Table of contents 目次

6×10111-7

c108

name 名前Jo Yeong Uk
date 日付October 3, 2007 04:38:44 UTC 2007 年 10 月 3 日 (水) 13 時 38 分 44 秒 (日本時間)
composite number 合成数
190482237531350201593701387345630020000634940791771167338645671291152100066668783135972570557795485570970507<108>
prime factors 素因数
360964079692659801539218828060656161476910423250161<51>
527704135252280213728502010679882140961843051369612566587<57>
factorization results 素因数分解の結果
Number: 59993_111
N=190482237531350201593701387345630020000634940791771167338645671291152100066668783135972570557795485570970507
  ( 108 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=360964079692659801539218828060656161476910423250161 (pp51)
 r2=527704135252280213728502010679882140961843051369612566587 (pp57)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.71 hours.
Scaled time: 1.53 units (timescale=2.145).
Factorization parameters were as follows:
n: 190482237531350201593701387345630020000634940791771167338645671291152100066668783135972570557795485570970507
m: 10000000000000000000000
c5: 60
c0: -7
skew: 0.65
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 320001)
Primes: RFBsize:30757, AFBsize:30694, largePrimes:1074870 encountered
Relations: rels:1007128, finalFF:101389
Max relations in full relation-set: 28
Initial matrix: 61518 x 101389 with sparse part having weight 4955758.
Pruned matrix : 50735 x 51106 with weight 1760939.
Total sieving time: 0.68 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.71 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10122-7

c122

name 名前Jo Yeong Uk
date 日付October 3, 2007 06:14:09 UTC 2007 年 10 月 3 日 (水) 15 時 14 分 9 秒 (日本時間)
composite number 合成数
20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517<122>
prime factors 素因数
68004493287578401111324018574258290351<38>
304239531422152873078652750157120871113171209374964566110469309352350285844274312067<84>
factorization results 素因数分解の結果
Number: 59993_122
N=20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517
  ( 122 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=68004493287578401111324018574258290351 (pp38)
 r2=304239531422152873078652750157120871113171209374964566110469309352350285844274312067 (pp84)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.52 hours.
Scaled time: 3.26 units (timescale=2.144).
Factorization parameters were as follows:
n: 20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517
m: 2000000000000000000000000
c5: 75
c0: -28
skew: 0.82
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [400000, 720001)
Primes: RFBsize:63951, AFBsize:63523, largePrimes:1389910 encountered
Relations: rels:1372098, finalFF:158574
Max relations in full relation-set: 28
Initial matrix: 127540 x 158574 with sparse part having weight 7799698.
Pruned matrix : 114540 x 115241 with weight 4337757.
Total sieving time: 1.46 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,123,5,0,0,0,0,0,0,0,0,800000,800000,25,25,45,45,2.2,2.2,40000
total time: 1.52 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10123-7

c116

name 名前Sinkiti Sibata
date 日付October 3, 2007 17:46:22 UTC 2007 年 10 月 4 日 (木) 2 時 46 分 22 秒 (日本時間)
composite number 合成数
21380974553871444688254468890053067115588260258501612679604952428097769224215962068469171433819236054429504159841429<116>
prime factors 素因数
419726743015322283340796841866026105998611897<45>
50940224585810878707118381444742680923300871417714179798205170107648957<71>
factorization results 素因数分解の結果
Number: 59993_123
N=21380974553871444688254468890053067115588260258501612679604952428097769224215962068469171433819236054429504159841429
  ( 116 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=419726743015322283340796841866026105998611897 (pp45)
 r2=50940224585810878707118381444742680923300871417714179798205170107648957 (pp71)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 3.06 hours.
Scaled time: 2.07 units (timescale=0.677).
Factorization parameters were as follows:
name: 59993_123
n: 21380974553871444688254468890053067115588260258501612679604952428097769224215962068469171433819236054429504159841429
m: 2000000000000000000000000
c5: 375
c0: -14
skew: 0.52
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64283, largePrimes:2107214 encountered
Relations: rels:2116210, finalFF:152007
Max relations in full relation-set: 28
Initial matrix: 113447 x 152007 with sparse part having weight 13697410.
Pruned matrix : 103414 x 104045 with weight 7180122.
Total sieving time: 2.74 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.06 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

6×10125-7

c114

name 名前Robert Backstrom
date 日付October 3, 2007 12:45:11 UTC 2007 年 10 月 3 日 (水) 21 時 45 分 11 秒 (日本時間)
composite number 合成数
656571830053196187799904164772922496545495954469135406953399630781207858546981712113037834474688778028156765148877<114>
prime factors 素因数
50636596327829583320839536142290785563<38>
12966349985343467300064590701602747532440337222241547532187032604088384653879<77>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 656571830053196187799904164772922496545495954469135406953399630781207858546981712113037834474688778028156765148877 (114 digits)
Using B1=1280000, B2=1193444696, polynomial Dickson(6), sigma=459190221
Step 1 took 12391ms
Step 2 took 7594ms
********** Factor found in step 2: 50636596327829583320839536142290785563
Found probable prime factor of 38 digits: 50636596327829583320839536142290785563
Probable prime cofactor 12966349985343467300064590701602747532440337222241547532187032604088384653879 has 77 digits

6×10127-7

c90

name 名前Sinkiti Sibata
date 日付October 3, 2007 17:40:53 UTC 2007 年 10 月 4 日 (木) 2 時 40 分 53 秒 (日本時間)
composite number 合成数
300179562563939145447468893460840371948057004209201877467016267991673377504711137500631221<90>
prime factors 素因数
538379064288744086953750328027856177081161<42>
557561730154771569560097260837268094018249256461<48>
factorization results 素因数分解の結果
Wed Oct 03 15:19:24 2007  Msieve v. 1.26
Wed Oct 03 15:19:24 2007  random seeds: ee28c423 6aa74c56
Wed Oct 03 15:19:24 2007  factoring 300179562563939145447468893460840371948057004209201877467016267991673377504711137500631221 (90 digits)
Wed Oct 03 15:19:25 2007  commencing quadratic sieve (90-digit input)
Wed Oct 03 15:19:26 2007  using multiplier of 5
Wed Oct 03 15:19:26 2007  using 64kb Pentium 2 sieve core
Wed Oct 03 15:19:26 2007  sieve interval: 18 blocks of size 65536
Wed Oct 03 15:19:26 2007  processing polynomials in batches of 6
Wed Oct 03 15:19:26 2007  using a sieve bound of 1579619 (60000 primes)
Wed Oct 03 15:19:26 2007  using large prime bound of 126369520 (26 bits)
Wed Oct 03 15:19:26 2007  using double large prime bound of 382786039401520 (42-49 bits)
Wed Oct 03 15:19:26 2007  using trial factoring cutoff of 49 bits
Wed Oct 03 15:19:26 2007  polynomial 'A' values have 12 factors
Thu Oct 04 01:00:41 2007  60563 relations (16228 full + 44335 combined from 633835 partial), need 60096
Thu Oct 04 01:00:52 2007  begin with 650063 relations
Thu Oct 04 01:01:24 2007  reduce to 146669 relations in 10 passes
Thu Oct 04 01:01:24 2007  attempting to read 146669 relations
Thu Oct 04 01:01:38 2007  recovered 146669 relations
Thu Oct 04 01:01:38 2007  recovered 124245 polynomials
Thu Oct 04 01:02:13 2007  attempting to build 60563 cycles
Thu Oct 04 01:02:14 2007  found 60563 cycles in 6 passes
Thu Oct 04 01:02:17 2007  distribution of cycle lengths:
Thu Oct 04 01:02:17 2007     length 1 : 16228
Thu Oct 04 01:02:17 2007     length 2 : 11907
Thu Oct 04 01:02:17 2007     length 3 : 10599
Thu Oct 04 01:02:17 2007     length 4 : 8065
Thu Oct 04 01:02:17 2007     length 5 : 5670
Thu Oct 04 01:02:17 2007     length 6 : 3510
Thu Oct 04 01:02:18 2007     length 7 : 2163
Thu Oct 04 01:02:18 2007     length 9+: 2421
Thu Oct 04 01:02:18 2007  largest cycle: 19 relations
Thu Oct 04 01:02:20 2007  matrix is 60000 x 60563 with weight 3581602 (avg 59.14/col)
Thu Oct 04 01:02:25 2007  filtering completed in 3 passes
Thu Oct 04 01:02:25 2007  matrix is 55899 x 55963 with weight 3306276 (avg 59.08/col)
Thu Oct 04 01:02:28 2007  saving the first 48 matrix rows for later
Thu Oct 04 01:02:28 2007  matrix is 55851 x 55963 with weight 2583325 (avg 46.16/col)
Thu Oct 04 01:02:28 2007  matrix includes 64 packed rows
Thu Oct 04 01:02:28 2007  using block size 10922 for processor cache size 256 kB
Thu Oct 04 01:02:29 2007  commencing Lanczos iteration
Thu Oct 04 01:06:36 2007  lanczos halted after 885 iterations
Thu Oct 04 01:06:37 2007  recovered 17 nontrivial dependencies
Thu Oct 04 01:07:05 2007  prp42 factor: 538379064288744086953750328027856177081161
Thu Oct 04 01:07:05 2007  prp48 factor: 557561730154771569560097260837268094018249256461
Thu Oct 04 01:07:05 2007  elapsed time 09:47:41
execution environment 実行環境
Pentium3  750MHz,  Windows Me)

6×10128-7

c121

name 名前Sinkiti Sibata
date 日付October 3, 2007 23:25:33 UTC 2007 年 10 月 4 日 (木) 8 時 25 分 33 秒 (日本時間)
composite number 合成数
9143352172651724671661080561054985575066639417445336126160095189610799042575211729177505031243824903769647139905342227519<121>
prime factors 素因数
45062760365254252417196977668457049<35>
107331866482129355939909099089742932497167<42>
1890422922086710862023492300837255153472513593<46>
factorization results 素因数分解の結果
Number: 59993_128
N=9143352172651724671661080561054985575066639417445336126160095189610799042575211729177505031243824903769647139905342227519
  ( 121 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=45062760365254252417196977668457049 (pp35)
 r2=107331866482129355939909099089742932497167 (pp42)
 r3=1890422922086710862023492300837255153472513593 (pp46)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 5.27 hours.
Scaled time: 3.57 units (timescale=0.677).
Factorization parameters were as follows:
name: 59993_128
n: 9143352172651724671661080561054985575066639417445336126160095189610799042575211729177505031243824903769647139905342227519
m: 20000000000000000000000000
c5: 375
c0: -14
skew: 0.52
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:64283, largePrimes:1484571 encountered
Relations: rels:1488026, finalFF:176006
Max relations in full relation-set: 28
Initial matrix: 128300 x 176006 with sparse part having weight 12189392.
Pruned matrix : 113811 x 114516 with weight 6184426.
Total sieving time: 4.96 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.27 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

6×10130-7

c101

name 名前Jo Yeong Uk
date 日付October 3, 2007 13:56:43 UTC 2007 年 10 月 3 日 (水) 22 時 56 分 43 秒 (日本時間)
composite number 合成数
18127241984317287948259696060358425132269108005734409737154495900535745003233991139307777121631495983<101>
prime factors 素因数
41741913374238084153759348799228096820219<41>
434269551129510598310111242531747787622152307167204480286557<60>
factorization results 素因数分解の結果
Number: 59993_130
N=18127241984317287948259696060358425132269108005734409737154495900535745003233991139307777121631495983
  ( 101 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=41741913374238084153759348799228096820219 (pp41)
 r2=434269551129510598310111242531747787622152307167204480286557 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.61 hours.
Scaled time: 5.60 units (timescale=2.145).
Factorization parameters were as follows:
n: 18127241984317287948259696060358425132269108005734409737154495900535745003233991139307777121631495983
m: 100000000000000000000000000
c5: 6
c0: -7
skew: 1.03
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 1050001)
Primes: RFBsize:78498, AFBsize:78516, largePrimes:1562106 encountered
Relations: rels:1575211, finalFF:190100
Max relations in full relation-set: 28
Initial matrix: 157080 x 190100 with sparse part having weight 11252053.
Pruned matrix : 145006 x 145855 with weight 6877487.
Total sieving time: 2.51 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 2.61 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10131-7

c125

name 名前Jo Yeong Uk
date 日付October 3, 2007 23:48:40 UTC 2007 年 10 月 4 日 (木) 8 時 48 分 40 秒 (日本時間)
composite number 合成数
66746978113999611310097449475596804199185887107943546740850741408746145779182529734944412560401843507037523259931310684822883<125>
prime factors 素因数
12872498163753083570298872692434111691304047437203023579603<59>
5185238891853061753866196726218370889062130742679403097113868915761<67>
factorization results 素因数分解の結果
Number: 59993_131
N=66746978113999611310097449475596804199185887107943546740850741408746145779182529734944412560401843507037523259931310684822883
  ( 125 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=12872498163753083570298872692434111691304047437203023579603 (pp59)
 r2=5185238891853061753866196726218370889062130742679403097113868915761 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.84 hours.
Scaled time: 6.06 units (timescale=2.135).
Factorization parameters were as follows:
n: 66746978113999611310097449475596804199185887107943546740850741408746145779182529734944412560401843507037523259931310684822883
m: 100000000000000000000000000
c5: 60
c0: -7
skew: 0.65
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 1100001)
Primes: RFBsize:78498, AFBsize:78436, largePrimes:1617139 encountered
Relations: rels:1662134, finalFF:216620
Max relations in full relation-set: 28
Initial matrix: 157001 x 216620 with sparse part having weight 13625699.
Pruned matrix : 135783 x 136632 with weight 6867620.
Total sieving time: 2.75 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 2.84 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10132-7

c110

name 名前Sinkiti Sibata
date 日付October 4, 2007 08:30:49 UTC 2007 年 10 月 4 日 (木) 17 時 30 分 49 秒 (日本時間)
composite number 合成数
10503727509763587149462644038115572609411003558019047308296016303974338616397089884714139804160694574969979287<110>
prime factors 素因数
157220545256202605499721340161299887750890477<45>
66808873437291415726408144788722762650560407722248850407211168531<65>
factorization results 素因数分解の結果
Number: 59993_132
N=10503727509763587149462644038115572609411003558019047308296016303974338616397089884714139804160694574969979287
  ( 110 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=157220545256202605499721340161299887750890477 (pp45)
 r2=66808873437291415726408144788722762650560407722248850407211168531 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 8.23 hours.
Scaled time: 5.57 units (timescale=0.677).
Factorization parameters were as follows:
name: 59993_132
n: 10503727509763587149462644038115572609411003558019047308296016303974338616397089884714139804160694574969979287
m: 100000000000000000000000000
c5: 600
c0: -7
skew: 0.41
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1300001)
Primes: RFBsize:63951, AFBsize:63523, largePrimes:1546399 encountered
Relations: rels:1543966, finalFF:157068
Max relations in full relation-set: 28
Initial matrix: 127540 x 157068 with sparse part having weight 14736218.
Pruned matrix : 120366 x 121067 with weight 9730311.
Total sieving time: 7.77 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 8.23 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

6×10133-7

c132

name 名前Robert Backstrom
date 日付October 4, 2007 00:47:33 UTC 2007 年 10 月 4 日 (木) 9 時 47 分 33 秒 (日本時間)
composite number 合成数
143198090692124105011933174224343675417661097852028639618138424821002386634844868735083532219570405727923627684964200477326968973747<132>
prime factors 素因数
803784771613572434432727851402219930947<39>
8211994164161688590117664996602372379877<40>
21694458850171435203820744840123411555745339465862013<53>
factorization results 素因数分解の結果
Number: n
N=143198090692124105011933174224343675417661097852028639618138424821002386634844868735083532219570405727923627684964200477326968973747
  ( 132 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=803784771613572434432727851402219930947 (pp39)
 r2=8211994164161688590117664996602372379877 (pp40)
 r3=21694458850171435203820744840123411555745339465862013 (pp53)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.50 hours.
Scaled time: 6.52 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_5_9_132_3
n: 143198090692124105011933174224343675417661097852028639618138424821002386634844868735083532219570405727923627684964200477326968973747
skew: 0.52
deg: 5
c5: 375
c0: -14
m: 200000000000000000000000000
type: snfs
rlim: 1200000
alim: 1200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 550001)
Primes: RFBsize:92938, AFBsize:93099, largePrimes:5807271 encountered
Relations: rels:5166926, finalFF:262402
Max relations in full relation-set: 28
Initial matrix: 186103 x 262402 with sparse part having weight 21646923.
Pruned matrix : 153360 x 154354 with weight 9710538.
Total sieving time: 3.84 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.40 hours.
Total square root time: 0.12 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,48,48,2.5,2.5,75000
total time: 4.50 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

6×10135-7

c107

name 名前Sinkiti Sibata
date 日付October 4, 2007 06:46:19 UTC 2007 年 10 月 4 日 (木) 15 時 46 分 19 秒 (日本時間)
composite number 合成数
30458668409186085102726075004708104994463090774955003534458454777954452719667825900945750528186059032006529<107>
prime factors 素因数
1126059761985818701739729351936313997694323<43>
27048891575232108774848633209666793723302095208678124558846257723<65>
factorization results 素因数分解の結果
Number: 59993_135
N=30458668409186085102726075004708104994463090774955003534458454777954452719667825900945750528186059032006529
  ( 107 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=1126059761985818701739729351936313997694323 (pp43)
 r2=27048891575232108774848633209666793723302095208678124558846257723 (pp65)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.79 hours.
Scaled time: 15.48 units (timescale=1.986).
Factorization parameters were as follows:
name: 59993_135
n: 30458668409186085102726075004708104994463090774955003534458454777954452719667825900945750528186059032006529
m: 1000000000000000000000000000
c5: 6
c0: -7
skew: 1.03
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1375001)
Primes: RFBsize:78498, AFBsize:63888, largePrimes:1589402 encountered
Relations: rels:1605693, finalFF:183280
Max relations in full relation-set: 28
Initial matrix: 142452 x 183280 with sparse part having weight 16657071.
Pruned matrix : 130634 x 131410 with weight 10249543.
Total sieving time: 7.56 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 7.79 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz,  Windows Vista)

6×10137-7

c138

name 名前Jo Yeong Uk
date 日付October 3, 2007 11:15:11 UTC 2007 年 10 月 3 日 (水) 20 時 15 分 11 秒 (日本時間)
composite number 合成数
599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<138>
prime factors 素因数
11930304707794017951010060929038611787637529<44>
50292093512751817677191069598755399434481984540235534607565516222232375080068547729293970178017<95>
factorization results 素因数分解の結果
Number: 59993_137
N=599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 138 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=11930304707794017951010060929038611787637529 (pp44)
 r2=50292093512751817677191069598755399434481984540235534607565516222232375080068547729293970178017 (pp95)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.81 hours.
Scaled time: 10.24 units (timescale=2.129).
Factorization parameters were as follows:
n: 599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 2000000000000000000000000000
c5: 75
c0: -28
skew: 0.82
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1600001)
Primes: RFBsize:107126, AFBsize:106878, largePrimes:2399412 encountered
Relations: rels:2552130, finalFF:267534
Max relations in full relation-set: 28
Initial matrix: 214070 x 267534 with sparse part having weight 24798377.
Pruned matrix : 197717 x 198851 with weight 15730218.
Total sieving time: 4.58 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 4.81 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10140-7

c133

name 名前Robert Backstrom
date 日付October 4, 2007 01:06:40 UTC 2007 年 10 月 4 日 (木) 10 時 6 分 40 秒 (日本時間)
composite number 合成数
5065539939743545052105958972013845842938898621432723301896564325396338609157906919910005955133178828173955673300466815677403723018201<133>
prime factors 素因数
488302592269751645844131141513207371459<39>
10373772369705551105830529941865993946904275182321723727108870993322153016866124697921503890739<95>
factorization results 素因数分解の結果
Number: n
N=5065539939743545052105958972013845842938898621432723301896564325396338609157906919910005955133178828173955673300466815677403723018201
  ( 133 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=488302592269751645844131141513207371459 (pp39)
 r2=10373772369705551105830529941865993946904275182321723727108870993322153016866124697921503890739 (pp95)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.15 hours.
Scaled time: 9.46 units (timescale=1.322).
Factorization parameters were as follows:
name: KA_5_9_139_3
n: 5065539939743545052105958972013845842938898621432723301896564325396338609157906919910005955133178828173955673300466815677403723018201
skew: 1.03
deg: 5
c5: 6
c0: -7
m: 10000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 850001)
Primes: RFBsize:114155, AFBsize:114412, largePrimes:6395094 encountered
Relations: rels:5722594, finalFF:311875
Max relations in full relation-set: 48
Initial matrix: 228633 x 311875 with sparse part having weight 33205990.
Pruned matrix : 195644 x 196851 with weight 15042093.
Total sieving time: 5.86 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.01 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,100000
total time: 7.15 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6×10141-7

c127

name 名前Jo Yeong Uk
date 日付October 4, 2007 02:43:45 UTC 2007 年 10 月 4 日 (木) 11 時 43 分 45 秒 (日本時間)
composite number 合成数
3780703739727714604072007660515275924677775824892928305810467477624400294208056190232911533726737568990921176889825991522002373<127>
prime factors 素因数
6476031936152650611823116269070611627<37>
583799427952449996104077409330623614593075799711097271574870756751412606331718775669681999<90>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 3780703739727714604072007660515275924677775824892928305810467477624400294208056190232911533726737568990921176889825991522002373 (127 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3326569211
Step 1 took 20202ms
Step 2 took 8920ms
********** Factor found in step 2: 6476031936152650611823116269070611627
Found probable prime factor of 37 digits: 6476031936152650611823116269070611627
Probable prime cofactor 583799427952449996104077409330623614593075799711097271574870756751412606331718775669681999 has 90 digits
execution environment 実行環境
Core 2 Quad Q6600

6×10142-7

c108

name 名前Sinkiti Sibata
date 日付October 4, 2007 15:45:49 UTC 2007 年 10 月 5 日 (金) 0 時 45 分 49 秒 (日本時間)
composite number 合成数
109089836673239920516770319965068209364823641145718230527163887975622905277416393899382401902254788759475177<108>
prime factors 素因数
42191759522915775604583057626823<32>
2585572109501371476246882696300039865583164290410873961325438433783561473999<76>
factorization results 素因数分解の結果
Number: 59993_142
N=109089836673239920516770319965068209364823641145718230527163887975622905277416393899382401902254788759475177
  ( 108 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=42191759522915775604583057626823 (pp32)
 r2=2585572109501371476246882696300039865583164290410873961325438433783561473999 (pp76)
Version: GGNFS-0.77.1-20060513-k8
Total time: 17.01 hours.
Scaled time: 34.09 units (timescale=2.004).
Factorization parameters were as follows:
name: 59993_142
n: 109089836673239920516770319965068209364823641145718230527163887975622905277416393899382401902254788759475177
m: 10000000000000000000000000000
c5: 600
c0: -7
skew: 0.41
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2550001)
Primes: RFBsize:100021, AFBsize:99733, largePrimes:2907987 encountered
Relations: rels:2943976, finalFF:268434
Max relations in full relation-set: 28
Initial matrix: 199820 x 268434 with sparse part having weight 31091401.
Pruned matrix : 182446 x 183509 with weight 19802614.
Total sieving time: 16.40 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 17.01 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz,  Windows Vista)

