Table of contents 目次

76×10101+419

c95

name 名前Serge Batalov
date 日付January 15, 2010 05:39:34 UTC 2010 年 1 月 15 日 (金) 14 時 39 分 34 秒 (日本時間)
composite number 合成数
10200349178621512813169291801017176941080446459029513036685785328768789816601654271423799755077<95>
prime factors 素因数
10720144663351991767472870990874385933<38>
951512269558501603182635331392759195592439248823028242969<57>
factorization results 素因数分解の結果
SNFS difficulty: 102 digits.
Divisors found:
 r1=10720144663351991767472870990874385933 (pp38)
 r2=951512269558501603182635331392759195592439248823028242969 (pp57)
Version: Msieve v. 1.44 SVN157
Total time: 0.23 hours.
Scaled time: 0.55 units (timescale=2.400).
Factorization parameters were as follows:
name: 84449_101
n: 10200349178621512813169291801017176941080446459029513036685785328768789816601654271423799755077
m: 10000000000000000000000000
deg: 4
c4: 760
c0: 41
skew: 0.48
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 250001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 29281 x 29529
Total sieving time: 0.21 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,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.23 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10103+419

c92

name 名前Serge Batalov
date 日付January 14, 2010 08:57:58 UTC 2010 年 1 月 14 日 (木) 17 時 57 分 58 秒 (日本時間)
composite number 合成数
32366064181951155197246649428906764876923980450985642346510672885036131502667488207300966267<92>
prime factors 素因数
1285077708427829903756134528414879<34>
25186075495425058717183979271710992783011694086045496791973<59>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1527499352
Step 1 took 3785ms
Step 2 took 2760ms
********** Factor found in step 2: 1285077708427829903756134528414879
Found probable prime factor of 34 digits: 1285077708427829903756134528414879
Probable prime cofactor has 59 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10111+419

c105

name 名前Robert Backstrom
date 日付January 15, 2010 13:54:23 UTC 2010 年 1 月 15 日 (金) 22 時 54 分 23 秒 (日本時間)
composite number 合成数
120464258919309648940980233937501376720235363195881030265058412382098915387205866084438810457859271405121<105>
prime factors 素因数
62195669499910778731337398238212939924456606331737<50>
1936859268304563519203202494160520752503745275889499433<55>
factorization results 素因数分解の結果
Number: n
N=120464258919309648940980233937501376720235363195881030265058412382098915387205866084438810457859271405121
  ( 105 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=62195669499910778731337398238212939924456606331737 (pp50)
 r2=1936859268304563519203202494160520752503745275889499433 (pp55)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.79 hours.
Scaled time: 1.44 units (timescale=1.818).
Factorization parameters were as follows:
name: KA_8_4_110_9
n: 120464258919309648940980233937501376720235363195881030265058412382098915387205866084438810457859271405121
m: 10000000000000000000000
deg: 5
c5: 760
c0: 41
skew: 0.56
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 52
mfba: 52
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 52/52
Sieved rational special-q in [265000, 425001)
Primes: RFBsize:43825, AFBsize:43852, largePrimes:1349740 encountered
Relations: rels:1299585, finalFF:116051
Max relations in full relation-set: 48
Initial matrix: 87744 x 116051 with sparse part having weight 9259223.
Pruned matrix : 79879 x 80381 with weight 4309097.
Total sieving time: 0.74 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,530000,530000,25,25,52,52,2.3,2.3,50000
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 KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10117+419

c98

name 名前Erik Branger
date 日付January 15, 2010 10:58:29 UTC 2010 年 1 月 15 日 (金) 19 時 58 分 29 秒 (日本時間)
composite number 合成数
81130193093629746027810876617213808959830744572570499376489303970454755038389713891947279315989981<98>
prime factors 素因数
62151935629743551532770766598948009481393999599<47>
1305352637397248213601051417748951032985351553042419<52>
factorization results 素因数分解の結果
Number: 84449_117
N=81130193093629746027810876617213808959830744572570499376489303970454755038389713891947279315989981
  ( 98 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=62151935629743551532770766598948009481393999599 (pp47)
 r2=1305352637397248213601051417748951032985351553042419 (pp52)
Version: Msieve v. 1.43
Total time: 1.42 hours.
Scaled time: 1.39 units (timescale=0.975).
Factorization parameters were as follows:
n: 81130193093629746027810876617213808959830744572570499376489303970454755038389713891947279315989981
m: 100000000000000000000000
deg: 5
c5: 7600
c0: 41
skew: 0.35
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 835001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 86281 x 86506
Total sieving time: 1.36 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 1.42 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 KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10119+419

c110

name 名前Sinkiti Sibata
date 日付January 16, 2010 10:40:41 UTC 2010 年 1 月 16 日 (土) 19 時 40 分 41 秒 (日本時間)
composite number 合成数
58002678355288929457299244952682811908312233494683067647509245505524884905781987533594439339586365176403676913<110>
prime factors 素因数
79145685173743510751044267944919381000290222205801243<53>
732859640142849514678325633712192001590687374282108926691<57>
factorization results 素因数分解の結果
Number: 84449_119
N=58002678355288929457299244952682811908312233494683067647509245505524884905781987533594439339586365176403676913
  ( 110 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=79145685173743510751044267944919381000290222205801243 (pp53)
 r2=732859640142849514678325633712192001590687374282108926691 (pp57)
Version: Msieve-1.40
Total time: 1.73 hours.
Scaled time: 5.79 units (timescale=3.356).
Factorization parameters were as follows:
name: 84449_119
n: 58002678355288929457299244952682811908312233494683067647509245505524884905781987533594439339586365176403676913
m: 200000000000000000000000
deg: 5
c5: 23750
c0: 41
skew: 0.28
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 760001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 101565 x 101813
Total sieving time: 1.69 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120.000,5,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 1.73 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10120+419

c120

name 名前Dmitry Domanov
date 日付January 15, 2010 23:30:34 UTC 2010 年 1 月 16 日 (土) 8 時 30 分 34 秒 (日本時間)
composite number 合成数
649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649573<120>
prime factors 素因数
25299996773569972741641216589793116471513<41>
25674811557732510937458618602258731246345572165041654801910928995086060855680621<80>
factorization results 素因数分解の結果
N=649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649573
  ( 120 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=25299996773569972741641216589793116471513 (pp41)
 r2=25674811557732510937458618602258731246345572165041654801910928995086060855680621 (pp80)
Version: Msieve-1.40
Total time: 1.46 hours.
Scaled time: 2.77 units (timescale=1.894).
Factorization parameters were as follows:
n: 649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649573
m: 1000000000000000000000000
deg: 5
c5: 76
c0: 41
skew: 0.88
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 725001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89923 x 90148
Total sieving time: 1.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 1.46 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 KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10121+419

c91

name 名前Sinkiti Sibata
date 日付January 15, 2010 04:38:34 UTC 2010 年 1 月 15 日 (金) 13 時 38 分 34 秒 (日本時間)
composite number 合成数
1140789852578513008096854613162117914472310705632573504931924841272889985724362862961819169<91>
prime factors 素因数
3180395041466643369261655369346849<34>
358694387868381363888155456471858734145822388063188135681<57>
factorization results 素因数分解の結果
Number: 84449_121
N=1140789852578513008096854613162117914472310705632573504931924841272889985724362862961819169
  ( 91 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=3180395041466643369261655369346849 (pp34)
 r2=358694387868381363888155456471858734145822388063188135681 (pp57)
Version: Msieve-1.40
Total time: 2.86 hours.
Scaled time: 5.85 units (timescale=2.045).
Factorization parameters were as follows:
name: 84449_121
n: 1140789852578513008096854613162117914472310705632573504931924841272889985724362862961819169
m: 1000000000000000000000000
deg: 5
c5: 760
c0: 41
skew: 0.56
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 840001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 100220 x 100446
Total sieving time: 2.79 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 2.86 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 KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10122+419

c87

name 名前Sinkiti Sibata
date 日付January 14, 2010 11:56:07 UTC 2010 年 1 月 14 日 (木) 20 時 56 分 7 秒 (日本時間)
composite number 合成数
953033799393583408986422334631904233723964124866114829801565227114262580641295739177799<87>
prime factors 素因数
40848147672663586969207694492536612183<38>
23331138709904661190771274423302408876673690788753<50>
factorization results 素因数分解の結果
u Jan 14 19:30:01 2010  Msieve v. 1.42
Thu Jan 14 19:30:01 2010  random seeds: a6fa9610 6478c588
Thu Jan 14 19:30:01 2010  factoring 953033799393583408986422334631904233723964124866114829801565227114262580641295739177799 (87 digits)
Thu Jan 14 19:30:02 2010  searching for 15-digit factors
Thu Jan 14 19:30:03 2010  commencing quadratic sieve (87-digit input)
Thu Jan 14 19:30:03 2010  using multiplier of 1
Thu Jan 14 19:30:03 2010  using 32kb Intel Core sieve core
Thu Jan 14 19:30:03 2010  sieve interval: 22 blocks of size 32768
Thu Jan 14 19:30:03 2010  processing polynomials in batches of 10
Thu Jan 14 19:30:03 2010  using a sieve bound of 1496569 (57000 primes)
Thu Jan 14 19:30:03 2010  using large prime bound of 119725520 (26 bits)
Thu Jan 14 19:30:03 2010  using double large prime bound of 347325050500720 (42-49 bits)
Thu Jan 14 19:30:03 2010  using trial factoring cutoff of 49 bits
Thu Jan 14 19:30:03 2010  polynomial 'A' values have 11 factors
Thu Jan 14 20:11:20 2010  57216 relations (16263 full + 40953 combined from 595135 partial), need 57096
Thu Jan 14 20:11:21 2010  begin with 611398 relations
Thu Jan 14 20:11:21 2010  reduce to 136448 relations in 9 passes
Thu Jan 14 20:11:21 2010  attempting to read 136448 relations
Thu Jan 14 20:11:23 2010  recovered 136448 relations
Thu Jan 14 20:11:23 2010  recovered 112707 polynomials
Thu Jan 14 20:11:23 2010  attempting to build 57216 cycles
Thu Jan 14 20:11:23 2010  found 57216 cycles in 5 passes
Thu Jan 14 20:11:23 2010  distribution of cycle lengths:
Thu Jan 14 20:11:23 2010     length 1 : 16263
Thu Jan 14 20:11:23 2010     length 2 : 11177
Thu Jan 14 20:11:23 2010     length 3 : 9991
Thu Jan 14 20:11:23 2010     length 4 : 7419
Thu Jan 14 20:11:23 2010     length 5 : 5278
Thu Jan 14 20:11:23 2010     length 6 : 3095
Thu Jan 14 20:11:23 2010     length 7 : 1831
Thu Jan 14 20:11:23 2010     length 9+: 2162
Thu Jan 14 20:11:23 2010  largest cycle: 18 relations
Thu Jan 14 20:11:24 2010  matrix is 57000 x 57216 (13.2 MB) with weight 3225290 (56.37/col)
Thu Jan 14 20:11:24 2010  sparse part has weight 3225290 (56.37/col)
Thu Jan 14 20:11:24 2010  filtering completed in 3 passes
Thu Jan 14 20:11:24 2010  matrix is 52478 x 52542 (12.2 MB) with weight 2988020 (56.87/col)
Thu Jan 14 20:11:24 2010  sparse part has weight 2988020 (56.87/col)
Thu Jan 14 20:11:24 2010  saving the first 48 matrix rows for later
Thu Jan 14 20:11:24 2010  matrix is 52430 x 52542 (7.7 MB) with weight 2329559 (44.34/col)
Thu Jan 14 20:11:24 2010  sparse part has weight 1708382 (32.51/col)
Thu Jan 14 20:11:24 2010  matrix includes 64 packed rows
Thu Jan 14 20:11:24 2010  using block size 21016 for processor cache size 1024 kB
Thu Jan 14 20:11:25 2010  commencing Lanczos iteration
Thu Jan 14 20:11:25 2010  memory use: 8.0 MB
Thu Jan 14 20:11:42 2010  lanczos halted after 831 iterations (dim = 52429)
Thu Jan 14 20:11:42 2010  recovered 17 nontrivial dependencies
Thu Jan 14 20:11:43 2010  prp38 factor: 40848147672663586969207694492536612183
Thu Jan 14 20:11:43 2010  prp50 factor: 23331138709904661190771274423302408876673690788753
Thu Jan 14 20:11:43 2010  elapsed time 00:41:42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10124+419

c102

name 名前Jo Yeong Uk
date 日付January 16, 2010 02:48:55 UTC 2010 年 1 月 16 日 (土) 11 時 48 分 55 秒 (日本時間)
composite number 合成数
321925572957242856439382128179439888389527205026195453885067268000787159645025811516346466659058546877<102>
prime factors 素因数
300163705395474007800144971904881840555902001<45>
1072499996403952251641716846130319285183112242291748492877<58>
factorization results 素因数分解の結果
Number: 84449_124
N=321925572957242856439382128179439888389527205026195453885067268000787159645025811516346466659058546877
  ( 102 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=300163705395474007800144971904881840555902001
 r2=1072499996403952251641716846130319285183112242291748492877
Version: 
Total time: 1.33 hours.
Scaled time: 3.18 units (timescale=2.390).
Factorization parameters were as follows:
n: 321925572957242856439382128179439888389527205026195453885067268000787159645025811516346466659058546877
m: 10000000000000000000000000
deg: 5
c5: 38
c0: 205
skew: 1.40
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2459045
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 141827 x 142075
Total sieving time: 1.17 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,800000,800000,26,26,46,46,2.3,2.3,40000
total time: 1.33 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10126+419

c109

name 名前Sinkiti Sibata
date 日付January 16, 2010 05:34:04 UTC 2010 年 1 月 16 日 (土) 14 時 34 分 4 秒 (日本時間)
composite number 合成数
1161179826450656473416807625359682946132727391621504136309191817457112763307971037941599311879136680565656367<109>
prime factors 素因数
2174479248118286030080307481508183986569<40>
534003636712329435475789574978060328971765392446669773490617665233143<69>
factorization results 素因数分解の結果
Number: 84449_126
N=1161179826450656473416807625359682946132727391621504136309191817457112763307971037941599311879136680565656367
  ( 109 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=2174479248118286030080307481508183986569 (pp40)
 r2=534003636712329435475789574978060328971765392446669773490617665233143 (pp69)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 5.08 hours.
Scaled time: 2.39 units (timescale=0.471).
Factorization parameters were as follows:
name: 84449_126
n: 1161179826450656473416807625359682946132727391621504136309191817457112763307971037941599311879136680565656367
m: 10000000000000000000000000
deg: 5
c5: 760
c0: 41
skew: 0.56
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 925001)
Primes: RFBsize:74907, AFBsize:74774, largePrimes:2564108 encountered
Relations: rels:2431546, finalFF:172546
Max relations in full relation-set: 28
Initial matrix: 149748 x 172546 with sparse part having weight 13638233.
Pruned matrix : 143794 x 144606 with weight 9508102.
Total sieving time: 4.61 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,50000
total time: 5.08 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4  2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10127+419

c103

name 名前Dmitry Domanov
date 日付January 16, 2010 01:51:26 UTC 2010 年 1 月 16 日 (土) 10 時 51 分 26 秒 (日本時間)
composite number 合成数
5187139577158441226215585886589947050031658122435044080949530584254706040860725969228336102985709419981<103>
prime factors 素因数
2341918110097952160824661213391747498349<40>
2214910741239148593917939865894811681917764640847352062593651169<64>
factorization results 素因数分解の結果
Number: qq1
N=5187139577158441226215585886589947050031658122435044080949530584254706040860725969228336102985709419981
  ( 103 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=2341918110097952160824661213391747498349 (pp40)
 r2=2214910741239148593917939865894811681917764640847352062593651169 (pp64)
Version: Msieve-1.40
Total time: 1.98 hours.
Scaled time: 3.74 units (timescale=1.894).
Factorization parameters were as follows:
n: 5187139577158441226215585886589947050031658122435044080949530584254706040860725969228336102985709419981
m: 10000000000000000000000000
deg: 5
c5: 7600
c0: 41
skew: 0.35
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 141873 x 142098
Total sieving time: 1.89 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,50000
total time: 1.98 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 KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10132+419

c97

name 名前Jo Yeong Uk
date 日付January 16, 2010 04:53:18 UTC 2010 年 1 月 16 日 (土) 13 時 53 分 18 秒 (日本時間)
composite number 合成数
2994717289411340431439961946091017025098278414385794576472301966323964221708991680345769290537187<97>
prime factors 素因数
18738403390623580791835934651948952822469<41>
159817100047587435230433716460012174318164677883542431623<57>
factorization results 素因数分解の結果
Number: 84449_132
N=2994717289411340431439961946091017025098278414385794576472301966323964221708991680345769290537187
  ( 97 digits)
Divisors found:
 r1=18738403390623580791835934651948952822469
 r2=159817100047587435230433716460012174318164677883542431623
Version: 
Total time: 1.87 hours.
Scaled time: 4.46 units (timescale=2.386).
Factorization parameters were as follows:
name: 84449_132
n: 2994717289411340431439961946091017025098278414385794576472301966323964221708991680345769290537187
skew: 1620.63
# norm 7.08e+12
c5: 90720
c4: 845984844
c3: -1173770580558
c2: -2897279745052453
c1: 778816911938872550
c0: 95582891977062029624
# alpha -4.65
Y1: 3616066021
Y0: -2012468550785399331
# Murphy_E 4.94e-09
# M 2226747507667327671765980424100090294418067474865596516040956505675181409683240888467019050771438
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [500000, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4048129
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145697 x 145945
Polynomial selection time: 0.11 hours.
Total sieving time: 1.50 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000
total time: 1.87 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10135+419

c107

name 名前Dmitry Domanov
date 日付January 16, 2010 08:38:46 UTC 2010 年 1 月 16 日 (土) 17 時 38 分 46 秒 (日本時間)
composite number 合成数
13858912285552379656018010622448906380012099713256400744664091158216032703141485180269630021732489334919317<107>
prime factors 素因数
673635654797345969474249638249212202192997034311<48>
20573305743030545178137457633093069186139381345205418599747<59>
factorization results 素因数分解の結果
N=13858912285552379656018010622448906380012099713256400744664091158216032703141485180269630021732489334919317
  ( 107 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=673635654797345969474249638249212202192997034311 (pp48)
 r2=20573305743030545178137457633093069186139381345205418599747 (pp59)
Version: Msieve-1.40
Total time: 3.90 hours.
Scaled time: 7.66 units (timescale=1.963).
Factorization parameters were as follows:
n: 13858912285552379656018010622448906380012099713256400744664091158216032703141485180269630021732489334919317
m: 1000000000000000000000000000
deg: 5
c5: 76
c0: 41
skew: 0.88
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1420001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204511 x 204736
Total sieving time: 3.75 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 3.90 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 KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10138+419

c112

name 名前Sinkiti Sibata
date 日付January 15, 2010 10:30:21 UTC 2010 年 1 月 15 日 (金) 19 時 30 分 21 秒 (日本時間)
composite number 合成数
2764071457679015605293374916503952837400082820702730713256853822848926158209101271281367044015159178539510599671<112>
prime factors 素因数
86501766461710416281481200092217328067<38>
31953930777847390121767248727111338588346088095312274360498011309341524413<74>
factorization results 素因数分解の結果
Number: 84449_138
N=2764071457679015605293374916503952837400082820702730713256853822848926158209101271281367044015159178539510599671
  ( 112 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=86501766461710416281481200092217328067 (pp38)
 r2=31953930777847390121767248727111338588346088095312274360498011309341524413 (pp74)
Version: Msieve-1.40
Total time: 4.40 hours.
Scaled time: 14.70 units (timescale=3.344).
Factorization parameters were as follows:
name: 84449_138
n: 2764071457679015605293374916503952837400082820702730713256853822848926158209101271281367044015159178539510599671
m: 2000000000000000000000000000
deg: 5
c5: 2375
c0: 41
skew: 0.44
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 234966 x 235214
Total sieving time: 4.23 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,75000
total time: 4.40 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10141+419

c142

name 名前Dmitry Domanov
date 日付January 16, 2010 08:40:41 UTC 2010 年 1 月 16 日 (土) 17 時 40 分 41 秒 (日本時間)
composite number 合成数
1206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207<142>
prime factors 素因数
343755567040098257421255910593953174913743633<45>
3509322675808443344213627362134602825483462827427565449594829564862031262052966805878118048253479<97>
factorization results 素因数分解の結果
N=1206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207
  ( 142 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=343755567040098257421255910593953174913743633 (pp45)
 r2=3509322675808443344213627362134602825483462827427565449594829564862031262052966805878118048253479 (pp97)
Version: Msieve-1.40
Total time: 7.19 hours.
Scaled time: 13.82 units (timescale=1.922).
Factorization parameters were as follows:
n: 1206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207
m: 10000000000000000000000000000
deg: 5
c5: 760
c0: 41
skew: 0.56
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 2240001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 293617 x 293842
Total sieving time: 7.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,100000
total time: 7.19 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 KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10142+419

