624461369082692344832176444967753732937022672193565212344734648843175559290880669545854280664973175064987557417297<158>
prime factors 素因数
50961180376960304262850448020640789147<38>
composite cofactor 合成数の残り
780258979568283335019987274698014411632394722876492399184590462600561304242011240589710737229561469963354796566442296451<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1929152358
Step 1 took 12415ms
Step 2 took 5617ms
********** Factor found in step 2: 50961180376960304262850448020640789147
Found probable prime factor of 38 digits: 50961180376960304262850448020640789147
Composite cofactor

c120

name 名前Serge Batalov
date 日付May 28, 2014 16:29:34 UTC 2014 年 5 月 29 日 (木) 1 時 29 分 34 秒 (日本時間)
composite number 合成数
780258979568283335019987274698014411632394722876492399184590462600561304242011240589710737229561469963354796566442296451<120>
prime factors 素因数
1530464392907546447086269261029066425216269157489<49>
509818446730382613848351530867209753996771760099458569073270950441681459<72>
factorization results 素因数分解の結果
Divisors found:
 r1=1530464392907546447086269261029066425216269157489 (pp49)
 r2=509818446730382613848351530867209753996771760099458569073270950441681459 (pp72)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 20.69 hours.
Scaled time: 49.67 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  780258979568283335019987274698014411632394722876492399184590462600561304242011240589710737229561469963354796566442296451
skew:  587835.23
Y0:  -304105023454050621735169
Y1:  743809115633
c0:  -5511497253885073660993541059200
c1:  45801439232663070205431218
c2:  8027871587056835563
c3:  -522473835162748
c4:  -127219418
c5:  300
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1650000, 3450001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 718019 x 718244
Total sieving time: 19.24 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.71 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3300000,3300000,27,27,53,53,2.5,2.5,100000
total time: 20.69 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61890 / 2318290CypJanuary 5, 2014 22:50:17 UTC 2014 年 1 月 6 日 (月) 7 時 50 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:51 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:56 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 56 秒 (日本時間)

55×10211+179

c187

composite cofactor 合成数の残り
1270017596074338948465757370556625676406836529632308776179515903138546282075564631783552034345886896683338903828632494204151215464970905116912622732007171140832298579281782485426967718837<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 3, 2014 11:25:32 UTC 2014 年 1 月 3 日 (金) 20 時 25 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:52 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:57 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 57 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:34:37 UTC 2014 年 5 月 30 日 (金) 21 時 34 分 37 秒 (日本時間)
4511e61500 / 3699Dmitry DomanovJuly 17, 2014 10:17:02 UTC 2014 年 7 月 17 日 (木) 19 時 17 分 2 秒 (日本時間)
5043e639 / 7107CypJanuary 26, 2014 00:24:45 UTC 2014 年 1 月 26 日 (日) 9 時 24 分 45 秒 (日本時間)

55×10212+179

c201

name 名前Cyp
date 日付January 6, 2014 14:11:03 UTC 2014 年 1 月 6 日 (月) 23 時 11 分 3 秒 (日本時間)
composite number 合成数
716076401332186393652475957384127830757214830264422072064602154300315305108970990855492368120716500597279541759977762600509886603459476732683069525724754397506153426304685058969485798476069778966552371<201>
prime factors 素因数
115909099714556671674873708941<30>
6177913581380845925184697171503055424142433369036307220728306295443981686242987233274734218447663364047878323922466732792182573550996465555510391663259928445063092129207231<172>
factorization results 素因数分解の結果
Run 43 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1877734103
Step 1 took 18855ms
Step 2 took 6089ms
********** Factor found in step 2: 115909099714556671674873708941
Found probable prime factor of 30 digits: 115909099714556671674873708941
Probable prime cofactor 6177913581380845925184697171503055424142433369036307220728306295443981686242987233274734218447663364047878323922466732792182573550996465555510391663259928445063092129207231 has 172 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 784Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e643 / 2318CypJanuary 6, 2014 14:11:01 UTC 2014 年 1 月 6 日 (月) 23 時 11 分 1 秒 (日本時間)

55×10214+179

c202

composite cofactor 合成数の残り
4564077427517945731219333877908453549718758864436783924636339316888872483368639143088069368920751691823785356049968734302044351194201801700204188493013651643002297167711898165083828849861783406731451579<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 02:53:44 UTC 2014 年 1 月 5 日 (日) 11 時 53 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:52 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 52 秒 (日本時間)
4511e62193 / 4208393CypFebruary 19, 2014 15:49:39 UTC 2014 年 2 月 20 日 (木) 0 時 49 分 39 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:00 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 0 秒 (日本時間)
1500Dmitry DomanovJuly 17, 2014 10:17:15 UTC 2014 年 7 月 17 日 (木) 19 時 17 分 15 秒 (日本時間)
5043e639 / 7038CypJanuary 11, 2014 21:13:20 UTC 2014 年 1 月 12 日 (日) 6 時 13 分 20 秒 (日本時間)

55×10216+179

c157

composite cofactor 合成数の残り
1036179603328839962489307654033059230097861024380773431963899480432480719986707142482365081576482518796571552318285443138614279577353231201492343345705415481<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 2, 2014 23:21:23 UTC 2014 年 1 月 3 日 (金) 8 時 21 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:53 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:57 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 57 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:35:02 UTC 2014 年 5 月 30 日 (金) 21 時 35 分 2 秒 (日本時間)
4511e61500 / 3836Dmitry DomanovJuly 17, 2014 10:17:26 UTC 2014 年 7 月 17 日 (木) 19 時 17 分 26 秒 (日本時間)

55×10217+179

c166

composite cofactor 合成数の残り
1860685937539706687879902670659497982265890316867063826441827956293920998116982945393348972593468784404645274201548626503635953093944431057646197527076350658195555739<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 5, 2014 07:35:23 UTC 2014 年 1 月 5 日 (日) 16 時 35 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:54 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:57 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 57 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:35:17 UTC 2014 年 5 月 30 日 (金) 21 時 35 分 17 秒 (日本時間)
4511e61500 / 3699Dmitry DomanovJuly 17, 2014 10:17:41 UTC 2014 年 7 月 17 日 (木) 19 時 17 分 41 秒 (日本時間)
5043e639 / 7107CypJanuary 29, 2014 21:51:48 UTC 2014 年 1 月 30 日 (木) 6 時 51 分 48 秒 (日本時間)

55×10222+179

c187

name 名前Erik Branger
date 日付February 7, 2022 22:35:00 UTC 2022 年 2 月 8 日 (火) 7 時 35 分 0 秒 (日本時間)
composite number 合成数
6880456784021128902979386118924799779595587179152190345498032114615261033105933650096575876248942059536446953428926331616866850067659386564186883016621327948963373317011736751303177623359<187>
prime factors 素因数
39324553113713512201763872301285742531048591268368852722249139601<65>
174965924320236752160851006942562560654890776021265213437159944134708165994138696309031397333440198725384679409460271146959<123>
factorization results 素因数分解の結果
Number: 61113_222
N = 6880456784021128902979386118924799779595587179152190345498032114615261033105933650096575876248942059536446953428926331616866850067659386564186883016621327948963373317011736751303177623359 (187 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=39324553113713512201763872301285742531048591268368852722249139601 (pp65)
r2=174965924320236752160851006942562560654890776021265213437159944134708165994138696309031397333440198725384679409460271146959 (pp123)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 78.39 hours.
Factorization parameters were as follows:
n: 6880456784021128902979386118924799779595587179152190345498032114615261033105933650096575876248942059536446953428926331616866850067659386564186883016621327948963373317011736751303177623359
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5500
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34292321
Relations: 9636074 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 29.53 hours.
Total relation processing time: 0.47 hours.
Pruned matrix : 8209582 x 8209807
Matrix solve time: 48.12 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 78.39 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 3, 2014 09:39:36 UTC 2014 年 1 月 3 日 (金) 18 時 39 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:54 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:58 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 58 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:35:35 UTC 2014 年 5 月 30 日 (金) 21 時 35 分 35 秒 (日本時間)
4511e61500 / 3836Dmitry DomanovJuly 17, 2014 10:17:57 UTC 2014 年 7 月 17 日 (木) 19 時 17 分 57 秒 (日本時間)

55×10223+179

c218

name 名前Serge Batalov
date 日付May 19, 2014 05:56:12 UTC 2014 年 5 月 19 日 (月) 14 時 56 分 12 秒 (日本時間)
composite number 合成数
78968085263708177604679734879729452468319798921410817967220778542045264793629831213614557350141187757534668066268294213261785376517676862307944232451030095598764020245119808225287045400475158147948574259936231117474503<218>
prime factors 素因数
21320098512537307633705553249288057101<38>
composite cofactor 合成数の残り
3703926847114280793293094806506822200029099701176344451896796154007901863971303266745714360930496321372915662816949326413791056611042965703138024030254684937509365268983109152583203<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1094402787
Step 1 took 18402ms
Step 2 took 11867ms
********** Factor found in step 2: 21320098512537307633705553249288057101
Found probable prime factor of 38 digits: 21320098512537307633705553249288057101
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 3, 2014 21:36:55 UTC 2014 年 1 月 4 日 (土) 6 時 36 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:55 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 55 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:58 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 58 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:35:55 UTC 2014 年 5 月 30 日 (金) 21 時 35 分 55 秒 (日本時間)
4511e61501 / 38361CypJanuary 10, 2014 17:47:40 UTC 2014 年 1 月 11 日 (土) 2 時 47 分 40 秒 (日本時間)
1500Dmitry DomanovJuly 18, 2014 12:46:50 UTC 2014 年 7 月 18 日 (金) 21 時 46 分 50 秒 (日本時間)

55×10224+179

c204

name 名前Cyp
date 日付January 5, 2014 08:39:54 UTC 2014 年 1 月 5 日 (日) 17 時 39 分 54 秒 (日本時間)
composite number 合成数
504622282818558320619328325232132399898923027148039427399590555319854387460135117162708554396227960168260062435183796698317620269293689169303165686189382867018092322272428401428612269132159678489881943349<204>
prime factors 素因数
167889618607452850067869996829<30>
7157550058431074586601113605891192408411<40>
composite cofactor 合成数の残り
419931242865072211444546438884696127364083589012057522108311921195208545290582143966822193944538863717025575927114903237287891672979771<135>
factorization results 素因数分解の結果
Input number is 504622282818558320619328325232132399898923027148039427399590555319854387460135117162708554396227960168260062435183796698317620269293689169303165686189382867018092322272428401428612269132159678489881943349 (204 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4194720104
Step 1 took 18788ms
Step 2 took 6311ms
********** Factor found in step 2: 167889618607452850067869996829
Found probable prime factor of 30 digits: 167889618607452850067869996829
Composite cofactor 3005678891905931380118054468456406161129868395985963131159000315371741501588261818908595588590919614030751466316367031464092433833592597949581489971363974037695769130373253881 has 175 digits
--
Run 228 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4146090509
Step 1 took 16195ms
Step 2 took 5536ms
********** Factor found in step 2: 7157550058431074586601113605891192408411
Found probable prime factor of 40 digits: 7157550058431074586601113605891192408411
Composite cofactor 419931242865072211444546438884696127364083589012057522108311921195208545290582143966822193944538863717025575927114903237287891672979771 has 135 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c135

name 名前Erik Branger
date 日付June 15, 2014 08:49:04 UTC 2014 年 6 月 15 日 (日) 17 時 49 分 4 秒 (日本時間)
composite number 合成数
419931242865072211444546438884696127364083589012057522108311921195208545290582143966822193944538863717025575927114903237287891672979771<135>
prime factors 素因数
2721169169277624848553183126625247666132580961<46>
154320153118796820495005557241172731617410671011503292497447100218192522033226027780477211<90>
factorization results 素因数分解の結果
Number: 61113_224
N = 419931242865072211444546438884696127364083589012057522108311921195208545290582143966822193944538863717025575927114903237287891672979771 (135 digits)
Divisors found:
r1=2721169169277624848553183126625247666132580961 (pp46)
r2=154320153118796820495005557241172731617410671011503292497447100218192522033226027780477211 (pp90)
Version: Msieve v. 1.51 (SVN 845)
Total time: 175.34 hours.
Factorization parameters were as follows:
# Murphy_E = 4.185e-11, selected by Erik Branger
# expecting poly E from 4.36e-011 to > 5.01e-011
n: 419931242865072211444546438884696127364083589012057522108311921195208545290582143966822193944538863717025575927114903237287891672979771
Y0: -150715056807085709366749600
Y1: 139703464597661
c0: -1012365853048739467531900535760729
c1: 17004578372688143253134735307
c2: -58347709793761560812938
c3: -16482209126427125
c4: 16360175445
c5: 5400
skew: 1313395.32
type: gnfs
# selected mechanically
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20706613
Relations: 3145028 relations
Pruned matrix : 1889219 x 1889447
Polynomial selection time: 0.00 hours.
Total sieving time: 171.34 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.11 hours.
time per square root: 0.71 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13000000,13000000,28,28,54,54,2.6,2.6,100000
total time: 175.34 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
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
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61038290CypJanuary 5, 2014 08:39:53 UTC 2014 年 1 月 5 日 (日) 17 時 39 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:56 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 56 秒 (日本時間)
448Andreas TeteFebruary 4, 2014 17:04:03 UTC 2014 年 2 月 5 日 (水) 2 時 4 分 3 秒 (日本時間)
4511e62560 / 4246230Ignacio SantosFebruary 3, 2014 21:32:46 UTC 2014 年 2 月 4 日 (火) 6 時 32 分 46 秒 (日本時間)
230Ignacio SantosFebruary 4, 2014 22:31:15 UTC 2014 年 2 月 5 日 (水) 7 時 31 分 15 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:34:59 UTC 2014 年 5 月 25 日 (日) 2 時 34 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:00 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 0 秒 (日本時間)

55×10225+179

c174

composite cofactor 合成数の残り
214121356654391037827410178760760220778384045436882439598475716915254217696065616237269680312540760096858871254697206164314683400138900269113529387716035816658394730401965949<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 2, 2014 21:11:50 UTC 2014 年 1 月 3 日 (金) 6 時 11 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:57 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 57 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:58 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 58 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:36:17 UTC 2014 年 5 月 30 日 (金) 21 時 36 分 17 秒 (日本時間)
4511e61500 / 3836Dmitry DomanovJuly 18, 2014 12:47:07 UTC 2014 年 7 月 18 日 (金) 21 時 47 分 7 秒 (日本時間)

55×10226+179

c222

name 名前Serge Batalov
date 日付October 27, 2013 21:02:12 UTC 2013 年 10 月 28 日 (月) 6 時 2 分 12 秒 (日本時間)
composite number 合成数
799873183742504824689612846835919832346580687570988745057147303191203140156687885120759036021925251123821823158219278688906049804467364446945866037239186805291960983640411920146478594666445610804977828969661537298086557913<222>
prime factors 素因数
66185583236979437068974139058233<32>
12085308380203212049127073022298598881225101065430577566370155704476236848306605208807863346109438236904174093900928100431549032425339226317457423171165443497277555918272737290745656261612961<191>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3715519850
Step 1 took 21506ms
Step 2 took 14669ms
********** Factor found in step 2: 66185583236979437068974139058233
Found probable prime factor of 32 digits: 66185583236979437068974139058233
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)