6×10145-7

c113

name 名前Jo Yeong Uk
date 日付October 4, 2007 14:09:43 UTC 2007 年 10 月 4 日 (木) 23 時 9 分 43 秒 (日本時間)
composite number 合成数
49747939615056500626663559867471926285149195969519260672945306537946404080535869032470347651193685603727971808451<113>
prime factors 素因数
208622310195879907337278472254444759<36>
238459345830976112102219160803088310324167412809493635059788300420093626611189<78>
factorization results 素因数分解の結果
Number: 59993_145
N=49747939615056500626663559867471926285149195969519260672945306537946404080535869032470347651193685603727971808451
  ( 113 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=208622310195879907337278472254444759 (pp36)
 r2=238459345830976112102219160803088310324167412809493635059788300420093626611189 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.31 hours.
Scaled time: 21.94 units (timescale=2.128).
Factorization parameters were as follows:
n: 49747939615056500626663559867471926285149195969519260672945306537946404080535869032470347651193685603727971808451
m: 100000000000000000000000000000
c5: 6
c0: -7
skew: 1.03
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1450001)
Primes: RFBsize:114155, AFBsize:114412, largePrimes:3499162 encountered
Relations: rels:3558668, finalFF:328093
Max relations in full relation-set: 28
Initial matrix: 228633 x 328093 with sparse part having weight 33496163.
Pruned matrix : 202020 x 203227 with weight 17855809.
Total sieving time: 10.03 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 10.31 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10148-7

c124

name 名前Sinkiti Sibata
date 日付October 6, 2007 00:31:25 UTC 2007 年 10 月 6 日 (土) 9 時 31 分 25 秒 (日本時間)
composite number 合成数
1101965304326275718376569832258079442992217073921951287705392731002575698336321117095630581548488817660192266002626251175629<124>
prime factors 素因数
2202754157836179317307651152968047629805882079<46>
500267040879752050179524392513061490125276212618093746534715313369595549802451<78>
factorization results 素因数分解の結果
Number: 59993_148
N=1101965304326275718376569832258079442992217073921951287705392731002575698336321117095630581548488817660192266002626251175629
  ( 124 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=2202754157836179317307651152968047629805882079 (pp46)
 r2=500267040879752050179524392513061490125276212618093746534715313369595549802451 (pp78)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 38.13 hours.
Scaled time: 25.82 units (timescale=0.677).
Factorization parameters were as follows:
name: 59993_148
n: 1101965304326275718376569832258079442992217073921951287705392731002575698336321117095630581548488817660192266002626251175629
m: 200000000000000000000000000000
c5: 375
c0: -14
skew: 0.52
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 4550001)
Primes: RFBsize:114155, AFBsize:114432, largePrimes:3074783 encountered
Relations: rels:3142613, finalFF:260671
Max relations in full relation-set: 28
Initial matrix: 228653 x 260671 with sparse part having weight 33256669.
Pruned matrix : 220290 x 221497 with weight 26947508.
Total sieving time: 35.67 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 2.06 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 38.13 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

6×10151-7

c145

name 名前Robert Backstrom
date 日付October 5, 2007 00:00:54 UTC 2007 年 10 月 5 日 (金) 9 時 0 分 54 秒 (日本時間)
composite number 合成数
1576910539473448019759109569079496607053578663117847018809888269843454571559582658010444036193986593579666558586970413978176556843695812590279771<145>
prime factors 素因数
163890451242523530323685961374784914589069397<45>
9621735296463067319406359609200658570446718765888423723850749029550679811036943776234172558145948143<100>
factorization results 素因数分解の結果
Number: n
N=1576910539473448019759109569079496607053578663117847018809888269843454571559582658010444036193986593579666558586970413978176556843695812590279771
  ( 145 digits)
SNFS difficulty: 151 digits.
Divisors found:

Fri Oct 05 09:28:44 2007  prp45 factor: 163890451242523530323685961374784914589069397
Fri Oct 05 09:28:44 2007  prp100 factor: 9621735296463067319406359609200658570446718765888423723850749029550679811036943776234172558145948143
Fri Oct 05 09:28:44 2007  elapsed time 00:54:09 (Msieve 1.26)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.99 hours.
Scaled time: 26.51 units (timescale=1.326).
Factorization parameters were as follows:
name: KA_5_9_150_3
n: 1576910539473448019759109569079496607053578663117847018809888269843454571559582658010444036193986593579666558586970413978176556843695812590279771
skew: 0.65
deg: 5
c5: 60
c0: -7
m: 1000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 900000)
Primes: RFBsize:216816, AFBsize:216901, largePrimes:6806958 encountered
Relations: rels:6383461, finalFF:576223
Max relations in full relation-set: 28
Initial matrix: 433784 x 576223 with sparse part having weight 36816750.
Pruned matrix : 309229 x 311461 with weight 17215851.
Total sieving time: 19.80 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 19.99 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6×10152-7

c139

name 名前Sinkiti Sibata
date 日付October 5, 2007 08:19:35 UTC 2007 年 10 月 5 日 (金) 17 時 19 分 35 秒 (日本時間)
composite number 合成数
9481419024773431796374859861929423222068324195372690108617292629460624268055670298332904077189122625243218702260577584276221851166121117681<139>
prime factors 素因数
2422519199645591483038400362598333261141854085321449290981587<61>
3913867442685506786621678329983313608259562954908441460080566565534765765237163<79>
factorization results 素因数分解の結果
Number: 59993_152
N=9481419024773431796374859861929423222068324195372690108617292629460624268055670298332904077189122625243218702260577584276221851166121117681
  ( 139 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=2422519199645591483038400362598333261141854085321449290981587 (pp61)
 r2=3913867442685506786621678329983313608259562954908441460080566565534765765237163 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 30.48 hours.
Scaled time: 59.79 units (timescale=1.962).
Factorization parameters were as follows:
name: 59993_152
n: 9481419024773431796374859861929423222068324195372690108617292629460624268055670298332904077189122625243218702260577584276221851166121117681
m: 1000000000000000000000000000000
c5: 600
c0: -7
skew: 0.41
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2300001)
Primes: RFBsize:176302, AFBsize:175743, largePrimes:5726784 encountered
Relations: rels:5711566, finalFF:522112
Max relations in full relation-set: 28
Initial matrix: 352111 x 522112 with sparse part having weight 50262752.
Pruned matrix : 292470 x 294294 with weight 27860308.
Total sieving time: 28.94 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.25 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 30.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo  E6300 1.86GHz,  Windows Vista)

6×10153-7

c85

name 名前Sinkiti Sibata
date 日付October 3, 2007 10:46:37 UTC 2007 年 10 月 3 日 (水) 19 時 46 分 37 秒 (日本時間)
composite number 合成数
2736683689998000234925592599907106848522357423838373040075488018168277701797414540341<85>
prime factors 素因数
356746994819799697074718391780142365509993<42>
7671217220429161293573234558957602035904237<43>
factorization results 素因数分解の結果
Wed Oct 03 14:47:30 2007  Msieve v. 1.26
Wed Oct 03 14:47:30 2007  random seeds: 460178a0 145787d5
Wed Oct 03 14:47:30 2007  factoring 2736683689998000234925592599907106848522357423838373040075488018168277701797414540341 (85 digits)
Wed Oct 03 14:47:30 2007  commencing quadratic sieve (85-digit input)
Wed Oct 03 14:47:31 2007  using multiplier of 21
Wed Oct 03 14:47:31 2007  using 64kb Pentium 2 sieve core
Wed Oct 03 14:47:31 2007  sieve interval: 6 blocks of size 65536
Wed Oct 03 14:47:31 2007  processing polynomials in batches of 17
Wed Oct 03 14:47:31 2007  using a sieve bound of 1425547 (54412 primes)
Wed Oct 03 14:47:31 2007  using large prime bound of 116894854 (26 bits)
Wed Oct 03 14:47:31 2007  using double large prime bound of 332683806537686 (41-49 bits)
Wed Oct 03 14:47:31 2007  using trial factoring cutoff of 49 bits
Wed Oct 03 14:47:31 2007  polynomial 'A' values have 11 factors
Wed Oct 03 19:20:05 2007  54584 relations (15772 full + 38812 combined from 574026 partial), need 54508
Wed Oct 03 19:20:07 2007  begin with 589798 relations
Wed Oct 03 19:20:09 2007  reduce to 128585 relations in 11 passes
Wed Oct 03 19:20:09 2007  attempting to read 128585 relations
Wed Oct 03 19:20:14 2007  recovered 128585 relations
Wed Oct 03 19:20:14 2007  recovered 109292 polynomials
Wed Oct 03 19:20:15 2007  attempting to build 54584 cycles
Wed Oct 03 19:20:15 2007  found 54584 cycles in 5 passes
Wed Oct 03 19:20:19 2007  distribution of cycle lengths:
Wed Oct 03 19:20:19 2007     length 1 : 15772
Wed Oct 03 19:20:19 2007     length 2 : 11077
Wed Oct 03 19:20:19 2007     length 3 : 9717
Wed Oct 03 19:20:19 2007     length 4 : 6987
Wed Oct 03 19:20:19 2007     length 5 : 4720
Wed Oct 03 19:20:19 2007     length 6 : 2838
Wed Oct 03 19:20:19 2007     length 7 : 1656
Wed Oct 03 19:20:19 2007     length 9+: 1817
Wed Oct 03 19:20:19 2007  largest cycle: 17 relations
Wed Oct 03 19:20:20 2007  matrix is 54412 x 54584 with weight 2905977 (avg 53.24/col)
Wed Oct 03 19:20:22 2007  filtering completed in 3 passes
Wed Oct 03 19:20:22 2007  matrix is 49748 x 49812 with weight 2673600 (avg 53.67/col)
Wed Oct 03 19:20:24 2007  saving the first 48 matrix rows for later
Wed Oct 03 19:20:24 2007  matrix is 49700 x 49812 with weight 1993341 (avg 40.02/col)
Wed Oct 03 19:20:24 2007  matrix includes 64 packed rows
Wed Oct 03 19:20:24 2007  commencing Lanczos iteration
Wed Oct 03 19:25:55 2007  lanczos halted after 787 iterations
Wed Oct 03 19:25:56 2007  recovered 19 nontrivial dependencies
Wed Oct 03 19:25:59 2007  prp42 factor: 356746994819799697074718391780142365509993
Wed Oct 03 19:25:59 2007  prp43 factor: 7671217220429161293573234558957602035904237
Wed Oct 03 19:25:59 2007  elapsed time 04:38:29
execution environment 実行環境
Celeron 750MHz,  Windows 2000)

6×10155-7

c84

name 名前Robert Backstrom
date 日付October 3, 2007 16:04:21 UTC 2007 年 10 月 4 日 (木) 1 時 4 分 21 秒 (日本時間)
composite number 合成数
860781490961595669697733605784670171336258336753794416470408536041356301000209037411<84>
prime factors 素因数
217264834889735630458321389261532721<36>
3961899731258636703690742682913482426977474823891<49>
factorization results 素因数分解の結果
Wed Oct 03 15:36:33 2007  Msieve v. 1.26
Wed Oct 03 15:36:33 2007  random seeds: 965c87cc d2ef83b1
Wed Oct 03 15:36:33 2007  factoring 860781490961595669697733605784670171336258336753794416470408536041356301000209037411 (84 digits)
Wed Oct 03 15:36:34 2007  commencing quadratic sieve (84-digit input)
Wed Oct 03 15:36:34 2007  using multiplier of 1
Wed Oct 03 15:36:34 2007  using 64kb Opteron sieve core
Wed Oct 03 15:36:34 2007  sieve interval: 6 blocks of size 65536
Wed Oct 03 15:36:34 2007  processing polynomials in batches of 17
Wed Oct 03 15:36:34 2007  using a sieve bound of 1409117 (53799 primes)
Wed Oct 03 15:36:34 2007  using large prime bound of 119774945 (26 bits)
Wed Oct 03 15:36:34 2007  using trial factoring cutoff of 27 bits
Wed Oct 03 15:36:34 2007  polynomial 'A' values have 11 factors
Wed Oct 03 16:07:49 2007  54021 relations (27210 full + 26811 combined from 284568 partial), need 53895
Wed Oct 03 16:07:50 2007  begin with 311778 relations
Wed Oct 03 16:07:50 2007  reduce to 77387 relations in 2 passes
Wed Oct 03 16:07:50 2007  attempting to read 77387 relations
Wed Oct 03 16:07:51 2007  recovered 77387 relations
Wed Oct 03 16:07:51 2007  recovered 71517 polynomials
Wed Oct 03 16:07:51 2007  attempting to build 54021 cycles
Wed Oct 03 16:07:51 2007  found 54021 cycles in 1 passes
Wed Oct 03 16:07:51 2007  distribution of cycle lengths:
Wed Oct 03 16:07:51 2007     length 1 : 27210
Wed Oct 03 16:07:51 2007     length 2 : 26811
Wed Oct 03 16:07:51 2007  largest cycle: 2 relations
Wed Oct 03 16:07:51 2007  matrix is 53799 x 54021 with weight 1755888 (avg 32.50/col)
Wed Oct 03 16:07:51 2007  filtering completed in 4 passes
Wed Oct 03 16:07:51 2007  matrix is 46702 x 46766 with weight 1491481 (avg 31.89/col)
Wed Oct 03 16:07:52 2007  saving the first 48 matrix rows for later
Wed Oct 03 16:07:52 2007  matrix is 46654 x 46766 with weight 1088600 (avg 23.28/col)
Wed Oct 03 16:07:52 2007  matrix includes 64 packed rows
Wed Oct 03 16:07:52 2007  commencing Lanczos iteration
Wed Oct 03 16:08:46 2007  lanczos halted after 739 iterations
Wed Oct 03 16:08:47 2007  recovered 6 nontrivial dependencies
Wed Oct 03 16:08:47 2007  prp36 factor: 217264834889735630458321389261532721
Wed Oct 03 16:08:47 2007  prp49 factor: 3961899731258636703690742682913482426977474823891
Wed Oct 03 16:08:47 2007  elapsed time 00:32:14

6×10157-7

c98

name 名前Robert Backstrom
date 日付October 3, 2007 13:23:58 UTC 2007 年 10 月 3 日 (水) 22 時 23 分 58 秒 (日本時間)
composite number 合成数
28083270071686319089592401973395533416884243987372294079591744321397845903861895820202049357252473<98>
prime factors 素因数
22320341571287862440791180961911537<35>
1258191770139023959637271001787399781177095229292345787867966729<64>
factorization results 素因数分解の結果
Wed Oct 03 16:19:38 2007  Msieve v. 1.26
Wed Oct 03 16:19:38 2007  random seeds: b8709f30 80cbbce4
Wed Oct 03 16:19:38 2007  factoring 28083270071686319089592401973395533416884243987372294079591744321397845903861895820202049357252473 (98 digits)
Wed Oct 03 16:19:38 2007  commencing quadratic sieve (98-digit input)
Wed Oct 03 16:19:38 2007  using multiplier of 1
Wed Oct 03 16:19:38 2007  using 64kb Opteron sieve core
Wed Oct 03 16:19:38 2007  sieve interval: 18 blocks of size 65536
Wed Oct 03 16:19:38 2007  processing polynomials in batches of 6
Wed Oct 03 16:19:38 2007  using a sieve bound of 2473301 (90543 primes)
Wed Oct 03 16:19:38 2007  using large prime bound of 370995150 (28 bits)
Wed Oct 03 16:19:38 2007  using double large prime bound of 2659884601469100 (43-52 bits)
Wed Oct 03 16:19:38 2007  using trial factoring cutoff of 52 bits
Wed Oct 03 16:19:38 2007  polynomial 'A' values have 13 factors
Wed Oct 03 23:18:45 2007  90718 relations (21893 full + 68825 combined from 1364772 partial), need 90639
Wed Oct 03 23:18:47 2007  begin with 1386665 relations
Wed Oct 03 23:18:48 2007  reduce to 237587 relations in 12 passes
Wed Oct 03 23:18:48 2007  attempting to read 237587 relations
Wed Oct 03 23:18:52 2007  recovered 237587 relations
Wed Oct 03 23:18:52 2007  recovered 225257 polynomials
Wed Oct 03 23:18:52 2007  attempting to build 90718 cycles
Wed Oct 03 23:18:53 2007  found 90718 cycles in 6 passes
Wed Oct 03 23:18:53 2007  distribution of cycle lengths:
Wed Oct 03 23:18:53 2007     length 1 : 21893
Wed Oct 03 23:18:53 2007     length 2 : 15660
Wed Oct 03 23:18:53 2007     length 3 : 15243
Wed Oct 03 23:18:53 2007     length 4 : 12310
Wed Oct 03 23:18:53 2007     length 5 : 9641
Wed Oct 03 23:18:53 2007     length 6 : 6118
Wed Oct 03 23:18:53 2007     length 7 : 4176
Wed Oct 03 23:18:53 2007     length 9+: 5677
Wed Oct 03 23:18:53 2007  largest cycle: 19 relations
Wed Oct 03 23:18:53 2007  matrix is 90543 x 90718 with weight 6047781 (avg 66.67/col)
Wed Oct 03 23:18:54 2007  filtering completed in 3 passes
Wed Oct 03 23:18:54 2007  matrix is 86539 x 86603 with weight 5807038 (avg 67.05/col)
Wed Oct 03 23:18:55 2007  saving the first 48 matrix rows for later
Wed Oct 03 23:18:55 2007  matrix is 86491 x 86603 with weight 4591383 (avg 53.02/col)
Wed Oct 03 23:18:55 2007  matrix includes 64 packed rows
Wed Oct 03 23:18:55 2007  using block size 21845 for processor cache size 512 kB
Wed Oct 03 23:18:55 2007  commencing Lanczos iteration
Wed Oct 03 23:20:21 2007  lanczos halted after 1370 iterations
Wed Oct 03 23:20:21 2007  recovered 17 nontrivial dependencies
Wed Oct 03 23:20:22 2007  prp35 factor: 22320341571287862440791180961911537
Wed Oct 03 23:20:22 2007  prp64 factor: 1258191770139023959637271001787399781177095229292345787867966729
Wed Oct 03 23:20:22 2007  elapsed time 07:00:44

6×10159-7

c96

name 名前Jo Yeong Uk
date 日付October 4, 2007 23:22:45 UTC 2007 年 10 月 5 日 (金) 8 時 22 分 45 秒 (日本時間)
composite number 合成数
402420364802456082600245272138853200856277707189366407172983739323623291446802112677069257990389<96>
prime factors 素因数
17014311483120697384989356382969398497597<41>
23651874787979709585009977994193399030605069949949286937<56>
factorization results 素因数分解の結果
Thu Oct  4 21:37:14 2007  
Thu Oct  4 21:37:14 2007  
Thu Oct  4 21:37:14 2007  Msieve v. 1.28
Thu Oct  4 21:37:14 2007  random seeds: 1a77d3d5 9d0329b9
Thu Oct  4 21:37:14 2007  factoring 402420364802456082600245272138853200856277707189366407172983739323623291446802112677069257990389 (96 digits)
Thu Oct  4 21:37:14 2007  commencing quadratic sieve (96-digit input)
Thu Oct  4 21:37:14 2007  using multiplier of 1
Thu Oct  4 21:37:14 2007  using 32kb Intel Core sieve core
Thu Oct  4 21:37:14 2007  sieve interval: 36 blocks of size 32768
Thu Oct  4 21:37:14 2007  processing polynomials in batches of 6
Thu Oct  4 21:37:14 2007  using a sieve bound of 2248781 (83529 primes)
Thu Oct  4 21:37:14 2007  using large prime bound of 337317150 (28 bits)
Thu Oct  4 21:37:14 2007  using double large prime bound of 2241140878991550 (43-51 bits)
Thu Oct  4 21:37:14 2007  using trial factoring cutoff of 51 bits
Thu Oct  4 21:37:14 2007  polynomial 'A' values have 12 factors
Fri Oct  5 02:05:05 2007  83793 relations (19127 full + 64666 combined from 1276886 partial), need 83625
Fri Oct  5 02:05:06 2007  begin with 1296013 relations
Fri Oct  5 02:05:07 2007  reduce to 225145 relations in 12 passes
Fri Oct  5 02:05:07 2007  attempting to read 225145 relations
Fri Oct  5 02:05:08 2007  recovered 225145 relations
Fri Oct  5 02:05:08 2007  recovered 213597 polynomials
Fri Oct  5 02:05:09 2007  attempting to build 83793 cycles
Fri Oct  5 02:05:09 2007  found 83793 cycles in 6 passes
Fri Oct  5 02:05:09 2007  distribution of cycle lengths:
Fri Oct  5 02:05:09 2007     length 1 : 19127
Fri Oct  5 02:05:09 2007     length 2 : 13665
Fri Oct  5 02:05:09 2007     length 3 : 13753
Fri Oct  5 02:05:09 2007     length 4 : 11694
Fri Oct  5 02:05:09 2007     length 5 : 8929
Fri Oct  5 02:05:09 2007     length 6 : 6357
Fri Oct  5 02:05:09 2007     length 7 : 4300
Fri Oct  5 02:05:09 2007     length 9+: 5968
Fri Oct  5 02:05:09 2007  largest cycle: 20 relations
Fri Oct  5 02:05:09 2007  matrix is 83529 x 83793 with weight 5817253 (avg 69.42/col)
Fri Oct  5 02:05:10 2007  filtering completed in 4 passes
Fri Oct  5 02:05:10 2007  matrix is 80599 x 80663 with weight 5617583 (avg 69.64/col)
Fri Oct  5 02:05:11 2007  saving the first 48 matrix rows for later
Fri Oct  5 02:05:11 2007  matrix is 80551 x 80663 with weight 4705622 (avg 58.34/col)
Fri Oct  5 02:05:11 2007  matrix includes 64 packed rows
Fri Oct  5 02:05:11 2007  using block size 32265 for processor cache size 4096 kB
Fri Oct  5 02:05:14 2007  commencing Lanczos iteration
Fri Oct  5 02:05:49 2007  lanczos halted after 1276 iterations
Fri Oct  5 02:05:49 2007  recovered 17 nontrivial dependencies
Fri Oct  5 02:05:50 2007  prp41 factor: 17014311483120697384989356382969398497597
Fri Oct  5 02:05:50 2007  prp56 factor: 23651874787979709585009977994193399030605069949949286937
Fri Oct  5 02:05:50 2007  elapsed time 04:28:36
execution environment 実行環境
Core 2 Quad Q6600

6×10160-7

c107

name 名前Sinkiti Sibata
date 日付October 5, 2007 21:35:11 UTC 2007 年 10 月 6 日 (土) 6 時 35 分 11 秒 (日本時間)
composite number 合成数
10116551302389730489061629792753496443305947169260756466085450095805957750759395081955491468661781825974259<107>
prime factors 素因数
125543951754463483312651367167081146619879782542807<51>
80581749745901679359607613279455998414547734638470247237<56>
factorization results 素因数分解の結果
Number: 59993_160
N=10116551302389730489061629792753496443305947169260756466085450095805957750759395081955491468661781825974259
  ( 107 digits)
Divisors found:
 r1=125543951754463483312651367167081146619879782542807 (pp51)
 r2=80581749745901679359607613279455998414547734638470247237 (pp56)
Version: GGNFS-0.77.1-20060513-k8
Total time: 16.09 hours.
Scaled time: 31.66 units (timescale=1.968).
Factorization parameters were as follows:
name: 59993_160
n: 10116551302389730489061629792753496443305947169260756466085450095805957750759395081955491468661781825974259
skew: 8717.48
# norm 7.18e+14
c5: 34200
c4: 3446830450
c3: -49450344917839
c2: -282207816974048745
c1: 293743109705688382953
c0: -105852972657943776101076
# alpha -6.04
Y1: 1982489113
Y0: -196879813041941649923
# Murphy_E 1.63e-09
# M 8200850302644055184453131829831345367830490194178486463399401491964831823878780279463907218481306105711361
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, 2300001)
Primes: RFBsize:183072, AFBsize:182207, largePrimes:4770558 encountered
Relations: rels:5287342, finalFF:797494
Max relations in full relation-set: 28
Initial matrix: 365359 x 797494 with sparse part having weight 66842766.
Pruned matrix : 198399 x 200289 with weight 27225588.
Total sieving time: 15.17 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 16.09 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz,  Windows Vista)

6×10161-7

c130

name 名前Sinkiti Sibata
date 日付October 7, 2007 08:49:53 UTC 2007 年 10 月 7 日 (日) 17 時 49 分 53 秒 (日本時間)
composite number 合成数
5257990515336585603900960324981397066212063936330995720178877708548412575128763722465208456773985220196118351156898540333928188639<130>
prime factors 素因数
25632208522320555148392302355173<32>
205132168410612051871480238620927190554253620898540807301677670565578241342961193951890988344739443<99>
factorization results 素因数分解の結果
Number: 59993_161
N=5257990515336585603900960324981397066212063936330995720178877708548412575128763722465208456773985220196118351156898540333928188639
  ( 130 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=25632208522320555148392302355173 (pp32)
 r2=205132168410612051871480238620927190554253620898540807301677670565578241342961193951890988344739443 (pp99)
Version: GGNFS-0.77.1-20060513-k8
Total time: 67.83 hours.
Scaled time: 134.98 units (timescale=1.990).
Factorization parameters were as follows:
name: 59993_161
n: 5257990515336585603900960324981397066212063936330995720178877708548412575128763722465208456773985220196118351156898540333928188639
m: 100000000000000000000000000000000
c5: 60
c0: -7
skew: 0.65
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4350001)
Primes: RFBsize:315948, AFBsize:316366, largePrimes:5776158 encountered
Relations: rels:5879966, finalFF:735887
Max relations in full relation-set: 28
Initial matrix: 632381 x 735887 with sparse part having weight 44476895.
Pruned matrix : 553498 x 556723 with weight 31162467.
Total sieving time: 64.08 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.36 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 67.83 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz,  Windows Vista) 

