Table of contents 目次

5×10103-7

c88

name 名前Sinkiti Sibata
date 日付September 18, 2007 13:38:41 UTC 2007 年 9 月 18 日 (火) 22 時 38 分 41 秒 (日本時間)
composite number 合成数
4091371606258460579732267674655946076932554042364590956386352513061582689683113695434161<88>
prime factors 素因数
4410131384499304810512717460695947827<37>
927721024511601037911354571948957412235819374408843<51>
factorization results 素因数分解の結果
Tue Sep 18 16:15:04 2007  Msieve v. 1.26
Tue Sep 18 16:15:04 2007  random seeds: e103ff01 6e7fc021
Tue Sep 18 16:15:04 2007  factoring 4091371606258460579732267674655946076932554042364590956386352513061582689683113695434161 (88 digits)
Tue Sep 18 16:15:05 2007  commencing quadratic sieve (88-digit input)
Tue Sep 18 16:15:05 2007  using multiplier of 1
Tue Sep 18 16:15:05 2007  using 64kb Pentium 2 sieve core
Tue Sep 18 16:15:05 2007  sieve interval: 14 blocks of size 65536
Tue Sep 18 16:15:05 2007  processing polynomials in batches of 8
Tue Sep 18 16:15:05 2007  using a sieve bound of 1527521 (57818 primes)
Tue Sep 18 16:15:05 2007  using large prime bound of 122201680 (26 bits)
Tue Sep 18 16:15:05 2007  using double large prime bound of 360361878370480 (42-49 bits)
Tue Sep 18 16:15:05 2007  using trial factoring cutoff of 49 bits
Tue Sep 18 16:15:05 2007  polynomial 'A' values have 11 factors
Tue Sep 18 22:29:06 2007  58366 relations (16041 full + 42325 combined from 613107 partial), need 57914
Tue Sep 18 22:29:16 2007  begin with 629148 relations
Tue Sep 18 22:29:19 2007  reduce to 140454 relations in 10 passes
Tue Sep 18 22:29:19 2007  attempting to read 140454 relations
Tue Sep 18 22:29:28 2007  recovered 140454 relations
Tue Sep 18 22:29:28 2007  recovered 115367 polynomials
Tue Sep 18 22:29:33 2007  attempting to build 58366 cycles
Tue Sep 18 22:29:33 2007  found 58366 cycles in 6 passes
Tue Sep 18 22:29:35 2007  distribution of cycle lengths:
Tue Sep 18 22:29:35 2007     length 1 : 16041
Tue Sep 18 22:29:35 2007     length 2 : 11360
Tue Sep 18 22:29:35 2007     length 3 : 10344
Tue Sep 18 22:29:35 2007     length 4 : 7623
Tue Sep 18 22:29:35 2007     length 5 : 5353
Tue Sep 18 22:29:35 2007     length 6 : 3379
Tue Sep 18 22:29:35 2007     length 7 : 2011
Tue Sep 18 22:29:35 2007     length 9+: 2255
Tue Sep 18 22:29:35 2007  largest cycle: 16 relations
Tue Sep 18 22:29:36 2007  matrix is 57818 x 58366 with weight 3358951 (avg 57.55/col)
Tue Sep 18 22:29:39 2007  filtering completed in 3 passes
Tue Sep 18 22:29:39 2007  matrix is 53411 x 53475 with weight 3081715 (avg 57.63/col)
Tue Sep 18 22:29:41 2007  saving the first 48 matrix rows for later
Tue Sep 18 22:29:42 2007  matrix is 53363 x 53475 with weight 2460669 (avg 46.02/col)
Tue Sep 18 22:29:42 2007  matrix includes 64 packed rows
Tue Sep 18 22:29:42 2007  using block size 10922 for processor cache size 256 kB
Tue Sep 18 22:29:42 2007  commencing Lanczos iteration
Tue Sep 18 22:32:34 2007  lanczos halted after 845 iterations
Tue Sep 18 22:32:35 2007  recovered 14 nontrivial dependencies
Tue Sep 18 22:32:48 2007  prp37 factor: 4410131384499304810512717460695947827
Tue Sep 18 22:32:48 2007  prp51 factor: 927721024511601037911354571948957412235819374408843
Tue Sep 18 22:32:48 2007  elapsed time 06:17:44
execution environment 実行環境
Pentium3  750MHz, Windows Me)

5×10112-7

c91

name 名前Sinkiti Sibata
date 日付September 18, 2007 09:21:21 UTC 2007 年 9 月 18 日 (火) 18 時 21 分 21 秒 (日本時間)
composite number 合成数
4694280957735879835192257868892353847777033806650163825970139352033222478931893194456822253<91>
prime factors 素因数
6338023959737574815597795059605732175772951<43>
740653709666671254036993453169242903252989973403<48>
factorization results 素因数分解の結果
Number: 49993_112
N=4694280957735879835192257868892353847777033806650163825970139352033222478931893194456822253
  ( 91 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=6338023959737574815597795059605732175772951 (pp43)
 r2=740653709666671254036993453169242903252989973403 (pp48)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.95 hours.
Scaled time: 1.32 units (timescale=0.677).
Factorization parameters were as follows:
name: 49993_112
n: 4694280957735879835192257868892353847777033806650163825970139352033222478931893194456822253
m: 10000000000000000000000
c5: 500
c0: -7
skew: 0.43
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, 500001)
Primes: RFBsize:49098, AFBsize:63743, largePrimes:2287037 encountered
Relations: rels:2646059, finalFF:487489
Max relations in full relation-set: 28
Initial matrix: 112907 x 487489 with sparse part having weight 36961708.
Pruned matrix : 59914 x 60542 with weight 4878956.
Total sieving time: 1.79 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.95 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10124-7

c94

name 名前Sinkiti Sibata
date 日付September 18, 2007 12:08:30 UTC 2007 年 9 月 18 日 (火) 21 時 8 分 30 秒 (日本時間)
composite number 合成数
1001239682358861648336397232573322011186790460010738716001180000426506650931892738839297917541<94>
prime factors 素因数
96307871964544146356044436726531<32>
10396239289011278195567666108316680054766182724101112004334711<62>
factorization results 素因数分解の結果
Number: 49993_124
N=1001239682358861648336397232573322011186790460010738716001180000426506650931892738839297917541
  ( 94 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=96307871964544146356044436726531 (pp32)
 r2=10396239289011278195567666108316680054766182724101112004334711 (pp62)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.52 hours.
Scaled time: 1.71 units (timescale=0.677).
Factorization parameters were as follows:
name: 49993_124
n: 1001239682358861648336397232573322011186790460010738716001180000426506650931892738839297917541
m: 10000000000000000000000000
c5: 1
c0: -14
skew: 1.7
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:63623, largePrimes:2113124 encountered
Relations: rels:2175709, finalFF:203620
Max relations in full relation-set: 28
Initial matrix: 112785 x 203620 with sparse part having weight 17991882.
Pruned matrix : 92175 x 92802 with weight 5574129.
Total sieving time: 2.28 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.04 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: 2.52 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10125-7

c94

name 名前Robert Backstrom
date 日付September 19, 2007 05:37:52 UTC 2007 年 9 月 19 日 (水) 14 時 37 分 52 秒 (日本時間)
composite number 合成数
1464067208998587059740499172572788768975253189359034678886007716300916068840034369544317227799<94>
prime factors 素因数
292924442772209379166691899342190629<36>
4998105296856734377409878285199029073331658288276776782731<58>
factorization results 素因数分解の結果
Number: n
N=1464067208998587059740499172572788768975253189359034678886007716300916068840034369544317227799
  ( 94 digits)
Divisors found:
 r1=292924442772209379166691899342190629 (pp36)
 r2=4998105296856734377409878285199029073331658288276776782731 (pp58)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.66 hours.
Scaled time: 7.97 units (timescale=1.196).
Factorization parameters were as follows:
name: n
n:  1464067208998587059740499172572788768975253189359034678886007716300916068840034369544317227799
m:  2789993933216660492819
deg: 4
c4: 24162840
c3: -41310183912
c2: 305151674828780808
c1: 38958211045003735
c0: -144208424742214707916486
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.410
# E(F1,F2) = 5.603157e-05
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1190129837.
# 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 [100000, 880001)
Primes: RFBsize:92938, AFBsize:93172, largePrimes:1778839 encountered
Relations: rels:1814450, finalFF:217215
Max relations in full relation-set: 28
Initial matrix: 186189 x 217215 with sparse part having weight 13772099.
Pruned matrix : 164433 x 165427 with weight 8533423.
Total sieving time: 6.03 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.47 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.66 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

5×10130-7

c107

name 名前Sinkiti Sibata
date 日付September 20, 2007 00:40:41 UTC 2007 年 9 月 20 日 (木) 9 時 40 分 41 秒 (日本時間)
composite number 合成数
18305833270602497558634047496818074228604958225953465398543733671509497228985003045752560531079663898299167<107>
prime factors 素因数
6467580254270363725519254058868497565332259571617<49>
2830399090682433194863117944409611442158552826222489705151<58>
factorization results 素因数分解の結果
Number: 49993_130
N=18305833270602497558634047496818074228604958225953465398543733671509497228985003045752560531079663898299167
  ( 107 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=6467580254270363725519254058868497565332259571617 (pp49)
 r2=2830399090682433194863117944409611442158552826222489705151 (pp58)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.74 hours.
Scaled time: 7.52 units (timescale=2.010).
Factorization parameters were as follows:
name: 49993_130
n: 18305833270602497558634047496818074228604958225953465398543733671509497228985003045752560531079663898299167
m: 100000000000000000000000000
c5: 5
c0: -7
skew: 1.07
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, 850001)
Primes: RFBsize:63951, AFBsize:64228, largePrimes:1510813 encountered
Relations: rels:1545060, finalFF:204183
Max relations in full relation-set: 28
Initial matrix: 128244 x 204183 with sparse part having weight 12800443.
Pruned matrix : 105593 x 106298 with weight 5310169.
Total sieving time: 3.62 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.74 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core2 Duo E6300 1.86GHz, Windows Vista and Cygwin) 

5×10132-7

c105

name 名前Jo Yeong Uk
date 日付September 18, 2007 23:08:42 UTC 2007 年 9 月 19 日 (水) 8 時 8 分 42 秒 (日本時間)
composite number 合成数
181796912120275398531617563014368827286582977646429455177241425072313600143265207326873879751902953654347<105>
prime factors 素因数
66744018120546449161802491041419358230857<41>
2723793341179006978601831413759133998675258378764478782653155571<64>
factorization results 素因数分解の結果
Number: 49993_132
N=181796912120275398531617563014368827286582977646429455177241425072313600143265207326873879751902953654347
  ( 105 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=66744018120546449161802491041419358230857 (pp41)
 r2=2723793341179006978601831413759133998675258378764478782653155571 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.35 hours.
Scaled time: 5.04 units (timescale=2.140).
Factorization parameters were as follows:
n: 181796912120275398531617563014368827286582977646429455177241425072313600143265207326873879751902953654347
m: 500000000000000000000000000
c5: 4
c0: -175
skew: 2.13
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1100001)
Primes: RFBsize:107126, AFBsize:106873, largePrimes:2194322 encountered
Relations: rels:2272551, finalFF:259727
Max relations in full relation-set: 28
Initial matrix: 214063 x 259727 with sparse part having weight 16899820.
Pruned matrix : 189994 x 191128 with weight 9651216.
Total sieving time: 2.21 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 2.35 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

5×10133-7

c114

name 名前Jo Yeong Uk
date 日付September 19, 2007 02:16:04 UTC 2007 年 9 月 19 日 (水) 11 時 16 分 4 秒 (日本時間)
composite number 合成数
124614236818301411544359062366169325675748332513461267291694167073654610945066429659024926693632485623021562106873<114>
prime factors 素因数
162299914415288288281496198151331987381<39>
767802233705694607885077764652977937099475049390304533874402633274801489333<75>
factorization results 素因数分解の結果
Number: 49993_133
N=124614236818301411544359062366169325675748332513461267291694167073654610945066429659024926693632485623021562106873
  ( 114 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=162299914415288288281496198151331987381 (pp39)
 r2=767802233705694607885077764652977937099475049390304533874402633274801489333 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.90 hours.
Scaled time: 6.13 units (timescale=2.113).
Factorization parameters were as follows:
n: 124614236818301411544359062366169325675748332513461267291694167073654610945066429659024926693632485623021562106873
m: 1000000000000000000000000000
c5: 1
c0: -140
skew: 2.69
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1200001)
Primes: RFBsize:107126, AFBsize:107423, largePrimes:2258417 encountered
Relations: rels:2365136, finalFF:274865
Max relations in full relation-set: 28
Initial matrix: 214613 x 274865 with sparse part having weight 19811144.
Pruned matrix : 188857 x 189994 with weight 10562686.
Total sieving time: 2.75 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 2.90 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 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