55×10227+179

c215

name 名前Serge Batalov
date 日付January 9, 2014 07:32:09 UTC 2014 年 1 月 9 日 (木) 16 時 32 分 9 秒 (日本時間)
composite number 合成数
57709180676290700905606414917680994693562051832400225778188844383650523144002993452379461186647229085824577039752122327753401875957277255965458146370681538339617510144995227732858855453885893698468697207369245086943<215>
prime factors 素因数
15573503354363544251860658819973797<35>
composite cofactor 合成数の残り
3705600426773668075376615334184758528812282086653540799796381789934836561220742938936879547649689524024998143820000706050210268063521895329343665350089609475938381341155390246778419<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=423366665
Step 1 took 20189ms
Step 2 took 7547ms
********** Factor found in step 2: 15573503354363544251860658819973797
Found probable prime factor of 35 digits: 15573503354363544251860658819973797
Composite cofactor

c181

name 名前Cyp
date 日付February 11, 2014 22:26:25 UTC 2014 年 2 月 12 日 (水) 7 時 26 分 25 秒 (日本時間)
composite number 合成数
3705600426773668075376615334184758528812282086653540799796381789934836561220742938936879547649689524024998143820000706050210268063521895329343665350089609475938381341155390246778419<181>
prime factors 素因数
42049318577572532509950315462293235779<38>
composite cofactor 合成数の残り
88125100527790500332174159816123966721628152358811243671670999054982559597718444635051028444197795182084821431930027430716349775762547308942161<143>
factorization results 素因数分解の結果
Run 150 out of 189:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=30894086
Step 1 took 232213ms
Step 2 took 57336ms
********** Factor found in step 2: 42049318577572532509950315462293235779
Found probable prime factor of 38 digits: 42049318577572532509950315462293235779
Composite cofactor 88125100527790500332174159816123966721628152358811243671670999054982559597718444635051028444197795182084821431930027430716349775762547308942161 has 143 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c143

name 名前Erik Branger
date 日付December 10, 2017 13:34:38 UTC 2017 年 12 月 10 日 (日) 22 時 34 分 38 秒 (日本時間)
composite number 合成数
88125100527790500332174159816123966721628152358811243671670999054982559597718444635051028444197795182084821431930027430716349775762547308942161<143>
prime factors 素因数
12138225710707497275010922171592334275084678616457<50>
7260130321192880331906929570742670009463771098599616890979819526042180190436052111388405294473<94>
factorization results 素因数分解の結果
Number: 61113_227
N = 88125100527790500332174159816123966721628152358811243671670999054982559597718444635051028444197795182084821431930027430716349775762547308942161 (143 digits)
Divisors found:
r1=12138225710707497275010922171592334275084678616457 (pp50)
r2=7260130321192880331906929570742670009463771098599616890979819526042180190436052111388405294473 (pp94)
Version: Msieve v. 1.51 (SVN 845)
Total time: 494.38 hours.
Factorization parameters were as follows:
# Murphy_E = 1.366e-11, selected by Erik Branger
# expecting poly E from 1.36e-011 to > 1.57e-011
n: 88125100527790500332174159816123966721628152358811243671670999054982559597718444635051028444197795182084821431930027430716349775762547308942161
Y0: -6506020896487103373822316336
Y1: 2085355352639467
c0: 331300704089715797782150584592198275
c1: 2128962821710553480700832956610
c2: -474750799096120897208704
c3: -396324593622644010
c4: 30450737309
c5: 7560
skew: 3869229.48
type: gnfs
# selected mechanically
rlim: 22000000
alim: 22000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23594257
Relations: 4460794 relations
Pruned matrix : 2770406 x 2770633
Polynomial selection time: 0.00 hours.
Total sieving time: 485.53 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 7.82 hours.
time per square root: 0.82 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,22000000,22000000,28,28,56,56,2.6,2.6,100000
total time: 494.38 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
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
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 15:31:30 UTC 2014 年 1 月 6 日 (月) 0 時 31 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:59 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 59 秒 (日本時間)
4511e637001800Serge BatalovMay 24, 2014 17:35:45 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 45 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:01 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 1 秒 (日本時間)
1600Ignacio SantosDecember 21, 2015 15:31:11 UTC 2015 年 12 月 22 日 (火) 0 時 31 分 11 秒 (日本時間)
5043e6189 / 6700CypFebruary 11, 2014 22:26:24 UTC 2014 年 2 月 12 日 (水) 7 時 26 分 24 秒 (日本時間)

55×10228+179

c219

name 名前Serge Batalov
date 日付January 6, 2014 22:09:06 UTC 2014 年 1 月 7 日 (火) 7 時 9 分 6 秒 (日本時間)
composite number 合成数
476609218575458892166250325468018879661942652168411432498987224106606951246011442579927318012549878603074344857715390631772296774138540471239242925463124454811432219593700804379398197513688150660454185122783800291544093<219>
prime factors 素因数
80269533646013029252510467068581<32>
5937610409913375286945675277019538069680262288418606444000280203090928506245937734410579491930279067652276668120428339404879864428735164947264260133961957891095579010183688348351136035353<187>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=983835430
Step 1 took 6656ms
Step 2 took 4378ms
********** Factor found in step 2: 80269533646013029252510467068581
Found probable prime factor of 32 digits: 80269533646013029252510467068581
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:06 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 6 秒 (日本時間)

55×10231+179

c223

name 名前Serge Batalov
date 日付May 19, 2014 03:03:46 UTC 2014 年 5 月 19 日 (月) 12 時 3 分 46 秒 (日本時間)
composite number 合成数
5208874122492194313424142009263203568697247208417159709071549381245215913705619641569808346086250627141696488401512266360671185868618702889115186815124924409611903861928344086577110469254889790781955911460005818465819843389<223>
prime factors 素因数
31103666149748339089149605461029917<35>
167468172318147759768447035726418572660312889019908889224549054608474831643000127750243085066273546641945542490312486218695202408126577401197671801215033034209776184990127422709226127104417<189>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=68192630
Step 1 took 67169ms
Step 2 took 30832ms
********** Factor found in step 2: 31103666149748339089149605461029917
Found probable prime factor of 35 digits: 31103666149748339089149605461029917
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:07 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 7 秒 (日本時間)
403e6300 / 2100Serge BatalovJanuary 9, 2014 04:52:00 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 0 秒 (日本時間)

55×10232+179

c230

composite cofactor 合成数の残り
54032812653502308674722467825916101778170743687985067295412122998329894881619019550054032812653502308674722467825916101778170743687985067295412122998329894881619019550054032812653502308674722467825916101778170743687985067295412123<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e65250850Serge BatalovNovember 8, 2013 17:16:16 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 16 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:04 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 4 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:14 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 14 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:03 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:01 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 1 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:52 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 52 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:50 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 50 秒 (日本時間)

55×10233+179

c225

name 名前Serge Batalov
date 日付January 9, 2014 11:01:30 UTC 2014 年 1 月 9 日 (木) 20 時 1 分 30 秒 (日本時間)
composite number 合成数
100609209413496266602630814620696796430498210370965228601481345586122340256344880137914195488470925441699990009529285598409370930866184539173006421593100649240482563299097070644696007195811094971167713770742221568121142289647<225>
prime factors 素因数
21340425019486415472883543645046687<35>
composite cofactor 合成数の残り
4714489487516193595317265315382649866797912522719946239243134650958469049597433127953189615356218807087430130988987882639771942400897999876140967617954689817015052262110152911503628031484081<190>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4199050626
Step 1 took 18934ms
Step 2 took 6799ms
********** Factor found in step 2: 21340425019486415472883543645046687
Found probable prime factor of 35 digits: 21340425019486415472883543645046687
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:08 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 8 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:52:01 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:59 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 59 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:36:46 UTC 2014 年 5 月 30 日 (金) 21 時 36 分 46 秒 (日本時間)
4511e61500 / 3698Dmitry DomanovJuly 18, 2014 12:47:44 UTC 2014 年 7 月 18 日 (金) 21 時 47 分 44 秒 (日本時間)
5043e647 / 7113CypJanuary 12, 2014 05:59:57 UTC 2014 年 1 月 12 日 (日) 14 時 59 分 57 秒 (日本時間)

55×10234+179

c194

composite cofactor 合成数の残り
92172715454284731599289130661262866383160135137943677844386435514624343341237891362709659149387969482130457524318736195987389080589306655383955008252172787914134069307923013164761163811223837029<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:08 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 8 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:52:02 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:59 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 59 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:37:01 UTC 2014 年 5 月 30 日 (金) 21 時 37 分 1 秒 (日本時間)
4511e61500 / 3863Dmitry DomanovJuly 18, 2014 12:47:57 UTC 2014 年 7 月 18 日 (金) 21 時 47 分 57 秒 (日本時間)

55×10235+179

c215

name 名前Cyp
date 日付February 13, 2014 09:20:10 UTC 2014 年 2 月 13 日 (木) 18 時 20 分 10 秒 (日本時間)
composite number 合成数
11197184734575400000738408237679661377937172334819785343598618670969723853358362581243789195690284477360600419698458580842804025135483133870955713813970132390570659532518092772075694208666539283320070032263839922921<215>
prime factors 素因数
31361614536702832251319156732501192006441<41>
composite cofactor 合成数の残り
357034703091297011679006284921312142683065972057096183043553362553253287190319865264950676020255298580004059711852979254359092293906510378121128371611557507040179483523193281<174>
factorization results 素因数分解の結果
Run 31 out of 150:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=596449376
Step 1 took 314870ms
Step 2 took 71024ms
********** Factor found in step 2: 31361614536702832251319156732501192006441
Found probable prime factor of 41 digits: 31361614536702832251319156732501192006441
Composite cofactor 357034703091297011679006284921312142683065972057096183043553362553253287190319865264950676020255298580004059711852979254359092293906510378121128371611557507040179483523193281 has 174 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 00:34:18 UTC 2014 年 1 月 5 日 (日) 9 時 34 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:52:03 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 3 秒 (日本時間)
4511e61800 / 3682300Serge BatalovMay 27, 2014 00:34:02 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 2 秒 (日本時間)
1500Dmitry DomanovJuly 18, 2014 12:48:14 UTC 2014 年 7 月 18 日 (金) 21 時 48 分 14 秒 (日本時間)
5043e6189 / 712639CypFebruary 1, 2014 08:12:36 UTC 2014 年 2 月 1 日 (土) 17 時 12 分 36 秒 (日本時間)
150CypFebruary 13, 2014 09:20:08 UTC 2014 年 2 月 13 日 (木) 18 時 20 分 8 秒 (日本時間)

55×10236+179

c215

composite cofactor 合成数の残り
10149370536462617400979127580472764363356156467694572147183723939987796161467934196403733957287046309511207918786474537665160480239540998317026004191877133533417276639492319290889693649057795713502158749837970791921<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 1, 2014 20:03:37 UTC 2014 年 1 月 2 日 (木) 5 時 3 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:52:04 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:59 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 59 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:37:23 UTC 2014 年 5 月 30 日 (金) 21 時 37 分 23 秒 (日本時間)
4511e61500 / 3836Dmitry DomanovJuly 18, 2014 12:48:26 UTC 2014 年 7 月 18 日 (金) 21 時 48 分 26 秒 (日本時間)

55×10237+179

c223

name 名前Serge Batalov
date 日付May 27, 2014 00:05:15 UTC 2014 年 5 月 27 日 (火) 9 時 5 分 15 秒 (日本時間)
composite number 合成数
3192334501968276926605697606146865631217712622512125063244038937985208705426305334283384222101890539905282041443212837128718788840910050831496585314250541757267493316838843712298710662552449629118139760802857330483171583573<223>
prime factors 素因数
19920632113948835348074822104731760420691<41>
composite cofactor 合成数の残り
160252670884521721895977394390309761064657633962546080418550413615683658143039049683090418552009053417392801482992243207466425243876956765064416365079162006915691596670921577526136503<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3311035802
Step 1 took 18123ms
Step 2 took 6528ms
********** Factor found in step 2: 19920632113948835348074822104731760420691
Found probable prime factor of 41 digits: 19920632113948835348074822104731760420691
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:09 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 9 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:52:05 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:00 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 0 秒 (日本時間)
4511e61500 / 4084Dmitry DomanovJuly 18, 2014 12:48:40 UTC 2014 年 7 月 18 日 (金) 21 時 48 分 40 秒 (日本時間)

55×10239+179

c231

composite cofactor 合成数の残り
104229635419694528692401228546669954253569995882907228435985927086775088872464151739171221371494840149961315793349166473305863928639513947952968810532488937348248209004962480412561195617894716056082790733887116957702786230726828257<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 11:08:54 UTC 2014 年 1 月 5 日 (日) 20 時 8 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:52:05 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 5 秒 (日本時間)
4511e62193 / 4208393CypFebruary 15, 2014 21:53:38 UTC 2014 年 2 月 16 日 (日) 6 時 53 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:02 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 2 秒 (日本時間)
1500Dmitry DomanovJuly 18, 2014 12:48:58 UTC 2014 年 7 月 18 日 (金) 21 時 48 分 58 秒 (日本時間)
5043e639 / 7038CypJanuary 30, 2014 19:17:04 UTC 2014 年 1 月 31 日 (金) 4 時 17 分 4 秒 (日本時間)

55×10240+179

c195

composite cofactor 合成数の残り
554722950818201300822329967141812955259578397661349479204810908123372735246804221001095914351073617234518994875623107947627653932973944431731724049516783006601152853558977677557689140541914316021<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 2, 2014 04:53:06 UTC 2014 年 1 月 2 日 (木) 13 時 53 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:52:06 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:00 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 0 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:37:46 UTC 2014 年 5 月 30 日 (金) 21 時 37 分 46 秒 (日本時間)
4511e61500 / 3836Dmitry DomanovJuly 18, 2014 12:49:10 UTC 2014 年 7 月 18 日 (金) 21 時 49 分 10 秒 (日本時間)

55×10241+179

c241

name 名前Serge Batalov
date 日付February 24, 2014 00:19:30 UTC 2014 年 2 月 24 日 (月) 9 時 19 分 30 秒 (日本時間)
composite number 合成数
2910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910053<241>
prime factors 素因数
235750716674794758745849666006874959758357481<45>
composite cofactor 合成数の残り
12343771213502477485076586771656318609391340657381179051671972002679172856797089656577579222256166342313862853251371060638196481415744475951478051321692283444279127076067627879468795915059004038813<197>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=193819471
Step 1 took 301658ms
Step 2 took 153544ms
********** Factor found in step 2: 235750716674794758745849666006874959758357481
Found probable prime factor of 45 digits: 235750716674794758745849666006874959758357481
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e62050850Serge BatalovNovember 8, 2013 17:17:32 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 32 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:03 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 3 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:15 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 15 秒 (日本時間)
5043e61175 / 7093775Serge BatalovNovember 25, 2013 02:17:38 UTC 2013 年 11 月 25 日 (月) 11 時 17 分 38 秒 (日本時間)
400Serge BatalovFebruary 24, 2014 00:19:11 UTC 2014 年 2 月 24 日 (月) 9 時 19 分 11 秒 (日本時間)