c135

name 名前Dmitry Domanov
date 日付January 16, 2010 08:39:51 UTC 2010 年 1 月 16 日 (土) 17 時 39 分 51 秒 (日本時間)
composite number 合成数
113228180565747712012346076618730037008587612424686951713626221302676501900634159946294431788208128037475467030760462780039733416328517<135>
prime factors 素因数
8505544832669426714758398275024470303309441<43>
13312278377611180079671651563179640415175945840191665586967059484915452020527126232830551237<92>
factorization results 素因数分解の結果
N=113228180565747712012346076618730037008587612424686951713626221302676501900634159946294431788208128037475467030760462780039733416328517
  ( 135 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=8505544832669426714758398275024470303309441 (pp43)
 r2=13312278377611180079671651563179640415175945840191665586967059484915452020527126232830551237 (pp92)
Version: Msieve-1.40
Total time: 6.52 hours.
Scaled time: 12.49 units (timescale=1.916).
Factorization parameters were as follows:
n: 113228180565747712012346076618730037008587612424686951713626221302676501900634159946294431788208128037475467030760462780039733416328517
m: 10000000000000000000000000000
deg: 5
c5: 7600
c0: 41
skew: 0.35
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 2075001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 293666 x 293891
Total sieving time: 6.35 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 6.52 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 KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10149+419

c148

name 名前Robert Backstrom
date 日付January 16, 2010 23:50:00 UTC 2010 年 1 月 17 日 (日) 8 時 50 分 0 秒 (日本時間)
composite number 合成数
4201216141514648977335544499723604201216141514648977335544499723604201216141514648977335544499723604201216141514648977335544499723604201216141514649<148>
prime factors 素因数
502114555764131395007364564685509159011<39>
8367047107648822486086894939087505661530913898982519292401717661670969683507488807135573175241155112793103059<109>
factorization results 素因数分解の結果
Number: n
N=4201216141514648977335544499723604201216141514648977335544499723604201216141514648977335544499723604201216141514648977335544499723604201216141514649
  ( 148 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=502114555764131395007364564685509159011 (pp39)
 r2=8367047107648822486086894939087505661530913898982519292401717661670969683507488807135573175241155112793103059 (pp109)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 21.47 hours.
Scaled time: 39.26 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_8_4_148_9
n: 4201216141514648977335544499723604201216141514648977335544499723604201216141514648977335544499723604201216141514648977335544499723604201216141514649
m: 200000000000000000000000000000
deg: 5
c5: 23750
c0: 41
skew: 0.28
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1150000, 2350001)
Primes: RFBsize:169511, AFBsize:169642, largePrimes:6087630 encountered
Relations: rels:5840545, finalFF:398709
Max relations in full relation-set: 48
Initial matrix: 339220 x 398709 with sparse part having weight 53916598.
Pruned matrix : 323699 x 325459 with weight 36965131.
Total sieving time: 19.74 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.45 hours.
Total square root time: 0.12 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,52,52,2.3,2.3,100000
total time: 21.47 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 KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10151+419

c150

name 名前Dmitry Domanov
date 日付October 26, 2010 23:09:40 UTC 2010 年 10 月 27 日 (水) 8 時 9 分 40 秒 (日本時間)
composite number 合成数
149990132228142885336491020327610025656206828498125123347148213933293862245904874679297414643773435958160647325833826721926189066508782316952832050523<150>
prime factors 素因数
28360560378495311171396676422163517147<38>
5288687184822852003937431597796847564257058636487622922132852962813148075110861405315426099224275342337554164609<112>
factorization results 素因数分解の結果
Number: kz1
N=149990132228142885336491020327610025656206828498125123347148213933293862245904874679297414643773435958160647325833826721926189066508782316952832050523
  ( 150 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=28360560378495311171396676422163517147 (pp38)
 r2=5288687184822852003937431597796847564257058636487622922132852962813148075110861405315426099224275342337554164609 (pp112)
Version: Msieve-1.40
Total time: 17.49 hours.
Scaled time: 33.43 units (timescale=1.911).
Factorization parameters were as follows:
n: 149990132228142885336491020327610025656206828498125123347148213933293862245904874679297414643773435958160647325833826721926189066508782316952832050523
m: 1000000000000000000000000000000
deg: 5
c5: 760
c0: 41
skew: 0.56
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 480036 x 480261
Total sieving time: 16.94 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 17.49 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 KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10152+419

c99

name 名前Dmitry Domanov
date 日付October 27, 2010 04:45:45 UTC 2010 年 10 月 27 日 (水) 13 時 45 分 45 秒 (日本時間)
composite number 合成数
315719421543500910468229716954083716250600961735113981926771697058889122333700979621659950651263747<99>
prime factors 素因数
811722192757651664155782271619841393539809<42>
388950091990108145273401223297800660643404991451594704483<57>
factorization results 素因数分解の結果
Number: cc99
N=315719421543500910468229716954083716250600961735113981926771697058889122333700979621659950651263747
  ( 99 digits)
Divisors found:
 r1=811722192757651664155782271619841393539809 (pp42)
 r2=388950091990108145273401223297800660643404991451594704483 (pp57)
Version: Msieve-1.40
Total time: 3.97 hours.
Scaled time: 7.55 units (timescale=1.899).
Factorization parameters were as follows:
name: cc99
n: 315719421543500910468229716954083716250600961735113981926771697058889122333700979621659950651263747
skew: 2052.98
# norm 2.79e+013
c5: 372780
c4: 1363234104
c3: -2573699986817
c2: -12501192140691442
c1: 5278647276523698808
c0: 3234940130627427537840
# alpha -5.80
Y1: 17483230919
Y0: -3850953697423587899
# Murphy_E 4.18e-009
# M 174752856239738147526862830275990553772038811288165891864673036887635581197076297015570101082969272
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 143396 x 143635
Total sieving time: 3.85 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.97 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 KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 16:21:13 UTC 2010 年 10 月 26 日 (火) 1 時 21 分 13 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 25, 2010 16:21:13 UTC 2010 年 10 月 26 日 (火) 1 時 21 分 13 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 25, 2010 16:21:13 UTC 2010 年 10 月 26 日 (火) 1 時 21 分 13 秒 (日本時間)

76×10154+419

c108

name 名前Dmitry Domanov
date 日付October 27, 2010 04:47:26 UTC 2010 年 10 月 27 日 (水) 13 時 47 分 26 秒 (日本時間)
composite number 合成数
418381623366505608010538091880286917232289329446234206143027358791983263740011122279639412171968309243071243<108>
prime factors 素因数
20625013557553004003162561218794765286494303974921<50>
20285156283608441139456383675465623653641599197695224896883<59>
factorization results 素因数分解の結果
Number: cc108
N=418381623366505608010538091880286917232289329446234206143027358791983263740011122279639412171968309243071243
  ( 108 digits)
Divisors found:
 r1=20625013557553004003162561218794765286494303974921 (pp50)
 r2=20285156283608441139456383675465623653641599197695224896883 (pp59)
Version: Msieve-1.40
Total time: 8.36 hours.
Scaled time: 16.12 units (timescale=1.928).
Factorization parameters were as follows:
name: cc108
n: 418381623366505608010538091880286917232289329446234206143027358791983263740011122279639412171968309243071243
skew: 18663.27
# norm 3.17e+015
c5: 134400
c4: 7921057000
c3: -159633337183098
c2: -991979528518310433
c1: 28825345962542273981696
c0: 2978135571140829507719220
# alpha -7.32
Y1: 275498724127
Y0: -315231923994608489513
# Murphy_E 1.32e-009
# M 130478037110653133041359802176828746413358736119257418120658136852079450767455350110581466108045775210779188
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 298749 x 298975
Total sieving time: 8.06 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 8.36 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 KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10159+419

c100

name 名前Dmitry Domanov
date 日付October 27, 2010 04:46:24 UTC 2010 年 10 月 27 日 (水) 13 時 46 分 24 秒 (日本時間)
composite number 合成数
1958094998315039856991865760374075326611704209792225899370609866403686925763753495232695124407561317<100>
prime factors 素因数
9606356561347226941539542390763258443022563<43>
203833262466413196952499242652880034266605630983520372759<57>
factorization results 素因数分解の結果
Number: cc100
N=1958094998315039856991865760374075326611704209792225899370609866403686925763753495232695124407561317
  ( 100 digits)
Divisors found:
 r1=9606356561347226941539542390763258443022563 (pp43)
 r2=203833262466413196952499242652880034266605630983520372759 (pp57)
Version: Msieve-1.40
Total time: 3.99 hours.
Scaled time: 7.77 units (timescale=1.946).
Factorization parameters were as follows:
name: cc100
n: 1958094998315039856991865760374075326611704209792225899370609866403686925763753495232695124407561317
skew: 1790.40
# norm 1.26e+014
c5: 1004400
c4: -6144155100
c3: -14090129750790
c2: -8467770122194031
c1: 19305813390967882842
c0: 342738873852010949775
# alpha -6.81
Y1: 6514022371
Y0: -4549735730184613454
# Murphy_E 3.93e-009
# M 1360057067432842603099380292113855307710164721005931533783485014009357129219452793474544768040466352
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 142028 x 142266
Total sieving time: 3.89 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.99 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 KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10160+419

c156

name 名前Dmitry Domanov
date 日付October 26, 2010 23:08:54 UTC 2010 年 10 月 27 日 (水) 8 時 8 分 54 秒 (日本時間)
composite number 合成数
321934726039902114899350920288538234196499637611634043241764083691168017309921901177052662167205271935297897639159462318175714515062520994591920200853381183<156>
prime factors 素因数
15147248429369744706480534474919078394351207147162749<53>
21253677031908121768057916273432753763566052163765291802861340471973897310505875178037566628162687273067<104>
factorization results 素因数分解の結果
Number: kz2
N=321934726039902114899350920288538234196499637611634043241764083691168017309921901177052662167205271935297897639159462318175714515062520994591920200853381183
  ( 156 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=15147248429369744706480534474919078394351207147162749 (pp53)
 r2=21253677031908121768057916273432753763566052163765291802861340471973897310505875178037566628162687273067 (pp104)
Version: Msieve-1.40
Total time: 30.94 hours.
Scaled time: 56.75 units (timescale=1.834).
Factorization parameters were as follows:
n: 321934726039902114899350920288538234196499637611634043241764083691168017309921901177052662167205271935297897639159462318175714515062520994591920200853381183
m: 100000000000000000000000000000000
deg: 5
c5: 76
c0: 41
skew: 0.88
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 710750 x 710977
Total sieving time: 30.17 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 30.94 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 KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10161+419

c123

name 名前Sinkiti Sibata
date 日付October 28, 2010 07:02:25 UTC 2010 年 10 月 28 日 (木) 16 時 2 分 25 秒 (日本時間)
composite number 合成数
242911111456520873668258473722365405603323026240451335270897301383625075337868644363242890095231746876839169441455949022003<123>
prime factors 素因数
1890325514666635125942409217871204445755489773198256571<55>
128502265653097855621876062999502219459287736863059863877442336757993<69>
factorization results 素因数分解の結果
Number: 84449_161
N=242911111456520873668258473722365405603323026240451335270897301383625075337868644363242890095231746876839169441455949022003
  ( 123 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=1890325514666635125942409217871204445755489773198256571 (pp55)
 r2=128502265653097855621876062999502219459287736863059863877442336757993 (pp69)
Version: Msieve-1.40
Total time: 54.36 hours.
Scaled time: 152.19 units (timescale=2.800).
Factorization parameters were as follows:
name: 84449_161
n: 242911111456520873668258473722365405603323026240451335270897301383625075337868644363242890095231746876839169441455949022003
m: 100000000000000000000000000000000
deg: 5
c5: 760
c0: 41
skew: 0.56
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 4000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 747500 x 747748
Total sieving time: 52.95 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.23 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 54.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 19:16:18 UTC 2010 年 10 月 26 日 (火) 4 時 16 分 18 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 25, 2010 19:16:18 UTC 2010 年 10 月 26 日 (火) 4 時 16 分 18 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 25, 2010 19:16:18 UTC 2010 年 10 月 26 日 (火) 4 時 16 分 18 秒 (日本時間)

76×10162+419

c162

name 名前Sinkiti Sibata
date 日付October 28, 2010 03:32:05 UTC 2010 年 10 月 28 日 (木) 12 時 32 分 5 秒 (日本時間)
composite number 合成数
649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649573<162>
prime factors 素因数
1161797565772401106245981168936793173262139778809297982045768283<64>
559110010822575946591016038693756034293721999906077234490801531567590532139837041748336944937261631<99>
factorization results 素因数分解の結果
Number: 84449_162
N=649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649573
  ( 162 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=1161797565772401106245981168936793173262139778809297982045768283 (pp64)
 r2=559110010822575946591016038693756034293721999906077234490801531567590532139837041748336944937261631 (pp99)
Version: Msieve-1.40
Total time: 49.78 hours.
Scaled time: 137.00 units (timescale=2.752).
Factorization parameters were as follows:
name: 84449_162
n: 649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649573
m: 100000000000000000000000000000000
deg: 5
c5: 7600
c0: 41
skew: 0.35
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 765990 x 766238
Total sieving time: 48.15 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.32 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 49.78 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

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, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10163+419

c151

name 名前Sinkiti Sibata
date 日付October 28, 2010 03:28:45 UTC 2010 年 10 月 28 日 (木) 12 時 28 分 45 秒 (日本時間)
composite number 合成数
2596865849957807456988457135213275968014308338881033560576245054667622052865419813837236844255512918508939010374022682448407497078946709532504027221171<151>
prime factors 素因数
238510385646023736114902020154194483431083755217993009089653532850016973<72>
10887852295924122710666630240036743989943094031161475151603624061319767295827327<80>
factorization results 素因数分解の結果
Number: 84449_163
N=2596865849957807456988457135213275968014308338881033560576245054667622052865419813837236844255512918508939010374022682448407497078946709532504027221171
  ( 151 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=238510385646023736114902020154194483431083755217993009089653532850016973 (pp72)
 r2=10887852295924122710666630240036743989943094031161475151603624061319767295827327 (pp80)
Version: Msieve-1.40
Total time: 50.29 hours.
Scaled time: 162.03 units (timescale=3.222).
Factorization parameters were as follows:
name: 84449_163
n: 2596865849957807456988457135213275968014308338881033560576245054667622052865419813837236844255512918508939010374022682448407497078946709532504027221171
m: 200000000000000000000000000000000
deg: 5
c5: 2375
c0: 41
skew: 0.44
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 717786 x 718034
Total sieving time: 48.90 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.14 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 50.29 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

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, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10165+419

c120

name 名前Ignacio Santos
date 日付October 25, 2010 18:23:24 UTC 2010 年 10 月 26 日 (火) 3 時 23 分 24 秒 (日本時間)
composite number 合成数
258636077399896178325313300751452209828758937379000272154542605420273713882253324956249841869600787007750824022913726711<120>
prime factors 素因数
129917957083954969339277654066521259<36>
composite cofactor 合成数の残り
1990764657981510535166112704804158571223083158198977780842857533880879203836961817829<85>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3024219009
Step 1 took 58937ms
Step 2 took 31543ms
********** Factor found in step 2: 129917957083954969339277654066521259
Found probable prime factor of 36 digits: 129917957083954969339277654066521259
Composite cofactor 1990764657981510535166112704804158571223083158198977780842857533880879203836961817829 has 85 digits
software ソフトウェア
GMP-ECM 6.3

c85

name 名前Erik Branger
date 日付October 26, 2010 13:54:08 UTC 2010 年 10 月 26 日 (火) 22 時 54 分 8 秒 (日本時間)
composite number 合成数
1990764657981510535166112704804158571223083158198977780842857533880879203836961817829<85>
prime factors 素因数
2845760321236638028895846079202667423<37>
699554577075702124438276375243664199059807977723<48>
factorization results 素因数分解の結果
10/26/2010 15:47:56 v1.19.2 @ PULSE, starting SIQS on c85: 1990764657981510535166112704804158571223083158198977780842857533880879203836961817829
10/26/2010 15:47:56 v1.19.2 @ PULSE, random seeds: 0, 600323856
10/26/2010 15:47:56 v1.19.2 @ PULSE, ==== sieve params ====
10/26/2010 15:47:56 v1.19.2 @ PULSE, n = 85 digits, 283 bits
10/26/2010 15:47:56 v1.19.2 @ PULSE, factor base: 55137 primes (max prime = 1436801)
10/26/2010 15:47:56 v1.19.2 @ PULSE, single large prime cutoff: 136496095 (95 * pmax)
10/26/2010 15:47:56 v1.19.2 @ PULSE, double large prime range from 42 to 49 bits
10/26/2010 15:47:56 v1.19.2 @ PULSE, double large prime cutoff: 439760693034900
10/26/2010 15:47:56 v1.19.2 @ PULSE, allocating 22 large prime slices of factor base
10/26/2010 15:47:56 v1.19.2 @ PULSE, buckets hold 1024 elements
10/26/2010 15:47:56 v1.19.2 @ PULSE, sieve interval: 7 blocks of size 65536
10/26/2010 15:47:56 v1.19.2 @ PULSE, polynomial A has ~ 11 factors
10/26/2010 15:47:56 v1.19.2 @ PULSE, using multiplier of 5
10/26/2010 15:47:56 v1.19.2 @ PULSE, using small prime variation correction of 19 bits
10/26/2010 15:47:56 v1.19.2 @ PULSE, using SSE2 for trial division and x128 sieve scanning
10/26/2010 15:47:56 v1.19.2 @ PULSE, trial factoring cutoff at 93 bits
10/26/2010 15:47:56 v1.19.2 @ PULSE, ==== sieving started ( 4 threads) ====
10/26/2010 15:52:57 v1.19.2 @ PULSE, trial division touched 10144634 sieve locations out of 15598166212608
10/26/2010 15:52:57 v1.19.2 @ PULSE, 55645 relations found: 19654 full + 35991 from 467058 partial, using 17000652 polys (727 A polys)
10/26/2010 15:52:57 v1.19.2 @ PULSE, on average, sieving found 0.03 rels/poly and 1618.78 rels/sec
10/26/2010 15:52:57 v1.19.2 @ PULSE, trial division touched 10144634 sieve locations out of 15598166212608
10/26/2010 15:52:57 v1.19.2 @ PULSE, ==== post processing stage (msieve-1.38) ====
10/26/2010 15:52:57 v1.19.2 @ PULSE, begin with 486712 relations
10/26/2010 15:52:57 v1.19.2 @ PULSE, reduce to 109761 relations in 8 passes
10/26/2010 15:52:58 v1.19.2 @ PULSE, failed to read relation 47619
10/26/2010 15:52:59 v1.19.2 @ PULSE, failed to read relation 77354
10/26/2010 15:53:00 v1.19.2 @ PULSE, recovered 109759 relations
10/26/2010 15:53:00 v1.19.2 @ PULSE, recovered 82982 polynomials
10/26/2010 15:53:00 v1.19.2 @ PULSE, attempting to build 55643 cycles
10/26/2010 15:53:00 v1.19.2 @ PULSE, found 55643 cycles in 5 passes
10/26/2010 15:53:00 v1.19.2 @ PULSE, distribution of cycle lengths:
10/26/2010 15:53:00 v1.19.2 @ PULSE,    length 1 : 19654
10/26/2010 15:53:00 v1.19.2 @ PULSE,    length 2 : 16091
10/26/2010 15:53:00 v1.19.2 @ PULSE,    length 3 : 10093
10/26/2010 15:53:00 v1.19.2 @ PULSE,    length 4 : 5256
10/26/2010 15:53:00 v1.19.2 @ PULSE,    length 5 : 2543
10/26/2010 15:53:00 v1.19.2 @ PULSE,    length 6 : 1197
10/26/2010 15:53:00 v1.19.2 @ PULSE,    length 7 : 481
10/26/2010 15:53:00 v1.19.2 @ PULSE,    length 9+: 328
10/26/2010 15:53:00 v1.19.2 @ PULSE, largest cycle: 13 relations
10/26/2010 15:53:00 v1.19.2 @ PULSE, matrix is 55137 x 55643 (11.0 MB) with weight 2430822 (43.69/col)
10/26/2010 15:53:00 v1.19.2 @ PULSE, sparse part has weight 2430822 (43.69/col)
10/26/2010 15:53:00 v1.19.2 @ PULSE, filtering completed in 3 passes
10/26/2010 15:53:00 v1.19.2 @ PULSE, matrix is 46956 x 47020 (9.5 MB) with weight 2111885 (44.91/col)
10/26/2010 15:53:00 v1.19.2 @ PULSE, sparse part has weight 2111885 (44.91/col)
10/26/2010 15:53:00 v1.19.2 @ PULSE, saving the first 48 matrix rows for later
10/26/2010 15:53:00 v1.19.2 @ PULSE, matrix is 46908 x 47020 (8.3 MB) with weight 1821848 (38.75/col)
10/26/2010 15:53:00 v1.19.2 @ PULSE, sparse part has weight 1716359 (36.50/col)
10/26/2010 15:53:00 v1.19.2 @ PULSE, matrix includes 64 packed rows
10/26/2010 15:53:00 v1.19.2 @ PULSE, using block size 10922 for processor cache size 256 kB
10/26/2010 15:53:01 v1.19.2 @ PULSE, commencing Lanczos iteration
10/26/2010 15:53:01 v1.19.2 @ PULSE, memory use: 7.0 MB
10/26/2010 15:53:08 v1.19.2 @ PULSE, lanczos halted after 743 iterations (dim = 46905)
10/26/2010 15:53:08 v1.19.2 @ PULSE, recovered 15 nontrivial dependencies
10/26/2010 15:53:09 v1.19.2 @ PULSE, prp37 = 2845760321236638028895846079202667423
10/26/2010 15:53:09 v1.19.2 @ PULSE, prp48 = 699554577075702124438276375243664199059807977723
10/26/2010 15:53:09 v1.19.2 @ PULSE, Lanczos elapsed time = 11.6190 seconds.
10/26/2010 15:53:09 v1.19.2 @ PULSE, Sqrt elapsed time = 0.7020 seconds.
10/26/2010 15:53:09 v1.19.2 @ PULSE, SIQS elapsed time = 312.9863 seconds.
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10166+419

