Table of contents 目次

3×10101-7

c83

name 名前Sinkiti Sibata
date 日付August 26, 2007 07:36:07 UTC 2007 年 8 月 26 日 (日) 16 時 36 分 7 秒 (日本時間)
composite number 合成数
18178655562382559504603600172348702425295980655038020769681684834586255227122204987<83>
prime factors 素因数
1503944237661379360868402573256481<34>
12087320199218433786007971497669328028718661880027<50>
factorization results 素因数分解の結果
Number: 29993_101
N=18178655562382559504603600172348702425295980655038020769681684834586255227122204987
  ( 83 digits)
Divisors found:
 r1=1503944237661379360868402573256481 (pp34)
 r2=12087320199218433786007971497669328028718661880027 (pp50)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.70 hours.
Scaled time: 1.84 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_101
n:  18178655562382559504603600172348702425295980655038020769681684834586255227122204987
m:  13520163201302496320
deg: 4
c4: 544044
c3: 1525702999
c2: -2090212604885881
c1: -5785762335682389
c0: 1219195069438556895867
skew: 1379.250
type: gnfs
# adj. I(F,S) = 47.935
# E(F1,F2) = 1.453982e-03
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=12, maxS1=56.00000000, seed=1188103115.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 550000
alim: 550000
lpbr: 24
lpba: 24
mfbr: 40
mfba: 40
rlambda: 1.9
alambda: 1.9
qintsize: 10000

type: gnfs
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 40/40
Sieved algebraic special-q in [275000, 555001)
Primes: RFBsize:45322, AFBsize:45360, largePrimes:833800 encountered
Relations: rels:815718, finalFF:104325
Max relations in full relation-set: 0
Initial matrix: 90757 x 104325 with sparse part having weight 2839349.
Pruned matrix : 78966 x 79483 with weight 2017468.
Polynomial selection time: 0.10 hours.
Total sieving time: 2.49 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,82,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,550000,550000,24,24,40,40,1.9,1.9,10000
total time: 2.70 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10102-7

c99

name 名前Jo Yeong Uk
date 日付August 26, 2007 15:25:08 UTC 2007 年 8 月 27 日 (月) 0 時 25 分 8 秒 (日本時間)
composite number 合成数
545157186988915137197892058876976194802834817372342358713429038706160276212974741050336180265309831<99>
prime factors 素因数
3539577321355187357058316586614016942558507<43>
154017595180034784335600556931964288371618563510589261333<57>
factorization results 素因数分解の結果
Number: 29993_102
N=545157186988915137197892058876976194802834817372342358713429038706160276212974741050336180265309831
  ( 99 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=3539577321355187357058316586614016942558507 (pp43)
 r2=154017595180034784335600556931964288371618563510589261333 (pp57)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.35 hours.
Scaled time: 0.76 units (timescale=2.144).
Factorization parameters were as follows:
n: 545157186988915137197892058876976194802834817372342358713429038706160276212974741050336180265309831
m: 100000000000000000000
c5: 300
c0: -7
skew: 0.47
type: snfs
Factor base limits: 240000/240000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [120000, 195001)
Primes: RFBsize:21221, AFBsize:21254, largePrimes:888627 encountered
Relations: rels:745957, finalFF:50115
Max relations in full relation-set: 28
Initial matrix: 42541 x 50115 with sparse part having weight 1437684.
Pruned matrix : 37570 x 37846 with weight 922534.
Total sieving time: 0.34 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,240000,240000,25,25,43,43,2.1,2.1,15000
total time: 0.35 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

3×10107-7

c100

name 名前Jo Yeong Uk
date 日付August 26, 2007 15:55:30 UTC 2007 年 8 月 27 日 (月) 0 時 55 分 30 秒 (日本時間)
composite number 合成数
1761609046186588232628906784240055920987324559373280100718000725465837400560765961236391885739829381<100>
prime factors 素因数
277589851523296053332037672941<30>
1002459894818158467774433246518331<34>
6330513515041898460559917424038309211<37>
factorization results 素因数分解の結果
Number: 29993_107
N=1761609046186588232628906784240055920987324559373280100718000725465837400560765961236391885739829381
  ( 100 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=277589851523296053332037672941 (pp30)
 r2=1002459894818158467774433246518331 (pp34)
 r3=6330513515041898460559917424038309211 (pp37)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.45 hours.
Scaled time: 0.95 units (timescale=2.129).
Factorization parameters were as follows:
n: 1761609046186588232628906784240055920987324559373280100718000725465837400560765961236391885739829381
m: 1000000000000000000000
c5: 300
c0: -7
skew: 0.47
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, 260001)
Primes: RFBsize:30757, AFBsize:30684, largePrimes:962858 encountered
Relations: rels:879575, finalFF:80338
Max relations in full relation-set: 28
Initial matrix: 61507 x 80338 with sparse part having weight 3456094.
Pruned matrix : 53164 x 53535 with weight 1683537.
Total sieving time: 0.42 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,107,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.45 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

3×10109-7

c81

name 名前Sinkiti Sibata
date 日付August 26, 2007 06:30:56 UTC 2007 年 8 月 26 日 (日) 15 時 30 分 56 秒 (日本時間)
composite number 合成数
315625778553815587004811754086956831579675851159971598797911152419592933173695849<81>
prime factors 素因数
2248059687775148500471809593908702163<37>
140399198593424783364159287344550310097264723<45>
factorization results 素因数分解の結果
Sun Aug 26 13:50:58 2007  Msieve v. 1.26
Sun Aug 26 13:50:58 2007  random seeds: 1451f000 cc105488
Sun Aug 26 13:50:58 2007  factoring 315625778553815587004811754086956831579675851159971598797911152419592933173695849 (81 digits)
Sun Aug 26 13:50:59 2007  commencing quadratic sieve (81-digit input)
Sun Aug 26 13:50:59 2007  using multiplier of 41
Sun Aug 26 13:50:59 2007  using 64kb Pentium 2 sieve core
Sun Aug 26 13:50:59 2007  sieve interval: 6 blocks of size 65536
Sun Aug 26 13:50:59 2007  processing polynomials in batches of 17
Sun Aug 26 13:50:59 2007  using a sieve bound of 1317713 (50343 primes)
Sun Aug 26 13:50:59 2007  using large prime bound of 129135874 (26 bits)
Sun Aug 26 13:50:59 2007  using trial factoring cutoff of 27 bits
Sun Aug 26 13:50:59 2007  polynomial 'A' values have 10 factors
Sun Aug 26 15:12:14 2007  50617 relations (26609 full + 24008 combined from 267360 partial), need 50439
Sun Aug 26 15:12:16 2007  begin with 293969 relations
Sun Aug 26 15:12:16 2007  reduce to 71642 relations in 2 passes
Sun Aug 26 15:12:16 2007  attempting to read 71642 relations
Sun Aug 26 15:12:19 2007  recovered 71642 relations
Sun Aug 26 15:12:19 2007  recovered 60192 polynomials
Sun Aug 26 15:12:19 2007  attempting to build 50617 cycles
Sun Aug 26 15:12:19 2007  found 50617 cycles in 1 passes
Sun Aug 26 15:12:19 2007  distribution of cycle lengths:
Sun Aug 26 15:12:19 2007     length 1 : 26609
Sun Aug 26 15:12:19 2007     length 2 : 24008
Sun Aug 26 15:12:19 2007  largest cycle: 2 relations
Sun Aug 26 15:12:19 2007  matrix is 50343 x 50617 with weight 1561449 (avg 30.85/col)
Sun Aug 26 15:12:22 2007  filtering completed in 4 passes
Sun Aug 26 15:12:22 2007  matrix is 42140 x 42204 with weight 1269497 (avg 30.08/col)
Sun Aug 26 15:12:24 2007  saving the first 48 matrix rows for later
Sun Aug 26 15:12:24 2007  matrix is 42092 x 42204 with weight 1011189 (avg 23.96/col)
Sun Aug 26 15:12:24 2007  matrix includes 64 packed rows
Sun Aug 26 15:12:24 2007  commencing Lanczos iteration
Sun Aug 26 15:15:12 2007  lanczos halted after 667 iterations
Sun Aug 26 15:15:13 2007  recovered 13 nontrivial dependencies
Sun Aug 26 15:15:13 2007  prp37 factor: 2248059687775148500471809593908702163
Sun Aug 26 15:15:13 2007  prp45 factor: 140399198593424783364159287344550310097264723
Sun Aug 26 15:15:13 2007  elapsed time 01:24:15
execution environment 実行環境
Celeron 750MHz,Windows 2000)

3×10111-7

c105

name 名前Jo Yeong Uk
date 日付August 26, 2007 16:39:59 UTC 2007 年 8 月 27 日 (月) 1 時 39 分 59 秒 (日本時間)
composite number 合成数
349688293683149068972402483299761314427008338550488403811649026252149271675050054965171628762981157978797<105>
prime factors 素因数
27835335642957025433655367694790412609627019<44>
12562747515193989773402390442014510943362606451247158043351463<62>
factorization results 素因数分解の結果
Number: 29993_111
N=349688293683149068972402483299761314427008338550488403811649026252149271675050054965171628762981157978797
  ( 105 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=27835335642957025433655367694790412609627019 (pp44)
 r2=12562747515193989773402390442014510943362606451247158043351463 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.69 hours.
Scaled time: 1.46 units (timescale=2.124).
Factorization parameters were as follows:
n: 349688293683149068972402483299761314427008338550488403811649026252149271675050054965171628762981157978797
m: 10000000000000000000000
c5: 30
c0: -7
skew: 0.75
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:30494, largePrimes:1020947 encountered
Relations: rels:931251, finalFF:80704
Max relations in full relation-set: 28
Initial matrix: 61318 x 80704 with sparse part having weight 3972837.
Pruned matrix : 55579 x 55949 with weight 2017566.
Total sieving time: 0.66 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 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: 0.69 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

3×10116-7

c113

name 名前Jo Yeong Uk
date 日付August 27, 2007 01:17:14 UTC 2007 年 8 月 27 日 (月) 10 時 17 分 14 秒 (日本時間)
composite number 合成数
52530204867798984416039222552967956575030642619506216074242689546489231308002101208194711959376641568902118718263<113>
prime factors 素因数
3219174617934997967729103654362313099113789<43>
16317910987225509303709497983754427492567247926719168101616013003489667<71>
factorization results 素因数分解の結果
Number: 29993_116
N=52530204867798984416039222552967956575030642619506216074242689546489231308002101208194711959376641568902118718263
  ( 113 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=3219174617934997967729103654362313099113789 (pp43)
 r2=16317910987225509303709497983754427492567247926719168101616013003489667 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.83 hours.
Scaled time: 1.78 units (timescale=2.145).
Factorization parameters were as follows:
n: 52530204867798984416039222552967956575030642619506216074242689546489231308002101208194711959376641568902118718263
m: 100000000000000000000000
c5: 30
c0: -7
skew: 0.75
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 420001)
Primes: RFBsize:49098, AFBsize:48776, largePrimes:1881701 encountered
Relations: rels:1830654, finalFF:116660
Max relations in full relation-set: 28
Initial matrix: 97941 x 116660 with sparse part having weight 9492117.
Pruned matrix : 92238 x 92791 with weight 6099665.
Total sieving time: 0.77 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,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 0.83 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

3×10117-7

c95

name 名前Sinkiti Sibata
date 日付August 27, 2007 02:14:41 UTC 2007 年 8 月 27 日 (月) 11 時 14 分 41 秒 (日本時間)
composite number 合成数
40959181770543213619060402870043933276823141622498530960829661372304663576743954789636163799123<95>
prime factors 素因数
218367804382939724096025924452209<33>
187569691815535808504272490616328250324358050799297959129311747<63>
factorization results 素因数分解の結果
Number: 29993_117
N=40959181770543213619060402870043933276823141622498530960829661372304663576743954789636163799123
  ( 95 digits)
Divisors found:
 r1=218367804382939724096025924452209 (pp33)
 r2=187569691815535808504272490616328250324358050799297959129311747 (pp63)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 10.53 hours.
Scaled time: 7.19 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_117
n:  40959181770543213619060402870043933276823141622498530960829661372304663576743954789636163799123
m:  5448565826898695520624
deg: 4
c4: 46475328
c3: 101344500712
c2: -472255512414059034
c1: -394563556785377973
c0: 235363264286578010957443
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.318
# E(F1,F2) = 3.772756e-05
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1188142345.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1440001)
Primes: RFBsize:92938, AFBsize:92847, largePrimes:1898276 encountered
Relations: rels:1986717, finalFF:212386
Max relations in full relation-set: 0
Initial matrix: 185859 x 212386 with sparse part having weight 15227931.
Pruned matrix : 173280 x 174273 with weight 11148304.
Polynomial selection time: 0.17 hours.
Total sieving time: 9.50 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 10.53 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10119-7

c83

name 名前Sinkiti Sibata
date 日付August 26, 2007 10:37:11 UTC 2007 年 8 月 26 日 (日) 19 時 37 分 11 秒 (日本時間)
composite number 合成数
72097153886714024932882352086117787528471155467902080177717553304923243985903849091<83>
prime factors 素因数
188290868464416554619696945024940247957<39>
382903082208360177830892669855412560821185463<45>
factorization results 素因数分解の結果
Number: 29993_119
N=72097153886714024932882352086117787528471155467902080177717553304923243985903849091
  ( 83 digits)
Divisors found:
 r1=188290868464416554619696945024940247957 (pp39)
 r2=382903082208360177830892669855412560821185463 (pp45)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.71 hours.
Scaled time: 1.85 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_119
n:  72097153886714024932882352086117787528471155467902080177717553304923243985903849091
m:  15077363100825086328
deg: 4
c4: 1395136
c3: 4169473474
c2: -4457287606760667
c1: -10940135386059515
c0: 222330235747687799275
skew: 1379.250
type: gnfs
# adj. I(F,S) = 48.893
# E(F1,F2) = 1.238494e-03
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=2, maxS1=56.00000000, seed=1188114582.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 550000
alim: 550000
lpbr: 24
lpba: 24
mfbr: 40
mfba: 40
rlambda: 1.9
alambda: 1.9
qintsize: 10000

type: gnfs
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 40/40
Sieved algebraic special-q in [275000, 555001)
Primes: RFBsize:45322, AFBsize:45273, largePrimes:832054 encountered
Relations: rels:813824, finalFF:104604
Max relations in full relation-set: 0
Initial matrix: 90669 x 104604 with sparse part having weight 2856065.
Pruned matrix : 78768 x 79285 with weight 2014929.
Polynomial selection time: 0.14 hours.
Total sieving time: 2.45 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,82,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,550000,550000,24,24,40,40,1.9,1.9,10000
total time: 2.71 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10122-7

c102

name 名前Sinkiti Sibata
date 日付August 27, 2007 05:11:50 UTC 2007 年 8 月 27 日 (月) 14 時 11 分 50 秒 (日本時間)
composite number 合成数
171984981557338943720876089963265461754031849148782559859775844954175603505748020782384283778686631879<102>
prime factors 素因数
83874866130091704225931620360708407017715883677<47>
2050494856118000514981197734640153342657783824277403827<55>
factorization results 素因数分解の結果
Number: 29993_122
N=171984981557338943720876089963265461754031849148782559859775844954175603505748020782384283778686631879
  ( 102 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=83874866130091704225931620360708407017715883677 (pp47)
 r2=2050494856118000514981197734640153342657783824277403827 (pp55)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.62 hours.
Scaled time: 1.79 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_122
n: 171984981557338943720876089963265461754031849148782559859775844954175603505748020782384283778686631879
m: 1000000000000000000000000
c5: 300
c0: -7
skew: 0.47
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:64153, largePrimes:2107885 encountered
Relations: rels:2154235, finalFF:132169
Max relations in full relation-set: 0
Initial matrix: 113317 x 132169 with sparse part having weight 7558650.
Pruned matrix : 105278 x 105908 with weight 5324836.
Total sieving time: 2.35 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.62 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10123-7

c99

name 名前Sinkiti Sibata
date 日付August 27, 2007 08:06:43 UTC 2007 年 8 月 27 日 (月) 17 時 6 分 43 秒 (日本時間)
composite number 合成数
493922938997974498580414521518774754063241395387693330419187722978244874523656899408600794577962409<99>
prime factors 素因数
25717660438571745381489038333885826323571075209<47>
19205593766110280619993552722286434599284651570080801<53>
factorization results 素因数分解の結果
Number: 29993_123
N=493922938997974498580414521518774754063241395387693330419187722978244874523656899408600794577962409
  ( 99 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=25717660438571745381489038333885826323571075209 (pp47)
 r2=19205593766110280619993552722286434599284651570080801 (pp53)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.60 hours.
Scaled time: 1.78 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_123
n: 493922938997974498580414521518774754063241395387693330419187722978244874523656899408600794577962409
m: 1000000000000000000000000
c5: 3000
c0: -7
skew: 0.3
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:63898, largePrimes:2059050 encountered
Relations: rels:2063041, finalFF:130571
Max relations in full relation-set: 0
Initial matrix: 113063 x 130571 with sparse part having weight 8675304.
Pruned matrix : 106089 x 106718 with weight 6142343.
Total sieving time: 2.31 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.60 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10124-7

c105

name 名前Sinkiti Sibata
date 日付August 27, 2007 11:49:45 UTC 2007 年 8 月 27 日 (月) 20 時 49 分 45 秒 (日本時間)
composite number 合成数
240894616469499568232342324414062368452631433109656235581566054386083610865203017018054074083650312745503<105>
prime factors 素因数
32069277584934255341895947641<29>
7511694512964920660213222237541918019312926923461518825741959466812334839383<76>
factorization results 素因数分解の結果
Number: 29993_124
N=240894616469499568232342324414062368452631433109656235581566054386083610865203017018054074083650312745503
  ( 105 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=32069277584934255341895947641 (pp29)
 r2=7511694512964920660213222237541918019312926923461518825741959466812334839383 (pp76)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 3.48 hours.
Scaled time: 2.38 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_124
n: 240894616469499568232342324414062368452631433109656235581566054386083610865203017018054074083650312745503
m: 10000000000000000000000000
c5: 3
c0: -70
skew: 1.88
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, 700001)
Primes: RFBsize:49098, AFBsize:63523, largePrimes:2122134 encountered
Relations: rels:2121787, finalFF:127648
Max relations in full relation-set: 0
Initial matrix: 112686 x 127648 with sparse part having weight 11268270.
Pruned matrix : 108940 x 109567 with weight 8489035.
Total sieving time: 3.12 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10126-7

c126

name 名前Jo Yeong Uk
date 日付August 27, 2007 06:30:20 UTC 2007 年 8 月 27 日 (月) 15 時 30 分 20 秒 (日本時間)
composite number 合成数
176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529<126>
prime factors 素因数
1947761627248864935777984869025486217<37>
90601737793013067707297429917950567899839201443202358104654069381901149336940160966925537<89>
factorization results 素因数分解の結果
Number: 29993_126
N=176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529
  ( 126 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1947761627248864935777984869025486217 (pp37)
 r2=90601737793013067707297429917950567899839201443202358104654069381901149336940160966925537 (pp89)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.98 hours.
Scaled time: 4.25 units (timescale=2.144).
Factorization parameters were as follows:
n: 176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529
m: 10000000000000000000000000
c5: 30
c0: -7
skew: 0.75
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 900001)
Primes: RFBsize:78498, AFBsize:77956, largePrimes:1553141 encountered
Relations: rels:1599584, finalFF:219775
Max relations in full relation-set: 28
Initial matrix: 156521 x 219775 with sparse part having weight 11340321.
Pruned matrix : 126978 x 127824 with weight 5262878.
Total sieving time: 1.91 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,126,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 1.98 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

3×10128-7

c121

name 名前Jo Yeong Uk
date 日付August 27, 2007 12:23:13 UTC 2007 年 8 月 27 日 (月) 21 時 23 分 13 秒 (日本時間)
composite number 合成数
2264221228240843430860612299610477719961224154829802377186244279416764084156061387777267380382909546467657520568921509239<121>
prime factors 素因数
7537788328018616405984189140699812345322214029<46>
300382702420089950889070923665817867552296755414839069498484220494663049491<75>
factorization results 素因数分解の結果
Number: 29993_128
N=2264221228240843430860612299610477719961224154829802377186244279416764084156061387777267380382909546467657520568921509239
  ( 121 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=7537788328018616405984189140699812345322214029 (pp46)
 r2=300382702420089950889070923665817867552296755414839069498484220494663049491 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.00 hours.
Scaled time: 4.28 units (timescale=2.143).
Factorization parameters were as follows:
n: 2264221228240843430860612299610477719961224154829802377186244279416764084156061387777267380382909546467657520568921509239
m: 20000000000000000000000000
c5: 375
c0: -28
skew: 0.6
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 900001)
Primes: RFBsize:78498, AFBsize:78556, largePrimes:1541786 encountered
Relations: rels:1589228, finalFF:219946
Max relations in full relation-set: 28
Initial matrix: 157121 x 219946 with sparse part having weight 11082418.
Pruned matrix : 127164 x 128013 with weight 5146045.
Total sieving time: 1.92 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,129,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 2.00 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