55×10243+179

c226

composite cofactor 合成数の残り
1368214323400503047449544473872851996062835423706504806335692111919569897852409173007807951110136996315078315830287249220587456489140451212541559311151389394499141531260771733230805284276143381281505630514061685255095867676827<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 3, 2014 03:50:38 UTC 2014 年 1 月 3 日 (金) 12 時 50 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:52:07 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 7 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:00 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 0 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:38:08 UTC 2014 年 5 月 30 日 (金) 21 時 38 分 8 秒 (日本時間)
4511e61500 / 3699Dmitry DomanovJuly 18, 2014 12:49:30 UTC 2014 年 7 月 18 日 (金) 21 時 49 分 30 秒 (日本時間)
5043e639 / 7107CypJanuary 30, 2014 00:26:40 UTC 2014 年 1 月 30 日 (木) 9 時 26 分 40 秒 (日本時間)

55×10244+179

c230

name 名前Cyp
date 日付January 11, 2014 10:31:56 UTC 2014 年 1 月 11 日 (土) 19 時 31 分 56 秒 (日本時間)
composite number 合成数
20185461918459166165737228162813201829945481481726349933016169949131116640794883470995961831336965364514870332685127934608854960285885974676721972160965817585503654208303492390442911287188877575444754346938175053674956892750700039<230>
prime factors 素因数
11949578058801981106136574922891349822969279<44>
composite cofactor 合成数の残り
1689219637641572359209891667694361697458295371231881770954622061536270373302333643612608118196208715838676446529301391298264849970691109650590582175465933273055293819256429850395578112441<187>
factorization results 素因数分解の結果
Run 25 out of 39:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=957867509
Step 1 took 313725ms
Step 2 took 74295ms
********** Factor found in step 2: 11949578058801981106136574922891349822969279
Found probable prime factor of 44 digits: 11949578058801981106136574922891349822969279
Composite cofactor 1689219637641572359209891667694361697458295371231881770954622061536270373302333643612608118196208715838676446529301391298264849970691109650590582175465933273055293819256429850395578112441 has 187 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c187

name 名前Cyp
date 日付February 18, 2014 14:36:22 UTC 2014 年 2 月 18 日 (火) 23 時 36 分 22 秒 (日本時間)
composite number 合成数
1689219637641572359209891667694361697458295371231881770954622061536270373302333643612608118196208715838676446529301391298264849970691109650590582175465933273055293819256429850395578112441<187>
prime factors 素因数
33462253295141662713539970706232805937<38>
composite cofactor 合成数の残り
50481347527389250029165061218339174629515907864276923730493079766646928112133097544794666567548906274282048199771765333825697214890316319160283241993<149>
factorization results 素因数分解の結果
Run 188 out of 393:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2675721979
Step 1 took 58577ms
Step 2 took 19007ms
********** Factor found in step 2: 33462253295141662713539970706232805937
Found probable prime factor of 38 digits: 33462253295141662713539970706232805937
Composite cofactor 50481347527389250029165061218339174629515907864276923730493079766646928112133097544794666567548906274282048199771765333825697214890316319160283241993 has 149 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c149

name 名前Ignacio Santos
date 日付November 18, 2023 15:39:39 UTC 2023 年 11 月 19 日 (日) 0 時 39 分 39 秒 (日本時間)
composite number 合成数
50481347527389250029165061218339174629515907864276923730493079766646928112133097544794666567548906274282048199771765333825697214890316319160283241993<149>
prime factors 素因数
15631563007721870709833730384839950074025709509350930419383831<62>
3229449767912003198748968687941355960208277719913025006893781806575145566317545555425503<88>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2150658056
Step 1 took 81922ms
Step 2 took 28703ms
********** Factor found in step 2: 15631563007721870709833730384839950074025709509350930419383831
Found prime factor of 62 digits: 15631563007721870709833730384839950074025709509350930419383831
Prime cofactor 3229449767912003198748968687941355960208277719913025006893781806575145566317545555425503 has 88 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 1, 2014 05:19:45 UTC 2014 年 1 月 1 日 (水) 14 時 19 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:52:08 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 8 秒 (日本時間)
4511e64209393CypFebruary 18, 2014 14:36:20 UTC 2014 年 2 月 18 日 (火) 23 時 36 分 20 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:59 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:03 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 3 秒 (日本時間)
2616Ignacio SantosMarch 8, 2016 15:06:42 UTC 2016 年 3 月 9 日 (水) 0 時 6 分 42 秒 (日本時間)
5043e639 / 6586CypJanuary 11, 2014 10:31:55 UTC 2014 年 1 月 11 日 (土) 19 時 31 分 55 秒 (日本時間)

55×10245+179

c216

name 名前Cyp
date 日付January 6, 2014 03:59:51 UTC 2014 年 1 月 6 日 (月) 12 時 59 分 51 秒 (日本時間)
composite number 合成数
133343918876438565279839731545532895086157922730493715976634461414924847377889034017674144283252702116997986042887380339169644596121619847774585873329752093585928564277965117187540142082836719012186012665047076314821<216>
prime factors 素因数
750827526780142088352626846081209<33>
composite cofactor 合成数の残り
177595937975625708938901505300271987055731937916484409071380499197048990671322876251365798801496543701057239387920184422602050334365817351117247917582019604872313255910182992700354669<183>
factorization results 素因数分解の結果
Run 27 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2030245691
Step 1 took 21877ms
Step 2 took 6812ms
********** Factor found in step 2: 750827526780142088352626846081209
Found probable prime factor of 33 digits: 750827526780142088352626846081209
Composite cofactor 177595937975625708938901505300271987055731937916484409071380499197048990671322876251365798801496543701057239387920184422602050334365817351117247917582019604872313255910182992700354669 has 183 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 6, 2014 03:59:50 UTC 2014 年 1 月 6 日 (月) 12 時 59 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:52:09 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 9 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:01 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 1 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:38:29 UTC 2014 年 5 月 30 日 (金) 21 時 38 分 29 秒 (日本時間)
4511e61500 / 3836Dmitry DomanovJuly 18, 2014 12:49:50 UTC 2014 年 7 月 18 日 (金) 21 時 49 分 50 秒 (日本時間)

55×10246+179

c232

composite cofactor 合成数の残り
8572015414923036683936861186118950995145993525373285081778678088859073712950908567787999119895726576345627010572736947076318346118759826527920585257250716207530394216267922011914812715965717437071381890970599594057457753588878893221<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 2, 2014 19:42:34 UTC 2014 年 1 月 3 日 (金) 4 時 42 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:52:09 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 9 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:01 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 1 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:38:45 UTC 2014 年 5 月 30 日 (金) 21 時 38 分 45 秒 (日本時間)
4511e61500 / 3699Dmitry DomanovJuly 18, 2014 12:50:04 UTC 2014 年 7 月 18 日 (金) 21 時 50 分 4 秒 (日本時間)
5043e639 / 7107CypJanuary 11, 2014 15:58:09 UTC 2014 年 1 月 12 日 (日) 0 時 58 分 9 秒 (日本時間)

55×10247+179

c234

name 名前Cyp
date 日付January 3, 2014 13:41:56 UTC 2014 年 1 月 3 日 (金) 22 時 41 分 56 秒 (日本時間)
composite number 合成数
179104723266961913396453524929389974399869153376247130652012929484287135691423174057109425383020293245688518352323448020218562736255727533196852595461489598837907062517145086506826244281158665062134616586848126650455083800798641798533<234>
prime factors 素因数
243718465504913350930866069179703086519093407<45>
composite cofactor 合成数の残り
734883681857709595558403280907164086901110557489692735638095829083706881137754917594798214787313938831334376020350172051731924832357555048549010205850362079293004954105619055193272361923419<189>
factorization results 素因数分解の結果
Run 16 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3733961887
Step 1 took 24766ms
Step 2 took 7499ms
********** Factor found in step 2: 243718465504913350930866069179703086519093407
Found probable prime factor of 45 digits: 243718465504913350930866069179703086519093407
Composite cofactor 734883681857709595558403280907164086901110557489692735638095829083706881137754917594798214787313938831334376020350172051731924832357555048549010205850362079293004954105619055193272361923419 has 189 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 3, 2014 13:41:55 UTC 2014 年 1 月 3 日 (金) 22 時 41 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:52:10 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 10 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:02 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 2 秒 (日本時間)
1000Dmitry DomanovMay 30, 2014 12:39:00 UTC 2014 年 5 月 30 日 (金) 21 時 39 分 0 秒 (日本時間)
4511e61500 / 3836Dmitry DomanovJuly 18, 2014 12:50:20 UTC 2014 年 7 月 18 日 (金) 21 時 50 分 20 秒 (日本時間)

55×10248+179

c220

composite cofactor 合成数の残り
2167033311358523870875122074398342426155926096367121635148715949674702261751715176756008093941353612274208973611827202551283930800600350387960865156066805062641402495690848383099814662568198091234299916267830065623775151<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 3, 2014 13:17:30 UTC 2014 年 1 月 3 日 (金) 22 時 17 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:52:11 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 11 秒 (日本時間)
4511e62301 / 4345501CypMarch 8, 2014 17:09:18 UTC 2014 年 3 月 9 日 (日) 2 時 9 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:03 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 3 秒 (日本時間)
1500Dmitry DomanovJuly 18, 2014 12:50:31 UTC 2014 年 7 月 18 日 (金) 21 時 50 分 31 秒 (日本時間)

55×10249+179

c250

name 名前NFS@home + Dmitry Domanov
date 日付March 14, 2022 00:00:26 UTC 2022 年 3 月 14 日 (月) 9 時 0 分 26 秒 (日本時間)
composite number 合成数
6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<250>
prime factors 素因数
343909913772535132102175276036253033572422218397498632384157573<63>
1709418258194225676786874146458694142591117982902579429915434233<64>
10395063496100953028990623365566816617675353254912679728994108060948836155394191198621484208170001791827574936313608766628957<125>
factorization results 素因数分解の結果
Sieving by NFS@home, filtering, linear algebra and square root by Dmitry Domanov.