5×10136-7

c124

name 名前Jo Yeong Uk
date 日付September 19, 2007 04:35:37 UTC 2007 年 9 月 19 日 (水) 13 時 35 分 37 秒 (日本時間)
composite number 合成数
8911043814654741266385357410993071277936469227783606071546576951629885484600301382670236701307968095738801477446099877737731<124>
prime factors 素因数
43352727754257453263558076969496197958853012323126787749<56>
205547477085329019216150576259951986360308957854427429660726601104519<69>
factorization results 素因数分解の結果
Number: 49993_136
N=8911043814654741266385357410993071277936469227783606071546576951629885484600301382670236701307968095738801477446099877737731
  ( 124 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=43352727754257453263558076969496197958853012323126787749 (pp56)
 r2=205547477085329019216150576259951986360308957854427429660726601104519 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.57 hours.
Scaled time: 7.58 units (timescale=2.121).
Factorization parameters were as follows:
n: 8911043814654741266385357410993071277936469227783606071546576951629885484600301382670236701307968095738801477446099877737731
m: 1000000000000000000000000000
c5: 50
c0: -7
skew: 0.67
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1350001)
Primes: RFBsize:107126, AFBsize:107448, largePrimes:2286653 encountered
Relations: rels:2372902, finalFF:249972
Max relations in full relation-set: 28
Initial matrix: 214639 x 249972 with sparse part having weight 19123445.
Pruned matrix : 202249 x 203386 with weight 12879625.
Total sieving time: 3.38 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 3.57 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

5×10137-7

c115

name 名前Jo Yeong Uk
date 日付September 19, 2007 07:20:40 UTC 2007 年 9 月 19 日 (水) 16 時 20 分 40 秒 (日本時間)
composite number 合成数
7824190839691669749163653157266934458630643853189079636887156615889238145318912324273611451606146225919988064304887<115>
prime factors 素因数
9394428712264339107505356592635883<34>
832854352226576752484715428137571713119476790537271630219939252608157903031281189<81>
factorization results 素因数分解の結果
Number: 49993_137
N=7824190839691669749163653157266934458630643853189079636887156615889238145318912324273611451606146225919988064304887
  ( 115 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=9394428712264339107505356592635883 (pp34)
 r2=832854352226576752484715428137571713119476790537271630219939252608157903031281189 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.58 hours.
Scaled time: 7.64 units (timescale=2.136).
Factorization parameters were as follows:
n: 7824190839691669749163653157266934458630643853189079636887156615889238145318912324273611451606146225919988064304887
m: 5000000000000000000000000000
c5: 4
c0: -175
skew: 2.13
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1350001)
Primes: RFBsize:107126, AFBsize:106873, largePrimes:2324504 encountered
Relations: rels:2470570, finalFF:302661
Max relations in full relation-set: 28
Initial matrix: 214063 x 302661 with sparse part having weight 23246989.
Pruned matrix : 183090 x 184224 with weight 11133020.
Total sieving time: 3.42 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 3.58 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

5×10138-7

c125

name 名前Jo Yeong Uk
date 日付September 19, 2007 09:57:17 UTC 2007 年 9 月 19 日 (水) 18 時 57 分 17 秒 (日本時間)
composite number 合成数
87744261532518692236722362187251629645597029515691483213116126366750425844988944265188979806400848045894132573044429215357301<125>
prime factors 素因数
589299164638605947647771819491726255852140418406087<51>
148895954377143576247780304403642128934646012521450079487879648263630397923<75>
factorization results 素因数分解の結果
Number: 49993_138
N=87744261532518692236722362187251629645597029515691483213116126366750425844988944265188979806400848045894132573044429215357301
  ( 125 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=589299164638605947647771819491726255852140418406087 (pp51)
 r2=148895954377143576247780304403642128934646012521450079487879648263630397923 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.39 hours.
Scaled time: 11.50 units (timescale=2.133).
Factorization parameters were as follows:
n: 87744261532518692236722362187251629645597029515691483213116126366750425844988944265188979806400848045894132573044429215357301
m: 10000000000000000000000000000
c5: 1
c0: -140
skew: 2.69
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1050001)
Primes: RFBsize:107126, AFBsize:107423, largePrimes:2239474 encountered
Relations: rels:2359215, finalFF:276225
Max relations in full relation-set: 28
Initial matrix: 214613 x 276225 with sparse part having weight 22517328.
Pruned matrix : 188495 x 189632 with weight 12308616.
Total sieving time: 5.22 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 5.39 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

5×10142-7

c130

name 名前Robert Backstrom
date 日付September 20, 2007 01:22:39 UTC 2007 年 9 月 20 日 (木) 10 時 22 分 39 秒 (日本時間)
composite number 合成数
8573859653563686872153672611065011274732927198251276617077489205709398361640445149078749285697650620290539145986731822988676801331<130>
prime factors 素因数
2223141064464610943664418818229457665011638221<46>
3856642203506996485674317701132711550770098652412611342040704528870940226564907142911<85>
factorization results 素因数分解の結果
Number: n
N=8573859653563686872153672611065011274732927198251276617077489205709398361640445149078749285697650620290539145986731822988676801331
  ( 130 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=2223141064464610943664418818229457665011638221 (pp46)
 r2=3856642203506996485674317701132711550770098652412611342040704528870940226564907142911 (pp85)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.11 hours.
Scaled time: 22.82 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_4_9_141_3
n: 8573859653563686872153672611065011274732927198251276617077489205709398361640445149078749285697650620290539145986731822988676801331
type: snfs
skew: 1.00
deg: 5
c5: 500
c0: -7
m: 10000000000000000000000000000
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, 900001)
Primes: RFBsize:148933, AFBsize:148765, largePrimes:5656958 encountered
Relations: rels:5036472, finalFF:365043
Max relations in full relation-set: 28
Initial matrix: 297764 x 365043 with sparse part having weight 18678812.
Pruned matrix : 238754 x 240306 with weight 9621800.
Total sieving time: 17.82 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.93 hours.
Total square root time: 0.10 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.3,2.3,100000
total time: 19.11 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

5×10143-7

c119

name 名前Jo Yeong Uk
date 日付September 19, 2007 23:03:57 UTC 2007 年 9 月 20 日 (木) 8 時 3 分 57 秒 (日本時間)
composite number 合成数
57767924529568957888537801310876296895668866171545711112223603502784417848468335253465142833454489613026092525604436553<119>
prime factors 素因数
2457983453888362366242036666452627350164707<43>
23502161675736277599130693612709951586027071255823077510499322192862480222179<77>
factorization results 素因数分解の結果
Number: 49993_143
N=57767924529568957888537801310876296895668866171545711112223603502784417848468335253465142833454489613026092525604436553
  ( 119 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=2457983453888362366242036666452627350164707 (pp43)
 r2=23502161675736277599130693612709951586027071255823077510499322192862480222179 (pp77)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.30 hours.
Scaled time: 17.70 units (timescale=2.132).
Factorization parameters were as follows:
n: 57767924529568957888537801310876296895668866171545711112223603502784417848468335253465142833454489613026092525604436553
m: 100000000000000000000000000000
c5: 1
c0: -140
skew: 2.69
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1300001)
Primes: RFBsize:114155, AFBsize:114557, largePrimes:3355292 encountered
Relations: rels:3393674, finalFF:331157
Max relations in full relation-set: 28
Initial matrix: 228776 x 331157 with sparse part having weight 30146465.
Pruned matrix : 195268 x 196475 with weight 14800409.
Total sieving time: 8.09 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 8.30 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

5×10145-7

c146

name 名前Jo Yeong Uk
date 日付September 18, 2007 23:07:36 UTC 2007 年 9 月 19 日 (水) 8 時 7 分 36 秒 (日本時間)
composite number 合成数
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<146>
prime factors 素因数
348607637797598731797334666578807254587298021398884344017102244986489<69>
143427723832688809873861290555759641653195758704762012607777555925493706059137<78>
factorization results 素因数分解の結果
Number: 49993_145
N=49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 146 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=348607637797598731797334666578807254587298021398884344017102244986489 (pp69)
 r2=143427723832688809873861290555759641653195758704762012607777555925493706059137 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.30 hours.
Scaled time: 17.62 units (timescale=2.122).
Factorization parameters were as follows:
n: 49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 100000000000000000000000000000
c5: 5
c0: -7
skew: 1.07
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1300001)
Primes: RFBsize:114155, AFBsize:114162, largePrimes:3386072 encountered
Relations: rels:3436911, finalFF:340015
Max relations in full relation-set: 28
Initial matrix: 228382 x 340015 with sparse part having weight 31556853.
Pruned matrix : 193007 x 194212 with weight 15015116.
Total sieving time: 8.09 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 8.30 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

5×10146-7

c107

name 名前Jo Yeong Uk
date 日付September 19, 2007 23:05:35 UTC 2007 年 9 月 20 日 (木) 8 時 5 分 35 秒 (日本時間)
composite number 合成数
16814414173512297631896560241640536292869348031719843335103615147794108141962215977079516141086042278877063<107>
prime factors 素因数
39419505496131463374918351524556451155850236259<47>
426550611477417551441580681597762746623708391057419314031757<60>
factorization results 素因数分解の結果
Number: 49993_146
N=16814414173512297631896560241640536292869348031719843335103615147794108141962215977079516141086042278877063
  ( 107 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=39419505496131463374918351524556451155850236259 (pp47)
 r2=426550611477417551441580681597762746623708391057419314031757 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.51 hours.
Scaled time: 22.53 units (timescale=2.143).
Factorization parameters were as follows:
n: 16814414173512297631896560241640536292869348031719843335103615147794108141962215977079516141086042278877063
m: 100000000000000000000000000000
c5: 50
c0: -7
skew: 0.67
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1575001)
Primes: RFBsize:135072, AFBsize:135423, largePrimes:3793573 encountered
Relations: rels:3866749, finalFF:362728
Max relations in full relation-set: 28
Initial matrix: 270560 x 362728 with sparse part having weight 34071867.
Pruned matrix : 238068 x 239484 with weight 19000621.
Total sieving time: 10.19 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.24 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: 10.51 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

5×10147-7

c137

name 名前Jo Yeong Uk
date 日付September 20, 2007 03:33:43 UTC 2007 年 9 月 20 日 (木) 12 時 33 分 43 秒 (日本時間)
composite number 合成数
14269128951675306587656103056392781244121178891433426670144019869249655079558182381438140303751595107152717138583707250452128119031995471<137>
prime factors 素因数
39143694405820216125374984826505126817968351<44>
364531993422512812212311418475269937871127766102122723800434357272554629366883846804656575121<93>
factorization results 素因数分解の結果
Number: 49993_147
N=14269128951675306587656103056392781244121178891433426670144019869249655079558182381438140303751595107152717138583707250452128119031995471
  ( 137 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=39143694405820216125374984826505126817968351 (pp44)
 r2=364531993422512812212311418475269937871127766102122723800434357272554629366883846804656575121 (pp93)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.32 hours.
Scaled time: 22.14 units (timescale=2.145).
Factorization parameters were as follows:
n: 14269128951675306587656103056392781244121178891433426670144019869249655079558182381438140303751595107152717138583707250452128119031995471
m: 500000000000000000000000000000
c5: 4
c0: -175
skew: 2.13
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1575001)
Primes: RFBsize:135072, AFBsize:134853, largePrimes:3806264 encountered
Relations: rels:3951764, finalFF:434720
Max relations in full relation-set: 28
Initial matrix: 269989 x 434720 with sparse part having weight 39919688.
Pruned matrix : 213923 x 215336 with weight 18154201.
Total sieving time: 10.05 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 10.32 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