6×10163-7

c145

name 名前Sinkiti Sibata
date 日付October 9, 2007 10:03:05 UTC 2007 年 10 月 9 日 (火) 19 時 3 分 5 秒 (日本時間)
composite number 合成数
1977633230023623206564389103658481345270454210925237336059189627833971133619728015943405220774679827442341511985530665001766489444666368027814581<145>
prime factors 素因数
15909833358959093262353180001154624082529476187767<50>
124302573471643865966793637908816400185876720580733444177989495780776161055978026073936417281843<96>
factorization results 素因数分解の結果
Number: 59993_163
N=1977633230023623206564389103658481345270454210925237336059189627833971133619728015943405220774679827442341511985530665001766489444666368027814581
  ( 145 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=15909833358959093262353180001154624082529476187767 (pp50)
 r2=124302573471643865966793637908816400185876720580733444177989495780776161055978026073936417281843 (pp96)
Version: GGNFS-0.77.1-20060513-k8
Total time: 95.21 hours.
Scaled time: 190.23 units (timescale=1.998).
Factorization parameters were as follows:
name: 59993_163
n: 1977633230023623206564389103658481345270454210925237336059189627833971133619728015943405220774679827442341511985530665001766489444666368027814581
m: 200000000000000000000000000000000
c5: 375
c0: -14
skew: 0.52
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 5350001)
Primes: RFBsize:315948, AFBsize:315866, largePrimes:5944123 encountered
Relations: rels:6092944, finalFF:763528
Max relations in full relation-set: 28
Initial matrix: 631880 x 763528 with sparse part having weight 59643557.
Pruned matrix : 535995 x 539218 with weight 43398744.
Total sieving time: 90.70 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.03 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 95.21 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windowa Vista)

6×10164-7

c150

name 名前Robert Backstrom
date 日付October 8, 2007 10:10:06 UTC 2007 年 10 月 8 日 (月) 19 時 10 分 6 秒 (日本時間)
composite number 合成数
116711432224977017360883726082633787948846053120532190717761735193932640441906310777526105200497999505680676600497638929152987804613749651905799240881<150>
prime factors 素因数
604857162810389628774661784293336029351376392407791<51>
192957014318376632131120220747611805227589329088927241976832631934622388748514730334494973730320991<99>
factorization results 素因数分解の結果
Number: n
N=116711432224977017360883726082633787948846053120532190717761735193932640441906310777526105200497999505680676600497638929152987804613749651905799240881
  ( 150 digits)
SNFS difficulty: 165 digits.
Divisors found:

Mon Oct 08 17:31:28 2007  prp51 factor: 604857162810389628774661784293336029351376392407791
Mon Oct 08 17:31:28 2007  prp99 factor: 192957014318376632131120220747611805227589329088927241976832631934622388748514730334494973730320991
Mon Oct 08 17:31:28 2007  elapsed time 01:42:50 (Msieve 1.28)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 53.19 hours.
Scaled time: 63.34 units (timescale=1.191).
Factorization parameters were as follows:
name: KA_5_9_163_3
n: 116711432224977017360883726082633787948846053120532190717761735193932640441906310777526105200497999505680676600497638929152987804613749651905799240881
skew: 1.63
deg: 5
c5: 3
c0: -35
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2600000)
Primes: RFBsize:216816, AFBsize:216606, largePrimes:7376363 encountered
Relations: rels:6846162, finalFF:475104
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 52.94 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 53.19 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6×10165-7

c124

name 名前Robert Backstrom
date 日付May 3, 2008 19:02:58 UTC 2008 年 5 月 4 日 (日) 4 時 2 分 58 秒 (日本時間)
composite number 合成数
9131426437483018250616136976167125291747020858040915201947647855343618380368524095147817529154557716728675938758146459509803<124>
prime factors 素因数
89114521059015530309415870009443429755507579670159234491<56>
102468445422444548672703238249307270954451352766414703365751873047633<69>
factorization results 素因数分解の結果
Number: n
N=9131426437483018250616136976167125291747020858040915201947647855343618380368524095147817529154557716728675938758146459509803
  ( 124 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sun May 04 04:55:30 2008  prp56 factor: 89114521059015530309415870009443429755507579670159234491
Sun May 04 04:55:30 2008  prp69 factor: 102468445422444548672703238249307270954451352766414703365751873047633
Sun May 04 04:55:30 2008  elapsed time 01:53:48 (Msieve 1.34)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 63.25 hours.
Scaled time: 91.53 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_5_9_164_3
n: 9131426437483018250616136976167125291747020858040915201947647855343618380368524095147817529154557716728675938758146459509803
skew: 1.03
deg: 5
c5: 6
c0: -7
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3300149)
Primes: RFBsize:216816, AFBsize:217096, largePrimes:7508847 encountered
Relations: rels:6918012, finalFF:470957
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 62.98 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 63.25 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

6×10167-7

c122

name 名前Sinkiti Sibata
date 日付October 12, 2007 21:31:53 UTC 2007 年 10 月 13 日 (土) 6 時 31 分 53 秒 (日本時間)
composite number 合成数
59563419388910720197810859969956349938363680093704772757910598946408447555545711050233081537114891883517241917857936839079<122>
prime factors 素因数
1422924018199617086667469983408773956446337923324187259<55>
41859873490837916408900575837828799444368507615420908476733092182981<68>
factorization results 素因数分解の結果
Number: 59993_167
N=59563419388910720197810859969956349938363680093704772757910598946408447555545711050233081537114891883517241917857936839079
  ( 122 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=1422924018199617086667469983408773956446337923324187259 (pp55)
 r2=41859873490837916408900575837828799444368507615420908476733092182981 (pp68)
Version: GGNFS-0.77.1-20060513-k8
Total time: 154.80 hours.
Scaled time: 308.82 units (timescale=1.995).
Factorization parameters were as follows:
name: 59993_167
n: 59563419388910720197810859969956349938363680093704772757910598946408447555545711050233081537114891883517241917857936839079
m: 1000000000000000000000000000000000
c5: 600
c0: -7
skew: 0.41
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 7450001)
Primes: RFBsize:380800, AFBsize:380567, largePrimes:6136257 encountered
Relations: rels:6361592, finalFF:867619
Max relations in full relation-set: 28
Initial matrix: 761433 x 867619 with sparse part having weight 66909828.
Pruned matrix : 680057 x 683928 with weight 51296332.
Total sieving time: 147.94 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 6.30 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 154.80 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista

6×10171-7

c157

name 名前Robert Backstrom
date 日付October 18, 2008 07:16:23 UTC 2008 年 10 月 18 日 (土) 16 時 16 分 23 秒 (日本時間)
composite number 合成数
1309879120210828994066681132598393425452886882387371219479021676852192760494238995653573474587735850307389375209623160606880841799831258125095168152211949603<157>
prime factors 素因数
104668478321136247869629778050319602787493232821426679133681787<63>
12514552052547785247649358827497335463132200483914345373302430877998388248495950980295389454969<95>
factorization results 素因数分解の結果
Number: n
N=1309879120210828994066681132598393425452886882387371219479021676852192760494238995653573474587735850307389375209623160606880841799831258125095168152211949603
  ( 157 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat Oct 18 08:27:22 2008  prp63 factor: 104668478321136247869629778050319602787493232821426679133681787
Sat Oct 18 08:27:22 2008  prp95 factor: 12514552052547785247649358827497335463132200483914345373302430877998388248495950980295389454969
Sat Oct 18 08:27:23 2008  elapsed time 02:57:46 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.18 hours.
Scaled time: 14.01 units (timescale=1.951).
Factorization parameters were as follows:
name: KA_5_9_170_3
n: 1309879120210828994066681132598393425452886882387371219479021676852192760494238995653573474587735850307389375209623160606880841799831258125095168152211949603
type: snfs
skew: 0.65
deg: 5
c5: 60
c0: -7
m: 10000000000000000000000000000000000
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 2100001)
Primes: RFBsize:425648, AFBsize:426177, largePrimes:13318679 encountered
Relations: rels:12554588, finalFF:860203
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 6.87 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,52,52,2.5,2.5,100000
total time: 7.18 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10173-7

c164

name 名前matsui
date 日付April 28, 2009 22:35:10 UTC 2009 年 4 月 29 日 (水) 7 時 35 分 10 秒 (日本時間)
composite number 合成数
44732647371690177676556686975116849751041565641321994088050866177437636038751129875566338175972264890219757780761885559854944409552577729082119380134429900275839941<164>
prime factors 素因数
254106107960663411887642298189807618950496854389331792179242251<63>
176039244907150995933870857374771574815002400239328663586454894500763717483116064141859499252833070191<102>
factorization results 素因数分解の結果
N=44732647371690177676556686975116849751041565641321994088050866177437636038751129875566338175972264890219757780761885559854944409552577729082119380134429900275839941
  ( 164 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=254106107960663411887642298189807618950496854389331792179242251 (pp63)
 r2=176039244907150995933870857374771574815002400239328663586454894500763717483116064141859499252833070191 (pp102)
Version: GGNFS-0.77.1-20060722-nocona

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10174-7

c153

name 名前Warut Roonguthai
date 日付September 22, 2011 14:09:08 UTC 2011 年 9 月 22 日 (木) 23 時 9 分 8 秒 (日本時間)
composite number 合成数
144824307451005537754314935305183388450196397418380764967934103055855613216826148939388929156884000728842863708858967975027105676416742653415197899542423<153>
prime factors 素因数
53498614775444400440722161697184497031848799093664707502336807437<65>
2707066492448308746177376337283838766946249819732813277565648978401357591107953204777779<88>
factorization results 素因数分解の結果
N = 144824307451005537754314935305183388450196397418380764967934103055855613216826148939388929156884000728842863708858967975027105676416742653415197899542423 (153 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=53498614775444400440722161697184497031848799093664707502336807437 (pp65)
r2=2707066492448308746177376337283838766946249819732813277565648978401357591107953204777779 (pp88)
Version: Msieve v. 1.47
Total time: 28.85 hours.
Factorization parameters were as follows:
name: 6*10^174-7
n: 144824307451005537754314935305183388450196397418380764967934103055855613216826148939388929156884000728842863708858967975027105676416742653415197899542423
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -35
c1: 0
c2: 0
c3: 0
c4: 0
c5: 3
skew: 1.63
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19748332
Relations: 2153724 relations
Pruned matrix : 1223934 x 1224161
Polynomial selection time: 0.00 hours.
Total sieving time: 25.53 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.12 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 28.85 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e61000Lionel DebrouxOctober 9, 2009 11:17:04 UTC 2009 年 10 月 9 日 (金) 20 時 17 分 4 秒 (日本時間)
403e62063Wataru SakaiApril 11, 2010 05:26:20 UTC 2010 年 4 月 11 日 (日) 14 時 26 分 20 秒 (日本時間)

6×10177-7

c143

name 名前Warut Roonguthai
date 日付March 22, 2012 06:39:53 UTC 2012 年 3 月 22 日 (木) 15 時 39 分 53 秒 (日本時間)
composite number 合成数
19049332837491856459883214063436468854420636919230315373825493612016335134325754238607156281569170445295875058645340269359133743005089740737293<143>
prime factors 素因数
7611452462480719754698423408128729268753947354423248202476309<61>
2502719806947767495392444807342013129478911402644681738926239081377202015355223577<82>
factorization results 素因数分解の結果
N = 19049332837491856459883214063436468854420636919230315373825493612016335134325754238607156281569170445295875058645340269359133743005089740737293 (143 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=7611452462480719754698423408128729268753947354423248202476309 (pp61)
r2=2502719806947767495392444807342013129478911402644681738926239081377202015355223577 (pp82)
Version: Msieve v. 1.48
Total time: 41.46 hours.
Factorization parameters were as follows:
name: 6*10^177-7
n: 19049332837491856459883214063436468854420636919230315373825493612016335134325754238607156281569170445295875058645340269359133743005089740737293
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -7
c1: 0
c2: 0
c3: 0
c4: 0
c5: 600
skew: 0.41
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: 21132185
Relations: 2669964 relations
Pruned matrix : 1523769 x 1523994
Polynomial selection time: 0.00 hours.
Total sieving time: 37.58 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.02 hours.
time per square root: 0.73 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: 41.46 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMay 31, 2011 06:42:22 UTC 2011 年 5 月 31 日 (火) 15 時 42 分 22 秒 (日本時間)
4511e65000Wataru SakaiOctober 24, 2011 00:57:06 UTC 2011 年 10 月 24 日 (月) 9 時 57 分 6 秒 (日本時間)

6×10178-7

c159

name 名前Dmitry Domanov
date 日付May 30, 2011 06:26:28 UTC 2011 年 5 月 30 日 (月) 15 時 26 分 28 秒 (日本時間)
composite number 合成数
106840648592841755572803711737105552838179633474848387733535180910527524906131990198694367646294168430133824683915854350637494536403928329774007858079486914769<159>
prime factors 素因数
25555014258829643658277421177<29>
4180809586358446140257910806830493899106225043016968016645041153773105641974794136065662144907018301006224616025086293137262447897<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=421405069
Step 1 took 60292ms
********** Factor found in step 1: 25555014258829643658277421177
Found probable prime factor of 29 digits: 25555014258829643658277421177
Probable prime cofactor 4180809586358446140257910806830493899106225043016968016645041153773105641974794136065662144907018301006224616025086293137262447897 has 130 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10180-7

c176

name 名前Hugo Platzer
date 日付August 26, 2008 12:12:21 UTC 2008 年 8 月 26 日 (火) 21 時 12 分 21 秒 (日本時間)
composite number 合成数
60946499131512387375948479892734161528538198218330675388787875709772771135738011315733338750799922801101100084309323798592135870062063851615590114477840868690767621156561398519<176>
prime factors 素因数
4830487850130825355136992625082278853531328717363811995759451<61>
12617048427077972576764760920138324767170820384685368004188695290274577720048489648872812603297601032348850349016469<116>
factorization results 素因数分解の結果
Tue Aug 26 11:38:06 2008  
Tue Aug 26 11:38:06 2008  
Tue Aug 26 11:38:06 2008  Msieve v. 1.36
Tue Aug 26 11:38:06 2008  random seeds: d67440d2 74216d9f
Tue Aug 26 11:38:06 2008  factoring 60946499131512387375948479892734161528538198218330675388787875709772771135738011315733338750799922801101100084309323798592135870062063851615590114477840868690767621156561398519 (176 digits)
Tue Aug 26 11:38:08 2008  no P-1/P+1/ECM available, skipping
Tue Aug 26 11:38:08 2008  commencing number field sieve (176-digit input)
Tue Aug 26 11:38:08 2008  R0: -1000000000000000000000000000000000000
Tue Aug 26 11:38:08 2008  R1:  1
Tue Aug 26 11:38:08 2008  A0: -7
Tue Aug 26 11:38:08 2008  A1:  0
Tue Aug 26 11:38:08 2008  A2:  0
Tue Aug 26 11:38:08 2008  A3:  0
Tue Aug 26 11:38:08 2008  A4:  0
Tue Aug 26 11:38:08 2008  A5:  6
Tue Aug 26 11:38:08 2008  size score = 2.794913e-12, Murphy alpha = 1.791017, combined = 1.538481e-12
Tue Aug 26 11:38:08 2008  generating factor base
Tue Aug 26 11:38:11 2008  factor base complete:
Tue Aug 26 11:38:11 2008  539777 rational roots (max prime = 7999993)
Tue Aug 26 11:38:11 2008  539975 algebraic roots (max prime = 7999993)
Tue Aug 26 11:38:12 2008  a range: [-60000000, 60000000]
Tue Aug 26 11:38:12 2008  b range: [1, 4294967295]
Tue Aug 26 11:38:12 2008  number of hash buckets: 123
Tue Aug 26 11:38:12 2008  sieve block size: 65536
Tue Aug 26 11:38:12 2008  
Tue Aug 26 11:38:12 2008  maximum RFB prime: 7999993
Tue Aug 26 11:38:12 2008  RFB entries: 539777
Tue Aug 26 11:38:12 2008  medium RFB entries: 6542
Tue Aug 26 11:38:12 2008  resieved RFB entries: 6374
Tue Aug 26 11:38:12 2008  small RFB prime powers: 28
Tue Aug 26 11:38:12 2008  projective RFB roots: 0
Tue Aug 26 11:38:12 2008  RFB trial factoring cutoff: 60 or 89 bits
Tue Aug 26 11:38:12 2008  single large prime RFB range: 23 - 27 bits
Tue Aug 26 11:38:12 2008  double large prime RFB range: 46 - 52 bits
Tue Aug 26 11:38:12 2008  triple large prime RFB range: 72 - 79 bits
Tue Aug 26 11:38:12 2008  
Tue Aug 26 11:38:12 2008  maximum AFB prime: 7999993
Tue Aug 26 11:38:12 2008  AFB entries: 539975
Tue Aug 26 11:38:12 2008  medium AFB entries: 6517
Tue Aug 26 11:38:12 2008  resieved AFB entries: 6364
Tue Aug 26 11:38:12 2008  small AFB prime powers: 6
Tue Aug 26 11:38:12 2008  projective AFB roots: 2
Tue Aug 26 11:38:12 2008  AFB trial factoring cutoff: 60 or 89 bits
Tue Aug 26 11:38:12 2008  single large prime AFB range: 23 - 27 bits
Tue Aug 26 11:38:12 2008  double large prime AFB range: 46 - 52 bits
Tue Aug 26 11:38:12 2008  triple large prime AFB range: 72 - 79 bits
Tue Aug 26 11:38:12 2008  
Tue Aug 26 11:38:12 2008  multiplying 1523913 primes from 7999993 to 33554432
Tue Aug 26 11:38:16 2008  multiply complete, product has 36865603 bits
Tue Aug 26 11:38:44 2008  completed b = 3, found 172 relations
Tue Aug 26 11:38:44 2008  elapsed time 00:00:38
Tue Aug 26 11:43:18 2008  
Tue Aug 26 11:43:18 2008  
Tue Aug 26 11:43:18 2008  Msieve v. 1.36
Tue Aug 26 11:43:18 2008  random seeds: 0d302a09 c30c0b1f
Tue Aug 26 11:43:18 2008  factoring 60946499131512387375948479892734161528538198218330675388787875709772771135738011315733338750799922801101100084309323798592135870062063851615590114477840868690767621156561398519 (176 digits)
Tue Aug 26 11:43:20 2008  no P-1/P+1/ECM available, skipping
Tue Aug 26 11:43:20 2008  commencing number field sieve (176-digit input)
Tue Aug 26 11:43:20 2008  R0: -1000000000000000000000000000000000000
Tue Aug 26 11:43:20 2008  R1:  1
Tue Aug 26 11:43:20 2008  A0: -7
Tue Aug 26 11:43:20 2008  A1:  0
Tue Aug 26 11:43:20 2008  A2:  0
Tue Aug 26 11:43:20 2008  A3:  0
Tue Aug 26 11:43:20 2008  A4:  0
Tue Aug 26 11:43:20 2008  A5:  6
Tue Aug 26 11:43:20 2008  size score = 2.794913e-12, Murphy alpha = 1.791017, combined = 1.538481e-12
Tue Aug 26 11:43:46 2008  restarting with 11607220 relations
Tue Aug 26 11:43:48 2008  added 27651 free relations
Tue Aug 26 11:43:48 2008  
Tue Aug 26 11:43:48 2008  commencing relation filtering
Tue Aug 26 11:43:48 2008  commencing duplicate removal, pass 1
Tue Aug 26 11:44:34 2008  error -9 reading relation 6604032
Tue Aug 26 11:44:41 2008  error -11 reading relation 7631047
Tue Aug 26 11:44:48 2008  error -9 reading relation 8631315
Tue Aug 26 11:44:55 2008  error -5 reading relation 9591341
Tue Aug 26 11:44:58 2008  error -11 reading relation 10123854
Tue Aug 26 11:45:02 2008  error -9 reading relation 10634976
Tue Aug 26 11:45:05 2008  error -15 reading relation 11125754
Tue Aug 26 11:45:09 2008  error -11 reading relation 11607220
Tue Aug 26 11:45:09 2008  found 1494552 hash collisions in 11634863 relations
Tue Aug 26 11:45:09 2008  commencing duplicate removal, pass 2
Tue Aug 26 11:45:18 2008  found 1523897 duplicates and 10110966 unique relations
Tue Aug 26 11:45:18 2008  memory use: 65.3 MB
Tue Aug 26 11:45:20 2008  ignoring smallest 592937 rational and 593231 algebraic ideals
Tue Aug 26 11:45:20 2008  filtering rational ideals above 8847360
Tue Aug 26 11:45:20 2008  filtering algebraic ideals above 8847360
Tue Aug 26 11:45:20 2008  need 1779252 more relations than ideals
Tue Aug 26 11:45:20 2008  commencing singleton removal, pass 1
Tue Aug 26 11:46:32 2008  relations with 0 large ideals: 97035
Tue Aug 26 11:46:32 2008  relations with 1 large ideals: 975911
Tue Aug 26 11:46:32 2008  relations with 2 large ideals: 3729723
Tue Aug 26 11:46:32 2008  relations with 3 large ideals: 4605398
Tue Aug 26 11:46:32 2008  relations with 4 large ideals: 676207
Tue Aug 26 11:46:32 2008  relations with 5 large ideals: 26692
Tue Aug 26 11:46:32 2008  relations with 6 large ideals: 0
Tue Aug 26 11:46:32 2008  relations with 7+ large ideals: 0
Tue Aug 26 11:46:32 2008  10110966 relations and about 7977776 large ideals
Tue Aug 26 11:46:32 2008  commencing singleton removal, pass 2
Tue Aug 26 11:47:43 2008  found 3829552 singletons
Tue Aug 26 11:47:43 2008  current dataset: 6281414 relations and about 3704726 large ideals
Tue Aug 26 11:47:43 2008  commencing singleton removal, pass 3
Tue Aug 26 11:48:29 2008  found 415704 singletons
Tue Aug 26 11:48:29 2008  current dataset: 5865710 relations and about 3281204 large ideals
Tue Aug 26 11:48:29 2008  commencing singleton removal, final pass
Tue Aug 26 11:49:15 2008  memory use: 97.1 MB
Tue Aug 26 11:49:15 2008  commencing in-memory singleton removal
Tue Aug 26 11:49:15 2008  begin with 5865710 relations and 3465322 unique ideals
Tue Aug 26 11:49:18 2008  reduce to 5552191 relations and 3148643 ideals in 7 passes
Tue Aug 26 11:49:18 2008  max relations containing the same ideal: 27
Tue Aug 26 11:49:20 2008  removing 981791 relations and 669643 ideals in 312148 cliques
Tue Aug 26 11:49:21 2008  commencing in-memory singleton removal
Tue Aug 26 11:49:21 2008  begin with 4570400 relations and 3148643 unique ideals
Tue Aug 26 11:49:23 2008  reduce to 4538232 relations and 2445242 ideals in 5 passes
Tue Aug 26 11:49:23 2008  max relations containing the same ideal: 23
Tue Aug 26 11:49:24 2008  removing 695031 relations and 382883 ideals in 312148 cliques
Tue Aug 26 11:49:25 2008  commencing in-memory singleton removal
Tue Aug 26 11:49:25 2008  begin with 3843201 relations and 2445242 unique ideals
Tue Aug 26 11:49:26 2008  reduce to 3788806 relations and 2003161 ideals in 5 passes
Tue Aug 26 11:49:26 2008  max relations containing the same ideal: 21
Tue Aug 26 11:49:28 2008  filtering rational ideals above 720000
Tue Aug 26 11:49:28 2008  filtering algebraic ideals above 720000
Tue Aug 26 11:49:28 2008  need 116061 more relations than ideals
Tue Aug 26 11:49:28 2008  commencing singleton removal, final pass
Tue Aug 26 11:50:21 2008  keeping 3928915 ideals with weight <= 20, new excess is 405849
Tue Aug 26 11:50:25 2008  memory use: 173.7 MB
Tue Aug 26 11:50:25 2008  commencing in-memory singleton removal
Tue Aug 26 11:50:26 2008  begin with 5552191 relations and 3928915 unique ideals
Tue Aug 26 11:50:29 2008  reduce to 5551567 relations and 3928291 ideals in 4 passes
Tue Aug 26 11:50:29 2008  max relations containing the same ideal: 20
Tue Aug 26 11:50:32 2008  removing 1158851 relations and 758851 ideals in 400000 cliques
Tue Aug 26 11:50:33 2008  commencing in-memory singleton removal
Tue Aug 26 11:50:33 2008  begin with 4392716 relations and 3928291 unique ideals
Tue Aug 26 11:50:37 2008  reduce to 4330937 relations and 3103156 ideals in 6 passes
Tue Aug 26 11:50:37 2008  max relations containing the same ideal: 20
Tue Aug 26 11:50:39 2008  removing 880038 relations and 480038 ideals in 400000 cliques
Tue Aug 26 11:50:40 2008  commencing in-memory singleton removal
Tue Aug 26 11:50:40 2008  begin with 3450899 relations and 3103156 unique ideals
Tue Aug 26 11:50:42 2008  reduce to 3381301 relations and 2546450 ideals in 5 passes
Tue Aug 26 11:50:42 2008  max relations containing the same ideal: 20
Tue Aug 26 11:50:44 2008  removing 775867 relations and 411801 ideals in 364066 cliques
Tue Aug 26 11:50:45 2008  commencing in-memory singleton removal
Tue Aug 26 11:50:45 2008  begin with 2605434 relations and 2546450 unique ideals
Tue Aug 26 11:50:47 2008  reduce to 2540585 relations and 2063741 ideals in 6 passes
Tue Aug 26 11:50:47 2008  max relations containing the same ideal: 19
Tue Aug 26 11:50:48 2008  relations with 0 large ideals: 7566
Tue Aug 26 11:50:48 2008  relations with 1 large ideals: 73927
Tue Aug 26 11:50:48 2008  relations with 2 large ideals: 377040
Tue Aug 26 11:50:48 2008  relations with 3 large ideals: 723326
Tue Aug 26 11:50:48 2008  relations with 4 large ideals: 726199
Tue Aug 26 11:50:48 2008  relations with 5 large ideals: 427856
Tue Aug 26 11:50:48 2008  relations with 6 large ideals: 164504
Tue Aug 26 11:50:48 2008  relations with 7+ large ideals: 40167
Tue Aug 26 11:50:48 2008  commencing 2-way merge
Tue Aug 26 11:50:50 2008  reduce to 2074143 relation sets and 1597299 unique ideals
Tue Aug 26 11:50:50 2008  commencing full merge
Tue Aug 26 11:51:16 2008  memory use: 159.8 MB
Tue Aug 26 11:51:16 2008  found 1023946 cycles, need 953499
Tue Aug 26 11:51:16 2008  weight of 953499 cycles is about 67027131 (70.30/cycle)
Tue Aug 26 11:51:16 2008  distribution of cycle lengths:
Tue Aug 26 11:51:16 2008  1 relations: 27101
Tue Aug 26 11:51:16 2008  2 relations: 92836
Tue Aug 26 11:51:16 2008  3 relations: 126795
Tue Aug 26 11:51:16 2008  4 relations: 136910
Tue Aug 26 11:51:16 2008  5 relations: 133726
Tue Aug 26 11:51:16 2008  6 relations: 116981
Tue Aug 26 11:51:16 2008  7 relations: 97766
Tue Aug 26 11:51:16 2008  8 relations: 76828
Tue Aug 26 11:51:16 2008  9 relations: 58371
Tue Aug 26 11:51:16 2008  10+ relations: 86185
Tue Aug 26 11:51:16 2008  heaviest cycle: 15 relations
Tue Aug 26 11:51:16 2008  commencing cycle optimization
Tue Aug 26 11:51:17 2008  start with 5257576 relations
Tue Aug 26 11:51:28 2008  pruned 115780 relations
Tue Aug 26 11:51:28 2008  memory use: 158.4 MB
Tue Aug 26 11:51:28 2008  distribution of cycle lengths:
Tue Aug 26 11:51:28 2008  1 relations: 27101
Tue Aug 26 11:51:28 2008  2 relations: 94079
Tue Aug 26 11:51:28 2008  3 relations: 130300
Tue Aug 26 11:51:28 2008  4 relations: 140494
Tue Aug 26 11:51:28 2008  5 relations: 138881
Tue Aug 26 11:51:28 2008  6 relations: 120218
Tue Aug 26 11:51:28 2008  7 relations: 100012
Tue Aug 26 11:51:28 2008  8 relations: 76349
Tue Aug 26 11:51:28 2008  9 relations: 56039
Tue Aug 26 11:51:28 2008  10+ relations: 70026
Tue Aug 26 11:51:28 2008  heaviest cycle: 15 relations
Tue Aug 26 11:51:29 2008  
Tue Aug 26 11:51:29 2008  commencing linear algebra
Tue Aug 26 11:51:30 2008  read 953499 cycles
Tue Aug 26 11:51:31 2008  cycles contain 2367107 unique relations
Tue Aug 26 11:51:56 2008  read 2367107 relations
Tue Aug 26 11:52:00 2008  using 32 quadratic characters above 134213508
Tue Aug 26 11:52:21 2008  building initial matrix
Tue Aug 26 11:52:40 2008  
Tue Aug 26 11:52:40 2008  
Tue Aug 26 11:52:40 2008  Msieve v. 1.36
Tue Aug 26 11:52:40 2008  random seeds: 091c43c1 ad0d2b3e
Tue Aug 26 11:52:40 2008  factoring 60946499131512387375948479892734161528538198218330675388787875709772771135738011315733338750799922801101100084309323798592135870062063851615590114477840868690767621156561398519 (176 digits)
Tue Aug 26 11:52:42 2008  no P-1/P+1/ECM available, skipping
Tue Aug 26 11:52:42 2008  commencing number field sieve (176-digit input)
Tue Aug 26 11:52:42 2008  R0: -1000000000000000000000000000000000000
Tue Aug 26 11:52:42 2008  R1:  1
Tue Aug 26 11:52:42 2008  A0: -7
Tue Aug 26 11:52:42 2008  A1:  0
Tue Aug 26 11:52:42 2008  A2:  0
Tue Aug 26 11:52:42 2008  A3:  0
Tue Aug 26 11:52:42 2008  A4:  0
Tue Aug 26 11:52:42 2008  A5:  6
Tue Aug 26 11:52:42 2008  size score = 2.794913e-12, Murphy alpha = 1.791017, combined = 1.538481e-12
Tue Aug 26 11:52:42 2008  
Tue Aug 26 11:52:42 2008  commencing linear algebra
Tue Aug 26 11:52:42 2008  read 953499 cycles
Tue Aug 26 11:52:44 2008  cycles contain 2367107 unique relations
Tue Aug 26 11:53:13 2008  read 2367107 relations
Tue Aug 26 11:53:17 2008  using 32 quadratic characters above 134213508
Tue Aug 26 11:53:38 2008  building initial matrix
Tue Aug 26 11:54:12 2008  memory use: 311.7 MB
Tue Aug 26 11:54:14 2008  read 953499 cycles
Tue Aug 26 11:54:16 2008  matrix is 953311 x 953499 (283.2 MB) with weight 89798014 (94.18/col)
Tue Aug 26 11:54:16 2008  sparse part has weight 63743099 (66.85/col)
Tue Aug 26 11:54:24 2008  filtering completed in 2 passes
Tue Aug 26 11:54:24 2008  matrix is 952824 x 953012 (283.1 MB) with weight 89772381 (94.20/col)
Tue Aug 26 11:54:24 2008  sparse part has weight 63730580 (66.87/col)
Tue Aug 26 11:54:34 2008  read 953012 cycles
Tue Aug 26 11:54:34 2008  matrix is 952824 x 953012 (283.1 MB) with weight 89772381 (94.20/col)
Tue Aug 26 11:54:34 2008  sparse part has weight 63730580 (66.87/col)
Tue Aug 26 11:54:35 2008  saving the first 48 matrix rows for later
Tue Aug 26 11:54:35 2008  matrix is 952776 x 953012 (270.1 MB) with weight 68365485 (71.74/col)
Tue Aug 26 11:54:35 2008  sparse part has weight 61268317 (64.29/col)
Tue Aug 26 11:54:35 2008  matrix includes 64 packed rows
Tue Aug 26 11:54:35 2008  using block size 65536 for processor cache size 4096 kB
Tue Aug 26 11:54:40 2008  commencing Lanczos iteration (4 threads)
Tue Aug 26 11:54:40 2008  memory use: 279.2 MB
Tue Aug 26 13:05:42 2008  lanczos halted after 15067 iterations (dim = 952776)
Tue Aug 26 13:05:44 2008  recovered 49 nontrivial dependencies
Tue Aug 26 13:05:44 2008  elapsed time 01:13:04
Tue Aug 26 13:16:40 2008  
Tue Aug 26 13:16:40 2008  
Tue Aug 26 13:16:40 2008  Msieve v. 1.36
Tue Aug 26 13:16:40 2008  random seeds: d1ae08a7 def52c6a
Tue Aug 26 13:16:40 2008  factoring 60946499131512387375948479892734161528538198218330675388787875709772771135738011315733338750799922801101100084309323798592135870062063851615590114477840868690767621156561398519 (176 digits)
Tue Aug 26 13:16:42 2008  no P-1/P+1/ECM available, skipping
Tue Aug 26 13:16:42 2008  commencing number field sieve (176-digit input)
Tue Aug 26 13:16:42 2008  R0: -1000000000000000000000000000000000000
Tue Aug 26 13:16:42 2008  R1:  1
Tue Aug 26 13:16:42 2008  A0: -7
Tue Aug 26 13:16:42 2008  A1:  0
Tue Aug 26 13:16:42 2008  A2:  0
Tue Aug 26 13:16:42 2008  A3:  0
Tue Aug 26 13:16:42 2008  A4:  0
Tue Aug 26 13:16:42 2008  A5:  6
Tue Aug 26 13:16:42 2008  size score = 2.794913e-12, Murphy alpha = 1.791017, combined = 1.538481e-12
Tue Aug 26 13:16:42 2008  
Tue Aug 26 13:16:42 2008  commencing square root phase
Tue Aug 26 13:16:42 2008  reading relations for dependency 1
Tue Aug 26 13:16:42 2008  read 476023 cycles
Tue Aug 26 13:16:43 2008  cycles contain 1540727 unique relations
Tue Aug 26 13:17:11 2008  read 1540727 relations
Tue Aug 26 13:17:20 2008  multiplying 2569832 relations
Tue Aug 26 13:20:01 2008  multiply complete, coefficients have about 64.69 million bits
Tue Aug 26 13:20:03 2008  initial square root is modulo 1936936291
Tue Aug 26 13:25:03 2008  reading relations for dependency 2
Tue Aug 26 13:25:03 2008  read 476612 cycles
Tue Aug 26 13:25:04 2008  cycles contain 1542603 unique relations
Tue Aug 26 13:25:25 2008  read 1542603 relations
Tue Aug 26 13:25:34 2008  multiplying 2570336 relations
Tue Aug 26 13:28:16 2008  multiply complete, coefficients have about 64.70 million bits
Tue Aug 26 13:28:17 2008  initial square root is modulo 1946412371
Tue Aug 26 13:33:19 2008  reading relations for dependency 3
Tue Aug 26 13:33:19 2008  read 476357 cycles
Tue Aug 26 13:33:20 2008  cycles contain 1541319 unique relations
Tue Aug 26 13:33:33 2008  read 1541319 relations
Tue Aug 26 13:33:41 2008  multiplying 2568952 relations
Tue Aug 26 13:36:23 2008  multiply complete, coefficients have about 64.67 million bits
Tue Aug 26 13:36:24 2008  initial square root is modulo 1924029001
Tue Aug 26 13:41:25 2008  prp61 factor: 4830487850130825355136992625082278853531328717363811995759451
Tue Aug 26 13:41:25 2008  prp116 factor: 12617048427077972576764760920138324767170820384685368004188695290274577720048489648872812603297601032348850349016469
Tue Aug 26 13:41:25 2008  elapsed time 00:24:45
software ソフトウェア
Msieve-1.36
optimized 64-bit linux lattice siever from Greg Childers
execution environment 実行環境
ubuntu-8.0.4 64-bit(hardy)
Intel Core 2 Quad Q6600 @2.4Ghz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10181-7