Sun Mar 13 00:07:01 2022  
Sun Mar 13 00:07:01 2022  
Sun Mar 13 00:07:01 2022  Msieve v. 1.54 (SVN 1043M)
Sun Mar 13 00:07:01 2022  random seeds: 6c3972d5 a61f100b
Sun Mar 13 00:07:01 2022  factoring 6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (250 digits)
Sun Mar 13 00:07:03 2022  searching for 15-digit factors
Sun Mar 13 00:07:04 2022  commencing number field sieve (250-digit input)
Sun Mar 13 00:07:04 2022  R0: -500000000000000000000000000000000000000000
Sun Mar 13 00:07:04 2022  R1: 1
Sun Mar 13 00:07:04 2022  A0: 425
Sun Mar 13 00:07:04 2022  A1: 0
Sun Mar 13 00:07:04 2022  A2: 0
Sun Mar 13 00:07:04 2022  A3: 0
Sun Mar 13 00:07:04 2022  A4: 0
Sun Mar 13 00:07:04 2022  A5: 0
Sun Mar 13 00:07:04 2022  A6: 88
Sun Mar 13 00:07:04 2022  skew 1.30, size 1.210e-12, alpha -0.281, combined = 1.384e-13 rroots = 0
Sun Mar 13 00:07:04 2022  
Sun Mar 13 00:07:04 2022  commencing relation filtering
Sun Mar 13 00:07:04 2022  setting target matrix density to 130.0
Sun Mar 13 00:07:04 2022  estimated available RAM is 63624.2 MB
Sun Mar 13 00:07:04 2022  commencing duplicate removal, pass 1
Sun Mar 13 00:38:36 2022  error -1 reading relation 173117710
Sun Mar 13 00:38:39 2022  error -15 reading relation 173357840
Sun Mar 13 00:43:29 2022  skipped 313 relations with b > 2^32
Sun Mar 13 00:43:29 2022  found 8840078 hash collisions in 200840318 relations
Sun Mar 13 00:43:50 2022  added 1218350 free relations
Sun Mar 13 00:43:50 2022  commencing duplicate removal, pass 2
Sun Mar 13 00:44:58 2022  found 1 duplicates and 202058667 unique relations
Sun Mar 13 00:44:58 2022  memory use: 522.4 MB
Sun Mar 13 00:44:58 2022  reading ideals above 720000
Sun Mar 13 00:44:58 2022  commencing singleton removal, initial pass
Sun Mar 13 01:23:31 2022  memory use: 5512.0 MB
Sun Mar 13 01:23:32 2022  reading all ideals from disk
Sun Mar 13 01:23:37 2022  memory use: 8204.6 MB
Sun Mar 13 01:24:07 2022  keeping 177835140 ideals with weight <= 200, target excess is 1095753
Sun Mar 13 01:24:44 2022  commencing in-memory singleton removal
Sun Mar 13 01:25:07 2022  begin with 202058667 relations and 177835140 unique ideals
Sun Mar 13 01:29:29 2022  reduce to 137984293 relations and 107807283 ideals in 13 passes
Sun Mar 13 01:29:29 2022  max relations containing the same ideal: 164
Sun Mar 13 01:30:50 2022  removing 10354291 relations and 8354291 ideals in 2000000 cliques
Sun Mar 13 01:30:56 2022  commencing in-memory singleton removal
Sun Mar 13 01:31:11 2022  begin with 127630002 relations and 107807283 unique ideals
Sun Mar 13 01:33:17 2022  reduce to 127062434 relations and 98875293 ideals in 7 passes
Sun Mar 13 01:33:17 2022  max relations containing the same ideal: 158
Sun Mar 13 01:34:34 2022  removing 7900294 relations and 5900294 ideals in 2000000 cliques
Sun Mar 13 01:34:41 2022  commencing in-memory singleton removal
Sun Mar 13 01:34:54 2022  begin with 119162140 relations and 98875293 unique ideals
Sun Mar 13 01:37:09 2022  reduce to 118779857 relations and 92586673 ideals in 7 passes
Sun Mar 13 01:37:09 2022  max relations containing the same ideal: 148
Sun Mar 13 01:38:24 2022  removing 7173917 relations and 5173917 ideals in 2000000 cliques
Sun Mar 13 01:38:30 2022  commencing in-memory singleton removal
Sun Mar 13 01:38:42 2022  begin with 111605940 relations and 92586673 unique ideals
Sun Mar 13 01:40:39 2022  reduce to 111269645 relations and 87071047 ideals in 7 passes
Sun Mar 13 01:40:39 2022  max relations containing the same ideal: 143
Sun Mar 13 01:41:44 2022  removing 6806191 relations and 4806191 ideals in 2000000 cliques
Sun Mar 13 01:41:51 2022  commencing in-memory singleton removal
Sun Mar 13 01:42:02 2022  begin with 104463454 relations and 87071047 unique ideals
Sun Mar 13 01:43:28 2022  reduce to 104147757 relations and 81944109 ideals in 6 passes
Sun Mar 13 01:43:28 2022  max relations containing the same ideal: 138
Sun Mar 13 01:44:27 2022  removing 6578448 relations and 4578448 ideals in 2000000 cliques
Sun Mar 13 01:44:32 2022  commencing in-memory singleton removal
Sun Mar 13 01:44:42 2022  begin with 97569309 relations and 81944109 unique ideals
Sun Mar 13 01:45:51 2022  reduce to 97265074 relations and 77056195 ideals in 6 passes
Sun Mar 13 01:45:51 2022  max relations containing the same ideal: 129
Sun Mar 13 01:46:48 2022  removing 6425535 relations and 4425535 ideals in 2000000 cliques
Sun Mar 13 01:46:54 2022  commencing in-memory singleton removal
Sun Mar 13 01:47:04 2022  begin with 90839539 relations and 77056195 unique ideals
Sun Mar 13 01:48:31 2022  reduce to 90536254 relations and 72321854 ideals in 7 passes
Sun Mar 13 01:48:31 2022  max relations containing the same ideal: 124
Sun Mar 13 01:49:27 2022  removing 6314015 relations and 4314015 ideals in 2000000 cliques
Sun Mar 13 01:49:33 2022  commencing in-memory singleton removal
Sun Mar 13 01:49:42 2022  begin with 84222239 relations and 72321854 unique ideals
Sun Mar 13 01:51:07 2022  reduce to 83913627 relations and 67693083 ideals in 7 passes
Sun Mar 13 01:51:07 2022  max relations containing the same ideal: 118
Sun Mar 13 01:52:01 2022  removing 6241620 relations and 4241620 ideals in 2000000 cliques
Sun Mar 13 01:52:06 2022  commencing in-memory singleton removal
Sun Mar 13 01:52:13 2022  begin with 77672007 relations and 67693083 unique ideals
Sun Mar 13 01:53:22 2022  reduce to 77354790 relations and 63127583 ideals in 7 passes
Sun Mar 13 01:53:22 2022  max relations containing the same ideal: 111
Sun Mar 13 01:54:16 2022  removing 6189062 relations and 4189062 ideals in 2000000 cliques
Sun Mar 13 01:54:21 2022  commencing in-memory singleton removal
Sun Mar 13 01:54:29 2022  begin with 71165728 relations and 63127583 unique ideals
Sun Mar 13 01:55:37 2022  reduce to 70834255 relations and 58599835 ideals in 7 passes
Sun Mar 13 01:55:37 2022  max relations containing the same ideal: 107
Sun Mar 13 01:56:20 2022  removing 6154090 relations and 4154090 ideals in 2000000 cliques
Sun Mar 13 01:56:24 2022  commencing in-memory singleton removal
Sun Mar 13 01:56:31 2022  begin with 64680165 relations and 58599835 unique ideals
Sun Mar 13 01:57:26 2022  reduce to 64327688 relations and 54084841 ideals in 7 passes
Sun Mar 13 01:57:26 2022  max relations containing the same ideal: 99
Sun Mar 13 01:58:03 2022  removing 6140460 relations and 4140460 ideals in 2000000 cliques
Sun Mar 13 01:58:07 2022  commencing in-memory singleton removal
Sun Mar 13 01:58:12 2022  begin with 58187228 relations and 54084841 unique ideals
Sun Mar 13 01:59:02 2022  reduce to 57808455 relations and 49555689 ideals in 7 passes
Sun Mar 13 01:59:02 2022  max relations containing the same ideal: 94
Sun Mar 13 01:59:34 2022  removing 6136607 relations and 4136607 ideals in 2000000 cliques
Sun Mar 13 01:59:38 2022  commencing in-memory singleton removal
Sun Mar 13 01:59:42 2022  begin with 51671848 relations and 49555689 unique ideals
Sun Mar 13 02:00:23 2022  reduce to 51255519 relations and 44990669 ideals in 7 passes
Sun Mar 13 02:00:23 2022  max relations containing the same ideal: 89
Sun Mar 13 02:00:54 2022  removing 6153557 relations and 4153557 ideals in 2000000 cliques
Sun Mar 13 02:00:57 2022  commencing in-memory singleton removal
Sun Mar 13 02:01:02 2022  begin with 45101962 relations and 44990669 unique ideals
Sun Mar 13 02:01:40 2022  reduce to 44632426 relations and 40352257 ideals in 7 passes
Sun Mar 13 02:01:40 2022  max relations containing the same ideal: 81
Sun Mar 13 02:02:08 2022  removing 6179909 relations and 4179909 ideals in 2000000 cliques
Sun Mar 13 02:02:11 2022  commencing in-memory singleton removal
Sun Mar 13 02:02:15 2022  begin with 38452517 relations and 40352257 unique ideals
Sun Mar 13 02:02:48 2022  reduce to 37901891 relations and 35601109 ideals in 7 passes
Sun Mar 13 02:02:48 2022  max relations containing the same ideal: 71
Sun Mar 13 02:03:11 2022  removing 3622246 relations and 2592538 ideals in 1029708 cliques
Sun Mar 13 02:03:14 2022  commencing in-memory singleton removal
Sun Mar 13 02:03:17 2022  begin with 34279645 relations and 35601109 unique ideals
Sun Mar 13 02:03:45 2022  reduce to 34039617 relations and 32762969 ideals in 8 passes
Sun Mar 13 02:03:45 2022  max relations containing the same ideal: 68
Sun Mar 13 02:04:09 2022  relations with 0 large ideals: 41730
Sun Mar 13 02:04:09 2022  relations with 1 large ideals: 24200
Sun Mar 13 02:04:09 2022  relations with 2 large ideals: 283146
Sun Mar 13 02:04:09 2022  relations with 3 large ideals: 1570817
Sun Mar 13 02:04:09 2022  relations with 4 large ideals: 4646805
Sun Mar 13 02:04:09 2022  relations with 5 large ideals: 8150909
Sun Mar 13 02:04:09 2022  relations with 6 large ideals: 8911627
Sun Mar 13 02:04:09 2022  relations with 7+ large ideals: 10410383
Sun Mar 13 02:04:09 2022  commencing 2-way merge
Sun Mar 13 02:04:40 2022  reduce to 22697301 relation sets and 21420653 unique ideals
Sun Mar 13 02:04:40 2022  commencing full merge
Sun Mar 13 02:16:19 2022  memory use: 2869.1 MB
Sun Mar 13 02:16:22 2022  found 10136296 cycles, need 10056853
Sun Mar 13 02:16:28 2022  weight of 10056853 cycles is about 1308166680 (130.08/cycle)
Sun Mar 13 02:16:28 2022  distribution of cycle lengths:
Sun Mar 13 02:16:28 2022  1 relations: 336829
Sun Mar 13 02:16:28 2022  2 relations: 502663
Sun Mar 13 02:16:28 2022  3 relations: 619349
Sun Mar 13 02:16:28 2022  4 relations: 668151
Sun Mar 13 02:16:28 2022  5 relations: 711637
Sun Mar 13 02:16:28 2022  6 relations: 724010
Sun Mar 13 02:16:28 2022  7 relations: 723806
Sun Mar 13 02:16:28 2022  8 relations: 707094
Sun Mar 13 02:16:28 2022  9 relations: 674367
Sun Mar 13 02:16:28 2022  10+ relations: 4388947
Sun Mar 13 02:16:28 2022  heaviest cycle: 28 relations
Sun Mar 13 02:16:32 2022  commencing cycle optimization
Sun Mar 13 02:16:58 2022  start with 94039704 relations
Sun Mar 13 02:22:07 2022  pruned 4967527 relations
Sun Mar 13 02:22:07 2022  memory use: 2373.5 MB
Sun Mar 13 02:22:07 2022  distribution of cycle lengths:
Sun Mar 13 02:22:07 2022  1 relations: 336829
Sun Mar 13 02:22:07 2022  2 relations: 516033
Sun Mar 13 02:22:07 2022  3 relations: 647633
Sun Mar 13 02:22:07 2022  4 relations: 699680
Sun Mar 13 02:22:07 2022  5 relations: 752897
Sun Mar 13 02:22:07 2022  6 relations: 768010
Sun Mar 13 02:22:07 2022  7 relations: 771444
Sun Mar 13 02:22:07 2022  8 relations: 751435
Sun Mar 13 02:22:07 2022  9 relations: 716362
Sun Mar 13 02:22:07 2022  10+ relations: 4096530
Sun Mar 13 02:22:07 2022  heaviest cycle: 28 relations
Sun Mar 13 02:22:35 2022  RelProcTime: 8131
Sun Mar 13 02:22:35 2022  elapsed time 02:15:34
Sun Mar 13 05:29:59 2022  
Sun Mar 13 05:29:59 2022  
Sun Mar 13 05:29:59 2022  Msieve v. 1.54 (SVN 1043M)
Sun Mar 13 05:29:59 2022  random seeds: 71c92ce7 b1dd53c5
Sun Mar 13 05:29:59 2022  factoring 6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (250 digits)
Sun Mar 13 05:30:01 2022  searching for 15-digit factors
Sun Mar 13 05:30:02 2022  commencing number field sieve (250-digit input)
Sun Mar 13 05:30:02 2022  R0: -500000000000000000000000000000000000000000
Sun Mar 13 05:30:02 2022  R1: 1
Sun Mar 13 05:30:02 2022  A0: 425
Sun Mar 13 05:30:02 2022  A1: 0
Sun Mar 13 05:30:02 2022  A2: 0
Sun Mar 13 05:30:02 2022  A3: 0
Sun Mar 13 05:30:02 2022  A4: 0
Sun Mar 13 05:30:02 2022  A5: 0
Sun Mar 13 05:30:02 2022  A6: 88
Sun Mar 13 05:30:02 2022  skew 1.30, size 1.210e-12, alpha -0.281, combined = 1.384e-13 rroots = 0
Sun Mar 13 05:30:02 2022  
Sun Mar 13 05:30:02 2022  commencing linear algebra
Sun Mar 13 05:30:04 2022  read 10056853 cycles
Sun Mar 13 05:30:35 2022  cycles contain 33408257 unique relations
Sun Mar 13 05:34:33 2022  read 33408257 relations
Sun Mar 13 05:35:56 2022  using 20 quadratic characters above 4294917295
Sun Mar 13 05:39:14 2022  building initial matrix
Sun Mar 13 05:50:35 2022  memory use: 4378.7 MB
Sun Mar 13 05:50:44 2022  read 10056853 cycles
Sun Mar 13 05:50:45 2022  matrix is 10056676 x 10056853 (5033.6 MB) with weight 1441313072 (143.32/col)
Sun Mar 13 05:50:45 2022  sparse part has weight 1208913214 (120.21/col)
Sun Mar 13 05:53:57 2022  filtering completed in 2 passes
Sun Mar 13 05:53:59 2022  matrix is 10056448 x 10056625 (5033.6 MB) with weight 1441304829 (143.32/col)
Sun Mar 13 05:53:59 2022  sparse part has weight 1208910220 (120.21/col)
Sun Mar 13 05:54:37 2022  matrix starts at (0, 0)
Sun Mar 13 05:54:39 2022  matrix is 10056448 x 10056625 (5033.6 MB) with weight 1441304829 (143.32/col)
Sun Mar 13 05:54:39 2022  sparse part has weight 1208910220 (120.21/col)
Sun Mar 13 05:54:39 2022  saving the first 48 matrix rows for later
Sun Mar 13 05:54:40 2022  matrix includes 64 packed rows
Sun Mar 13 05:54:42 2022  matrix is 10056400 x 10056625 (4834.2 MB) with weight 1244552739 (123.75/col)
Sun Mar 13 05:54:42 2022  sparse part has weight 1166678460 (116.01/col)
Sun Mar 13 05:54:42 2022  using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
Sun Mar 13 05:55:21 2022  commencing Lanczos iteration
Sun Mar 13 05:55:21 2022  memory use: 4601.9 MB
Sun Mar 13 05:59:20 2022  linear algebra at 0.0%, ETA 421h48m
Sun Mar 13 06:00:42 2022  checkpointing every 30000 dimensions

Sun Mar 13 06:58:48 2022  
Sun Mar 13 06:58:48 2022  
Sun Mar 13 06:58:48 2022  Msieve v. 1.54 (SVN unknown)
Sun Mar 13 06:58:48 2022  random seeds: 7b0b6273 a31e4f1e
Sun Mar 13 06:58:48 2022  factoring 6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (250 digits)
Sun Mar 13 06:58:49 2022  no P-1/P+1/ECM available, skipping
Sun Mar 13 06:58:49 2022  commencing number field sieve (250-digit input)
Sun Mar 13 06:58:49 2022  R0: -500000000000000000000000000000000000000000
Sun Mar 13 06:58:49 2022  R1: 1
Sun Mar 13 06:58:49 2022  A0: 425
Sun Mar 13 06:58:49 2022  A1: 0
Sun Mar 13 06:58:49 2022  A2: 0
Sun Mar 13 06:58:49 2022  A3: 0
Sun Mar 13 06:58:49 2022  A4: 0
Sun Mar 13 06:58:49 2022  A5: 0
Sun Mar 13 06:58:49 2022  A6: 88
Sun Mar 13 06:58:49 2022  skew 1.30, size 1.210e-12, alpha -0.281, combined = 1.384e-13 rroots = 0
Sun Mar 13 06:58:49 2022  
Sun Mar 13 06:58:49 2022  commencing linear algebra
Sun Mar 13 06:58:49 2022  using VBITS=128
Sun Mar 13 06:58:49 2022  skipping matrix build
Sun Mar 13 06:58:53 2022  matrix starts at (0, 0)
Sun Mar 13 06:58:55 2022  matrix is 10056448 x 10056625 (5033.6 MB) with weight 1441304829 (143.32/col)
Sun Mar 13 06:58:55 2022  sparse part has weight 1208910220 (120.21/col)
Sun Mar 13 06:58:55 2022  saving the first 112 matrix rows for later
Sun Mar 13 06:58:57 2022  matrix includes 128 packed rows
Sun Mar 13 06:59:00 2022  matrix is 10056336 x 10056625 (4687.7 MB) with weight 1166678460 (116.01/col)
Sun Mar 13 06:59:00 2022  sparse part has weight 1108176889 (110.19/col)
Sun Mar 13 06:59:00 2022  using GPU 0 (Tesla P100-PCIE-16GB)
Sun Mar 13 06:59:00 2022  selected card has CUDA arch 6.0
Sun Mar 13 07:00:47 2022  commencing Lanczos iteration
Sun Mar 13 07:00:48 2022  memory use: 9989.2 MB
Sun Mar 13 07:00:54 2022  linear algebra at 0.0%, ETA 9h 8m
Sun Mar 13 07:00:56 2022  checkpointing every 1050000 dimensions
Sun Mar 13 16:34:55 2022  lanczos halted after 79040 iterations (dim = 10056336)
Sun Mar 13 16:35:13 2022  recovered 37 nontrivial dependencies
Sun Mar 13 16:35:13 2022  BLanczosTime: 34584
Sun Mar 13 16:35:13 2022  elapsed time 09:36:25