5×10148-7

c144

name 名前Jo Yeong Uk
date 日付September 20, 2007 12:42:46 UTC 2007 年 9 月 20 日 (木) 21 時 42 分 46 秒 (日本時間)
composite number 合成数
238717039144820078967596549106482122480938444424286116694437415553847402519897065212720753581949172368025284908786219342764247826481358586413181<144>
prime factors 素因数
85730161306764919729693936025764142920932871039<47>
2784516388469492464533403078786154427691160272586017433488469433231396033078317295048722652094979<97>
factorization results 素因数分解の結果
Number: 49993_148
N=238717039144820078967596549106482122480938444424286116694437415553847402519897065212720753581949172368025284908786219342764247826481358586413181
  ( 144 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=85730161306764919729693936025764142920932871039 (pp47)
 r2=2784516388469492464533403078786154427691160272586017433488469433231396033078317295048722652094979 (pp97)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 12.50 hours.
Scaled time: 26.56 units (timescale=2.124).
Factorization parameters were as follows:
n: 238717039144820078967596549106482122480938444424286116694437415553847402519897065212720753581949172368025284908786219342764247826481358586413181
m: 1000000000000000000000000000000
c5: 1
c0: -140
skew: 2.69
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, 1725001)
Primes: RFBsize:135072, AFBsize:135583, largePrimes:3874933 encountered
Relations: rels:4005276, finalFF:405690
Max relations in full relation-set: 28
Initial matrix: 270719 x 405690 with sparse part having weight 39826184.
Pruned matrix : 229408 x 230825 with weight 20381958.
Total sieving time: 12.17 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,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 12.50 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

5×10149-7

c137

name 名前Jo Yeong Uk
date 日付September 20, 2007 12:17:52 UTC 2007 年 9 月 20 日 (木) 21 時 17 分 52 秒 (日本時間)
composite number 合成数
42085702814120047318762251527880567894812152207168529855646296135167386162678994579997839545194550841551120722204859676477586031224415623<137>
prime factors 素因数
1863894902146250689138702961366278706980495490732424870829<58>
22579439841623531991161014465575701572092571425255411323896978985792253366291587<80>
factorization results 素因数分解の結果
Number: 49993_149
N=42085702814120047318762251527880567894812152207168529855646296135167386162678994579997839545194550841551120722204859676477586031224415623
  ( 137 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1863894902146250689138702961366278706980495490732424870829 (pp58)
 r2=22579439841623531991161014465575701572092571425255411323896978985792253366291587 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.20 hours.
Scaled time: 19.61 units (timescale=2.132).
Factorization parameters were as follows:
n: 42085702814120047318762251527880567894812152207168529855646296135167386162678994579997839545194550841551120722204859676477586031224415623
m: 1000000000000000000000000000000
c5: 1
c0: -14
skew: 1.7
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, 1500001)
Primes: RFBsize:135072, AFBsize:134923, largePrimes:3682097 encountered
Relations: rels:3704501, finalFF:337628
Max relations in full relation-set: 28
Initial matrix: 270059 x 337628 with sparse part having weight 29012768.
Pruned matrix : 242332 x 243746 with weight 17407984.
Total sieving time: 8.88 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 9.20 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

5×10150-7

c117

name 名前Jo Yeong Uk
date 日付September 21, 2007 00:08:16 UTC 2007 年 9 月 21 日 (金) 9 時 8 分 16 秒 (日本時間)
composite number 合成数
129491129941068553703812537946480368789816344933526174856540977440519983389852818222234719791591816985068314972592889<117>
prime factors 素因数
6154380393511946888616304633963<31>
21040482008161263229987519894156551396567478881186385296972651591714274238026715657003<86>
factorization results 素因数分解の結果
Number: 49993_150
N=129491129941068553703812537946480368789816344933526174856540977440519983389852818222234719791591816985068314972592889
  ( 117 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=6154380393511946888616304633963 (pp31)
 r2=21040482008161263229987519894156551396567478881186385296972651591714274238026715657003 (pp86)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.34 hours.
Scaled time: 24.17 units (timescale=2.131).
Factorization parameters were as follows:
n: 129491129941068553703812537946480368789816344933526174856540977440519983389852818222234719791591816985068314972592889
m: 1000000000000000000000000000000
c5: 5
c0: -7
skew: 1.07
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, 1900001)
Primes: RFBsize:176302, AFBsize:175868, largePrimes:5272948 encountered
Relations: rels:5112371, finalFF:430990
Max relations in full relation-set: 28
Initial matrix: 352235 x 430990 with sparse part having weight 34977477.
Pruned matrix : 305477 x 307302 with weight 22005147.
Total sieving time: 10.84 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 11.34 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

5×10151-7

c121

name 名前Jo Yeong Uk
date 日付September 19, 2007 07:28:14 UTC 2007 年 9 月 19 日 (水) 16 時 28 分 14 秒 (日本時間)
composite number 合成数
4841306849353688934397411515931918483610028253142238998040590499394292413655515598549891105635139837625270921939127645799<121>
prime factors 素因数
293508139448334928739242445881249<33>
16494625527091676916421984392283134811156918776772753098253796574689797190832398167922951<89>
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 4841306849353688934397411515931918483610028253142238998040590499394292413655515598549891105635139837625270921939127645799 (121 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4030380561
Step 1 took 6709ms
Step 2 took 3705ms
********** Factor found in step 2: 293508139448334928739242445881249
Found probable prime factor of 33 digits: 293508139448334928739242445881249
Probable prime cofactor 16494625527091676916421984392283134811156918776772753098253796574689797190832398167922951 has 89 digits
execution environment 実行環境
Core 2 Quad Q6600

5×10152-7

c110

name 名前Jo Yeong Uk
date 日付September 21, 2007 04:34:45 UTC 2007 年 9 月 21 日 (金) 13 時 34 分 45 秒 (日本時間)
composite number 合成数
17414648247137902210132824181583304066910194155046022301650741655577181114209034000065980412530628852712325803<110>
prime factors 素因数
188518073602970413450229413063<30>
940840568278596734516455337701<30>
98185120607867205620512879136643224913634476404281<50>
factorization results 素因数分解の結果
Number: 49993_152
N=17414648247137902210132824181583304066910194155046022301650741655577181114209034000065980412530628852712325803
  ( 110 digits)
Divisors found:
 r1=188518073602970413450229413063 (pp30)
 r2=940840568278596734516455337701 (pp30)
 r3=98185120607867205620512879136643224913634476404281 (pp50)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 14.68 hours.
Scaled time: 31.13 units (timescale=2.120).
Factorization parameters were as follows:
name: 49993_152
n: 17414648247137902210132824181583304066910194155046022301650741655577181114209034000065980412530628852712325803
skew: 56517.21
# norm 2.42e+15
c5: 2880
c4: 1175164712
c3: -29239402533387
c2: -938352304661497866
c1: 73927841365309126364192
c0: -902182295668313581002209856
# alpha -6.39
Y1: 72628709197
Y0: -1433186298969104262985
# Murphy_E 1.04e-09
# M 12838353175379424893908978938079702592009453283711586973468906081864813655034909619752608931304311664598306820
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1200000, 1920001)
Primes: RFBsize:176302, AFBsize:176892, largePrimes:7434009 encountered
Relations: rels:7156751, finalFF:427712
Max relations in full relation-set: 28
Initial matrix: 353274 x 427712 with sparse part having weight 39905520.
Pruned matrix : 300831 x 302661 with weight 25640907.
Polynomial selection time: 0.78 hours.
Total sieving time: 13.25 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000
total time: 14.68 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

5×10153-7

c136

name 名前Sinkiti Sibata
date 日付September 24, 2007 02:04:41 UTC 2007 年 9 月 24 日 (月) 11 時 4 分 41 秒 (日本時間)
composite number 合成数
9780489252209843258748295325322445828861819876619459830498259544007166236469918061045471477958043159769750664560714769953352476507471239<136>
prime factors 素因数
23985742229316002405160508997718416270586975005491<50>
407762626593054648807646182158981927854290181355167860837282173381501147582605582632029<87>
factorization results 素因数分解の結果
Number: 49993_153
N=9780489252209843258748295325322445828861819876619459830498259544007166236469918061045471477958043159769750664560714769953352476507471239
  ( 136 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=23985742229316002405160508997718416270586975005491 (pp50)
 r2=407762626593054648807646182158981927854290181355167860837282173381501147582605582632029 (pp87)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 41.29 hours.
Scaled time: 27.95 units (timescale=0.677).
Factorization parameters were as follows:
name: 49993_153
n: 9780489252209843258748295325322445828861819876619459830498259544007166236469918061045471477958043159769750664560714769953352476507471239
m: 5000000000000000000000000000000
c5: 8
c0: -35
skew: 1.34
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2300001)
Primes: RFBsize:176302, AFBsize:176798, largePrimes:5470514 encountered
Relations: rels:5308781, finalFF:410488
Max relations in full relation-set: 28
Initial matrix: 353165 x 410488 with sparse part having weight 36573902.
Pruned matrix : 331184 x 333013 with weight 26077344.
Total sieving time: 36.51 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.39 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 41.29 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10154-7

c144

name 名前Robert Backstrom
date 日付September 21, 2007 01:08:19 UTC 2007 年 9 月 21 日 (金) 10 時 8 分 19 秒 (日本時間)
composite number 合成数
119867173397794507936562028872143053364267557793942124954308317334879039092932793449039649487083341517467372369417965078031872011075677110642061<144>
prime factors 素因数
2329496337443922537883208273725168308815052824721528210923<58>
51456261798342511671036399891501546912876135404430952940563337964752143215157251247207<86>
factorization results 素因数分解の結果
Number: n
N=119867173397794507936562028872143053364267557793942124954308317334879039092932793449039649487083341517467372369417965078031872011075677110642061
  ( 144 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=2329496337443922537883208273725168308815052824721528210923 (pp58)
 r2=51456261798342511671036399891501546912876135404430952940563337964752143215157251247207 (pp86)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 19.32 hours.
Scaled time: 26.35 units (timescale=1.364).
Factorization parameters were as follows:
name: KA_4_9_153_3
n: 119867173397794507936562028872143053364267557793942124954308317334879039092932793449039649487083341517467372369417965078031872011075677110642061
skew: 1.00
deg: 5
c5: 1
c0: -14
m: 10000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:183072, AFBsize:182621, largePrimes:6422576 encountered
Relations: rels:5852822, finalFF:412844
Max relations in full relation-set: 28
Initial matrix: 365757 x 412844 with sparse part having weight 26329532.
Pruned matrix : 325573 x 327465 with weight 17263082.
Total sieving time: 17.06 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.76 hours.
Total square root time: 0.33 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 19.32 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10156-7

c154

name 名前Robert Backstrom
date 日付September 21, 2007 11:09:50 UTC 2007 年 9 月 21 日 (金) 20 時 9 分 50 秒 (日本時間)
composite number 合成数
2203613926840017628911414720141031291317761128250330542089026002644336712208021154693697664169237549581313353900396650506831203173204054649625385632437197<154>
prime factors 素因数
702447342551455682763805673011418695171148173600333160411<57>
3137052122420974879105045171402526152498877264559652000048811419905235475853470855786187595915127<97>
factorization results 素因数分解の結果
Number: n
N=2203613926840017628911414720141031291317761128250330542089026002644336712208021154693697664169237549581313353900396650506831203173204054649625385632437197
  ( 154 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=702447342551455682763805673011418695171148173600333160411 (pp57)
 r2=3137052122420974879105045171402526152498877264559652000048811419905235475853470855786187595915127 (pp97)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 32.73 hours.
Scaled time: 47.30 units (timescale=1.445).
Factorization parameters were as follows:
name: KA_4_9_155_3
n: 2203613926840017628911414720141031291317761128250330542089026002644336712208021154693697664169237549581313353900396650506831203173204054649625385632437197
skew: 1.00
deg: 5
c5: 50
c0: -7
m: 10000000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
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, 1600001)
Primes: RFBsize:148933, AFBsize:149340, largePrimes:7221415 encountered
Relations: rels:6677603, finalFF:340291
Max relations in full relation-set: 28
Initial matrix: 298338 x 340291 with sparse part having weight 35254069.
Pruned matrix : 282176 x 283731 with weight 26733037.
Total sieving time: 29.31 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.95 hours.
Total square root time: 0.24 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 32.73 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5×10159-7

c126

name 名前Sinkiti Sibata
date 日付September 22, 2007 20:29:21 UTC 2007 年 9 月 23 日 (日) 5 時 29 分 21 秒 (日本時間)
composite number 合成数
407385412971774246984894055262282656186910895322963362483310889127715264264776948863397719450706989787968437776460909958316571<126>
prime factors 素因数
1364391784808783411765902177253121572084574108528241<52>
298583894675727940289845675134760397414301294012470876284306516517828237131<75>
factorization results 素因数分解の結果
Number: 49993_159
N=407385412971774246984894055262282656186910895322963362483310889127715264264776948863397719450706989787968437776460909958316571
  ( 126 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=1364391784808783411765902177253121572084574108528241 (pp52)
 r2=298583894675727940289845675134760397414301294012470876284306516517828237131 (pp75)
Version: GGNFS-0.77.1-20060513-k8
Total time: 40.15 hours.
Scaled time: 80.17 units (timescale=1.997).
Factorization parameters were as follows:
name: 49993_159
n: 407385412971774246984894055262282656186910895322963362483310889127715264264776948863397719450706989787968437776460909958316571
m: 100000000000000000000000000000000
c5: 1
c0: -14
skew: 1.7
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:283092, largePrimes:5702766 encountered
Relations: rels:5817296, finalFF:727915
Max relations in full relation-set: 28
Initial matrix: 566302 x 727915 with sparse part having weight 43359878.
Pruned matrix : 431450 x 434345 with weight 26402153.
Total sieving time: 37.67 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 40.15 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz,   Windows Vista)