c171

name 名前Robert Backstrom
date 日付February 9, 2012 05:09:31 UTC 2012 年 2 月 9 日 (木) 14 時 9 分 31 秒 (日本時間)
composite number 合成数
340440914804751462847842330586700586947654395133665335836397613982583928364844535773701261602916131116881455615162782946670320234004418188255147128918715867239867624264477<171>
prime factors 素因数
89899333984936105365387819186986113099<38>
1289747829959069521869855916958833257526365034799135453<55>
2936165076289167327584889888926912970057218559655263629096011171234579616000291<79>
factorization results 素因数分解の結果
Number: n
N=340440914804751462847842330586700586947654395133665335836397613982583928364844535773701261602916131116881455615162782946670320234004418188255147128918715867239867624264477
  ( 171 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Feb  9 16:06:23 2012  prp38 factor: 89899333984936105365387819186986113099
Thu Feb  9 16:06:23 2012  prp55 factor: 1289747829959069521869855916958833257526365034799135453
Thu Feb  9 16:06:23 2012  prp79 factor: 2936165076289167327584889888926912970057218559655263629096011171234579616000291
Thu Feb  9 16:06:23 2012  elapsed time 02:55:11 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_59993_181
n: 340440914804751462847842330586700586947654395133665335836397613982583928364844535773701261602916131116881455615162782946670320234004418188255147128918715867239867624264477
m: 1000000000000000000000000000000000000
deg: 5
c5: 60
c0: -7
skew: 0.65
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5798520 hash collisions in 76777237 relations (73793555 unique)
Msieve: matrix is 1097317 x 1097565 (303.1 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,181,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 31, 2011 06:42:35 UTC 2011 年 5 月 31 日 (火) 15 時 42 分 35 秒 (日本時間)

6×10182-7

c156

name 名前Ignacio Santos
date 日付October 1, 2013 20:34:32 UTC 2013 年 10 月 2 日 (水) 5 時 34 分 32 秒 (日本時間)
composite number 合成数
157092932127311105076665232199918705526549017639297157081198334873673530961798873925465569119296702732899550039020599757450802035703764135054078632315618451<156>
prime factors 素因数
1896512920414855022583134389866614561<37>
composite cofactor 合成数の残り
82832513523265436445512411703985946089866563631885680600597058231893937896593786418592915456589493505212403224209629491<119>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3339309730
Step 1 took 25312ms
Step 2 took 15547ms
********** Factor found in step 2: 1896512920414855022583134389866614561
Found probable prime factor of 37 digits: 1896512920414855022583134389866614561
Composite cofactor 82832513523265436445512411703985946089866563631885680600597058231893937896593786418592915456589493505212403224209629491 has 119 digits
software ソフトウェア
GMP-ECM 7.0

c119

name 名前Erik Branger
date 日付October 22, 2013 12:43:46 UTC 2013 年 10 月 22 日 (火) 21 時 43 分 46 秒 (日本時間)
composite number 合成数
82832513523265436445512411703985946089866563631885680600597058231893937896593786418592915456589493505212403224209629491<119>
prime factors 素因数
119444117471123006175538348935209835922752509<45>
693483406943763074018225167605758299531812440746406449298386871209348597999<75>
factorization results 素因数分解の結果
Number: 59993_182
N = 82832513523265436445512411703985946089866563631885680600597058231893937896593786418592915456589493505212403224209629491 (119 digits)
Divisors found:
r1=119444117471123006175538348935209835922752509 (pp45)
r2=693483406943763074018225167605758299531812440746406449298386871209348597999 (pp75)
Version: Msieve v. 1.51 (SVN 845)
Total time: 15.76 hours.
Factorization parameters were as follows:
# Murphy_E = 3.183e-10, selected by Erik Branger
n: 82832513523265436445512411703985946089866563631885680600597058231893937896593786418592915456589493505212403224209629491
Y0: -91692529969791981121447
Y1: 144570077087
c0: -507840518163786796096940160
c1: 967203352165659083444352
c2: -34262207663805270992
c3: -714468034318307
c4: 3858871180
c5: 12780
skew: 83361.51
type: gnfs
# selected mechanically
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9382090
Relations: 1031694 relations
Pruned matrix : 613252 x 613481
Polynomial selection time: 0.00 hours.
Total sieving time: 15.41 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.25 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,118,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4900000,4900000,27,27,51,51,2.5,2.5,100000
total time: 15.76 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMay 31, 2011 06:42:44 UTC 2011 年 5 月 31 日 (火) 15 時 42 分 44 秒 (日本時間)
4511e6690 / 4413230Ignacio SantosOctober 2, 2013 17:44:04 UTC 2013 年 10 月 3 日 (木) 2 時 44 分 4 秒 (日本時間)
230Ignacio SantosOctober 9, 2013 17:43:14 UTC 2013 年 10 月 10 日 (木) 2 時 43 分 14 秒 (日本時間)
230Ignacio SantosOctober 12, 2013 17:41:52 UTC 2013 年 10 月 13 日 (日) 2 時 41 分 52 秒 (日本時間)

6×10185-7

c112

name 名前Jo Yeong Uk
date 日付October 5, 2007 08:45:54 UTC 2007 年 10 月 5 日 (金) 17 時 45 分 54 秒 (日本時間)
composite number 合成数
5496591010807901243959700004966756355343953965432332097077840850790392390952200017975624837864532764649639543439<112>
prime factors 素因数
1567828725851495950483147060696472797473131<43>
3505861909643653215337674382799814173297028903124851463841838321295469<70>
factorization results 素因数分解の結果
Number: 59993_185
N=5496591010807901243959700004966756355343953965432332097077840850790392390952200017975624837864532764649639543439
  ( 112 digits)
Divisors found:
 r1=1567828725851495950483147060696472797473131 (pp43)
 r2=3505861909643653215337674382799814173297028903124851463841838321295469 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.45 hours.
Scaled time: 37.14 units (timescale=2.129).
Factorization parameters were as follows:
name: 59993_185
n: 5496591010807901243959700004966756355343953965432332097077840850790392390952200017975624837864532764649639543439
skew: 31918.14
# norm 4.35e+15
c5: 49500
c4: 1148015948
c3: -102222124732255
c2: -6099585714717477637
c1: 33741417547897847981555
c0: 598316031826581667570223049
# alpha -6.53
Y1: 598253464301
Y0: -2565057913790794214018
# Murphy_E 7.81e-10
# M 3628664822376311219602672466853507363069765951502221673628741042021637214537904922189021557595578069943077896990
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1400000, 2240001)
Primes: RFBsize:203362, AFBsize:203437, largePrimes:7582629 encountered
Relations: rels:7467623, finalFF:565840
Max relations in full relation-set: 28
Initial matrix: 406880 x 565840 with sparse part having weight 52660477.
Pruned matrix : 291699 x 293797 with weight 29738311.
Polynomial selection time: 0.94 hours.
Total sieving time: 15.79 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,50,50,2.6,2.6,70000
total time: 17.45 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10186-7

c154

name 名前Serge Batalov
date 日付January 9, 2014 05:28:33 UTC 2014 年 1 月 9 日 (木) 14 時 28 分 33 秒 (日本時間)
composite number 合成数
1922540558635757708371661590092682882375780001116737165100483780589808694897884436934101020647230281214348920254766171269429442186753205233947807636088119<154>
prime factors 素因数
412259044618623205200217317135691<33>
composite cofactor 合成数の残り
4663428452890053884719447925108332435102634049067016520851190872320413549605067944877603942767308335710983308533900195909<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3176142533
Step 1 took 10444ms
Step 2 took 5247ms
********** Factor found in step 2: 412259044618623205200217317135691
Found probable prime factor of 33 digits: 412259044618623205200217317135691
Composite cofactor 

c121

name 名前Cyp
date 日付January 14, 2014 05:19:11 UTC 2014 年 1 月 14 日 (火) 14 時 19 分 11 秒 (日本時間)
composite number 合成数
4663428452890053884719447925108332435102634049067016520851190872320413549605067944877603942767308335710983308533900195909<121>
prime factors 素因数
621191601891255108800185779424397210713201773373<48>
7507230359669973183883611707232379215093016535627310059290977680619000233<73>
factorization results 素因数分解の結果
01/14/14 05:35:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/14 05:42:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/14 05:47:56 v1.34.3, nfs: commencing msieve filtering
01/14/14 05:50:15 v1.34.3, nfs: commencing msieve linear algebra
01/14/14 06:08:51 v1.34.3, nfs: commencing msieve sqrt
01/14/14 06:19:10 v1.34.3, prp73 = 7507230359669973183883611707232379215093016535627310059290977680619000233
01/14/14 06:19:10 v1.34.3, prp48 = 621191601891255108800185779424397210713201773373
01/14/14 06:19:10 v1.34.3, NFS elapsed time = 21288.4007 seconds.
01/14/14 06:19:10 v1.34.3, 
01/14/14 06:19:10 v1.34.3, 
01/14/14 06:19:10 v1.34.3, Total factoring time = 30215.4036 seconds
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336300Dmitry DomanovMay 31, 2011 06:42:55 UTC 2011 年 5 月 31 日 (火) 15 時 42 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:13 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 13 秒 (日本時間)

6×10187-7

c157

name 名前Serge Batalov
date 日付January 9, 2014 06:08:26 UTC 2014 年 1 月 9 日 (木) 15 時 8 分 26 秒 (日本時間)
composite number 合成数
7661584556701061180944284104449147104642920353508437153581052318432277126809998110301007251533255177475684518918714456697316805886463749676319312692377319327<157>
prime factors 素因数
107377163645117440961264816108776747<36>
composite cofactor 合成数の残り
71352085458530752974796412499777194850068361690034591876569230345627581512296207625079546220642733619700495370074323234141<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1869756375
Step 1 took 11410ms
Step 2 took 4727ms
********** Factor found in step 2: 107377163645117440961264816108776747
Found probable prime factor of 36 digits: 107377163645117440961264816108776747
Composite cofactor 

c122

name 名前Cyp
date 日付January 15, 2014 12:11:50 UTC 2014 年 1 月 15 日 (水) 21 時 11 分 50 秒 (日本時間)
composite number 合成数
71352085458530752974796412499777194850068361690034591876569230345627581512296207625079546220642733619700495370074323234141<122>
prime factors 素因数
1018854502130800326093309116539494197433692748956528407153<58>
70031673128309529021204141202795641424718070146335772581779425197<65>
factorization results 素因数分解の結果
01/15/14 07:07:20 v1.34.3, nfs: commencing nfs on c122: 71352085458530752974796412499777194850068361690034591876569230345627581512296207625079546220642733619700495370074323234141
01/15/14 07:07:20 v1.34.3, nfs: commencing poly selection with 8 threads
01/15/14 07:07:20 v1.34.3, nfs: setting deadline of 2435 seconds
01/15/14 07:51:07 v1.34.3, nfs: completed 193 ranges of size 250 in 2626.8202 seconds
01/15/14 07:51:07 v1.34.3, nfs: best poly = # norm 1.255488e-11 alpha -7.967050 e 2.259e-10 rroots 3
01/15/14 07:51:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 07:57:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
[42 lines snipped]
01/15/14 12:14:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 12:20:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 12:26:41 v1.34.3, nfs: commencing msieve filtering
01/15/14 12:28:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 12:34:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 12:40:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 12:47:07 v1.34.3, nfs: commencing msieve filtering
01/15/14 12:49:25 v1.34.3, nfs: commencing msieve linear algebra
01/15/14 13:09:48 v1.34.3, nfs: commencing msieve sqrt
01/15/14 13:11:48 v1.34.3, prp65 = 70031673128309529021204141202795641424718070146335772581779425197
01/15/14 13:11:48 v1.34.3, prp58 = 1018854502130800326093309116539494197433692748956528407153
01/15/14 13:11:48 v1.34.3, NFS elapsed time = 21868.5005 seconds.
01/15/14 13:11:48 v1.34.3, 
01/15/14 13:11:48 v1.34.3, 
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336300Dmitry DomanovMay 31, 2011 06:43:04 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:14 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 14 秒 (日本時間)