Sun Mar 13 16:42:32 2022  
Sun Mar 13 16:42:32 2022  
Sun Mar 13 16:42:32 2022  Msieve v. 1.54 (SVN 1043M)
Sun Mar 13 16:42:32 2022  random seeds: add9ac4c 9e531248
Sun Mar 13 16:42:32 2022  factoring 6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (250 digits)
Sun Mar 13 16:42:33 2022  searching for 15-digit factors
Sun Mar 13 16:42:34 2022  commencing number field sieve (250-digit input)
Sun Mar 13 16:42:34 2022  R0: -500000000000000000000000000000000000000000
Sun Mar 13 16:42:34 2022  R1: 1
Sun Mar 13 16:42:34 2022  A0: 425
Sun Mar 13 16:42:34 2022  A1: 0
Sun Mar 13 16:42:34 2022  A2: 0
Sun Mar 13 16:42:34 2022  A3: 0
Sun Mar 13 16:42:34 2022  A4: 0
Sun Mar 13 16:42:34 2022  A5: 0
Sun Mar 13 16:42:34 2022  A6: 88
Sun Mar 13 16:42:34 2022  skew 1.30, size 1.210e-12, alpha -0.281, combined = 1.384e-13 rroots = 0
Sun Mar 13 16:42:34 2022  
Sun Mar 13 16:42:34 2022  commencing square root phase
Sun Mar 13 16:42:34 2022  reading relations for dependency 1
Sun Mar 13 16:42:46 2022  read 5029171 cycles
Sun Mar 13 16:43:02 2022  cycles contain 16712196 unique relations
Sun Mar 13 16:45:26 2022  read 16712196 relations
Sun Mar 13 16:47:30 2022  multiplying 16712196 relations
Sun Mar 13 17:07:59 2022  multiply complete, coefficients have about 542.82 million bits
Sun Mar 13 17:08:01 2022  initial square root is modulo 74131
Sun Mar 13 17:31:16 2022  found factor: 343909913772535132102175276036253033572422218397498632384157573
Sun Mar 13 17:31:16 2022  reading relations for dependency 2
Sun Mar 13 17:31:17 2022  read 5029508 cycles
Sun Mar 13 17:31:33 2022  cycles contain 16708098 unique relations
Sun Mar 13 17:33:50 2022  read 16708098 relations
Sun Mar 13 17:35:53 2022  multiplying 16708098 relations
Sun Mar 13 17:56:31 2022  multiply complete, coefficients have about 542.69 million bits
Sun Mar 13 17:56:32 2022  initial square root is modulo 73939
Sun Mar 13 18:20:21 2022  found factor: 343909913772535132102175276036253033572422218397498632384157573
Sun Mar 13 18:20:21 2022  reading relations for dependency 3
Sun Mar 13 18:20:22 2022  read 5026990 cycles
Sun Mar 13 18:20:36 2022  cycles contain 16702498 unique relations
Sun Mar 13 18:22:57 2022  read 16702498 relations
Sun Mar 13 18:25:00 2022  multiplying 16702498 relations
Sun Mar 13 18:46:09 2022  multiply complete, coefficients have about 542.52 million bits
Sun Mar 13 18:46:12 2022  initial square root is modulo 73681
Sun Mar 13 19:09:36 2022  sqrtTime: 8822
Sun Mar 13 19:09:36 2022  p63 factor: 343909913772535132102175276036253033572422218397498632384157573
Sun Mar 13 19:09:36 2022  p64 factor: 1709418258194225676786874146458694142591117982902579429915434233
Sun Mar 13 19:09:36 2022  p125 factor: 10395063496100953028990623365566816617675353254912679728994108060948836155394191198621484208170001791827574936313608766628957

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e613000Serge BatalovNovember 5, 2013 23:28:50 UTC 2013 年 11 月 6 日 (水) 8 時 28 分 50 秒 (日本時間)
5511e729001400Serge BatalovNovember 5, 2013 23:29:10 UTC 2013 年 11 月 6 日 (水) 8 時 29 分 10 秒 (日本時間)
1500Serge BatalovNovember 6, 2013 00:38:02 UTC 2013 年 11 月 6 日 (水) 9 時 38 分 2 秒 (日本時間)
6026e78192 / 39400iveliveFebruary 20, 2022 17:18:01 UTC 2022 年 2 月 21 日 (月) 2 時 18 分 1 秒 (日本時間)

55×10250+179

c245

composite cofactor 合成数の残り
13649522791588489024877843595776678817471855738739596612923035627066149980112645292655571490752981880953378962943506188656407734971137091364619478975875808600832337972905399450926850991311483127613930147053257881749419132148946868587283573476833<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2013 13:00:00 UTC 2013 年 10 月 25 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 04:51:30 UTC 2014 年 1 月 3 日 (金) 13 時 51 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:52:11 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 11 秒 (日本時間)
1500Dmitry DomanovMay 22, 2014 09:36:45 UTC 2014 年 5 月 22 日 (木) 18 時 36 分 45 秒 (日本時間)
4511e61800300Serge BatalovMay 27, 2014 00:34:03 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 3 秒 (日本時間)
1500Dmitry DomanovMay 27, 2014 11:24:51 UTC 2014 年 5 月 27 日 (火) 20 時 24 分 51 秒 (日本時間)
5043e639 / 6347CypJanuary 11, 2014 15:41:30 UTC 2014 年 1 月 12 日 (日) 0 時 41 分 30 秒 (日本時間)
5511e7300 / 17626Dmitry DomanovJune 3, 2014 11:45:47 UTC 2014 年 6 月 3 日 (火) 20 時 45 分 47 秒 (日本時間)

55×10251+179

c173

name 名前Dmitry Domanov
date 日付February 14, 2021 21:44:55 UTC 2021 年 2 月 15 日 (月) 6 時 44 分 55 秒 (日本時間)
composite number 合成数
11632956799798757678677043396435961847281686256153267422320554244924193513629581569472361304894359656558617507041795532474642474967368331268690866414022062551778053174710499<173>
prime factors 素因数
5909432975510439261370794777210004516544323<43>
composite cofactor 合成数の残り
1968540272477485445380649678118296343046816149755295692272728771766296739650188148803594952220378112876977655397195094880991174113<130>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3420307882
Step 1 took 133297ms
Step 2 took 46558ms
********** Factor found in step 2: 5909432975510439261370794777210004516544323
Found prime factor of 43 digits: 5909432975510439261370794777210004516544323
Composite cofactor 1968540272477485445380649678118296343046816149755295692272728771766296739650188148803594952220378112876977655397195094880991174113 has 130 digits

c130

name 名前Eric Jeancolas
date 日付February 24, 2021 03:19:04 UTC 2021 年 2 月 24 日 (水) 12 時 19 分 4 秒 (日本時間)
composite number 合成数
1968540272477485445380649678118296343046816149755295692272728771766296739650188148803594952220378112876977655397195094880991174113<130>
prime factors 素因数
160827833115765099083972735012273019982397017102762271<54>
12240047225286652749669485237592441058827456902463286387473423153120905986303<77>
factorization results 素因数分解の結果
1968540272477485445380649678118296343046816149755295692272728771766296739650188148803594952220378112876977655397195094880991174113=160827833115765099083972735012273019982397017102762271*12240047225286652749669485237592441058827456902463286387473423153120905986303

cado polynomial
n: 1968540272477485445380649678118296343046816149755295692272728771766296739650188148803594952220378112876977655397195094880991174113
skew: 60537.165
c0: 153699074935297083424858170846
c1: -10811411578493382406099795
c2: -85827015987387187059
c3: 1825201798088095
c4: 63002740638
c5: 181800
Y0: -7979931656426571667576309
Y1: 88996872283850743
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.743e-07
# f(x) = 181800*x^5+63002740638*x^4+1825201798088095*x^3-85827015987387187059*x^2-10811411578493382406099795*x+153699074935297083424858170846
# g(x) = 88996872283850743*x-7979931656426571667576309

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

cado log (extracts)
Info:Square Root: Factors: 12240047225286652749669485237592441058827456902463286387473423153120905986303 160827833115765099083972735012273019982397017102762271
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): 38501/38.170/46.152/51.360/0.850
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30565/36.780/41.416/46.950/0.972
Info:Polynomial Selection (size optimized): Total time: 4952.08
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5419.16
Info:Polynomial Selection (root optimized): Rootsieve time: 5414.43
Info:Generate Factor Base: Total cpu/real time for makefb: 39.16/10.415
Info:Generate Free Relations: Total cpu/real time for freerel: 235.39/59.5374
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23340536
Info:Lattice Sieving: Average J: 7714.07 for 58236 special-q, max bucket fill -bkmult 1.0,1s:1.066600
Info:Lattice Sieving: Total time: 110945s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.1/111.634
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 309.87/285.469
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 259.59999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 188/215.954
Info:Filtering - Merging: Merged matrix has 1806101 rows and total weight 310238005 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 257.81/74.6833
Info:Filtering - Merging: Total cpu/real time for replay: 72.04/62.7278
Info:Linear Algebra: Total cpu/real time for bwc: 53800.6/13812.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 8779.39, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56576 iterations)
Info:Linear Algebra: Lingen CPU time 361.34, WCT time 104.81
Info:Linear Algebra: Mksol: WCT time 4824.55, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28416 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 71.76/29.61
Info:Square Root: Total cpu/real time for sqrt: 1501.41/398.532
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 289614/74201.1
Info:root: Cleaning up computation data in /tmp/cado.xa7mgsaq
12240047225286652749669485237592441058827456902463286387473423153120905986303 160827833115765099083972735012273019982397017102762271
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:13:46 UTC 2021 年 1 月 21 日 (木) 6 時 13 分 46 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 23, 2021 19:57:56 UTC 2021 年 1 月 24 日 (日) 4 時 57 分 56 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovFebruary 12, 2021 18:16:41 UTC 2021 年 2 月 13 日 (土) 3 時 16 分 41 秒 (日本時間)

55×10252+179

c205

composite cofactor 合成数の残り
2226416066007751115812851587398309194588641019826880865746794855785992196434242567389115416204454061932543560327828316546326756178079684586227866284890871366813380221001063491712962488780571418509484770429<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 18, 2021 16:36:44 UTC 2021 年 1 月 19 日 (火) 1 時 36 分 44 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovJanuary 25, 2021 21:09:17 UTC 2021 年 1 月 26 日 (火) 6 時 9 分 17 秒 (日本時間)

55×10253+179

c217

composite cofactor 合成数の残り
4936592935708484530856586685081971261174437352776096856512449141630801981810153075940148798267971272783988727773627979176614555437228011111551490702810613154726266467552912043060527142743524575251279787507215860125461<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61848648iveliveJanuary 19, 2021 04:11:42 UTC 2021 年 1 月 19 日 (火) 13 時 11 分 42 秒 (日本時間)
1200Dmitry DomanovJanuary 26, 2021 09:51:46 UTC 2021 年 1 月 26 日 (火) 18 時 51 分 46 秒 (日本時間)
4511e61000 / 4072Dmitry DomanovJanuary 26, 2021 09:52:15 UTC 2021 年 1 月 26 日 (火) 18 時 52 分 15 秒 (日本時間)

55×10254+179

c223

composite cofactor 合成数の残り
8408252630731937054730751080790855609692571939724943124901988520700292364604237099137954892239637051503871514960962913117198734248579440960019445232791087182617210958899113864731208843456807133870454307936015952144935112311<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:56:18 UTC 2021 年 1 月 21 日 (木) 6 時 56 分 18 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 28, 2021 21:22:41 UTC 2021 年 1 月 29 日 (金) 6 時 22 分 41 秒 (日本時間)