c134

name 名前Markus Tervooren
date 日付November 9, 2010 11:42:31 UTC 2010 年 11 月 9 日 (火) 20 時 42 分 31 秒 (日本時間)
composite number 合成数
84004756078390348306772410856462595174546064283251834876903487435931329427563178267270609921427745020612664815425303982365500185295869<134>
prime factors 素因数
642722147948630204452965788766001586850779<42>
130701511293033048270780769191158443437278877204921203674025230252259153036014329252443048711<93>
factorization results 素因数分解の結果
Msieve v. 1.47
Tue Nov  9 11:17:39 2010
random seeds: 0b5a26d3 c7fdbc6e
factoring 84004756078390348306772410856462595174546064283251834876903487435931329427563178267270609921427745020612664815425303982365500185295869 (134 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (134-digit input)
R0: -1000000000000000000000000000000000
R1:  1
A0:  41
A1:  0
A2:  0
A3:  0
A4:  0
A5:  760
skew 0.56, size 5.513e-12, alpha 1.258, combined = 2.357e-10 rroots = 1

commencing relation filtering
estimated available RAM is 8003.8 MB
commencing duplicate removal, pass 1
error -15 reading relation 804637
error -15 reading relation 1701121
error -15 reading relation 2604864
error -11 reading relation 3546213
error -5 reading relation 4378347
error -9 reading relation 7608181
error -5 reading relation 7611397
error -11 reading relation 7613485
error -11 reading relation 7926304
error -5 reading relation 8266696
error -11 reading relation 8623726
error -1 reading relation 8993237
error -11 reading relation 9325373
error -11 reading relation 9658827
read 10M relations
error -11 reading relation 10209314
error -5 reading relation 10777099
error -9 reading relation 10778534
read 20M relations
skipped 1 relations with b > 2^32
found 2744808 hash collisions in 24625544 relations
added 726715 free relations
commencing duplicate removal, pass 2
found 2061601 duplicates and 23290658 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 630.4 MB
keeping 21811402 ideals with weight <= 200, target excess is 125712
commencing in-memory singleton removal
begin with 23290658 relations and 21811402 unique ideals
reduce to 12727578 relations and 9344480 ideals in 12 passes
max relations containing the same ideal: 139
removing 1943863 relations and 1543863 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10783715 relations and 9344480 unique ideals
reduce to 10637285 relations and 7648967 ideals in 7 passes
max relations containing the same ideal: 121
removing 1419160 relations and 1019160 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9218125 relations and 7648967 unique ideals
reduce to 9121363 relations and 6529647 ideals in 7 passes
max relations containing the same ideal: 113
removing 1263548 relations and 863548 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7857815 relations and 6529647 unique ideals
reduce to 7771530 relations and 5576548 ideals in 7 passes
max relations containing the same ideal: 101
removing 1162382 relations and 762382 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 6609148 relations and 5576548 unique ideals
reduce to 6526879 relations and 4728551 ideals in 7 passes
max relations containing the same ideal: 92
removing 1085382 relations and 685382 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 5441497 relations and 4728551 unique ideals
reduce to 5340020 relations and 3936298 ideals in 6 passes
max relations containing the same ideal: 73
removing 1026884 relations and 626884 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4313136 relations and 3936298 unique ideals
reduce to 4190793 relations and 3178384 ideals in 6 passes
max relations containing the same ideal: 64
removing 1002727 relations and 602727 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3188066 relations and 3178384 unique ideals
reduce to 3046677 relations and 2421723 ideals in 6 passes
max relations containing the same ideal: 51
removing 981945 relations and 581945 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 2064732 relations and 2421723 unique ideals
reduce to 1887752 relations and 1640842 ideals in 9 passes
max relations containing the same ideal: 38
removing 348626 relations and 247542 ideals in 101084 cliques
commencing in-memory singleton removal
begin with 1539126 relations and 1640842 unique ideals
reduce to 1499214 relations and 1351434 ideals in 7 passes
max relations containing the same ideal: 34
relations with 0 large ideals: 4841
relations with 1 large ideals: 25021
relations with 2 large ideals: 120618
relations with 3 large ideals: 302162
relations with 4 large ideals: 423369
relations with 5 large ideals: 348882
relations with 6 large ideals: 194612
relations with 7+ large ideals: 79709
commencing 2-way merge
reduce to 1013020 relation sets and 865240 unique ideals
commencing full merge
memory use: 94.1 MB
found 517048 cycles, need 495440
weight of 495440 cycles is about 35007395 (70.66/cycle)
distribution of cycle lengths:
1 relations: 37214
2 relations: 49745
3 relations: 59439
4 relations: 60886
5 relations: 57979
6 relations: 51435
7 relations: 44580
8 relations: 36054
9 relations: 28692
10+ relations: 69416
heaviest cycle: 17 relations
commencing cycle optimization
start with 2809686 relations
pruned 93970 relations
memory use: 88.9 MB
distribution of cycle lengths:
1 relations: 37214
2 relations: 51002
3 relations: 62065
4 relations: 63464
5 relations: 60776
6 relations: 53119
7 relations: 45684
8 relations: 36011
9 relations: 28065
10+ relations: 58040
heaviest cycle: 17 relations
RelProcTime: 871

commencing linear algebra
read 495440 cycles
cycles contain 1418049 unique relations
read 1418049 relations
using 20 quadratic characters above 268430412
building initial matrix
memory use: 181.8 MB
read 495440 cycles
matrix is 495261 x 495440 (148.2 MB) with weight 44115158 (89.04/col)
sparse part has weight 33412250 (67.44/col)
filtering completed in 2 passes
matrix is 494835 x 495013 (148.2 MB) with weight 44095907 (89.08/col)
sparse part has weight 33402185 (67.48/col)
matrix starts at (0, 0)
matrix is 494835 x 495013 (148.2 MB) with weight 44095907 (89.08/col)
sparse part has weight 33402185 (67.48/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 494787 x 495013 (140.0 MB) with weight 34695603 (70.09/col)
sparse part has weight 31737764 (64.12/col)
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 120.9 MB
linear algebra at 2.5%, ETA 0h17m 495013 dimensions (2.5%, ETA 0h17m)    
linear algebra completed 493766 of 495013 dimensions (99.7%, ETA 0h 0m)    
lanczos halted after 7826 iterations (dim = 494785)
recovered 38 nontrivial dependencies
BLanczosTime: 1204

commencing square root phase
reading relations for dependency 1
read 246911 cycles
cycles contain 707848 unique relations
read 707848 relations
multiplying 707848 relations
multiply complete, coefficients have about 22.36 million bits
initial square root is modulo 2643661
sqrtTime: 342
prp42 factor: 642722147948630204452965788766001586850779
prp93 factor: 130701511293033048270780769191158443437278877204921203674025230252259153036014329252443048711
elapsed time 00:40:18

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 21:18:46 UTC 2010 年 10 月 26 日 (火) 6 時 18 分 46 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 25, 2010 21:18:46 UTC 2010 年 10 月 26 日 (火) 6 時 18 分 46 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 25, 2010 21:18:46 UTC 2010 年 10 月 26 日 (火) 6 時 18 分 46 秒 (日本時間)

76×10167+419

c120

name 名前Lionel Debroux
date 日付October 26, 2010 06:38:09 UTC 2010 年 10 月 26 日 (火) 15 時 38 分 9 秒 (日本時間)
composite number 合成数
446089111791929253697239308709564941176018200303663389250124816761865557601391433563612183572289923124893142389751972543<120>
prime factors 素因数
107282696456536939575338216361749303<36>
4158071399451185142253058046546729099825879952050152096044949441935545593367651793081<85>
factorization results 素因数分解の結果
echo 446089111791929253697239308709564941176018200303663389250124816761865557601391433563612183572289923124893142389751972543 | ecm -c 300 11e6
GMP-ECM 6.2.3 [powered by GMP 4.3.2] [ECM]
Input number is 446089111791929253697239308709564941176018200303663389250124816761865557601391433563612183572289923124893142389751972543 (120 digits)
Run 169 out of 300:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=155963019
Step 1 took 50766ms
Step 2 took 21219ms
********** Factor found in step 2: 107282696456536939575338216361749303
Found probable prime factor of 36 digits: 107282696456536939575338216361749303
Probable prime cofactor 4158071399451185142253058046546729099825879952050152096044949441935545593367651793081 has 85 digits
software ソフトウェア
GMP-ECM 6.2.3
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM, 64-bit SimplyMEPIS 8.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
403e6300 / 2318Lionel DebrouxOctober 25, 2010 19:43:57 UTC 2010 年 10 月 26 日 (火) 4 時 43 分 57 秒 (日本時間)

76×10168+419

c168

name 名前Robert Backstrom
date 日付October 28, 2010 00:32:41 UTC 2010 年 10 月 28 日 (木) 9 時 32 分 41 秒 (日本時間)
composite number 合成数
649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649573<168>
prime factors 素因数
10496783735150608293223619110627704734323327419053373001<56>
61883017309142406279471188245392259036631242147438224293744947475344240876803732254696491199521341483211829920573<113>
factorization results 素因数分解の結果
Number: n
N=649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649573
  ( 168 digits)
SNFS difficulty: 169 digits.
Divisors found:

Thu Oct 28 11:11:13 2010  prp56 factor: 10496783735150608293223619110627704734323327419053373001
Thu Oct 28 11:11:13 2010  prp113 factor: 61883017309142406279471188245392259036631242147438224293744947475344240876803732254696491199521341483211829920573
Thu Oct 28 11:11:13 2010  elapsed time 00:38:13 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_8_4_167_9
n: 649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649572649573
m: 2000000000000000000000000000000000
deg: 5
c5: 2375
c0: 41
skew: 0.44
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 3050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2940895 hash collisions in 20000000 relations
Msieve: matrix is 654608 x 654840 (183.0 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,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,56,56,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830498)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Total of 4 processors activated (22643.70 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
403e62318300Serge BatalovOctober 26, 2010 01:23:59 UTC 2010 年 10 月 26 日 (火) 10 時 23 分 59 秒 (日本時間)
2018Serge BatalovOctober 26, 2010 04:14:24 UTC 2010 年 10 月 26 日 (火) 13 時 14 分 24 秒 (日本時間)

76×10169+419

c165

name 名前Serge Batalov
date 日付October 25, 2010 19:35:39 UTC 2010 年 10 月 26 日 (火) 4 時 35 分 39 秒 (日本時間)
composite number 合成数
386669861780787697386060856748482956762677810899104096105776593346938007154409995212416579793141799469957023679967601135791841367671652164002969217517569311844664541<165>
prime factors 素因数
1170068391545064434641021178714315034203<40>
composite cofactor 合成数の残り
330467744086474927505731355570828076377891447890905728483476319850156585428382681115216409231081611661492962400572599969419047<126>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1547740934
Step 1 took 5200ms
Step 2 took 2743ms
********** Factor found in step 2: 1170068391545064434641021178714315034203
Found probable prime factor of 40 digits: 1170068391545064434641021178714315034203
Composite cofactor has 126 digits

c126

name 名前K, Maemondo
date 日付November 28, 2010 11:47:26 UTC 2010 年 11 月 28 日 (日) 20 時 47 分 26 秒 (日本時間)
composite number 合成数
330467744086474927505731355570828076377891447890905728483476319850156585428382681115216409231081611661492962400572599969419047<126>
prime factors 素因数
44233927359895298497025374280090296053656568939471212229859931<62>
7470911217033231189416700373302682631675217636463874613203353637<64>
factorization results 素因数分解の結果
Number: 84449_169
N=330467744086474927505731355570828076377891447890905728483476319850156585428382681115216409231081611661492962400572599969419047
  ( 126 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=44233927359895298497025374280090296053656568939471212229859931 (pp62)
 r2=7470911217033231189416700373302682631675217636463874613203353637 (pp64)
Version: Msieve-1.40
Total time: 132.38 hours.
Scaled time: 172.89 units (timescale=1.306).
Factorization parameters were as follows:
n: 330467744086474927505731355570828076377891447890905728483476319850156585428382681115216409231081611661492962400572599969419047
m: 2000000000000000000000000000000000
deg: 5
c5: 23750
c0: 41
skew: 0.28
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1112747 x 1112976
Total sieving time: 130.74 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.36 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 132.38 hours.
 --------- CPU info (if available) ----------
[    0.078567] CPU0: Intel(R) Core(TM) i7 CPU         860  @ 2.80GHz stepping 05
[    0.000000] Memory: 4111276k/4718592k available (5087k kernel code, 80972k reserved, 2438k data, 704k init, 3279304k highmem)
[    0.000003] Calibrating delay loop (skipped), value calculated using timer frequency.. 5617.82 BogoMIPS (lpj=11235644)
[    0.939159] Total of 8 processors activated (44937.68 BogoMIPS).
execution environment 実行環境
Ubuntu 10.10 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 27, 2010 05:31:43 UTC 2010 年 10 月 27 日 (水) 14 時 31 分 43 秒 (日本時間)
403e6860110Ignacio SantosOctober 27, 2010 05:31:43 UTC 2010 年 10 月 27 日 (水) 14 時 31 分 43 秒 (日本時間)
750Ignacio SantosNovember 21, 2010 00:24:47 UTC 2010 年 11 月 21 日 (日) 9 時 24 分 47 秒 (日本時間)
4511e6246 / 406832Ignacio SantosOctober 27, 2010 05:31:43 UTC 2010 年 10 月 27 日 (水) 14 時 31 分 43 秒 (日本時間)
214Ignacio SantosNovember 21, 2010 00:24:47 UTC 2010 年 11 月 21 日 (日) 9 時 24 分 47 秒 (日本時間)
5043e658 / 7463Ignacio SantosNovember 21, 2010 00:24:47 UTC 2010 年 11 月 21 日 (日) 9 時 24 分 47 秒 (日本時間)

76×10170+419

c131

name 名前Sinkiti Sibata
date 日付April 2, 2011 13:20:26 UTC 2011 年 4 月 2 日 (土) 22 時 20 分 26 秒 (日本時間)
composite number 合成数
70190532449097310499567677792635569376411170954484595549440326935354595946499131147904557894524761894128616333783874258160923977513<131>
prime factors 素因数
3110206531212755055494750701330991253357963445883<49>
22567804338616732213115720990260709782883314682740314387334099748069448083565021611<83>
factorization results 素因数分解の結果
Number: 84449_170
N=70190532449097310499567677792635569376411170954484595549440326935354595946499131147904557894524761894128616333783874258160923977513
  ( 131 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=3110206531212755055494750701330991253357963445883 (pp49)
 r2=22567804338616732213115720990260709782883314682740314387334099748069448083565021611 (pp83)
Version: Msieve-1.40
Total time: 100.23 hours.
Scaled time: 213.49 units (timescale=2.130).
Factorization parameters were as follows:
name: 84449_170
n: 70190532449097310499567677792635569376411170954484595549440326935354595946499131147904557894524761894128616333783874258160923977513
m: 10000000000000000000000000000000000
deg: 5
c5: 76
c0: 41
skew: 0.88
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1031754 x 1032002
Total sieving time: 97.26 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.67 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 100.23 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 KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 20:06:08 UTC 2010 年 10 月 26 日 (火) 5 時 6 分 8 秒 (日本時間)
403e6860110Ignacio SantosOctober 25, 2010 20:06:08 UTC 2010 年 10 月 26 日 (火) 5 時 6 分 8 秒 (日本時間)
750Ignacio SantosNovember 28, 2010 10:10:03 UTC 2010 年 11 月 28 日 (日) 19 時 10 分 3 秒 (日本時間)
4511e6246 / 406832Ignacio SantosOctober 25, 2010 20:06:08 UTC 2010 年 10 月 26 日 (火) 5 時 6 分 8 秒 (日本時間)
214Ignacio SantosNovember 28, 2010 10:10:03 UTC 2010 年 11 月 28 日 (日) 19 時 10 分 3 秒 (日本時間)
5043e658 / 7463Ignacio SantosNovember 28, 2010 10:10:03 UTC 2010 年 11 月 28 日 (日) 19 時 10 分 3 秒 (日本時間)

76×10171+419

c112

name 名前Dmitry Domanov
date 日付October 27, 2010 18:42:27 UTC 2010 年 10 月 28 日 (木) 3 時 42 分 27 秒 (日本時間)
composite number 合成数
1289594084067799051853958700424286324431768315245669388837888567823484402295943776402454600274475224743575125109<112>
prime factors 素因数
4267491522980248563327648354273153938886164419<46>
302190192323380918008361260677092855825439656859666393975431153511<66>
factorization results 素因数分解の結果
Number: cc112
N=1289594084067799051853958700424286324431768315245669388837888567823484402295943776402454600274475224743575125109
  ( 112 digits)
Divisors found:
 r1=4267491522980248563327648354273153938886164419 (pp46)
 r2=302190192323380918008361260677092855825439656859666393975431153511 (pp66)
Version: Msieve-1.40
Total time: 15.32 hours.
Scaled time: 29.97 units (timescale=1.957).
Factorization parameters were as follows:
name: cc112
n: 1289594084067799051853958700424286324431768315245669388837888567823484402295943776402454600274475224743575125109
skew: 20994.73
# norm 3.67e+015
c5: 67320
c4: -7988000472
c3: -222472404734116
c2: 3322391014185123523
c1: 32611373086582711683006
c0: 25398829080589717719838584
# alpha -6.35
Y1: 94671706933
Y0: -1804938154486482146351
# Murphy_E 8.48e-010
# M 12357869401842462999662995516358596013685021196672892242840842952195637704313921560544785241771712977159012081
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 401140 x 401372
Total sieving time: 14.99 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 15.32 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 KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10172+419

c105

name 名前Dmitry Domanov
date 日付October 27, 2010 04:46:55 UTC 2010 年 10 月 27 日 (水) 13 時 46 分 55 秒 (日本時間)
composite number 合成数
107163607966098264784974426196581902003499310767492927496585195325632112263534554245445660329407691993281<105>
prime factors 素因数
5125345206476866408565837923412257841<37>
20908563940371526458009328433032339034870336761755859191637763389841<68>
factorization results 素因数分解の結果
Number: cc105
N=107163607966098264784974426196581902003499310767492927496585195325632112263534554245445660329407691993281
  ( 105 digits)
Divisors found:
 r1=5125345206476866408565837923412257841 (pp37)
 r2=20908563940371526458009328433032339034870336761755859191637763389841 (pp68)
Version: Msieve-1.40
Total time: 6.40 hours.
Scaled time: 12.41 units (timescale=1.939).
Factorization parameters were as follows:
name: cc105
n: 107163607966098264784974426196581902003499310767492927496585195325632112263534554245445660329407691993281
skew: 7181.42
# norm 1.22e+014
c5: 31320
c4: 7649310
c3: -13235230114153
c2: -5224325020205620
c1: 147481612038328418316
c0: 132775645982250351237920
# alpha -4.81
Y1: 128489355533
Y0: -80694712946494257277
# Murphy_E 2.02e-009
# M 11344020836072174346393419285926357037977399605125861830715750556621055615951940806628387316606717994776
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 230932 x 231157
Total sieving time: 6.26 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 6.40 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 KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10176+419

c151

name 名前Warut Roonguthai
date 日付March 22, 2012 20:40:53 UTC 2012 年 3 月 23 日 (金) 5 時 40 分 53 秒 (日本時間)
composite number 合成数
8653369278048520283400236159266125191801982772711948209565549550910294719923944131979894023961666826678440021716233682357570585155894651627820788575463<151>
prime factors 素因数
1268824342008059352427944708505573856827103123752984501401807665548792211<73>
6819989963585956787018081289525753679772738044985388795164017982950156533357533<79>
factorization results 素因数分解の結果
N = 8653369278048520283400236159266125191801982772711948209565549550910294719923944131979894023961666826678440021716233682357570585155894651627820788575463 (151 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=1268824342008059352427944708505573856827103123752984501401807665548792211 (pp73)
r2=6819989963585956787018081289525753679772738044985388795164017982950156533357533 (pp79)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 30.57 hours.
Factorization parameters were as follows:
name: (76*10^176+41)/9
n: 8653369278048520283400236159266125191801982772711948209565549550910294719923944131979894023961666826678440021716233682357570585155894651627820788575463
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 41
c1: 0
c2: 0
c3: 0
c4: 0
c5: 760
skew: 0.56
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21543755
Relations: 2950930 relations
Pruned matrix : 1675673 x 1675905
Polynomial selection time: 0.00 hours.
Total sieving time: 27.80 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.58 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 30.57 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 06:06:59 UTC 2010 年 11 月 2 日 (火) 15 時 6 分 59 秒 (日本時間)
403e6110Ignacio SantosNovember 2, 2010 06:06:59 UTC 2010 年 11 月 2 日 (火) 15 時 6 分 59 秒 (日本時間)
4511e6503232Ignacio SantosNovember 2, 2010 06:06:59 UTC 2010 年 11 月 2 日 (火) 15 時 6 分 59 秒 (日本時間)
1000Serge BatalovOctober 30, 2011 05:23:06 UTC 2011 年 10 月 30 日 (日) 14 時 23 分 6 秒 (日本時間)
4000Wataru SakaiNovember 5, 2011 02:22:01 UTC 2011 年 11 月 5 日 (土) 11 時 22 分 1 秒 (日本時間)
5043e60--
5511e72675 / 17453yoyo@homeMay 25, 2012 19:25:06 UTC 2012 年 5 月 26 日 (土) 4 時 25 分 6 秒 (日本時間)