6×10188-7

c138

name 名前LegionMammal978
date 日付January 25, 2017 00:59:53 UTC 2017 年 1 月 25 日 (水) 9 時 59 分 53 秒 (日本時間)
composite number 合成数
312297016861894787823059640939950404416965319490273709945359722179867780054071457407967075343648662418642786754047283079345566061442555349<138>
prime factors 素因数
1037060249318566926853395903833359908179576427623996733169<58>
301136811546965926765661306873457648000605131623211291420171151020499225193725221<81>
factorization results 素因数分解の結果
Tue Jan 24 07:00:24 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Jan 24 07:00:24 2017  random seeds: a7c6a9f7 5cd7069d
Tue Jan 24 07:00:24 2017  factoring 312297016861894787823059640939950404416965319490273709945359722179867780054071457407967075343648662418642786754047283079345566061442555349 (138 digits)
Tue Jan 24 07:00:24 2017  no P-1/P+1/ECM available, skipping
Tue Jan 24 07:00:24 2017  commencing number field sieve (138-digit input)
Tue Jan 24 07:00:24 2017  R0: -10000000000000000000000000000000000000
Tue Jan 24 07:00:24 2017  R1: 1
Tue Jan 24 07:00:24 2017  A0: -7
Tue Jan 24 07:00:24 2017  A1: 0
Tue Jan 24 07:00:24 2017  A2: 0
Tue Jan 24 07:00:24 2017  A3: 0
Tue Jan 24 07:00:24 2017  A4: 0
Tue Jan 24 07:00:24 2017  A5: 6000
Tue Jan 24 07:00:24 2017  skew 0.26, size 2.513e-13, alpha 0.209, combined = 3.628e-11 rroots = 1
Tue Jan 24 07:00:24 2017  
Tue Jan 24 07:00:24 2017  commencing relation filtering
Tue Jan 24 07:00:24 2017  estimated available RAM is 15929.4 MB
Tue Jan 24 07:00:24 2017  commencing duplicate removal, pass 1
Tue Jan 24 07:03:18 2017  found 3311533 hash collisions in 22185022 relations
Tue Jan 24 07:03:37 2017  added 336 free relations
Tue Jan 24 07:03:37 2017  commencing duplicate removal, pass 2
Tue Jan 24 07:03:42 2017  found 3002858 duplicates and 19182500 unique relations
Tue Jan 24 07:03:42 2017  memory use: 98.6 MB
Tue Jan 24 07:03:42 2017  reading ideals above 720000
Tue Jan 24 07:03:43 2017  commencing singleton removal, initial pass
Tue Jan 24 07:05:56 2017  memory use: 689.0 MB
Tue Jan 24 07:05:56 2017  reading all ideals from disk
Tue Jan 24 07:05:56 2017  memory use: 611.8 MB
Tue Jan 24 07:05:57 2017  keeping 21381075 ideals with weight <= 200, target excess is 116477
Tue Jan 24 07:05:58 2017  commencing in-memory singleton removal
Tue Jan 24 07:05:58 2017  begin with 19182500 relations and 21381075 unique ideals
Tue Jan 24 07:06:06 2017  reduce to 7707092 relations and 7547170 ideals in 19 passes
Tue Jan 24 07:06:06 2017  max relations containing the same ideal: 103
Tue Jan 24 07:06:08 2017  removing 225271 relations and 212867 ideals in 12404 cliques
Tue Jan 24 07:06:09 2017  commencing in-memory singleton removal
Tue Jan 24 07:06:09 2017  begin with 7481821 relations and 7547170 unique ideals
Tue Jan 24 07:06:11 2017  reduce to 7475899 relations and 7328361 ideals in 8 passes
Tue Jan 24 07:06:11 2017  max relations containing the same ideal: 101
Tue Jan 24 07:06:13 2017  removing 161261 relations and 148857 ideals in 12404 cliques
Tue Jan 24 07:06:13 2017  commencing in-memory singleton removal
Tue Jan 24 07:06:14 2017  begin with 7314638 relations and 7328361 unique ideals
Tue Jan 24 07:06:16 2017  reduce to 7311416 relations and 7176277 ideals in 7 passes
Tue Jan 24 07:06:16 2017  max relations containing the same ideal: 100
Tue Jan 24 07:06:17 2017  relations with 0 large ideals: 2961
Tue Jan 24 07:06:17 2017  relations with 1 large ideals: 960
Tue Jan 24 07:06:17 2017  relations with 2 large ideals: 16665
Tue Jan 24 07:06:17 2017  relations with 3 large ideals: 130465
Tue Jan 24 07:06:17 2017  relations with 4 large ideals: 558403
Tue Jan 24 07:06:17 2017  relations with 5 large ideals: 1389738
Tue Jan 24 07:06:17 2017  relations with 6 large ideals: 2148099
Tue Jan 24 07:06:17 2017  relations with 7+ large ideals: 3064125
Tue Jan 24 07:06:17 2017  commencing 2-way merge
Tue Jan 24 07:06:20 2017  reduce to 4242677 relation sets and 4107541 unique ideals
Tue Jan 24 07:06:20 2017  ignored 3 oversize relation sets
Tue Jan 24 07:06:20 2017  commencing full merge
Tue Jan 24 07:07:04 2017  memory use: 492.9 MB
Tue Jan 24 07:07:04 2017  found 2166188 cycles, need 2157741
Tue Jan 24 07:07:05 2017  weight of 2157741 cycles is about 151257782 (70.10/cycle)
Tue Jan 24 07:07:05 2017  distribution of cycle lengths:
Tue Jan 24 07:07:05 2017  1 relations: 330991
Tue Jan 24 07:07:05 2017  2 relations: 285296
Tue Jan 24 07:07:05 2017  3 relations: 263404
Tue Jan 24 07:07:05 2017  4 relations: 226004
Tue Jan 24 07:07:05 2017  5 relations: 191665
Tue Jan 24 07:07:05 2017  6 relations: 157083
Tue Jan 24 07:07:05 2017  7 relations: 131096
Tue Jan 24 07:07:05 2017  8 relations: 106600
Tue Jan 24 07:07:05 2017  9 relations: 86294
Tue Jan 24 07:07:05 2017  10+ relations: 379308
Tue Jan 24 07:07:05 2017  heaviest cycle: 28 relations
Tue Jan 24 07:07:05 2017  commencing cycle optimization
Tue Jan 24 07:07:07 2017  start with 12380559 relations
Tue Jan 24 07:07:18 2017  pruned 261967 relations
Tue Jan 24 07:07:19 2017  memory use: 418.4 MB
Tue Jan 24 07:07:19 2017  distribution of cycle lengths:
Tue Jan 24 07:07:19 2017  1 relations: 330991
Tue Jan 24 07:07:19 2017  2 relations: 291262
Tue Jan 24 07:07:19 2017  3 relations: 271813
Tue Jan 24 07:07:19 2017  4 relations: 229734
Tue Jan 24 07:07:19 2017  5 relations: 194690
Tue Jan 24 07:07:19 2017  6 relations: 158095
Tue Jan 24 07:07:19 2017  7 relations: 130699
Tue Jan 24 07:07:19 2017  8 relations: 104857
Tue Jan 24 07:07:19 2017  9 relations: 84939
Tue Jan 24 07:07:19 2017  10+ relations: 360661
Tue Jan 24 07:07:19 2017  heaviest cycle: 28 relations
Tue Jan 24 07:07:21 2017  RelProcTime: 417
Tue Jan 24 07:07:21 2017  elapsed time 00:06:57
Tue Jan 24 07:07:21 2017 LatSieveTime: 1171.54
Tue Jan 24 07:07:21 2017 -> Running matrix solving step ...
Tue Jan 24 07:07:21 2017 -> ./msieve -s 59993_188/59993_188.dat -l 59993_188/59993_188.log -i 59993_188/59993_188.ini -nf 59993_188/59993_188.fb -t 6 -nc2
Tue Jan 24 07:07:21 2017  
Tue Jan 24 07:07:21 2017  
Tue Jan 24 07:07:21 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Jan 24 07:07:21 2017  random seeds: fd65343b d8ed1b9a
Tue Jan 24 07:07:21 2017  factoring 312297016861894787823059640939950404416965319490273709945359722179867780054071457407967075343648662418642786754047283079345566061442555349 (138 digits)
Tue Jan 24 07:07:22 2017  no P-1/P+1/ECM available, skipping
Tue Jan 24 07:07:22 2017  commencing number field sieve (138-digit input)
Tue Jan 24 07:07:22 2017  R0: -10000000000000000000000000000000000000
Tue Jan 24 07:07:22 2017  R1: 1
Tue Jan 24 07:07:22 2017  A0: -7
Tue Jan 24 07:07:22 2017  A1: 0
Tue Jan 24 07:07:22 2017  A2: 0
Tue Jan 24 07:07:22 2017  A3: 0
Tue Jan 24 07:07:22 2017  A4: 0
Tue Jan 24 07:07:22 2017  A5: 6000
Tue Jan 24 07:07:22 2017  skew 0.26, size 2.513e-13, alpha 0.209, combined = 3.628e-11 rroots = 1
Tue Jan 24 07:07:22 2017  
Tue Jan 24 07:07:22 2017  commencing linear algebra
Tue Jan 24 07:07:22 2017  read 2157741 cycles
Tue Jan 24 07:07:24 2017  cycles contain 7121323 unique relations
Tue Jan 24 07:07:58 2017  read 7121323 relations
Tue Jan 24 07:08:03 2017  using 20 quadratic characters above 4294917295
Tue Jan 24 07:08:30 2017  building initial matrix
Tue Jan 24 07:09:10 2017  memory use: 865.5 MB
Tue Jan 24 07:09:11 2017  read 2157741 cycles
Tue Jan 24 07:09:11 2017  matrix is 2157563 x 2157741 (648.3 MB) with weight 189905558 (88.01/col)
Tue Jan 24 07:09:11 2017  sparse part has weight 146201951 (67.76/col)
Tue Jan 24 07:09:23 2017  filtering completed in 2 passes
Tue Jan 24 07:09:23 2017  matrix is 2154831 x 2155009 (648.0 MB) with weight 189809218 (88.08/col)
Tue Jan 24 07:09:23 2017  sparse part has weight 146165953 (67.83/col)
Tue Jan 24 07:09:28 2017  matrix starts at (0, 0)
Tue Jan 24 07:09:28 2017  matrix is 2154831 x 2155009 (648.0 MB) with weight 189809218 (88.08/col)
Tue Jan 24 07:09:28 2017  sparse part has weight 146165953 (67.83/col)
Tue Jan 24 07:09:28 2017  saving the first 48 matrix rows for later
Tue Jan 24 07:09:28 2017  matrix includes 64 packed rows
Tue Jan 24 07:09:28 2017  matrix is 2154783 x 2155009 (614.1 MB) with weight 151239622 (70.18/col)
Tue Jan 24 07:09:28 2017  sparse part has weight 139443315 (64.71/col)
Tue Jan 24 07:09:28 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Tue Jan 24 07:09:33 2017  commencing Lanczos iteration (6 threads)
Tue Jan 24 07:09:33 2017  memory use: 494.2 MB
Tue Jan 24 07:09:38 2017  linear algebra at 0.1%, ETA 1h58m
Tue Jan 24 07:09:40 2017  checkpointing every 1050000 dimensions
Tue Jan 24 09:07:37 2017  lanczos halted after 34075 iterations (dim = 2154782)
Tue Jan 24 09:07:39 2017  recovered 39 nontrivial dependencies
Tue Jan 24 09:07:39 2017  BLanczosTime: 7217
Tue Jan 24 09:07:39 2017  elapsed time 02:00:18
Tue Jan 24 09:07:39 2017 -> Running square root step ...
Tue Jan 24 09:07:39 2017 -> ./msieve -s 59993_188/59993_188.dat -l 59993_188/59993_188.log -i 59993_188/59993_188.ini -nf 59993_188/59993_188.fb -t 6 -nc3
Tue Jan 24 09:07:39 2017  
Tue Jan 24 09:07:39 2017  
Tue Jan 24 09:07:39 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Jan 24 09:07:39 2017  random seeds: 084d2f01 14881043
Tue Jan 24 09:07:39 2017  factoring 312297016861894787823059640939950404416965319490273709945359722179867780054071457407967075343648662418642786754047283079345566061442555349 (138 digits)
Tue Jan 24 09:07:40 2017  no P-1/P+1/ECM available, skipping
Tue Jan 24 09:07:40 2017  commencing number field sieve (138-digit input)
Tue Jan 24 09:07:40 2017  R0: -10000000000000000000000000000000000000
Tue Jan 24 09:07:40 2017  R1: 1
Tue Jan 24 09:07:40 2017  A0: -7
Tue Jan 24 09:07:40 2017  A1: 0
Tue Jan 24 09:07:40 2017  A2: 0
Tue Jan 24 09:07:40 2017  A3: 0
Tue Jan 24 09:07:40 2017  A4: 0
Tue Jan 24 09:07:40 2017  A5: 6000
Tue Jan 24 09:07:40 2017  skew 0.26, size 2.513e-13, alpha 0.209, combined = 3.628e-11 rroots = 1
Tue Jan 24 09:07:40 2017  
Tue Jan 24 09:07:40 2017  commencing square root phase
Tue Jan 24 09:07:40 2017  reading relations for dependency 1
Tue Jan 24 09:07:40 2017  read 1076266 cycles
Tue Jan 24 09:07:41 2017  cycles contain 3558420 unique relations
Tue Jan 24 09:07:59 2017  read 3558420 relations
Tue Jan 24 09:08:09 2017  multiplying 3558420 relations
Tue Jan 24 09:09:58 2017  multiply complete, coefficients have about 121.61 million bits
Tue Jan 24 09:09:58 2017  initial square root is modulo 535690721
Tue Jan 24 09:12:12 2017  sqrtTime: 272
Tue Jan 24 09:12:12 2017  p58 factor: 1037060249318566926853395903833359908179576427623996733169
Tue Jan 24 09:12:12 2017  p81 factor: 301136811546965926765661306873457648000605131623211291420171151020499225193725221
Tue Jan 24 09:12:12 2017  elapsed time 00:04:33
software ソフトウェア
GGNFS/Msieve v1.53
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovMay 31, 2011 06:43:12 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:14 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 14 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:38:57 UTC 2014 年 2 月 13 日 (木) 7 時 38 分 57 秒 (日本時間)
4511e61500 / 4015Dmitry DomanovMarch 14, 2014 12:23:49 UTC 2014 年 3 月 14 日 (金) 21 時 23 分 49 秒 (日本時間)

6×10191-7

c163

name 名前Dmitry Domanov
date 日付May 6, 2014 05:25:03 UTC 2014 年 5 月 6 日 (火) 14 時 25 分 3 秒 (日本時間)
composite number 合成数
5091996026295996972355044115180103324059082151797359863108314186510785879831228258665298062386003244406935140078577304241176845795411458295531778807268159964165923<163>
prime factors 素因数
15113395120605769321211905289426490021569<41>
336919400681420253618112131228090053850596762515131939852238806800442702391926508897453516033380232251466104732033697303267<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2478669635
Step 1 took 87839ms
Step 2 took 27732ms
********** Factor found in step 2: 15113395120605769321211905289426490021569
Found probable prime factor of 41 digits: 15113395120605769321211905289426490021569

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovMay 31, 2011 06:43:21 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:15 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 15 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:39:08 UTC 2014 年 2 月 13 日 (木) 7 時 39 分 8 秒 (日本時間)
4511e61000 / 4015Dmitry DomanovMay 5, 2014 07:28:16 UTC 2014 年 5 月 5 日 (月) 16 時 28 分 16 秒 (日本時間)

6×10192-7

c174

composite cofactor 合成数の残り
450223138347727453445888029507317200017408842605839505907602077700532006204676554631157532674327613169565073338157187315240032054971886951606085926439865145020110010721697253<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovMay 31, 2011 06:43:28 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:15 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 15 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:39:16 UTC 2014 年 2 月 13 日 (木) 7 時 39 分 16 秒 (日本時間)
4511e61000 / 4015Dmitry DomanovMay 5, 2014 07:28:32 UTC 2014 年 5 月 5 日 (月) 16 時 28 分 32 秒 (日本時間)

6×10195-7

c144

composite cofactor 合成数の残り
288087093994780899488907687303299659184005519625833852010585314422448025212798848947102390487294265886743778132679410286977809299178855264167227<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovMay 31, 2011 06:43:36 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:19 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 19 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:39:30 UTC 2014 年 2 月 13 日 (木) 7 時 39 分 30 秒 (日本時間)
4511e61500 / 4015Dmitry DomanovMarch 14, 2014 12:24:06 UTC 2014 年 3 月 14 日 (金) 21 時 24 分 6 秒 (日本時間)

6×10198-7

c186

name 名前Serge Batalov
date 日付October 21, 2008 05:04:14 UTC 2008 年 10 月 21 日 (火) 14 時 4 分 14 秒 (日本時間)
composite number 合成数
135349389584481531511188110470898957796052800981776624737256775349746645851443716550356118814553688382160430639310990209496434328623056109352770175633261676590792407262571619130711212129<186>
prime factors 素因数
1599529266754550409912307759727<31>
composite cofactor 合成数の残り
84618263884039984680979205479242373328854046385994102543980925758836773562467373965067601568858438800912633777084401273137347795319481939335873583645268527<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1986207576
Step 1 took 23769ms
********** Factor found in step 1: 1599529266754550409912307759727
Found probable prime factor of 31 digits: 1599529266754550409912307759727
Composite cofactor 84618263884039984680979205479242373328854046385994102543980925758836773562467373965067601568858438800912633777084401273137347795319481939335873583645268527 has 155 digits
software ソフトウェア
GMP-ECM 6.2.1

c155

name 名前Dmitry Domanov
date 日付May 31, 2011 09:45:53 UTC 2011 年 5 月 31 日 (火) 18 時 45 分 53 秒 (日本時間)
composite number 合成数
84618263884039984680979205479242373328854046385994102543980925758836773562467373965067601568858438800912633777084401273137347795319481939335873583645268527<155>
prime factors 素因数
69647709971114263612182443608905343<35>
45610601668477793926926081388624380347<38>
26637377659692163602198554600522012531276958722024202122767771088922418156704594787<83>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3216924143
Step 1 took 60668ms
Step 2 took 23037ms
********** Factor found in step 2: 69647709971114263612182443608905343
Found probable prime factor of 35 digits: 69647709971114263612182443608905343
Composite cofactor 1214946821929028510836003673421086893691662287992630951952107466915429704347037085371219298225315203713084839625601451089 has 121 digits


N=1214946821929028510836003673421086893691662287992630951952107466915429704347037085371219298225315203713084839625601451089
  ( 121 digits)
Divisors found:
 r1=45610601668477793926926081388624380347 (pp38)
 r2=26637377659692163602198554600522012531276958722024202122767771088922418156704594787 (pp83)
Version: Msieve v. 1.48
Total time: 6.76 hours.
Scaled time: 10.53 units (timescale=1.557).
Factorization parameters were as follows:
name: 121
n: 1214946821929028510836003673421086893691662287992630951952107466915429704347037085371219298225315203713084839625601451089
skew: 92898.66
# norm 1.98e+16
c5: 25500
c4: -4781910950
c3: -667537506336091
c2: 28315842795299650522
c1: 3444773796473549827274048
c0: 36295955123939638446854138400
# alpha -5.60
Y1: 6804482531159
Y0: -136648298659084418123773
# Murphy_E 2.77e-10
# M 465052677808573842134204879295430051753711176344344343913760939257508710324137444432570073054576109776151334996265987696
type: gnfs
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2200000, 4300001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 716925 x 717154
Polynomial selection time: 5.98 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 6.76 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 31, 2011 06:43:45 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 45 秒 (日本時間)

6×10199-7

c158

composite cofactor 合成数の残り
55781964164349028590157729436650577589204151561565973350167781774731216241446210447356113943731323558126289951339531039899170613012763212243007429039239372321<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovMay 31, 2011 06:43:53 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:19 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 19 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:39:40 UTC 2014 年 2 月 13 日 (木) 7 時 39 分 40 秒 (日本時間)
4511e61500 / 4015Dmitry DomanovMarch 14, 2014 12:24:20 UTC 2014 年 3 月 14 日 (金) 21 時 24 分 20 秒 (日本時間)

6×10200-7

c151

composite cofactor 合成数の残り
2853965710766612718556617790574434704243009056242575623353149656783643731661545494268713236664822833503804455177796090082835687454287932237544332337097<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovMay 31, 2011 06:44:01 UTC 2011 年 5 月 31 日 (火) 15 時 44 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:20 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 20 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:39:50 UTC 2014 年 2 月 13 日 (木) 7 時 39 分 50 秒 (日本時間)
4511e61500 / 4015Dmitry DomanovMarch 14, 2014 12:24:33 UTC 2014 年 3 月 14 日 (金) 21 時 24 分 33 秒 (日本時間)

6×10201-7

c173

name 名前Serge Batalov
date 日付January 6, 2014 22:12:08 UTC 2014 年 1 月 7 日 (火) 7 時 12 分 8 秒 (日本時間)
composite number 合成数
11597785197324354984670011536674592157507728460886534173607246712538417745824804955180458767593881866356002190143811552442122143829737463767998280657828920912906332459558367<173>
prime factors 素因数
3547211439276896118449457056186959<34>
composite cofactor 合成数の残り
3269550010159129191334502171668099756739664528924157771818243922020755093244974129462793544969517955429661398717090605526319921221879648113<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1424310787
Step 1 took 3628ms
Step 2 took 2756ms
********** Factor found in step 2: 3547211439276896118449457056186959
Found probable prime factor of 34 digits: 3547211439276896118449457056186959
Composite cofactor 

c139

name 名前Erik Branger
date 日付March 1, 2014 09:02:16 UTC 2014 年 3 月 1 日 (土) 18 時 2 分 16 秒 (日本時間)
composite number 合成数
3269550010159129191334502171668099756739664528924157771818243922020755093244974129462793544969517955429661398717090605526319921221879648113<139>
prime factors 素因数
41017411253768868150792082436333055868981909173917<50>
79711271633670150707407854142000413708937270806044717273827983205626316567082134798383589<89>
factorization results 素因数分解の結果
Number: 59993_201
N = 3269550010159129191334502171668099756739664528924157771818243922020755093244974129462793544969517955429661398717090605526319921221879648113 (139 digits)
Divisors found:
r1=41017411253768868150792082436333055868981909173917 (pp50)
r2=79711271633670150707407854142000413708937270806044717273827983205626316567082134798383589 (pp89)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 168.36 hours.
Factorization parameters were as follows:
# Murphy_E = 2.499e-11, selected by Erik Branger
# expecting poly E from 2.53e-011 to > 2.91e-011
n: 3269550010159129191334502171668099756739664528924157771818243922020755093244974129462793544969517955429661398717090605526319921221879648113
Y0: -848365440130366004258986843
Y1: 58760964881341
c0: 97535157014665071744751636091137680
c1: 239060617817881603091505952396
c2: -18819586336129375608564
c3: -184533704151033207
c4: 51277135030
c5: 7440
skew: 1984222.69
type: gnfs
# selected mechanically
rlim: 16600000
alim: 16600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23341736
Relations: 3965262 relations
Pruned matrix : 2438687 x 2438914
Polynomial selection time: 0.00 hours.
Total sieving time: 163.44 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.55 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16600000,16600000,28,28,55,55,2.6,2.6,100000
total time: 168.36 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:58 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 58 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:51:21 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 21 秒 (日本時間)
4511e6690 / 4372230Ignacio SantosFebruary 5, 2014 15:50:22 UTC 2014 年 2 月 6 日 (木) 0 時 50 分 22 秒 (日本時間)
230Ignacio SantosFebruary 5, 2014 19:19:19 UTC 2014 年 2 月 6 日 (木) 4 時 19 分 19 秒 (日本時間)
230Ignacio SantosFebruary 5, 2014 22:44:22 UTC 2014 年 2 月 6 日 (木) 7 時 44 分 22 秒 (日本時間)

6×10202-7

c199

name 名前Serge Batalov
date 日付November 1, 2013 17:22:06 UTC 2013 年 11 月 2 日 (土) 2 時 22 分 6 秒 (日本時間)
composite number 合成数
1285044226938810477393930307768092351845109335846308710458118266903685935190936154719324923432781478229209055278319162151164035895568739157439335203786596988713028206720781306889978796770255509627123<199>
prime factors 素因数
29304115601019678532608859128163658159<38>
composite cofactor 合成数の残り
43852005105183775932699375371637219498640581220292459723088339623406045636819912078647077461793857878353549484422368123070092955380089714795911001533231823782397<161>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1727713119
Step 1 took 252276ms
Step 2 took 69691ms
********** Factor found in step 2: 29304115601019678532608859128163658159
Found probable prime factor of 38 digits: 29304115601019678532608859128163658159
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e61800 / 7553Serge BatalovNovember 1, 2013 16:53:21 UTC 2013 年 11 月 2 日 (土) 1 時 53 分 21 秒 (日本時間)

6×10203-7

c182

name 名前Serge Batalov
date 日付January 9, 2014 17:21:54 UTC 2014 年 1 月 10 日 (金) 2 時 21 分 54 秒 (日本時間)
composite number 合成数
24029656332323767942825450534350586046542467008046614915469692040030025872097707133743065020795930698349958658516899707537629089900849711828502036376900296774543674085312182103205427<182>
prime factors 素因数
167791428673670049774888278616583016267<39>
143211465104442004734481009448674696921951321929459102946061535463538092109500235693148022731218565893444196925501975577958224570303403358743481<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1457802403
Step 1 took 14469ms
Step 2 took 5387ms
********** Factor found in step 2: 167791428673670049774888278616583016267
Found probable prime factor of 39 digits: 167791428673670049774888278616583016267
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590 / 2318290CypJanuary 5, 2014 15:01:56 UTC 2014 年 1 月 6 日 (月) 0 時 1 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:21 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 21 秒 (日本時間)