5×10161-7

c136

name 名前Sinkiti Sibata
date 日付September 29, 2007 03:19:32 UTC 2007 年 9 月 29 日 (土) 12 時 19 分 32 秒 (日本時間)
composite number 合成数
1321207937615067776138099496089850613691726498550114845141787036218852281776516361293885682470727693894523974030933270087638528096917617<136>
prime factors 素因数
4798551110626920975723815067816871876805464439071<49>
275334764005974011025338002993961748286200016743548777673724333243675964471822107503727<87>
factorization results 素因数分解の結果
Number: 49993_161
N=1321207937615067776138099496089850613691726498550114845141787036218852281776516361293885682470727693894523974030933270087638528096917617
  ( 136 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=4798551110626920975723815067816871876805464439071 (pp49)
 r2=275334764005974011025338002993961748286200016743548777673724333243675964471822107503727 (pp87)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 94.90 hours.
Scaled time: 64.25 units (timescale=0.677).
Factorization parameters were as follows:
name: 49993_161
n: 1321207937615067776138099496089850613691726498550114845141787036218852281776516361293885682470727693894523974030933270087638528096917617
m: 100000000000000000000000000000000
c5: 50
c0: -7
skew: 0.67
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4550001)
Primes: RFBsize:315948, AFBsize:316881, largePrimes:5844440 encountered
Relations: rels:5989509, finalFF:769982
Max relations in full relation-set: 28
Initial matrix: 632894 x 769982 with sparse part having weight 47420540.
Pruned matrix : 526978 x 530206 with weight 32469606.
Total sieving time: 82.02 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 12.29 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 94.90 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10162-7

c136

name 名前Sinkiti Sibata
date 日付September 25, 2007 10:49:56 UTC 2007 年 9 月 25 日 (火) 19 時 49 分 56 秒 (日本時間)
composite number 合成数
4397992827905366561495616972942610757769676397548052455720011518707669668467184795048847173974047956366224189761866099002983083128112811<136>
prime factors 素因数
32186888333809678325979899492525673198029<41>
136639266967774480350045857113895807555932147258323470751247259644932218298158286602940005007959<96>
factorization results 素因数分解の結果
Number: 49993_162
N=4397992827905366561495616972942610757769676397548052455720011518707669668467184795048847173974047956366224189761866099002983083128112811
  ( 136 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=32186888333809678325979899492525673198029 (pp41)
 r2=136639266967774480350045857113895807555932147258323470751247259644932218298158286602940005007959 (pp96)
Version: GGNFS-0.77.1-20060513-k8
Total time: 66.77 hours.
Scaled time: 132.61 units (timescale=1.986).
Factorization parameters were as follows:
name: 49993_162
n: 4397992827905366561495616972942610757769676397548052455720011518707669668467184795048847173974047956366224189761866099002983083128112811
m: 100000000000000000000000000000000
c5: 500
c0: -7
skew: 0.43
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4350001)
Primes: RFBsize:315948, AFBsize:315206, largePrimes:5778555 encountered
Relations: rels:5922064, finalFF:770316
Max relations in full relation-set: 28
Initial matrix: 631220 x 770316 with sparse part having weight 46730298.
Pruned matrix : 518559 x 521779 with weight 31016251.
Total sieving time: 63.45 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.94 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 66.77 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
(上の枠に貼り付けた素因数分解ソフトウェアの出力結果に実行環境の情報が含まれていない場合は、それをここに記入してください。例:Pentium 4 3.06GHz, Windows XP and 
Cygwin)
Core 2 Duo E6300 1.86GHz, Windows Vista)

5×10163-7

c158

name 名前Robert Backstrom
date 日付September 24, 2007 05:04:55 UTC 2007 年 9 月 24 日 (月) 14 時 4 分 55 秒 (日本時間)
composite number 合成数
40191989093501839587340809579197912588854439888459191867713694777211785255809952983411158421548050728720954254281853558076218480437353148519849617653607753517<158>
prime factors 素因数
3045777474311016078416962103126374071511<40>
13195970300684442140409379802151398451013119494061176587343764266942527286513791024515689055116238602995731201645467547<119>
factorization results 素因数分解の結果
Number: n
N=40191989093501839587340809579197912588854439888459191867713694777211785255809952983411158421548050728720954254281853558076218480437353148519849617653607753517
  ( 158 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=3045777474311016078416962103126374071511 (pp40)
 r2=13195970300684442140409379802151398451013119494061176587343764266942527286513791024515689055116238602995731201645467547 (pp119)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 63.80 hours.
Scaled time: 92.00 units (timescale=1.442).
Factorization parameters were as follows:
name: KA_4_9_162_3
n: 40191989093501839587340809579197912588854439888459191867713694777211785255809952983411158421548050728720954254281853558076218480437353148519849617653607753517
skew: 0.27
deg: 5
c5: 5000
c0: -7
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3000001)
Primes: RFBsize:216816, AFBsize:217636, largePrimes:7601696 encountered
Relations: rels:7098507, finalFF:494362
Max relations in full relation-set: 28
Initial matrix: 434517 x 494362 with sparse part having weight 44766005.
Pruned matrix : 411191 x 413427 with weight 33800123.
Total sieving time: 57.42 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 6.04 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 63.80 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5×10165-7

c108

name 名前Sinkiti Sibata
date 日付September 21, 2007 21:27:31 UTC 2007 年 9 月 22 日 (土) 6 時 27 分 31 秒 (日本時間)
composite number 合成数
142394464043090857513239492807664605923383657649420029924108397359976327605079156360506333452052514645110109<108>
prime factors 素因数
319197319597996510039273971999701<33>
446101691024302128170720348856355665147674572755074743500867309182182952809<75>
factorization results 素因数分解の結果
Number: 49993_165
N=142394464043090857513239492807664605923383657649420029924108397359976327605079156360506333452052514645110109
  ( 108 digits)
Divisors found:
 r1=319197319597996510039273971999701 (pp33)
 r2=446101691024302128170720348856355665147674572755074743500867309182182952809 (pp75)
Version: GGNFS-0.77.1-20060513-k8
Total time: 16.02 hours.
Scaled time: 31.80 units (timescale=1.985).
Factorization parameters were as follows:
name: 49993_165
n: 142394464043090857513239492807664605923383657649420029924108397359976327605079156360506333452052514645110109
skew: 13936.08
# norm 1.35e+15
c5: 76800
c4: -4242870768
c3: 25375181134756
c2: 1030238403227851652
c1: 2250557392389371098067
c0: -5950154183708608868842952
# alpha -5.91
Y1: 362384350823
Y0: -284205511495603330335
# Murphy_E 1.34e-09
# M 109003927296022212451091712878426486494476931109986893486521952118176755395827872047646424692080971536718213
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: RFBsize:183072, AFBsize:182559, largePrimes:4445338 encountered
Relations: rels:4500132, finalFF:431528
Max relations in full relation-set: 28
Initial matrix: 365712 x 431528 with sparse part having weight 33237805.
Pruned matrix : 316128 x 318020 with weight 20984545.
Total sieving time: 14.64 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.00 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 16.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista) 

5×10167-7

c167

name 名前Robert Backstrom
date 日付September 29, 2007 13:49:42 UTC 2007 年 9 月 29 日 (土) 22 時 49 分 42 秒 (日本時間)
composite number 合成数
38461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461<167>
prime factors 素因数
27166347444900583109731812696436491851217550133<47>
1415778788059272495359858060016860902525618476647398886043545011620987173109239480930954828521246215935467936088821001417<121>
factorization results 素因数分解の結果
Number: n
N=38461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461
  ( 167 digits)
SNFS difficulty: 167 digits.
Divisors found:


Linear algebra by Msieve 1.26:

Sat Sep 29 23:21:09 2007  commencing square root phase
Sat Sep 29 23:21:09 2007  reading relations for dependency 1
Sat Sep 29 23:21:09 2007  read 257497 cycles
Sat Sep 29 23:21:10 2007  cycles contain 895173 unique relations
Sat Sep 29 23:22:06 2007  read 895173 relations
Sat Sep 29 23:22:16 2007  multiplying 1259610 relations
Sat Sep 29 23:29:41 2007  multiply complete, coefficients have about 37.13 milli on bits
Sat Sep 29 23:29:43 2007  initial square root is modulo 214451
Sat Sep 29 23:41:15 2007  prp47 factor: 27166347444900583109731812696436491851217550133
Sat Sep 29 23:41:15 2007  prp121 factor: 1415778788059272495359858060016860902525618476647398886043545011620987173109239480930954828521246215935467936088821001417
Sat Sep 29 23:41:15 2007  elapsed time 02:44:57


Version: GGNFS-0.77.1-20051202-athlon
Total time: 199.44 hours.
Scaled time: 238.33 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_4_9_166_3
n: 38461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461
type: snfs
skew: 1.00
deg: 5
c5: 500
c0: -7
m: 1000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3300000)
Primes: RFBsize:250150, AFBsize:249951, largePrimes:7696642 encountered
Relations: rels:7217894, finalFF:566646
Max relations in full relation-set: 28
Initial matrix: 500167 x 566646 with sparse part having weight 45760093.
Pruned matrix : 461435 x 463999 with weight 34043459.
Total sieving time: 198.86 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.6,2.6,100000
total time: 199.44 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

5×10169-7

c115

name 名前Sinkiti Sibata
date 日付September 24, 2007 00:52:25 UTC 2007 年 9 月 24 日 (月) 9 時 52 分 25 秒 (日本時間)
composite number 合成数
2806585885222215377350944994569312431165970817862559316770088936318837708911961250594258617432022173022491551741457<115>
prime factors 素因数
5744494079787571396717760190250240838888041<43>
488569723676345326019989715470508850328546498038944485790862224772950377<72>
factorization results 素因数分解の結果
Number: 49993_169
N=2806585885222215377350944994569312431165970817862559316770088936318837708911961250594258617432022173022491551741457
  ( 115 digits)
Divisors found:
 r1=5744494079787571396717760190250240838888041 (pp43)
 r2=488569723676345326019989715470508850328546498038944485790862224772950377 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 48.07 hours.
Scaled time: 95.70 units (timescale=1.991).
Factorization parameters were as follows:
name: 49993_169
n: 2806585885222215377350944994569312431165970817862559316770088936318837708911961250594258617432022173022491551741457
skew: 31373.54
# norm 3.83e+15
c5: 60840
c4: -720780132
c3: 72126305586899
c2: 1666649461314850199
c1: -116989157991344921484511
c0: 162800038608129701576075241
# alpha -6.02
Y1: 896315175217
Y0: -8566391803006571745272
# Murphy_E 5.55e-10
# M 2396840833491453209262727670434957761159698617278948458168476366281194806287209404389368742033257071680380836619726
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3050001)
Primes: RFBsize:250150, AFBsize:250437, largePrimes:7884281 encountered
Relations: rels:8065906, finalFF:781702
Max relations in full relation-set: 28
Initial matrix: 500667 x 781702 with sparse part having weight 75915276.
Pruned matrix : 319011 x 321578 with weight 50104378.
Total sieving time: 45.28 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 2.18 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 48.07 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