76×10177+419

c114

name 名前Dmitry Domanov
date 日付October 27, 2010 18:43:14 UTC 2010 年 10 月 28 日 (木) 3 時 43 分 14 秒 (日本時間)
composite number 合成数
296896819353052550968507129291172813226760313013926108665096377842197725004803128120529056908873787046769297447141<114>
prime factors 素因数
814785928775039867484219648060939556965583003847<48>
364386287082069796516359247217269510893626350965411055040744514803<66>
factorization results 素因数分解の結果
Number: cc114
N=296896819353052550968507129291172813226760313013926108665096377842197725004803128120529056908873787046769297447141
  ( 114 digits)
Divisors found:
 r1=814785928775039867484219648060939556965583003847 (pp48)
 r2=364386287082069796516359247217269510893626350965411055040744514803 (pp66)
Version: Msieve-1.40
Total time: 20.06 hours.
Scaled time: 38.00 units (timescale=1.894).
Factorization parameters were as follows:
name: cc114
n: 296896819353052550968507129291172813226760313013926108665096377842197725004803128120529056908873787046769297447141
skew: 18829.01
# norm 3.79e+015
c5: 57960
c4: 1120221318
c3: -235035920961038
c2: -490833676309995593
c1: 16977652173335621741838
c0: 66219500446980413967055215
# alpha -5.38
Y1: 2498697071819
Y0: -5519435642066074846922
# Murphy_E 6.40e-010
# M 101694648270059808116527492902684921708384681606411837264168023625461490145907677463457366779446621489562453364169
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 540459 x 540707
Total sieving time: 19.54 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 20.06 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 KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10179+419

c174

name 名前Ignacio Santos
date 日付November 1, 2010 17:55:52 UTC 2010 年 11 月 2 日 (火) 2 時 55 分 52 秒 (日本時間)
composite number 合成数
399106568438137930494855910187998623922563243030745962209964399168955096467471002938527138170116339039559495577610394583535709246243658866181300565423728030299330451468825077<174>
prime factors 素因数
1340212151525023523055153613209527165249668485346053491021<58>
297793575430573228983584793600316520700046135040171919456797425946331793468587636789672045756159567500565847786731337<117>
factorization results 素因数分解の結果
Number: 5
N=399106568438137930494855910187998623922563243030745962209964399168955096467471002938527138170116339039559495577610394583535709246243658866181300565423728030299330451468825077
  ( 174 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=1340212151525023523055153613209527165249668485346053491021 (pp58)
 r2=297793575430573228983584793600316520700046135040171919456797425946331793468587636789672045756159567500565847786731337 (pp117)
Version: Msieve-1.40
Total time: 208.99 hours.
Scaled time: 363.44 units (timescale=1.739).
Factorization parameters were as follows:
n: 399106568438137930494855910187998623922563243030745962209964399168955096467471002938527138170116339039559495577610394583535709246243658866181300565423728030299330451468825077
m: 200000000000000000000000000000000000
deg: 5
c5: 23750
c0: 41
skew: 0.28
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 7200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1507413 x 1507638
Total sieving time: 204.80 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.25 hours.
Time per square root: 0.74 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 208.99 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
351e6118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
403e62318300Serge BatalovOctober 26, 2010 01:24:09 UTC 2010 年 10 月 26 日 (火) 10 時 24 分 9 秒 (日本時間)
2018Serge BatalovOctober 26, 2010 04:14:35 UTC 2010 年 10 月 26 日 (火) 13 時 14 分 35 秒 (日本時間)

76×10180+419

c174

name 名前Ignacio Santos
date 日付November 1, 2010 17:58:35 UTC 2010 年 11 月 2 日 (火) 2 時 58 分 35 秒 (日本時間)
composite number 合成数
833273661071486207495382101529549457373836529316085928100916369684096416297205734093756948172932922972369160712844127357502501657474506951700640823626983466787044011135562211<174>
prime factors 素因数
7312621130831120676982594675288536703964252304576149489025685067230766940018402913<82>
113950066079353949988285260553853625445481081748086473617646416055007920068301519681008318147<93>
factorization results 素因数分解の結果
Number: 6
N=833273661071486207495382101529549457373836529316085928100916369684096416297205734093756948172932922972369160712844127357502501657474506951700640823626983466787044011135562211
  ( 174 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=7312621130831120676982594675288536703964252304576149489025685067230766940018402913 (pp82)
 r2=113950066079353949988285260553853625445481081748086473617646416055007920068301519681008318147 (pp93)
Version: Msieve-1.40
Total time: 185.22 hours.
Scaled time: 322.10 units (timescale=1.739).
Factorization parameters were as follows:
n: 833273661071486207495382101529549457373836529316085928100916369684096416297205734093756948172932922972369160712844127357502501657474506951700640823626983466787044011135562211
m: 1000000000000000000000000000000000000
deg: 5
c5: 76
c0: 41
skew: 0.88
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 6850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1491594 x 1491818
Total sieving time: 181.30 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.16 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 185.22 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
351e6118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
403e62318300Serge BatalovOctober 26, 2010 01:24:16 UTC 2010 年 10 月 26 日 (火) 10 時 24 分 16 秒 (日本時間)
2018Serge BatalovOctober 26, 2010 04:14:43 UTC 2010 年 10 月 26 日 (火) 13 時 14 分 43 秒 (日本時間)

76×10181+419

c165

name 名前Serge Batalov
date 日付October 25, 2010 22:43:37 UTC 2010 年 10 月 26 日 (火) 7 時 43 分 37 秒 (日本時間)
composite number 合成数
212329857721046096332170424384740721221845456964085973108337063701203259203401855361033786271005941045036919006396272023694983112440355735574672898862148241250958469<165>
prime factors 素因数
53214479356153106009559711895441585241<38>
composite cofactor 合成数の残り
3990076766512509926521299623544061143933724903906431305516372156833812631653424539610832701578233963257963932061624549355959309<127>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=868696195
Step 1 took 5182ms
Step 2 took 2747ms
********** Factor found in step 2: 53214479356153106009559711895441585241
Found probable prime factor of 38 digits: 53214479356153106009559711895441585241
Composite cofactor 3990076766512509926521299623544061143933724903906431305516372156833812631653424539610832701578233963257963932061624549355959309 has 127 digits

c127

name 名前Erik Branger
date 日付October 26, 2010 14:41:11 UTC 2010 年 10 月 26 日 (火) 23 時 41 分 11 秒 (日本時間)
composite number 合成数
3990076766512509926521299623544061143933724903906431305516372156833812631653424539610832701578233963257963932061624549355959309<127>
prime factors 素因数
79250263888652150832102121824344683<35>
26440814607621142387074166591011406559<38>
1904169932543996305935973871091339387885871289680831097<55>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 
3990076766512509926521299623544061143933724903906431305516372156833812631653424539610832701578233963257963932061624549355959309 (127 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2500292919
Step 1 took 14991ms
********** Factor found in step 1: 79250263888652150832102121824344683
Found probable prime factor of 35 digits: 79250263888652150832102121824344683
Composite cofactor 50347804167802262853441171378113682788075942647776755042111137302471753335643430818076965223 has 92 
digits

Number: 84449_181
N = 50347804167802262853441171378113682788075942647776755042111137302471753335643430818076965223 (92 digits)
Divisors found:
r1=26440814607621142387074166591011406559 (pp38)
r2=1904169932543996305935973871091339387885871289680831097 (pp55)
Version: Msieve v. 1.47
Total time: 1.19 hours.
Factorization parameters were as follows:
n: 50347804167802262853441171378113682788075942647776755042111137302471753335643430818076965223
Y0: -18350361524708760925029
Y1: 667671871057
c0: 164334734528339520747206614
c1: -383163943373541876919
c2: -391618666168756
c3: 535719004
c4: 444
skew: 989283.97 
type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [350000, 710000)
Relations: 1808150
Relations in full relation-set: 149436 relations
Pruned matrix : 92063 x 92289
Polynomial selection time: 0.16 hours.
Total sieving time: 1.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,91,4,58,2000,0.00025,0.3,220,15,10000,600,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 1.19 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM, 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 KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10182+419

c157

name 名前Dmitry Domanov
date 日付November 27, 2012 06:49:22 UTC 2012 年 11 月 27 日 (火) 15 時 49 分 22 秒 (日本時間)
composite number 合成数
3314187587145315395918569804123993132191901244716432779503194001854080682270659429410661156671684003540804882236927829778217836589664881420636750350313062143<157>
prime factors 素因数
107950915379666791326601357005653114911<39>
30700875258808251838241471353818036570562211090663095649503609302729661784405522691930152580118629506685551564166145313<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1285576595
Step 1 took 27551ms
Step 2 took 9903ms
********** Factor found in step 2: 107950915379666791326601357005653114911
Found probable prime factor of 39 digits: 107950915379666791326601357005653114911

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 11:58:59 UTC 2010 年 11 月 2 日 (火) 20 時 58 分 59 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 2, 2010 11:58:59 UTC 2010 年 11 月 2 日 (火) 20 時 58 分 59 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 2, 2010 11:58:59 UTC 2010 年 11 月 2 日 (火) 20 時 58 分 59 秒 (日本時間)

76×10185+419

c120

name 名前Robert Backstrom
date 日付October 26, 2010 21:33:37 UTC 2010 年 10 月 27 日 (水) 6 時 33 分 37 秒 (日本時間)
composite number 合成数
119207343174979188536115947133199947153497744557319732563898659308606206820529112902531007249728595934942622650590344549<120>
prime factors 素因数
64991613842758152589149204584090849745694917329978919571049<59>
1834195769678708392648372177503150661058726052409053275801501<61>
factorization results 素因数分解の結果
Oversieving: lanczos error: only trivial dependencies found
Cutting relations down to 20,000,000 -> solution at dependency 4