55×10255+179

c256

name 名前NFS@home + Dmitry Domanov
date 日付August 18, 2024 19:47:42 UTC 2024 年 8 月 19 日 (月) 4 時 47 分 42 秒 (日本時間)
composite number 合成数
6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<256>
prime factors 素因数
730181376387192468168989062544440992837573368584881903964841<60>
8369305639302664169523920667903084478201765202549730786777463779624241769503444014763773861015282520586664723102611109311390111131990019915472390840098673670589785309006806326342790913284316264993<196>
factorization results 素因数分解の結果
Sieving by NFS@Home, filtering, linear algebra and square root by Dmitry Domanov
---------------------------------
Fri Aug 16 13:07:05 2024  
Fri Aug 16 13:07:05 2024  
Fri Aug 16 13:07:05 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Aug 16 13:07:05 2024  random seeds: 36775ae1 b7fe8fc9
Fri Aug 16 13:07:05 2024  Using 4 OpenMP threads
Fri Aug 16 13:07:05 2024  factoring 6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (256 digits)
Fri Aug 16 13:07:06 2024  searching for 15-digit factors
Fri Aug 16 13:07:07 2024  commencing number field sieve (256-digit input)
Fri Aug 16 13:07:07 2024  R0: -5000000000000000000000000000000000000000000
Fri Aug 16 13:07:07 2024  R1: 1
Fri Aug 16 13:07:07 2024  A0: 425
Fri Aug 16 13:07:07 2024  A1: 0
Fri Aug 16 13:07:07 2024  A2: 0
Fri Aug 16 13:07:07 2024  A3: 0
Fri Aug 16 13:07:07 2024  A4: 0
Fri Aug 16 13:07:07 2024  A5: 0
Fri Aug 16 13:07:07 2024  A6: 88
Fri Aug 16 13:07:07 2024  skew 1.00, size 6.266e-13, alpha -0.281, combined = 8.364e-14 rroots = 0
Fri Aug 16 13:07:07 2024  
Fri Aug 16 13:07:07 2024  commencing relation filtering
Fri Aug 16 13:07:07 2024  setting target matrix density to 140.0
Fri Aug 16 13:07:07 2024  estimated available RAM is 515996.3 MB
Fri Aug 16 13:07:07 2024  commencing duplicate removal, pass 1
Fri Aug 16 13:09:31 2024  error -1 reading relation 37397939
Fri Aug 16 13:11:28 2024  error -1 reading relation 67797260
Fri Aug 16 13:12:06 2024  error -1 reading relation 78040041
Fri Aug 16 13:12:41 2024  error -1 reading relation 86821836
Fri Aug 16 13:12:54 2024  error -1 reading relation 90113796
Fri Aug 16 13:13:11 2024  error -1 reading relation 94395449
Fri Aug 16 13:13:13 2024  error -1 reading relation 94895922
Fri Aug 16 13:15:28 2024  error -1 reading relation 130932788
Fri Aug 16 13:17:12 2024  error -1 reading relation 159219311
Fri Aug 16 13:18:09 2024  error -1 reading relation 174843500
Fri Aug 16 13:19:05 2024  error -1 reading relation 189784213
Fri Aug 16 13:19:58 2024  error -1 reading relation 204331299
Fri Aug 16 13:20:08 2024  error -1 reading relation 207082492
Fri Aug 16 13:20:36 2024  error -5 reading relation 214428551
Fri Aug 16 13:20:36 2024  error -1 reading relation 214459538
Fri Aug 16 13:20:37 2024  error -1 reading relation 214476923
Fri Aug 16 13:20:37 2024  error -1 reading relation 214491766
Fri Aug 16 13:20:37 2024  error -1 reading relation 214492373
Fri Aug 16 13:21:04 2024  error -1 reading relation 221658641
Fri Aug 16 13:22:47 2024  error -1 reading relation 247991910
Fri Aug 16 13:23:24 2024  error -1 reading relation 257235028
Fri Aug 16 13:26:22 2024  error -1 reading relation 302487672
Fri Aug 16 13:26:35 2024  error -1 reading relation 305781228
Fri Aug 16 13:27:14 2024  error -1 reading relation 315706045
Fri Aug 16 13:27:23 2024  error -1 reading relation 317965008
Fri Aug 16 13:27:51 2024  error -1 reading relation 325312878
Fri Aug 16 13:28:27 2024  error -1 reading relation 334829150
Fri Aug 16 13:28:34 2024  error -1 reading relation 336697279
Fri Aug 16 13:28:35 2024  error -1 reading relation 336795114
Fri Aug 16 13:28:41 2024  error -5 reading relation 338420076
Fri Aug 16 13:28:42 2024  error -1 reading relation 338719217
Fri Aug 16 13:28:43 2024  error -1 reading relation 338949814
Fri Aug 16 13:28:43 2024  error -5 reading relation 338966529
Fri Aug 16 13:28:43 2024  error -5 reading relation 339022581
Fri Aug 16 13:28:51 2024  error -1 reading relation 340903625
Fri Aug 16 13:28:51 2024  error -1 reading relation 341020954
Fri Aug 16 13:29:04 2024  error -1 reading relation 344089273
Fri Aug 16 13:29:04 2024  error -1 reading relation 344323397
Fri Aug 16 13:29:04 2024  error -1 reading relation 344328490
Fri Aug 16 13:29:05 2024  error -1 reading relation 344331760
Fri Aug 16 13:29:05 2024  error -1 reading relation 344333793
Fri Aug 16 13:29:22 2024  error -1 reading relation 348657786
Fri Aug 16 13:29:43 2024  error -1 reading relation 354141198
Fri Aug 16 13:29:47 2024  error -1 reading relation 355125813
Fri Aug 16 13:30:01 2024  error -15 reading relation 358817321
Fri Aug 16 13:30:01 2024  error -1 reading relation 358818421
Fri Aug 16 13:30:03 2024  error -1 reading relation 359349904
Fri Aug 16 13:30:39 2024  error -1 reading relation 368844873
Fri Aug 16 13:30:41 2024  error -1 reading relation 369521185
Fri Aug 16 13:30:42 2024  error -1 reading relation 369842573
Fri Aug 16 13:31:02 2024  error -1 reading relation 375140036
Fri Aug 16 13:31:22 2024  error -1 reading relation 380345027
Fri Aug 16 13:31:23 2024  error -5 reading relation 380622825
Fri Aug 16 13:31:24 2024  error -5 reading relation 380934033
Fri Aug 16 13:31:25 2024  error -1 reading relation 381212607
Fri Aug 16 13:31:28 2024  error -1 reading relation 381812557
Fri Aug 16 13:31:28 2024  error -1 reading relation 381863293
Fri Aug 16 13:31:30 2024  error -5 reading relation 382332995
Fri Aug 16 13:32:59 2024  error -1 reading relation 405821689
Fri Aug 16 13:33:05 2024  error -15 reading relation 407441277
Fri Aug 16 13:34:01 2024  error -1 reading relation 422227836
Fri Aug 16 13:34:10 2024  error -1 reading relation 424777661
Fri Aug 16 13:34:17 2024  error -1 reading relation 426610941
Fri Aug 16 13:34:17 2024  error -1 reading relation 426617208
Fri Aug 16 13:35:40 2024  error -1 reading relation 449084328
Fri Aug 16 13:35:48 2024  error -1 reading relation 451239812
Fri Aug 16 13:35:54 2024  skipped 537 relations with b > 2^32
Fri Aug 16 13:35:54 2024  skipped 3 relations with composite factors
Fri Aug 16 13:35:54 2024  skipped 622 malformed relations
Fri Aug 16 13:35:54 2024  found 91442840 hash collisions in 452717711 relations
Fri Aug 16 13:36:06 2024  added 1218350 free relations
Fri Aug 16 13:36:06 2024  commencing duplicate removal, pass 2
Fri Aug 16 13:45:03 2024  found 94146841 duplicates and 359789220 unique relations
Fri Aug 16 13:45:03 2024  memory use: 2643.0 MB
Fri Aug 16 13:45:03 2024  reading ideals above 720000
Fri Aug 16 13:45:03 2024  commencing singleton removal, initial pass
Fri Aug 16 14:24:55 2024  memory use: 11024.0 MB
Fri Aug 16 14:24:55 2024  reading all ideals from disk
Fri Aug 16 14:25:03 2024  memory use: 17620.0 MB
Fri Aug 16 14:25:49 2024  keeping 329266361 ideals with weight <= 200, target excess is 1873485
Fri Aug 16 14:26:46 2024  commencing in-memory singleton removal
Fri Aug 16 14:27:22 2024  begin with 359789220 relations and 329266361 unique ideals
Fri Aug 16 14:30:05 2024  reduce to 225508069 relations and 180796453 ideals in 15 passes
Fri Aug 16 14:30:05 2024  max relations containing the same ideal: 156
Fri Aug 16 14:32:19 2024  removing 13116842 relations and 11116842 ideals in 2000000 cliques
Fri Aug 16 14:32:30 2024  commencing in-memory singleton removal
Fri Aug 16 14:32:49 2024  begin with 212391227 relations and 180796453 unique ideals
Fri Aug 16 14:33:51 2024  reduce to 211803654 relations and 169084937 ideals in 9 passes
Fri Aug 16 14:33:51 2024  max relations containing the same ideal: 148
Fri Aug 16 14:35:47 2024  removing 9863182 relations and 7863182 ideals in 2000000 cliques
Fri Aug 16 14:35:58 2024  commencing in-memory singleton removal
Fri Aug 16 14:36:14 2024  begin with 201940472 relations and 169084937 unique ideals
Fri Aug 16 14:37:29 2024  reduce to 201565803 relations and 160843322 ideals in 8 passes
Fri Aug 16 14:37:29 2024  max relations containing the same ideal: 143
Fri Aug 16 14:39:19 2024  removing 8847730 relations and 6847730 ideals in 2000000 cliques
Fri Aug 16 14:39:28 2024  commencing in-memory singleton removal
Fri Aug 16 14:39:45 2024  begin with 192718073 relations and 160843322 unique ideals
Fri Aug 16 14:40:35 2024  reduce to 192397202 relations and 153671606 ideals in 7 passes
Fri Aug 16 14:40:35 2024  max relations containing the same ideal: 141
Fri Aug 16 14:42:05 2024  removing 8292319 relations and 6292319 ideals in 2000000 cliques
Fri Aug 16 14:42:12 2024  commencing in-memory singleton removal
Fri Aug 16 14:42:28 2024  begin with 184104883 relations and 153671606 unique ideals
Fri Aug 16 14:43:17 2024  reduce to 183807695 relations and 147079243 ideals in 7 passes
Fri Aug 16 14:43:17 2024  max relations containing the same ideal: 137
Fri Aug 16 14:44:47 2024  removing 7937904 relations and 5937904 ideals in 2000000 cliques
Fri Aug 16 14:44:53 2024  commencing in-memory singleton removal
Fri Aug 16 14:45:08 2024  begin with 175869791 relations and 147079243 unique ideals
Fri Aug 16 14:45:55 2024  reduce to 175587640 relations and 140856297 ideals in 7 passes
Fri Aug 16 14:45:55 2024  max relations containing the same ideal: 134
Fri Aug 16 14:47:33 2024  removing 7685431 relations and 5685431 ideals in 2000000 cliques
Fri Aug 16 14:47:39 2024  commencing in-memory singleton removal
Fri Aug 16 14:47:56 2024  begin with 167902209 relations and 140856297 unique ideals
Fri Aug 16 14:48:41 2024  reduce to 167626345 relations and 134892070 ideals in 7 passes
Fri Aug 16 14:48:41 2024  max relations containing the same ideal: 131
Fri Aug 16 14:50:00 2024  removing 7501105 relations and 5501105 ideals in 2000000 cliques
Fri Aug 16 14:50:06 2024  commencing in-memory singleton removal
Fri Aug 16 14:50:22 2024  begin with 160125240 relations and 134892070 unique ideals
Fri Aug 16 14:51:04 2024  reduce to 159853047 relations and 129115806 ideals in 6 passes
Fri Aug 16 14:51:04 2024  max relations containing the same ideal: 128
Fri Aug 16 14:52:29 2024  removing 7361715 relations and 5361715 ideals in 2000000 cliques
Fri Aug 16 14:52:35 2024  commencing in-memory singleton removal
Fri Aug 16 14:52:46 2024  begin with 152491332 relations and 129115806 unique ideals
Fri Aug 16 14:53:23 2024  reduce to 152218648 relations and 123478212 ideals in 8 passes
Fri Aug 16 14:53:23 2024  max relations containing the same ideal: 124
Fri Aug 16 14:54:36 2024  removing 7260792 relations and 5260792 ideals in 2000000 cliques
Fri Aug 16 14:54:42 2024  commencing in-memory singleton removal
Fri Aug 16 14:54:54 2024  begin with 144957856 relations and 123478212 unique ideals
Fri Aug 16 14:55:40 2024  reduce to 144682942 relations and 117939198 ideals in 7 passes
Fri Aug 16 14:55:40 2024  max relations containing the same ideal: 123
Fri Aug 16 14:56:50 2024  removing 7178272 relations and 5178272 ideals in 2000000 cliques
Fri Aug 16 14:56:55 2024  commencing in-memory singleton removal
Fri Aug 16 14:57:06 2024  begin with 137504670 relations and 117939198 unique ideals
Fri Aug 16 14:57:51 2024  reduce to 137225757 relations and 112478533 ideals in 7 passes
Fri Aug 16 14:57:51 2024  max relations containing the same ideal: 119
Fri Aug 16 14:59:02 2024  removing 7118734 relations and 5118734 ideals in 2000000 cliques
Fri Aug 16 14:59:07 2024  commencing in-memory singleton removal
Fri Aug 16 14:59:24 2024  begin with 130107023 relations and 112478533 unique ideals
Fri Aug 16 15:00:07 2024  reduce to 129818436 relations and 107067368 ideals in 7 passes
Fri Aug 16 15:00:07 2024  max relations containing the same ideal: 109
Fri Aug 16 15:01:20 2024  removing 7075867 relations and 5075867 ideals in 2000000 cliques
Fri Aug 16 15:01:26 2024  commencing in-memory singleton removal
Fri Aug 16 15:01:36 2024  begin with 122742569 relations and 107067368 unique ideals
Fri Aug 16 15:02:16 2024  reduce to 122443556 relations and 101688258 ideals in 7 passes
Fri Aug 16 15:02:16 2024  max relations containing the same ideal: 106
Fri Aug 16 15:03:19 2024  removing 7054115 relations and 5054115 ideals in 2000000 cliques
Fri Aug 16 15:03:24 2024  commencing in-memory singleton removal
Fri Aug 16 15:03:36 2024  begin with 115389441 relations and 101688258 unique ideals
Fri Aug 16 15:04:13 2024  reduce to 115078048 relations and 96318184 ideals in 7 passes
Fri Aug 16 15:04:13 2024  max relations containing the same ideal: 102
Fri Aug 16 15:05:19 2024  removing 7045439 relations and 5045439 ideals in 2000000 cliques
Fri Aug 16 15:05:25 2024  commencing in-memory singleton removal
Fri Aug 16 15:05:34 2024  begin with 108032609 relations and 96318184 unique ideals
Fri Aug 16 15:06:05 2024  reduce to 107704650 relations and 90939691 ideals in 7 passes
Fri Aug 16 15:06:05 2024  max relations containing the same ideal: 98
Fri Aug 16 15:07:07 2024  removing 7044870 relations and 5044870 ideals in 2000000 cliques
Fri Aug 16 15:07:12 2024  commencing in-memory singleton removal
Fri Aug 16 15:07:20 2024  begin with 100659780 relations and 90939691 unique ideals
Fri Aug 16 15:07:43 2024  reduce to 100312118 relations and 85541391 ideals in 7 passes
Fri Aug 16 15:07:43 2024  max relations containing the same ideal: 91
Fri Aug 16 15:08:39 2024  removing 7061888 relations and 5061888 ideals in 2000000 cliques
Fri Aug 16 15:08:43 2024  commencing in-memory singleton removal
Fri Aug 16 15:08:52 2024  begin with 93250230 relations and 85541391 unique ideals
Fri Aug 16 15:09:19 2024  reduce to 92876155 relations and 80098919 ideals in 7 passes
Fri Aug 16 15:09:19 2024  max relations containing the same ideal: 85
Fri Aug 16 15:10:14 2024  removing 7092273 relations and 5092273 ideals in 2000000 cliques
Fri Aug 16 15:10:19 2024  commencing in-memory singleton removal
Fri Aug 16 15:10:26 2024  begin with 85783882 relations and 80098919 unique ideals
Fri Aug 16 15:10:43 2024  reduce to 85379026 relations and 74594151 ideals in 7 passes
Fri Aug 16 15:10:43 2024  max relations containing the same ideal: 81
Fri Aug 16 15:11:32 2024  removing 7138641 relations and 5138641 ideals in 2000000 cliques
Fri Aug 16 15:11:37 2024  commencing in-memory singleton removal
Fri Aug 16 15:11:43 2024  begin with 78240385 relations and 74594151 unique ideals
Fri Aug 16 15:12:10 2024  reduce to 77797654 relations and 69003811 ideals in 8 passes
Fri Aug 16 15:12:10 2024  max relations containing the same ideal: 77
Fri Aug 16 15:12:49 2024  removing 7200996 relations and 5200996 ideals in 2000000 cliques
Fri Aug 16 15:12:52 2024  commencing in-memory singleton removal
Fri Aug 16 15:12:59 2024  begin with 70596658 relations and 69003811 unique ideals
Fri Aug 16 15:13:19 2024  reduce to 70103594 relations and 63298953 ideals in 7 passes
Fri Aug 16 15:13:19 2024  max relations containing the same ideal: 72
Fri Aug 16 15:13:53 2024  removing 7281782 relations and 5281782 ideals in 2000000 cliques
Fri Aug 16 15:13:57 2024  commencing in-memory singleton removal
Fri Aug 16 15:14:02 2024  begin with 62821812 relations and 63298953 unique ideals
Fri Aug 16 15:14:22 2024  reduce to 62263514 relations and 57445177 ideals in 8 passes
Fri Aug 16 15:14:22 2024  max relations containing the same ideal: 67
Fri Aug 16 15:14:56 2024  removing 7384697 relations and 5384697 ideals in 2000000 cliques
Fri Aug 16 15:14:59 2024  commencing in-memory singleton removal
Fri Aug 16 15:15:04 2024  begin with 54878817 relations and 57445177 unique ideals
Fri Aug 16 15:15:21 2024  reduce to 54228526 relations and 51392624 ideals in 8 passes
Fri Aug 16 15:15:21 2024  max relations containing the same ideal: 63
Fri Aug 16 15:15:53 2024  removing 3094226 relations and 2431567 ideals in 662659 cliques
Fri Aug 16 15:15:56 2024  commencing in-memory singleton removal
Fri Aug 16 15:16:00 2024  begin with 51134300 relations and 51392624 unique ideals
Fri Aug 16 15:16:10 2024  reduce to 51012464 relations and 48837933 ideals in 7 passes
Fri Aug 16 15:16:10 2024  max relations containing the same ideal: 59
Fri Aug 16 15:16:47 2024  relations with 0 large ideals: 67467
Fri Aug 16 15:16:47 2024  relations with 1 large ideals: 65320
Fri Aug 16 15:16:47 2024  relations with 2 large ideals: 653443
Fri Aug 16 15:16:47 2024  relations with 3 large ideals: 3267612
Fri Aug 16 15:16:47 2024  relations with 4 large ideals: 8658652
Fri Aug 16 15:16:47 2024  relations with 5 large ideals: 13444843
Fri Aug 16 15:16:47 2024  relations with 6 large ideals: 12837899
Fri Aug 16 15:16:47 2024  relations with 7+ large ideals: 12017228
Fri Aug 16 15:16:47 2024  commencing 2-way merge
Fri Aug 16 15:17:31 2024  reduce to 31947582 relation sets and 29773051 unique ideals
Fri Aug 16 15:17:31 2024  commencing full merge
Fri Aug 16 15:32:55 2024  memory use: 3934.7 MB
Fri Aug 16 15:32:57 2024  found 13790176 cycles, need 13759251
Fri Aug 16 15:33:02 2024  weight of 13759251 cycles is about 1927077788 (140.06/cycle)
Fri Aug 16 15:33:02 2024  distribution of cycle lengths:
Fri Aug 16 15:33:02 2024  1 relations: 558992
Fri Aug 16 15:33:02 2024  2 relations: 728596
Fri Aug 16 15:33:02 2024  3 relations: 824984
Fri Aug 16 15:33:02 2024  4 relations: 844646
Fri Aug 16 15:33:02 2024  5 relations: 859278
Fri Aug 16 15:33:02 2024  6 relations: 859413
Fri Aug 16 15:33:02 2024  7 relations: 853788
Fri Aug 16 15:33:02 2024  8 relations: 834513
Fri Aug 16 15:33:02 2024  9 relations: 809890
Fri Aug 16 15:33:02 2024  10+ relations: 6585151
Fri Aug 16 15:33:02 2024  heaviest cycle: 28 relations
Fri Aug 16 15:33:06 2024  commencing cycle optimization
Fri Aug 16 15:33:38 2024  start with 138364772 relations
Fri Aug 16 15:39:39 2024  pruned 6859204 relations
Fri Aug 16 15:39:39 2024  memory use: 3504.0 MB
Fri Aug 16 15:39:39 2024  distribution of cycle lengths:
Fri Aug 16 15:39:39 2024  1 relations: 558992
Fri Aug 16 15:39:39 2024  2 relations: 746195
Fri Aug 16 15:39:39 2024  3 relations: 858512
Fri Aug 16 15:39:39 2024  4 relations: 879295
Fri Aug 16 15:39:39 2024  5 relations: 902307
Fri Aug 16 15:39:39 2024  6 relations: 902628
Fri Aug 16 15:39:39 2024  7 relations: 901341
Fri Aug 16 15:39:39 2024  8 relations: 880416
Fri Aug 16 15:39:39 2024  9 relations: 857287
Fri Aug 16 15:39:39 2024  10+ relations: 6272278
Fri Aug 16 15:39:39 2024  heaviest cycle: 28 relations
Fri Aug 16 15:39:59 2024  RelProcTime: 9172
Fri Aug 16 15:39:59 2024  elapsed time 02:32:54
Fri Aug 16 21:07:54 2024  
Fri Aug 16 21:07:54 2024  
Fri Aug 16 21:07:54 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Aug 16 21:07:54 2024  random seeds: 8026d8d1 0541ddd0
Fri Aug 16 21:07:54 2024  Using 64 OpenMP threads
Fri Aug 16 21:07:54 2024  factoring 6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (256 digits)
Fri Aug 16 21:07:55 2024  searching for 15-digit factors
Fri Aug 16 21:07:56 2024  commencing number field sieve (256-digit input)
Fri Aug 16 21:07:56 2024  R0: -5000000000000000000000000000000000000000000
Fri Aug 16 21:07:56 2024  R1: 1
Fri Aug 16 21:07:56 2024  A0: 425
Fri Aug 16 21:07:56 2024  A1: 0
Fri Aug 16 21:07:56 2024  A2: 0
Fri Aug 16 21:07:56 2024  A3: 0
Fri Aug 16 21:07:56 2024  A4: 0
Fri Aug 16 21:07:56 2024  A5: 0
Fri Aug 16 21:07:56 2024  A6: 88
Fri Aug 16 21:07:56 2024  skew 1.00, size 6.266e-13, alpha -0.281, combined = 8.364e-14 rroots = 0
Fri Aug 16 21:07:56 2024  
Fri Aug 16 21:07:56 2024  commencing linear algebra
Fri Aug 16 21:07:56 2024  using VBITS=256
Fri Aug 16 21:07:57 2024  read 13759251 cycles
Fri Aug 16 21:08:22 2024  cycles contain 49833582 unique relations
Fri Aug 16 21:14:29 2024  read 49833582 relations
Fri Aug 16 21:14:33 2024  using 20 quadratic characters above 4294917295
Fri Aug 16 21:14:37 2024  building initial matrix
Fri Aug 16 21:23:46 2024  memory use: 6574.4 MB
Fri Aug 16 21:23:53 2024  read 13759251 cycles
Fri Aug 16 21:23:55 2024  matrix is 13759074 x 13759251 (7377.3 MB) with weight 2103833924 (152.90/col)
Fri Aug 16 21:23:55 2024  sparse part has weight 1782552496 (129.55/col)
Fri Aug 16 21:27:01 2024  filtering completed in 2 passes
Fri Aug 16 21:27:03 2024  matrix is 13758898 x 13759069 (7377.2 MB) with weight 2103827356 (152.90/col)
Fri Aug 16 21:27:03 2024  sparse part has weight 1782550433 (129.55/col)
Fri Aug 16 21:27:55 2024  matrix starts at (0, 0)
Fri Aug 16 21:27:56 2024  matrix is 13758898 x 13759069 (7377.2 MB) with weight 2103827356 (152.90/col)
Fri Aug 16 21:27:56 2024  sparse part has weight 1782550433 (129.55/col)
Fri Aug 16 21:27:56 2024  saving the first 240 matrix rows for later
Fri Aug 16 21:27:59 2024  matrix includes 256 packed rows
Fri Aug 16 21:28:04 2024  matrix is 13758658 x 13759069 (6761.4 MB) with weight 1637575646 (119.02/col)
Fri Aug 16 21:28:04 2024  sparse part has weight 1552322963 (112.82/col)
Fri Aug 16 21:28:04 2024  using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
Fri Aug 16 21:28:35 2024  commencing Lanczos iteration (64 threads)
Fri Aug 16 21:28:35 2024  memory use: 8940.6 MB
Fri Aug 16 21:31:03 2024  linear algebra at 0.2%, ETA 18h 3m
Fri Aug 16 21:34:35 2024  checking every 10000 dimensions, checkpointing every 780000 dimensions
Sat Aug 17 15:08:17 2024  lanczos halted after 53907 iterations (dim = 13758655)
Sat Aug 17 15:09:20 2024  recovered 33 nontrivial dependencies
Sat Aug 17 15:09:21 2024  BLanczosTime: 64885
Sat Aug 17 15:09:21 2024  
Sat Aug 17 15:09:21 2024  commencing square root phase
Sat Aug 17 15:09:21 2024  reading relations for dependency 1
Sat Aug 17 15:09:23 2024  read 6878854 cycles
Sat Aug 17 15:09:38 2024  cycles contain 24915040 unique relations
Sat Aug 17 15:18:22 2024  read 24915040 relations
Sat Aug 17 15:20:33 2024  multiplying 24915040 relations
Sat Aug 17 15:37:04 2024  multiply complete, coefficients have about 814.13 million bits
Sat Aug 17 15:37:07 2024  initial square root is modulo 20137951
Sat Aug 17 15:47:10 2024  sqrtTime: 2269
Sat Aug 17 15:47:10 2024  p60 factor: 730181376387192468168989062544440992837573368584881903964841
Sat Aug 17 15:47:10 2024  p196 factor: 8369305639302664169523920667903084478201765202549730786777463779624241769503444014763773861015282520586664723102611109311390111131990019915472390840098673670589785309006806326342790913284316264993
Sat Aug 17 15:47:10 2024  elapsed time 18:39:16