6×10206-7

c168

composite cofactor 合成数の残り
178123559831343631255991671094228070233645558347807184813143994763568414063277042111088630389537618065930118504329107109988560351307876437459903313947922151705991831733<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 14:50:35 UTC 2014 年 1 月 5 日 (日) 23 時 50 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:22 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 22 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:42:57 UTC 2014 年 2 月 13 日 (木) 7 時 42 分 57 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 5, 2014 07:29:27 UTC 2014 年 5 月 5 日 (月) 16 時 29 分 27 秒 (日本時間)

6×10209-7

c165

name 名前Dmitry Domanov
date 日付February 11, 2014 13:11:03 UTC 2014 年 2 月 11 日 (火) 22 時 11 分 3 秒 (日本時間)
composite number 合成数
807112736270369989223879592234681572834949647814782855225156036558502515505748697574334944883071781801524540028366186621143645743928293470338338032441221468197707541<165>
prime factors 素因数
29818570845730039581013555121715014175341<41>
composite cofactor 合成数の残り
27067452040074782392792403471108164263917450963816948404931310798770927319268751914967824102941090089914822700651413493104201<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=700051721
Step 1 took 19562ms
Step 2 took 8243ms
********** Factor found in step 2: 29818570845730039581013555121715014175341
Found probable prime factor of 41 digits: 29818570845730039581013555121715014175341

c125

name 名前Cyp
date 日付February 16, 2014 18:20:30 UTC 2014 年 2 月 17 日 (月) 3 時 20 分 30 秒 (日本時間)
composite number 合成数
27067452040074782392792403471108164263917450963816948404931310798770927319268751914967824102941090089914822700651413493104201<125>
prime factors 素因数
572878463648348306656074070951385245275469072538326476371<57>
47248157781490066772756840926150893802416713080370380842024732687731<68>
factorization results 素因数分解の結果
02/16/14 09:49:21 v1.34.3, 
02/16/14 09:49:21 v1.34.3, ****************************
02/16/14 09:49:21 v1.34.3, Starting factorization of 27067452040074782392792403471108164263917450963816948404931310798770927319268751914967824102941090089914822700651413493104201
02/16/14 09:49:21 v1.34.3, using pretesting plan: none
02/16/14 09:49:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/16/14 09:49:21 v1.34.3, ****************************
02/16/14 09:49:21 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C125
02/16/14 09:49:21 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C125
02/16/14 09:49:21 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C125
02/16/14 09:49:22 v1.34.3, final ECM pretested depth: 0.00
02/16/14 09:49:22 v1.34.3, scheduler: switching to sieve method
02/16/14 09:49:22 v1.34.3, nfs: commencing nfs on c125: 27067452040074782392792403471108164263917450963816948404931310798770927319268751914967824102941090089914822700651413493104201
02/16/14 09:49:22 v1.34.3, nfs: commencing poly selection with 8 threads
02/16/14 09:49:22 v1.34.3, nfs: setting deadline of 3388 seconds
02/16/14 10:50:01 v1.34.3, nfs: completed 319 ranges of size 250 in 3639.9410 seconds
02/16/14 10:50:01 v1.34.3, nfs: best poly = # norm 6.379473e-12 alpha -6.645154 e 1.551e-10 rroots 5
02/16/14 10:50:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/14 10:55:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[58 lines snipped]
02/16/14 17:33:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/14 17:40:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/14 17:46:38 v1.34.3, nfs: commencing msieve filtering
02/16/14 17:48:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/14 17:55:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/14 18:02:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/14 18:09:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/14 18:16:31 v1.34.3, nfs: commencing msieve filtering
02/16/14 18:18:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/14 18:25:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/14 18:32:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/14 18:39:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/14 18:46:29 v1.34.3, nfs: commencing msieve filtering
02/16/14 18:48:56 v1.34.3, nfs: commencing msieve linear algebra
02/16/14 19:15:12 v1.34.3, nfs: commencing msieve sqrt
02/16/14 19:20:26 v1.34.3, prp57 = 572878463648348306656074070951385245275469072538326476371
02/16/14 19:20:26 v1.34.3, prp68 = 47248157781490066772756840926150893802416713080370380842024732687731
02/16/14 19:20:26 v1.34.3, NFS elapsed time = 34264.5460 seconds.
02/16/14 19:20:26 v1.34.3, 
02/16/14 19:20:26 v1.34.3, 
02/16/14 19:20:26 v1.34.3, Total factoring time = 34264.5751 seconds
--
Sun Feb 16 17:46:38 2014  
Sun Feb 16 17:46:38 2014  commencing relation filtering
Sun Feb 16 17:46:38 2014  estimated available RAM is 15988.7 MB
Sun Feb 16 17:46:38 2014  commencing duplicate removal, pass 1
Sun Feb 16 17:47:15 2014  found 1215363 hash collisions in 10127884 relations
Sun Feb 16 17:47:29 2014  added 63201 free relations
Sun Feb 16 17:47:29 2014  commencing duplicate removal, pass 2
Sun Feb 16 17:47:38 2014  found 712802 duplicates and 9478283 unique relations
Sun Feb 16 17:47:38 2014  memory use: 41.3 MB
Sun Feb 16 17:47:38 2014  reading ideals above 100000
Sun Feb 16 17:47:38 2014  commencing singleton removal, initial pass
Sun Feb 16 17:48:27 2014  memory use: 344.5 MB
Sun Feb 16 17:48:27 2014  reading all ideals from disk
Sun Feb 16 17:48:27 2014  memory use: 344.1 MB
Sun Feb 16 17:48:28 2014  keeping 10950748 ideals with weight <= 200, target excess is 48524
Sun Feb 16 17:48:28 2014  commencing in-memory singleton removal
Sun Feb 16 17:48:29 2014  begin with 9478283 relations and 10950748 unique ideals
Sun Feb 16 17:48:33 2014  reduce to 2746687 relations and 2940745 ideals in 29 passes
Sun Feb 16 17:48:33 2014  max relations containing the same ideal: 85
Sun Feb 16 18:16:31 2014  
Sun Feb 16 18:16:31 2014  commencing relation filtering
Sun Feb 16 18:16:31 2014  estimated available RAM is 15988.7 MB
Sun Feb 16 18:16:31 2014  commencing duplicate removal, pass 1
Sun Feb 16 18:17:17 2014  found 1356613 hash collisions in 10831013 relations
Sun Feb 16 18:17:30 2014  added 83 free relations
Sun Feb 16 18:17:30 2014  commencing duplicate removal, pass 2
Sun Feb 16 18:17:39 2014  found 793625 duplicates and 10037471 unique relations
Sun Feb 16 18:17:39 2014  memory use: 41.3 MB
Sun Feb 16 18:17:39 2014  reading ideals above 720000
Sun Feb 16 18:17:39 2014  commencing singleton removal, initial pass
Sun Feb 16 18:18:38 2014  memory use: 344.5 MB
Sun Feb 16 18:18:38 2014  reading all ideals from disk
Sun Feb 16 18:18:38 2014  memory use: 294.7 MB
Sun Feb 16 18:18:39 2014  commencing in-memory singleton removal
Sun Feb 16 18:18:39 2014  begin with 10037471 relations and 11126388 unique ideals
Sun Feb 16 18:18:46 2014  reduce to 3594789 relations and 3545987 ideals in 20 passes
Sun Feb 16 18:18:46 2014  max relations containing the same ideal: 67
Sun Feb 16 18:46:29 2014  
Sun Feb 16 18:46:29 2014  commencing relation filtering
Sun Feb 16 18:46:29 2014  estimated available RAM is 15988.7 MB
Sun Feb 16 18:46:29 2014  commencing duplicate removal, pass 1
Sun Feb 16 18:47:08 2014  found 1493897 hash collisions in 11460034 relations
Sun Feb 16 18:47:18 2014  added 64 free relations
Sun Feb 16 18:47:18 2014  commencing duplicate removal, pass 2
Sun Feb 16 18:47:30 2014  found 876726 duplicates and 10583372 unique relations
Sun Feb 16 18:47:30 2014  memory use: 41.3 MB
Sun Feb 16 18:47:30 2014  reading ideals above 720000
Sun Feb 16 18:47:30 2014  commencing singleton removal, initial pass
Sun Feb 16 18:48:20 2014  memory use: 344.5 MB
Sun Feb 16 18:48:20 2014  reading all ideals from disk
Sun Feb 16 18:48:20 2014  memory use: 311.0 MB
Sun Feb 16 18:48:21 2014  commencing in-memory singleton removal
Sun Feb 16 18:48:21 2014  begin with 10583372 relations and 11348944 unique ideals
Sun Feb 16 18:48:25 2014  reduce to 4380704 relations and 4127786 ideals in 18 passes
Sun Feb 16 18:48:25 2014  max relations containing the same ideal: 78
Sun Feb 16 18:48:26 2014  removing 557193 relations and 498023 ideals in 59170 cliques
Sun Feb 16 18:48:26 2014  commencing in-memory singleton removal
Sun Feb 16 18:48:27 2014  begin with 3823511 relations and 4127786 unique ideals
Sun Feb 16 18:48:28 2014  reduce to 3761938 relations and 3567074 ideals in 10 passes
Sun Feb 16 18:48:28 2014  max relations containing the same ideal: 71
Sun Feb 16 18:48:29 2014  removing 415753 relations and 356583 ideals in 59170 cliques
Sun Feb 16 18:48:29 2014  commencing in-memory singleton removal
Sun Feb 16 18:48:29 2014  begin with 3346185 relations and 3567074 unique ideals
Sun Feb 16 18:48:30 2014  reduce to 3305916 relations and 3169582 ideals in 9 passes
Sun Feb 16 18:48:30 2014  max relations containing the same ideal: 65
Sun Feb 16 18:48:32 2014  relations with 0 large ideals: 456
Sun Feb 16 18:48:32 2014  relations with 1 large ideals: 2662
Sun Feb 16 18:48:32 2014  relations with 2 large ideals: 35505
Sun Feb 16 18:48:32 2014  relations with 3 large ideals: 197532
Sun Feb 16 18:48:32 2014  relations with 4 large ideals: 573950
Sun Feb 16 18:48:32 2014  relations with 5 large ideals: 936320
Sun Feb 16 18:48:32 2014  relations with 6 large ideals: 891133
Sun Feb 16 18:48:32 2014  relations with 7+ large ideals: 668358
Sun Feb 16 18:48:32 2014  commencing 2-way merge
Sun Feb 16 18:48:33 2014  reduce to 1907317 relation sets and 1770985 unique ideals
Sun Feb 16 18:48:33 2014  ignored 2 oversize relation sets
Sun Feb 16 18:48:33 2014  commencing full merge
Sun Feb 16 18:48:49 2014  memory use: 200.3 MB
Sun Feb 16 18:48:49 2014  found 949350 cycles, need 931185
Sun Feb 16 18:48:49 2014  weight of 931185 cycles is about 65500147 (70.34/cycle)
Sun Feb 16 18:48:49 2014  distribution of cycle lengths:
Sun Feb 16 18:48:49 2014  1 relations: 123322
Sun Feb 16 18:48:49 2014  2 relations: 109737
Sun Feb 16 18:48:49 2014  3 relations: 105965
Sun Feb 16 18:48:49 2014  4 relations: 92946
Sun Feb 16 18:48:49 2014  5 relations: 84246
Sun Feb 16 18:48:49 2014  6 relations: 70440
Sun Feb 16 18:48:49 2014  7 relations: 62481
Sun Feb 16 18:48:49 2014  8 relations: 53216
Sun Feb 16 18:48:49 2014  9 relations: 45042
Sun Feb 16 18:48:49 2014  10+ relations: 183790
Sun Feb 16 18:48:49 2014  heaviest cycle: 21 relations
Sun Feb 16 18:48:50 2014  commencing cycle optimization
Sun Feb 16 18:48:50 2014  start with 5501514 relations
Sun Feb 16 18:48:55 2014  pruned 118846 relations
Sun Feb 16 18:48:55 2014  memory use: 186.1 MB
Sun Feb 16 18:48:55 2014  distribution of cycle lengths:
Sun Feb 16 18:48:55 2014  1 relations: 123322
Sun Feb 16 18:48:55 2014  2 relations: 112137
Sun Feb 16 18:48:55 2014  3 relations: 109398
Sun Feb 16 18:48:55 2014  4 relations: 94843
Sun Feb 16 18:48:55 2014  5 relations: 85820
Sun Feb 16 18:48:55 2014  6 relations: 71375
Sun Feb 16 18:48:55 2014  7 relations: 62800
Sun Feb 16 18:48:55 2014  8 relations: 52858
Sun Feb 16 18:48:55 2014  9 relations: 44795
Sun Feb 16 18:48:55 2014  10+ relations: 173837
Sun Feb 16 18:48:55 2014  heaviest cycle: 21 relations
Sun Feb 16 18:48:56 2014  RelProcTime: 147
Sun Feb 16 18:48:56 2014  
Sun Feb 16 18:48:56 2014  commencing linear algebra
Sun Feb 16 18:48:56 2014  read 931185 cycles
Sun Feb 16 18:48:57 2014  cycles contain 3156133 unique relations
Sun Feb 16 18:49:13 2014  read 3156133 relations
Sun Feb 16 18:49:15 2014  using 20 quadratic characters above 134217104
Sun Feb 16 18:49:25 2014  building initial matrix
Sun Feb 16 18:49:44 2014  memory use: 402.7 MB
Sun Feb 16 18:49:44 2014  read 931185 cycles
Sun Feb 16 18:49:44 2014  matrix is 931002 x 931185 (279.4 MB) with weight 88085696 (94.60/col)
Sun Feb 16 18:49:44 2014  sparse part has weight 62994475 (67.65/col)
Sun Feb 16 18:49:50 2014  filtering completed in 2 passes
Sun Feb 16 18:49:50 2014  matrix is 928170 x 928352 (279.1 MB) with weight 87958268 (94.75/col)
Sun Feb 16 18:49:50 2014  sparse part has weight 62948957 (67.81/col)
Sun Feb 16 18:49:52 2014  matrix starts at (0, 0)
Sun Feb 16 18:49:52 2014  matrix is 928170 x 928352 (279.1 MB) with weight 87958268 (94.75/col)
Sun Feb 16 18:49:52 2014  sparse part has weight 62948957 (67.81/col)
Sun Feb 16 18:49:52 2014  saving the first 48 matrix rows for later
Sun Feb 16 18:49:52 2014  matrix includes 64 packed rows
Sun Feb 16 18:49:52 2014  matrix is 928122 x 928352 (269.9 MB) with weight 69780001 (75.17/col)
Sun Feb 16 18:49:52 2014  sparse part has weight 61474792 (66.22/col)
Sun Feb 16 18:49:52 2014  using block size 65536 for processor cache size 8192 kB
Sun Feb 16 18:49:55 2014  commencing Lanczos iteration (8 threads)
Sun Feb 16 18:49:55 2014  memory use: 259.5 MB
Sun Feb 16 18:50:00 2014  linear algebra at 0.3%, ETA 0h25m
Sun Feb 16 19:15:12 2014  lanczos halted after 14679 iterations (dim = 928121)
Sun Feb 16 19:15:12 2014  recovered 29 nontrivial dependencies
Sun Feb 16 19:15:12 2014  BLanczosTime: 1576
Sun Feb 16 19:15:12 2014  
Sun Feb 16 19:15:12 2014  commencing square root phase
Sun Feb 16 19:15:12 2014  reading relations for dependency 1
Sun Feb 16 19:15:13 2014  read 463956 cycles
Sun Feb 16 19:15:13 2014  cycles contain 1576654 unique relations
Sun Feb 16 19:15:25 2014  read 1576654 relations
Sun Feb 16 19:15:30 2014  multiplying 1576654 relations
Sun Feb 16 19:16:33 2014  multiply complete, coefficients have about 69.47 million bits
Sun Feb 16 19:16:33 2014  initial square root is modulo 96973
Sun Feb 16 19:17:50 2014  GCD is 1, no factor found
Sun Feb 16 19:17:50 2014  reading relations for dependency 2
Sun Feb 16 19:17:50 2014  read 464148 cycles
Sun Feb 16 19:17:51 2014  cycles contain 1577686 unique relations
Sun Feb 16 19:18:03 2014  read 1577686 relations
Sun Feb 16 19:18:07 2014  multiplying 1577686 relations
Sun Feb 16 19:19:08 2014  multiply complete, coefficients have about 69.52 million bits
Sun Feb 16 19:19:09 2014  initial square root is modulo 97729
Sun Feb 16 19:20:26 2014  sqrtTime: 314
--
n: 27067452040074782392792403471108164263917450963816948404931310798770927319268751914967824102941090089914822700651413493104201
skew: 370130.51
c0: -1788259487370311761862373794400
c1: 179459002780248033652142168
c2: 379527548046426706736
c3: -2940769990377988
c4: -2485259997
c5: 7560
Y0: -1290580614492332247537461
Y1: 962592266719
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090 / 2318290CypJanuary 6, 2014 18:44:17 UTC 2014 年 1 月 7 日 (火) 3 時 44 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:22 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 22 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:43:12 UTC 2014 年 2 月 13 日 (木) 7 時 43 分 12 秒 (日本時間)

6×10211-7

c166

name 名前Serge Batalov
date 日付November 1, 2013 23:40:47 UTC 2013 年 11 月 2 日 (土) 8 時 40 分 47 秒 (日本時間)
composite number 合成数
9379329200026809503184685115355139268126996457230908860786898219359702354728207841726458182837843713774234506546858652390553669648916482313182936089882814302626090317<166>
prime factors 素因数
311958711826380670228583913287291701<36>
30065931305828818608073114054487705118744870955170156239926997271894378170487281692260457713367886980427662145483223502717158751417<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3418943530
Step 1 took 12469ms
Step 2 took 10737ms
********** Factor found in step 2: 311958711826380670228583913287291701
Found probable prime factor of 36 digits: 311958711826380670228583913287291701
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)

6×10212-7

c200

name 名前Dmitry Domanov
date 日付February 12, 2014 05:16:45 UTC 2014 年 2 月 12 日 (水) 14 時 16 分 45 秒 (日本時間)
composite number 合成数
47215015295697782720007815306099868225003458293912611265838550124957080473226593822326818588441673255800667642316259188723929862244229817459853447945312326746761914250036839492017941777998772509488667<200>
prime factors 素因数
2567787514036924791971049057952647914417<40>
composite cofactor 合成数の残り
18387430828133090868280056066109722518592936333816776513918926624256868385201688498654044065320973694986233174625657861815034078415761034580043831311471916410251<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=471481761
Step 1 took 25257ms
Step 2 took 8564ms
********** Factor found in step 2: 2567787514036924791971049057952647914417
Found probable prime factor of 40 digits: 2567787514036924791971049057952647914417

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 04:52:58 UTC 2014 年 1 月 4 日 (土) 13 時 52 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:23 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 23 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:43:26 UTC 2014 年 2 月 13 日 (木) 7 時 43 分 26 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMay 5, 2014 07:29:46 UTC 2014 年 5 月 5 日 (月) 16 時 29 分 46 秒 (日本時間)
5043e639 / 7137CypJanuary 30, 2014 11:46:30 UTC 2014 年 1 月 30 日 (木) 20 時 46 分 30 秒 (日本時間)

6×10213-7

c190

composite cofactor 合成数の残り
1542506539062523362845414743045369564363500714752145151633197224103144130400509376378453467840314567926737851205599392882547784895024772119112244288458203605525624748217619919285029152966877<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:59 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 59 秒 (日本時間)
403e6590290CypJanuary 6, 2014 21:53:02 UTC 2014 年 1 月 7 日 (火) 6 時 53 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:24 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 24 秒 (日本時間)
4511e61500 / 4308Dmitry DomanovMay 5, 2014 07:30:37 UTC 2014 年 5 月 5 日 (月) 16 時 30 分 37 秒 (日本時間)

6×10216-7

c192

name 名前Cyp
date 日付January 11, 2014 01:14:35 UTC 2014 年 1 月 11 日 (土) 10 時 14 分 35 秒 (日本時間)
composite number 合成数
112456465061162225672981757516959768759965070222198073351603547007961273646307105552506941436146027354679687127388771847388178939455751719978960594139296907717157684932715371702613172142268669<192>
prime factors 素因数
1636852446870939868159467990675221188181<40>
composite cofactor 合成数の残り
68702872562604922118392274357662248085852479607754285781352251160416812924309302732545610041144363075011136560007506457381706401625884135072465280163849<152>
factorization results 素因数分解の結果
Run 16 out of 33:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2040720261
Step 1 took 231783ms
Step 2 took 58932ms
********** Factor found in step 2: 1636852446870939868159467990675221188181
Found probable prime factor of 40 digits: 1636852446870939868159467990675221188181
Composite cofactor 68702872562604922118392274357662248085852479607754285781352251160416812924309302732545610041144363075011136560007506457381706401625884135072465280163849 has 152 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:00 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 0 秒 (日本時間)
403e6513213CypDecember 31, 2013 22:01:20 UTC 2014 年 1 月 1 日 (水) 7 時 1 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:24 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 24 秒 (日本時間)
4511e61500 / 4209Dmitry DomanovMarch 14, 2014 12:25:16 UTC 2014 年 3 月 14 日 (金) 21 時 25 分 16 秒 (日本時間)
5043e633 / 7192CypJanuary 11, 2014 01:14:34 UTC 2014 年 1 月 11 日 (土) 10 時 14 分 34 秒 (日本時間)

6×10217-7

c177

name 名前Cyp
date 日付January 4, 2014 19:31:31 UTC 2014 年 1 月 5 日 (日) 4 時 31 分 31 秒 (日本時間)
composite number 合成数
245290684810111740159150959912813958202545520685281150632548269041911827819796987823670836495210539652871793576333450952913689472005030306100398034366627621599575132973755443469<177>
prime factors 素因数
66137465709238095020620052739931682981289137<44>
composite cofactor 合成数の残り
3708800786055058745394654337079050419122833318807867230013645124786458423626514438177517995226476455565069942304059160574785366014237<133>
factorization results 素因数分解の結果
Run 26 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=224963540
Step 1 took 16247ms
Step 2 took 5529ms
********** Factor found in step 2: 66137465709238095020620052739931682981289137
Found probable prime factor of 44 digits: 66137465709238095020620052739931682981289137
Composite cofactor 3708800786055058745394654337079050419122833318807867230013645124786458423626514438177517995226476455565069942304059160574785366014237 has 133 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c133

name 名前Serge Batalov
date 日付August 21, 2015 05:59:19 UTC 2015 年 8 月 21 日 (金) 14 時 59 分 19 秒 (日本時間)
composite number 合成数
3708800786055058745394654337079050419122833318807867230013645124786458423626514438177517995226476455565069942304059160574785366014237<133>
prime factors 素因数
270763510062916212845166504900234502345652383277735171<54>
13697565027108932915992113586640126341512930270793847307919847440870910357137247<80>
factorization results 素因数分解の結果
Divisors found:
 r1=270763510062916212845166504900234502345652383277735171 (pp54)
 r2=13697565027108932915992113586640126341512930270793847307919847440870910357137247 (pp80)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 64.17 hours.
Scaled time: 154.00 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  3708800786055058745394654337079050419122833318807867230013645124786458423626514438177517995226476455565069942304059160574785366014237
skew:  1308381.97
Y0:  -75498158047287455349371445
Y1:  3602923578943
c0:  -2658877374869937775500131710581056
c1:  -4988847142472333095682695064
c2:  13707012331301318805428
c3:  5687927879386058
c4:  -4780023951
c5:  1512
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4050000, 10050001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1602385 x 1602619
Total sieving time: 62.24 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.59 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8100000,8100000,28,28,55,55,2.5,2.5,100000
total time: 64.17 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 4, 2014 19:31:30 UTC 2014 年 1 月 5 日 (日) 4 時 31 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:25 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 25 秒 (日本時間)
4511e63730230Ignacio SantosFebruary 3, 2014 21:32:15 UTC 2014 年 2 月 4 日 (火) 6 時 32 分 15 秒 (日本時間)
3500Serge BatalovAugust 19, 2015 21:23:08 UTC 2015 年 8 月 20 日 (木) 6 時 23 分 8 秒 (日本時間)
5043e6180 / 6693Ignacio SantosJanuary 5, 2014 22:16:54 UTC 2014 年 1 月 6 日 (月) 7 時 16 分 54 秒 (日本時間)