Wed Oct 27 03:57:03 2010  
Wed Oct 27 03:57:03 2010  
Wed Oct 27 03:57:03 2010  Msieve v. 1.44
Wed Oct 27 03:57:03 2010  random seeds: 511598e4 adcd8132
Wed Oct 27 03:57:03 2010  factoring 119207343174979188536115947133199947153497744557319732563898659308606206820529112902531007249728595934942622650590344549 (120 digits)
Wed Oct 27 03:57:04 2010  no P-1/P+1/ECM available, skipping
Wed Oct 27 03:57:04 2010  commencing number field sieve (120-digit input)
Wed Oct 27 03:57:04 2010  R0: -136452419088159038229189
Wed Oct 27 03:57:04 2010  R1:  5042755569857
Wed Oct 27 03:57:04 2010  A0: -73833711566959665566451431680
Wed Oct 27 03:57:04 2010  A1: -847491759035990763070064
Wed Oct 27 03:57:04 2010  A2:  17669455296829002382
Wed Oct 27 03:57:04 2010  A3:  229280423613245
Wed Oct 27 03:57:04 2010  A4: -585528618
Wed Oct 27 03:57:04 2010  A5:  2520
Wed Oct 27 03:57:04 2010  skew 1.00, size 2.311284e-11, alpha -6.464029, combined = 8.264576e-12
Wed Oct 27 03:57:04 2010  
Wed Oct 27 03:57:04 2010  commencing relation filtering
Wed Oct 27 03:57:04 2010  estimated available RAM is 3926.0 MB
Wed Oct 27 03:57:04 2010  commencing duplicate removal, pass 1
Wed Oct 27 04:00:30 2010  found 4639113 hash collisions in 31235358 relations
Wed Oct 27 04:00:50 2010  added 63728 free relations
Wed Oct 27 04:00:50 2010  commencing duplicate removal, pass 2
Wed Oct 27 04:01:05 2010  found 3837646 duplicates and 27461440 unique relations
Wed Oct 27 04:01:05 2010  memory use: 165.2 MB
Wed Oct 27 04:01:05 2010  reading ideals above 11468800
Wed Oct 27 04:01:08 2010  commencing singleton removal, initial pass
Wed Oct 27 04:04:30 2010  memory use: 344.5 MB
Wed Oct 27 04:04:30 2010  reading all ideals from disk
Wed Oct 27 04:04:30 2010  memory use: 430.4 MB
Wed Oct 27 04:04:33 2010  commencing in-memory singleton removal
Wed Oct 27 04:04:35 2010  begin with 27461440 relations and 12839779 unique ideals
Wed Oct 27 04:04:54 2010  reduce to 25302225 relations and 10622071 ideals in 7 passes
Wed Oct 27 04:04:54 2010  max relations containing the same ideal: 107
Wed Oct 27 04:04:57 2010  reading ideals above 720000
Wed Oct 27 04:04:57 2010  commencing singleton removal, initial pass
Wed Oct 27 04:08:37 2010  memory use: 344.5 MB
Wed Oct 27 04:08:38 2010  reading all ideals from disk
Wed Oct 27 04:08:44 2010  memory use: 728.9 MB
Wed Oct 27 04:08:49 2010  keeping 11985642 ideals with weight <= 200, target excess is 146593
Wed Oct 27 04:08:53 2010  commencing in-memory singleton removal
Wed Oct 27 04:08:58 2010  begin with 25302228 relations and 11985642 unique ideals
Wed Oct 27 04:09:06 2010  reduce to 25302224 relations and 11985634 ideals in 2 passes
Wed Oct 27 04:09:06 2010  max relations containing the same ideal: 200
Wed Oct 27 04:09:20 2010  removing 1146225 relations and 746225 ideals in 400000 cliques
Wed Oct 27 04:09:21 2010  commencing in-memory singleton removal
Wed Oct 27 04:09:25 2010  begin with 24155999 relations and 11985634 unique ideals
Wed Oct 27 04:09:42 2010  reduce to 24130827 relations and 11213787 ideals in 4 passes
Wed Oct 27 04:09:42 2010  max relations containing the same ideal: 199
Wed Oct 27 04:09:55 2010  removing 872589 relations and 472589 ideals in 400000 cliques
Wed Oct 27 04:09:56 2010  commencing in-memory singleton removal
Wed Oct 27 04:10:00 2010  begin with 23258238 relations and 11213787 unique ideals
Wed Oct 27 04:10:16 2010  reduce to 23234341 relations and 10716799 ideals in 4 passes
Wed Oct 27 04:10:16 2010  max relations containing the same ideal: 195
Wed Oct 27 04:10:28 2010  removing 845662 relations and 445662 ideals in 400000 cliques
Wed Oct 27 04:10:29 2010  commencing in-memory singleton removal
Wed Oct 27 04:10:33 2010  begin with 22388679 relations and 10716799 unique ideals
Wed Oct 27 04:10:48 2010  reduce to 22368486 relations and 10250482 ideals in 4 passes
Wed Oct 27 04:10:48 2010  max relations containing the same ideal: 191
Wed Oct 27 04:11:00 2010  removing 822528 relations and 422528 ideals in 400000 cliques
Wed Oct 27 04:11:01 2010  commencing in-memory singleton removal
Wed Oct 27 04:11:05 2010  begin with 21545958 relations and 10250482 unique ideals
Wed Oct 27 04:11:19 2010  reduce to 21529892 relations and 9811508 ideals in 4 passes
Wed Oct 27 04:11:19 2010  max relations containing the same ideal: 187
Wed Oct 27 04:11:31 2010  removing 807540 relations and 407540 ideals in 400000 cliques
Wed Oct 27 04:11:32 2010  commencing in-memory singleton removal
Wed Oct 27 04:11:35 2010  begin with 20722352 relations and 9811508 unique ideals
Wed Oct 27 04:11:45 2010  reduce to 20714349 relations and 9395784 ideals in 3 passes
Wed Oct 27 04:11:45 2010  max relations containing the same ideal: 183
Wed Oct 27 04:11:57 2010  removing 804181 relations and 404181 ideals in 400000 cliques
Wed Oct 27 04:11:57 2010  commencing in-memory singleton removal
Wed Oct 27 04:12:00 2010  begin with 19910168 relations and 9395784 unique ideals
Wed Oct 27 04:12:14 2010  reduce to 19905835 relations and 8987178 ideals in 4 passes
Wed Oct 27 04:12:14 2010  max relations containing the same ideal: 178
Wed Oct 27 04:12:24 2010  removing 801665 relations and 401665 ideals in 400000 cliques
Wed Oct 27 04:12:25 2010  commencing in-memory singleton removal
Wed Oct 27 04:12:28 2010  begin with 19104170 relations and 8987178 unique ideals
Wed Oct 27 04:12:37 2010  reduce to 19102975 relations and 8584303 ideals in 3 passes
Wed Oct 27 04:12:37 2010  max relations containing the same ideal: 174
Wed Oct 27 04:12:47 2010  removing 800563 relations and 400563 ideals in 400000 cliques
Wed Oct 27 04:12:48 2010  commencing in-memory singleton removal
Wed Oct 27 04:12:51 2010  begin with 18302412 relations and 8584303 unique ideals
Wed Oct 27 04:12:57 2010  reduce to 18302044 relations and 8183370 ideals in 2 passes
Wed Oct 27 04:12:57 2010  max relations containing the same ideal: 166
Wed Oct 27 04:13:05 2010  removing 800171 relations and 400171 ideals in 400000 cliques
Wed Oct 27 04:13:06 2010  commencing in-memory singleton removal
Wed Oct 27 04:13:09 2010  begin with 17501873 relations and 8183370 unique ideals
Wed Oct 27 04:13:15 2010  reduce to 17501798 relations and 7783124 ideals in 2 passes
Wed Oct 27 04:13:15 2010  max relations containing the same ideal: 163
Wed Oct 27 04:13:22 2010  removing 129968 relations and 65008 ideals in 64960 cliques
Wed Oct 27 04:13:23 2010  commencing in-memory singleton removal
Wed Oct 27 04:13:26 2010  begin with 17371830 relations and 7783124 unique ideals
Wed Oct 27 04:13:31 2010  reduce to 17371797 relations and 7718083 ideals in 2 passes
Wed Oct 27 04:13:31 2010  max relations containing the same ideal: 161
Wed Oct 27 04:13:39 2010  removing 24804 relations and 12405 ideals in 12399 cliques
Wed Oct 27 04:13:39 2010  commencing in-memory singleton removal
Wed Oct 27 04:13:42 2010  begin with 17346993 relations and 7718083 unique ideals
Wed Oct 27 04:13:48 2010  reduce to 17346986 relations and 7705671 ideals in 2 passes
Wed Oct 27 04:13:48 2010  max relations containing the same ideal: 160
Wed Oct 27 04:13:59 2010  relations with 0 large ideals: 498
Wed Oct 27 04:13:59 2010  relations with 1 large ideals: 17083
Wed Oct 27 04:13:59 2010  relations with 2 large ideals: 224643
Wed Oct 27 04:13:59 2010  relations with 3 large ideals: 1240805
Wed Oct 27 04:13:59 2010  relations with 4 large ideals: 3551234
Wed Oct 27 04:13:59 2010  relations with 5 large ideals: 5436415
Wed Oct 27 04:13:59 2010  relations with 6 large ideals: 4424762
Wed Oct 27 04:13:59 2010  relations with 7+ large ideals: 2451546
Wed Oct 27 04:13:59 2010  commencing 2-way merge
Wed Oct 27 04:14:15 2010  reduce to 17340441 relation sets and 7699126 unique ideals
Wed Oct 27 04:14:15 2010  commencing full merge
Wed Oct 27 04:16:33 2010  memory use: 693.1 MB
Wed Oct 27 04:16:36 2010  found 11151819 cycles, need 1657326
Wed Oct 27 04:16:41 2010  weight of 1657326 cycles is about 25539455 (15.41/cycle)
Wed Oct 27 04:16:41 2010  distribution of cycle lengths:
Wed Oct 27 04:16:41 2010  1 relations: 1337324
Wed Oct 27 04:16:41 2010  2 relations: 319970
Wed Oct 27 04:16:41 2010  3 relations: 32
Wed Oct 27 04:16:41 2010  4 relations: 0
Wed Oct 27 04:16:41 2010  5 relations: 0
Wed Oct 27 04:16:41 2010  6 relations: 0
Wed Oct 27 04:16:41 2010  7 relations: 0
Wed Oct 27 04:16:41 2010  8 relations: 0
Wed Oct 27 04:16:41 2010  9 relations: 0
Wed Oct 27 04:16:41 2010  10+ relations: 0
Wed Oct 27 04:16:41 2010  heaviest cycle: 3 relations
Wed Oct 27 04:16:46 2010  commencing cycle optimization
Wed Oct 27 04:16:46 2010  start with 1977360 relations
Wed Oct 27 04:16:47 2010  pruned 0 relations
Wed Oct 27 04:16:47 2010  memory use: 59.7 MB
Wed Oct 27 04:16:47 2010  distribution of cycle lengths:
Wed Oct 27 04:16:47 2010  1 relations: 1337324
Wed Oct 27 04:16:47 2010  2 relations: 319970
Wed Oct 27 04:16:47 2010  3 relations: 32
Wed Oct 27 04:16:47 2010  4 relations: 0
Wed Oct 27 04:16:47 2010  5 relations: 0
Wed Oct 27 04:16:47 2010  6 relations: 0
Wed Oct 27 04:16:47 2010  7 relations: 0
Wed Oct 27 04:16:47 2010  8 relations: 0
Wed Oct 27 04:16:47 2010  9 relations: 0
Wed Oct 27 04:16:47 2010  10+ relations: 0
Wed Oct 27 04:16:47 2010  heaviest cycle: 3 relations
Wed Oct 27 04:16:47 2010  RelProcTime: 1183
Wed Oct 27 04:16:47 2010  
Wed Oct 27 04:16:47 2010  commencing linear algebra
Wed Oct 27 04:16:48 2010  read 1657326 cycles
Wed Oct 27 04:16:49 2010  cycles contain 1919126 unique relations
Wed Oct 27 04:17:16 2010  read 1919126 relations
Wed Oct 27 04:17:17 2010  using 20 quadratic characters above 134214764
Wed Oct 27 04:17:26 2010  building initial matrix
Wed Oct 27 04:17:39 2010  memory use: 301.2 MB
Wed Oct 27 04:17:39 2010  read 1657326 cycles
Wed Oct 27 04:17:40 2010  matrix is 1496076 x 1657326 (167.6 MB) with weight 54360836 (32.80/col)
Wed Oct 27 04:17:40 2010  sparse part has weight 25714754 (15.52/col)
Wed Oct 27 04:17:52 2010  filtering completed in 5 passes
Wed Oct 27 04:17:52 2010  matrix is 899495 x 899695 (96.4 MB) with weight 31091126 (34.56/col)
Wed Oct 27 04:17:52 2010  sparse part has weight 15370551 (17.08/col)
Wed Oct 27 04:17:53 2010  read 899695 cycles
Wed Oct 27 04:17:53 2010  matrix is 899495 x 899695 (96.4 MB) with weight 31091126 (34.56/col)
Wed Oct 27 04:17:53 2010  sparse part has weight 15370551 (17.08/col)
Wed Oct 27 04:17:53 2010  saving the first 48 matrix rows for later
Wed Oct 27 04:17:54 2010  matrix is 899447 x 899695 (91.3 MB) with weight 17244770 (19.17/col)
Wed Oct 27 04:17:54 2010  sparse part has weight 14930814 (16.60/col)
Wed Oct 27 04:17:54 2010  matrix includes 64 packed rows
Wed Oct 27 04:17:54 2010  using block size 65536 for processor cache size 6144 kB
Wed Oct 27 04:17:55 2010  commencing Lanczos iteration (4 threads)
Wed Oct 27 04:17:55 2010  memory use: 130.3 MB
Wed Oct 27 04:17:58 2010  linear algebra at 0.2%, ETA 0h29m
Wed Oct 27 04:44:14 2010  lanczos halted after 14225 iterations (dim = 899339)
Wed Oct 27 04:44:16 2010  lanczos error: only trivial dependencies found
Wed Oct 27 04:44:16 2010  BLanczosTime: 1649
Wed Oct 27 04:44:16 2010  
Wed Oct 27 04:44:16 2010  commencing square root phase
Wed Oct 27 04:44:16 2010  reading relations for dependency 1
Wed Oct 27 04:44:16 2010  error: read_cycles can't open dependency file
Wed Oct 27 05:04:16 2010  
Wed Oct 27 05:04:16 2010  
Wed Oct 27 05:04:16 2010  Msieve v. 1.44
Wed Oct 27 05:04:16 2010  random seeds: 8831d951 39b5c857
Wed Oct 27 05:04:16 2010  factoring 119207343174979188536115947133199947153497744557319732563898659308606206820529112902531007249728595934942622650590344549 (120 digits)
Wed Oct 27 05:04:17 2010  no P-1/P+1/ECM available, skipping
Wed Oct 27 05:04:17 2010  commencing number field sieve (120-digit input)
Wed Oct 27 05:04:17 2010  R0: -136452419088159038229189
Wed Oct 27 05:04:17 2010  R1:  5042755569857
Wed Oct 27 05:04:17 2010  A0: -73833711566959665566451431680
Wed Oct 27 05:04:17 2010  A1: -847491759035990763070064
Wed Oct 27 05:04:17 2010  A2:  17669455296829002382
Wed Oct 27 05:04:17 2010  A3:  229280423613245
Wed Oct 27 05:04:17 2010  A4: -585528618
Wed Oct 27 05:04:17 2010  A5:  2520
Wed Oct 27 05:04:17 2010  skew 1.00, size 2.311284e-11, alpha -6.464029, combined = 8.264576e-12
Wed Oct 27 05:04:17 2010  
Wed Oct 27 05:04:17 2010  commencing relation filtering
Wed Oct 27 05:04:17 2010  estimated available RAM is 3926.0 MB
Wed Oct 27 05:04:17 2010  commencing duplicate removal, pass 1
Wed Oct 27 05:06:28 2010  found 2554007 hash collisions in 20000000 relations
Wed Oct 27 05:06:48 2010  added 63724 free relations
Wed Oct 27 05:06:48 2010  commencing duplicate removal, pass 2
Wed Oct 27 05:06:55 2010  found 1636411 duplicates and 18427313 unique relations
Wed Oct 27 05:06:55 2010  memory use: 82.6 MB
Wed Oct 27 05:06:55 2010  reading ideals above 720000
Wed Oct 27 05:06:56 2010  commencing singleton removal, initial pass
Wed Oct 27 05:09:34 2010  memory use: 344.5 MB
Wed Oct 27 05:09:34 2010  reading all ideals from disk
Wed Oct 27 05:09:35 2010  memory use: 531.5 MB
Wed Oct 27 05:09:38 2010  keeping 13216428 ideals with weight <= 200, target excess is 120830
Wed Oct 27 05:09:41 2010  commencing in-memory singleton removal
Wed Oct 27 05:09:44 2010  begin with 18427313 relations and 13216428 unique ideals
Wed Oct 27 05:10:10 2010  reduce to 14614094 relations and 9149098 ideals in 10 passes
Wed Oct 27 05:10:10 2010  max relations containing the same ideal: 175
Wed Oct 27 05:10:19 2010  removing 1438844 relations and 1038845 ideals in 400000 cliques
Wed Oct 27 05:10:20 2010  commencing in-memory singleton removal
Wed Oct 27 05:10:22 2010  begin with 13175250 relations and 9149098 unique ideals
Wed Oct 27 05:10:33 2010  reduce to 13109268 relations and 8042264 ideals in 5 passes
Wed Oct 27 05:10:33 2010  max relations containing the same ideal: 164
Wed Oct 27 05:10:42 2010  removing 1123046 relations and 723046 ideals in 400000 cliques
Wed Oct 27 05:10:42 2010  commencing in-memory singleton removal
Wed Oct 27 05:10:44 2010  begin with 11986222 relations and 8042264 unique ideals
Wed Oct 27 05:10:54 2010  reduce to 11941801 relations and 7273636 ideals in 5 passes
Wed Oct 27 05:10:54 2010  max relations containing the same ideal: 153
Wed Oct 27 05:11:01 2010  removing 996104 relations and 596104 ideals in 400000 cliques
Wed Oct 27 05:11:02 2010  commencing in-memory singleton removal
Wed Oct 27 05:11:04 2010  begin with 10945697 relations and 7273636 unique ideals
Wed Oct 27 05:11:13 2010  reduce to 10891193 relations and 6621178 ideals in 5 passes
Wed Oct 27 05:11:13 2010  max relations containing the same ideal: 142
Wed Oct 27 05:11:19 2010  removing 936877 relations and 536877 ideals in 400000 cliques
Wed Oct 27 05:11:20 2010  commencing in-memory singleton removal
Wed Oct 27 05:11:21 2010  begin with 9954316 relations and 6621178 unique ideals
Wed Oct 27 05:11:29 2010  reduce to 9906514 relations and 6034818 ideals in 5 passes
Wed Oct 27 05:11:29 2010  max relations containing the same ideal: 135
Wed Oct 27 05:11:36 2010  removing 908597 relations and 508597 ideals in 400000 cliques
Wed Oct 27 05:11:36 2010  commencing in-memory singleton removal
Wed Oct 27 05:11:37 2010  begin with 8997917 relations and 6034818 unique ideals
Wed Oct 27 05:11:44 2010  reduce to 8951544 relations and 5478126 ideals in 5 passes
Wed Oct 27 05:11:44 2010  max relations containing the same ideal: 123
Wed Oct 27 05:11:50 2010  removing 889549 relations and 489549 ideals in 400000 cliques
Wed Oct 27 05:11:50 2010  commencing in-memory singleton removal
Wed Oct 27 05:11:52 2010  begin with 8061995 relations and 5478126 unique ideals
Wed Oct 27 05:11:57 2010  reduce to 8016293 relations and 4940830 ideals in 4 passes
Wed Oct 27 05:11:57 2010  max relations containing the same ideal: 113
Wed Oct 27 05:12:01 2010  removing 870591 relations and 470591 ideals in 400000 cliques
Wed Oct 27 05:12:02 2010  commencing in-memory singleton removal
Wed Oct 27 05:12:03 2010  begin with 7145702 relations and 4940830 unique ideals
Wed Oct 27 05:12:08 2010  reduce to 7097352 relations and 4419419 ideals in 5 passes
Wed Oct 27 05:12:08 2010  max relations containing the same ideal: 106
Wed Oct 27 05:12:12 2010  removing 855570 relations and 455570 ideals in 400000 cliques
Wed Oct 27 05:12:13 2010  commencing in-memory singleton removal
Wed Oct 27 05:12:14 2010  begin with 6241782 relations and 4419419 unique ideals
Wed Oct 27 05:12:18 2010  reduce to 6189902 relations and 3908700 ideals in 5 passes
Wed Oct 27 05:12:18 2010  max relations containing the same ideal: 95
Wed Oct 27 05:12:22 2010  removing 842966 relations and 442966 ideals in 400000 cliques
Wed Oct 27 05:12:22 2010  commencing in-memory singleton removal
Wed Oct 27 05:12:23 2010  begin with 5346936 relations and 3908700 unique ideals
Wed Oct 27 05:12:28 2010  reduce to 5297648 relations and 3413179 ideals in 6 passes
Wed Oct 27 05:12:28 2010  max relations containing the same ideal: 84
Wed Oct 27 05:12:31 2010  removing 839747 relations and 439747 ideals in 400000 cliques
Wed Oct 27 05:12:31 2010  commencing in-memory singleton removal
Wed Oct 27 05:12:32 2010  begin with 4457901 relations and 3413179 unique ideals
Wed Oct 27 05:12:35 2010  reduce to 4410512 relations and 2923031 ideals in 5 passes
Wed Oct 27 05:12:35 2010  max relations containing the same ideal: 76
Wed Oct 27 05:12:37 2010  removing 838658 relations and 438658 ideals in 400000 cliques
Wed Oct 27 05:12:37 2010  commencing in-memory singleton removal
Wed Oct 27 05:12:38 2010  begin with 3571854 relations and 2923031 unique ideals
Wed Oct 27 05:12:40 2010  reduce to 3523735 relations and 2433503 ideals in 5 passes
Wed Oct 27 05:12:40 2010  max relations containing the same ideal: 66
Wed Oct 27 05:12:42 2010  removing 838236 relations and 438236 ideals in 400000 cliques
Wed Oct 27 05:12:42 2010  commencing in-memory singleton removal
Wed Oct 27 05:12:43 2010  begin with 2685499 relations and 2433503 unique ideals
Wed Oct 27 05:12:44 2010  reduce to 2639579 relations and 1946843 ideals in 5 passes
Wed Oct 27 05:12:44 2010  max relations containing the same ideal: 57
Wed Oct 27 05:12:45 2010  removing 625231 relations and 332331 ideals in 292900 cliques
Wed Oct 27 05:12:46 2010  commencing in-memory singleton removal
Wed Oct 27 05:12:46 2010  begin with 2014348 relations and 1946843 unique ideals
Wed Oct 27 05:12:47 2010  reduce to 1970185 relations and 1567941 ideals in 6 passes
Wed Oct 27 05:12:47 2010  max relations containing the same ideal: 45
Wed Oct 27 05:12:48 2010  removing 420695 relations and 230591 ideals in 190104 cliques
Wed Oct 27 05:12:48 2010  commencing in-memory singleton removal
Wed Oct 27 05:12:48 2010  begin with 1549490 relations and 1567941 unique ideals
Wed Oct 27 05:12:49 2010  reduce to 1502742 relations and 1287707 ideals in 7 passes
Wed Oct 27 05:12:49 2010  max relations containing the same ideal: 35
Wed Oct 27 05:12:50 2010  removing 192936 relations and 118064 ideals in 74872 cliques
Wed Oct 27 05:12:50 2010  commencing in-memory singleton removal
Wed Oct 27 05:12:50 2010  begin with 1309806 relations and 1287707 unique ideals
Wed Oct 27 05:12:51 2010  reduce to 1283267 relations and 1141818 ideals in 6 passes
Wed Oct 27 05:12:51 2010  max relations containing the same ideal: 31
Wed Oct 27 05:12:51 2010  relations with 0 large ideals: 497
Wed Oct 27 05:12:51 2010  relations with 1 large ideals: 6441
Wed Oct 27 05:12:51 2010  relations with 2 large ideals: 52334
Wed Oct 27 05:12:51 2010  relations with 3 large ideals: 178373
Wed Oct 27 05:12:51 2010  relations with 4 large ideals: 327647
Wed Oct 27 05:12:51 2010  relations with 5 large ideals: 356664
Wed Oct 27 05:12:51 2010  relations with 6 large ideals: 239025
Wed Oct 27 05:12:51 2010  relations with 7+ large ideals: 122286
Wed Oct 27 05:12:51 2010  commencing 2-way merge
Wed Oct 27 05:12:52 2010  reduce to 1058759 relation sets and 917310 unique ideals
Wed Oct 27 05:12:52 2010  commencing full merge
Wed Oct 27 05:13:06 2010  memory use: 100.2 MB
Wed Oct 27 05:13:06 2010  found 509539 cycles, need 489510
Wed Oct 27 05:13:06 2010  weight of 489510 cycles is about 34612506 (70.71/cycle)
Wed Oct 27 05:13:06 2010  distribution of cycle lengths:
Wed Oct 27 05:13:06 2010  1 relations: 30324
Wed Oct 27 05:13:06 2010  2 relations: 50739
Wed Oct 27 05:13:06 2010  3 relations: 60110
Wed Oct 27 05:13:06 2010  4 relations: 59373
Wed Oct 27 05:13:06 2010  5 relations: 55720
Wed Oct 27 05:13:06 2010  6 relations: 49636
Wed Oct 27 05:13:06 2010  7 relations: 42783
Wed Oct 27 05:13:06 2010  8 relations: 35681
Wed Oct 27 05:13:06 2010  9 relations: 28934
Wed Oct 27 05:13:06 2010  10+ relations: 76210
Wed Oct 27 05:13:06 2010  heaviest cycle: 17 relations
Wed Oct 27 05:13:07 2010  commencing cycle optimization
Wed Oct 27 05:13:07 2010  start with 2857294 relations
Wed Oct 27 05:13:12 2010  pruned 156894 relations
Wed Oct 27 05:13:12 2010  memory use: 81.5 MB
Wed Oct 27 05:13:12 2010  distribution of cycle lengths:
Wed Oct 27 05:13:12 2010  1 relations: 30324
Wed Oct 27 05:13:12 2010  2 relations: 52930
Wed Oct 27 05:13:12 2010  3 relations: 64777
Wed Oct 27 05:13:12 2010  4 relations: 63654
Wed Oct 27 05:13:12 2010  5 relations: 59897
Wed Oct 27 05:13:12 2010  6 relations: 52421
Wed Oct 27 05:13:12 2010  7 relations: 44283
Wed Oct 27 05:13:12 2010  8 relations: 35290
Wed Oct 27 05:13:12 2010  9 relations: 27740
Wed Oct 27 05:13:12 2010  10+ relations: 58194
Wed Oct 27 05:13:12 2010  heaviest cycle: 17 relations
Wed Oct 27 05:13:13 2010  RelProcTime: 536
Wed Oct 27 05:13:13 2010  
Wed Oct 27 05:13:13 2010  commencing linear algebra
Wed Oct 27 05:13:13 2010  read 489510 cycles
Wed Oct 27 05:13:14 2010  cycles contain 1225534 unique relations
Wed Oct 27 05:13:24 2010  read 1225534 relations
Wed Oct 27 05:13:26 2010  using 20 quadratic characters above 134217618
Wed Oct 27 05:13:31 2010  building initial matrix
Wed Oct 27 05:13:47 2010  memory use: 165.9 MB
Wed Oct 27 05:13:48 2010  read 489510 cycles
Wed Oct 27 05:13:48 2010  matrix is 489328 x 489510 (143.7 MB) with weight 45583307 (93.12/col)
Wed Oct 27 05:13:48 2010  sparse part has weight 32277600 (65.94/col)
Wed Oct 27 05:13:53 2010  filtering completed in 2 passes
Wed Oct 27 05:13:53 2010  matrix is 489072 x 489254 (143.6 MB) with weight 45571343 (93.14/col)
Wed Oct 27 05:13:53 2010  sparse part has weight 32272604 (65.96/col)
Wed Oct 27 05:13:55 2010  read 489254 cycles
Wed Oct 27 05:13:55 2010  matrix is 489072 x 489254 (143.6 MB) with weight 45571343 (93.14/col)
Wed Oct 27 05:13:55 2010  sparse part has weight 32272604 (65.96/col)
Wed Oct 27 05:13:55 2010  saving the first 48 matrix rows for later
Wed Oct 27 05:13:55 2010  matrix is 489024 x 489254 (138.3 MB) with weight 35863766 (73.30/col)
Wed Oct 27 05:13:55 2010  sparse part has weight 31354700 (64.09/col)
Wed Oct 27 05:13:55 2010  matrix includes 64 packed rows
Wed Oct 27 05:13:55 2010  using block size 65536 for processor cache size 6144 kB
Wed Oct 27 05:13:57 2010  commencing Lanczos iteration (4 threads)
Wed Oct 27 05:13:57 2010  memory use: 143.8 MB
Wed Oct 27 05:14:07 2010  linear algebra at 1.2%, ETA 0h13m
Wed Oct 27 05:27:03 2010  lanczos halted after 7732 iterations (dim = 489022)
Wed Oct 27 05:27:04 2010  recovered 30 nontrivial dependencies
Wed Oct 27 05:27:04 2010  BLanczosTime: 831
Wed Oct 27 05:27:04 2010  
Wed Oct 27 05:27:04 2010  commencing square root phase
Wed Oct 27 05:27:04 2010  reading relations for dependency 1
Wed Oct 27 05:27:04 2010  read 245096 cycles
Wed Oct 27 05:27:05 2010  cycles contain 614290 unique relations
Wed Oct 27 05:27:12 2010  read 614290 relations
Wed Oct 27 05:27:14 2010  multiplying 614290 relations
Wed Oct 27 05:28:33 2010  multiply complete, coefficients have about 26.08 million bits
Wed Oct 27 05:28:34 2010  initial square root is modulo 30888373
Wed Oct 27 05:31:04 2010  reading relations for dependency 2
Wed Oct 27 05:31:04 2010  read 244648 cycles
Wed Oct 27 05:31:05 2010  cycles contain 612754 unique relations
Wed Oct 27 05:31:12 2010  read 612754 relations
Wed Oct 27 05:31:14 2010  multiplying 612754 relations
Wed Oct 27 05:32:33 2010  multiply complete, coefficients have about 26.01 million bits
Wed Oct 27 05:32:34 2010  initial square root is modulo 29557631
Wed Oct 27 05:35:04 2010  reading relations for dependency 3
Wed Oct 27 05:35:04 2010  read 244211 cycles
Wed Oct 27 05:35:04 2010  cycles contain 612578 unique relations
Wed Oct 27 05:35:11 2010  read 612578 relations
Wed Oct 27 05:35:14 2010  multiplying 612578 relations
Wed Oct 27 05:36:33 2010  multiply complete, coefficients have about 26.01 million bits
Wed Oct 27 05:36:33 2010  initial square root is modulo 29427149
Wed Oct 27 05:39:04 2010  reading relations for dependency 4
Wed Oct 27 05:39:04 2010  read 245125 cycles
Wed Oct 27 05:39:04 2010  cycles contain 613124 unique relations
Wed Oct 27 05:39:11 2010  read 613124 relations
Wed Oct 27 05:39:14 2010  multiplying 613124 relations
Wed Oct 27 05:40:33 2010  multiply complete, coefficients have about 26.03 million bits
Wed Oct 27 05:40:33 2010  initial square root is modulo 29891557
Wed Oct 27 05:43:03 2010  sqrtTime: 959
Wed Oct 27 05:43:03 2010  prp59 factor: 64991613842758152589149204584090849745694917329978919571049
Wed Oct 27 05:43:03 2010  prp61 factor: 1834195769678708392648372177503150661058726052409053275801501
Wed Oct 27 05:43:03 2010  elapsed time 00:38:47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 17:49:48 UTC 2010 年 10 月 26 日 (火) 2 時 49 分 48 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 25, 2010 17:49:48 UTC 2010 年 10 月 26 日 (火) 2 時 49 分 48 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 25, 2010 17:49:48 UTC 2010 年 10 月 26 日 (火) 2 時 49 分 48 秒 (日本時間)