3×10129-7

c130

name 名前Jo Yeong Uk
date 日付August 26, 2007 23:13:46 UTC 2007 年 8 月 27 日 (月) 8 時 13 分 46 秒 (日本時間)
composite number 合成数
2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<130>
prime factors 素因数
13634014563100632163485094139<29>
139215960043020963366563162682325387847822463557<48>
1580550856695477889083277991070258583743421455170186591<55>
factorization results 素因数分解の結果
Number: 29993_129
N=2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 130 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=13634014563100632163485094139 (pp29)
 r2=139215960043020963366563162682325387847822463557 (pp48)
 r3=1580550856695477889083277991070258583743421455170186591 (pp55)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.83 hours.
Scaled time: 6.07 units (timescale=2.146).
Factorization parameters were as follows:
n: 2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 100000000000000000000000000
c5: 3
c0: -70
skew: 1.88
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 1100001)
Primes: RFBsize:78498, AFBsize:78021, largePrimes:1578298 encountered
Relations: rels:1600735, finalFF:197381
Max relations in full relation-set: 28
Initial matrix: 156584 x 197381 with sparse part having weight 12021455.
Pruned matrix : 141849 x 142695 with weight 6882715.
Total sieving time: 2.73 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 2.83 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

3×10131-7

c90

name 名前Sinkiti Sibata
date 日付August 26, 2007 15:19:14 UTC 2007 年 8 月 27 日 (月) 0 時 19 分 14 秒 (日本時間)
composite number 合成数
950061506922361956173978053504580512762590466557036500602670856517685312193088447730154311<90>
prime factors 素因数
59726562069597109314324525106720499<35>
15906850721045874492067807848099118867247459356850020189<56>
factorization results 素因数分解の結果
Number: 29993_131
N=950061506922361956173978053504580512762590466557036500602670856517685312193088447730154311
  ( 90 digits)
Divisors found:
 r1=59726562069597109314324525106720499 (pp35)
 r2=15906850721045874492067807848099118867247459356850020189 (pp56)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 4.36 hours.
Scaled time: 2.98 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_131
n:  950061506922361956173978053504580512762590466557036500602670856517685312193088447730154311
m:  576763940886060425848
deg: 4
c4: 8585376
c3: 46043290
c2: -8500336392011611
c1: -3690164694860894122
c0: -277517425059888154185
skew: 1635.250
type: gnfs
# adj. I(F,S) = 51.668
# E(F1,F2) = 1.698649e-04
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1188125202.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 710001)
Primes: RFBsize:56543, AFBsize:56519, largePrimes:1558747 encountered
Relations: rels:1522078, finalFF:127569
Max relations in full relation-set: 0
Initial matrix: 113135 x 127569 with sparse part having weight 11105184.
Pruned matrix : 108854 x 109483 with weight 7940686.
Polynomial selection time: 0.17 hours.
Total sieving time: 3.84 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,89,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 4.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10133-7

c106

name 名前Sinkiti Sibata
date 日付August 27, 2007 21:15:01 UTC 2007 年 8 月 28 日 (火) 6 時 15 分 1 秒 (日本時間)
composite number 合成数
1080412091966688465073393571002351107257249643609478820582139591078383292048067595486362712519605523810341<106>
prime factors 素因数
63642234051349873089290850183434749198604956677859<50>
16976338245683764819391125937000990768709124738416339799<56>
factorization results 素因数分解の結果
Number: 29993_133
N=1080412091966688465073393571002351107257249643609478820582139591078383292048067595486362712519605523810341
  ( 106 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=63642234051349873089290850183434749198604956677859 (pp50)
 r2=16976338245683764819391125937000990768709124738416339799 (pp56)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 6.23 hours.
Scaled time: 4.26 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_133
n: 1080412091966688465073393571002351107257249643609478820582139591078383292048067595486362712519605523810341
m: 100000000000000000000000000
c5: 3000
c0: -7
skew: 0.3
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, 1050001)
Primes: RFBsize:63951, AFBsize:63898, largePrimes:1485231 encountered
Relations: rels:1478487, finalFF:143556
Max relations in full relation-set: 0
Initial matrix: 127916 x 143556 with sparse part having weight 8668341.
Pruned matrix : 123225 x 123928 with weight 6769206.
Total sieving time: 5.87 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.23 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10137-7

c119

name 名前Jo Yeong Uk
date 日付August 28, 2007 03:32:44 UTC 2007 年 8 月 28 日 (火) 12 時 32 分 44 秒 (日本時間)
composite number 合成数
31686184251217596357918040854365672841886369996089982649246803699536335662325290122709751508408702299412468090548693231<119>
prime factors 素因数
6476427849686591970532300943502577690100886356016287<52>
4892540299472487410211328047955667103685004673915706548024083374513<67>
factorization results 素因数分解の結果
Number: 29993_137
N=31686184251217596357918040854365672841886369996089982649246803699536335662325290122709751508408702299412468090548693231
  ( 119 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=6476427849686591970532300943502577690100886356016287 (pp52)
 r2=4892540299472487410211328047955667103685004673915706548024083374513 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.06 hours.
Scaled time: 8.71 units (timescale=2.144).
Factorization parameters were as follows:
n: 31686184251217596357918040854365672841886369996089982649246803699536335662325290122709751508408702299412468090548693231
m: 1000000000000000000000000000
c5: 300
c0: -7
skew: 0.47
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [700000, 1450001)
Primes: RFBsize:107126, AFBsize:107463, largePrimes:1828766 encountered
Relations: rels:1902577, finalFF:244082
Max relations in full relation-set: 28
Initial matrix: 214655 x 244082 with sparse part having weight 14922660.
Pruned matrix : 203114 x 204251 with weight 10251762.
Total sieving time: 3.87 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,45,45,2.3,2.3,50000
total time: 4.06 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

3×10140-7

c109

name 名前Sinkiti Sibata
date 日付August 28, 2007 08:59:15 UTC 2007 年 8 月 28 日 (火) 17 時 59 分 15 秒 (日本時間)
composite number 合成数
1156203248298208234556461217638104374790212162863416385692985595553452438217200154827872278873776193460016713<109>
prime factors 素因数
37093886403445655363232597242736014387<38>
31169644391610806846824618395203670558943768245441618617177544108945299<71>
factorization results 素因数分解の結果
Number: 29993_140
N=1156203248298208234556461217638104374790212162863416385692985595553452438217200154827872278873776193460016713
  ( 109 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=37093886403445655363232597242736014387 (pp38)
 r2=31169644391610806846824618395203670558943768245441618617177544108945299 (pp71)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 11.33 hours.
Scaled time: 7.74 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_140
n: 1156203248298208234556461217638104374790212162863416385692985595553452438217200154827872278873776193460016713
m: 10000000000000000000000000000
c5: 3
c0: -7
skew: 1.18
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, 1600001)
Primes: RFBsize:78498, AFBsize:63643, largePrimes:1541967 encountered
Relations: rels:1525645, finalFF:159967
Max relations in full relation-set: 0
Initial matrix: 142206 x 159967 with sparse part having weight 16090240.
Pruned matrix : 137684 x 138459 with weight 12233010.
Total sieving time: 10.69 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 11.33 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10146-7

c147

name 名前Jo Yeong Uk
date 日付August 28, 2007 11:21:25 UTC 2007 年 8 月 28 日 (火) 20 時 21 分 25 秒 (日本時間)
composite number 合成数
299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<147>
prime factors 素因数
1854775915575395694657042218355139211068315081<46>
161744606170893075229127752358828695970725053902533763048339214947771986894331414501673269180172824753<102>
factorization results 素因数分解の結果
Number: 29993_146
N=299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 147 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1854775915575395694657042218355139211068315081 (pp46)
 r2=161744606170893075229127752358828695970725053902533763048339214947771986894331414501673269180172824753 (pp102)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.47 hours.
Scaled time: 24.54 units (timescale=2.139).
Factorization parameters were as follows:
n: 299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 100000000000000000000000000000
c5: 30
c0: -7
skew: 0.75
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1650001)
Primes: RFBsize:135072, AFBsize:134628, largePrimes:3935573 encountered
Relations: rels:4115354, finalFF:442086
Max relations in full relation-set: 28
Initial matrix: 269767 x 442086 with sparse part having weight 44669293.
Pruned matrix : 216898 x 218310 with weight 21091258.
Total sieving time: 11.13 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 11.47 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

3×10148-7

c138

name 名前Sinkiti Sibata
date 日付August 31, 2007 01:28:45 UTC 2007 年 8 月 31 日 (金) 10 時 28 分 45 秒 (日本時間)
composite number 合成数
107750767122114335539918675404254523033081059324968763324951362955270960653144758698026016767014068999370645903693836817954006385276819867<138>
prime factors 素因数
420246714641792212696158791990420325985853003<45>
256398832799819491996337343700283603386076585422635350041027234530711778924253071751054434289<93>
factorization results 素因数分解の結果
Number: 29993_148
N=107750767122114335539918675404254523033081059324968763324951362955270960653144758698026016767014068999370645903693836817954006385276819867
  ( 138 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=420246714641792212696158791990420325985853003 (pp45)
 r2=256398832799819491996337343700283603386076585422635350041027234530711778924253071751054434289 (pp93)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 25.94 hours.
Scaled time: 17.71 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_148
n: 107750767122114335539918675404254523033081059324968763324951362955270960653144758698026016767014068999370645903693836817954006385276819867
m: 100000000000000000000000000000
c5: 3000
c0: -7
skew: 0.3
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, 3150001)
Primes: RFBsize:114155, AFBsize:114337, largePrimes:2805135 encountered
Relations: rels:2752699, finalFF:257378
Max relations in full relation-set: 0
Initial matrix: 228559 x 257378 with sparse part having weight 32600512.
Pruned matrix : 220942 x 222148 with weight 25462064.
Total sieving time: 23.64 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.99 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 25.94 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10149-7

c109

name 名前Jo Yeong Uk
date 日付August 27, 2007 05:54:14 UTC 2007 年 8 月 27 日 (月) 14 時 54 分 14 秒 (日本時間)
composite number 合成数
4964650195723663148673014912438607890251680869080947772444245371902122523865281156139686646296525198610886611<109>
prime factors 素因数
21272798033221076607577777047006013<35>
233380215802854007300467394780726271343697166092228509059711875575719508047<75>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 4964650195723663148673014912438607890251680869080947772444245371902122523865281156139686646296525198610886611 (109 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2894591195
Step 1 took 16073ms
Step 2 took 11847ms
********** Factor found in step 2: 21272798033221076607577777047006013
Found probable prime factor of 35 digits: 21272798033221076607577777047006013
Probable prime cofactor 233380215802854007300467394780726271343697166092228509059711875575719508047 has 75 digits
execution environment 実行環境
Pentium 4 2.4GHz

3×10150-7

c141

name 名前Sinkiti Sibata
date 日付August 29, 2007 21:23:40 UTC 2007 年 8 月 30 日 (木) 6 時 23 分 40 秒 (日本時間)
composite number 合成数
190584649465462808903938036705578268690445781961768618815589675746482134493536309892422886710060193892941055624300006842351026644099218988293<141>
prime factors 素因数
16655019752526043619345197086882937152885261185068417<53>
11443075559040216743203773330203910152796400883206795006697965100458043235549364132362629<89>
factorization results 素因数分解の結果
Number: 29993_150
N=190584649465462808903938036705578268690445781961768618815589675746482134493536309892422886710060193892941055624300006842351026644099218988293
  ( 141 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=16655019752526043619345197086882937152885261185068417 (pp53)
 r2=11443075559040216743203773330203910152796400883206795006697965100458043235549364132362629 (pp89)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 32.25 hours.
Scaled time: 22.03 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_150
n: 190584649465462808903938036705578268690445781961768618815589675746482134493536309892422886710060193892941055624300006842351026644099218988293
m: 1000000000000000000000000000000
c5: 3
c0: -7
skew: 1.18
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, 1750001)
Primes: RFBsize:114155, AFBsize:113722, largePrimes:2720694 encountered
Relations: rels:2701121, finalFF:257590
Max relations in full relation-set: 0
Initial matrix: 227942 x 257590 with sparse part having weight 18606649.
Pruned matrix : 217974 x 219177 with weight 14397030.
Total sieving time: 30.84 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 32.25 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10151-7

c146

name 名前Sinkiti Sibata
date 日付September 1, 2007 20:15:23 UTC 2007 年 9 月 2 日 (日) 5 時 15 分 23 秒 (日本時間)
composite number 合成数
10063335277793338675846217477396910354803011889159741694310089600582868379289790176105012916290829047750190448620132238934440389665759736528464647<146>
prime factors 素因数
2776542823659779412773229802771285257042021400690501832194379669<64>
3624412053738393293775064001860434687254067055643958807515278373333482272091019563<82>
factorization results 素因数分解の結果
Number: 29993_151
N=10063335277793338675846217477396910354803011889159741694310089600582868379289790176105012916290829047750190448620132238934440389665759736528464647
  ( 146 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=2776542823659779412773229802771285257042021400690501832194379669 (pp64)
 r2=3624412053738393293775064001860434687254067055643958807515278373333482272091019563 (pp82)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 37.52 hours.
Scaled time: 25.63 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_151
n: 10063335277793338675846217477396910354803011889159741694310089600582868379289790176105012916290829047750190448620132238934440389665759736528464647
m: 1000000000000000000000000000000
c5: 30
c0: -7
skew: 0.75
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, 2200001)
Primes: RFBsize:176302, AFBsize:175908, largePrimes:5608103 encountered
Relations: rels:5543957, finalFF:398769
Max relations in full relation-set: 0
Initial matrix: 352277 x 398769 with sparse part having weight 27944746.
Pruned matrix : 328978 x 330803 with weight 21639137.
Total sieving time: 33.50 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.62 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 37.52 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10154-7

c130

name 名前Sinkiti Sibata
date 日付September 18, 2007 00:16:46 UTC 2007 年 9 月 18 日 (火) 9 時 16 分 46 秒 (日本時間)
composite number 合成数
1445901871538147156341447649224847712631394873758699363989919101940155761354755440420714445084445119451525115463081130749559659129<130>
prime factors 素因数
3638448521596708316295882652136033250258553<43>
397395170759107781009516079528422156485067127226121794287339983126117723660641650772993<87>
factorization results 素因数分解の結果
Number: 29993_154
N=1445901871538147156341447649224847712631394873758699363989919101940155761354755440420714445084445119451525115463081130749559659129
  ( 130 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=3638448521596708316295882652136033250258553 (pp43)
 r2=397395170759107781009516079528422156485067127226121794287339983126117723660641650772993 (pp87)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 57.07 hours.
Scaled time: 38.64 units (timescale=0.677).
Factorization parameters were as follows:
name: 29993_154
n: 1445901871538147156341447649224847712631394873758699363989919101940155761354755440420714445084445119451525115463081130749559659129
m: 10000000000000000000000000000000
c5: 3
c0: -70
skew: 1.88
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2900001)
Primes: RFBsize:216816, AFBsize:215951, largePrimes:5611743 encountered
Relations: rels:5508735, finalFF:488116
Max relations in full relation-set: 28
Initial matrix: 432832 x 488116 with sparse part having weight 40130555.
Pruned matrix : 407641 x 409869 with weight 29858979.
Total sieving time: 49.60 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 6.99 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 57.07 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

3×10156-7

c144

name 名前Robert Backstrom
date 日付September 20, 2007 13:17:39 UTC 2007 年 9 月 20 日 (木) 22 時 17 分 39 秒 (日本時間)
composite number 合成数
147590028461556508171293018028553114061238888148651494440046585451722939356778788070173271532586662801688015902136310673316237331594165849307399<144>
prime factors 素因数
755863572447083289435283827464011678816063064420816854967<57>
195260141964162497840754186283403004144880025879973776465137141067044484471377181806897<87>
factorization results 素因数分解の結果
Number: n
N=147590028461556508171293018028553114061238888148651494440046585451722939356778788070173271532586662801688015902136310673316237331594165849307399
  ( 144 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=755863572447083289435283827464011678816063064420816854967 (pp57)
 r2=195260141964162497840754186283403004144880025879973776465137141067044484471377181806897 (pp87)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 45.23 hours.
Scaled time: 54.00 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_2_9_155_3
n: 147590028461556508171293018028553114061238888148651494440046585451722939356778788070173271532586662801688015902136310673316237331594165849307399
type: snfs
skew: 1.00
deg: 5
c5: 30
c0: -7
m: 10000000000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2000001)
Primes: RFBsize:148933, AFBsize:148635, largePrimes:6806936 encountered
Relations: rels:6172026, finalFF:337910
Max relations in full relation-set: 28
Initial matrix: 297635 x 337910 with sparse part having weight 32569506.
Pruned matrix : 284193 x 285745 with weight 24619977.
Total sieving time: 41.64 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 3.19 hours.
Total square root time: 0.10 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.3,2.3,100000
total time: 45.23 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

3×10158-7

c133

name 名前suberi
date 日付November 3, 2007 13:03:15 UTC 2007 年 11 月 3 日 (土) 22 時 3 分 15 秒 (日本時間)
composite number 合成数
3580257850225164627404836853606844290357386870515998826943797062408011849614535981097388373034324355416498626742076743203763054265019<133>
prime factors 素因数
263885431718243596975433066048441779693678318105769<51>
13567470651611743221749122292261888185172901056388384006891037144978168857382893251<83>
factorization results 素因数分解の結果
Number: 29993_158
N=3580257850225164627404836853606844290357386870515998826943797062408011849614535981097388373034324355416498626742076743203763054265019
  ( 133 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=263885431718243596975433066048441779693678318105769 (pp51)
 r2=13567470651611743221749122292261888185172901056388384006891037144978168857382893251 (pp83)
Version: GGNFS-0.77.1-20060722-k8
Total time: 49.54 hours.
Scaled time: 72.72 units (timescale=1.468).
Factorization parameters were as follows:
n: 3580257850225164627404836853606844290357386870515998826943797062408011849614535981097388373034324355416498626742076743203763054265019
m: 10000000000000000000000000000000
c5: 3000
c0: -7
skew: 0.3
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3300001)
Primes: RFBsize:283146, AFBsize:283037, largePrimes:5584207 encountered
Relations: rels:5598336, finalFF:647691
Max relations in full relation-set: 32
Initial matrix: 566250 x 647691 with sparse part having weight 39597994.
Pruned matrix : 499206 x 502101 with weight 26364073.
Total sieving time: 45.55 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.63 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 49.54 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Turion 64 X2 Mobile 1.79GHz, Windows XP and Cygwin

3×10159-7

c117

name 名前Sinkiti Sibata
date 日付September 21, 2007 10:39:23 UTC 2007 年 9 月 21 日 (金) 19 時 39 分 23 秒 (日本時間)
composite number 合成数
474622646348587991570103845490157192795552107865333169185229129045216764037235466499265469910571227154142957278509839<117>
prime factors 素因数
2429003868169712771564765938483840128221281<43>
195398061142744316558324686703766895073805079591953321661587802348156465519<75>
factorization results 素因数分解の結果
Number: 29993_159
N=474622646348587991570103845490157192795552107865333169185229129045216764037235466499265469910571227154142957278509839
  ( 117 digits)
Divisors found:
 r1=2429003868169712771564765938483840128221281 (pp43)
 r2=195398061142744316558324686703766895073805079591953321661587802348156465519 (pp75)
Version: GGNFS-0.77.1-20060513-k8
Total time: 56.60 hours.
Scaled time: 112.69 units (timescale=1.991).
Factorization parameters were as follows:
name: 29993_159
n: 474622646348587991570103845490157192795552107865333169185229129045216764037235466499265469910571227154142957278509839
skew: 102878.62
# norm 3.14e+16
c5: 34440
c4: -149392696
c3: -462455782301352
c2: -52512162914560500217
c1: 816599221770534738053210
c0: 165609389373825212343298147000
# alpha -6.78
Y1: 2030600269627
Y0: -26782868643055112543701
# Murphy_E 3.95e-10
# M 344120893185492553582171471745909403370088932927055061806908622580423741637740107782212930561733866315489917027001449
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 3870001)
Primes: RFBsize:315948, AFBsize:316176, largePrimes:7649847 encountered
Relations: rels:7779364, finalFF:809585
Max relations in full relation-set: 28
Initial matrix: 632210 x 809585 with sparse part having weight 68072410.
Pruned matrix : 480081 x 483306 with weight 39163890.
Total sieving time: 52.80 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 3.04 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 56.60 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