5×10170-7

c149

name 名前Jeff Gilchrist
date 日付April 12, 2009 21:26:20 UTC 2009 年 4 月 13 日 (月) 6 時 26 分 20 秒 (日本時間)
composite number 合成数
46367724273679128016875371673688962314473643710346808216784893586777456121488913841522626515505467594301778975907422007305297498445090108152886243063<149>
prime factors 素因数
36186346361901794734149614174823118926381921601<47>
1281359654549060281898606138184287341774636409267856035278076719876171866019239509683237360176741662263<103>
factorization results 素因数分解の結果
Number: 49993_170
N=46367724273679128016875371673688962314473643710346808216784893586777456121488913841522626515505467594301778975907422007305297498445090108152886243063
  ( 149 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=36186346361901794734149614174823118926381921601 (pp47)
 r2=1281359654549060281898606138184287341774636409267856035278076719876171866019239509683237360176741662263 (pp103)
Version: Msieve-1.41
Total time: 33.32 hours.
Scaled time: 122.77 units (timescale=3.685).
Factorization parameters were as follows:
n: 46367724273679128016875371673688962314473643710346808216784893586777456121488913841522626515505467594301778975907422007305297498445090108152886243063
m: 10000000000000000000000000000000000
deg: 5
c5: 5
c0: -7
skew: 1.07
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 860100 x 860348
Total sieving time: 32.47 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 33.32 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS & Msieve 1.41
execution environment 実行環境
Intel Core2 Q9550 @ 3.4GHz in Vista 64bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)

5×10172-7

c133

name 名前Wataru Sakai
date 日付February 23, 2010 14:23:39 UTC 2010 年 2 月 23 日 (火) 23 時 23 分 39 秒 (日本時間)
composite number 合成数
7934883439367071791244096014322729164743604690975075401271316559972811019291810441055577946398351070680595034190755898045627521008799<133>
prime factors 素因数
1049220657583822922144931610704447725575447<43>
1321882515473936693636905567562026061859047911<46>
5721117411828469879972374219096749181453994847<46>
factorization results 素因数分解の結果
Number: 49993_172
N=7934883439367071791244096014322729164743604690975075401271316559972811019291810441055577946398351070680595034190755898045627521008799
  ( 133 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=1049220657583822922144931610704447725575447
 r2=1321882515473936693636905567562026061859047911
 r3=5721117411828469879972374219096749181453994847
Version: 
Total time: 82.80 hours.
Scaled time: 166.60 units (timescale=2.012).
Factorization parameters were as follows:
n: 7934883439367071791244096014322729164743604690975075401271316559972811019291810441055577946398351070680595034190755898045627521008799
m: 10000000000000000000000000000000000
deg: 5
c5: 500
c0: -7
skew: 0.43
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 4850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 840085 x 840333
Total sieving time: 82.80 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,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 82.80 hours.
 --------- CPU info (if available) ----------
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 KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJuly 28, 2009 12:27:46 UTC 2009 年 7 月 28 日 (火) 21 時 27 分 46 秒 (日本時間)

5×10174-7

c159

name 名前Ignacio Santos
date 日付November 6, 2009 12:38:08 UTC 2009 年 11 月 6 日 (金) 21 時 38 分 8 秒 (日本時間)
composite number 合成数
214049174574575365805581376060199503058514198958035247503679069080324429338324460035489376300752092001338476663839616038201832417706699020583274339297180106307<159>
prime factors 素因数
46574391450747667692326738358784174396260537130314435096266571242987<68>
4595855531487340412820083355763538183249547281424390205839848914976852602041592456013124361<91>
factorization results 素因数分解の結果
Number: 49993_174
N=214049174574575365805581376060199503058514198958035247503679069080324429338324460035489376300752092001338476663839616038201832417706699020583274339297180106307
  ( 159 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=46574391450747667692326738358784174396260537130314435096266571242987 (pp68)
 r2=4595855531487340412820083355763538183249547281424390205839848914976852602041592456013124361 (pp91)
Version: Msieve v. 1.43
Total time: 56.13 hours.
Scaled time: 97.62 units (timescale=1.739).
Factorization parameters were as follows:
n: 214049174574575365805581376060199503058514198958035247503679069080324429338324460035489376300752092001338476663839616038201832417706699020583274339297180106307
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: -14
skew: 1.70
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 995237 x 995463
Total sieving time: 54.41 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 1.30 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 56.13 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)
351e61000Lionel DebrouxSeptember 25, 2009 10:48:02 UTC 2009 年 9 月 25 日 (金) 19 時 48 分 2 秒 (日本時間)
403e62336Wataru SakaiSeptember 27, 2009 08:43:07 UTC 2009 年 9 月 27 日 (日) 17 時 43 分 7 秒 (日本時間)

5×10177-7

c178

name 名前Jo Yeong Uk
date 日付September 18, 2007 07:26:41 UTC 2007 年 9 月 18 日 (火) 16 時 26 分 41 秒 (日本時間)
composite number 合成数
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<178>
prime factors 素因数
159222322628756092199652384637699<33>
composite cofactor 合成数の残り
31402631976786545252692940445059838167581831564267435779280007674035294043391904450027457606945967767231885984890715247474553329384690419652493907<146>
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 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993 (178 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2140185048
Step 1 took 29766ms
Step 2 took 19531ms
********** Factor found in step 2: 159222322628756092199652384637699
Found probable prime factor of 33 digits: 159222322628756092199652384637699
Composite cofactor 31402631976786545252692940445059838167581831564267435779280007674035294043391904450027457606945967767231885984890715247474553329384690419652493907 has 146 digits
execution environment 実行環境
Pentium 4 2.4GHz

c146

name 名前Ignacio Santos
date 日付October 21, 2010 11:52:04 UTC 2010 年 10 月 21 日 (木) 20 時 52 分 4 秒 (日本時間)
composite number 合成数
31402631976786545252692940445059838167581831564267435779280007674035294043391904450027457606945967767231885984890715247474553329384690419652493907<146>
prime factors 素因数
11215230047411972558617835334012139<35>
2799998916119693798296275330180442743551706577226519605642055223799286514993381634263980869789258245452491449913<112>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2953173804
Step 1 took 7052ms
Step 2 took 5179ms
********** Factor found in step 2: 11215230047411972558617835334012139
Found probable prime factor of 35 digits: 11215230047411972558617835334012139
Probable prime cofactor 2799998916119693798296275330180442743551706577226519605642055223799286514993381634263980869789258245452491449913 has 112 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 KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)

5×10179-7

c121

name 名前Sinkiti Sibata
date 日付September 27, 2007 15:35:16 UTC 2007 年 9 月 28 日 (金) 0 時 35 分 16 秒 (日本時間)
composite number 合成数
1383824215834715620070456110706078885338595809203545862722727074810567580733069553796012130255235581892164045691052381923<121>
prime factors 素因数
20824276942434306550878491316554921169577070969181605095403<59>
66452449689374424275673726430638274402626958940230091126916841<62>
factorization results 素因数分解の結果
Number: 49993_179
N=1383824215834715620070456110706078885338595809203545862722727074810567580733069553796012130255235581892164045691052381923
  ( 121 digits)
Divisors found:
 r1=20824276942434306550878491316554921169577070969181605095403 (pp59)
 r2=66452449689374424275673726430638274402626958940230091126916841 (pp62)
Version: GGNFS-0.77.1-20060513-k8
Total time: 84.55 hours.
Scaled time: 168.59 units (timescale=1.994).
Factorization parameters were as follows:
name: 49993_179
n: 1383824215834715620070456110706078885338595809203545862722727074810567580733069553796012130255235581892164045691052381923
skew: 50602.07
# norm 4.41e+16
c5: 37800
c4: 20128544688
c3: 731574065956501
c2: -49160751458878107328
c1: 392457585328640355756184
c0: -30872663122950055012866120
# alpha -5.82
Y1: 2624022091559
Y0: -129633393211373317821743
# Murphy_E 2.81e-10
# M 506787805364640852991178403337491309782409889508448185433954099888929241273787199158859515253510600449456791072798496402
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 4960001)
Primes: RFBsize:348513, AFBsize:348699, largePrimes:7743207 encountered
Relations: rels:7931207, finalFF:836390
Max relations in full relation-set: 28
Initial matrix: 697293 x 836390 with sparse part having weight 72523171.
Pruned matrix : 582401 x 585951 with weight 47666914.
Total sieving time: 78.91 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 4.74 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 84.55 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300  1.86GHz,  Windows Vista)

5×10180-7

c122

name 名前Sinkiti Sibata
date 日付July 11, 2008 12:42:03 UTC 2008 年 7 月 11 日 (金) 21 時 42 分 3 秒 (日本時間)
composite number 合成数
13574728261911441147955700905150374565535532034665629960565878514238403995814790116946394699688601479367104968379225106137<122>
prime factors 素因数
139863195581166062045796944539175077355000899883699<51>
97057186527914640161646341782139678769623110723336236535802668798096963<71>
factorization results 素因数分解の結果
Number: 49993_180
N=13574728261911441147955700905150374565535532034665629960565878514238403995814790116946394699688601479367104968379225106137
  ( 122 digits)
Divisors found:
 r1=139863195581166062045796944539175077355000899883699 (pp51)
 r2=97057186527914640161646341782139678769623110723336236535802668798096963 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 85.86 hours.
Scaled time: 67.31 units (timescale=0.784).
Factorization parameters were as follows:
name: 49993_180
n: 13574728261911441147955700905150374565535532034665629960565878514238403995814790116946394699688601479367104968379225106137
skew: 77051.65
# norm 4.21e+16
c5: 34020
c4: -13370552037
c3: -806276712066080
c2: 43437997914285937766
c1: 379528431266404362894308
c0: 12554215439813951821136969239
# alpha -6.11
Y1: 2279412482303
Y0: -209025725432362513645620
# Murphy_E 2.48e-10
# M 12408996827428119508990999514464920706883057660258542158125313393200473585265399403708299436417097179742052149520854139575
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 4960001)
Primes: RFBsize:348513, AFBsize:348568, largePrimes:7707588 encountered
Relations: rels:7855683, finalFF:809185
Max relations in full relation-set: 28
Initial matrix: 697159 x 809185 with sparse part having weight 68458102.
Pruned matrix : 604522 x 608071 with weight 46617823.
Total sieving time: 80.23 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 4.58 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 85.86 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

5×10181-7

c178

name 名前Robert Backstrom
date 日付September 28, 2008 01:38:56 UTC 2008 年 9 月 28 日 (日) 10 時 38 分 56 秒 (日本時間)
composite number 合成数
2798142033689630085623146230902680620068274665622026974089204768034025407129665901841177458167776596340030219933963848004924729979293748950696737366388717891320163411494767474397<178>
prime factors 素因数
5349247229374462217450139738261038814734050044867358474115901989701104007451021<79>
523090803940434651997243625173949810907397035980386998037130621336689305210083737010025418468122257<99>
factorization results 素因数分解の結果
Number: n
N=2798142033689630085623146230902680620068274665622026974089204768034025407129665901841177458167776596340030219933963848004924729979293748950696737366388717891320163411494767474397
  ( 178 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sun Sep 28 04:54:25 2008  prp79 factor: 5349247229374462217450139738261038814734050044867358474115901989701104007451021
Sun Sep 28 04:54:25 2008  prp99 factor: 523090803940434651997243625173949810907397035980386998037130621336689305210083737010025418468122257
Sun Sep 28 04:54:25 2008  elapsed time 05:08:16 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 42.26 hours.
Scaled time: 83.51 units (timescale=1.976).
Factorization parameters were as follows:
name: KA_4_9_180_3
n: 2798142033689630085623146230902680620068274665622026974089204768034025407129665901841177458167776596340030219933963848004924729979293748950696737366388717891320163411494767474397
type: snfs
skew: 0.67
deg: 5
c5: 50
c0: -7
m: 1000000000000000000000000000000000000
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 4500001)
Primes: RFBsize:539777, AFBsize:540740, largePrimes:13860963 encountered
Relations: rels:13460271, finalFF:1117649
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 41.94 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,181,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,52,52,2.5,2.5,100000
total time: 42.26 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 KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)