76×10186+419

c155

name 名前LegionMammal978
date 日付July 10, 2017 10:50:38 UTC 2017 年 7 月 10 日 (月) 19 時 50 分 38 秒 (日本時間)
composite number 合成数
21968729622258162470319873264507347769349781002232780985359698128093591858307035508637101514634769757782220031924444721308144072437564880728213117076523793<155>
prime factors 素因数
162976411668270008447034247662591668070443215941987855100701704955434609989<75>
134796989315081783719580034388653554913237872590930391646923255234059605778367837<81>
factorization results 素因数分解の結果
Sun Jul  9 20:53:09 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jul  9 20:53:09 2017  random seeds: 524a476b 7eac7a1f
Sun Jul  9 20:53:09 2017  factoring 21968729622258162470319873264507347769349781002232780985359698128093591858307035508637101514634769757782220031924444721308144072437564880728213117076523793 (155 digits)
Sun Jul  9 20:53:10 2017  no P-1/P+1/ECM available, skipping
Sun Jul  9 20:53:10 2017  commencing number field sieve (155-digit input)
Sun Jul  9 20:53:10 2017  R0: -10000000000000000000000000000000000000
Sun Jul  9 20:53:10 2017  R1: 1
Sun Jul  9 20:53:10 2017  A0: 41
Sun Jul  9 20:53:10 2017  A1: 0
Sun Jul  9 20:53:10 2017  A2: 0
Sun Jul  9 20:53:10 2017  A3: 0
Sun Jul  9 20:53:10 2017  A4: 0
Sun Jul  9 20:53:10 2017  A5: 760
Sun Jul  9 20:53:10 2017  skew 0.56, size 2.116e-13, alpha 1.258, combined = 3.316e-11 rroots = 1
Sun Jul  9 20:53:10 2017  
Sun Jul  9 20:53:10 2017  commencing relation filtering
Sun Jul  9 20:53:10 2017  estimated available RAM is 15929.4 MB
Sun Jul  9 20:53:10 2017  commencing duplicate removal, pass 1
Sun Jul  9 20:55:57 2017  skipped 1 relations with b > 2^32
Sun Jul  9 20:55:57 2017  found 3790788 hash collisions in 22923822 relations
Sun Jul  9 20:56:17 2017  added 264 free relations
Sun Jul  9 20:56:17 2017  commencing duplicate removal, pass 2
Sun Jul  9 20:56:23 2017  found 3568580 duplicates and 19355506 unique relations
Sun Jul  9 20:56:23 2017  memory use: 106.6 MB
Sun Jul  9 20:56:23 2017  reading ideals above 720000
Sun Jul  9 20:56:23 2017  commencing singleton removal, initial pass
Sun Jul  9 20:58:22 2017  memory use: 689.0 MB
Sun Jul  9 20:58:22 2017  reading all ideals from disk
Sun Jul  9 20:58:23 2017  memory use: 621.7 MB
Sun Jul  9 20:58:23 2017  keeping 21521391 ideals with weight <= 200, target excess is 116235
Sun Jul  9 20:58:24 2017  commencing in-memory singleton removal
Sun Jul  9 20:58:25 2017  begin with 19355506 relations and 21521391 unique ideals
Sun Jul  9 20:58:33 2017  reduce to 7963113 relations and 7826155 ideals in 19 passes
Sun Jul  9 20:58:33 2017  max relations containing the same ideal: 108
Sun Jul  9 20:58:37 2017  relations with 0 large ideals: 2903
Sun Jul  9 20:58:37 2017  relations with 1 large ideals: 735
Sun Jul  9 20:58:37 2017  relations with 2 large ideals: 14770
Sun Jul  9 20:58:37 2017  relations with 3 large ideals: 121218
Sun Jul  9 20:58:37 2017  relations with 4 large ideals: 544967
Sun Jul  9 20:58:37 2017  relations with 5 large ideals: 1426736
Sun Jul  9 20:58:37 2017  relations with 6 large ideals: 2321283
Sun Jul  9 20:58:37 2017  relations with 7+ large ideals: 3530501
Sun Jul  9 20:58:37 2017  commencing 2-way merge
Sun Jul  9 20:58:40 2017  reduce to 4628873 relation sets and 4492565 unique ideals
Sun Jul  9 20:58:40 2017  ignored 650 oversize relation sets
Sun Jul  9 20:58:40 2017  commencing full merge
Sun Jul  9 21:00:52 2017  memory use: 208.7 MB
Sun Jul  9 21:00:52 2017  found 22024 cycles, need 991935
Sun Jul  9 21:00:52 2017  too few cycles, matrix probably cannot build
Sun Jul 09 21:00:52 2017 LatSieveTime: 1184.19
Sun Jul 09 21:00:52 2017 -> making sieve job for q = 18450000 in 18450000 .. 18466666 as file 84449_186.job.T0
Sun Jul 09 21:00:52 2017 -> making sieve job for q = 18466666 in 18466666 .. 18483332 as file 84449_186.job.T1
Sun Jul 09 21:00:52 2017 -> making sieve job for q = 18483332 in 18483332 .. 18499998 as file 84449_186.job.T2
Sun Jul 09 21:00:52 2017 -> making sieve job for q = 18499998 in 18499998 .. 18516664 as file 84449_186.job.T3
Sun Jul 09 21:00:52 2017 -> making sieve job for q = 18516664 in 18516664 .. 18533330 as file 84449_186.job.T4
Sun Jul 09 21:00:52 2017 -> making sieve job for q = 18533330 in 18533330 .. 18549996 as file 84449_186.job.T5
Sun Jul 09 21:00:52 2017 -> Lattice sieving rational q from 18450000 to 18550000.
Sun Jul 09 21:00:52 2017 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 84449_186.job.T0
Sun Jul 09 21:00:52 2017 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 84449_186.job.T1
Sun Jul 09 21:00:52 2017 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 84449_186.job.T2
Sun Jul 09 21:00:52 2017 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 84449_186.job.T3
Sun Jul 09 21:00:52 2017 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 84449_186.job.T4
Sun Jul 09 21:00:52 2017 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 84449_186.job.T5
Sun Jul 09 21:12:48 2017 Found 23059233 relations, 119.4% of the estimated minimum (19306977).
Sun Jul 09 21:12:48 2017 -> ./msieve -s 84449_186/84449_186.dat -l 84449_186/84449_186.log -i 84449_186/84449_186.ini -nf 84449_186/84449_186.fb -t 6 -nc1
Sun Jul  9 21:12:48 2017  
Sun Jul  9 21:12:48 2017  
Sun Jul  9 21:12:48 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jul  9 21:12:48 2017  random seeds: e5445d6d e58e0b18
Sun Jul  9 21:12:48 2017  factoring 21968729622258162470319873264507347769349781002232780985359698128093591858307035508637101514634769757782220031924444721308144072437564880728213117076523793 (155 digits)
Sun Jul  9 21:12:49 2017  no P-1/P+1/ECM available, skipping
Sun Jul  9 21:12:49 2017  commencing number field sieve (155-digit input)
Sun Jul  9 21:12:49 2017  R0: -10000000000000000000000000000000000000
Sun Jul  9 21:12:49 2017  R1: 1
Sun Jul  9 21:12:49 2017  A0: 41
Sun Jul  9 21:12:49 2017  A1: 0
Sun Jul  9 21:12:49 2017  A2: 0
Sun Jul  9 21:12:49 2017  A3: 0
Sun Jul  9 21:12:49 2017  A4: 0
Sun Jul  9 21:12:49 2017  A5: 760
Sun Jul  9 21:12:49 2017  skew 0.56, size 2.116e-13, alpha 1.258, combined = 3.316e-11 rroots = 1
Sun Jul  9 21:12:49 2017  
Sun Jul  9 21:12:49 2017  commencing relation filtering
Sun Jul  9 21:12:49 2017  estimated available RAM is 15929.4 MB
Sun Jul  9 21:12:49 2017  commencing duplicate removal, pass 1
Sun Jul  9 21:15:36 2017  skipped 1 relations with b > 2^32
Sun Jul  9 21:15:36 2017  found 3826491 hash collisions in 23059231 relations
Sun Jul  9 21:15:55 2017  added 242 free relations
Sun Jul  9 21:15:55 2017  commencing duplicate removal, pass 2
Sun Jul  9 21:16:01 2017  found 3603835 duplicates and 19455638 unique relations
Sun Jul  9 21:16:01 2017  memory use: 106.6 MB
Sun Jul  9 21:16:01 2017  reading ideals above 720000
Sun Jul  9 21:16:01 2017  commencing singleton removal, initial pass
Sun Jul  9 21:18:03 2017  memory use: 689.0 MB
Sun Jul  9 21:18:03 2017  reading all ideals from disk
Sun Jul  9 21:18:03 2017  memory use: 625.0 MB
Sun Jul  9 21:18:04 2017  keeping 21559135 ideals with weight <= 200, target excess is 116261
Sun Jul  9 21:18:05 2017  commencing in-memory singleton removal
Sun Jul  9 21:18:06 2017  begin with 19455638 relations and 21559135 unique ideals
Sun Jul  9 21:18:14 2017  reduce to 8104022 relations and 7926398 ideals in 19 passes
Sun Jul  9 21:18:14 2017  max relations containing the same ideal: 110
Sun Jul  9 21:18:16 2017  removing 322266 relations and 300885 ideals in 21381 cliques
Sun Jul  9 21:18:16 2017  commencing in-memory singleton removal
Sun Jul  9 21:18:17 2017  begin with 7781756 relations and 7926398 unique ideals
Sun Jul  9 21:18:20 2017  reduce to 7770336 relations and 7614050 ideals in 9 passes
Sun Jul  9 21:18:20 2017  max relations containing the same ideal: 106
Sun Jul  9 21:18:22 2017  removing 232199 relations and 210818 ideals in 21381 cliques
Sun Jul  9 21:18:22 2017  commencing in-memory singleton removal
Sun Jul  9 21:18:22 2017  begin with 7538137 relations and 7614050 unique ideals
Sun Jul  9 21:18:25 2017  reduce to 7532230 relations and 7397302 ideals in 7 passes
Sun Jul  9 21:18:25 2017  max relations containing the same ideal: 104
Sun Jul  9 21:18:26 2017  relations with 0 large ideals: 2903
Sun Jul  9 21:18:26 2017  relations with 1 large ideals: 739
Sun Jul  9 21:18:26 2017  relations with 2 large ideals: 14717
Sun Jul  9 21:18:26 2017  relations with 3 large ideals: 119611
Sun Jul  9 21:18:26 2017  relations with 4 large ideals: 529771
Sun Jul  9 21:18:26 2017  relations with 5 large ideals: 1368457
Sun Jul  9 21:18:26 2017  relations with 6 large ideals: 2190057
Sun Jul  9 21:18:26 2017  relations with 7+ large ideals: 3305975
Sun Jul  9 21:18:26 2017  commencing 2-way merge
Sun Jul  9 21:18:29 2017  reduce to 4442398 relation sets and 4307470 unique ideals
Sun Jul  9 21:18:29 2017  commencing full merge
Sun Jul  9 21:19:17 2017  memory use: 521.5 MB
Sun Jul  9 21:19:17 2017  found 2275737 cycles, need 2263670
Sun Jul  9 21:19:18 2017  weight of 2263670 cycles is about 158628706 (70.08/cycle)
Sun Jul  9 21:19:18 2017  distribution of cycle lengths:
Sun Jul  9 21:19:18 2017  1 relations: 332094
Sun Jul  9 21:19:18 2017  2 relations: 298140
Sun Jul  9 21:19:18 2017  3 relations: 275356
Sun Jul  9 21:19:18 2017  4 relations: 235207
Sun Jul  9 21:19:18 2017  5 relations: 201723
Sun Jul  9 21:19:18 2017  6 relations: 165351
Sun Jul  9 21:19:18 2017  7 relations: 138699
Sun Jul  9 21:19:18 2017  8 relations: 114813
Sun Jul  9 21:19:18 2017  9 relations: 93309
Sun Jul  9 21:19:18 2017  10+ relations: 408978
Sun Jul  9 21:19:18 2017  heaviest cycle: 28 relations
Sun Jul  9 21:19:18 2017  commencing cycle optimization
Sun Jul  9 21:19:21 2017  start with 13091488 relations
Sun Jul  9 21:19:33 2017  pruned 287880 relations
Sun Jul  9 21:19:33 2017  memory use: 436.6 MB
Sun Jul  9 21:19:33 2017  distribution of cycle lengths:
Sun Jul  9 21:19:33 2017  1 relations: 332094
Sun Jul  9 21:19:33 2017  2 relations: 304347
Sun Jul  9 21:19:33 2017  3 relations: 284531
Sun Jul  9 21:19:33 2017  4 relations: 239415
Sun Jul  9 21:19:33 2017  5 relations: 204911
Sun Jul  9 21:19:33 2017  6 relations: 166524
Sun Jul  9 21:19:33 2017  7 relations: 138615
Sun Jul  9 21:19:33 2017  8 relations: 113299
Sun Jul  9 21:19:33 2017  9 relations: 91763
Sun Jul  9 21:19:33 2017  10+ relations: 388171
Sun Jul  9 21:19:33 2017  heaviest cycle: 28 relations
Sun Jul  9 21:19:35 2017  RelProcTime: 406
Sun Jul  9 21:19:36 2017  elapsed time 00:06:48
Sun Jul 09 21:19:36 2017 LatSieveTime: 1123.6
Sun Jul 09 21:19:36 2017 -> Running matrix solving step ...
Sun Jul 09 21:19:36 2017 -> ./msieve -s 84449_186/84449_186.dat -l 84449_186/84449_186.log -i 84449_186/84449_186.ini -nf 84449_186/84449_186.fb -t 6 -nc2
Sun Jul  9 21:19:36 2017  
Sun Jul  9 21:19:36 2017  
Sun Jul  9 21:19:36 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jul  9 21:19:36 2017  random seeds: acfa185e 2225b48d
Sun Jul  9 21:19:36 2017  factoring 21968729622258162470319873264507347769349781002232780985359698128093591858307035508637101514634769757782220031924444721308144072437564880728213117076523793 (155 digits)
Sun Jul  9 21:19:37 2017  no P-1/P+1/ECM available, skipping
Sun Jul  9 21:19:37 2017  commencing number field sieve (155-digit input)
Sun Jul  9 21:19:37 2017  R0: -10000000000000000000000000000000000000
Sun Jul  9 21:19:37 2017  R1: 1
Sun Jul  9 21:19:37 2017  A0: 41
Sun Jul  9 21:19:37 2017  A1: 0
Sun Jul  9 21:19:37 2017  A2: 0
Sun Jul  9 21:19:37 2017  A3: 0
Sun Jul  9 21:19:37 2017  A4: 0
Sun Jul  9 21:19:37 2017  A5: 760
Sun Jul  9 21:19:37 2017  skew 0.56, size 2.116e-13, alpha 1.258, combined = 3.316e-11 rroots = 1
Sun Jul  9 21:19:37 2017  
Sun Jul  9 21:19:37 2017  commencing linear algebra
Sun Jul  9 21:19:37 2017  read 2263670 cycles
Sun Jul  9 21:19:39 2017  cycles contain 7367086 unique relations
Sun Jul  9 21:20:14 2017  read 7367086 relations
Sun Jul  9 21:20:19 2017  using 20 quadratic characters above 4294917295
Sun Jul  9 21:20:48 2017  building initial matrix
Sun Jul  9 21:21:32 2017  memory use: 902.1 MB
Sun Jul  9 21:21:33 2017  read 2263670 cycles
Sun Jul  9 21:21:33 2017  matrix is 2263490 x 2263670 (679.7 MB) with weight 200323334 (88.49/col)
Sun Jul  9 21:21:33 2017  sparse part has weight 153270337 (67.71/col)
Sun Jul  9 21:21:46 2017  filtering completed in 2 passes
Sun Jul  9 21:21:46 2017  matrix is 2261192 x 2261371 (679.5 MB) with weight 200246335 (88.55/col)
Sun Jul  9 21:21:46 2017  sparse part has weight 153245026 (67.77/col)
Sun Jul  9 21:21:51 2017  matrix starts at (0, 0)
Sun Jul  9 21:21:51 2017  matrix is 2261192 x 2261371 (679.5 MB) with weight 200246335 (88.55/col)
Sun Jul  9 21:21:51 2017  sparse part has weight 153245026 (67.77/col)
Sun Jul  9 21:21:51 2017  saving the first 48 matrix rows for later
Sun Jul  9 21:21:51 2017  matrix includes 64 packed rows
Sun Jul  9 21:21:52 2017  matrix is 2261144 x 2261371 (644.7 MB) with weight 158633894 (70.15/col)
Sun Jul  9 21:21:52 2017  sparse part has weight 146390412 (64.74/col)
Sun Jul  9 21:21:52 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Jul  9 21:21:57 2017  commencing Lanczos iteration (6 threads)
Sun Jul  9 21:21:57 2017  memory use: 522.3 MB
Sun Jul  9 21:22:02 2017  linear algebra at 0.1%, ETA 2h 3m
Sun Jul  9 21:22:04 2017  checkpointing every 1050000 dimensions
Sun Jul  9 23:41:52 2017  lanczos halted after 35758 iterations (dim = 2261142)
Sun Jul  9 23:41:54 2017  recovered 37 nontrivial dependencies
Sun Jul  9 23:41:54 2017  BLanczosTime: 8537
Sun Jul  9 23:41:54 2017  elapsed time 02:22:18
Sun Jul 09 23:41:54 2017 -> Running square root step ...
Sun Jul 09 23:41:54 2017 -> ./msieve -s 84449_186/84449_186.dat -l 84449_186/84449_186.log -i 84449_186/84449_186.ini -nf 84449_186/84449_186.fb -t 6 -nc3
Sun Jul  9 23:41:54 2017  
Sun Jul  9 23:41:54 2017  
Sun Jul  9 23:41:54 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jul  9 23:41:54 2017  random seeds: 14004f03 1ff1c819
Sun Jul  9 23:41:54 2017  factoring 21968729622258162470319873264507347769349781002232780985359698128093591858307035508637101514634769757782220031924444721308144072437564880728213117076523793 (155 digits)
Sun Jul  9 23:41:55 2017  no P-1/P+1/ECM available, skipping
Sun Jul  9 23:41:55 2017  commencing number field sieve (155-digit input)
Sun Jul  9 23:41:55 2017  R0: -10000000000000000000000000000000000000
Sun Jul  9 23:41:55 2017  R1: 1
Sun Jul  9 23:41:55 2017  A0: 41
Sun Jul  9 23:41:55 2017  A1: 0
Sun Jul  9 23:41:55 2017  A2: 0
Sun Jul  9 23:41:55 2017  A3: 0
Sun Jul  9 23:41:55 2017  A4: 0
Sun Jul  9 23:41:55 2017  A5: 760
Sun Jul  9 23:41:55 2017  skew 0.56, size 2.116e-13, alpha 1.258, combined = 3.316e-11 rroots = 1
Sun Jul  9 23:41:55 2017  
Sun Jul  9 23:41:55 2017  commencing square root phase
Sun Jul  9 23:41:55 2017  reading relations for dependency 1
Sun Jul  9 23:41:55 2017  read 1130234 cycles
Sun Jul  9 23:41:56 2017  cycles contain 3683608 unique relations
Sun Jul  9 23:42:14 2017  read 3683608 relations
Sun Jul  9 23:42:25 2017  multiplying 3683608 relations
Sun Jul  9 23:44:16 2017  multiply complete, coefficients have about 117.16 million bits
Sun Jul  9 23:44:16 2017  initial square root is modulo 256513421
Sun Jul  9 23:46:35 2017  GCD is N, no factor found
Sun Jul  9 23:46:35 2017  reading relations for dependency 2
Sun Jul  9 23:46:35 2017  read 1129009 cycles
Sun Jul  9 23:46:36 2017  cycles contain 3678754 unique relations
Sun Jul  9 23:46:54 2017  read 3678754 relations
Sun Jul  9 23:47:04 2017  multiplying 3678754 relations
Sun Jul  9 23:48:55 2017  multiply complete, coefficients have about 117.00 million bits
Sun Jul  9 23:48:55 2017  initial square root is modulo 249988951
Sun Jul  9 23:51:13 2017  Newton iteration failed to converge
Sun Jul  9 23:51:13 2017  algebraic square root failed
Sun Jul  9 23:51:13 2017  reading relations for dependency 3
Sun Jul  9 23:51:13 2017  read 1130807 cycles
Sun Jul  9 23:51:14 2017  cycles contain 3682826 unique relations
Sun Jul  9 23:51:32 2017  read 3682826 relations
Sun Jul  9 23:51:42 2017  multiplying 3682826 relations
Sun Jul  9 23:53:32 2017  multiply complete, coefficients have about 117.13 million bits
Sun Jul  9 23:53:32 2017  initial square root is modulo 255301031
Sun Jul  9 23:55:51 2017  Newton iteration failed to converge
Sun Jul  9 23:55:51 2017  algebraic square root failed
Sun Jul  9 23:55:51 2017  reading relations for dependency 4
Sun Jul  9 23:55:51 2017  read 1131759 cycles
Sun Jul  9 23:55:52 2017  cycles contain 3686356 unique relations
Sun Jul  9 23:56:11 2017  read 3686356 relations
Sun Jul  9 23:56:21 2017  multiplying 3686356 relations
Sun Jul  9 23:58:12 2017  multiply complete, coefficients have about 117.24 million bits
Sun Jul  9 23:58:12 2017  initial square root is modulo 260159651
Mon Jul 10 00:00:30 2017  GCD is N, no factor found
Mon Jul 10 00:00:30 2017  reading relations for dependency 5
Mon Jul 10 00:00:30 2017  read 1130930 cycles
Mon Jul 10 00:00:31 2017  cycles contain 3681430 unique relations
Mon Jul 10 00:00:49 2017  read 3681430 relations
Mon Jul 10 00:01:00 2017  multiplying 3681430 relations
Mon Jul 10 00:02:50 2017  multiply complete, coefficients have about 117.09 million bits
Mon Jul 10 00:02:51 2017  initial square root is modulo 253595191
Mon Jul 10 00:05:10 2017  Newton iteration failed to converge
Mon Jul 10 00:05:10 2017  algebraic square root failed
Mon Jul 10 00:05:10 2017  reading relations for dependency 6
Mon Jul 10 00:05:10 2017  read 1130571 cycles
Mon Jul 10 00:05:11 2017  cycles contain 3682346 unique relations
Mon Jul 10 00:05:29 2017  read 3682346 relations
Mon Jul 10 00:05:40 2017  multiplying 3682346 relations
Mon Jul 10 00:07:30 2017  multiply complete, coefficients have about 117.12 million bits
Mon Jul 10 00:07:30 2017  initial square root is modulo 254859911
Mon Jul 10 00:09:49 2017  sqrtTime: 1674
Mon Jul 10 00:09:49 2017  p75 factor: 162976411668270008447034247662591668070443215941987855100701704955434609989
Mon Jul 10 00:09:49 2017  p81 factor: 134796989315081783719580034388653554913237872590930391646923255234059605778367837
Mon Jul 10 00:09:49 2017  elapsed time 00:27:55
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 11:59:30 UTC 2010 年 11 月 2 日 (火) 20 時 59 分 30 秒 (日本時間)
403e61410110Ignacio SantosNovember 2, 2010 11:59:30 UTC 2010 年 11 月 2 日 (火) 20 時 59 分 30 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:05:46 UTC 2012 年 11 月 28 日 (水) 1 時 5 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:29 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 29 秒 (日本時間)
4511e6732 / 414932Ignacio SantosNovember 2, 2010 11:59:30 UTC 2010 年 11 月 2 日 (火) 20 時 59 分 30 秒 (日本時間)
400Rich DickersonApril 10, 2014 19:14:12 UTC 2014 年 4 月 11 日 (金) 4 時 14 分 12 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:26 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 26 秒 (日本時間)