3×10160-7

c117

name 名前Jo Yeong Uk
date 日付August 28, 2007 09:24:31 UTC 2007 年 8 月 28 日 (火) 18 時 24 分 31 秒 (日本時間)
composite number 合成数
198905772361264065161331627118031230047697009326967433541160680920432161531701698650354213209399564953782862230293697<117>
prime factors 素因数
156576499347676290337540161614647420749481<42>
1270342440851204099715174694929205958381506676212657967303937958146615630937<76>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 198905772361264065161331627118031230047697009326967433541160680920432161531701698650354213209399564953782862230293697 (117 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3734854031
Step 1 took 6777ms
********** Factor found in step 1: 156576499347676290337540161614647420749481
Found probable prime factor of 42 digits: 156576499347676290337540161614647420749481
Probable prime cofactor 1270342440851204099715174694929205958381506676212657967303937958146615630937 has 76 digits
execution environment 実行環境
Core 2 Quad Q6600

3×10162-7

c158

name 名前Robert Backstrom
date 日付September 20, 2007 00:24:38 UTC 2007 年 9 月 20 日 (木) 9 時 24 分 38 秒 (日本時間)
composite number 合成数
11497380513473013731704793257936066899424747728309233546290370177327932119465448455326928014900605145461025796289412062285142701654473055888766675992319749817<158>
prime factors 素因数
4051197719261188815701375854427236740369079486103<49>
20165397378055339711076080733916793276540156689149<50>
140737126881900958635390331620494185432391996158454693370011<60>
factorization results 素因数分解の結果
Number: n
N=11497380513473013731704793257936066899424747728309233546290370177327932119465448455326928014900605145461025796289412062285142701654473055888766675992319749817
  ( 158 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=4051197719261188815701375854427236740369079486103 (pp49)
 r2=20165397378055339711076080733916793276540156689149 (pp50)
 r3=140737126881900958635390331620494185432391996158454693370011 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 45.25 hours.
Scaled time: 65.43 units (timescale=1.446).
Factorization parameters were as follows:
name: KA_2_9_161_3
n: 11497380513473013731704793257936066899424747728309233546290370177327932119465448455326928014900605145461025796289412062285142701654473055888766675992319749817
skew: 0.47
deg: 5
c5: 300
c0: -7
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2100001)
Primes: RFBsize:250150, AFBsize:249771, largePrimes:7357986 encountered
Relations: rels:6887181, finalFF:570721
Max relations in full relation-set: 28
Initial matrix: 499987 x 570721 with sparse part having weight 39576388.
Pruned matrix : 441715 x 444278 with weight 26543781.
Total sieving time: 39.63 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 5.09 hours.
Total square root time: 0.31 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 45.25 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

3×10163-7

c138

name 名前Jo Yeong Uk
date 日付October 24, 2007 10:47:08 UTC 2007 年 10 月 24 日 (水) 19 時 47 分 8 秒 (日本時間)
composite number 合成数
538138412661422597488419495675429280517806274824826262607238333566551177120328816928435085546693510307070803109969517419689209675810938609<138>
prime factors 素因数
984803325251956195887249668731139<33>
546442521935781460110773913223987286991730594097092602213887622250012599971203648826978554376441175284731<105>
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 538138412661422597488419495675429280517806274824826262607238333566551177120328816928435085546693510307070803109969517419689209675810938609 (138 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4192204273
Step 1 took 15515ms
Step 2 took 10407ms
********** Factor found in step 2: 984803325251956195887249668731139
Found probable prime factor of 33 digits: 984803325251956195887249668731139
Probable prime cofactor 546442521935781460110773913223987286991730594097092602213887622250012599971203648826978554376441175284731 has 105 digits
execution environment 実行環境
Pentium 4 3.2GHz

3×10165-7

c143

name 名前Robert Backstrom
date 日付January 24, 2008 04:33:52 UTC 2008 年 1 月 24 日 (木) 13 時 33 分 52 秒 (日本時間)
composite number 合成数
21705623988186509688790428902323610401675410826005059910283930842779622114834229639699870079593155974739505331652907856358417153429937020853777<143>
prime factors 素因数
9586550427068758139277418251508130186850823<43>
763966565598162182661254838642609221002481461<45>
2963709019423440832352969589339376348532317934047934059<55>
factorization results 素因数分解の結果
Number: n
N=21705623988186509688790428902323610401675410826005059910283930842779622114834229639699870079593155974739505331652907856358417153429937020853777
  ( 143 digits)
SNFS difficulty: 165 digits.
Divisors found:

Thu Jan 24 15:26:22 2008  prp43 factor: 9586550427068758139277418251508130186850823
Thu Jan 24 15:26:22 2008  prp45 factor: 763966565598162182661254838642609221002481461
Thu Jan 24 15:26:22 2008  prp55 factor: 2963709019423440832352969589339376348532317934047934059
Thu Jan 24 15:26:22 2008  elapsed time 02:15:02 (Msieve 1.33, sqrts: 6)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 49.56 hours.
Scaled time: 86.88 units (timescale=1.753).
Factorization parameters were as follows:
name: KA_2_9_164_3
n: 21705623988186509688790428902323610401675410826005059910283930842779622114834229639699870079593155974739505331652907856358417153429937020853777
type: snfs
skew: 1.18
deg: 5
c5: 3
c0: -7
m: 1000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2400109)
Primes: RFBsize:230209, AFBsize:229717, largePrimes:7315297 encountered
Relations: rels:6790830, finalFF:500470
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 49.24 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 49.56 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

3×10166-7

c147

name 名前Robert Backstrom
date 日付January 26, 2008 09:13:11 UTC 2008 年 1 月 26 日 (土) 18 時 13 分 11 秒 (日本時間)
composite number 合成数
262104517358950568229392646975475073832192212584139002189008516545530131509021579305206164560915839602751144638772767618539909590293230081939024081<147>
prime factors 素因数
611255532829942634147397320551746694935812453256656449<54>
428796965068732802120208918501494985696065115728677764830252574676814510715480757019757325969<93>
factorization results 素因数分解の結果
Number: n
N=262104517358950568229392646975475073832192212584139002189008516545530131509021579305206164560915839602751144638772767618539909590293230081939024081
  ( 147 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Jan 26 19:52:25 2008  prp54 factor: 611255532829942634147397320551746694935812453256656449
Sat Jan 26 19:52:25 2008  prp93 factor: 428796965068732802120208918501494985696065115728677764830252574676814510715480757019757325969
Sat Jan 26 19:52:25 2008  elapsed time 01:02:35 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 65.89 hours.
Scaled time: 55.08 units (timescale=0.836).
Factorization parameters were as follows:
name: KA_2_9_165_3
n: 262104517358950568229392646975475073832192212584139002189008516545530131509021579305206164560915839602751144638772767618539909590293230081939024081
type: snfs
deg: 5
c5: 30
c0: -7
skew: 0.75
m: 1000000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4125767)
Primes: RFBsize:216816, AFBsize:216451, largePrimes:5784372 encountered
Relations: rels:5641483, finalFF:469726
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 65.66 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 65.89 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

3×10167-7

c168

name 名前Jo Yeong Uk
date 日付August 27, 2007 09:48:08 UTC 2007 年 8 月 27 日 (月) 18 時 48 分 8 秒 (日本時間)
composite number 合成数
299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<168>
prime factors 素因数
655467036657994741996643867126553366964783<42>
457688919841947776110399176672643492197644369408954631966772160173721908536961345672536829147905758344010973197701056308278871<126>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993 (168 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3265550511
Step 1 took 25627ms
Step 2 took 11066ms
********** Factor found in step 2: 655467036657994741996643867126553366964783
Found probable prime factor of 42 digits: 655467036657994741996643867126553366964783
Probable prime cofactor 457688919841947776110399176672643492197644369408954631966772160173721908536961345672536829147905758344010973197701056308278871 has 126 digits
execution environment 実行環境
Core 2 Quad Q6600

3×10169-7

c134

name 名前matsui
date 日付March 6, 2008 21:42:45 UTC 2008 年 3 月 7 日 (金) 6 時 42 分 45 秒 (日本時間)
composite number 合成数
11713954345988395280440301043503701161036869491532050378454230366913521079611328147373022160571672903577472106907091023297491402886247<134>
prime factors 素因数
275860320126853307413096987739888963147811740022702997<54>
42463353702343919630941476770580199897205148009535304984674887647746788420522251<80>
factorization results 素因数分解の結果
N=11713954345988395280440301043503701161036869491532050378454230366913521079611328147373022160571672903577472106907091023297491402886247
  ( 134 digits)

SNFS difficulty: 170 digits.
Divisors found:

 r1=275860320126853307413096987739888963147811740022702997 (pp54)

 r2=42463353702343919630941476770580199897205148009535304984674887647746788420522251 (pp80)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 161.74 hours.

Scaled time: 179.53 units (timescale=1.110).

Factorization parameters were as follows:

n: 11713954345988395280440301043503701161036869491532050378454230366913521079611328147373022160571672903577472106907091023297491402886247
m: 10000000000000000000000000000000000
c5: 3
c0: -70
skew: 1.88

type: snfs


Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 9100001)

Primes: RFBsize:412849, AFBsize:410791, largePrimes:6338389 encountered

Relations: rels:6667763, finalFF:975562

Max relations in full relation-set: 28

Initial matrix: 823705 x 975562 with sparse part having weight 74465554.

Pruned matrix : 701852 x 706034 with weight 56385039.

Total sieving time: 145.54 hours.

Total relation processing time: 0.16 hours.

Matrix solve time: 15.65 hours.
Time per square root: 0.38 hours.

Prototype def-par.txt line would be:

snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 161.74 hours.

3×10170-7

c161

name 名前matsui
date 日付March 30, 2008 22:26:41 UTC 2008 年 3 月 31 日 (月) 7 時 26 分 41 秒 (日本時間)
composite number 合成数
27131436025458323930591267505429410259473495251355363977569652855593983278520297559202448651242915986462611185758700258775413350613530637554314092810703209994473<161>
prime factors 素因数
6500447580664317282363738571189216214014916119<46>
4173779680365580296879466841090799172626675464658891545229584269857535434533778203229820960806843647214822728845567<115>
factorization results 素因数分解の結果
N=27131436025458323930591267505429410259473495251355363977569652855593983278520297559202448651242915986462611185758700258775413350613530637554314092810703209994473
  ( 161 digits)

SNFS difficulty: 170 digits.

Divisors found:

 r1=6500447580664317282363738571189216214014916119 (pp46)

 r2=4173779680365580296879466841090799172626675464658891545229584269857535434533778203229820960806843647214822728845567 (pp115)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 116.18 hours.
Scaled time: 98.99 units (timescale=0.852).

Factorization parameters were as follows:

n: 27131436025458323930591267505429410259473495251355363977569652855593983278520297559202448651242915986462611185758700258775413350613530637554314092810703209994473
m: 10000000000000000000000000000000000
c5: 3
c0: -7
skew: 1.18
type: snfs


Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 7100001)

Primes: RFBsize:412849, AFBsize:411971, largePrimes:6063193 encountered

Relations: rels:6355607, finalFF:953328

Max relations in full relation-set: 28

Initial matrix: 824885 x 953328 with sparse part having weight 55798413.

Pruned matrix : 718666 x 722854 with weight 40153351.

Total sieving time: 107.72 hours.

Total relation processing time: 0.12 hours.

Matrix solve time: 8.05 hours.

Time per square root: 0.29 hours.

Prototype def-par.txt line would be:

snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 116.18 hours.

3×10171-7

c157

name 名前Robert Backstrom
date 日付October 1, 2008 19:02:17 UTC 2008 年 10 月 2 日 (木) 4 時 2 分 17 秒 (日本時間)
composite number 合成数
1574327777949404635376174768673852196943179488710897574632998700132319413715457346172529249449492909562247276388632517481561461992754350763645351691241306623<157>
prime factors 素因数
69185802781796879642077085597448791268734799821577537651715919383668229<71>
22755069893669253071145751833555900531496535657694741960060249774778750742959661038387<86>
factorization results 素因数分解の結果
Number: n
N=1574327777949404635376174768673852196943179488710897574632998700132319413715457346172529249449492909562247276388632517481561461992754350763645351691241306623
  ( 157 digits)
SNFS difficulty: 171 digits.
Divisors found:

Thu Oct 02 04:55:00 2008  prp71 factor: 69185802781796879642077085597448791268734799821577537651715919383668229
Thu Oct 02 04:55:01 2008  prp86 factor: 22755069893669253071145751833555900531496535657694741960060249774778750742959661038387
Thu Oct 02 04:55:01 2008  elapsed time 02:13:30 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 16.58 hours.
Scaled time: 34.00 units (timescale=2.051).
Factorization parameters were as follows:
name: KA_2_9_170_3
n: 1574327777949404635376174768673852196943179488710897574632998700132319413715457346172529249449492909562247276388632517481561461992754350763645351691241306623
type: snfs
skew: 0.75
deg: 5
c5: 30
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, 3800001)
Primes: RFBsize:425648, AFBsize:425482, largePrimes:13895280 encountered
Relations: rels:13425134, finalFF:1026037
Max relations in full relation-set: 28
Initial matrix: 851197 x 1026037 with sparse part having weight 114941916.
Pruned matrix : 
Total sieving time: 16.25 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,52,52,2.5,2.5,100000
total time: 16.58 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 KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)

3×10174-7

c141

name 名前Serge Batalov
date 日付August 7, 2008 06:25:14 UTC 2008 年 8 月 7 日 (木) 15 時 25 分 14 秒 (日本時間)
composite number 合成数
340183754064371686208551774591740325554225929720786294610488881281895596896325926768230605903768966316334239916728194724956212967063043118849<141>
prime factors 素因数
2335652610416605452519508897978433<34>
145648266590335890831386445560195486299154390924262334577765318323875048848015754190501837612604655871004353<108>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=4118715206
Step 1 took 6085ms
Step 2 took 5302ms
********** Factor found in step 2: 2335652610416605452519508897978433
Found probable prime factor of 34 digits: 2335652610416605452519508897978433
Probable prime cofactor 145648266590335890831386445560195486299154390924262334577765318323875048848015754190501837612604655871004353 has 108 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)

3×10176-7

c143

name 名前Wataru Sakai
date 日付September 3, 2011 07:39:13 UTC 2011 年 9 月 3 日 (土) 16 時 39 分 13 秒 (日本時間)
composite number 合成数
11837305297500476833272061812632709569273438156977425706603207959380043080856984547345584022048778543024109119089522487518143570839379652439467<143>
prime factors 素因数
39095261597244485619068133819782484306059424743<47>
42468855839398963583713796156992828584395131493<47>
7129485079984366578469881481595333626428127113433<49>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3970631523
Step 1 took 51806ms
********** Factor found in step 1: 42468855839398963583713796156992828584395131493
Found probable prime factor of 47 digits: 42468855839398963583713796156992828584395131493
Composite cofactor 278729084255640336629040845933397195607242480061022896622358756295080974724611153744185087872719 has 96 digits
-------------
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2531216095
Step 1 took 49965ms
Step 2 took 19283ms
********** Factor found in step 2: 39095261597244485619068133819782484306059424743
Found probable prime factor of 47 digits: 39095261597244485619068133819782484306059424743
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 11, 2010 02:49:14 UTC 2010 年 9 月 11 日 (土) 11 時 49 分 14 秒 (日本時間)
4511e64000Wataru SakaiSeptember 3, 2011 07:37:01 UTC 2011 年 9 月 3 日 (土) 16 時 37 分 1 秒 (日本時間)

3×10179-7

c115

name 名前Jo Yeong Uk
date 日付September 17, 2007 23:23:31 UTC 2007 年 9 月 18 日 (火) 8 時 23 分 31 秒 (日本時間)
composite number 合成数
3080333212497190998320588518704248460835256890165010422176507062229667521801892368359086189741076768397158739397379<115>
prime factors 素因数
666955264597468844867283661741291944087841<42>
4618500484221053916134988602864131972644643376658791905760135103112512419<73>
factorization results 素因数分解の結果
Number: 29993_179
N=3080333212497190998320588518704248460835256890165010422176507062229667521801892368359086189741076768397158739397379
  ( 115 digits)
Divisors found:
 r1=666955264597468844867283661741291944087841 (pp42)
 r2=4618500484221053916134988602864131972644643376658791905760135103112512419 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.35 hours.
Scaled time: 54.10 units (timescale=2.134).
Factorization parameters were as follows:
name: 29993_179
n: 3080333212497190998320588518704248460835256890165010422176507062229667521801892368359086189741076768397158739397379
skew: 64606.11
# norm 5.65e+15
c5: 24480
c4: -1282831244
c3: -285274267141254
c2: 2653256384091794754
c1: 627807025803164651781771
c0: 5959752286338459471323474153
# alpha -5.69
Y1: 974878789993
Y0: -10470265171305626182350
# Murphy_E 5.27e-10
# M 1462313019062199735784145259341739798397661617108705271681928514346601554110168923675620598322111573351965792712109
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1800000, 3075001)
Primes: RFBsize:256726, AFBsize:257074, largePrimes:7591771 encountered
Relations: rels:7548192, finalFF:646497
Max relations in full relation-set: 28
Initial matrix: 513883 x 646497 with sparse part having weight 56504637.
Pruned matrix : 406596 x 409229 with weight 33984511.
Polynomial selection time: 1.33 hours.
Total sieving time: 22.77 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.96 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 25.35 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: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.37 BogoMIPS (lpj=2407686)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.11 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

3×10180-7

c173

name 名前Wataru Sakai
date 日付July 18, 2010 08:56:01 UTC 2010 年 7 月 18 日 (日) 17 時 56 分 1 秒 (日本時間)
composite number 合成数
11597204098100919558162450689316356763537171835993468439189010764636950163555176108782300180105739363917090830218675450151952173408632330162164207449256075888299735028240487<173>
prime factors 素因数
18218911558565048518907704188010364273260408975797311424365795208880848437<74>
636547581935478392192518274158705222612881545178444040160000302005921128060650521624507852845684651<99>
factorization results 素因数分解の結果
Number: 29993_180
N=11597204098100919558162450689316356763537171835993468439189010764636950163555176108782300180105739363917090830218675450151952173408632330162164207449256075888299735028240487
  ( 173 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=18218911558565048518907704188010364273260408975797311424365795208880848437
 r2=636547581935478392192518274158705222612881545178444040160000302005921128060650521624507852845684651
Version: 
Total time: 181.16 hours.
Scaled time: 363.76 units (timescale=2.008).
Factorization parameters were as follows:
n: 11597204098100919558162450689316356763537171835993468439189010764636950163555176108782300180105739363917090830218675450151952173408632330162164207449256075888299735028240487
m: 1000000000000000000000000000000000000
deg: 5
c5: 3
c0: -7
skew: 1.18
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 896910 x 897158
Total sieving time: 181.16 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 181.16 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 KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 19, 2010 12:32:38 UTC 2010 年 6 月 19 日 (土) 21 時 32 分 38 秒 (日本時間)
403e62144110Ignacio SantosJune 19, 2010 12:32:38 UTC 2010 年 6 月 19 日 (土) 21 時 32 分 38 秒 (日本時間)
2034Wataru SakaiJune 29, 2010 05:50:26 UTC 2010 年 6 月 29 日 (火) 14 時 50 分 26 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 19, 2010 12:32:38 UTC 2010 年 6 月 19 日 (土) 21 時 32 分 38 秒 (日本時間)

3×10181-7

c141

name 名前Serge Batalov
date 日付August 2, 2008 17:02:34 UTC 2008 年 8 月 3 日 (日) 2 時 2 分 34 秒 (日本時間)
composite number 合成数
225113876614599605396566797511627802344376274678170112418148764182246251259403855553787474163792292164819910723234901280077554950153327257823<141>
prime factors 素因数
1724512309637715528857993530467193207<37>
130537703533059377398780785440600547165396660129485394210598345885209061956376547057033455498259978403289<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=4240482263
Step 1 took 18495ms
Step 2 took 16306ms
********** Factor found in step 2: 1724512309637715528857993530467193207
Found probable prime factor of 37 digits: 1724512309637715528857993530467193207
Probable prime cofactor 130537703533059377398780785440600547165396660129485394210598345885209061956376547057033455498259978403289 has 105 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)