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:56:40 UTC 2021 年 1 月 21 日 (木) 6 時 56 分 40 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 23, 2021 22:05:26 UTC 2021 年 1 月 24 日 (日) 7 時 5 分 26 秒 (日本時間)
5043e6640Dmitry DomanovFebruary 12, 2021 18:16:58 UTC 2021 年 2 月 13 日 (土) 3 時 16 分 58 秒 (日本時間)
5511e71965010000yoyo@HomeAugust 5, 2021 00:31:16 UTC 2021 年 8 月 5 日 (木) 9 時 31 分 16 秒 (日本時間)
9650yoyo@HomeMarch 1, 2024 22:49:40 UTC 2024 年 3 月 2 日 (土) 7 時 49 分 40 秒 (日本時間)
6026e712000 / 34484yoyo@HomeApril 26, 2024 01:06:36 UTC 2024 年 4 月 26 日 (金) 10 時 6 分 36 秒 (日本時間)

55×10257+179

c255

composite cofactor 合成数の残り
996918615189414536885988762008337864781584194308500996918615189414536885988762008337864781584194308500996918615189414536885988762008337864781584194308500996918615189414536885988762008337864781584194308500996918615189414536885988762008337864781584194308501<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:56:58 UTC 2021 年 1 月 21 日 (木) 6 時 56 分 58 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 1, 2021 21:14:35 UTC 2021 年 2 月 2 日 (火) 6 時 14 分 35 秒 (日本時間)

55×10258+179

c248

composite cofactor 合成数の残り
21956172968786086464104843198609394744021033186558374490086778531902044731563371523363112117607694470853845361165901938256594780750824484281221946521437705459404565942535054265717322718992566106434578478853214101893972501852668784314600107935557169<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:57:12 UTC 2021 年 1 月 21 日 (木) 6 時 57 分 12 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 31, 2021 20:39:34 UTC 2021 年 2 月 1 日 (月) 5 時 39 分 34 秒 (日本時間)

55×10259+179

c230

composite cofactor 合成数の残り
37657159248201059542188619493357234306815020361453681139454597165628617061196045134802252268992546755465701653575468433089047890761920486031987801869577974999009259681699568880200479253224014044733339784530703719394852903669660169<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:57:25 UTC 2021 年 1 月 21 日 (木) 6 時 57 分 25 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 28, 2021 21:23:23 UTC 2021 年 1 月 29 日 (金) 6 時 23 分 23 秒 (日本時間)

55×10260+179

c255

composite cofactor 合成数の残り
537256123572034275377756990849942117978904980198204529108194884872362109064360646164777625294721614878595256927111829276023929583109761523728698161011362185550096056510748101800853221333991325560311737493141437167945189716370770414536079825710206195969739<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:57:38 UTC 2021 年 1 月 21 日 (木) 6 時 57 分 38 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 1, 2021 21:14:55 UTC 2021 年 2 月 2 日 (火) 6 時 14 分 55 秒 (日本時間)

55×10261+179

c194

composite cofactor 合成数の残り
22329422544278421623338986998962821904095539537981206328647800902461687233508551450937998015921255077915684821405652741400589616350837895319146148924950140084998541312511549128869217705631891171<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 18, 2021 16:35:47 UTC 2021 年 1 月 19 日 (火) 1 時 35 分 47 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovJanuary 25, 2021 21:09:43 UTC 2021 年 1 月 26 日 (火) 6 時 9 分 43 秒 (日本時間)

55×10263+179

c212

composite cofactor 合成数の残り
13516272045755625158788773609479047042043935086217933684267366885066896402589097207954170910876835716211545591782078965514909023259818890996711194746298878280119238719416572781671178348904161881973213382524542993<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:57:54 UTC 2021 年 1 月 21 日 (木) 6 時 57 分 54 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 26, 2021 09:52:37 UTC 2021 年 1 月 26 日 (火) 18 時 52 分 37 秒 (日本時間)

55×10265+179

c233

composite cofactor 合成数の残り
20852963271315932609486664596954315888562974695951243703384995019149737856260277820985983916402064092007504652182259663739814732631094255052718000932451558752003857280005359086248763924215771540158907560404276313641408960725853066807<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:58:09 UTC 2021 年 1 月 21 日 (木) 6 時 58 分 9 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 28, 2021 21:23:42 UTC 2021 年 1 月 29 日 (金) 6 時 23 分 42 秒 (日本時間)

55×10266+179

c198

composite cofactor 合成数の残り
290181030519076004134848148531434748566694358632144702377255084271030398474180370286676576105719104246201004734875336142966863760528128722214789457116065723359759804013071424694466946140354614456067<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 18, 2021 14:26:21 UTC 2021 年 1 月 18 日 (月) 23 時 26 分 21 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovJanuary 25, 2021 21:09:58 UTC 2021 年 1 月 26 日 (火) 6 時 9 分 58 秒 (日本時間)

55×10267+179

c254

composite cofactor 合成数の残り
30836381713076134640519624360115771018946056825452449498514899972229504574323988594173142588216922046304569933751966940772627897169518798027194071895636479063825402992639531286407211701446277827758438797609671934425458899678781367565175535832084945163071<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:58:47 UTC 2021 年 1 月 21 日 (木) 6 時 58 分 47 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 1, 2021 21:15:12 UTC 2021 年 2 月 2 日 (火) 6 時 15 分 12 秒 (日本時間)

55×10268+179

c258

composite cofactor 合成数の残り
222682346592040104400205542493014833475945353925820729112444107783680520861017131934705904026901909265327293342828818225747704709667626940127625756427732431946453423889397421512868283783710514414317418653455496232579579109475709328354230907476883177427535593<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:59:02 UTC 2021 年 1 月 21 日 (木) 6 時 59 分 2 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 1, 2021 21:16:11 UTC 2021 年 2 月 2 日 (火) 6 時 16 分 11 秒 (日本時間)

55×10269+179

c226

composite cofactor 合成数の残り
3379885113577068505330201956064550415469347313945300445931652518866533642711073350880710227332033106620806883084941995322143002247387190161179333196535534266090389293132736616412168238234224964558909169226935292624323111181757<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 19, 2021 16:57:08 UTC 2021 年 1 月 20 日 (水) 1 時 57 分 8 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovJanuary 28, 2021 21:24:03 UTC 2021 年 1 月 29 日 (金) 6 時 24 分 3 秒 (日本時間)

55×10270+179

c245

composite cofactor 合成数の残り
57941244018546320387974083221257985199929773201074753225816422124996861615528798227854799251352544699994612332522444501562824885085457841599893778983515455035111166624806395547693587153487654554783604952189387455193955315753466465790342953492799<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 20, 2021 04:20:19 UTC 2021 年 1 月 20 日 (水) 13 時 20 分 19 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovJanuary 31, 2021 20:39:57 UTC 2021 年 2 月 1 日 (月) 5 時 39 分 57 秒 (日本時間)