6×10218-7

c146

name 名前Serge Batalov
date 日付May 24, 2014 22:16:17 UTC 2014 年 5 月 25 日 (日) 7 時 16 分 17 秒 (日本時間)
composite number 合成数
19488835687391194482047564240832418818691086006561824982754473530974456293488170593872772814575804028062016390202101587554029193503607022511704893<146>
prime factors 素因数
76360588735912612431535891627398748029297349<44>
255221129250219321357137589287407489493572776856499734241329483025399088846767307115109714780001644057<102>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3392657045
Step 1 took 37757ms
Step 2 took 23080ms
********** Factor found in step 2: 76360588735912612431535891627398748029297349
Found probable prime factor of 44 digits: 76360588735912612431535891627398748029297349
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2013 22:15:13 UTC 2013 年 10 月 22 日 (火) 7 時 15 分 13 秒 (日本時間)
403e6110Ignacio SantosOctober 21, 2013 22:15:13 UTC 2013 年 10 月 22 日 (火) 7 時 15 分 13 秒 (日本時間)
4511e63772 / 443732Ignacio SantosOctober 21, 2013 22:15:13 UTC 2013 年 10 月 22 日 (火) 7 時 15 分 13 秒 (日本時間)
230Ignacio SantosOctober 26, 2013 11:50:51 UTC 2013 年 10 月 26 日 (土) 20 時 50 分 51 秒 (日本時間)
230Ignacio SantosOctober 26, 2013 22:05:24 UTC 2013 年 10 月 27 日 (日) 7 時 5 分 24 秒 (日本時間)
230Ignacio SantosOctober 27, 2013 13:26:01 UTC 2013 年 10 月 27 日 (日) 22 時 26 分 1 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:16 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 16 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:25 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 25 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:03 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 3 秒 (日本時間)

6×10219-7

c211

name 名前Serge Batalov
date 日付November 1, 2013 15:52:57 UTC 2013 年 11 月 2 日 (土) 0 時 52 分 57 秒 (日本時間)
composite number 合成数
6372335790527609298736266935328025389322979542315839392103295495192870781104682367168153314728654678935824638510374237541924486637751902721850515438116135239899808741457022279896062147870100873767567822179697879<211>
prime factors 素因数
233782872875344382907556209066067<33>
27257496291977767419291463544724027669713232457928056354148101588477554127056125940713011435036808374406145447997833319235111178347889133973204785673891249671276965840694309120237<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2898156848
Step 1 took 18365ms
Step 2 took 14125ms
********** Factor found in step 2: 233782872875344382907556209066067
Found probable prime factor of 33 digits: 233782872875344382907556209066067
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)

6×10220-7

c213

name 名前Serge Batalov
date 日付November 2, 2013 13:46:04 UTC 2013 年 11 月 2 日 (土) 22 時 46 分 4 秒 (日本時間)
composite number 合成数
916194903913219606772506621760493245131657131342754331391575303838097732617648702135859518858108421863592657669011733692864501538283608712763109607648847047353487799009559715056666120360005349967442250593690480257<213>
prime factors 素因数
19307126483492120896971149479692957629<38>
composite cofactor 合成数の残り
47453716362016886327755889873675821488317867584394039662344793732931687574341667602661706166193207993156351306423928443165834094845553121822162986296658110414637612576318016533<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2150748137
Step 1 took 20970ms
Step 2 took 14616ms
********** Factor found in step 2: 19307126483492120896971149479692957629
Found probable prime factor of 38 digits: 19307126483492120896971149479692957629
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 17:13:09 UTC 2014 年 1 月 6 日 (月) 2 時 13 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:26 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 26 秒 (日本時間)
4511e61500 / 3682Dmitry DomanovMay 5, 2014 07:31:10 UTC 2014 年 5 月 5 日 (月) 16 時 31 分 10 秒 (日本時間)
5043e6189 / 719439CypJanuary 30, 2014 04:23:28 UTC 2014 年 1 月 30 日 (木) 13 時 23 分 28 秒 (日本時間)
150CypFebruary 5, 2014 19:35:36 UTC 2014 年 2 月 6 日 (木) 4 時 35 分 36 秒 (日本時間)

6×10222-7

c199

composite cofactor 合成数の残り
6294497647424299671186963617441859325515171108300512961930391565436495185841954359612016242074480475451092303458865845210984441622969656470555885006455036834915879584094015998260211838880804801259987<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 09:03:53 UTC 2014 年 1 月 2 日 (木) 18 時 3 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:27 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 27 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:44:39 UTC 2014 年 2 月 13 日 (木) 7 時 44 分 39 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMay 13, 2014 12:07:15 UTC 2014 年 5 月 13 日 (火) 21 時 7 分 15 秒 (日本時間)
5043e639 / 7137CypJanuary 25, 2014 23:42:10 UTC 2014 年 1 月 26 日 (日) 8 時 42 分 10 秒 (日本時間)

6×10223-7

c199

name 名前Dmitry Domanov
date 日付May 19, 2014 05:52:43 UTC 2014 年 5 月 19 日 (月) 14 時 52 分 43 秒 (日本時間)
composite number 合成数
7070990402711603719546776280519659026001023764449177614527660368092722274070732014145108154920249790371097661767909852264466093976183719350119444475767941706796230996787788911898459769673745909852331<199>
prime factors 素因数
2071725456229675594259859746057768800247147<43>
3413092396702055919068854952954541528828992148410843161911584687304886078005444720867110672897268283675367444060018598151246111262783360773098625212178919873<157>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2336274041
Step 1 took 110634ms
Step 2 took 35340ms
********** Factor found in step 2: 2071725456229675594259859746057768800247147
Found probable prime factor of 43 digits: 2071725456229675594259859746057768800247147

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 05:09:30 UTC 2014 年 1 月 3 日 (金) 14 時 9 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:27 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 27 秒 (日本時間)
1500Dmitry DomanovFebruary 11, 2014 11:51:15 UTC 2014 年 2 月 11 日 (火) 20 時 51 分 15 秒 (日本時間)
4511e61500 / 3350Dmitry DomanovMay 13, 2014 12:07:43 UTC 2014 年 5 月 13 日 (火) 21 時 7 分 43 秒 (日本時間)
5043e6189 / 7137CypFebruary 11, 2014 21:15:21 UTC 2014 年 2 月 12 日 (水) 6 時 15 分 21 秒 (日本時間)

6×10224-7

c189

name 名前Cyp
date 日付January 2, 2014 00:45:29 UTC 2014 年 1 月 2 日 (木) 9 時 45 分 29 秒 (日本時間)
composite number 合成数
286681920501726678365738156117590788044451279426670553088230598860774571454816113737270612076216818650845325319535796878489046055191085944008849788903340116268897899703968502332428267773097<189>
prime factors 素因数
30567829833603084236704826086123006360099231193<47>
composite cofactor 合成数の残り
9378550000516506169510074578626353409223866589155226584018332738610749300463955160451447362851513129308232983760539241744143208021858232904529<142>
factorization results 素因数分解の結果
Run 196 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2627541283
Step 1 took 16113ms
Step 2 took 5656ms
********** Factor found in step 2: 30567829833603084236704826086123006360099231193
Found probable prime factor of 47 digits: 30567829833603084236704826086123006360099231193
Composite cofactor 9378550000516506169510074578626353409223866589155226584018332738610749300463955160451447362851513129308232983760539241744143208021858232904529 has 142 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c142

name 名前Serge Batalov
date 日付January 5, 2014 00:59:05 UTC 2014 年 1 月 5 日 (日) 9 時 59 分 5 秒 (日本時間)
composite number 合成数
9378550000516506169510074578626353409223866589155226584018332738610749300463955160451447362851513129308232983760539241744143208021858232904529<142>
prime factors 素因数
130910239426479561478221478228124361171329<42>
71641072857280879561358142856547995575956976728762722111538799112654979777206772239778163629801230801<101>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=3612403732
Step 1 took 134453ms
Step 2 took 85164ms
********** Factor found in step 2: 130910239426479561478221478228124361171329
Found probable prime factor of 42 digits: 130910239426479561478221478228124361171329
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6290CypJanuary 2, 2014 00:45:28 UTC 2014 年 1 月 2 日 (木) 9 時 45 分 28 秒 (日本時間)
4511e6730 / 2657230Ignacio SantosJanuary 4, 2014 18:31:19 UTC 2014 年 1 月 5 日 (日) 3 時 31 分 19 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:00 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 0 秒 (日本時間)
5043e6500 / 7378Serge BatalovJanuary 4, 2014 23:01:02 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 2 秒 (日本時間)

6×10226-7

c180

name 名前Serge Batalov
date 日付November 1, 2013 15:55:57 UTC 2013 年 11 月 2 日 (土) 0 時 55 分 57 秒 (日本時間)
composite number 合成数
138039207133877566706239815828210165908170472322210046504495747432509912096768613012703615495049309041925823937538580361798959640468533052174858024282351492894981004207750225862271<180>
prime factors 素因数
25746420231816094764579034463<29>
composite cofactor 合成数の残り
5361491263290104019740161923490298293951336897248555425145980047957451532977618812648481013508427590849554952226499147189915521380231917861880486062817<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1909057767
Step 1 took 15625ms
Step 2 took 11825ms
********** Factor found in step 2: 25746420231816094764579034463
Found probable prime factor of 29 digits: 25746420231816094764579034463
Composite cofactor

c151

name 名前Serge Batalov
date 日付November 8, 2013 03:39:18 UTC 2013 年 11 月 8 日 (金) 12 時 39 分 18 秒 (日本時間)
composite number 合成数
5361491263290104019740161923490298293951336897248555425145980047957451532977618812648481013508427590849554952226499147189915521380231917861880486062817<151>
prime factors 素因数
3833388626898552652550445185856511363<37>
105777202952677195457902263238307515780543849<45>
13222411647535062273267472723169276613120149337477547880080120454825491<71>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2973114681
Step 1 took 36275ms
Step 2 took 16035ms
********** Factor found in step 2: 105777202952677195457902263238307515780543849
Found probable prime factor of 45 digits: 105777202952677195457902263238307515780543849

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2014910838
Step 1 took 33674ms
Step 2 took 13738ms
********** Factor found in step 2: 3833388626898552652550445185856511363
Found probable prime factor of 37 digits: 3833388626898552652550445185856511363

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 3, 2013 11:12:22 UTC 2013 年 11 月 3 日 (日) 20 時 12 分 22 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 3, 2013 11:12:22 UTC 2013 年 11 月 3 日 (日) 20 時 12 分 22 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 3, 2013 11:12:22 UTC 2013 年 11 月 3 日 (日) 20 時 12 分 22 秒 (日本時間)

6×10227-7

c115

name 名前Ignacio Santos
date 日付October 21, 2013 21:56:38 UTC 2013 年 10 月 22 日 (火) 6 時 56 分 38 秒 (日本時間)
composite number 合成数
4687291059435870822838869666649473738634237024896093084122055712998652695503296228721638248381156501865051745509651<115>
prime factors 素因数
298284815694203150657662861008473<33>
15714145718504179822763169201172156470076284685051829424071607056339193193508832587<83>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:24939721
Step 1 took 4750ms
Step 2 took 4344ms
********** Factor found in step 2: 298284815694203150657662861008473
Found probable prime factor of 33 digits: 298284815694203150657662861008473
Probable prime cofactor 15714145718504179822763169201172156470076284685051829424071607056339193193508832587 has 83 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)

6×10228-7

c178

name 名前Cyp
date 日付February 10, 2014 13:26:03 UTC 2014 年 2 月 10 日 (月) 22 時 26 分 3 秒 (日本時間)
composite number 合成数
4848513297693468348257508892557456540469413496043142388866227315159153558269715486321396614106624708962221429028455583435430827855445485653243757527763982059435885161166273783117<178>
prime factors 素因数
114893172391293634859321757591092614451571239<45>
composite cofactor 合成数の残り
42200186458258842372845957720364485099963897997016258329360454584610325511251700953574216360321197640478985230733607731031049517834603<134>
factorization results 素因数分解の結果
Run 80 out of 150:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3666709892
Step 1 took 231681ms
Step 2 took 57359ms
********** Factor found in step 2: 114893172391293634859321757591092614451571239
Found probable prime factor of 45 digits: 114893172391293634859321757591092614451571239
Composite cofactor 42200186458258842372845957720364485099963897997016258329360454584610325511251700953574216360321197640478985230733607731031049517834603 has 134 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c134

name 名前Erik Branger
date 日付May 16, 2014 11:20:37 UTC 2014 年 5 月 16 日 (金) 20 時 20 分 37 秒 (日本時間)
composite number 合成数
42200186458258842372845957720364485099963897997016258329360454584610325511251700953574216360321197640478985230733607731031049517834603<134>
prime factors 素因数
62354198385784078652543639394712953073286592013441715910118636939<65>
676781797388640941520194795527082530187599398601858376197776967247777<69>
factorization results 素因数分解の結果
Number: 59993_228
N = 42200186458258842372845957720364485099963897997016258329360454584610325511251700953574216360321197640478985230733607731031049517834603 (134 digits)
Divisors found:
r1=62354198385784078652543639394712953073286592013441715910118636939 (pp65)
r2=676781797388640941520194795527082530187599398601858376197776967247777 (pp69)
Version: Msieve v. 1.51 (SVN 845)
Total time: 142.00 hours.
Factorization parameters were as follows:
# Murphy_E = 4.934e-11, selected by Erik Branger
# expecting poly E from 5.01e-011 to > 5.76e-011
n: 42200186458258842372845957720364485099963897997016258329360454584610325511251700953574216360321197640478985230733607731031049517834603
Y0: -113103469904290615671885256
Y1: 150915256670101
c0: 363809583699070830832192769322375
c1: -5212050837200201256560426615
c2: -3041567468701355978919
c3: 934561537420029
c4: -477833102
c5: 2280
skew: 1129297.31
type: gnfs
# selected mechanically
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21163405
Relations: 2625766 relations
Pruned matrix : 1622042 x 1622268
Polynomial selection time: 0.00 hours.
Total sieving time: 138.68 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.33 hours.
time per square root: 0.82 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12300000,12300000,28,28,54,54,2.6,2.6,100000
total time: 142.00 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 2, 2014 07:20:02 UTC 2014 年 1 月 2 日 (木) 16 時 20 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:28 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 28 秒 (日本時間)
4511e60 / 2103--
5043e6639 / 753039CypJanuary 23, 2014 18:07:38 UTC 2014 年 1 月 24 日 (金) 3 時 7 分 38 秒 (日本時間)
150CypFebruary 10, 2014 13:26:02 UTC 2014 年 2 月 10 日 (月) 22 時 26 分 2 秒 (日本時間)
450Ignacio SantosApril 29, 2014 15:41:23 UTC 2014 年 4 月 30 日 (水) 0 時 41 分 23 秒 (日本時間)

6×10229-7

c200

composite cofactor 合成数の残り
68730225070670497357059716220057026366619836411460698684787677130507632166166884235704939944122507213652488645758057955092957188834881023504194714739669829658466126049239760389453568516080001487752093<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 18:18:05 UTC 2014 年 1 月 7 日 (火) 3 時 18 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:29 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 29 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:45:10 UTC 2014 年 2 月 13 日 (木) 7 時 45 分 10 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMay 13, 2014 12:08:13 UTC 2014 年 5 月 13 日 (火) 21 時 8 分 13 秒 (日本時間)
5043e639 / 7137CypJanuary 25, 2014 12:59:49 UTC 2014 年 1 月 25 日 (土) 21 時 59 分 49 秒 (日本時間)

6×10230-7

c195

composite cofactor 合成数の残り
195505877266486447481417749933187996985323275675386920032342318511821762072103081403771151087045133360303742195689858698366066826882936773930223558900661920615371100794393472088696515358956588377<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 15:58:47 UTC 2014 年 1 月 3 日 (金) 0 時 58 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:30 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 30 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:45:19 UTC 2014 年 2 月 13 日 (木) 7 時 45 分 19 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMay 13, 2014 12:08:30 UTC 2014 年 5 月 13 日 (火) 21 時 8 分 30 秒 (日本時間)
5043e639 / 7137CypJanuary 24, 2014 14:25:51 UTC 2014 年 1 月 24 日 (金) 23 時 25 分 51 秒 (日本時間)

6×10231-7

c193

composite cofactor 合成数の残り
3190088760248879437217194233654760707531334742989936335944033255204184170059787798211275548868164687763031097604042014067854869277249706205899430465006089855975341482211332036652051725497180417<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:01 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 1 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:51:32 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 32 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:45:32 UTC 2014 年 2 月 13 日 (木) 7 時 45 分 32 秒 (日本時間)
4511e61500 / 3875Dmitry DomanovMay 13, 2014 12:08:47 UTC 2014 年 5 月 13 日 (火) 21 時 8 分 47 秒 (日本時間)
5043e647 / 7143CypJanuary 22, 2014 15:23:27 UTC 2014 年 1 月 23 日 (木) 0 時 23 分 27 秒 (日本時間)

6×10232-7

c195

name 名前Serge Batalov
date 日付November 1, 2013 15:51:19 UTC 2013 年 11 月 2 日 (土) 0 時 51 分 19 秒 (日本時間)
composite number 合成数
582810943713672322112715229008718292129815052360146535799789382368784881405652676015273365820962154548025488856188502405746308519594969128858914526769397760423747035531007043019966676360001505607<195>
prime factors 素因数
22959090971763588806138577180481<32>
composite cofactor 合成数の残り
25384756932687219930453518491249876151812998558356222673663613374518774284411564972964658099752552521270073374713652965116597216285816352805048553746849223166183047<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=691027848
Step 1 took 18389ms
********** Factor found in step 1: 22959090971763588806138577180481
Found probable prime factor of 32 digits: 22959090971763588806138577180481
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 02:02:08 UTC 2014 年 1 月 3 日 (金) 11 時 2 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:33 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 33 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:45:42 UTC 2014 年 2 月 13 日 (木) 7 時 45 分 42 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMay 6, 2014 09:51:42 UTC 2014 年 5 月 6 日 (火) 18 時 51 分 42 秒 (日本時間)
5043e639 / 7137CypJanuary 27, 2014 01:53:43 UTC 2014 年 1 月 27 日 (月) 10 時 53 分 43 秒 (日本時間)

6×10233-7

c188

composite cofactor 合成数の残り
73475381355484171885510211354239615179915676591677408806043118597449168167827921687455453432863510422818693246019800376170370142897873779365096641008262271955886373485395088512459706503853<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:02 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 2 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:51:33 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 33 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:45:52 UTC 2014 年 2 月 13 日 (木) 7 時 45 分 52 秒 (日本時間)
4511e61508 / 40408CypJanuary 10, 2014 17:52:33 UTC 2014 年 1 月 11 日 (土) 2 時 52 分 33 秒 (日本時間)
1500Dmitry DomanovMay 13, 2014 12:09:13 UTC 2014 年 5 月 13 日 (火) 21 時 9 分 13 秒 (日本時間)

6×10234-7

c223

name 名前Dmitry Domanov
date 日付February 13, 2014 05:36:21 UTC 2014 年 2 月 13 日 (木) 14 時 36 分 21 秒 (日本時間)
composite number 合成数
2564921495617023582343765462892474754680486209859280018358518044649548328155408969960170701415738731790800059852954545569471328494086423429199159935228996016545168831679260395313357443102502569193375574125604641438482200629<223>
prime factors 素因数
5759252780179237635923525639895493<34>
composite cofactor 合成数の残り
445356644953027901331247310741740642869010445393480147283961861498034854521409795693118571063181259880481998367355453802637935024930174156525318073927379485466089114967695978220510146501553<189>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3830289319
Step 1 took 30637ms
Step 2 took 11410ms
********** Factor found in step 2: 5759252780179237635923525639895493
Found probable prime factor of 34 digits: 5759252780179237635923525639895493

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:02 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 2 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:51:34 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 34 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:46:03 UTC 2014 年 2 月 13 日 (木) 7 時 46 分 3 秒 (日本時間)
4511e61587 / 404087CypMarch 6, 2014 13:30:27 UTC 2014 年 3 月 6 日 (木) 22 時 30 分 27 秒 (日本時間)
1500Dmitry DomanovMay 13, 2014 12:09:30 UTC 2014 年 5 月 13 日 (火) 21 時 9 分 30 秒 (日本時間)

6×10235-7

c211

composite cofactor 合成数の残り
2490766422300790450197470703432246339565085409157833753806477540766249083044480399062552468822763200633862377673362008317034526664976236134451248072366853148479868880600543478686725386119318762576718014360077329<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:03 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 3 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:51:35 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 35 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:46:15 UTC 2014 年 2 月 13 日 (木) 7 時 46 分 15 秒 (日本時間)
4511e61587 / 404087CypMarch 7, 2014 17:58:48 UTC 2014 年 3 月 8 日 (土) 2 時 58 分 48 秒 (日本時間)
1500Dmitry DomanovMay 13, 2014 12:09:46 UTC 2014 年 5 月 13 日 (火) 21 時 9 分 46 秒 (日本時間)

6×10237-7

c227

composite cofactor 合成数の残り
16687529645358346552099176076114322971671123374471549998510559130574193252037689866599837034602311092770469784559189635204361289192520301321344860431755239050322231258360282886984414332476128448646227852000304871254228087648649<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 02:09:26 UTC 2014 年 1 月 3 日 (金) 11 時 9 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:35 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 35 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:46:24 UTC 2014 年 2 月 13 日 (木) 7 時 46 分 24 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 13, 2014 12:10:03 UTC 2014 年 5 月 13 日 (火) 21 時 10 分 3 秒 (日本時間)

6×10238-7

c224

composite cofactor 合成数の残り
57027164867933544667929347729146291294810744149638049391136144462923224011955488128053643628268072148485237256951395587889834353401428283180534388230028587582994178514620079680124151687902301218223810730913217354561420443697<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 08:35:52 UTC 2014 年 1 月 5 日 (日) 17 時 35 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:37 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 37 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:46:36 UTC 2014 年 2 月 13 日 (木) 7 時 46 分 36 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 13, 2014 12:10:19 UTC 2014 年 5 月 13 日 (火) 21 時 10 分 19 秒 (日本時間)

6×10239-7

c169

composite cofactor 合成数の残り
1145589400607813183439206502949792919389991135109531260911262874682046042097739557031246776452129457702678681528962513018633468046934458590775164481767798028553497311059<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 23:49:27 UTC 2014 年 1 月 5 日 (日) 8 時 49 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:38 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 38 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:46:46 UTC 2014 年 2 月 13 日 (木) 7 時 46 分 46 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 6, 2014 09:52:14 UTC 2014 年 5 月 6 日 (火) 18 時 52 分 14 秒 (日本時間)

6×10240-7

c238

composite cofactor 合成数の残り
9104704097116843702579666160849772382397572078907435508345978755690440060698027314112291350531107738998482549317147192716236722306525037936267071320182094081942336874051593323216995447647951441578148710166919575113808801213960546282245827<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e62050850Serge BatalovNovember 8, 2013 17:17:19 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 19 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:53 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 53 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:13 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 13 秒 (日本時間)
5043e6690 / 7090Dmitry DomanovMay 19, 2014 06:13:32 UTC 2014 年 5 月 19 日 (月) 15 時 13 分 32 秒 (日本時間)
5511e71 / 17395Dmitry DomanovMay 19, 2014 06:13:32 UTC 2014 年 5 月 19 日 (月) 15 時 13 分 32 秒 (日本時間)

6×10241-7

c214

name 名前Serge Batalov
date 日付November 1, 2013 23:11:01 UTC 2013 年 11 月 2 日 (土) 8 時 11 分 1 秒 (日本時間)
composite number 合成数
7653054480434444490438660945332938242188210948276804266564822646755529342538196350724589294857819235155764559111812098900159843181615686674564313548768153261308829387904170203719755704121882797550609583192200566527<214>
prime factors 素因数
9365535225043372970562338374352940781<37>
composite cofactor 合成数の残り
817150787065562740799608135512986065617721357546705538848641321766113003200265160987715166767242153549914911779324553709434089761265652106304676156159209153543466721939449738267<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3759282747
Step 1 took 20770ms
Step 2 took 14573ms
********** Factor found in step 2: 9365535225043372970562338374352940781
Found probable prime factor of 37 digits: 9365535225043372970562338374352940781
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 20:59:56 UTC 2014 年 1 月 2 日 (木) 5 時 59 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:38 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 38 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:47:02 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 2 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 13, 2014 12:10:55 UTC 2014 年 5 月 13 日 (火) 21 時 10 分 55 秒 (日本時間)