3×10188-7

c174

name 名前Dmitry Domanov
date 日付April 2, 2012 18:57:11 UTC 2012 年 4 月 3 日 (火) 3 時 57 分 11 秒 (日本時間)
composite number 合成数
563225531107067631860010730837416411659680240167133813031633518755964288240206350514851318183551932448042433036109401457622408019328888441845942073520779158876980505242419301<174>
prime factors 素因数
4796490522412971876641932518607628488439561046089<49>
1548673479290345529774086700765886016829551091546368457457<58>
75822636452665473690053506995583104798022226107761589852599634157837<68>
factorization results 素因数分解の結果
N=563225531107067631860010730837416411659680240167133813031633518755964288240206350514851318183551932448042433036109401457622408019328888441845942073520779158876980505242419301
  ( 174 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=4796490522412971876641932518607628488439561046089 (pp49)
 r2=1548673479290345529774086700765886016829551091546368457457 (pp58)
 r3=75822636452665473690053506995583104798022226107761589852599634157837 (pp68)
Version: Msieve-1.40
Total time: 235.66 hours.
Scaled time: 464.02 units (timescale=1.969).
Factorization parameters were as follows:
n: 563225531107067631860010730837416411659680240167133813031633518755964288240206350514851318183551932448042433036109401457622408019328888441845942073520779158876980505242419301
m: 10000000000000000000000000000000000000
deg: 5
c5: 3000
c0: -7
skew: 0.30
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4850000, 8450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1828902 x 1829127
Total sieving time: 231.20 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.72 hours.
Time per square root: 0.53 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 235.66 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 KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 20, 2010 20:10:30 UTC 2010 年 10 月 21 日 (木) 5 時 10 分 30 秒 (日本時間)
403e61610110Ignacio SantosOctober 20, 2010 20:10:30 UTC 2010 年 10 月 21 日 (木) 5 時 10 分 30 秒 (日本時間)
500Dmitry DomanovJanuary 27, 2012 06:36:50 UTC 2012 年 1 月 27 日 (金) 15 時 36 分 50 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 07:15:40 UTC 2012 年 1 月 31 日 (火) 16 時 15 分 40 秒 (日本時間)
4511e6382 / 340732Ignacio SantosOctober 20, 2010 20:10:30 UTC 2010 年 10 月 21 日 (木) 5 時 10 分 30 秒 (日本時間)
100Lionel DebrouxJanuary 27, 2012 12:22:08 UTC 2012 年 1 月 27 日 (金) 21 時 22 分 8 秒 (日本時間)
250Dmitry DomanovFebruary 1, 2012 09:35:58 UTC 2012 年 2 月 1 日 (水) 18 時 35 分 58 秒 (日本時間)
5043e6200 / 7405Dmitry DomanovMarch 17, 2012 20:36:21 UTC 2012 年 3 月 18 日 (日) 5 時 36 分 21 秒 (日本時間)

3×10189-7

c175

name 名前Serge Batalov
date 日付September 18, 2008 05:29:54 UTC 2008 年 9 月 18 日 (木) 14 時 29 分 54 秒 (日本時間)
composite number 合成数
1156197229316160396762315730175930111081283203778573999467088600070417101990118265692270415871328771104272033008565072588817320507710785715366738566584516960163137868646008187<175>
prime factors 素因数
349757439117349435285448300528377<33>
3305711616124445048311225343825846971474411661265757514018027000415495130450466308113753852376938088222883119475153546917208332615074442720531<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3188158830
Step 1 took 29325ms
Step 2 took 18759ms
********** Factor found in step 2: 349757439117349435285448300528377
Found probable prime factor of 33 digits: 349757439117349435285448300528377
Probable prime cofactor 3305711616124445048311225343825846971474411661265757514018027000415495130450466308113753852376938088222883119475153546917208332615074442720531 has 142 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)

3×10191-7

c161

name 名前Evan Engler
date 日付December 4, 2020 17:30:09 UTC 2020 年 12 月 5 日 (土) 2 時 30 分 9 秒 (日本時間)
composite number 合成数
84472442371853755570598610642670278068996299561350872616834134266116465590055271388113540351841293220600893956637689213302570537404174146409794186156823212514537<161>
prime factors 素因数
2278631333105426678642989188997941682082106465747542676422629<61>
37071570615475874792831155477310112380542882577696775118572376854857598428995124720928778214297628853<101>
factorization results 素因数分解の結果
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 2278631333105426678642989188997941682082106465747542676422629 37071570615475874792831155477310112380542882577696775118572376854857598428995124720928778214297628853
Info:Square Root: Total cpu/real time for sqrt: 1593.84/3892.49
Info:Square Root: Total cpu/real time for sqrt: 1593.84/3892.49
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.48/576.324
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 574.4000000000001s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.66/0.892766
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28277470
Info:Lattice Sieving: Average J: 7582.32 for 329777 special-q, max bucket fill -bkmult 1.0,1s:1.084710
Info:Lattice Sieving: Total time: 385450s
Info:Generate Free Relations: Total cpu/real time for freerel: 115.01/16.1932
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 490.3/3246.02
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 2976.1s
Info:Linear Algebra: Total cpu/real time for bwc: 31966.3/8967.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19728.64, WCT time 5546.5, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (58000 iterations)
Info:Linear Algebra: Lingen CPU time 403.92, WCT time 53.24
Info:Linear Algebra: Mksol: CPU time 10726.58,  WCT time 3022.37, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (30000 iterations)
Info:Filtering - Merging: Total cpu/real time for merge: 204.7/34.3514
Info:Filtering - Merging: Total cpu/real time for replay: 44.8/99.3545
Info:Filtering - Singleton removal: Total cpu/real time for purge: 413.99/3212.83
Info:Quadratic Characters: Total cpu/real time for characters: 58.27/16.4759
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 753091/131867
2278631333105426678642989188997941682082106465747542676422629 37071570615475874792831155477310112380542882577696775118572376854857598428995124720928778214297628853
software ソフトウェア
CADO-NFS - latest commit
execution environment 実行環境
Windows 10 64-bit - i7-7700k - run through WSL

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 20, 2010 20:48:56 UTC 2010 年 10 月 21 日 (木) 5 時 48 分 56 秒 (日本時間)
403e61610110Ignacio SantosOctober 20, 2010 20:48:56 UTC 2010 年 10 月 21 日 (木) 5 時 48 分 56 秒 (日本時間)
500Dmitry DomanovJanuary 27, 2012 06:37:05 UTC 2012 年 1 月 27 日 (金) 15 時 37 分 5 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 07:15:49 UTC 2012 年 1 月 31 日 (火) 16 時 15 分 49 秒 (日本時間)
4511e6428232Ignacio SantosOctober 20, 2010 20:48:56 UTC 2010 年 10 月 21 日 (木) 5 時 48 分 56 秒 (日本時間)
250Dmitry DomanovFebruary 1, 2012 09:36:07 UTC 2012 年 2 月 1 日 (水) 18 時 36 分 7 秒 (日本時間)
4000Robert BalfourApril 15, 2020 11:06:23 UTC 2020 年 4 月 15 日 (水) 20 時 6 分 23 秒 (日本時間)
5043e6300 / 6530200Dmitry DomanovMarch 17, 2012 20:36:45 UTC 2012 年 3 月 18 日 (日) 5 時 36 分 45 秒 (日本時間)
100Evan EnglerDecember 4, 2020 13:02:42 UTC 2020 年 12 月 4 日 (金) 22 時 2 分 42 秒 (日本時間)

3×10193-7

c187

name 名前Robert Backstrom
date 日付February 3, 2010 11:09:55 UTC 2010 年 2 月 3 日 (水) 20 時 9 分 55 秒 (日本時間)
composite number 合成数
2007201705907348505949446216394676339059456057704640402789180727839439385887271136352490311739166011705598908510475016995980444770473474126935837321921900985944168614042610617387812980453<187>
prime factors 素因数
7785800216772576316291503712882966307<37>
257802878319858510467556950027222406520466634448254185169836969158945420710729762366838181616309841193336589551434596424788675155977440139488578094679<150>
factorization results 素因数分解の結果
Number: n
N=2007201705907348505949446216394676339059456057704640402789180727839439385887271136352490311739166011705598908510475016995980444770473474126935837321921900985944168614042610617387812980453
  ( 187 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Feb  3 22:00:25 2010  prp37 factor: 7785800216772576316291503712882966307
Wed Feb  3 22:00:25 2010  prp150 factor: 257802878319858510467556950027222406520466634448254185169836969158945420710729762366838181616309841193336589551434596424788675155977440139488578094679
Wed Feb  3 22:00:25 2010  elapsed time 05:42:36 (Msieve 1.42 - dependency 1)

Version: 
Total time: 17.56 hours.
Scaled time: 14.77 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_2_9_192_3
n: 2007201705907348505949446216394676339059456057704640402789180727839439385887271136352490311739166011705598908510475016995980444770473474126935837321921900985944168614042610617387812980453
m: 100000000000000000000000000000000000000
deg: 5
c5: 3000
c0: -7
skew: 0.30
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10496971)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3589551 hash collisions in 29484219 relations
Msieve: matrix is 1505642 x 1505867 (404.6 MB)

Total sieving time: 17.56 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,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,56,56,2.5,2.5,100000
total time: 17.56 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 KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)
351e60--
403e60 / 1059--
4511e6370 / 4479Dmitry DomanovDecember 12, 2009 05:20:51 UTC 2009 年 12 月 12 日 (土) 14 時 20 分 51 秒 (日本時間)

3×10194-7

c165

name 名前Ignacio Santos
date 日付October 20, 2010 22:11:53 UTC 2010 年 10 月 21 日 (木) 7 時 11 分 53 秒 (日本時間)
composite number 合成数
744640872852904611291755255231823307308468548198988147991712895923330197484924929112939701419349803255698181873510387775922617840793203753606810847110672127348771711<165>
prime factors 素因数
112071493021442909393674585029677197<36>
6644337938019891239477287115706515132728307180369419919904025437013944643157929741455683656766105933130195700587489543602655323963<130>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2274255721
Step 1 took 7550ms
Step 2 took 5835ms
********** Factor found in step 2: 112071493021442909393674585029677197
Found probable prime factor of 36 digits: 112071493021442909393674585029677197
Probable prime cofactor 6644337938019891239477287115706515132728307180369419919904025437013944643157929741455683656766105933130195700587489543602655323963 has 130 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)

3×10195-7

c183

name 名前Serge Batalov
date 日付October 22, 2008 08:48:20 UTC 2008 年 10 月 22 日 (水) 17 時 48 分 20 秒 (日本時間)
composite number 合成数
120202639669058973888268402090971402561363544532247161895386154452471510366259104194772554978811683839054088817399849252798657635273332700636799211174747179998589745178664132032947751<183>
prime factors 素因数
3410320049990177024859778486328134861<37>
composite cofactor 合成数の残り
35246732830663562403369748164068680908724548385265603739345073793139596507744308018070883299760651207926080099361321383824319522570619998407671491<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3556153323
Step 1 took 29388ms
********** Factor found in step 1: 3410320049990177024859778486328134861
Found probable prime factor of 37 digits: 3410320049990177024859778486328134861
Composite cofactor 35246732830663562403369748164068680908724548385265603739345073793139596507744308018070883299760651207926080099361321383824319522570619998407671491 has 146 digits
software ソフトウェア
GMP-ECM 6.2.1

c146

name 名前Dmitry Domanov
date 日付January 31, 2012 09:16:07 UTC 2012 年 1 月 31 日 (火) 18 時 16 分 7 秒 (日本時間)
composite number 合成数
35246732830663562403369748164068680908724548385265603739345073793139596507744308018070883299760651207926080099361321383824319522570619998407671491<146>
prime factors 素因数
710588370560844311211918946607363690651<39>
49602180799616044206014822452439128530879215132254198474045971548246026243176361683054309676103107706734841<107>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2230358255
Step 1 took 21758ms
Step 2 took 9101ms
********** Factor found in step 2: 710588370560844311211918946607363690651
Found probable prime factor of 39 digits: 710588370560844311211918946607363690651

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 20, 2010 22:57:51 UTC 2010 年 10 月 21 日 (木) 7 時 57 分 51 秒 (日本時間)
403e61610 / 2144110Ignacio SantosOctober 20, 2010 22:57:51 UTC 2010 年 10 月 21 日 (木) 7 時 57 分 51 秒 (日本時間)
500Dmitry DomanovJanuary 27, 2012 06:37:18 UTC 2012 年 1 月 27 日 (金) 15 時 37 分 18 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 07:16:03 UTC 2012 年 1 月 31 日 (火) 16 時 16 分 3 秒 (日本時間)
4511e632 / 4109Ignacio SantosOctober 20, 2010 22:57:51 UTC 2010 年 10 月 21 日 (木) 7 時 57 分 51 秒 (日本時間)

3×10196-7

c175

name 名前Edwin Hall
date 日付January 1, 2021 13:19:17 UTC 2021 年 1 月 1 日 (金) 22 時 19 分 17 秒 (日本時間)
composite number 合成数
1138136629527926185494163100278909144228558660475166767396335709851632501516920808886668131717636797745150831060574461448133565709914093606153528200547329751721513549069076367<175>
prime factors 素因数
31773773717937730708136347678564195626607648185450043<53>
798258493834142218816022485265218572989636991735050515751<57>
44872684733249019767457114203614686817489313911832356356899274619<65>
factorization results 素因数分解の結果
found factor: 44872684733249019767457114203614686817489313911832356356899274619
p53 factor: 31773773717937730708136347678564195626607648185450043
p57 factor: 798258493834142218816022485265218572989636991735050515751
p65 factor: 44872684733249019767457114203614686817489313911832356356899274619


Msieve v. 1.54 (SVN 1034)
random seeds: feb28aae d7b8083f
factoring 1138136629527926185494163100278909144228558660475166767396335709851632501516920808886668131717636797745150831060574461448133565709914093606153528200547329751721513549069076367 (175 digits)
searching for 15-digit factors
commencing number field sieve (175-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 30
skew 1.00, size 1.029e-13, alpha 1.462, combined = 2.044e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2270934 hash collisions in 36493635 relations
added 727976 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37221611 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1236.9 MB
keeping 40133528 ideals with weight <= 200, target excess is 196134
commencing in-memory singleton removal
begin with 37221611 relations and 40133528 unique ideals
reduce to 14063605 relations and 12999329 ideals in 14 passes
max relations containing the same ideal: 111
removing 2170600 relations and 1770600 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11893005 relations and 12999329 unique ideals
reduce to 11602174 relations and 10927229 ideals in 9 passes
max relations containing the same ideal: 96
removing 1753762 relations and 1353762 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9848412 relations and 10927229 unique ideals
reduce to 9612404 relations and 9329124 ideals in 8 passes
max relations containing the same ideal: 85
removing 362187 relations and 306423 ideals in 55764 cliques
commencing in-memory singleton removal
begin with 9250217 relations and 9329124 unique ideals
reduce to 9239768 relations and 9012175 ideals in 7 passes
max relations containing the same ideal: 85
relations with 0 large ideals: 3927
relations with 1 large ideals: 7146
relations with 2 large ideals: 66328
relations with 3 large ideals: 344836
relations with 4 large ideals: 1069944
relations with 5 large ideals: 2069540
relations with 6 large ideals: 2626612
relations with 7+ large ideals: 3051435
commencing 2-way merge
reduce to 5732879 relation sets and 5505286 unique ideals
commencing full merge
memory use: 656.0 MB
found 2682679 cycles, need 2659486
weight of 2659486 cycles is about 239628427 (90.10/cycle)
distribution of cycle lengths:
1 relations: 228514
2 relations: 232117
3 relations: 239967
4 relations: 231609
5 relations: 222845
6 relations: 204357
7 relations: 188354
8 relations: 169013
9 relations: 151755
10+ relations: 790955
heaviest cycle: 28 relations
commencing cycle optimization
start with 19634933 relations
pruned 664196 relations
memory use: 579.0 MB
distribution of cycle lengths:
1 relations: 228514
2 relations: 237877
3 relations: 249302
4 relations: 239468
5 relations: 231056
6 relations: 210475
7 relations: 193567
8 relations: 172507
9 relations: 154347
10+ relations: 742373
heaviest cycle: 28 relations
RelProcTime: 995
elapsed time 00:16:36


Msieve v. 1.54 (SVN 1034)
random seeds: 7126d82d 259d364e
factoring 1138136629527926185494163100278909144228558660475166767396335709851632501516920808886668131717636797745150831060574461448133565709914093606153528200547329751721513549069076367 (175 digits)
searching for 15-digit factors
commencing number field sieve (175-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 30
skew 1.00, size 1.029e-13, alpha 1.462, combined = 2.044e-11 rroots = 1

commencing linear algebra
read 2659486 cycles
cycles contain 9084264 unique relations
read 9084264 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1148.9 MB
read 2659486 cycles
matrix is 2659306 x 2659486 (977.4 MB) with weight 287017495 (107.92/col)
sparse part has weight 226955797 (85.34/col)
filtering completed in 2 passes
matrix is 2658604 x 2658784 (977.3 MB) with weight 286992067 (107.94/col)
sparse part has weight 226946924 (85.36/col)
matrix starts at (0, 0)
matrix is 2658604 x 2658784 (977.3 MB) with weight 286992067 (107.94/col)
sparse part has weight 226946924 (85.36/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2658556 x 2658784 (929.8 MB) with weight 236131794 (88.81/col)
sparse part has weight 217157126 (81.68/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 887.1 MB
linear algebra at 0.1%, ETA 3h23m
checkpointing every 820000 dimensions
lanczos halted after 42045 iterations (dim = 2658556)
recovered 39 nontrivial dependencies
BLanczosTime: 12509
elapsed time 03:28:30


Msieve v. 1.54 (SVN 1034)
random seeds: d83a386a d93bc1ca
factoring 1138136629527926185494163100278909144228558660475166767396335709851632501516920808886668131717636797745150831060574461448133565709914093606153528200547329751721513549069076367 (175 digits)
searching for 15-digit factors
commencing number field sieve (175-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 30
skew 1.00, size 1.029e-13, alpha 1.462, combined = 2.044e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1329818 cycles
cycles contain 4540466 unique relations
read 4540466 relations
multiplying 4540466 relations
multiply complete, coefficients have about 123.25 million bits
initial square root is modulo 702066451
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 1329956 cycles
cycles contain 4542268 unique relations
read 4542268 relations
multiplying 4542268 relations
multiply complete, coefficients have about 123.30 million bits
initial square root is modulo 707935411
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 3
read 1328911 cycles
cycles contain 4542928 unique relations
read 4542928 relations
multiplying 4542928 relations
multiply complete, coefficients have about 123.32 million bits
initial square root is modulo 710014391
GCD is N, no factor found
reading relations for dependency 4
read 1329564 cycles
cycles contain 4541530 unique relations
read 4541530 relations
multiplying 4541530 relations
multiply complete, coefficients have about 123.27 million bits
initial square root is modulo 705004171
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 5
read 1328532 cycles
cycles contain 4540586 unique relations
read 4540586 relations
multiplying 4540586 relations
multiply complete, coefficients have about 123.26 million bits
initial square root is modulo 702906221
found factor: 44872684733249019767457114203614686817489313911832356356899274619
reading relations for dependency 6
read 1329569 cycles
cycles contain 4543032 unique relations
read 4543032 relations
multiplying 4543032 relations
multiply complete, coefficients have about 123.32 million bits
initial square root is modulo 710607811
sqrtTime: 1399
p53 factor: 31773773717937730708136347678564195626607648185450043
p57 factor: 798258493834142218816022485265218572989636991735050515751
p65 factor: 44872684733249019767457114203614686817489313911832356356899274619
elapsed time 00:23:20
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 21, 2010 05:34:46 UTC 2010 年 10 月 21 日 (木) 14 時 34 分 46 秒 (日本時間)
403e61610110Ignacio SantosOctober 21, 2010 05:34:46 UTC 2010 年 10 月 21 日 (木) 14 時 34 分 46 秒 (日本時間)
500Dmitry DomanovJanuary 27, 2012 06:37:30 UTC 2012 年 1 月 27 日 (金) 15 時 37 分 30 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 07:16:11 UTC 2012 年 1 月 31 日 (火) 16 時 16 分 11 秒 (日本時間)
4511e6282 / 340732Ignacio SantosOctober 21, 2010 05:34:46 UTC 2010 年 10 月 21 日 (木) 14 時 34 分 46 秒 (日本時間)
250Dmitry DomanovFebruary 1, 2012 09:36:19 UTC 2012 年 2 月 1 日 (水) 18 時 36 分 19 秒 (日本時間)
5043e6200 / 7427Dmitry DomanovMarch 19, 2012 20:41:52 UTC 2012 年 3 月 20 日 (火) 5 時 41 分 52 秒 (日本時間)