76×10188+419

c183

name 名前Wataru Sakai
date 日付November 7, 2010 07:54:57 UTC 2010 年 11 月 7 日 (日) 16 時 54 分 57 秒 (日本時間)
composite number 合成数
166785160939889684344379492596966313984082068130728754812931459221148849984494466386568545200852456513896506691387738784504420827226747037802273689928346680864472945833907480277160947<183>
prime factors 素因数
6224315165605147551083140044697589997237558402614616477401253680291505540883<76>
26795744833347349463630613170205588390950490569984219745971858703629811691105807032763282686873737956271009<107>
factorization results 素因数分解の結果
Number: 84449_188
N=166785160939889684344379492596966313984082068130728754812931459221148849984494466386568545200852456513896506691387738784504420827226747037802273689928346680864472945833907480277160947
  ( 183 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=6224315165605147551083140044697589997237558402614616477401253680291505540883
 r2=26795744833347349463630613170205588390950490569984219745971858703629811691105807032763282686873737956271009
Version: 
Total time: 437.98 hours.
Scaled time: 882.53 units (timescale=2.015).
Factorization parameters were as follows:
n: 166785160939889684344379492596966313984082068130728754812931459221148849984494466386568545200852456513896506691387738784504420827226747037802273689928346680864472945833907480277160947
m: 20000000000000000000000000000000000000
deg: 5
c5: 2375
c0: 41
skew: 0.44
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5100000, 10000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1762066 x 1762313
Total sieving time: 437.98 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,189,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 437.98 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 KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
403e62318300Serge BatalovOctober 26, 2010 01:24:31 UTC 2010 年 10 月 26 日 (火) 10 時 24 分 31 秒 (日本時間)
2018Serge BatalovOctober 26, 2010 04:14:59 UTC 2010 年 10 月 26 日 (火) 13 時 14 分 59 秒 (日本時間)

76×10189+419

c174

composite cofactor 合成数の残り
240919906268119935122017075976969420098530575753168902954828042759612108576080871452394116815569494952247164973038614721117344571926872477666330312304077979872741826589816213<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 12:00:01 UTC 2010 年 11 月 2 日 (火) 21 時 0 分 1 秒 (日本時間)
403e61410110Ignacio SantosNovember 2, 2010 12:00:01 UTC 2010 年 11 月 2 日 (火) 21 時 0 分 1 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:05:54 UTC 2012 年 11 月 28 日 (水) 1 時 5 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:29 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 29 秒 (日本時間)
4511e6932 / 414932Ignacio SantosNovember 2, 2010 12:00:01 UTC 2010 年 11 月 2 日 (火) 21 時 0 分 1 秒 (日本時間)
600Rich DickersonApril 22, 2014 11:56:52 UTC 2014 年 4 月 22 日 (火) 20 時 56 分 52 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:27 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 27 秒 (日本時間)

76×10190+419

c182

name 名前matsui
date 日付January 14, 2011 07:00:11 UTC 2011 年 1 月 14 日 (金) 16 時 0 分 11 秒 (日本時間)
composite number 合成数
83865742391456722356356704379304459092494599353237922034749105834241301655222150485783523452011117501912415628300274556213496760422129964586737957632611785667940314840279783086302491<182>
prime factors 素因数
7519264725141523028761895718169403316825928283199094047500544860960755601<73>
11153449899302255560029293737111234179641886828398958850464314319781596756962968786283423289784926685725862891<110>
factorization results 素因数分解の結果
N=83865742391456722356356704379304459092494599353237922034749105834241301655222150485783523452011117501912415628300274556213496760422129964586737957632611785667940314840279783086302491
  ( 182 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=7519264725141523028761895718169403316825928283199094047500544860960755601 (pp73)
 r2=11153449899302255560029293737111234179641886828398958850464314319781596756962968786283423289784926685725862891 (pp110)
Version: Msieve v. 1.48
Total time:
Scaled time: 101.75 units (timescale=0.909).
Factorization parameters were as follows:
n: 83865742391456722356356704379304459092494599353237922034749105834241301655222150485783523452011117501912415628300274556213496760422129964586737957632611785667940314840279783086302491
m: 100000000000000000000000000000000000000
deg: 5
c5: 76
c0: 41
skew: 0.88
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 23100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2443344 x 2443503
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 12:00:41 UTC 2010 年 11 月 2 日 (火) 21 時 0 分 41 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 2, 2010 12:00:41 UTC 2010 年 11 月 2 日 (火) 21 時 0 分 41 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 2, 2010 12:00:41 UTC 2010 年 11 月 2 日 (火) 21 時 0 分 41 秒 (日本時間)

76×10191+419

c146

composite cofactor 合成数の残り
63809413059868869589510860351253866988317535322473163939631329133737226850210616430634479180194295133366428035688629727039885568112936518331833069<146>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 12:01:49 UTC 2010 年 11 月 2 日 (火) 21 時 1 分 49 秒 (日本時間)
403e62710110Ignacio SantosNovember 2, 2010 12:01:49 UTC 2010 年 11 月 2 日 (火) 21 時 1 分 49 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:06:03 UTC 2012 年 11 月 28 日 (水) 1 時 6 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:30 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 30 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:46 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 46 秒 (日本時間)
4511e6432 / 386232Ignacio SantosNovember 2, 2010 12:01:49 UTC 2010 年 11 月 2 日 (火) 21 時 1 分 49 秒 (日本時間)
400Rich DickersonMay 26, 2014 19:38:14 UTC 2014 年 5 月 27 日 (火) 4 時 38 分 14 秒 (日本時間)

76×10195+419

c134

name 名前Serge Batalov
date 日付October 25, 2010 20:46:15 UTC 2010 年 10 月 26 日 (火) 5 時 46 分 15 秒 (日本時間)
composite number 合成数
34678331069879153722253311691514120730899351737131616317680209936672583620806415958264904603252546101648241647127417198337743287890357<134>
prime factors 素因数
413658125633450387010222873376489519<36>
83833312875880074244106720625236687127800573123475144440791780119161210466852273108566525396922203<98>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=271977845
Step 1 took 3700ms
********** Factor found in step 1: 413658125633450387010222873376489519
Found probable prime factor of 36 digits: 413658125633450387010222873376489519
Probable prime cofactor 83833312875880074244106720625236687127800573123475144440791780119161210466852273108566525396922203 has 98 digits

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, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10196+419

c184

name 名前Serge Batalov
date 日付October 26, 2010 05:28:55 UTC 2010 年 10 月 26 日 (火) 14 時 28 分 55 秒 (日本時間)
composite number 合成数
4137956743149381520415209243378810576644666988951005676830123202400576671139662116074941282926741478641443504625782237473259396931859130179375250518460024415522192312644858857533655567<184>
prime factors 素因数
809757113780039879605861156434509411<36>
5110120890241915585889406539799437460796372880604708681958497364904572997823290868156637937591898739096500673348691227370137092107786482387876605797<148>
factorization results 素因数分解の結果
Using B1=6000000, B2=14270867530, polynomial Dickson(12), sigma=655734123
Step 1 took 18306ms
********** Factor found in step 1: 809757113780039879605861156434509411
Found probable prime factor of 36 digits: 809757113780039879605861156434509411
Probable prime cofactor has 148 digits

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, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)

76×10198+419

c180

composite cofactor 合成数の残り
332097166875204403602142030654210062831286575476013956738082720186554359646388403097866466688139733784111767569650740297460596137186800756257761379036169621240681097729646640825977<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 13:15:42 UTC 2010 年 11 月 2 日 (火) 22 時 15 分 42 秒 (日本時間)
403e62710110Ignacio SantosNovember 2, 2010 13:15:42 UTC 2010 年 11 月 2 日 (火) 22 時 15 分 42 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:06:17 UTC 2012 年 11 月 28 日 (水) 1 時 6 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:31 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 31 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:46 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 46 秒 (日本時間)
4511e632 / 3862Ignacio SantosNovember 2, 2010 13:15:42 UTC 2010 年 11 月 2 日 (火) 22 時 15 分 42 秒 (日本時間)

76×10199+419

c139

name 名前Erik Branger
date 日付October 21, 2012 19:19:30 UTC 2012 年 10 月 22 日 (月) 4 時 19 分 30 秒 (日本時間)
composite number 合成数
1611727328878335774491014898082738301295002263922343909440888370908319064528537612276878217490357139501290318707929611287198022931083374481<139>
prime factors 素因数
1969758134663930587705579181152999244879954693673721686017838255011<67>
818236158295302544506238024148371215665136147652523879697159970071251771<72>
factorization results 素因数分解の結果
Number: 84449_199
N = 1611727328878335774491014898082738301295002263922343909440888370908319064528537612276878217490357139501290318707929611287198022931083374481 (139 digits)
Divisors found:
r1=1969758134663930587705579181152999244879954693673721686017838255011 (pp67)
r2=818236158295302544506238024148371215665136147652523879697159970071251771 (pp72)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 273.02 hours.
Factorization parameters were as follows:
# Murphy_E = 2.926e-11, selected by Erik Branger
n: 1611727328878335774491014898082738301295002263922343909440888370908319064528537612276878217490357139501290318707929611287198022931083374481
Y0: -1550256064978026129066164750
Y1: 816534187518709
c0: -12762162135714121056780094694916531
c1: 146756677704219991308355750662
c2: -40895593544248727084809
c3: -85507119941160902
c4: 1471107240
c5: 180
skew: 4536221.07
type: gnfs
# selected mechanically
rlim: 17000000
alim: 17000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8500000, 19800000)
Relations: 23004790
Relations in full relation-set: 4025598 relations
Pruned matrix : 2438749 x 2438977
Polynomial selection time: 0.00 hours.
Total sieving time: 266.94 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 5.60 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,17000000,17000000,28,28,55,55,2.6,2.6,100000
total time: 273.02 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
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 26, 2010 04:54:09 UTC 2010 年 10 月 26 日 (火) 13 時 54 分 9 秒 (日本時間)
403e6960110Ignacio SantosOctober 26, 2010 04:54:09 UTC 2010 年 10 月 26 日 (火) 13 時 54 分 9 秒 (日本時間)
850Ignacio SantosNovember 17, 2010 19:49:56 UTC 2010 年 11 月 18 日 (木) 4 時 49 分 56 秒 (日本時間)
4511e6422232Ignacio SantosOctober 26, 2010 04:54:09 UTC 2010 年 10 月 26 日 (火) 13 時 54 分 9 秒 (日本時間)
190Ignacio SantosNovember 17, 2010 19:49:56 UTC 2010 年 11 月 18 日 (木) 4 時 49 分 56 秒 (日本時間)
4000Wataru SakaiDecember 8, 2010 09:40:50 UTC 2010 年 12 月 8 日 (水) 18 時 40 分 50 秒 (日本時間)
5043e658 / 6567Ignacio SantosNovember 17, 2010 19:49:56 UTC 2010 年 11 月 18 日 (木) 4 時 49 分 56 秒 (日本時間)

76×10200+419

c136

name 名前Robert Backstrom
date 日付May 2, 2012 05:50:13 UTC 2012 年 5 月 2 日 (水) 14 時 50 分 13 秒 (日本時間)
composite number 合成数
5629017292747570936860630591751476066411401832269844688949294252362342751166826890827906031272069414186040963091406733609690878993301137<136>
prime factors 素因数
1187444406497269774209625782864716400988073778739<49>
4740447015411928194181114888331345736069866821469824891901452614149025146874022253962283<88>
factorization results 素因数分解の結果
Number: n
N=5629017292747570936860630591751476066411401832269844688949294252362342751166826890827906031272069414186040963091406733609690878993301137
  ( 136 digits)
Divisors found:

Wed May  2 15:39:13 2012  prp49 factor: 1187444406497269774209625782864716400988073778739
Wed May  2 15:39:13 2012  prp88 factor: 4740447015411928194181114888331345736069866821469824891901452614149025146874022253962283
Wed May  2 15:39:13 2012  elapsed time 03:47:06 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.076).
Factorization parameters were as follows:
name: KA_84449_200
# Murphy_E = 3.911e-11, selected by Erik Branger
n: 5629017292747570936860630591751476066411401832269844688949294252362342751166826890827906031272069414186040963091406733609690878993301137
Y0: -307723703610693035361703314
Y1: 659066889421613
c0: 164232114935001186007629420739973575
c1: 890771517372036642986356194337
c2: 132406645132647875874579
c3: -106958781328739797
c4: -5128185094
c5: 2040
skew: 4309074.4
type: gnfs
# selected mechanically
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 11600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2580070 hash collisions in 24563570 relations (22706198 unique)
Msieve: matrix is 1446096 x 1446322 (421.7 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:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,14000000,14000000,28,28,55,55,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2010 11:00:00 UTC 2010 年 10 月 25 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 22:21:04 UTC 2010 年 10 月 26 日 (火) 7 時 21 分 4 秒 (日本時間)
403e6860110Ignacio SantosOctober 25, 2010 22:21:04 UTC 2010 年 10 月 26 日 (火) 7 時 21 分 4 秒 (日本時間)
750Ignacio SantosNovember 16, 2010 20:47:06 UTC 2010 年 11 月 17 日 (水) 5 時 47 分 6 秒 (日本時間)
4511e6424632Ignacio SantosOctober 25, 2010 22:21:04 UTC 2010 年 10 月 26 日 (火) 7 時 21 分 4 秒 (日本時間)
214Ignacio SantosNovember 16, 2010 20:47:06 UTC 2010 年 11 月 17 日 (水) 5 時 47 分 6 秒 (日本時間)
4000Wataru SakaiDecember 5, 2010 06:24:21 UTC 2010 年 12 月 5 日 (日) 15 時 24 分 21 秒 (日本時間)
5043e658 / 6566Ignacio SantosNovember 16, 2010 20:47:06 UTC 2010 年 11 月 17 日 (水) 5 時 47 分 6 秒 (日本時間)

76×10203+419

c149

composite cofactor 合成数の残り
29578501389794985528832236530521317431670509531397818626958864513912201138591344295380797918194612326043193559273219873975313432502326242028391153653<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 03:41:54 UTC 2012 年 11 月 19 日 (月) 12 時 41 分 54 秒 (日本時間)
403e630002000Warut RoonguthaiNovember 19, 2012 03:41:54 UTC 2012 年 11 月 19 日 (月) 12 時 41 分 54 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:06:25 UTC 2012 年 11 月 28 日 (水) 1 時 6 分 25 秒 (日本時間)
4511e6300 / 3766Serge BatalovMay 27, 2014 00:36:27 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 27 秒 (日本時間)

76×10204+419

c170

name 名前Warut Roonguthai
date 日付November 18, 2012 10:33:48 UTC 2012 年 11 月 18 日 (日) 19 時 33 分 48 秒 (日本時間)
composite number 合成数
56262234245654977743665320910168003962956874626041344909047677336279909700860923182270069309282213710695523313385661908032501050755415175200025319724214508813034871085183<170>
prime factors 素因数
6586932269851828098387209969021<31>
composite cofactor 合成数の残り
8541492752728818777948207828548491154013482186348177914253876534072375724988220498586192296267311833058171359454555764878300017075656023723<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3102270699
Step 1 took 7815ms
Step 2 took 5788ms
********** Factor found in step 2: 6586932269851828098387209969021
Found probable prime factor of 31 digits: 6586932269851828098387209969021
Composite cofactor 8541492752728818777948207828548491154013482186348177914253876534072375724988220498586192296267311833058171359454555764878300017075656023723 has 139 digits
software ソフトウェア
GMP-ECM 6.3

c139

name 名前Erik Branger
date 日付December 12, 2012 17:13:44 UTC 2012 年 12 月 13 日 (木) 2 時 13 分 44 秒 (日本時間)
composite number 合成数
8541492752728818777948207828548491154013482186348177914253876534072375724988220498586192296267311833058171359454555764878300017075656023723<139>
prime factors 素因数
66865901117487886898820983781417705251821292046416024442427<59>
127740636258245310309301775510275901218952984560950292562703766194645989376762449<81>
factorization results 素因数分解の結果
Number: 84449_204
N = 8541492752728818777948207828548491154013482186348177914253876534072375724988220498586192296267311833058171359454555764878300017075656023723 (139 digits)
Divisors found:
r1=66865901117487886898820983781417705251821292046416024442427 (pp59)
r2=127740636258245310309301775510275901218952984560950292562703766194645989376762449 (pp81)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 334.37 hours.
Factorization parameters were as follows:
# Murphy_E = 2.648e-11, selected by Erik Branger
n: 8541492752728818777948207828548491154013482186348177914253876534072375724988220498586192296267311833058171359454555764878300017075656023723
Y0: -996055235772889056684675265
Y1: 414022704456563
c0: 3239902375113975139209775165324416
c1: 61296063911449691561308026904
c2: 173661075787011309764334
c3: 35015516051827035
c4: -58079121334
c5: 8712
skew: 1556926.37
type: gnfs
# selected mechanically
rlim: 17100000
alim: 17100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8550000, 22650000)
Relations: 23533694
Relations in full relation-set: 4234854 relations
Pruned matrix : 2588549 x 2588790
Polynomial selection time: 0.00 hours.
Total sieving time: 328.20 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 5.68 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,17100000,17100000,28,28,55,55,2.6,2.6,100000
total time: 334.37 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 18, 2012 23:32:48 UTC 2012 年 11 月 19 日 (月) 8 時 32 分 48 秒 (日本時間)
403e63000Warut RoonguthaiNovember 18, 2012 23:32:48 UTC 2012 年 11 月 19 日 (月) 8 時 32 分 48 秒 (日本時間)

76×10205+419

c206

name 名前Jo Yeong Uk
date 日付March 31, 2013 22:11:02 UTC 2013 年 4 月 1 日 (月) 7 時 11 分 2 秒 (日本時間)
composite number 合成数
84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<206>
prime factors 素因数
71540488551579308978479803008307806403523457962620129487332977610467389674474059604506386001<92>
1180372767283545076309385793663189642028452447258532963105115838371748093089044596437877049091432092939948897130449<115>
factorization results 素因数分解の結果
Number: 84449_205
N=84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
  ( 206 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=71540488551579308978479803008307806403523457962620129487332977610467389674474059604506386001
 r2=1180372767283545076309385793663189642028452447258532963105115838371748093089044596437877049091432092939948897130449
Version: 
Total time: 623.69 hours.
Scaled time: 2286.45 units (timescale=3.666).
Factorization parameters were as follows:
n: 84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
m: 100000000000000000000000000000000000000000
deg: 5
c5: 76
c0: 41
skew: 0.88
# Murphy_E = 7.004e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [11000000, 28300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 42072043
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4225499 x 4225745
Total sieving time: 559.45 hours.
Total relation processing time: 13.33 hours.
Matrix solve time: 49.28 hours.
Time per square root: 1.63 hours.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,56,56,2.6,2.6,100000
total time: 623.69 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991268k/38797312k available (5221k kernel code, 1057684k absent, 748360k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.81 BogoMIPS (lpj=3333406)
Total of 12 processors activated (80001.74 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)       Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:16:53 UTC 2012 年 11 月 19 日 (月) 20 時 16 分 53 秒 (日本時間)
403e620451000Dmitry DomanovNovember 27, 2012 16:06:41 UTC 2012 年 11 月 28 日 (水) 1 時 6 分 41 秒 (日本時間)
1045Jo Yeong UkFebruary 13, 2013 00:04:58 UTC 2013 年 2 月 13 日 (水) 9 時 4 分 58 秒 (日本時間)
4511e63977Jo Yeong UkMarch 1, 2013 10:47:48 UTC 2013 年 3 月 1 日 (金) 19 時 47 分 48 秒 (日本時間)

76×10206+419

c177

name 名前Warut Roonguthai
date 日付November 18, 2012 17:55:34 UTC 2012 年 11 月 19 日 (月) 2 時 55 分 34 秒 (日本時間)
composite number 合成数
388775133223309195651547957194714537282372279302792752573361647681506304337034686013288103468957579911510798912491895323521912728274224575841970014804325695666065635497386135377<177>
prime factors 素因数
82480469370459364038985895654400373<35>
4713541717095880344290701745201242536433009315988943453748639246236922304191114502871506722758443256428173692319128398527246621974040255872749<142>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1885688216
Step 1 took 10015ms
Step 2 took 6396ms
********** Factor found in step 2: 82480469370459364038985895654400373
Found probable prime factor of 35 digits: 82480469370459364038985895654400373
Probable prime cofactor 4713541717095880344290701745201242536433009315988943453748639246236922304191114502871506722758443256428173692319128398527246621974040255872749 has 142 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)