5×10183-7

c142

name 名前Dmitry Domanov
date 日付May 8, 2012 22:51:59 UTC 2012 年 5 月 9 日 (水) 7 時 51 分 59 秒 (日本時間)
composite number 合成数
3217599158693085813974054899630709906181651894627236631745035312383841465298619515326627491272544350164733114269611569547259824983270898625617<142>
prime factors 素因数
60788077003494749468171032128442862197591<41>
52931418746937886626330612835548449369785172611823746536642254837520869574955281864558723927082587287<101>
factorization results 素因数分解の結果
N=3217599158693085813974054899630709906181651894627236631745035312383841465298619515326627491272544350164733114269611569547259824983270898625617
  ( 142 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=60788077003494749468171032128442862197591 (pp41)
 r2=52931418746937886626330612835548449369785172611823746536642254837520869574955281864558723927082587287 (pp101)
Version: Msieve-1.40
Total time: 199.84 hours.
Scaled time: 388.90 units (timescale=1.946).
Factorization parameters were as follows:
n: 3217599158693085813974054899630709906181651894627236631745035312383841465298619515326627491272544350164733114269611569547259824983270898625617
m: 1000000000000000000000000000000000000
deg: 5
c5: 5000
c0: -7
skew: 0.27
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 7250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1388956 x 1389184
Total sieving time: 197.47 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.02 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 199.84 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 KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 21, 2010 11:55:35 UTC 2010 年 10 月 21 日 (木) 20 時 55 分 35 秒 (日本時間)
403e61110110Ignacio SantosOctober 21, 2010 11:55:35 UTC 2010 年 10 月 21 日 (木) 20 時 55 分 35 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:24:27 UTC 2012 年 2 月 4 日 (土) 15 時 24 分 27 秒 (日本時間)
4511e6432 / 422032Ignacio SantosOctober 21, 2010 11:55:35 UTC 2010 年 10 月 21 日 (木) 20 時 55 分 35 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 06:58:43 UTC 2012 年 2 月 21 日 (火) 15 時 58 分 43 秒 (日本時間)

5×10184-7

c156

name 名前Serge Batalov
date 日付February 14, 2009 04:44:25 UTC 2009 年 2 月 14 日 (土) 13 時 44 分 25 秒 (日本時間)
composite number 合成数
451195906959460594373278225269242520450921731860410616987371293756932650633099976993280403283243137572857895737747260684341088015052107574308028248553885847<156>
prime factors 素因数
80039443926543333426030393619033027817759<41>
5637169435779042518564618258869429332554961926507393446662237475156718430440794073039044584353258208612957374372233<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2736760227
Step 1 took 51483ms
Step 2 took 33748ms
********** Factor found in step 2: 80039443926543333426030393619033027817759
Found probable prime factor of 41 digits: 80039443926543333426030393619033027817759
Probable prime cofactor 5637169435779042518564618258869429332554961926507393446662237475156718430440794073039044584353258208612957374372233 has 115 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 KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)

5×10185-7

c180

name 名前matsui
date 日付November 19, 2008 04:40:55 UTC 2008 年 11 月 19 日 (水) 13 時 40 分 55 秒 (日本時間)
composite number 合成数
566719295998621738672131351931549376552102471916225286788299740102530855032070644960562004191455913205806379219083478885739188979349882292402221086264877798318203817194490128316583<180>
prime factors 素因数
3447997960776944762766553717092214661<37>
composite cofactor 合成数の残り
164361841986391913741776198251558299154755901642009269837282938194472792768129370249771101946669967081043628829357623935904923280758172290316603<144>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]

566719295998621738672131351931549376552102471916225286788299740102530855032070644960562004191455913205806379219083478885739188979349882292402221086264877798318203817194490128316583
=
3447997960776944762766553717092214661* 164361841986391913741776198251558299154755901642009269837282938194472792768129370249771101946669967081043628829357623935904923280758172290316603

c144

name 名前Dmitry Domanov
date 日付May 7, 2012 17:54:11 UTC 2012 年 5 月 8 日 (火) 2 時 54 分 11 秒 (日本時間)
composite number 合成数
164361841986391913741776198251558299154755901642009269837282938194472792768129370249771101946669967081043628829357623935904923280758172290316603<144>
prime factors 素因数
233621692171020562416865311787136260942753862325505405122647343767543<69>
703538444820750520147096109036700556894646527792538458130310761988491667421<75>
factorization results 素因数分解の結果
N=164361841986391913741776198251558299154755901642009269837282938194472792768129370249771101946669967081043628829357623935904923280758172290316603
  ( 144 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=233621692171020562416865311787136260942753862325505405122647343767543 (pp69)
 r2=703538444820750520147096109036700556894646527792538458130310761988491667421 (pp75)
Version: Msieve-1.40
Total time: 164.45 hours.
Scaled time: 307.85 units (timescale=1.872).
Factorization parameters were as follows:
n: 164361841986391913741776198251558299154755901642009269837282938194472792768129370249771101946669967081043628829357623935904923280758172290316603
m: 10000000000000000000000000000000000000
deg: 5
c5: 5
c0: -7
skew: 1.07
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 6910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1749476 x 1749713
Total sieving time: 160.57 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 3.33 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 164.45 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 KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 21, 2010 11:55:59 UTC 2010 年 10 月 21 日 (木) 20 時 55 分 59 秒 (日本時間)
403e61110110Ignacio SantosOctober 21, 2010 11:55:59 UTC 2010 年 10 月 21 日 (木) 20 時 55 分 59 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:24:37 UTC 2012 年 2 月 4 日 (土) 15 時 24 分 37 秒 (日本時間)
4511e6432 / 422032Ignacio SantosOctober 21, 2010 11:55:59 UTC 2010 年 10 月 21 日 (木) 20 時 55 分 59 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:07:20 UTC 2012 年 2 月 21 日 (火) 16 時 7 分 20 秒 (日本時間)

5×10187-7

c165

name 名前Dmitry Domanov
date 日付May 7, 2012 17:53:24 UTC 2012 年 5 月 8 日 (火) 2 時 53 分 24 秒 (日本時間)
composite number 合成数
181392656464666725629886675234629682794694000644566293382929704796239848545316099452109674860232622255558936161476288027573393291607625961419218254512862776784050061<165>
prime factors 素因数
440298891180372239221064503353215364383589189605948657905250879160827653<72>
411976182766169308926572320832632861857167076229665251187818305510953397414771750597604527337<93>
factorization results 素因数分解の結果
N=181392656464666725629886675234629682794694000644566293382929704796239848545316099452109674860232622255558936161476288027573393291607625961419218254512862776784050061
  ( 165 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=440298891180372239221064503353215364383589189605948657905250879160827653 (pp72)
 r2=411976182766169308926572320832632861857167076229665251187818305510953397414771750597604527337 (pp93)
Version: Msieve-1.40
Total time: 209.47 hours.
Scaled time: 412.44 units (timescale=1.969).
Factorization parameters were as follows:
n: 181392656464666725629886675234629682794694000644566293382929704796239848545316099452109674860232622255558936161476288027573393291607625961419218254512862776784050061
m: 10000000000000000000000000000000000000
deg: 5
c5: 500
c0: -7
skew: 0.43
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 7900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1739473 x 1739697
Total sieving time: 205.75 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.30 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 209.47 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 21, 2010 12:31:55 UTC 2010 年 10 月 21 日 (木) 21 時 31 分 55 秒 (日本時間)
403e61110110Ignacio SantosOctober 21, 2010 12:31:55 UTC 2010 年 10 月 21 日 (木) 21 時 31 分 55 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:24:46 UTC 2012 年 2 月 4 日 (土) 15 時 24 分 46 秒 (日本時間)
4511e6432 / 422032Ignacio SantosOctober 21, 2010 12:31:55 UTC 2010 年 10 月 21 日 (木) 21 時 31 分 55 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:07:28 UTC 2012 年 2 月 21 日 (火) 16 時 7 分 28 秒 (日本時間)

5×10188-7

c136

name 名前Serge Batalov
date 日付August 6, 2008 22:12:04 UTC 2008 年 8 月 7 日 (木) 7 時 12 分 4 秒 (日本時間)
composite number 合成数
1025589078464301940945954774562106238608811308791032332291252123182296032718093813837116658068480240693568979035195502731829672285320493<136>
prime factors 素因数
1125757121291323820335846959911<31>
7781904029500380045551718378173661286980891261937589<52>
117069244032165610046166201324768623892290569937890367<54>
factorization results 素因数分解の結果
#ECM, then gnfs/Msieve
#
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=1218311065
Step 1 took 6562ms
Step 2 took 5173ms
********** Factor found in step 2: 1125757121291323820335846959911
Found probable prime factor of 31 digits: 1125757121291323820335846959911
Composite cofactor 911021621864472880075023900946638173443125657307892780789019050463547543440983821891566758943879478305163 has 105 digits
#
Number: 49993_188
N=911021621864472880075023900946638173443125657307892780789019050463547543440983821891566758943879478305163
  ( 105 digits)
Divisors found:
 r1=7781904029500380045551718378173661286980891261937589
 r2=117069244032165610046166201324768623892290569937890367
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.734).
Factorization parameters were as follows:
name: 49993_188
n: 911021621864472880075023900946638173443125657307892780789019050463547543440983821891566758943879478305163
skew: 25126.52
# norm 1.03e+14
c5: 3000
c4: -184008800
c3: -4855436126528
c2: 67822196941694137
c1: 1629442699164998766054
c0: -1737491899063811738070735
# alpha -5.76
Y1: 37648389859
Y0: -197916726587171231828
# Murphy_E 2.09e-09
# M 765710024518842781312326828781050795290290399363406343051939875665884698804336614622533704295513648569450
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2000001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 254568 x 254816
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 5.1 hours.
software ソフトウェア
GMP-ECM 6.2.1+pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)

5×10190-7

c188

name 名前Kenji Ibusuki
date 日付July 25, 2008 11:53:33 UTC 2008 年 7 月 25 日 (金) 20 時 53 分 33 秒 (日本時間)
composite number 合成数
61199510403916768665850673194614443084455324357405140758873929008567931456548347613219094247246022031823745410036719706242350061199510403916768665850673194614443084455324357405140758873929<188>
prime factors 素因数
1765787545312409783860474993038088441<37>
1221634377469420523013631539626062841035324877347830895794628620683<67>
28370582518084984958701082392541132842482155696727816580550567234311865111305350903443<86>
factorization results 素因数分解の結果
Number: 49993_190
N=61199510403916768665850673194614443084455324357405140758873929008567931456548347613219094247246022031823745410036719706242350061199510403916768665850673194614443084455324357405140758873929
  ( 188 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=1765787545312409783860474993038088441 (pp37)
 r2=1221634377469420523013631539626062841035324877347830895794628620683 (pp67)
 r3=28370582518084984958701082392541132842482155696727816580550567234311865111305350903443 (pp86)
Version: GGNFS-0.77.1
Total time: 476.75 hours.
Scaled time: 1380.66 units (timescale=2.896).
Factorization parameters were as follows:
n: 61199510403916768665850673194614443084455324357405140758873929008567931456548347613219094247246022031823745410036719706242350061199510403916768665850673194614443084455324357405140758873929
m: 100000000000000000000000000000000000000
type: snfs
skew: 1.070
c0: -7
c5: 5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 29/29
Sieved special-q in [3700000, 11800001)
Relations: rels:18218529, finalFF:1213632
Initial matrix: 1003163 x 1213632 with sparse part having weight 169464967.
Pruned matrix : 952997 x 958076 with weight 121817026.
Total sieving time: 462.13 hours.
Total relation processing time: 0.88 hours.
Matrix solve time: 13.50 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,7400000,7400000,29,29,51,51,2.6,2.6,100000
total time: 476.75 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS-0.77.1
execution environment 実行環境
Core 2 Quad Q6700 (2.66GHz), Windows XP and Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)

5×10191-7

c161

composite cofactor 合成数の残り
13981193998111779895965369977288112002061085578160558577168953517644453903588640945053128157782753534151657175875281748418532352726000960730723590556311029176327<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 21, 2010 14:03:32 UTC 2010 年 10 月 21 日 (木) 23 時 3 分 32 秒 (日本時間)
403e61110110Ignacio SantosOctober 21, 2010 14:03:32 UTC 2010 年 10 月 21 日 (木) 23 時 3 分 32 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:24:57 UTC 2012 年 2 月 4 日 (土) 15 時 24 分 57 秒 (日本時間)
4511e6432 / 337832Ignacio SantosOctober 21, 2010 14:03:32 UTC 2010 年 10 月 21 日 (木) 23 時 3 分 32 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:07:36 UTC 2012 年 2 月 21 日 (火) 16 時 7 分 36 秒 (日本時間)
5043e6240 / 7413Dmitry DomanovJune 9, 2012 08:57:53 UTC 2012 年 6 月 9 日 (土) 17 時 57 分 53 秒 (日本時間)