3×10197-7

c127

name 名前Erik Branger
date 日付March 16, 2009 19:49:56 UTC 2009 年 3 月 17 日 (火) 4 時 49 分 56 秒 (日本時間)
composite number 合成数
4330976988588861597642516703502643572946498675819236690760299247042532595697073682060977818571773462597312462576121850836567441<127>
prime factors 素因数
18169475745070368235047593594222882815709<41>
238365545013807894815720084404080433701714960158653579266908647472548106703098919265349<87>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Input number is 4330976988588861597642516703502643572946498675819236690760299247042532595697073682060977818571773462597312462576121850836567441 (127 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3289226908
Step 1 took 46469ms
Step 2 took 20219ms
********** Factor found in step 2: 18169475745070368235047593594222882815709
Found probable prime factor of 41 digits: 18169475745070368235047593594222882815709
Probable prime cofactor 238365545013807894815720084404080433701714960158653579266908647472548106703098919265349 has 87 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)

3×10198-7

c153

name 名前Dmitry Domanov
date 日付February 1, 2012 14:52:29 UTC 2012 年 2 月 1 日 (水) 23 時 52 分 29 秒 (日本時間)
composite number 合成数
663934674734524533577996759184873846633846078885387284258843492877172942404263750983806183796095674083008373566479125782070300190573884171493939694285837<153>
prime factors 素因数
8802500075758542671486418965401185017<37>
composite cofactor 合成数の残り
75425693725689735522165915798403430274957507926625785319459886797116726939260641915032896298520047092212652522529461<116>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4094058691
Step 1 took 82316ms
Step 2 took 30082ms
********** Factor found in step 2: 8802500075758542671486418965401185017
Found probable prime factor of 37 digits: 8802500075758542671486418965401185017
Composite cofactor 75425693725689735522165915798403430274957507926625785319459886797116726939260641915032896298520047092212652522529461 has 116 digits

c116

name 名前Warut Roonguthai
date 日付February 2, 2012 14:20:15 UTC 2012 年 2 月 2 日 (木) 23 時 20 分 15 秒 (日本時間)
composite number 合成数
75425693725689735522165915798403430274957507926625785319459886797116726939260641915032896298520047092212652522529461<116>
prime factors 素因数
212384281450897086772265884641508716928053917665171493<54>
355137834167487756278128779591238230732495635751474304374346577<63>
factorization results 素因数分解の結果
N = 75425693725689735522165915798403430274957507926625785319459886797116726939260641915032896298520047092212652522529461 (116 digits)
Divisors found:
r1=212384281450897086772265884641508716928053917665171493 (pp54)
r2=355137834167487756278128779591238230732495635751474304374346577 (pp63)
Version: Msieve v. 1.48
Total time: 9.97 hours.
Factorization parameters were as follows:
n: 75425693725689735522165915798403430274957507926625785319459886797116726939260641915032896298520047092212652522529461
Y0: -79335308079406351586032
Y1: 595883477123
c0: -602030325658187064471766383177
c1: 2520786444534513593088264
c2: 28785463669686581159
c3: -88616123082592
c4: -180189094
c5: 24
skew: 441109.13 
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9624389
Relations: 1132764 relations
Pruned matrix : 618170 x 618399
Polynomial selection time: 0.00 hours.
Total sieving time: 9.46 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.43 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 9.97 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 KamadaAugust 26, 2007 09:00:00 UTC 2007 年 8 月 26 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 21, 2010 05:35:20 UTC 2010 年 10 月 21 日 (木) 14 時 35 分 20 秒 (日本時間)
403e61610110Ignacio SantosOctober 21, 2010 05:35:20 UTC 2010 年 10 月 21 日 (木) 14 時 35 分 20 秒 (日本時間)
500Dmitry DomanovJanuary 27, 2012 06:37:41 UTC 2012 年 1 月 27 日 (金) 15 時 37 分 41 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 08:58:37 UTC 2012 年 1 月 31 日 (火) 17 時 58 分 37 秒 (日本時間)
4511e6282 / 410932Ignacio SantosOctober 21, 2010 05:35:20 UTC 2010 年 10 月 21 日 (木) 14 時 35 分 20 秒 (日本時間)
250Dmitry DomanovFebruary 1, 2012 09:36:29 UTC 2012 年 2 月 1 日 (水) 18 時 36 分 29 秒 (日本時間)

3×10201-7

c191

name 名前Bob Backstrom
date 日付May 18, 2021 23:57:43 UTC 2021 年 5 月 19 日 (水) 8 時 57 分 43 秒 (日本時間)
composite number 合成数
24671333158636319516876476348237369492019236881661891739415249273256376726439974968932816773169180977573516716909517424591051007295861831444208276977470838378345913175482377677958902831698587<191>
prime factors 素因数
4672031552369986670626809499465978130707974161331152603398439546146311011537<76>
5280643523505586077182301594463960334870081963354059682042209561470317470642890567353455003969910783729116519924651<115>
factorization results 素因数分解の結果
Number: n
N=24671333158636319516876476348237369492019236881661891739415249273256376726439974968932816773169180977573516716909517424591051007295861831444208276977470838378345913175482377677958902831698587
  ( 191 digits)
SNFS difficulty: 201 digits.
Divisors found:

Wed May 19 09:50:53 2021  p76 factor: 4672031552369986670626809499465978130707974161331152603398439546146311011537
Wed May 19 09:50:53 2021  p115 factor: 5280643523505586077182301594463960334870081963354059682042209561470317470642890567353455003969910783729116519924651
Wed May 19 09:50:53 2021  elapsed time 01:36:47 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 3x10^201-7 = 29(200)3
#
n: 24671333158636319516876476348237369492019236881661891739415249273256376726439974968932816773169180977573516716909517424591051007295861831444208276977470838378345913175482377677958902831698587
m: 10000000000000000000000000000000000000000
deg: 5
c5: 30
c0: -7
skew: 0.75
# Murphy_E = 1.412e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7795333 hash collisions in 56869035 relations (51281510 unique)
Msieve: matrix is 2007424 x 2007650 (699.1 MB)

Sieving start time : 2021/05/18 22:57:43
Sieving end time  : 2021/05/19 08:13:09

Total sieving time: 9hrs 15min 26secs.

Total relation processing time: 1hrs 17min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 42sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118236] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.153532] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.152048] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:37:52 UTC 2012 年 1 月 27 日 (金) 15 時 37 分 52 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 08:58:50 UTC 2012 年 1 月 31 日 (火) 17 時 58 分 50 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:36:37 UTC 2012 年 2 月 1 日 (水) 18 時 36 分 37 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 19, 2012 20:46:44 UTC 2012 年 3 月 20 日 (火) 5 時 46 分 44 秒 (日本時間)

3×10204-7

c193

name 名前Bob Backstrom
date 日付July 5, 2021 00:42:22 UTC 2021 年 7 月 5 日 (月) 9 時 42 分 22 秒 (日本時間)
composite number 合成数
1251509287395933762454688244747339128985240673029796643238630359255346418449571917797814257017839725235601103745104164163331868503813717799325497784591659153073320732849844419515409505824484077<193>
prime factors 素因数
10749000549217158778513557457749027231026741194542467859206207<62>
47652203660338283574952366513377670572952146031058242436206519<62>
2443334923216200363548993610781570795657500575563515103027479905398469<70>
factorization results 素因数分解の結果
Number: n
N=1251509287395933762454688244747339128985240673029796643238630359255346418449571917797814257017839725235601103745104164163331868503813717799325497784591659153073320732849844419515409505824484077
  ( 193 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Jul  5 10:28:43 2021  found factor: 2443334923216200363548993610781570795657500575563515103027479905398469
Mon Jul  5 10:31:43 2021  p62 factor: 10749000549217158778513557457749027231026741194542467859206207
Mon Jul  5 10:31:43 2021  p62 factor: 47652203660338283574952366513377670572952146031058242436206519
Mon Jul  5 10:31:43 2021  p70 factor: 2443334923216200363548993610781570795657500575563515103027479905398469
Mon Jul  5 10:31:43 2021  elapsed time 02:13:29 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 3x10^204-7 = 29(203)3
#
n: 1251509287395933762454688244747339128985240673029796643238630359255346418449571917797814257017839725235601103745104164163331868503813717799325497784591659153073320732849844419515409505824484077
m: 50000000000000000000000000000000000000000
deg: 5
c5: 48
c0: -35
skew: 0.94
# Murphy_E = 9.24e-12
type: snfs
lss: 1
rlim: 18400000
alim: 18400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18400000/18400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9625980 hash collisions in 61714067 relations (54233904 unique)
Msieve: matrix is 2359446 x 2359671 (816.1 MB)

Sieving start time : 2021/07/04 18:45:53
Sieving end time  : 2021/07/05 08:16:52

Total sieving time: 13hrs 30min 59secs.

Total relation processing time: 1hrs 52min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 2sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18400000,18400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:38:19 UTC 2012 年 1 月 27 日 (金) 15 時 38 分 19 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 08:59:06 UTC 2012 年 1 月 31 日 (火) 17 時 59 分 6 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:36:50 UTC 2012 年 2 月 1 日 (水) 18 時 36 分 50 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 19, 2012 20:46:59 UTC 2012 年 3 月 20 日 (火) 5 時 46 分 59 秒 (日本時間)

3×10205-7

c143

name 名前Dmitry Domanov
date 日付February 1, 2012 07:07:46 UTC 2012 年 2 月 1 日 (水) 16 時 7 分 46 秒 (日本時間)
composite number 合成数
63651831016426272297572063992318389116739660814096755220697348541326877000270632429296088709228562969500369486989189308242426229553260689457987<143>
prime factors 素因数
1910164605056801962748138593116089338303<40>
33322694205473186360630508231473886318964276051293618476244343062950816827174736558690905758801698242429<104>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3923420883
Step 1 took 80341ms
Step 2 took 28712ms
********** Factor found in step 2: 1910164605056801962748138593116089338303
Found probable prime factor of 40 digits: 1910164605056801962748138593116089338303

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500 / 2318500Dmitry DomanovJanuary 27, 2012 06:38:30 UTC 2012 年 1 月 27 日 (金) 15 時 38 分 30 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 08:59:17 UTC 2012 年 1 月 31 日 (火) 17 時 59 分 17 秒 (日本時間)

3×10206-7

c194

name 名前Warut Roonguthai
date 日付January 24, 2012 15:56:32 UTC 2012 年 1 月 25 日 (水) 0 時 56 分 32 秒 (日本時間)
composite number 合成数
27741135243565367389751979120780679257371961091517607549005062595232254652490807105230361084550150753080004026817967489662465012393652459067146649344657730627957520836669570946519171639153970371<194>
prime factors 素因数
34020442763937085042613013879977609<35>
composite cofactor 合成数の残り
815425461569006575787517186164306597523762265476349822981899892030646107278892117421937041188262980841281690293089015124988170443053989129477665527149840586219<159>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=719488498
Step 1 took 10077ms
Step 2 took 5866ms
********** Factor found in step 2: 34020442763937085042613013879977609
Found probable prime factor of 35 digits: 34020442763937085042613013879977609
Composite cofactor 815425461569006575787517186164306597523762265476349822981899892030646107278892117421937041188262980841281690293089015124988170443053989129477665527149840586219 has 159 digits
software ソフトウェア
GMP-ECM 6.3

c159

name 名前Dmitry Domanov
date 日付January 27, 2012 07:05:34 UTC 2012 年 1 月 27 日 (金) 16 時 5 分 34 秒 (日本時間)
composite number 合成数
815425461569006575787517186164306597523762265476349822981899892030646107278892117421937041188262980841281690293089015124988170443053989129477665527149840586219<159>
prime factors 素因数
140801971426578408284257519554963371219<39>
composite cofactor 合成数の残り
5791292929404845164093074985790966132973471540472310566129332673530798519731404439652107525854130492827543286329844485001<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2209714618
Step 1 took 27126ms
Step 2 took 9877ms
********** Factor found in step 2: 140801971426578408284257519554963371219
Found probable prime factor of 39 digits: 140801971426578408284257519554963371219

c121

name 名前Warut Roonguthai
date 日付January 28, 2012 13:20:28 UTC 2012 年 1 月 28 日 (土) 22 時 20 分 28 秒 (日本時間)
composite number 合成数
5791292929404845164093074985790966132973471540472310566129332673530798519731404439652107525854130492827543286329844485001<121>
prime factors 素因数
3720062413835938154892961663649333092219<40>
1556773055168491112293724763683697991118982438007128124441991213392696189274386379<82>
factorization results 素因数分解の結果
N = 5791292929404845164093074985790966132973471540472310566129332673530798519731404439652107525854130492827543286329844485001 (121 digits)
Divisors found:
r1=3720062413835938154892961663649333092219 (pp40)
r2=1556773055168491112293724763683697991118982438007128124441991213392696189274386379 (pp82)
Version: Msieve v. 1.48
Total time: 15.61 hours.
Factorization parameters were as follows:
n: 5791292929404845164093074985790966132973471540472310566129332673530798519731404439652107525854130492827543286329844485001
Y0: -292604780293505615123040
Y1: 9788584470031
c0: 56223354959724891086651510951
c1: -2752450831067495130224800
c2: -76842345774414870966
c3: 124855117099396
c4: 870428671
c5: 2700
skew: 167049.44 
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10577628
Relations: 1339362 relations
Pruned matrix : 764186 x 764411
Polynomial selection time: 0.00 hours.
Total sieving time: 14.80 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.71 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 15.61 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
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e6500 / 2318Dmitry DomanovJanuary 27, 2012 06:38:43 UTC 2012 年 1 月 27 日 (金) 15 時 38 分 43 秒 (日本時間)

3×10207-7

c204

name 名前Warut Roonguthai
date 日付January 24, 2012 16:00:21 UTC 2012 年 1 月 25 日 (水) 1 時 0 分 21 秒 (日本時間)
composite number 合成数
700443614289049731496614522530936259631099696474433808078449684800373569927620826523464861078683166005136586504786364697641839831893532570628064440812514592575297688536072846135886061172075647910343217371<204>
prime factors 素因数
9176425667667057667376017012781<31>
composite cofactor 合成数の残り
76330767518451986798699896620642609907033541142209241008559334631604494380120898044100935293019833994137547168800074791371324296185047184739934177802725003143776336307620391<173>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2814858925
Step 1 took 8486ms
Step 2 took 5960ms
********** Factor found in step 2: 9176425667667057667376017012781
Found probable prime factor of 31 digits: 9176425667667057667376017012781
Composite cofactor 76330767518451986798699896620642609907033541142209241008559334631604494380120898044100935293019833994137547168800074791371324296185047184739934177802725003143776336307620391 has 173 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:38:54 UTC 2012 年 1 月 27 日 (金) 15 時 38 分 54 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 08:59:27 UTC 2012 年 1 月 31 日 (火) 17 時 59 分 27 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:36:57 UTC 2012 年 2 月 1 日 (水) 18 時 36 分 57 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 6, 2012 06:41:26 UTC 2012 年 3 月 6 日 (火) 15 時 41 分 26 秒 (日本時間)

3×10208-7

c202

name 名前Bob Backstrom
date 日付September 13, 2020 20:59:25 UTC 2020 年 9 月 14 日 (月) 5 時 59 分 25 秒 (日本時間)
composite number 合成数
2484583367254797916825921558887234616474328166587008163264292006788875592687009827935148067503479866054454282382341105303351479349923669457985653849998579646508386007190881181508836130877582175731434427<202>
prime factors 素因数
1455911428278081021532901873885292547366838901791<49>
553726652395484348516863240141085539457939847503285782178732493733709998043<75>
3081932982863625293955267093932739087696663713002317182189538458288072588386879<79>
factorization results 素因数分解の結果
Number: n
N=2484583367254797916825921558887234616474328166587008163264292006788875592687009827935148067503479866054454282382341105303351479349923669457985653849998579646508386007190881181508836130877582175731434427  ( 202 digits)
SNFS difficulty: 208 digits.
Divisors found:

Mon Sep 14 06:07:34 2020  found factor: 3081932982863625293955267093932739087696663713002317182189538458288072588386879
Mon Sep 14 06:11:17 2020  found factor: 3081932982863625293955267093932739087696663713002317182189538458288072588386879
Mon Sep 14 06:15:01 2020  p49 factor: 1455911428278081021532901873885292547366838901791
Mon Sep 14 06:15:01 2020  p75 factor: 553726652395484348516863240141085539457939847503285782178732493733709998043
Mon Sep 14 06:15:01 2020  p79 factor: 3081932982863625293955267093932739087696663713002317182189538458288072588386879
Mon Sep 14 06:15:01 2020  elapsed time 02:47:15 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# N = 3x10^208-7 = 29(207)3
#
n: 2484583367254797916825921558887234616474328166587008163264292006788875592687009827935148067503479866054454282382341105303351479349923669457985653849998579646508386007190881181508836130877582175731434427
m: 100000000000000000000000000000000000000000
deg: 5
c5: 3000
c0: -7
skew: 0.30
# Murphy_E = 7.58e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 36100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8771257 hash collisions in 60991240 relations (54551140 unique)
Msieve: matrix is 2491245 x 2491470 (872.2 MB)

Sieving start time: 2020/09/13 11:55:18
Sieving end time  : 2020/09/14 03:26:49

Total sieving time: 15hrs 31min 31secs.