55×10274+179

c267

composite cofactor 合成数の残り
780992617448605634169633433972468013733809137323662889625910201988560846571800743013372458053095964855525332987242844850581053324430755887439362330944545294021135582889984769209773309239057891218347049033381838228827227306562261074389761229952840726386238430693087113<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 22, 2021 15:00:50 UTC 2021 年 1 月 23 日 (土) 0 時 0 分 50 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 5, 2021 15:36:51 UTC 2021 年 2 月 6 日 (土) 0 時 36 分 51 秒 (日本時間)

55×10275+179

c234

composite cofactor 合成数の残り
936263701941221295669385074198327991139803217417853908381695432394441089224585266615642093813364030835425101262924456178319173781793204360790653647143254865548114325013588947292096367032209130135873183702139823192755910709740648430429<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 19, 2021 16:54:04 UTC 2021 年 1 月 20 日 (水) 1 時 54 分 4 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovJanuary 28, 2021 21:24:22 UTC 2021 年 1 月 29 日 (金) 6 時 24 分 22 秒 (日本時間)

55×10277+179

c211

composite cofactor 合成数の残り
5816088907149162110901614324784624464321062064237488927892374482512599174051040615972641081512846086031004863714901098137535962611430424123536211725654223294851812081314237023921285292007452004067147854011991793<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 21:59:55 UTC 2021 年 1 月 21 日 (木) 6 時 59 分 55 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 25, 2021 21:10:59 UTC 2021 年 1 月 26 日 (火) 6 時 10 分 59 秒 (日本時間)

55×10278+179

c244

composite cofactor 合成数の残り
9424812004376688046318841472854601414150257283596012338606219066979731307677068245871913796084086681834257647421763486535733185897356370833381118619190144084738249625192080824374858318074965549256439841031916242068816329036658259028195207235851<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 22:00:09 UTC 2021 年 1 月 21 日 (木) 7 時 0 分 9 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 31, 2021 20:40:15 UTC 2021 年 2 月 1 日 (月) 5 時 40 分 15 秒 (日本時間)

55×10279+179

c245

composite cofactor 合成数の残り
18650738979532719676313190745125918457623373947560958391756659429986226424433880234749622624711654442946148908797324461975967962507522118431315409996152876273879975778896311526123591179203947037030907376915832328000206187562101112838955238879371<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 22:00:27 UTC 2021 年 1 月 21 日 (木) 7 時 0 分 27 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 31, 2021 20:40:28 UTC 2021 年 2 月 1 日 (月) 5 時 40 分 28 秒 (日本時間)

55×10280+179

c250

composite cofactor 合成数の残り
3978806118972987021752807716460467390442959294887192423712286934571092360831997832463504317169924735117530226014087624133332102540012948501761475696968532314654539668727332729473921511725541799413177266195080079984703921824864812170389478401123524101<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 22:00:41 UTC 2021 年 1 月 21 日 (木) 7 時 0 分 41 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 31, 2021 20:40:48 UTC 2021 年 2 月 1 日 (月) 5 時 40 分 48 秒 (日本時間)

55×10281+179

c224

composite cofactor 合成数の残り
88859526955364937475006173711532755345587076179035222321742799680667418940873847104140210798535760744827096288455763768382161053742762495779791995062127618717961871654492167642035102037552581939477836039717762058525472893989<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 22:00:54 UTC 2021 年 1 月 21 日 (木) 7 時 0 分 54 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 28, 2021 21:24:41 UTC 2021 年 1 月 29 日 (金) 6 時 24 分 41 秒 (日本時間)

55×10282+179

c227

composite cofactor 合成数の残り
13675032574346742128896579126936833021702103867759550104503328766025755647418597123471738348970108896130621283136820694695769110073180326339479436279181522706331720396443791808478314487197839429057761694323490543373210727684823<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 22:01:11 UTC 2021 年 1 月 21 日 (木) 7 時 1 分 11 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 28, 2021 21:24:56 UTC 2021 年 1 月 29 日 (金) 6 時 24 分 56 秒 (日本時間)

55×10283+179

c271

composite cofactor 合成数の残り
6082241749608356380891065235751511724965777994408990533896357366733800922530858573416372739421273211194962882637691146020272011383419279159431199967948338487949278480908536904005163353738907999806796555692496504396284991100407180448273873468174072674145963091819075967259<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 22, 2021 15:01:21 UTC 2021 年 1 月 23 日 (土) 0 時 1 分 21 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 10, 2021 12:59:13 UTC 2021 年 2 月 10 日 (水) 21 時 59 分 13 秒 (日本時間)

55×10284+179

c256

composite cofactor 合成数の残り
1348552106589759005055912777207307036881108976074473211831049729639999936237390751502016735481341590813813848491823470516376056674119628547546033947340217046397836243008676459593832640850132466034931697413736207037688711094488076535794841341528971666786501<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 22:01:25 UTC 2021 年 1 月 21 日 (木) 7 時 1 分 25 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 1, 2021 21:16:41 UTC 2021 年 2 月 2 日 (火) 6 時 16 分 41 秒 (日本時間)

55×10285+179

c276

composite cofactor 合成数の残り
443058186686503620958647612899113470811592129475198912763874930438391521748198884952637271526295530289587128563265659686696037028823433722962301143480851443776811896607938364818570870263922151600067577789870822204249495989974332997455328421351620420594657635320062294129593449<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 22, 2021 15:02:23 UTC 2021 年 1 月 23 日 (土) 0 時 2 分 23 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 10, 2021 12:59:58 UTC 2021 年 2 月 10 日 (水) 21 時 59 分 58 秒 (日本時間)

55×10287+179

c247

composite cofactor 合成数の残り
2633500908006617536067562154102043652857269418475304986924061924385957652308878000848071657683554700931031681778504579348804308203132367063436541880267409814794257579796262065096452009350821021180206755873851300522603772373021715954736582984935487<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 22:01:38 UTC 2021 年 1 月 21 日 (木) 7 時 1 分 38 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 31, 2021 20:41:08 UTC 2021 年 2 月 1 日 (月) 5 時 41 分 8 秒 (日本時間)

55×10288+179

c277

composite cofactor 合成数の残り
2381658710929711803329779629261529028187689394054930688456282315800865106107583061873967253517610192669461232596599441717826893579673327129564256107168218824230311540427514362194425003387532098089310432802199402441830007993976298342621284083221956881257899164033545156425607639<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 22, 2021 15:02:38 UTC 2021 年 1 月 23 日 (土) 0 時 2 分 38 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 10, 2021 13:00:25 UTC 2021 年 2 月 10 日 (水) 22 時 0 分 25 秒 (日本時間)

55×10289+179

c235

composite cofactor 合成数の残り
4921719685518969630678802118445989315506003708462898407778574716964353448211089604672204470699598107983800293645921827053150813838874319785404826471961702948604457291757976587500161693593511043699769215702824414542612406866554873420613<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 22:01:52 UTC 2021 年 1 月 21 日 (木) 7 時 1 分 52 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovJanuary 28, 2021 21:25:20 UTC 2021 年 1 月 29 日 (金) 6 時 25 分 20 秒 (日本時間)

55×10291+179

c264

composite cofactor 合成数の残り
378193652734393978589034475805496587377243906770989260006317622827838368015907696843739369408095140432005580826689561807940820563071261018807969088770768148736845552733522563589080313793439252782440828038913374096441137184458819680199180691358211699266480150875027<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e6120012Dmitry DomanovJanuary 20, 2021 16:49:22 UTC 2021 年 1 月 21 日 (木) 1 時 49 分 22 秒 (日本時間)
1188Dmitry DomanovJanuary 20, 2021 16:49:34 UTC 2021 年 1 月 21 日 (木) 1 時 49 分 34 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 5, 2021 15:37:17 UTC 2021 年 2 月 6 日 (土) 0 時 37 分 17 秒 (日本時間)

55×10292+179

c268

composite cofactor 合成数の残り
4975049167929924715016129749436808332958608356710797996546747103394273906501335035180773270584020843898126095384586379516869697576814949866890424770422834470865556766904261738636520832955130679534907193187719359459669478793781469090428271564115611217505581948218198403<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 16:49:00 UTC 2021 年 1 月 21 日 (木) 1 時 49 分 0 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 5, 2021 15:37:44 UTC 2021 年 2 月 6 日 (土) 0 時 37 分 44 秒 (日本時間)

55×10293+179

c291

composite cofactor 合成数の残り
927330972854493340077558590456921261170123082110942505479683021412915191367391670881807452368909121564660259652672399258135221716405327937953127634462991063901534311245995616253582869667846906086663294554038104872702748271792277862080593491822626875737649637497892429607148878772551003203507<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 22, 2021 15:03:13 UTC 2021 年 1 月 23 日 (土) 0 時 3 分 13 秒 (日本時間)
4511e61000 / 4215Dmitry DomanovFebruary 10, 2021 13:00:54 UTC 2021 年 2 月 10 日 (水) 22 時 0 分 54 秒 (日本時間)

55×10294+179

c242

name 名前Dmitry Domanov
date 日付February 1, 2021 05:07:07 UTC 2021 年 2 月 1 日 (月) 14 時 7 分 7 秒 (日本時間)
composite number 合成数
29145312563409453297105876511006488987276683202824901320247114766362331832975701808313641684353614844812349364117016788199983950886079862982203892064037018083251595879742928971428145218765740314098612458631888205309237944026152562945304146711<242>
prime factors 素因数
181635784342287737635894986564599736253<39>
composite cofactor 合成数の残り
160460190534294154826329148111126392942716577288030674174281136199010733071460539023882117429614247384505765565338182670511901933326575379989714229658689030111992605516847770309272283141598929694894405987<204>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:963834150
Step 1 took 72362ms
Step 2 took 24269ms
********** Factor found in step 2: 181635784342287737635894986564599736253
Found prime factor of 39 digits: 181635784342287737635894986564599736253
Composite cofactor 160460190534294154826329148111126392942716577288030674174281136199010733071460539023882117429614247384505765565338182670511901933326575379989714229658689030111992605516847770309272283141598929694894405987 has 204 digits

c204

name 名前Dmitry Domanov
date 日付February 1, 2021 14:14:48 UTC 2021 年 2 月 1 日 (月) 23 時 14 分 48 秒 (日本時間)
composite number 合成数
160460190534294154826329148111126392942716577288030674174281136199010733071460539023882117429614247384505765565338182670511901933326575379989714229658689030111992605516847770309272283141598929694894405987<204>
prime factors 素因数
887605233371755476811419130275110392661<39>
composite cofactor 合成数の残り
180778779238099257075113798523928274370347949700647233332080620522829353839620217469059637094354029890489534297999496753025409108462231171599267697479935307374135767<165>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:628065763
Step 1 took 67496ms
Step 2 took 24761ms
********** Factor found in step 2: 887605233371755476811419130275110392661
Found prime factor of 39 digits: 887605233371755476811419130275110392661
Composite cofactor 180778779238099257075113798523928274370347949700647233332080620522829353839620217469059637094354029890489534297999496753025409108462231171599267697479935307374135767 has 165 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61776576iveliveJanuary 18, 2021 14:24:43 UTC 2021 年 1 月 18 日 (月) 23 時 24 分 43 秒 (日本時間)
1200Dmitry DomanovJanuary 20, 2021 22:02:15 UTC 2021 年 1 月 21 日 (木) 7 時 2 分 15 秒 (日本時間)
4511e620001000Dmitry DomanovJanuary 31, 2021 20:41:27 UTC 2021 年 2 月 1 日 (月) 5 時 41 分 27 秒 (日本時間)
1000Dmitry DomanovFebruary 1, 2021 14:14:36 UTC 2021 年 2 月 1 日 (月) 23 時 14 分 36 秒 (日本時間)
5043e6640 / 7037Dmitry DomanovFebruary 12, 2021 18:18:25 UTC 2021 年 2 月 13 日 (土) 3 時 18 分 25 秒 (日本時間)

55×10295+179

c263

composite cofactor 合成数の残り
23830500334382156355051546200034005059441941399688271808212725104619162258398359839184989232164843944479953987867228287023164883842425194748184663028171602250019320344818186797215156315437341004850896186171783323097863320682086999296654025767062667636884161203031<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e6576iveliveJanuary 18, 2021 14:08:49 UTC 2021 年 1 月 18 日 (月) 23 時 8 分 49 秒 (日本時間)
4511e61000 / 4353Dmitry DomanovFebruary 5, 2021 15:38:06 UTC 2021 年 2 月 6 日 (土) 0 時 38 分 6 秒 (日本時間)

55×10298+179

c284

composite cofactor 合成数の残り
83464286416227140416698399419076467584016518302954148769923755833133965015565934299826014610360184972641373356198819615819885509989253077716828967432876638877114094008917800682190878649389476124379449465392676733231653357939644288967377952008235828555324398335080633717044183455594747<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61776576iveliveJanuary 18, 2021 13:49:26 UTC 2021 年 1 月 18 日 (月) 22 時 49 分 26 秒 (日本時間)
1200Dmitry DomanovFebruary 10, 2021 13:01:24 UTC 2021 年 2 月 10 日 (水) 22 時 1 分 24 秒 (日本時間)
4511e61000 / 4088Dmitry DomanovFebruary 10, 2021 13:01:24 UTC 2021 年 2 月 10 日 (水) 22 時 1 分 24 秒 (日本時間)

55×10300+179

c296

name 名前Dmitry Domanov
date 日付January 25, 2021 21:08:05 UTC 2021 年 1 月 26 日 (火) 6 時 8 分 5 秒 (日本時間)
composite number 合成数
21665459309706952997376903753757479999826676325522344376020984769969940160001386589395821244991832121840240478719988907284833430040065343025278076170240088741721332559679477255797775390638079290066229339522564181953617796874895365679470165283819486544371057625000837074564238677729444107645031539<296>
prime factors 素因数
139147364741786652466107266677907138993644417613<48>
155701542389330688898897079889819734602881019953660132873074382642132397836304591046637284917063127299255929729429848677886444070161401476201093671246781722227565827948257761531555809174174837020298320639313212894204155260975768025917870667026579903<249>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:4147973115
Step 1 took 530186ms
Step 2 took 136118ms
********** Factor found in step 2: 139147364741786652466107266677907138993644417613
Found prime factor of 48 digits: 139147364741786652466107266677907138993644417613
Prime cofactor 155701542389330688898897079889819734602881019953660132873074382642132397836304591046637284917063127299255929729429848677886444070161401476201093671246781722227565827948257761531555809174174837020298320639313212894204155260975768025917870667026579903 has 249 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61776576iveliveJanuary 18, 2021 13:29:15 UTC 2021 年 1 月 18 日 (月) 22 時 29 分 15 秒 (日本時間)
1200Dmitry DomanovJanuary 22, 2021 21:08:07 UTC 2021 年 1 月 23 日 (土) 6 時 8 分 7 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 22, 2021 22:42:57 UTC 2021 年 1 月 23 日 (土) 7 時 42 分 57 秒 (日本時間)
5043e6600 / 7037Dmitry DomanovJanuary 24, 2021 20:47:34 UTC 2021 年 1 月 25 日 (月) 5 時 47 分 34 秒 (日本時間)