6×10242-7

c203

name 名前Cyp
date 日付February 8, 2014 07:27:56 UTC 2014 年 2 月 8 日 (土) 16 時 27 分 56 秒 (日本時間)
composite number 合成数
41307589741563819450917404783037526262240074435812552696253683878353932829075098705044962027697860111476690806090942792402358499637236370614888489027630777424723904052603332388479590617740515607161940297<203>
prime factors 素因数
11308512835624223767543421314805572991<38>
359268505810217724534014033961759422250623<42>
composite cofactor 合成数の残り
10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329<125>
factorization results 素因数分解の結果
Run 83 out of 197:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3115601812
Step 1 took 272018ms
Step 2 took 65843ms
********** Factor found in step 2: 11308512835624223767543421314805572991
Found probable prime factor of 38 digits: 11308512835624223767543421314805572991
Composite cofactor 3652787094288482799328817448332737460263637644586738484999638132230149525240800076767026766359356631038083308135141305726954620487881375836141939508003167059911238967 has 166 digits
--
Run 92 out of 197:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3255574250
Step 1 took 196786ms
Step 2 took 53042ms
********** Factor found in step 2: 359268505810217724534014033961759422250623
Found probable prime factor of 42 digits: 359268505810217724534014033961759422250623
Composite cofactor 10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329 has 125 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c125

name 名前Cyp
date 日付February 9, 2014 01:24:54 UTC 2014 年 2 月 9 日 (日) 10 時 24 分 54 秒 (日本時間)
composite number 合成数
10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329<125>
prime factors 素因数
18805445164525970963694641657320827008628539<44>
540656705166826678404710296075078464976448561036780676408732753726278823803489611<81>
factorization results 素因数分解の結果
02/08/14 17:30:23 v1.34.3, 
02/08/14 17:30:23 v1.34.3, ****************************
02/08/14 17:30:23 v1.34.3, Starting factorization of 10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329
02/08/14 17:30:23 v1.34.3, using pretesting plan: none
02/08/14 17:30:23 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/08/14 17:30:23 v1.34.3, ****************************
02/08/14 17:30:23 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C125
02/08/14 17:30:23 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C125
02/08/14 17:30:23 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C125
02/08/14 17:30:23 v1.34.3, final ECM pretested depth: 0.00
02/08/14 17:30:23 v1.34.3, scheduler: switching to sieve method
02/08/14 17:30:23 v1.34.3, nfs: commencing nfs on c125: 10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329
02/08/14 17:30:23 v1.34.3, nfs: commencing poly selection with 8 threads
02/08/14 17:30:23 v1.34.3, nfs: setting deadline of 3176 seconds
02/08/14 18:25:00 v1.34.3, nfs: completed 295 ranges of size 250 in 3276.2527 seconds
02/08/14 18:25:00 v1.34.3, nfs: best poly = # norm 7.961053e-12 alpha -5.993403 e 1.754e-10 rroots 5
02/08/14 18:25:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/08/14 18:30:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
[60 lines snipped]
02/09/14 00:34:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 00:41:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 00:47:39 v1.34.3, nfs: commencing msieve filtering
02/09/14 00:49:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 00:55:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 01:01:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 01:08:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 01:14:41 v1.34.3, nfs: commencing msieve filtering
02/09/14 01:16:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 01:22:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 01:29:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 01:35:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 01:41:12 v1.34.3, nfs: commencing msieve filtering
02/09/14 01:43:38 v1.34.3, nfs: commencing msieve linear algebra
02/09/14 02:10:44 v1.34.3, nfs: commencing msieve sqrt
02/09/14 02:24:53 v1.34.3, prp81 = 540656705166826678404710296075078464976448561036780676408732753726278823803489611
02/09/14 02:24:53 v1.34.3, prp44 = 18805445164525970963694641657320827008628539
02/09/14 02:24:53 v1.34.3, NFS elapsed time = 32069.4258 seconds.
02/09/14 02:24:53 v1.34.3, 
02/09/14 02:24:53 v1.34.3, 
02/09/14 02:24:53 v1.34.3, Total factoring time = 32069.4533 seconds
--
Sun Feb  9 00:47:39 2014  
Sun Feb  9 00:47:39 2014  commencing relation filtering
Sun Feb  9 00:47:39 2014  estimated available RAM is 15988.7 MB
Sun Feb  9 00:47:39 2014  commencing duplicate removal, pass 1
Sun Feb  9 00:48:13 2014  found 1223145 hash collisions in 10145975 relations
Sun Feb  9 00:48:24 2014  added 62758 free relations
Sun Feb  9 00:48:24 2014  commencing duplicate removal, pass 2
Sun Feb  9 00:48:32 2014  found 720842 duplicates and 9487891 unique relations
Sun Feb  9 00:48:32 2014  memory use: 41.3 MB
Sun Feb  9 00:48:32 2014  reading ideals above 100000
Sun Feb  9 00:48:32 2014  commencing singleton removal, initial pass
Sun Feb  9 00:49:19 2014  memory use: 344.5 MB
Sun Feb  9 00:49:19 2014  reading all ideals from disk
Sun Feb  9 00:49:19 2014  memory use: 345.9 MB
Sun Feb  9 00:49:19 2014  keeping 10975710 ideals with weight <= 200, target excess is 48777
Sun Feb  9 00:49:20 2014  commencing in-memory singleton removal
Sun Feb  9 00:49:20 2014  begin with 9487891 relations and 10975710 unique ideals
Sun Feb  9 00:49:25 2014  reduce to 2741829 relations and 2952183 ideals in 30 passes
Sun Feb  9 00:49:25 2014  max relations containing the same ideal: 86
Sun Feb  9 01:14:41 2014  
Sun Feb  9 01:14:41 2014  commencing relation filtering
Sun Feb  9 01:14:41 2014  estimated available RAM is 15988.7 MB
Sun Feb  9 01:14:41 2014  commencing duplicate removal, pass 1
Sun Feb  9 01:15:17 2014  found 1363255 hash collisions in 10838615 relations
Sun Feb  9 01:15:28 2014  added 100 free relations
Sun Feb  9 01:15:28 2014  commencing duplicate removal, pass 2
Sun Feb  9 01:15:37 2014  found 801345 duplicates and 10037370 unique relations
Sun Feb  9 01:15:37 2014  memory use: 41.3 MB
Sun Feb  9 01:15:37 2014  reading ideals above 720000
Sun Feb  9 01:15:37 2014  commencing singleton removal, initial pass
Sun Feb  9 01:16:23 2014  memory use: 344.5 MB
Sun Feb  9 01:16:24 2014  reading all ideals from disk
Sun Feb  9 01:16:24 2014  memory use: 296.0 MB
Sun Feb  9 01:16:25 2014  commencing in-memory singleton removal
Sun Feb  9 01:16:25 2014  begin with 10037370 relations and 11147926 unique ideals
Sun Feb  9 01:16:30 2014  reduce to 3576638 relations and 3548706 ideals in 24 passes
Sun Feb  9 01:16:30 2014  max relations containing the same ideal: 71
Sun Feb  9 01:41:12 2014  
Sun Feb  9 01:41:12 2014  commencing relation filtering
Sun Feb  9 01:41:12 2014  estimated available RAM is 15988.7 MB
Sun Feb  9 01:41:12 2014  commencing duplicate removal, pass 1
Sun Feb  9 01:41:51 2014  found 1501133 hash collisions in 11467497 relations
Sun Feb  9 01:42:02 2014  added 47 free relations
Sun Feb  9 01:42:02 2014  commencing duplicate removal, pass 2
Sun Feb  9 01:42:11 2014  found 885039 duplicates and 10582505 unique relations
Sun Feb  9 01:42:11 2014  memory use: 41.3 MB
Sun Feb  9 01:42:11 2014  reading ideals above 720000
Sun Feb  9 01:42:11 2014  commencing singleton removal, initial pass
Sun Feb  9 01:42:59 2014  memory use: 344.5 MB
Sun Feb  9 01:42:59 2014  reading all ideals from disk
Sun Feb  9 01:43:00 2014  memory use: 312.2 MB
Sun Feb  9 01:43:00 2014  commencing in-memory singleton removal
Sun Feb  9 01:43:00 2014  begin with 10582505 relations and 11369453 unique ideals
Sun Feb  9 01:43:05 2014  reduce to 4366644 relations and 4135561 ideals in 20 passes
Sun Feb  9 01:43:05 2014  max relations containing the same ideal: 82
Sun Feb  9 01:43:06 2014  removing 491021 relations and 442811 ideals in 48210 cliques
Sun Feb  9 01:43:06 2014  commencing in-memory singleton removal
Sun Feb  9 01:43:06 2014  begin with 3875623 relations and 4135561 unique ideals
Sun Feb  9 01:43:08 2014  reduce to 3827854 relations and 3644258 ideals in 9 passes
Sun Feb  9 01:43:08 2014  max relations containing the same ideal: 75
Sun Feb  9 01:43:09 2014  removing 363873 relations and 315663 ideals in 48210 cliques
Sun Feb  9 01:43:09 2014  commencing in-memory singleton removal
Sun Feb  9 01:43:09 2014  begin with 3463981 relations and 3644258 unique ideals
Sun Feb  9 01:43:11 2014  reduce to 3433877 relations and 3298071 ideals in 10 passes
Sun Feb  9 01:43:11 2014  max relations containing the same ideal: 70
Sun Feb  9 01:43:12 2014  relations with 0 large ideals: 479
Sun Feb  9 01:43:12 2014  relations with 1 large ideals: 2313
Sun Feb  9 01:43:12 2014  relations with 2 large ideals: 33400
Sun Feb  9 01:43:12 2014  relations with 3 large ideals: 190024
Sun Feb  9 01:43:12 2014  relations with 4 large ideals: 571081
Sun Feb  9 01:43:12 2014  relations with 5 large ideals: 962157
Sun Feb  9 01:43:12 2014  relations with 6 large ideals: 941999
Sun Feb  9 01:43:12 2014  relations with 7+ large ideals: 732424
Sun Feb  9 01:43:12 2014  commencing 2-way merge
Sun Feb  9 01:43:13 2014  reduce to 1978606 relation sets and 1842800 unique ideals
Sun Feb  9 01:43:13 2014  commencing full merge
Sun Feb  9 01:43:30 2014  memory use: 207.7 MB
Sun Feb  9 01:43:31 2014  found 980247 cycles, need 963000
Sun Feb  9 01:43:31 2014  weight of 963000 cycles is about 67531176 (70.13/cycle)
Sun Feb  9 01:43:31 2014  distribution of cycle lengths:
Sun Feb  9 01:43:31 2014  1 relations: 127010
Sun Feb  9 01:43:31 2014  2 relations: 113716
Sun Feb  9 01:43:31 2014  3 relations: 109799
Sun Feb  9 01:43:31 2014  4 relations: 96422
Sun Feb  9 01:43:31 2014  5 relations: 86747
Sun Feb  9 01:43:31 2014  6 relations: 72557
Sun Feb  9 01:43:31 2014  7 relations: 64282
Sun Feb  9 01:43:31 2014  8 relations: 53970
Sun Feb  9 01:43:31 2014  9 relations: 46027
Sun Feb  9 01:43:31 2014  10+ relations: 192470
Sun Feb  9 01:43:31 2014  heaviest cycle: 22 relations
Sun Feb  9 01:43:31 2014  commencing cycle optimization
Sun Feb  9 01:43:32 2014  start with 5731918 relations
Sun Feb  9 01:43:37 2014  pruned 123232 relations
Sun Feb  9 01:43:37 2014  memory use: 193.8 MB
Sun Feb  9 01:43:37 2014  distribution of cycle lengths:
Sun Feb  9 01:43:37 2014  1 relations: 127010
Sun Feb  9 01:43:37 2014  2 relations: 116282
Sun Feb  9 01:43:37 2014  3 relations: 113259
Sun Feb  9 01:43:37 2014  4 relations: 98460
Sun Feb  9 01:43:37 2014  5 relations: 88309
Sun Feb  9 01:43:37 2014  6 relations: 73374
Sun Feb  9 01:43:37 2014  7 relations: 64475
Sun Feb  9 01:43:37 2014  8 relations: 53728
Sun Feb  9 01:43:37 2014  9 relations: 45659
Sun Feb  9 01:43:37 2014  10+ relations: 182444
Sun Feb  9 01:43:37 2014  heaviest cycle: 22 relations
Sun Feb  9 01:43:38 2014  RelProcTime: 146
Sun Feb  9 01:43:38 2014  
Sun Feb  9 01:43:38 2014  commencing linear algebra
Sun Feb  9 01:43:38 2014  read 963000 cycles
Sun Feb  9 01:43:39 2014  cycles contain 3285692 unique relations
Sun Feb  9 01:43:55 2014  read 3285692 relations
Sun Feb  9 01:43:58 2014  using 20 quadratic characters above 134217222
Sun Feb  9 01:44:08 2014  building initial matrix
Sun Feb  9 01:44:28 2014  memory use: 417.5 MB
Sun Feb  9 01:44:28 2014  read 963000 cycles
Sun Feb  9 01:44:28 2014  matrix is 962818 x 963000 (288.6 MB) with weight 91379031 (94.89/col)
Sun Feb  9 01:44:28 2014  sparse part has weight 65061554 (67.56/col)
Sun Feb  9 01:44:34 2014  filtering completed in 2 passes
Sun Feb  9 01:44:34 2014  matrix is 960095 x 960277 (288.3 MB) with weight 91259533 (95.03/col)
Sun Feb  9 01:44:34 2014  sparse part has weight 65022046 (67.71/col)
Sun Feb  9 01:44:36 2014  matrix starts at (0, 0)
Sun Feb  9 01:44:36 2014  matrix is 960095 x 960277 (288.3 MB) with weight 91259533 (95.03/col)
Sun Feb  9 01:44:36 2014  sparse part has weight 65022046 (67.71/col)
Sun Feb  9 01:44:36 2014  saving the first 48 matrix rows for later
Sun Feb  9 01:44:37 2014  matrix includes 64 packed rows
Sun Feb  9 01:44:37 2014  matrix is 960047 x 960277 (278.4 MB) with weight 72253551 (75.24/col)
Sun Feb  9 01:44:37 2014  sparse part has weight 63385343 (66.01/col)
Sun Feb  9 01:44:37 2014  using block size 65536 for processor cache size 8192 kB
Sun Feb  9 01:44:39 2014  commencing Lanczos iteration (8 threads)
Sun Feb  9 01:44:39 2014  memory use: 269.1 MB
Sun Feb  9 01:44:44 2014  linear algebra at 0.3%, ETA 0h26m
Sun Feb  9 02:10:43 2014  lanczos halted after 15184 iterations (dim = 960044)
Sun Feb  9 02:10:44 2014  recovered 27 nontrivial dependencies
Sun Feb  9 02:10:44 2014  BLanczosTime: 1626
Sun Feb  9 02:10:44 2014  
Sun Feb  9 02:10:44 2014  commencing square root phase
Sun Feb  9 02:10:44 2014  reading relations for dependency 1
Sun Feb  9 02:10:44 2014  read 479614 cycles
Sun Feb  9 02:10:45 2014  cycles contain 1642200 unique relations
Sun Feb  9 02:10:57 2014  read 1642200 relations
Sun Feb  9 02:11:02 2014  multiplying 1642200 relations
Sun Feb  9 02:12:10 2014  multiply complete, coefficients have about 76.10 million bits
Sun Feb  9 02:12:11 2014  initial square root is modulo 289889
Sun Feb  9 02:13:34 2014  GCD is N, no factor found
Sun Feb  9 02:13:34 2014  reading relations for dependency 2
Sun Feb  9 02:13:34 2014  read 480487 cycles
Sun Feb  9 02:13:34 2014  cycles contain 1643628 unique relations
Sun Feb  9 02:13:47 2014  read 1643628 relations
Sun Feb  9 02:13:51 2014  multiplying 1643628 relations
Sun Feb  9 02:15:00 2014  multiply complete, coefficients have about 76.16 million bits
Sun Feb  9 02:15:00 2014  initial square root is modulo 293201
Sun Feb  9 02:16:23 2014  GCD is N, no factor found
Sun Feb  9 02:16:23 2014  reading relations for dependency 3
Sun Feb  9 02:16:23 2014  read 480116 cycles
Sun Feb  9 02:16:24 2014  cycles contain 1642948 unique relations
Sun Feb  9 02:16:36 2014  read 1642948 relations
Sun Feb  9 02:16:41 2014  multiplying 1642948 relations
Sun Feb  9 02:17:50 2014  multiply complete, coefficients have about 76.13 million bits
Sun Feb  9 02:17:50 2014  initial square root is modulo 291677
Sun Feb  9 02:19:13 2014  GCD is 1, no factor found
Sun Feb  9 02:19:13 2014  reading relations for dependency 4
Sun Feb  9 02:19:13 2014  read 479963 cycles
Sun Feb  9 02:19:13 2014  cycles contain 1640410 unique relations
Sun Feb  9 02:19:25 2014  read 1640410 relations
Sun Feb  9 02:19:30 2014  multiplying 1640410 relations
Sun Feb  9 02:20:39 2014  multiply complete, coefficients have about 76.01 million bits
Sun Feb  9 02:20:39 2014  initial square root is modulo 286001
Sun Feb  9 02:22:03 2014  GCD is 1, no factor found
Sun Feb  9 02:22:03 2014  reading relations for dependency 5
Sun Feb  9 02:22:03 2014  read 479586 cycles
Sun Feb  9 02:22:03 2014  cycles contain 1639880 unique relations
Sun Feb  9 02:22:16 2014  read 1639880 relations
Sun Feb  9 02:22:20 2014  multiplying 1639880 relations
Sun Feb  9 02:23:29 2014  multiply complete, coefficients have about 75.99 million bits
Sun Feb  9 02:23:29 2014  initial square root is modulo 284989
Sun Feb  9 02:24:53 2014  sqrtTime: 849
--
n: 10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329
skew: 97726.42
c0: 195885800647920612194165679941
c1: 3041667501422697976098755
c2: -97966782295981099143
c3: -925392035283971
c4: 13563724018
c5: 21840
Y0: -858202772861754358330668
Y1: 9580273671217
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:04 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 4 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:51:39 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 39 秒 (日本時間)
4511e60 / 3681--
5043e6197 / 7537CypFebruary 8, 2014 07:27:54 UTC 2014 年 2 月 8 日 (土) 16 時 27 分 54 秒 (日本時間)

6×10243-7

c195

composite cofactor 合成数の残り
312950879596415799099005083174760562747134402736702187008162740637278798980656639697261626915894019421610871338664434126671474091039035435089989630818322819569919279489401727498147077876041293577<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 10:25:10 UTC 2014 年 1 月 1 日 (水) 19 時 25 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:40 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 40 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:47:16 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 16 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 13, 2014 12:11:36 UTC 2014 年 5 月 13 日 (火) 21 時 11 分 36 秒 (日本時間)

6×10244-7

c235

composite cofactor 合成数の残り
1122347087572990657127375888503857579883196168736497915398825712181935757807338343134786115601450390757225281380618744114296481457295895922104932352234048235087550039706710456631023549395180788218161627778064588483876750810897215793361<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 03:22:21 UTC 2014 年 1 月 4 日 (土) 12 時 22 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:40 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 40 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:47:26 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 26 秒 (日本時間)
4511e61567 / 401367CypMarch 10, 2014 01:39:34 UTC 2014 年 3 月 10 日 (月) 10 時 39 分 34 秒 (日本時間)
1500Dmitry DomanovMay 13, 2014 12:11:53 UTC 2014 年 5 月 13 日 (火) 21 時 11 分 53 秒 (日本時間)

6×10246-7

c240

name 名前Serge Batalov
date 日付October 28, 2013 02:43:25 UTC 2013 年 10 月 28 日 (月) 11 時 43 分 25 秒 (日本時間)
composite number 合成数
473599174548212040769627074591317458973090173835366349878809917892900440534058845171036789894277666933645045785594865427189218104338792011108110772636797345571346492181153894394172330583905947624193687538682199246172193871610894706984585373<240>
prime factors 素因数
79185560280536316602920477227070112291<38>
5980877989249031763041421765607091778713546104697997874426092659332549200886077790772981180182234410914727167204088189403564435292415014525748979304104736690734722714371543319564592527691886707137533503<202>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.3, --enable-asm-redc] [P-1]
Using B1=200000000, B2=32834242809628, polynomial x^1, x0=2495813513
Step 1 took 160914ms
Step 2 took 301903ms
********** Factor found in step 2: 79185560280536316602920477227070112291
Found probable prime factor of 38 digits: 79185560280536316602920477227070112291
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)

6×10247-7

c219

composite cofactor 合成数の残り
209760977173013735042998766615537461465941170778509768895677680487683174944700801995830534159648803229237492628038850152147309751027419851636672667813361186868419085566429269410363660897288200354184493351643605605379057<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 23:50:00 UTC 2014 年 1 月 4 日 (土) 8 時 50 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:41 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 41 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:47:37 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 37 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 13, 2014 12:12:13 UTC 2014 年 5 月 13 日 (火) 21 時 12 分 13 秒 (日本時間)

6×10248-7

c235

composite cofactor 合成数の残り
7711859169501601495312292096347070111007827151664349779971007965693955497397806893166936656559318631070994871987879771781145164363631613854356745563186050408441197824774239249731053004683909769562050479422125119639526901830536495663917<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:05 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 5 秒 (日本時間)
403e61935135CypDecember 31, 2013 22:01:13 UTC 2014 年 1 月 1 日 (水) 7 時 1 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:42 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 42 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:47:47 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 47 秒 (日本時間)
4511e61500 / 4010Dmitry DomanovMay 13, 2014 12:12:32 UTC 2014 年 5 月 13 日 (火) 21 時 12 分 32 秒 (日本時間)

6×10249-7

c218

name 名前Serge Batalov
date 日付November 2, 2013 13:45:01 UTC 2013 年 11 月 2 日 (土) 22 時 45 分 1 秒 (日本時間)
composite number 合成数
11021112808811727147890954588908245757234001152878189402970927784858966169177468123420428220742758939232512354240209082982161802371240049682979620306475236068968787519073640791694424355391382544079968915238955731933163<218>
prime factors 素因数
6837114297083333388507144355550317<34>
1611953863856460489751940106720545763960009598534595440622470584793666191691439561200746490581611219354395861044760899077664711187949329497235732601318715162216637236775541681785632439<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3058474683
Step 1 took 20713ms
Step 2 took 14569ms
********** Factor found in step 2: 6837114297083333388507144355550317
Found probable prime factor of 34 digits: 6837114297083333388507144355550317
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)

6×10250-7

c228

name 名前Serge Batalov
date 日付January 9, 2014 17:29:34 UTC 2014 年 1 月 10 日 (金) 2 時 29 分 34 秒 (日本時間)
composite number 合成数
102913635172209421799967455909910795535736596621431473704584406801921621435081781300081064816799316761572709078161580173634886925374678971273739876529774758138988435054334486493359181819236551815357730686584974294817890177139279<228>
prime factors 素因数
457243100175300144353938200139543487<36>
composite cofactor 合成数の残り
225074222296091243675655871284100707850715595512113991139178138260951637968132165989494988445348391494517834124998025176981442814659577297833119976457098799505496937497481564260179574972700017<192>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4277155030
Step 1 took 20860ms
Step 2 took 8149ms
********** Factor found in step 2: 457243100175300144353938200139543487
Found probable prime factor of 36 digits: 457243100175300144353938200139543487
Composite cofactor 

c192

name 名前Dmitry Domanov
date 日付March 4, 2014 06:01:05 UTC 2014 年 3 月 4 日 (火) 15 時 1 分 5 秒 (日本時間)
composite number 合成数
225074222296091243675655871284100707850715595512113991139178138260951637968132165989494988445348391494517834124998025176981442814659577297833119976457098799505496937497481564260179574972700017<192>
prime factors 素因数
10641006840191269172806186347061341221712871<44>
composite cofactor 合成数の残り
21151590791764362440855282219326306305380033809233825201883675449232821719640515175216135479709590982580392451419418402662587185780478168318857527527<149>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2398104050
Step 1 took 84018ms
Step 2 took 30254ms
********** Factor found in step 2: 10641006840191269172806186347061341221712871
Found probable prime factor of 44 digits: 10641006840191269172806186347061341221712871

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 10:25:51 UTC 2014 年 1 月 4 日 (土) 19 時 25 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:51:43 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 43 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:47:56 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 56 秒 (日本時間)
4511e6156767CypFebruary 18, 2014 15:00:20 UTC 2014 年 2 月 19 日 (水) 0 時 0 分 20 秒 (日本時間)
1500Dmitry DomanovFebruary 28, 2014 19:33:37 UTC 2014 年 3 月 1 日 (土) 4 時 33 分 37 秒 (日本時間)
5043e6500 / 6881Dmitry DomanovMarch 11, 2014 11:46:07 UTC 2014 年 3 月 11 日 (火) 20 時 46 分 7 秒 (日本時間)
5511e7100 / 17476Dmitry DomanovMarch 14, 2014 06:00:30 UTC 2014 年 3 月 14 日 (金) 15 時 0 分 30 秒 (日本時間)