Total relation processing time: 2hrs 17min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 10sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.150649] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283124K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2724K bss, 420336K reserved, 0K cma-reserved)
[    0.184730] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.80 BogoMIPS (lpj=11977604)
[    0.182223] smpboot: Total of 16 processors activated (95820.83 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:39:03 UTC 2012 年 1 月 27 日 (金) 15 時 39 分 3 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 08:59:36 UTC 2012 年 1 月 31 日 (火) 17 時 59 分 36 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:37:06 UTC 2012 年 2 月 1 日 (水) 18 時 37 分 6 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 22, 2012 19:54:25 UTC 2012 年 3 月 23 日 (金) 4 時 54 分 25 秒 (日本時間)

3×10209-7

c182

name 名前Dmitry Domanov
date 日付March 13, 2012 17:01:15 UTC 2012 年 3 月 14 日 (水) 2 時 1 分 15 秒 (日本時間)
composite number 合成数
11679332675909725397029853829629646140700004497521089843042443066169118404079388730530097422844065585199324501431462107225964165483264741136832934839476325588665208581132529934636547<182>
prime factors 素因数
13551971611337418206009782826461843803479<41>
composite cofactor 合成数の残り
861817970909777780479626287156220940818844167908631741547323891899345053086727570276013410001362158261439113559335728575785676525615590647093<141>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4097466950
Step 1 took 465993ms
Step 2 took 115341ms
********** Factor found in step 2: 13551971611337418206009782826461843803479
Found probable prime factor of 41 digits: 13551971611337418206009782826461843803479

c141

name 名前Erik Branger
date 日付October 12, 2016 18:01:24 UTC 2016 年 10 月 13 日 (木) 3 時 1 分 24 秒 (日本時間)
composite number 合成数
861817970909777780479626287156220940818844167908631741547323891899345053086727570276013410001362158261439113559335728575785676525615590647093<141>
prime factors 素因数
446743347437958316597541882113096328269014841349869967<54>
1929112041292261523812283490804809257532580123845026970901914305722645611322339668669179<88>
factorization results 素因数分解の結果
Number: 29993_209
N = 861817970909777780479626287156220940818844167908631741547323891899345053086727570276013410001362158261439113559335728575785676525615590647093 (141 digits)
Divisors found:
r1=446743347437958316597541882113096328269014841349869967 (pp54)
r2=1929112041292261523812283490804809257532580123845026970901914305722645611322339668669179 (pp88)
Version: Msieve v. 1.51 (SVN 845)
Total time: 363.01 hours.
Factorization parameters were as follows:
# Murphy_E = 1.771e-11, selected by Erik Branger
# expecting poly E from 1.80e-011 to > 2.07e-011
n: 861817970909777780479626287156220940818844167908631741547323891899345053086727570276013410001362158261439113559335728575785676525615590647093
Y0: -2343975237592565899474621227
Y1: 1589477204309791
c0: 30712126131215020661978996179564208
c1: 31009209805325354635677650646
c2: -172128113554314341246887
c3: -42078699771369666
c4: 130725039794
c5: 12180
skew: 1258624.02
type: gnfs
# selected mechanically
rlim: 19300000
alim: 19300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23044040
Relations: 4040414 relations
Pruned matrix : 2494660 x 2494886
Polynomial selection time: 0.00 hours.
Total sieving time: 356.59 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 5.49 hours.
time per square root: 0.71 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19300000,19300000,28,28,56,56,2.6,2.6,100000
total time: 363.01 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:39:13 UTC 2012 年 1 月 27 日 (金) 15 時 39 分 13 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 08:59:45 UTC 2012 年 1 月 31 日 (火) 17 時 59 分 45 秒 (日本時間)
4511e6635250Dmitry DomanovFebruary 1, 2012 09:37:18 UTC 2012 年 2 月 1 日 (水) 18 時 37 分 18 秒 (日本時間)
385Wataru SakaiJune 29, 2012 08:20:22 UTC 2012 年 6 月 29 日 (金) 17 時 20 分 22 秒 (日本時間)
5043e61000 / 7354200Dmitry DomanovMarch 11, 2012 18:47:17 UTC 2012 年 3 月 12 日 (月) 3 時 47 分 17 秒 (日本時間)
800Dmitry DomanovApril 19, 2012 21:29:41 UTC 2012 年 4 月 20 日 (金) 6 時 29 分 41 秒 (日本時間)

3×10212-7

c213

name 名前Warut Roonguthai
date 日付January 24, 2012 17:10:38 UTC 2012 年 1 月 25 日 (水) 2 時 10 分 38 秒 (日本時間)
composite number 合成数
299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<213>
prime factors 素因数
3282134877039854878814019195676899277<37>
91403921910292996094060030519972426291085521451904777869899345682975027290828057305767709673906818534726336097672280874573526027190457557009438433080073254715512952353747084509<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1434698600
Step 1 took 11903ms
Step 2 took 6380ms
********** Factor found in step 2: 3282134877039854878814019195676899277
Found probable prime factor of 37 digits: 3282134877039854878814019195676899277
Probable prime cofactor 91403921910292996094060030519972426291085521451904777869899345682975027290828057305767709673906818534726336097672280874573526027190457557009438433080073254715512952353747084509 has 176 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)

3×10213-7

c180

composite cofactor 合成数の残り
499402407986336496549902704776879520789888286726894932753227849004497760800962898262973565656757876826626920019873340399204460968244687532282597114466694406114261120364951783174187<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:39:24 UTC 2012 年 1 月 27 日 (金) 15 時 39 分 24 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 08:59:56 UTC 2012 年 1 月 31 日 (火) 17 時 59 分 56 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:37:27 UTC 2012 年 2 月 1 日 (水) 18 時 37 分 27 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 11, 2012 18:47:43 UTC 2012 年 3 月 12 日 (月) 3 時 47 分 43 秒 (日本時間)

3×10214-7

c182

composite cofactor 合成数の残り
86320714990293800010749818046340807763651604552110172894994317936714893773925567686362223239676278929994923373190030160159267304804903896027114964773493364197867727893371286698389113<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:39:33 UTC 2012 年 1 月 27 日 (金) 15 時 39 分 33 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:00:05 UTC 2012 年 1 月 31 日 (火) 18 時 0 分 5 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:37:35 UTC 2012 年 2 月 1 日 (水) 18 時 37 分 35 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 11, 2012 18:47:55 UTC 2012 年 3 月 12 日 (月) 3 時 47 分 55 秒 (日本時間)

3×10215-7

c175

composite cofactor 合成数の残り
6549956811177379504493563411098892128610069016102969764609229823054273644576303133258597325393112199860064679160260118721576170215024978928696358373424668327507909719545125931<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:39:42 UTC 2012 年 1 月 27 日 (金) 15 時 39 分 42 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:00:13 UTC 2012 年 1 月 31 日 (火) 18 時 0 分 13 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:37:42 UTC 2012 年 2 月 1 日 (水) 18 時 37 分 42 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 11, 2012 18:48:10 UTC 2012 年 3 月 12 日 (月) 3 時 48 分 10 秒 (日本時間)

3×10217-7

c207

name 名前Dmitry Domanov
date 日付January 31, 2012 21:53:37 UTC 2012 年 2 月 1 日 (水) 6 時 53 分 37 秒 (日本時間)
composite number 合成数
278982352743822877291858111659095085504706176598812296347182893734198630004166943377599341017927168285054108599555920349040379590216399381753676755233075073294712635695049897736544493253474526119292543005133<207>
prime factors 素因数
33473290350093451584824251859118439513363<41>
composite cofactor 合成数の残り
8334476528180445435404264660889521962100082600513253900453235757768392141658209378419263021820580103343742098520650898973160515979443677290611181014944273782678245791<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=350618792
Step 1 took 28756ms
Step 2 took 11061ms
********** Factor found in step 2: 33473290350093451584824251859118439513363
Found probable prime factor of 41 digits: 33473290350093451584824251859118439513363

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:39:49 UTC 2012 年 1 月 27 日 (金) 15 時 39 分 49 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:00:22 UTC 2012 年 1 月 31 日 (火) 18 時 0 分 22 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovJanuary 31, 2012 21:53:10 UTC 2012 年 2 月 1 日 (水) 6 時 53 分 10 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 6, 2012 06:41:55 UTC 2012 年 3 月 6 日 (火) 15 時 41 分 55 秒 (日本時間)

3×10219-7

c214

name 名前Dmitry Domanov
date 日付January 27, 2012 07:00:55 UTC 2012 年 1 月 27 日 (金) 16 時 0 分 55 秒 (日本時間)
composite number 合成数
1984254280863256439070495924672416153681816889046453376969289696495079380092505934573845015189466520008228041084646303367345656434308285650600600699912626669832654608132929162783591275366210662985654502967452277031<214>
prime factors 素因数
28701749099324614652788368428060660519<38>
composite cofactor 合成数の残り
69133566529224110488263392335683502604334268185613089724718526830423190286260110253591808915381897171220188586111462941633538804672551185031388537734008970349564511241544616449<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2119486916
Step 1 took 40737ms
Step 2 took 13347ms
********** Factor found in step 2: 28701749099324614652788368428060660519
Found probable prime factor of 38 digits: 28701749099324614652788368428060660519

c176

name 名前Dmitry Domanov
date 日付March 13, 2012 09:00:23 UTC 2012 年 3 月 13 日 (火) 18 時 0 分 23 秒 (日本時間)
composite number 合成数
69133566529224110488263392335683502604334268185613089724718526830423190286260110253591808915381897171220188586111462941633538804672551185031388537734008970349564511241544616449<176>
prime factors 素因数
441426639483080898840742904280498164833<39>
composite cofactor 合成数の残り
156613942942321852398884627426526835227207879526045138563812089364669936976423226485856159872654993899644425160446897990796921290824309153<138>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3258675652
Step 1 took 464179ms
Step 2 took 115664ms
********** Factor found in step 2: 441426639483080898840742904280498164833
Found probable prime factor of 39 digits: 441426639483080898840742904280498164833

c138

name 名前Erik Branger
date 日付September 19, 2012 16:27:16 UTC 2012 年 9 月 20 日 (木) 1 時 27 分 16 秒 (日本時間)
composite number 合成数
156613942942321852398884627426526835227207879526045138563812089364669936976423226485856159872654993899644425160446897990796921290824309153<138>
prime factors 素因数
113745001633004253174470445372996446299551901489<48>
1376886374731729274464750179379578942804011688188225140564924908333408151197752361104350577<91>
factorization results 素因数分解の結果
Number: 29993_219
N = 156613942942321852398884627426526835227207879526045138563812089364669936976423226485856159872654993899644425160446897990796921290824309153 (138 digits)
Divisors found:
r1=113745001633004253174470445372996446299551901489 (pp48)
r2=1376886374731729274464750179379578942804011688188225140564924908333408151197752361104350577 (pp91)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 269.67 hours.
Factorization parameters were as follows:
# Murphy_E = 3.221e-11, selected by Erik Branger
n: 156613942942321852398884627426526835227207879526045138563812089364669936976423226485856159872654993899644425160446897990796921290824309153
Y0: -497091343193753694451487739
Y1: 32212510570471
c0: -5458855994578156867962472920487840
c1: 14513923782612968357716330164
c2: 74583954438743541373868
c3: -33404337704866791
c4: -50980378222
c5: 5160
skew: 1231146.16
type: gnfs
# selected mechanically
rlim: 15300000
alim: 15300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7650000, 19350000)
Relations: 23001891
Relations in full relation-set: 3667042 relations
Pruned matrix : 2255538 x 2255765
Polynomial selection time: 0.00 hours.
Total sieving time: 265.12 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.28 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15300000,15300000,28,28,55,55,2.6,2.6,100000
total time: 269.67 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:39:58 UTC 2012 年 1 月 27 日 (金) 15 時 39 分 58 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:00:35 UTC 2012 年 1 月 31 日 (火) 18 時 0 分 35 秒 (日本時間)
4511e64250250Dmitry DomanovFebruary 1, 2012 09:37:53 UTC 2012 年 2 月 1 日 (水) 18 時 37 分 53 秒 (日本時間)
4000Wataru SakaiApril 4, 2012 09:07:32 UTC 2012 年 4 月 4 日 (水) 18 時 7 分 32 秒 (日本時間)
5043e6200 / 6542Dmitry DomanovMarch 11, 2012 18:48:30 UTC 2012 年 3 月 12 日 (月) 3 時 48 分 30 秒 (日本時間)

3×10220-7

c210

name 名前Dmitry Domanov
date 日付January 27, 2012 07:08:18 UTC 2012 年 1 月 27 日 (金) 16 時 8 分 18 秒 (日本時間)
composite number 合成数
145753069522973896147185318901318795415917161278733571660967136117751149784789259635536486584603454528121004764539497411430385004337401731797550859048592746817114104930087394790998727298738223294680871816746209<210>
prime factors 素因数
16604002291196068357904972331980013317<38>
composite cofactor 合成数の残り
8778188955096475242553312900814591754941201338011240283950666119381325031311357544255986816762643558596600338546567682168768119107365551970117312203225550089175937535282477<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1027007255
Step 1 took 37040ms
Step 2 took 13139ms
********** Factor found in step 2: 16604002291196068357904972331980013317
Found probable prime factor of 38 digits: 16604002291196068357904972331980013317

c172

name 名前Erik Branger
date 日付December 1, 2018 08:54:07 UTC 2018 年 12 月 1 日 (土) 17 時 54 分 7 秒 (日本時間)
composite number 合成数
8778188955096475242553312900814591754941201338011240283950666119381325031311357544255986816762643558596600338546567682168768119107365551970117312203225550089175937535282477<172>
prime factors 素因数
8073567235996987471144993505887598059768115123573246480239<58>
1087275141025375451556960700529749500179053080567070581249811561874344518120092962164374114419186704875289036119843<115>
factorization results 素因数分解の結果
Number: 29993_220
N = 8778188955096475242553312900814591754941201338011240283950666119381325031311357544255986816762643558596600338546567682168768119107365551970117312203225550089175937535282477 (172 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=8073567235996987471144993505887598059768115123573246480239 (pp58)
r2=1087275141025375451556960700529749500179053080567070581249811561874344518120092962164374114419186704875289036119843 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 70.87 hours.
Factorization parameters were as follows:
n: 8778188955096475242553312900814591754941201338011240283950666119381325031311357544255986816762643558596600338546567682168768119107365551970117312203225550089175937535282477
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7486024 relations
Pruned matrix : 6606206 x 6606431
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 33.77 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 36.32 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 70.87 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_Factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:40:06 UTC 2012 年 1 月 27 日 (金) 15 時 40 分 6 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:10:23 UTC 2012 年 1 月 31 日 (火) 18 時 10 分 23 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:38:00 UTC 2012 年 2 月 1 日 (水) 18 時 38 分 0 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 6, 2012 06:42:13 UTC 2012 年 3 月 6 日 (火) 15 時 42 分 13 秒 (日本時間)

3×10221-7

c202

name 名前Dmitry Domanov
date 日付January 31, 2012 09:15:26 UTC 2012 年 1 月 31 日 (火) 18 時 15 分 26 秒 (日本時間)
composite number 合成数
8167282908288251037863715380834985463953023839938072358688967443974043477529224913694786787119705410173560199386443474012655101319290166192788520986291255787303057937952707992556959938812130438808231261<202>
prime factors 素因数
24660379901145229377894032265860448289<38>
331190473992209746021357413907924708648088398186690935658134012622838434937036869482396079471853987826679800104756039702063432146623704454073062870420122129908245949<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4053945542
Step 1 took 37163ms
Step 2 took 13069ms
********** Factor found in step 2: 24660379901145229377894032265860448289
Found probable prime factor of 38 digits: 24660379901145229377894032265860448289

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500 / 2318500Dmitry DomanovJanuary 27, 2012 06:40:14 UTC 2012 年 1 月 27 日 (金) 15 時 40 分 14 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:10:31 UTC 2012 年 1 月 31 日 (火) 18 時 10 分 31 秒 (日本時間)

3×10223-7

c188

composite cofactor 合成数の残り
46903432303585223533993368870949105520672805427223553853690911702934772407093140428301184256777588289271298043617345413550104083061858574424715417402425758336569687310190461953556254508329<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:40:22 UTC 2012 年 1 月 27 日 (金) 15 時 40 分 22 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:10:39 UTC 2012 年 1 月 31 日 (火) 18 時 10 分 39 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:38:09 UTC 2012 年 2 月 1 日 (水) 18 時 38 分 9 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 11, 2012 18:48:49 UTC 2012 年 3 月 12 日 (月) 3 時 48 分 49 秒 (日本時間)

3×10224-7

c217

name 名前Dmitry Domanov
date 日付January 27, 2012 07:08:55 UTC 2012 年 1 月 27 日 (金) 16 時 8 分 55 秒 (日本時間)
composite number 合成数
1823847938939662349936755336945358798522418103558414265623037368631956647718122744686633955305402516643873937648852209631598705401119576352709867492158077010605256279908180442541746830609763980884201116028360519316869<217>
prime factors 素因数
45954011195115144437690305175741401<35>
composite cofactor 合成数の残り
39688547125860803422629338050241867528730344957795426757011778987213528367608224564259545043972367080182716352551929137259233198870436472173395770976510203725910155629046119012880269<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=785042173
Step 1 took 43378ms
********** Factor found in step 1: 45954011195115144437690305175741401
Found probable prime factor of 35 digits: 45954011195115144437690305175741401

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:40:31 UTC 2012 年 1 月 27 日 (金) 15 時 40 分 31 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:10:46 UTC 2012 年 1 月 31 日 (火) 18 時 10 分 46 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:38:16 UTC 2012 年 2 月 1 日 (水) 18 時 38 分 16 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 11, 2012 18:49:04 UTC 2012 年 3 月 12 日 (月) 3 時 49 分 4 秒 (日本時間)

3×10226-7

c210

composite cofactor 合成数の残り
111850979660133884014053903234277684495183759381308048526255263809359525236178665974946062150219608558928599158457101177681859852757058589659060760700130749150284653034219210109948216536011150354371368047112471<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:52:35 UTC 2012 年 1 月 27 日 (金) 15 時 52 分 35 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:10:57 UTC 2012 年 1 月 31 日 (火) 18 時 10 分 57 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:38:26 UTC 2012 年 2 月 1 日 (水) 18 時 38 分 26 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 22, 2012 19:54:59 UTC 2012 年 3 月 23 日 (金) 4 時 54 分 59 秒 (日本時間)

3×10227-7

c169

composite cofactor 合成数の残り
7199146782293787557878627437360587912942909941983443983394572273520195280425654821471060601854165078105500561478710497418085781729138914326212796868971564723842897110901<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:52:43 UTC 2012 年 1 月 27 日 (金) 15 時 52 分 43 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:11:05 UTC 2012 年 1 月 31 日 (火) 18 時 11 分 5 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:38:34 UTC 2012 年 2 月 1 日 (水) 18 時 38 分 34 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 6, 2012 06:42:37 UTC 2012 年 3 月 6 日 (火) 15 時 42 分 37 秒 (日本時間)

3×10230-7

c214

name 名前Dmitry Domanov
date 日付January 27, 2012 07:03:59 UTC 2012 年 1 月 27 日 (金) 16 時 3 分 59 秒 (日本時間)
composite number 合成数
1115908830974334483798533159261640445879076246817417422088789758584788843077318365326289818969435337030491840902454593182754400484888417558630415287765535618633010401199897538974194793698606819727822233905451128399<214>
prime factors 素因数
925754266077601678423131145817849<33>
1205405010664885266422618638597295738227310639865031095012105197859742854498310930725229058988299889321026189712680131190238473087241773150307106168220149064706202171114267287746951<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2364517864
Step 1 took 42837ms
Step 2 took 14082ms
********** Factor found in step 2: 925754266077601678423131145817849
Found probable prime factor of 33 digits: 925754266077601678423131145817849

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e6500 / 2318Dmitry DomanovJanuary 27, 2012 06:52:51 UTC 2012 年 1 月 27 日 (金) 15 時 52 分 51 秒 (日本時間)

3×10231-7

c227

name 名前Warut Roonguthai
date 日付January 24, 2012 23:43:08 UTC 2012 年 1 月 25 日 (水) 8 時 43 分 8 秒 (日本時間)
composite number 合成数
29538897805259893069189944959187089532399247742735892714723171296068372702119908232490818325932198383237660125441852679670345900493299593347840214255472080818424395191067437303689408335876960644341824125402467482596666043067713<227>
prime factors 素因数
4593015444705181782255967030052753<34>
6431264636680521122701411234500838562852037556353553846684282922035866974209834208951813181991395555534211062754992938311962269114769075488552495516455963490620689107471993202457889789943878321<193>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2850638255
Step 1 took 11591ms
Step 2 took 6630ms
********** Factor found in step 2: 4593015444705181782255967030052753
Found probable prime factor of 34 digits: 4593015444705181782255967030052753
Probable prime cofactor 6431264636680521122701411234500838562852037556353553846684282922035866974209834208951813181991395555534211062754992938311962269114769075488552495516455963490620689107471993202457889789943878321 has 193 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)

3×10232-7

c231

name 名前matsui
date 日付April 12, 2014 19:42:07 UTC 2014 年 4 月 13 日 (日) 4 時 42 分 7 秒 (日本時間)
composite number 合成数
361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771084337349397590361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771<231>
prime factors 素因数
41672280807063874197742935012787460075470052599<47>
6313792612099629428038285076830565035628798778734915557377664806295499<70>
1373743273191727061873006501827524212705989811345498992733915152201502086641542037698058205937167726229585487787871<115>
factorization results 素因数分解の結果
N=361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771084337349397590361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771
  ( 231 digits)
SNFS difficulty: 233 digits.
Divisors found:
 r1=41672280807063874197742935012787460075470052599 (pp47)
 r2=6313792612099629428038285076830565035628798778734915557377664806295499 (pp70)
 r3=1373743273191727061873006501827524212705989811345498992733915152201502086641542037698058205937167726229585487787871 (pp115)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 217.02 units (timescale=1.786).
Factorization parameters were as follows:
n: 361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771084337349397590361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771
m: 500000000000000000000000000000000000000
deg: 6
c6: 48
c0: -175
skew: 1.24
# Murphy_E = 7.449e-13
type: snfs
lss: 1
rlim: 55000000
alim: 55000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
qintsize: 200000
Factor base limits: 55000000/55000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [27500000, 64700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 8249554 x 8249780
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,233.000,6,0,0,0,0,0,0,0,0,55000000,55000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:53:00 UTC 2012 年 1 月 27 日 (金) 15 時 53 分 0 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:11:12 UTC 2012 年 1 月 31 日 (火) 18 時 11 分 12 秒 (日本時間)
4511e61100250Dmitry DomanovFebruary 1, 2012 09:38:41 UTC 2012 年 2 月 1 日 (水) 18 時 38 分 41 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:12 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 12 秒 (日本時間)
5043e61040 / 7249400Dmitry DomanovFebruary 16, 2012 07:12:01 UTC 2012 年 2 月 16 日 (木) 16 時 12 分 1 秒 (日本時間)
640Dmitry DomanovApril 3, 2012 13:11:19 UTC 2012 年 4 月 3 日 (火) 22 時 11 分 19 秒 (日本時間)