76×10208+419

c201

composite cofactor 合成数の残り
141620746805691460461068706123338574648225669450461523314310877481303073876091934787112822786415462849463096266689783495704994844647969259498077181858377936494049422412800217677348968101289509019827507<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:17:22 UTC 2012 年 11 月 19 日 (月) 20 時 17 分 22 秒 (日本時間)
403e61000Dmitry DomanovNovember 27, 2012 16:06:50 UTC 2012 年 11 月 28 日 (水) 1 時 6 分 50 秒 (日本時間)
4511e6613 / 4208313CypJanuary 7, 2014 15:25:21 UTC 2014 年 1 月 8 日 (水) 0 時 25 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:27 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 27 秒 (日本時間)

76×10209+419

c180

composite cofactor 合成数の残り
318475090740308664063991591426684357549897668343950851018819548769535732067402515664637003268454537382579210377693723129985555981750809065424151591683110898387217243916937491334943<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:17:29 UTC 2012 年 11 月 19 日 (月) 20 時 17 分 29 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:06:59 UTC 2012 年 11 月 28 日 (水) 1 時 6 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:32 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:47 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 47 秒 (日本時間)

76×10212+419

c170

composite cofactor 合成数の残り
10395539595833081384405051851380773991340714909648307380924732341888911148299855472433961321130621294571885152006190872913140395586759681476516340435606013625573536699219<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:17:40 UTC 2012 年 11 月 19 日 (月) 20 時 17 分 40 秒 (日本時間)
403e61000Dmitry DomanovNovember 27, 2012 16:07:12 UTC 2012 年 11 月 28 日 (水) 1 時 7 分 12 秒 (日本時間)
4511e6700 / 4208400Dmitry DomanovDecember 3, 2012 19:57:24 UTC 2012 年 12 月 4 日 (火) 4 時 57 分 24 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:28 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 28 秒 (日本時間)

76×10213+419

c208

composite cofactor 合成数の残り
1399920399789267771819090276095801047438863127590531977304122078511183181223692893862216629171824958889771759741019146840247954638010885523148687700802233595101870089192060071468515209978573665681067445199241<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:18:05 UTC 2012 年 11 月 19 日 (月) 20 時 18 分 5 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:07:20 UTC 2012 年 11 月 28 日 (水) 1 時 7 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:32 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:47 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 47 秒 (日本時間)

76×10214+419

c208

composite cofactor 合成数の残り
4824500019764580015180289312189251017764780320803478327396881279408144557154286945657726849085963874512037530648985331152126090187032344470164742773497271875373363136809165955862287109970040680120686391520733<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:18:13 UTC 2012 年 11 月 19 日 (月) 20 時 18 分 13 秒 (日本時間)
403e613001000Dmitry DomanovNovember 27, 2012 16:07:28 UTC 2012 年 11 月 28 日 (水) 1 時 7 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:33 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 33 秒 (日本時間)
4511e6516 / 4142216CypFebruary 18, 2014 19:39:37 UTC 2014 年 2 月 19 日 (水) 4 時 39 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:28 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 28 秒 (日本時間)

76×10216+419

c176

composite cofactor 合成数の残り
18885454001776353657721785171484300042808585570113552284163745226638241675340565883144109934571147367072390150271424159629086414540554949959883423014080247119907308481614859487<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:18:19 UTC 2012 年 11 月 19 日 (月) 20 時 18 分 19 秒 (日本時間)
403e61000Dmitry DomanovNovember 27, 2012 16:07:36 UTC 2012 年 11 月 28 日 (水) 1 時 7 分 36 秒 (日本時間)
4511e6700 / 4208400Dmitry DomanovDecember 3, 2012 19:57:47 UTC 2012 年 12 月 4 日 (火) 4 時 57 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:28 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 28 秒 (日本時間)

76×10217+419

c211

composite cofactor 合成数の残り
8512114906741549085519415243690257623525711498284657644250471265961713470362479117178098610588764059843796643379648310548473755956926413741044373106201435234414516408439900811909040122514421846683392748455389949<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:18:27 UTC 2012 年 11 月 19 日 (月) 20 時 18 分 27 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:07:45 UTC 2012 年 11 月 28 日 (水) 1 時 7 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:34 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:48 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 48 秒 (日本時間)

76×10218+419

c201

composite cofactor 合成数の残り
599102287741664784995997039946145347678794260952190207432820854128101231497201202809454202929370462536354089319733087588781384742161062457875677921093420832136176320817220325449417016609929482516110353<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:18:44 UTC 2012 年 11 月 19 日 (月) 20 時 18 分 44 秒 (日本時間)
403e613001000Dmitry DomanovNovember 27, 2012 16:07:56 UTC 2012 年 11 月 28 日 (水) 1 時 7 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:35 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 35 秒 (日本時間)
4511e6516 / 4142216CypMarch 10, 2014 07:33:34 UTC 2014 年 3 月 10 日 (月) 16 時 33 分 34 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:29 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 29 秒 (日本時間)

76×10219+419

c198

composite cofactor 合成数の残り
867233518586283842447634633934495631997058811046776760828024485041384866194334478798176408394262267278970405704888465487276364573604984242125935492268142113144112333460971021737398692987899913651703<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:18:57 UTC 2012 年 11 月 19 日 (月) 20 時 18 分 57 秒 (日本時間)
403e613001000Dmitry DomanovNovember 27, 2012 16:08:03 UTC 2012 年 11 月 28 日 (水) 1 時 8 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:36 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 36 秒 (日本時間)
4511e6516 / 4142216CypFebruary 15, 2014 02:15:08 UTC 2014 年 2 月 15 日 (土) 11 時 15 分 8 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:29 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 29 秒 (日本時間)

76×10220+419

c215

name 名前Bob Backstrom
date 日付April 28, 2018 03:28:15 UTC 2018 年 4 月 28 日 (土) 12 時 28 分 15 秒 (日本時間)
composite number 合成数
80362587535741525157137937200233009207754947401100354155808465077750274739596137816339130965322803296600229012226427511835770170189984558751765994296159609403987697333770252032935549099056088539269337009710232599993<215>
prime factors 素因数
210800729487472597895312152380926638931131580998644256563990502899991<69>
381225376833989033919583609649015624030152815527819759864852001882557519441353939677518574110468701397559596763501312422236632132292265202857122223<147>
factorization results 素因数分解の結果
Number: n
N=80362587535741525157137937200233009207754947401100354155808465077750274739596137816339130965322803296600229012226427511835770170189984558751765994296159609403987697333770252032935549099056088539269337009710232599993
  ( 215 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sat Apr 28 13:19:02 2018  p69 factor: 210800729487472597895312152380926638931131580998644256563990502899991
Sat Apr 28 13:19:02 2018  p147 factor: 381225376833989033919583609649015624030152815527819759864852001882557519441353939677518574110468701397559596763501312422236632132292265202857122223
Sat Apr 28 13:19:02 2018  elapsed time 14:47:06 (Msieve 1.53 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# 76x10^220+41 = 84(219)9
#
n: 80362587535741525157137937200233009207754947401100354155808465077750274739596137816339130965322803296600229012226427511835770170189984558751765994296159609403987697333770252032935549099056088539269337009710232599993
m: 10000000000000000000000000000000000000
deg: 6
c6: 19
c0: 1025
skew: 1.94
# Murphy_E = 1.382e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 122500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15277109 hash collisions in 70772562 relations (55577610 unique)
Msieve: matrix is 5766161 x 5766386 (1651.3 MB)

Sieving start time: 2018/04/24 12:26:46
Sieving end time  : 2018/04/27 22:29:45

Total sieving time: 82hrs 2min 59secs.

Total relation processing time: 13hrs 53min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 31min 25sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16292580K/16703460K available (12300K kernel code, 2482K rwdata, 4000K rodata, 2376K init, 2372K bss, 410880K reserved, 0K cma-reserved)
[    0.100643] x86/mm: Memory block size: 128MB
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.48 BogoMIPS (lpj=11976968)
[    0.098224] smpboot: Total of 16 processors activated (95815.74 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:19:04 UTC 2012 年 11 月 19 日 (月) 20 時 19 分 4 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:08:11 UTC 2012 年 11 月 28 日 (水) 1 時 8 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:36 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:48 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 48 秒 (日本時間)

76×10224+419

c188

composite cofactor 合成数の残り
82548530762629676895488360762341276768323706811945157012698752926837525141751214656327364397300552798333064966651239530881297937486494843734307292111946260895281343196241965383400670267497<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:19:18 UTC 2012 年 11 月 19 日 (月) 20 時 19 分 18 秒 (日本時間)
403e613001000Dmitry DomanovNovember 27, 2012 16:08:20 UTC 2012 年 11 月 28 日 (水) 1 時 8 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:37 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 37 秒 (日本時間)
4511e6516 / 4142216CypMarch 9, 2014 18:35:39 UTC 2014 年 3 月 10 日 (月) 3 時 35 分 39 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:30 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 30 秒 (日本時間)

76×10225+419

c208

name 名前Warut Roonguthai
date 日付November 18, 2012 13:06:02 UTC 2012 年 11 月 18 日 (日) 22 時 6 分 2 秒 (日本時間)
composite number 合成数
5061582631233776511900753343350219016972835633436136527906352991112609120317240528040783575772696974061257580647586557225583198763681642429151120677751322409750807281811362112537302686427551838419248488610861<208>
prime factors 素因数
7002819783725308700204156351261<31>
composite cofactor 合成数の残り
722792073415482486166087674258152223454000945468659895031519078606315138781445646301950493322704242638826753790032856043630547144369731983491929500785327018569991971814892523601<177>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2869418517
Step 1 took 11716ms
Step 2 took 6973ms
********** Factor found in step 2: 7002819783725308700204156351261
Found probable prime factor of 31 digits: 7002819783725308700204156351261
Composite cofactor 722792073415482486166087674258152223454000945468659895031519078606315138781445646301950493322704242638826753790032856043630547144369731983491929500785327018569991971814892523601 has 177 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:19:25 UTC 2012 年 11 月 19 日 (月) 20 時 19 分 25 秒 (日本時間)
403e61000Dmitry DomanovNovember 27, 2012 16:08:28 UTC 2012 年 11 月 28 日 (水) 1 時 8 分 28 秒 (日本時間)
4511e6700 / 4208400Dmitry DomanovDecember 3, 2012 19:58:01 UTC 2012 年 12 月 4 日 (火) 4 時 58 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:30 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 30 秒 (日本時間)

76×10226+419

c219

composite cofactor 合成数の残り
150495918000502631415482641863491451035912384078140433514188891882549729335992482936421824978464425225493930013782651815410268614150143005468833342219820259845907463224000145947772941771651891336845392016883078816547713<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:19:32 UTC 2012 年 11 月 19 日 (月) 20 時 19 分 32 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:08:37 UTC 2012 年 11 月 28 日 (水) 1 時 8 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:38 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 38 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:48 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 48 秒 (日本時間)

76×10227+419

c219

composite cofactor 合成数の残り
125806581674107568864728781721564039572977595497177787682301514713542637070199334139178089181184517215603284443531852108799214263049150501173915639974246275701292895287765414184465502791333804026971897709181195503109813<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:19:39 UTC 2012 年 11 月 19 日 (月) 20 時 19 分 39 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:08:45 UTC 2012 年 11 月 28 日 (水) 1 時 8 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:39 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 39 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:49 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 49 秒 (日本時間)

76×10228+419

c211

name 名前Dmitry Domanov
date 日付November 27, 2012 13:26:55 UTC 2012 年 11 月 27 日 (火) 22 時 26 分 55 秒 (日本時間)
composite number 合成数
6891111864477393504782658836510391065140085310674190000424447960366062737798133114903943686813719380000345959929930759056542265724063849705235616076126234496437256229350388563183901321351394506253524524573204589<211>
prime factors 素因数
210624518712251065162611375119408615677<39>
32717519814926319105558946700803919865992892419242024884893727769197933381844782938961747450903061474624439554791724400578022400082957320019163944417509918653585966304043057<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2218062947
Step 1 took 37671ms
Step 2 took 13430ms
********** Factor found in step 2: 210624518712251065162611375119408615677
Found probable prime factor of 39 digits: 210624518712251065162611375119408615677

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:19:46 UTC 2012 年 11 月 19 日 (月) 20 時 19 分 46 秒 (日本時間)

76×10229+419

c126

name 名前Warut Roonguthai
date 日付November 22, 2012 11:18:39 UTC 2012 年 11 月 22 日 (木) 20 時 18 分 39 秒 (日本時間)
composite number 合成数
477305118309058132536935389125079930826364602762286290335258566302992921120755505674751731576443690927413180952750804689674343<126>
prime factors 素因数
140359672720858191571546057563557984464015713781674619349<57>
3400585859574521943313418614516022914054730058512785905205205837196107<70>
factorization results 素因数分解の結果
N = 477305118309058132536935389125079930826364602762286290335258566302992921120755505674751731576443690927413180952750804689674343 (126 digits)
Divisors found:
r1=140359672720858191571546057563557984464015713781674619349 (pp57)
r2=3400585859574521943313418614516022914054730058512785905205205837196107 (pp70)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 15.98 hours.
Factorization parameters were as follows:
n: 477305118309058132536935389125079930826364602762286290335258566302992921120755505674751731576443690927413180952750804689674343
Y0: -2591951895015919197134652
Y1: 24554291844851
c0: -13854018414623510671987612455535
c1: 236628099826147838463103999
c2: -662213573948673214161
c3: -3248970128157439
c4: 1232877136
c5: 4080
skew: 434012.18 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18540673
Relations: 1973136 relations
Pruned matrix : 1099289 x 1099522
Polynomial selection time: 0.00 hours.
Total sieving time: 14.64 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.87 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 15.98 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)

76×10232+419

c182

composite cofactor 合成数の残り
14201609725244542726719736524393854662663802686208861851640438786831804803378306987594397781521932355255770690046153403074012881214145655224306856010013655576530382365179915122002967<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:20:08 UTC 2012 年 11 月 19 日 (月) 20 時 20 分 8 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:09:04 UTC 2012 年 11 月 28 日 (水) 1 時 9 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:39 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 39 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:49 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 49 秒 (日本時間)

76×10233+419

c199

composite cofactor 合成数の残り
2311222487438144290033773570423544254971399968068281014485736467809665973513612476538392975411535344461981158472920872827508456224008646107703114408426258730205763749630847349969913039754532817011831<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:20:15 UTC 2012 年 11 月 19 日 (月) 20 時 20 分 15 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:09:12 UTC 2012 年 11 月 28 日 (水) 1 時 9 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:40 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:50 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 50 秒 (日本時間)

76×10234+419

c215

composite cofactor 合成数の残り
52164982599563784281279648906053536019746080673471725649547943540261394489808665630462661211471848525939573960014947709421984462669299234143686059796024632829227065778626386070115625233390841284299754546911074668023<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:20:22 UTC 2012 年 11 月 19 日 (月) 20 時 20 分 22 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:09:20 UTC 2012 年 11 月 28 日 (水) 1 時 9 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:41 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 41 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:50 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 50 秒 (日本時間)

76×10235+419

c224

name 名前Dmitry Domanov
date 日付November 27, 2012 06:48:51 UTC 2012 年 11 月 27 日 (火) 15 時 48 分 51 秒 (日本時間)
composite number 合成数
90722347341818577775125820032673205219597801622320098823074781346361741976433479728080083447492742344778595565591331675259116058628032538413629694908884473066362923179347455100192180329589095287067564990062798656841828155697<224>
prime factors 素因数
1356452790074256340236848182612636613383<40>
66882052958770619134397187729277305282971686374527407712788835944671023723286437886767182549781756516492808320977291526556550767855135481405957074717535652909496418658775811312140106759<185>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=739384811
Step 1 took 42704ms
********** Factor found in step 1: 1356452790074256340236848182612636613383
Found probable prime factor of 40 digits: 1356452790074256340236848182612636613383

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:20:30 UTC 2012 年 11 月 19 日 (月) 20 時 20 分 30 秒 (日本時間)

76×10236+419

c185

name 名前Warut Roonguthai
date 日付November 18, 2012 23:18:06 UTC 2012 年 11 月 19 日 (月) 8 時 18 分 6 秒 (日本時間)
composite number 合成数
10053061333010997749024379323300509990217885474861957710180308329940025976055507430690634885971376994241968638777775186115712446531658025183827822214139421407907618537352123082956976621<185>
prime factors 素因数
2017956372492561284381118203268261671<37>
4981803110338578920705308174489162079550893608624536232925164290485739885673423399264191465327500963767412702350829000649663146252373339482254453451<148>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=918668978
Step 1 took 10171ms
Step 2 took 6302ms
********** Factor found in step 2: 2017956372492561284381118203268261671
Found probable prime factor of 37 digits: 2017956372492561284381118203268261671
Probable prime cofactor 4981803110338578920705308174489162079550893608624536232925164290485739885673423399264191465327500963767412702350829000649663146252373339482254453451 has 148 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)

76×10237+419

c171

composite cofactor 合成数の残り
300371172071592872968573244858387273053343497968546102557748568551448334039949871414927826847079568340806766475149905560646618134871074838438674849624462894387765920997459<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:20:45 UTC 2012 年 11 月 19 日 (月) 20 時 20 分 45 秒 (日本時間)
403e61000Dmitry DomanovNovember 27, 2012 16:09:31 UTC 2012 年 11 月 28 日 (水) 1 時 9 分 31 秒 (日本時間)
4511e6700 / 4208400Dmitry DomanovDecember 3, 2012 19:58:24 UTC 2012 年 12 月 4 日 (火) 4 時 58 分 24 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:31 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 31 秒 (日本時間)

76×10239+419

c147

composite cofactor 合成数の残り
754596223369355420408072821555742652282689236781061875795656265507635473933152029929919934298764598958415576354720696398875912951069565197547522339<147>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2012 17:25:37 UTC 2012 年 11 月 19 日 (月) 2 時 25 分 37 秒 (日本時間)
403e63110110Ignacio SantosNovember 18, 2012 17:25:37 UTC 2012 年 11 月 19 日 (月) 2 時 25 分 37 秒 (日本時間)
2000Warut RoonguthaiNovember 19, 2012 07:33:31 UTC 2012 年 11 月 19 日 (月) 16 時 33 分 31 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:09:40 UTC 2012 年 11 月 28 日 (水) 1 時 9 分 40 秒 (日本時間)
4511e6377832Ignacio SantosNovember 18, 2012 17:25:37 UTC 2012 年 11 月 19 日 (月) 2 時 25 分 37 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:33 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 33 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:40 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 40 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:44 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 44 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:31 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 31 秒 (日本時間)
1296Ignacio SantosJanuary 10, 2016 23:55:57 UTC 2016 年 1 月 11 日 (月) 8 時 55 分 57 秒 (日本時間)

76×10241+419

c200

composite cofactor 合成数の残り
60063620939620936005565153706363667428312010519515904302795030903799497994547144861598462428267276559786513406782802306238989935715336310217726157298296911954955533278125183718521616470572724583965929<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:20:58 UTC 2012 年 11 月 19 日 (月) 20 時 20 分 58 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:09:49 UTC 2012 年 11 月 28 日 (水) 1 時 9 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:42 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 42 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:51 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 51 秒 (日本時間)

76×10246+419

c240

composite cofactor 合成数の残り
769892167383512250701445208147084008597142709329349668135448709312756465896314590014743738910197174145242163148598822087270255439989676151241790986777172936308857154541558946343003594292234230412699784611522998355581241589497892840593431667<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:21:13 UTC 2012 年 11 月 19 日 (月) 20 時 21 分 13 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:09:59 UTC 2012 年 11 月 28 日 (水) 1 時 9 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:43 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:51 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 51 秒 (日本時間)

76×10247+419

c214

composite cofactor 合成数の残り
5171392475276715358980314743934072635454145494075221225465013152659494318182684638714790860849459006556184150297973834978122823491664096321448148739913425111396752496483209849278860072939126207074310162664720279813<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:21:19 UTC 2012 年 11 月 19 日 (月) 20 時 21 分 19 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:10:06 UTC 2012 年 11 月 28 日 (水) 1 時 10 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:44 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 44 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:51 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 51 秒 (日本時間)

76×10248+419

c233

name 名前Serge Batalov
date 日付May 19, 2014 01:08:53 UTC 2014 年 5 月 19 日 (月) 10 時 8 分 53 秒 (日本時間)
composite number 合成数
12310693435871265272693350933667960972469365684644763297748477053049184336725771536467278942169811736977730569711175417276354128374156116556830024315631803093471295153142511479648183171021913732725744530293066177928392445433467894861<233>
prime factors 素因数
71291864747936272760026795634675195953<38>
172680199618815975836158949734914856041262197499449657322660534160508903582343253731788346807609733330625642160547442591608528962151999119032771138201061012473690202023099056848472760289908118237<195>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3149261075
Step 1 took 78213ms
Step 2 took 33159ms
********** Factor found in step 2: 71291864747936272760026795634675195953
Found probable prime factor of 38 digits: 71291864747936272760026795634675195953
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:21:26 UTC 2012 年 11 月 19 日 (月) 20 時 21 分 26 秒 (日本時間)
403e61300 / 20451000Dmitry DomanovNovember 27, 2012 16:10:14 UTC 2012 年 11 月 28 日 (水) 1 時 10 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:44 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 44 秒 (日本時間)

76×10249+419

c211

composite cofactor 合成数の残り
1203419307039666228668192215969166404735503459308127855556689651187943448316976384031499112986650869257331177973331294885243419084649558680775110832475878906642751271541106004316488938050962228535137398118368261<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 18, 2012 01:00:00 UTC 2012 年 11 月 18 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 19, 2012 11:21:33 UTC 2012 年 11 月 19 日 (月) 20 時 21 分 33 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:10:22 UTC 2012 年 11 月 28 日 (水) 1 時 10 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:45 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:52 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 52 秒 (日本時間)