5×10192-7

c132

name 名前Sinkiti Sibata
date 日付April 27, 2011 10:11:14 UTC 2011 年 4 月 27 日 (水) 19 時 11 分 14 秒 (日本時間)
composite number 合成数
138940060255352917497510962318998533818910635413057695065614809172817655873731032561767948732767643562656642737775501722271172720487<132>
prime factors 素因数
45018863838161056023730035329555292736592579642705360119597<59>
3086263144152870796119915710988019746086030182605947924651521285070550371<73>
factorization results 素因数分解の結果
Number: 49993_192
N=138940060255352917497510962318998533818910635413057695065614809172817655873731032561767948732767643562656642737775501722271172720487
  ( 132 digits)
Divisors found:
 r1=45018863838161056023730035329555292736592579642705360119597 (pp59)
 r2=3086263144152870796119915710988019746086030182605947924651521285070550371 (pp73)
Version: Msieve v. 1.42
Total time: 10.68 hours.
Scaled time: 8.50 units (timescale=0.796).
Factorization parameters were as follows:
name: 49993_192
# Murphy_E = 6.379343e-11, selected by Jeff Gilchrist
n: 138940060255352917497510962318998533818910635413057695065614809172817655873731032561767948732767643562656642737775501722271172720487
Y0: -20847899238197746041629994
Y1: 298372122554021
c0: 2262453481553201622105382465225
c1: 6332147537710657091035043227
c2: 33123365142104146596121
c3: -5679059463558243
c4: -71462470810
c5: 35280
skew: 621920.21
type: gnfs
# selected mechanically
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5250000, 10950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1639455 x 1639687
Total sieving time: 0.00 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 9.43 hours.
Time per square root: 1.03 hours.
Prototype def-par.txt line would be:
gnfs,131,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,10500000,10500000,28,28,54,54,2.6,2.6,100000
total time: 10.68 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.29 BogoMIPS (lpj=1860648)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860574)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 7 days.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiApril 20, 2009 13:06:22 UTC 2009 年 4 月 20 日 (月) 22 時 6 分 22 秒 (日本時間)
4511e63962Wataru SakaiJune 7, 2010 08:15:42 UTC 2010 年 6 月 7 日 (月) 17 時 15 分 42 秒 (日本時間)

5×10194-7

c174

name 名前Serge Batalov
date 日付September 30, 2008 16:23:21 UTC 2008 年 10 月 1 日 (水) 1 時 23 分 21 秒 (日本時間)
composite number 合成数
115571011071145061616724468680736119940490938062455003405608003309382081398445687355753789396042574235819645469824733009993894639929429239071593210787705649071709688403014051<174>
prime factors 素因数
132786590634016095535035300329071<33>
870351520581469776388414556682719376942987278061824153278788586760800351254966171514056538147644847695340761111994287303596157877520893178381<141>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2621838758
Step 1 took 99259ms
Step 2 took 29938ms
********** Factor found in step 2: 132786590634016095535035300329071
Found probable prime factor of 33 digits: 132786590634016095535035300329071
Probable prime cofactor 870351520581469776388414556682719376942987278061824153278788586760800351254966171514056538147644847695340761111994287303596157877520893178381 has 141 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 KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)

5×10195-7

c194

name 名前Wataru Sakai
date 日付February 28, 2009 04:09:40 UTC 2009 年 2 月 28 日 (土) 13 時 9 分 40 秒 (日本時間)
composite number 合成数
48543689320388349514563106796116504854368932038834951456310679611650485436893203883495145631067961165048543689320388349514563106796116504854368932038834951456310679611650485436893203883495145631<194>
prime factors 素因数
1538107507489534601481055687712361944471<40>
31560660801675883119225896760035021175119702951582155400620760556441646547154939591760010210551656217315637522354907153165554249169443274017081188872379961<155>
factorization results 素因数分解の結果
Number: 49993_195
N=48543689320388349514563106796116504854368932038834951456310679611650485436893203883495145631067961165048543689320388349514563106796116504854368932038834951456310679611650485436893203883495145631
  ( 194 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=1538107507489534601481055687712361944471
 r2=31560660801675883119225896760035021175119702951582155400620760556441646547154939591760010210551656217315637522354907153165554249169443274017081188872379961
Version: 
Total time: 490.56 hours.
Scaled time: 960.02 units (timescale=1.957).
Factorization parameters were as follows:
n: 48543689320388349514563106796116504854368932038834951456310679611650485436893203883495145631067961165048543689320388349514563106796116504854368932038834951456310679611650485436893203883495145631
m: 1000000000000000000000000000000000000000
deg: 5
c5: 5
c0: -7
skew: 1.07
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6400000, 12100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2209599 x 2209846
Total sieving time: 490.56 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,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 490.56 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 KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)

5×10198-7

c152

composite cofactor 合成数の残り
31682963312236411792874062813533735164714226555752487704824049205370107915864534936091146346207070584552388083685174823367458546113341563417366968478241<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 18, 2007 09:00:00 UTC 2007 年 9 月 18 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 21, 2010 14:26:18 UTC 2010 年 10 月 21 日 (木) 23 時 26 分 18 秒 (日本時間)
403e61110110Ignacio SantosOctober 21, 2010 14:26:18 UTC 2010 年 10 月 21 日 (木) 23 時 26 分 18 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:25:09 UTC 2012 年 2 月 4 日 (土) 15 時 25 分 9 秒 (日本時間)
4511e6432 / 309732Ignacio SantosOctober 21, 2010 14:26:18 UTC 2010 年 10 月 21 日 (木) 23 時 26 分 18 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:07:47 UTC 2012 年 2 月 21 日 (火) 16 時 7 分 47 秒 (日本時間)
5043e6320 / 7413Dmitry DomanovJune 9, 2012 11:19:11 UTC 2012 年 6 月 9 日 (土) 20 時 19 分 11 秒 (日本時間)

5×10201-7

c171

name 名前Dmitry Domanov
date 日付June 3, 2012 07:30:17 UTC 2012 年 6 月 3 日 (日) 16 時 30 分 17 秒 (日本時間)
composite number 合成数
104361564777820501049132072020840665964897584769669848612868157770187983430295771887062104019320042608028302062159266094856631535161150494515034344202256929156817390808601<171>
prime factors 素因数
1518503793338872744985869852705898501743<40>
composite cofactor 合成数の残り
68726574958598696064919600210102846935858122053601071600601658562738207158767628086290099604769389318337313035495807508510228514807<131>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4015262803
Step 1 took 289864ms
Step 2 took 81548ms
********** Factor found in step 2: 1518503793338872744985869852705898501743
Found probable prime factor of 40 digits: 1518503793338872744985869852705898501743
Composite cofactor 68726574958598696064919600210102846935858122053601071600601658562738207158767628086290099604769389318337313035495807508510228514807 has 131 digits

c131

name 名前Markus Tervooren
date 日付June 11, 2012 16:17:11 UTC 2012 年 6 月 12 日 (火) 1 時 17 分 11 秒 (日本時間)
composite number 合成数
68726574958598696064919600210102846935858122053601071600601658562738207158767628086290099604769389318337313035495807508510228514807<131>
prime factors 素因数
12125035635684081964236968067949912665227817245621183077109029<62>
5668154471755596932749342581073718973900179617214711483800825674312683<70>
factorization results 素因数分解の結果
Msieve v. 1.50 (SVN exported)
Mon Jun 11 08:03:20 2012
random seeds: 005ff005 3743e3db
factoring 68726574958598696064919600210102846935858122053601071600601658562738207158767628086290099604769389318337313035495807508510228514807 (131 digits)
searching for 15-digit factors
commencing number field sieve (131-digit input)
R0: -31840534735983604347003044
R1: 60379832083621
A0: 5521391213801819378126176450035
A1: 11377444189355578110631758
A2: -1124388245302922613855
A3: 3215854363361816
A4: 9288209746
A5: 2100
skew 1.00, size 1.586e-12, alpha -5.657, combined = 1.399e-12 rroots = 5

commencing relation filtering
estimated available RAM is 16079.7 MB
commencing duplicate removal, pass 1
read 10M relations

read 20M relations
read 30M relations
found 5039498 hash collisions in 32245880 relations
added 121206 free relations
commencing duplicate removal, pass 2
found 4253472 duplicates and 28113614 unique relations
memory use: 165.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 874.2 MB
keeping 23732384 ideals with weight <= 200, target excess is 151469
commencing in-memory singleton removal
begin with 28113614 relations and 23732384 unique ideals
reduce to 19083322 relations and 13841357 ideals in 11 passes
max relations containing the same ideal: 159
removing 3658269 relations and 2658269 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 15425053 relations and 13841357 unique ideals
reduce to 15076242 relations and 10814385 ideals in 7 passes
max relations containing the same ideal: 134
removing 2809493 relations and 1809493 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 12266749 relations and 10814385 unique ideals
reduce to 11978132 relations and 8698230 ideals in 7 passes
max relations containing the same ideal: 117
removing 2507724 relations and 1507724 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 9470408 relations and 8698230 unique ideals
reduce to 9150985 relations and 6845224 ideals in 7 passes
max relations containing the same ideal: 100
removing 2410395 relations and 1410395 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 6740590 relations and 6845224 unique ideals
reduce to 6405000 relations and 5065181 ideals in 7 passes
max relations containing the same ideal: 80
removing 2331985 relations and 1331985 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 4073015 relations and 5065181 unique ideals
reduce to 3675297 relations and 3282718 ideals in 8 passes
max relations containing the same ideal: 52
removing 703000 relations and 486126 ideals in 216874 cliques
commencing in-memory singleton removal
begin with 2972297 relations and 3282718 unique ideals
reduce to 2871564 relations and 2689532 ideals in 6 passes
max relations containing the same ideal: 42
relations with 0 large ideals: 519
relations with 1 large ideals: 4612
relations with 2 large ideals: 51345
relations with 3 large ideals: 233404
relations with 4 large ideals: 565942
relations with 5 large ideals: 801676
relations with 6 large ideals: 700622
relations with 7+ large ideals: 513444
commencing 2-way merge
reduce to 2022813 relation sets and 1840781 unique ideals
commencing full merge
memory use: 220.2 MB
found 1044839 cycles, need 1014981
weight of 1014981 cycles is about 71243833 (70.19/cycle)
distribution of cycle lengths:
1 relations: 71825
2 relations: 109236
3 relations: 128106
4 relations: 125830
5 relations: 118003
6 relations: 102710
7 relations: 86750
8 relations: 71220
9 relations: 56031
10+ relations: 145270
heaviest cycle: 17 relations
commencing cycle optimization
start with 5763045 relations
pruned 211846 relations
memory use: 176.7 MB
distribution of cycle lengths:
1 relations: 71825
2 relations: 112350
3 relations: 134304
4 relations: 131622
5 relations: 123368
6 relations: 106059
7 relations: 88667
8 relations: 70671
9 relations: 54464
10+ relations: 121651
heaviest cycle: 17 relations
RelProcTime: 1103

commencing linear algebra
read 1014981 cycles
cycles contain 2758070 unique relations
read 2758070 relations
using 20 quadratic characters above 268431800
building initial matrix
memory use: 367.5 MB
read 1014981 cycles
matrix is 1014803 x 1014981 (300.6 MB) with weight 95334070 (93.93/col)
sparse part has weight 67636857 (66.64/col)
filtering completed in 2 passes
matrix is 1014292 x 1014470 (300.5 MB) with weight 95309648 (93.95/col)
sparse part has weight 67626611 (66.66/col)
matrix starts at (0, 0)
matrix is 1014292 x 1014470 (300.5 MB) with weight 95309648 (93.95/col)
sparse part has weight 67626611 (66.66/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 1014244 x 1014470 (291.0 MB) with weight 75409163 (74.33/col)
sparse part has weight 66135272 (65.19/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (4 threads)
memory use: 250.7 MB
linear algebra at 0.2%, ETA 0h44m1014470 dimensions (0.2%, ETA 0h44m)    
checkpointing every 1220000 dimensions70 dimensions (0.2%, ETA 0h49m)    
linear algebra completed 1014242 of 1014470 dimensions (100.0%, ETA 0h 0m)      
lanczos halted after 16041 iterations (dim = 1014242)
recovered 29 nontrivial dependencies
BLanczosTime: 3191

commencing square root phase
reading relations for dependency 1
read 506780 cycles
cycles contain 1377962 unique relations
read 1377962 relations
multiplying 1377962 relations
multiply complete, coefficients have about 61.83 million bits
initial square root is modulo 753722059
GCD is 1, no factor found
reading relations for dependency 2
read 507522 cycles
cycles contain 1379260 unique relations
read 1379260 relations
multiplying 1379260 relations
multiply complete, coefficients have about 61.89 million bits
initial square root is modulo 768235003
GCD is N, no factor found
reading relations for dependency 3
read 506984 cycles
cycles contain 1377756 unique relations
read 1377756 relations
multiplying 1377756 relations
multiply complete, coefficients have about 61.82 million bits
initial square root is modulo 750946289
sqrtTime: 747
prp62 factor: 12125035635684081964236968067949912665227817245621183077109029
prp70 factor: 5668154471755596932749342581073718973900179617214711483800825674312683
elapsed time 01:24:02