3×10233-7

c216

name 名前Dmitry Domanov
date 日付January 27, 2012 07:04:49 UTC 2012 年 1 月 27 日 (金) 16 時 4 分 49 秒 (日本時間)
composite number 合成数
139033370947269445250587851073467979351577103649243292723597817649390316150774210388617039304551469306893361254502165384559740992427861209610126791181990613934038187323004764070173937726092568534348804676457919840953<216>
prime factors 素因数
7972182533451401935335144380169222572678609<43>
composite cofactor 合成数の残り
17439812794536911038292614662159477623654198889161996634922198813870719538457322453558960233182529750817262611076241888295899499527569395889644111595473981286463831794829417<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1164636875
Step 1 took 42380ms
Step 2 took 14087ms
********** Factor found in step 2: 7972182533451401935335144380169222572678609
Found probable prime factor of 43 digits: 7972182533451401935335144380169222572678609

c173

name 名前Dmitry Domanov
date 日付February 1, 2012 07:14:35 UTC 2012 年 2 月 1 日 (水) 16 時 14 分 35 秒 (日本時間)
composite number 合成数
17439812794536911038292614662159477623654198889161996634922198813870719538457322453558960233182529750817262611076241888295899499527569395889644111595473981286463831794829417<173>
prime factors 素因数
650480769022243902131512412795301725119<39>
26810650867897583524571427389811788172487997471587593554418248438010498250560953024973563600634727716688499909168667118351843810614743<134>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3931956988
Step 1 took 98676ms
Step 2 took 34368ms
********** Factor found in step 2: 650480769022243902131512412795301725119
Found probable prime factor of 39 digits: 650480769022243902131512412795301725119

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:53:09 UTC 2012 年 1 月 27 日 (金) 15 時 53 分 9 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:11:22 UTC 2012 年 1 月 31 日 (火) 18 時 11 分 22 秒 (日本時間)
4511e6250 / 4143Dmitry DomanovFebruary 1, 2012 07:14:12 UTC 2012 年 2 月 1 日 (水) 16 時 14 分 12 秒 (日本時間)

3×10234-7

c208

composite cofactor 合成数の残り
5644267112576188985592388967137531812665020033888980559090334549334713166297922688385943176184991650402512809220970242439056591950861067800213058775906029938578450954011498350523804158174724759119164819804063<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:53:17 UTC 2012 年 1 月 27 日 (金) 15 時 53 分 17 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:11:30 UTC 2012 年 1 月 31 日 (火) 18 時 11 分 30 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:38:50 UTC 2012 年 2 月 1 日 (水) 18 時 38 分 50 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 22, 2012 19:55:21 UTC 2012 年 3 月 23 日 (金) 4 時 55 分 21 秒 (日本時間)

3×10236-7

c219

name 名前Serge Batalov
date 日付January 24, 2012 23:40:23 UTC 2012 年 1 月 25 日 (水) 8 時 40 分 23 秒 (日本時間)
composite number 合成数
156256348365580955094194059250426779311802704965677394081424024657769458775366970869728196222473909091173292886706174267137776698036758320097033882155546404955332795059548417469407359864423291827626238889350796747355123<219>
prime factors 素因数
28045545907756312520697910047953<32>
5571521013693889156792937834676386997553152579864737884280218339010073082767048355649205341457182322750175738049498245072040976313645444378983003192647417256022306151204068657311395093891<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3632593255
Step 1 took 12901ms
Step 2 took 9920ms
********** Factor found in step 2: 28045545907756312520697910047953
Found probable prime factor of 32 digits: 28045545907756312520697910047953
Probable prime cofactor 557152101369... has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)

3×10237-7

c203

composite cofactor 合成数の残り
10954865480653114014875027315105727689031826491077652737527835228965912838853887387902549907421742635369717716574602849476835957869779171829747890999605113689514166665559491327463696504827389328049208701<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:53:25 UTC 2012 年 1 月 27 日 (金) 15 時 53 分 25 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:11:39 UTC 2012 年 1 月 31 日 (火) 18 時 11 分 39 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:38:59 UTC 2012 年 2 月 1 日 (水) 18 時 38 分 59 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 22, 2012 19:55:35 UTC 2012 年 3 月 23 日 (金) 4 時 55 分 35 秒 (日本時間)

3×10238-7

c199

composite cofactor 合成数の残り
2070994139566605854334726674641366549959728174779705474337047343515426530478337783884363157095381576802760969274772489499192487512391673889365728670179168855198300341734520578027451748683898862022013<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:53:33 UTC 2012 年 1 月 27 日 (金) 15 時 53 分 33 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:11:48 UTC 2012 年 1 月 31 日 (火) 18 時 11 分 48 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:39:08 UTC 2012 年 2 月 1 日 (水) 18 時 39 分 8 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 19, 2012 20:47:54 UTC 2012 年 3 月 20 日 (火) 5 時 47 分 54 秒 (日本時間)

3×10239-7

c213

name 名前Dmitry Domanov
date 日付February 1, 2012 08:02:24 UTC 2012 年 2 月 1 日 (水) 17 時 2 分 24 秒 (日本時間)
composite number 合成数
277289590872407094341497964278638664151681726749341466993015376854328213319375827181026452968900182788524001456040372494022526704812306376203847705939851956881926861963405923002903041096566594898775325313815414949<213>
prime factors 素因数
1087834338566305870313819449105543724677<40>
composite cofactor 合成数の残り
254900568075334469074379132513091056564374798390858960851877134943908286798911094607931749535730686685658657656026088878252888338822537348537650887726873486538876951843064737<174>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2789588278
Step 1 took 162409ms
Step 2 took 46261ms
********** Factor found in step 2: 1087834338566305870313819449105543724677
Found probable prime factor of 40 digits: 1087834338566305870313819449105543724677

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:53:42 UTC 2012 年 1 月 27 日 (金) 15 時 53 分 42 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:11:57 UTC 2012 年 1 月 31 日 (火) 18 時 11 分 57 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 08:02:14 UTC 2012 年 2 月 1 日 (水) 17 時 2 分 14 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 6, 2012 06:42:59 UTC 2012 年 3 月 6 日 (火) 15 時 42 分 59 秒 (日本時間)

3×10240-7

c241

name 名前NFS@Home + Dmitry Domanov
date 日付February 9, 2019 17:38:07 UTC 2019 年 2 月 10 日 (日) 2 時 38 分 7 秒 (日本時間)
composite number 合成数
2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<241>
prime factors 素因数
7856821866862916804039555540313662806917046472164148420345240531124117987328685794039870626713419725499375248833309<115>
381833780991377412760166174029188033289030378176211934933834928040857906934570989631774138695471941181805052295602824899732877<126>
factorization results 素因数分解の結果
p115 factor: 7856821866862916804039555540313662806917046472164148420345240531124117987328685794039870626713419725499375248833309
p126 factor: 381833780991377412760166174029188033289030378176211934933834928040857906934570989631774138695471941181805052295602824899732877
software ソフトウェア
ggnfs-lasieve4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:53:52 UTC 2012 年 1 月 27 日 (金) 15 時 53 分 52 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:12:09 UTC 2012 年 1 月 31 日 (火) 18 時 12 分 9 秒 (日本時間)
4511e6250Dmitry DomanovFebruary 1, 2012 09:39:19 UTC 2012 年 2 月 1 日 (水) 18 時 39 分 19 秒 (日本時間)
5043e61110Dmitry DomanovFebruary 16, 2012 07:13:28 UTC 2012 年 2 月 16 日 (木) 16 時 13 分 28 秒 (日本時間)
5511e7176402640yoyo@homeFebruary 12, 2013 14:25:11 UTC 2013 年 2 月 12 日 (火) 23 時 25 分 11 秒 (日本時間)
15000yoyo@homeJanuary 19, 2019 21:47:44 UTC 2019 年 1 月 20 日 (日) 6 時 47 分 44 秒 (日本時間)

3×10241-7

c194

composite cofactor 合成数の残り
27057222922416577022195566912371500732796279565279536037705196987934688016708479216804119857526571105943185223009039528489609101420288946268183266951351667530798618320445924872140100400819018653<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:54:02 UTC 2012 年 1 月 27 日 (金) 15 時 54 分 2 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:12:20 UTC 2012 年 1 月 31 日 (火) 18 時 12 分 20 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:39:27 UTC 2012 年 2 月 1 日 (水) 18 時 39 分 27 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 19, 2012 20:45:55 UTC 2012 年 3 月 20 日 (火) 5 時 45 分 55 秒 (日本時間)

3×10242-7

c234

composite cofactor 合成数の残り
201009483967159598494356685203870716614951404486531548140679593620975550845937592265237604838447830145603102500445214230959828735041829835752343217974484074535514671547223392914485239439076790295005893976637778590911765035715267956701<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:54:11 UTC 2012 年 1 月 27 日 (金) 15 時 54 分 11 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:12:29 UTC 2012 年 1 月 31 日 (火) 18 時 12 分 29 秒 (日本時間)
4511e6250Dmitry DomanovFebruary 1, 2012 09:39:34 UTC 2012 年 2 月 1 日 (水) 18 時 39 分 34 秒 (日本時間)
5043e61110 / 7440200Dmitry DomanovMarch 22, 2012 19:56:02 UTC 2012 年 3 月 23 日 (金) 4 時 56 分 2 秒 (日本時間)
400Dmitry DomanovMay 8, 2012 20:51:06 UTC 2012 年 5 月 9 日 (水) 5 時 51 分 6 秒 (日本時間)
510Dmitry DomanovMay 9, 2012 16:14:13 UTC 2012 年 5 月 10 日 (木) 1 時 14 分 13 秒 (日本時間)

3×10243-7

c216

name 名前Dmitry Domanov
date 日付January 31, 2012 21:54:07 UTC 2012 年 2 月 1 日 (水) 6 時 54 分 7 秒 (日本時間)
composite number 合成数
413881824556167139153161734487884112259218751892873597424363373412511756427285290385917049417357254995991280359337636603999033476592308910618052742576983387092632959317866810082705648775896552785141210760422752346319<216>
prime factors 素因数
50703343536962500546867779788535271979<38>
composite cofactor 合成数の残り
8162811279978986449936185496666462568085060844574156135360054926838434261586662548266181848120955526162930637021030427444698805536798239582979616643804656577458708258389845716461<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3733424734
Step 1 took 22692ms
Step 2 took 9950ms
********** Factor found in step 2: 50703343536962500546867779788535271979
Found probable prime factor of 38 digits: 50703343536962500546867779788535271979

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:54:20 UTC 2012 年 1 月 27 日 (金) 15 時 54 分 20 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:12:37 UTC 2012 年 1 月 31 日 (火) 18 時 12 分 37 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovJanuary 31, 2012 21:53:57 UTC 2012 年 2 月 1 日 (水) 6 時 53 分 57 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 11, 2012 18:49:49 UTC 2012 年 3 月 12 日 (月) 3 時 49 分 49 秒 (日本時間)

3×10245-7

c132

name 名前Erik Branger
date 日付February 13, 2012 07:45:15 UTC 2012 年 2 月 13 日 (月) 16 時 45 分 15 秒 (日本時間)
composite number 合成数
363379713690695044319581799328584248326142536025974560784918665045672199313889425212968172384227054055315018834257494003590257800663<132>
prime factors 素因数
7997849521795649410272834526716328440021703<43>
45434677496796700479371157072170966153744120026625416816996294663260383488250739706078321<89>
factorization results 素因数分解の結果
Number: 29993_245
N = 363379713690695044319581799328584248326142536025974560784918665045672199313889425212968172384227054055315018834257494003590257800663 (132 digits)
Divisors found:
r1=7997849521795649410272834526716328440021703 (pp43)
r2=45434677496796700479371157072170966153744120026625416816996294663260383488250739706078321 (pp89)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 141.18 hours.
Factorization parameters were as follows:
# Murphy_E = 6.705e-11, selected by Erik Branger
n: 363379713690695044319581799328584248326142536025974560784918665045672199313889425212968172384227054055315018834257494003590257800663
Y0: -35383217405755347782335200
Y1: 9533884779347
c0: 114119802138239622379016845070909
c1: 2362459938565462078072075859
c2: -6464199172304942038327
c3: -4948708726459491
c4: 10370190018
c5: 6552
skew: 749224.58
type: gnfs
# selected mechanically
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5400000, 11200000)
Relations: 19579895
Relations in full relation-set: 2790544 relations
Pruned matrix : 1634020 x 1634249
Polynomial selection time: 0.00 hours.
Total sieving time: 138.20 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.60 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10800000,10800000,28,28,54,54,2.6,2.6,100000
total time: 141.18 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:55:06 UTC 2012 年 1 月 27 日 (金) 15 時 55 分 6 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:12:46 UTC 2012 年 1 月 31 日 (火) 18 時 12 分 46 秒 (日本時間)
4511e6250 / 4143Dmitry DomanovFebruary 1, 2012 09:39:43 UTC 2012 年 2 月 1 日 (水) 18 時 39 分 43 秒 (日本時間)

3×10246-7

c198

composite cofactor 合成数の残り
319865584136715785402183782624896018081174359052980731185817284140826598841532554087959113177970119690625750111188683485106024141095558011568741059641490059357258921919282316116951953614442796050851<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:55:19 UTC 2012 年 1 月 27 日 (金) 15 時 55 分 19 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:12:54 UTC 2012 年 1 月 31 日 (火) 18 時 12 分 54 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:40:00 UTC 2012 年 2 月 1 日 (水) 18 時 40 分 0 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 19, 2012 20:46:15 UTC 2012 年 3 月 20 日 (火) 5 時 46 分 15 秒 (日本時間)

3×10247-7

c230

composite cofactor 合成数の残り
44598047827344607256979648308707417564232949866651846516000733908425660590356007515952354677789942362990786614868525986817441639633370838644109476788625654135084988723005660531490881913321154058552543573877923575059562833570447593<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:55:30 UTC 2012 年 1 月 27 日 (金) 15 時 55 分 30 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:13:13 UTC 2012 年 1 月 31 日 (火) 18 時 13 分 13 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:40:13 UTC 2012 年 2 月 1 日 (水) 18 時 40 分 13 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 22, 2012 19:56:25 UTC 2012 年 3 月 23 日 (金) 4 時 56 分 25 秒 (日本時間)

3×10248-7

c202

composite cofactor 合成数の残り
6173869122760316369510568089003408637392864391664520359586458029791558785494838585416516451055979717489159586016695386493503643942512362833836425667061898720701837592854135266416322753511146170365474427<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:55:39 UTC 2012 年 1 月 27 日 (金) 15 時 55 分 39 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:13:29 UTC 2012 年 1 月 31 日 (火) 18 時 13 分 29 秒 (日本時間)
4511e6250 / 3442Dmitry DomanovFebruary 1, 2012 09:40:20 UTC 2012 年 2 月 1 日 (水) 18 時 40 分 20 秒 (日本時間)
5043e6200 / 7440Dmitry DomanovMarch 22, 2012 19:56:39 UTC 2012 年 3 月 23 日 (金) 4 時 56 分 39 秒 (日本時間)

3×10249-7

c169

name 名前Dmitry Domanov
date 日付January 27, 2012 07:00:15 UTC 2012 年 1 月 27 日 (金) 16 時 0 分 15 秒 (日本時間)
composite number 合成数
4809213472776303168483484796128434082192910177040753934291535995334888116668312317783614373262404482735273865083907187527416116973529265294588594256793072657592177965539<169>
prime factors 素因数
4869178824519285585809006414302711<34>
987684709495362895203165977420899510628196981008649126905529995945945825777765948532338199812268170540997263619113792963969656706885749<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=650034800
Step 1 took 27015ms
Step 2 took 10367ms
********** Factor found in step 2: 4869178824519285585809006414302711
Found probable prime factor of 34 digits: 4869178824519285585809006414302711

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e6500 / 2318Dmitry DomanovJanuary 27, 2012 06:55:48 UTC 2012 年 1 月 27 日 (金) 15 時 55 分 48 秒 (日本時間)

3×10250-7

c249

composite cofactor 合成数の残り
638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319148936170212765957446808510638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 24, 2012 12:00:00 UTC 2012 年 1 月 24 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61500500Dmitry DomanovJanuary 27, 2012 06:55:57 UTC 2012 年 1 月 27 日 (金) 15 時 55 分 57 秒 (日本時間)
1000Dmitry DomanovJanuary 31, 2012 09:13:37 UTC 2012 年 1 月 31 日 (火) 18 時 13 分 37 秒 (日本時間)
4511e6250Dmitry DomanovFebruary 1, 2012 09:40:28 UTC 2012 年 2 月 1 日 (水) 18 時 40 分 28 秒 (日本時間)
5043e61120800Dmitry DomanovFebruary 2, 2012 11:38:43 UTC 2012 年 2 月 2 日 (木) 20 時 38 分 43 秒 (日本時間)
320Dmitry DomanovFebruary 5, 2012 19:50:33 UTC 2012 年 2 月 6 日 (月) 4 時 50 分 33 秒 (日本時間)
5511e72635 / 17342yoyo@homeFebruary 20, 2013 22:30:18 UTC 2013 年 2 月 21 日 (木) 7 時 30 分 18 秒 (日本時間)

3×10251-7

c221

composite cofactor 合成数の残り
24962573181629919871815348892044491430159022285817161010394690983057217033779049852203500403197484731472280519905465249372051990376642133382928453692234710350239119183911618147061243828746784634679572681182733777526265907<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovApril 29, 2016 11:58:21 UTC 2016 年 4 月 29 日 (金) 20 時 58 分 21 秒 (日本時間)
4511e61000 / 4306Lionel DebrouxJuly 15, 2020 06:05:52 UTC 2020 年 7 月 15 日 (水) 15 時 5 分 52 秒 (日本時間)

3×10252-7

c229

composite cofactor 合成数の残り
2712439830754963425070673926599560310098125793496629627746876107925116969175977053106052012065805398499460376143002051884749181226088255581349926571853771427080156741527085850927196571684354668129792098962724582496109745594459123<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovApril 29, 2016 11:58:39 UTC 2016 年 4 月 29 日 (金) 20 時 58 分 39 秒 (日本時間)

3×10253-7

c228

composite cofactor 合成数の残り
106317594774803849144608234619170402018499139824440683030910266256270699577928288501163176400375287314404009017069443184155801401359042218733690576238271691396157254799578133336812712110790096785208147588857008660702167697991937<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovApril 29, 2016 11:58:50 UTC 2016 年 4 月 29 日 (金) 20 時 58 分 50 秒 (日本時間)

3×10254-7

c230

composite cofactor 合成数の残り
27592712336558221441926586631306364196906048680787188184669934011338565787178654770955384456651333490190931832874815682433225827597632385657372555889509260169610516553377929859608203411689300623628903452754495772586497130341824371<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovApril 29, 2016 11:58:59 UTC 2016 年 4 月 29 日 (金) 20 時 58 分 59 秒 (日本時間)

3×10255-7

c248

composite cofactor 合成数の残り
18145559285361825506652594503176613020913416365033538709410523542511328590209138881495749581168736965099684111821476826303212404531751816387117894063648222639141312940208622035482104858505555810366251964627264475827081699237512106641548696387637099<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 10, 2016 08:02:08 UTC 2016 年 5 月 10 日 (火) 17 時 2 分 8 秒 (日本時間)

3×10256-7

c163

composite cofactor 合成数の残り
4742805829503361352225969592007215675927407523271880597649008873245187445692592289043549462508334751534358907195260073678578087646714664163856199818499137751002153<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovApril 26, 2016 12:08:29 UTC 2016 年 4 月 26 日 (火) 21 時 8 分 29 秒 (日本時間)
4511e6800Dmitry DomanovApril 30, 2016 23:42:38 UTC 2016 年 5 月 1 日 (日) 8 時 42 分 38 秒 (日本時間)
5043e61000 / 7346400Dmitry DomanovMay 4, 2016 00:20:08 UTC 2016 年 5 月 4 日 (水) 9 時 20 分 8 秒 (日本時間)
600Dmitry DomanovMay 6, 2016 17:17:59 UTC 2016 年 5 月 7 日 (土) 2 時 17 分 59 秒 (日本時間)

3×10257-7

c213

composite cofactor 合成数の残り
137447373292043675421532987613256248105704843315908776770701523063847481894994503051724908125797813769930420017242636287525561814758511108380310978542456302079002769528494544688506387175361064083341428787520412257<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 9, 2016 20:59:16 UTC 2016 年 5 月 10 日 (火) 5 時 59 分 16 秒 (日本時間)

3×10260-7

c226

composite cofactor 合成数の残り
9868594068292854716822732703952814506702565695093373921374878441995267854411480596127165317550726115196097774440791310981362354056497323921312356797269951338641032998222891735446408444049707942901771096176952638953765613560719<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 9, 2016 21:01:20 UTC 2016 年 5 月 10 日 (火) 6 時 1 分 20 秒 (日本時間)

3×10263-7

c248

composite cofactor 合成数の残り
51972555536383596944994741322468425220575649604341182154047258327055254910903157007048508492628801955528273542246853885707708137107044783790642579150141317470703978494592677741305607866493980284110551326828441580352233185076994914847343883193449347<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 10, 2016 08:02:57 UTC 2016 年 5 月 10 日 (火) 17 時 2 分 57 秒 (日本時間)

3×10264-7

c254

composite cofactor 合成数の残り
73089725546245778103473964938937446190039096712334563725911237205238169239365677340076044960957462622724616165693834205173092023708922452894349731740932820031457564984653792885342956489799988116629009689714171550041704840253777916557419321925133088080527<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 11, 2016 06:33:10 UTC 2016 年 5 月 11 日 (水) 15 時 33 分 10 秒 (日本時間)

3×10266-7

c151

name 名前Dmitry Domanov
date 日付April 28, 2016 07:53:33 UTC 2016 年 4 月 28 日 (木) 16 時 53 分 33 秒 (日本時間)
composite number 合成数
4967021546239476724286543040783182990943109544407472946757754453188055012204876360209223302738673373829194907095791205086283866398961489492810172335273<151>
prime factors 素因数
3967118322181098507540262098513076986918764993<46>
1252047744194490588840009127361144230190653963298422170780485451132702762429158376026922725901263263689961<106>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1862894295
Step 1 took 67256ms
Step 2 took 21410ms
********** Factor found in step 2: 3967118322181098507540262098513076986918764993
Found probable prime factor of 46 digits: 3967118322181098507540262098513076986918764993

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovApril 26, 2016 12:07:48 UTC 2016 年 4 月 26 日 (火) 21 時 7 分 48 秒 (日本時間)
4511e61200 / 4306Dmitry DomanovApril 28, 2016 07:29:10 UTC 2016 年 4 月 28 日 (木) 16 時 29 分 10 秒 (日本時間)

3×10267-7

c200

composite cofactor 合成数の残り
88234193163396850313093811997203354425684437318773518077854415657632246014337803442703771455879024917463550979763817698113963387887125874852298177850276124355224910365546011915987566062752076265737039<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMay 9, 2016 20:59:33 UTC 2016 年 5 月 10 日 (火) 5 時 59 分 33 秒 (日本時間)
4511e6450 / 4306Dmitry DomanovJanuary 30, 2017 07:30:29 UTC 2017 年 1 月 30 日 (月) 16 時 30 分 29 秒 (日本時間)

3×10268-7

c246

composite cofactor 合成数の残り
120548818179354490728342505601039213979684760065557238009056241415934337082393104731772569429256231630598265386124495201758274014477194479114503902762890689795647261312314764871165356964007003800401811587281646976426299288987429636876655818961309<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 10, 2016 08:03:20 UTC 2016 年 5 月 10 日 (火) 17 時 3 分 20 秒 (日本時間)

3×10269-7

c266

name 名前Dmitry Domanov
date 日付May 11, 2016 11:28:33 UTC 2016 年 5 月 11 日 (水) 20 時 28 分 33 秒 (日本時間)
composite number 合成数
33598387277410684287154216597603315040878037854182999216037630193750699966401612722589315712845783402396684959121962145817000783962369806249300033598387277410684287154216597603315040878037854182999216037630193750699966401612722589315712845783402396684959121962145817<266>
prime factors 素因数
21474366372390839572842678634482697<35>
1564581077493744088159623570922168976237618450341363532296746801699840371020713607533580439489620479672739874325096760665394297025041178927519111695102660667712970356222028920282019709115750160272239942649999243831416488289383042961<232>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1631517759
Step 1 took 25381ms
Step 2 took 8165ms
********** Factor found in step 2: 21474366372390839572842678634482697
Found probable prime factor of 35 digits: 21474366372390839572842678634482697

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovMay 11, 2016 09:09:56 UTC 2016 年 5 月 11 日 (水) 18 時 9 分 56 秒 (日本時間)

3×10270-7

c270

composite cofactor 合成数の残り
176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovMay 11, 2016 09:10:43 UTC 2016 年 5 月 11 日 (水) 18 時 10 分 43 秒 (日本時間)

3×10272-7

c244

composite cofactor 合成数の残り
7709930709628279350816471110729951958609520129000619580826978719555463173888311739319603928329068183092512570736286248745275752675014165240347487841085500368248628456435885268752107240918295388770366497786927428693424550668308339193099388988049<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 10, 2016 08:03:46 UTC 2016 年 5 月 10 日 (火) 17 時 3 分 46 秒 (日本時間)

3×10273-7

c230

composite cofactor 合成数の残り
31879716850663381944183869071085896287635612366573265857798799861579604765758883449962421953986781080615531245055237742062072614856290913251580344537757009239021208699084864946782679606472894340515034534076844596438094533930035409<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 9, 2016 21:01:02 UTC 2016 年 5 月 10 日 (火) 6 時 1 分 2 秒 (日本時間)

3×10274-7

c233

composite cofactor 合成数の残り
81600595264211185956556806634672356932282117533756619231786365500302534077620290947560113879829056644930758752297788396087492113752852483786511158637591824125046725157820414504472984072600914563072545153667998662149484203664130599367<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 10, 2016 08:04:19 UTC 2016 年 5 月 10 日 (火) 17 時 4 分 19 秒 (日本時間)

3×10275-7

c274

composite cofactor 合成数の残り
4109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovMay 11, 2016 09:11:12 UTC 2016 年 5 月 11 日 (水) 18 時 11 分 12 秒 (日本時間)

3×10276-7

c255

composite cofactor 合成数の残り
241010824095336472527744513000796145790921523472722369706457493130363598102352755601820220778583011900066336749473435901264776355966665021864870782829510818520554299526239573299891227219224737091456466011047477996264488185999567563876831195814918772783177<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 11, 2016 06:32:23 UTC 2016 年 5 月 11 日 (水) 15 時 32 分 23 秒 (日本時間)

3×10277-7

c228

composite cofactor 合成数の残り
115533369894753724933240381727197060432230415753558083260198349924662022213016443610798752312466943163021620624918366404111630806567954563001630908086235960422394931507430794892998460503542621884756856997859547620181816884880647<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 9, 2016 21:00:43 UTC 2016 年 5 月 10 日 (火) 6 時 0 分 43 秒 (日本時間)

3×10278-7

c267

composite cofactor 合成数の残り
310341670935520582083176755980706492130077874865786301322918414201445437522718373035688087435011156687055591338658080784210671043894499409424165165306040392701633249788414113273613675718655866814364622145075724345693147002316564123542256452013119425850493553322926557<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 11, 2016 09:11:56 UTC 2016 年 5 月 11 日 (水) 18 時 11 分 56 秒 (日本時間)

3×10281-7

c220

composite cofactor 合成数の残り
1899468383429974571274582159407668249719239498401771849438363827890313017703442578985675621055161979482593217947178795150546172287298810059137732498409497539971401526324400295093126193533306616492511928626705822734388729<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 9, 2016 20:59:52 UTC 2016 年 5 月 10 日 (火) 5 時 59 分 52 秒 (日本時間)

3×10282-7

c250

composite cofactor 合成数の残り
3081883727204805700422383629595968090809728530224438295568252028726197008181887525702335742765820650297941965098258612296716432348820498018775570630135997370070791746472619856563395827795497410701595366848295940868862758615728538460459251680812997321<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 10, 2016 08:04:53 UTC 2016 年 5 月 10 日 (火) 17 時 4 分 53 秒 (日本時間)

3×10283-7

c279

composite cofactor 合成数の残り
244472875734437264185538614490722254365878105824158809580077090446814925883973173176436074417543373562703218077954250975854228973295412873941636175466332010463439081433914907141052700202912486859582929273997050027299471123678827834051811951463985070856388483697733736441941766561<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovMay 11, 2016 09:36:53 UTC 2016 年 5 月 11 日 (水) 18 時 36 分 53 秒 (日本時間)

3×10285-7

c283

composite cofactor 合成数の残り
4538577912254160363086232980332829046898638426626323751891074130105900151285930408472012102874432677760968229954614220877458396369137670196671709531013615733736762481089258698940998487140695915279878971255673222390317700453857791225416036308623298033282904689863842662632375189107413<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovMay 11, 2016 09:37:27 UTC 2016 年 5 月 11 日 (水) 18 時 37 分 27 秒 (日本時間)

3×10286-7

c235

composite cofactor 合成数の残り
1787590730455598784035327805352714239474370752227889227819952680628535311944743577149301329057588193984320383948008000848433698035096472744400033077383596895158882295147381062766601770623003330435071148999990586888544450895704980010879<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 10, 2016 08:05:48 UTC 2016 年 5 月 10 日 (火) 17 時 5 分 48 秒 (日本時間)

3×10287-7

c270

composite cofactor 合成数の残り
408248469781485622796785168226570399307268161459585090985832619482599973671295687644154250777159453889323499136741022032897907665388761666425122746019050408420023286060016800291834130592317300890555594459062850236828451472694794664669793036915654083198133425713836027863<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 11, 2016 09:12:25 UTC 2016 年 5 月 11 日 (水) 18 時 12 分 25 秒 (日本時間)

3×10288-7

c231

composite cofactor 合成数の残り
419697039932042876982893750556753040316960525323238627453655563271982023882926955112450202911578738424416583118731370828881301271563143071675707874914640521538604321702969159499321991028797584541304038655536866552248028564535326443<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 10, 2016 08:06:05 UTC 2016 年 5 月 10 日 (火) 17 時 6 分 5 秒 (日本時間)

3×10289-7

c280

composite cofactor 合成数の残り
3906463081792836338860575664105882498379562978888824902904498754203986960259047265399360708644862050142709822005164798125140233967556256626840145766404093963309173403093464855812909264747242586150194262542852163258888967572144863270977530600296401297702711528124268375213263764839<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

3×10291-7

c234

composite cofactor 合成数の残り
190137281645685173638220620560246709224516924844885074693777958944060373439987530450995298980090464831723497976771522304229068965902302730692302482089100700815653066720101568062318583871535668917926839390752226543108637823510739899671<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 10, 2016 08:06:42 UTC 2016 年 5 月 10 日 (火) 17 時 6 分 42 秒 (日本時間)

3×10292-7

c240

composite cofactor 合成数の残り
497981768722057340755442504605620074517908807223943266560729470240059984642825985746591797749503339841991351263451448679977987540734972795492754731440385789667999033110199734358890455848094792575992069089070387610416068830410622816319376857<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 10, 2016 12:00:39 UTC 2016 年 5 月 10 日 (火) 21 時 0 分 39 秒 (日本時間)

3×10293-7

c200

composite cofactor 合成数の残り
48418954564512841981879652718491032438323713252712513740432250016635443219860829945063665492987409085795721194139520252500064380687223587607840175750825435279458976423467229053833865810067475291041559<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovApril 26, 2016 12:10:56 UTC 2016 年 4 月 26 日 (火) 21 時 10 分 56 秒 (日本時間)
4511e61200Dmitry DomanovApril 30, 2016 23:46:49 UTC 2016 年 5 月 1 日 (日) 8 時 46 分 49 秒 (日本時間)
5043e65700400Dmitry DomanovMay 4, 2016 14:41:25 UTC 2016 年 5 月 4 日 (水) 23 時 41 分 25 秒 (日本時間)
500Dmitry DomanovMay 7, 2016 20:53:59 UTC 2016 年 5 月 8 日 (日) 5 時 53 分 59 秒 (日本時間)
4800Dmitry DomanovSeptember 1, 2016 14:03:26 UTC 2016 年 9 月 1 日 (木) 23 時 3 分 26 秒 (日本時間)
5511e7720 / 15655Dmitry DomanovSeptember 6, 2016 19:59:04 UTC 2016 年 9 月 7 日 (水) 4 時 59 分 4 秒 (日本時間)

3×10294-7

c284

composite cofactor 合成数の残り
94518480226174277009842033951158387760968146398466454217968057981248645123466803401527827546304130791636247247257999047634376746194166945736601590389416583083756685053565382835805574523472532248530352165251404059177123048144127386493314676655244978636495321185842346375819568005264083<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

3×10295-7

c256

composite cofactor 合成数の残り
1197513965863387498317856681138090921872010481632308833551669587311606122821947271418680443356759567338570644562576084023255731466021740196443304122547816811206704328185264763206593650228987503904345651358840996087223477654105954656749535680588099230058333<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 11, 2016 06:31:18 UTC 2016 年 5 月 11 日 (水) 15 時 31 分 18 秒 (日本時間)

3×10296-7

c260

composite cofactor 合成数の残り
35239450601108066654671771653301477065657297387163950621616535421169822441604122036148327705661623005075395444164530208895742501557526048458397640779457589437846133283794876788560435762226271653289458796375854365859811528906415239713012331128639015115699595861<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 11, 2016 06:30:53 UTC 2016 年 5 月 11 日 (水) 15 時 30 分 53 秒 (日本時間)

3×10297-7

c254

composite cofactor 合成数の残り
74065145029726721008275828002969482708775153501556167478626039263496859384875325905142710326854151427783038685948758781994403985922699432484729128526823352983650690468677558769112158034707344486613711396742479386059211890990733449904913037342857419405467<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 11, 2016 06:30:22 UTC 2016 年 5 月 11 日 (水) 15 時 30 分 22 秒 (日本時間)

3×10298-7

c244

composite cofactor 合成数の残り
1448778930042566109150558078840250383255331209014364135494860595088817158260261915792122379930536108049205917080495693553843228542884325866018096514609509860483659556376177518080010081679859944717942838729736389326575042686258264675044948766283<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovMay 10, 2016 12:01:11 UTC 2016 年 5 月 10 日 (火) 21 時 1 分 11 秒 (日本時間)

3×10299-7

c281

composite cofactor 合成数の残り
90585008521414863843235418066922679664641766515580335291218894589622938221574374342378128325965453854260828588584262002447801256009963088407794069872121782161168175276222951180803577999003688973306879637539216956106280266140839092794564932043845433174065055709844994173315055295029<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

3×10300-7

c253

name 名前Dmitry Domanov
date 日付April 26, 2016 14:33:28 UTC 2016 年 4 月 26 日 (火) 23 時 33 分 28 秒 (日本時間)
composite number 合成数
4733602240380021019294790554373733682763592574326714813112223372681748125984038648652160136686629172305430442787389390153614840450593661746056736402398433617903549015053291588922201201594402994869608786329949993960603667150887908545940963440952649041467<253>
prime factors 素因数
12791252491718015177647420555898011597<38>
composite cofactor 合成数の残り
370065577506573223808956325018966507391093214605872815643445207485379723996744178577351421717786764362935497044423862463896989732546032231473664933183470905226171575260022096916688892156401238841019121769349128668711<216>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=969462061
Step 1 took 25232ms
Step 2 took 7920ms
********** Factor found in step 2: 12791252491718015177647420555898011597
Found probable prime factor of 38 digits: 12791252491718015177647420555898011597

c216

name 名前Dmitry Domanov
date 日付April 28, 2016 12:52:18 UTC 2016 年 4 月 28 日 (木) 21 時 52 分 18 秒 (日本時間)
composite number 合成数
370065577506573223808956325018966507391093214605872815643445207485379723996744178577351421717786764362935497044423862463896989732546032231473664933183470905226171575260022096916688892156401238841019121769349128668711<216>
prime factors 素因数
307744160284198424654378950697738104493481149<45>
composite cofactor 合成数の残り
1202510478719796470309646445568640701590736078586062717873137060148545422874532311084667540206857309697091242914943841786950033964708533541630044926290986494573206160361139<172>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3094346061
Step 1 took 97020ms
********** Factor found in step 1: 307744160284198424654378950697738104493481149
Found probable prime factor of 45 digits: 307744160284198424654378950697738104493481149

c172

name 名前Jason Parker-Burlingham
date 日付May 18, 2019 12:19:58 UTC 2019 年 5 月 18 日 (土) 21 時 19 分 58 秒 (日本時間)
composite number 合成数
1202510478719796470309646445568640701590736078586062717873137060148545422874532311084667540206857309697091242914943841786950033964708533541630044926290986494573206160361139<172>
prime factors 素因数
1597621547281792917760310690097577916679674965310262150733478040883<67>
752687944629789309063072457711876585672074671367371457110292345250244000617720672604166122523873869564033<105>
factorization results 素因数分解の結果
Info:Polynomial Selection (size optimized): Aggregate statistics:              
Info:Polynomial Selection (size optimized): potential collisions: 366053       
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 370047/51.900/62.177/66.480/0.832
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 370047/49.420/56.248/63.010/1.525
Info:Polynomial Selection (size optimized): Total time: 2.89515e+06            
Info:Polynomial Selection (root optimized): Aggregate statistics:              
Info:Polynomial Selection (root optimized): Total time: 7099.27                
Info:Polynomial Selection (root optimized): Rootsieve time: 7098.69            
Info:Generate Factor Base: Total cpu/real time for makefb: 56.79/3.33949       
Info:Generate Free Relations: Total cpu/real time for freerel: 2158.34/44.1912 
Info:Lattice Sieving: Aggregate statistics:                                    
Info:Lattice Sieving: Total number of relations: 166658685                     
Info:Lattice Sieving: Average J: 7789.42 for 7470709 special-q, max bucket fill
-bkmult 1.0,1s:1.062440
Info:Lattice Sieving: Total time: 3.62175e+07s                                 
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1037.7/1063.6
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:      
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1061.7999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2:
7685.03/4191.95
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:        
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 3558.0999999999995s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 8213.52/2427.78
Info:Filtering - Merging: Total cpu/real time for merge: 10264.3/6860.84       
Info:Filtering - Merging: Total cpu/real time for replay: 520.02/388.791       
Info:Linear Algebra: Total cpu/real time for bwc: 4.15727e+06/189783           
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Linear Algebra: Aggregate statistics:                                     
Info:Linear Algebra: Mksol: WCT time 189736.51, iteration CPU time 0.91, COMM 0.06, cpu-wait 0.27, comm-wait 0.0 (200000 iterations)                           
Info:Quadratic Characters: Total cpu/real time for characters: 593.44/113.304  
Info:Square Root: Total cpu/real time for sqrt: 42360.8/6080.28                
Info:HTTP server: Shutting down HTTP server                                    
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 3.83887e+07/531451
1597621547281792917760310690097577916679674965310262150733478040883 752687944629789309063072457711876585672074671367371457110292345250244000617720672604166122523873869564033

$ cat c170.poly
n: 1202510478719796470309646445568640701590736078586062717873137060148545422874532311084667540206857309697091242914943841786950033964708533541630044926290986494573206160361139
skew: 5740332.251
c0: 15742118539004945811707643423509825881648
c1: -3536776001751262926517731640835572
c2: -2304282555439410524857455112
c3: 74465182716575417563
c4: 21680357673000
c5: 2479140
Y0: -865213317764061305117547468082857
Y1: 39148269648852342952967
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=2.631e+15) = 3.25e-08
# found by revision d6ebcd34f
# f(x) = 2479140*x^5+21680357673000*x^4+74465182716575417563*x^3-2304282555439410524857455112*x^2-3536776001751262926517731640835572*x+15742118539004945811707643423509825881648
# g(x) = 39148269648852342952967*x-865213317764061305117547468082857
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
A series of Docker containers running on an AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 26, 2016 12:23:08 UTC 2016 年 4 月 26 日 (火) 21 時 23 分 8 秒 (日本時間)
4511e61200Dmitry DomanovApril 28, 2016 07:54:32 UTC 2016 年 4 月 28 日 (木) 16 時 54 分 32 秒 (日本時間)
5043e6400 / 6703Dmitry DomanovApril 30, 2016 14:12:05 UTC 2016 年 4 月 30 日 (土) 23 時 12 分 5 秒 (日本時間)
5511e7220 / 17541120Dmitry DomanovMay 6, 2016 17:13:37 UTC 2016 年 5 月 7 日 (土) 2 時 13 分 37 秒 (日本時間)
100Dmitry DomanovMay 7, 2016 20:44:11 UTC 2016 年 5 月 8 日 (日) 5 時 44 分 11 秒 (日本時間)