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:27:38 UTC 2012 年 2 月 4 日 (土) 15 時 27 分 38 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 21, 2012 07:07:55 UTC 2012 年 2 月 21 日 (火) 16 時 7 分 55 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovJune 2, 2012 22:46:00 UTC 2012 年 6 月 3 日 (日) 7 時 46 分 0 秒 (日本時間)

5×10202-7

c171

composite cofactor 合成数の残り
405231954272733953497210627679009154656980385574222762291283702257451743364343469340653464984950396891878016006251109515240799742501385528611567059855023664536574668938483<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:27:50 UTC 2012 年 2 月 4 日 (土) 15 時 27 分 50 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 21, 2012 07:08:03 UTC 2012 年 2 月 21 日 (火) 16 時 8 分 3 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovJune 2, 2012 22:46:36 UTC 2012 年 6 月 3 日 (日) 7 時 46 分 36 秒 (日本時間)

5×10204-7

c141

name 名前Erik Branger
date 日付September 28, 2016 21:12:56 UTC 2016 年 9 月 29 日 (木) 6 時 12 分 56 秒 (日本時間)
composite number 合成数
960489780554009099928424231241659375781213504799587615452807082427191761591423001555821485281065231771851858641816178570347660900161970223523<141>
prime factors 素因数
123069990651978147065149342934123720311597766370806686714457<60>
7804419058339879798089296429188545497512052209945088263856450884206084007184002139<82>
factorization results 素因数分解の結果
Number: 49993_204
N = 960489780554009099928424231241659375781213504799587615452807082427191761591423001555821485281065231771851858641816178570347660900161970223523 (141 digits)
Divisors found:
r1=123069990651978147065149342934123720311597766370806686714457 (pp60)
r2=7804419058339879798089296429188545497512052209945088263856450884206084007184002139 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 238.07 hours.
Factorization parameters were as follows:
# Murphy_E = 1.716e-11, selected by Maksym Voznyy
# expecting poly E from 1.79e-011 to > 2.06e-011; sieved all c5<2040
n: 960489780554009099928424231241659375781213504799587615452807082427191761591423001555821485281065231771851858641816178570347660900161970223523
Y0: -3871727384536830096348982064
Y1: 59811737309569
c0: -1348264355950547335065086075247639597
c1: 740050230332765984950795851207
c2: 429260447233870400782269
c3: -157478709394599215
c4: -28990450696
c5: 1104
skew: 4477331.75
type: gnfs
# selected mechanically
rlim: 19400000
alim: 19400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23244066
Relations: 3860696 relations
Pruned matrix : 2393427 x 2393651
Polynomial selection time: 0.00 hours.
Total sieving time: 234.07 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.92 hours.
time per square root: 0.90 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19400000,19400000,28,28,56,56,2.6,2.6,100000
total time: 238.07 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 28, 2012 23:58:06 UTC 2012 年 1 月 29 日 (日) 8 時 58 分 6 秒 (日本時間)
403e61110110Ignacio SantosJanuary 28, 2012 23:58:06 UTC 2012 年 1 月 29 日 (日) 8 時 58 分 6 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:30:29 UTC 2012 年 2 月 4 日 (土) 15 時 30 分 29 秒 (日本時間)
4511e6443232Ignacio SantosJanuary 28, 2012 23:58:06 UTC 2012 年 1 月 29 日 (日) 8 時 58 分 6 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:08:14 UTC 2012 年 2 月 21 日 (火) 16 時 8 分 14 秒 (日本時間)
4000Wataru SakaiApril 7, 2012 08:46:22 UTC 2012 年 4 月 7 日 (土) 17 時 46 分 22 秒 (日本時間)

5×10206-7

c193

name 名前Warut Roonguthai
date 日付January 27, 2012 13:48:22 UTC 2012 年 1 月 27 日 (金) 22 時 48 分 22 秒 (日本時間)
composite number 合成数
5901992570644575838226277241476251701277684231097889840385045734774125045585635920975476726339609618851346924032398256902589824057722455174009111327019752826777871367063694317671858576913862887<193>
prime factors 素因数
3232186827471654270907643251747<31>
composite cofactor 合成数の残り
1826006009455013568485098490521447145369752502785782747370670980832921164469090039330147808330095264989325582803177602665241424477943995398464212809102679245824621<163>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1759291480
Step 1 took 10094ms
Step 2 took 5834ms
********** Factor found in step 2: 3232186827471654270907643251747
Found probable prime factor of 31 digits: 3232186827471654270907643251747
Composite cofactor 1826006009455013568485098490521447145369752502785782747370670980832921164469090039330147808330095264989325582803177602665241424477943995398464212809102679245824621 has 163 digits
software ソフトウェア
GMP-ECM 6.3

c163

name 名前Dmitry Domanov
date 日付February 3, 2012 06:41:09 UTC 2012 年 2 月 3 日 (金) 15 時 41 分 9 秒 (日本時間)
composite number 合成数
1826006009455013568485098490521447145369752502785782747370670980832921164469090039330147808330095264989325582803177602665241424477943995398464212809102679245824621<163>
prime factors 素因数
5769111871120301707080555733<28>
composite cofactor 合成数の残り
316514231349169891342275793363394614370921336383946400146356100946037817611756336834981924360285060078617695106666622072845187284212537<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3875395215
Step 1 took 19787ms
Step 2 took 8033ms
********** Factor found in step 2: 5769111871120301707080555733
Found probable prime factor of 28 digits: 5769111871120301707080555733

c135

name 名前Erik Branger
date 日付April 22, 2012 09:17:48 UTC 2012 年 4 月 22 日 (日) 18 時 17 分 48 秒 (日本時間)
composite number 合成数
316514231349169891342275793363394614370921336383946400146356100946037817611756336834981924360285060078617695106666622072845187284212537<135>
prime factors 素因数
15745873927861425995081127569046836292096769801283757418801<59>
20101407695708525166795503296730610054519299772642017995391944818005857996937<77>
factorization results 素因数分解の結果
Number: 49993_206
N = 316514231349169891342275793363394614370921336383946400146356100946037817611756336834981924360285060078617695106666622072845187284212537 (135 digits)
Divisors found:
r1=15745873927861425995081127569046836292096769801283757418801 (pp59)
r2=20101407695708525166795503296730610054519299772642017995391944818005857996937 (pp77)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 202.90 hours.
Factorization parameters were as follows:
# Murphy_E = 4.821e-11, selected by Erik Branger
n: 316514231349169891342275793363394614370921336383946400146356100946037817611756336834981924360285060078617695106666622072845187284212537
Y0: -113586699667323426936165309
Y1: 310411714351309
c0: 58901005046589000094674704873960
c1: -608755658325178191598600526
c2: -3373772312607446986385
c3: 2354935422553580
c4: 5402912244
c5: 16740
skew: 410790.51
type: gnfs
# selected mechanically
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6450000, 14950000)
Relations: 20650710
Relations in full relation-set: 3259380 relations
Pruned matrix : 1950166 x 1950395
Polynomial selection time: 0.00 hours.
Total sieving time: 198.55 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.91 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,12900000,12900000,28,28,54,54,2.6,2.6,100000
total time: 202.90 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:30:39 UTC 2012 年 2 月 4 日 (土) 15 時 30 分 39 秒 (日本時間)
4511e64400400Dmitry DomanovFebruary 21, 2012 07:08:24 UTC 2012 年 2 月 21 日 (火) 16 時 8 分 24 秒 (日本時間)
4000Wataru SakaiApril 12, 2012 05:56:56 UTC 2012 年 4 月 12 日 (木) 14 時 56 分 56 秒 (日本時間)

5×10209-7

c209

name 名前Robert Backstrom
date 日付June 13, 2012 07:33:13 UTC 2012 年 6 月 13 日 (水) 16 時 33 分 13 秒 (日本時間)
composite number 合成数
38461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461<209>
prime factors 素因数
89171610615152753498621933440249911179527514632516257019<56>
431320441519565524245434958225862404133578229430725953398402330143211592335882871664578299736205864016729862877619114206408212557799637184931676926702919<153>
factorization results 素因数分解の結果
Number: n
N=38461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461
  ( 209 digits)
SNFS difficulty: 209 digits.
Divisors found:

Wed Jun 13 17:28:44 2012  prp56 factor: 89171610615152753498621933440249911179527514632516257019
Wed Jun 13 17:28:44 2012  prp153 factor: 431320441519565524245434958225862404133578229430725953398402330143211592335882871664578299736205864016729862877619114206408212557799637184931676926702919
Wed Jun 13 17:28:44 2012  elapsed time 08:06:14 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
name: KA_49993_209
n: 38461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461
m: 500000000000000000000000000000000000000000
#  c209, diff: 209.7
skew: 0.85
deg: 5
c5: 16
c0: -7
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 28
lpba: 28
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 57/57
Sieved  special-q in [100000, 37600000)
Primes: RFBsize:1389261, AFBsize:1390576, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7294284 hash collisions in 42582782 relations (36253068 unique)
Msieve: matrix is 2308827 x 2309053 (652.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,28,28,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e621101000Serge BatalovJanuary 29, 2012 09:48:46 UTC 2012 年 1 月 29 日 (日) 18 時 48 分 46 秒 (日本時間)
110Ignacio SantosJanuary 29, 2012 11:23:31 UTC 2012 年 1 月 29 日 (日) 20 時 23 分 31 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:30:52 UTC 2012 年 2 月 4 日 (土) 15 時 30 分 52 秒 (日本時間)
4511e643232Ignacio SantosJanuary 29, 2012 11:23:31 UTC 2012 年 1 月 29 日 (日) 20 時 23 分 31 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:08:34 UTC 2012 年 2 月 21 日 (火) 16 時 8 分 34 秒 (日本時間)
5043e61020 / 7376520Dmitry DomanovMay 18, 2012 21:43:37 UTC 2012 年 5 月 19 日 (土) 6 時 43 分 37 秒 (日本時間)
500Dmitry DomanovJune 9, 2012 08:48:41 UTC 2012 年 6 月 9 日 (土) 17 時 48 分 41 秒 (日本時間)

5×10210-7

c185

composite cofactor 合成数の残り
39203605911893320056286321630414365714015796207660591209365628912841809831357891823823103687702854856665420253555027973206466994777468720059013289551946033901373944945234967461668036293<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:31:01 UTC 2012 年 2 月 4 日 (土) 15 時 31 分 1 秒 (日本時間)
4511e6400 / 2289Dmitry DomanovFebruary 21, 2012 07:08:43 UTC 2012 年 2 月 21 日 (火) 16 時 8 分 43 秒 (日本時間)
5043e6560 / 7425Dmitry DomanovMay 18, 2012 21:44:11 UTC 2012 年 5 月 19 日 (土) 6 時 44 分 11 秒 (日本時間)

5×10211-7

c199

composite cofactor 合成数の残り
3642381018246166041213676081195350283549807361676482889201574774354939140963028522404408835515152149691012560675786935944573777737150210932281552691107159123269570173530942152938871029061416671401489<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:31:11 UTC 2012 年 2 月 4 日 (土) 15 時 31 分 11 秒 (日本時間)
4511e6400 / 1377Dmitry DomanovFebruary 21, 2012 07:08:52 UTC 2012 年 2 月 21 日 (火) 16 時 8 分 52 秒 (日本時間)
5043e6820 / 7425520Dmitry DomanovMay 18, 2012 21:44:42 UTC 2012 年 5 月 19 日 (土) 6 時 44 分 42 秒 (日本時間)
300Dmitry DomanovJune 9, 2012 08:50:52 UTC 2012 年 6 月 9 日 (土) 17 時 50 分 52 秒 (日本時間)

5×10212-7

c210

name 名前Bob Backstrom
date 日付August 20, 2017 19:49:21 UTC 2017 年 8 月 21 日 (月) 4 時 49 分 21 秒 (日本時間)
composite number 合成数
866551126516464471403812824956672443674176776429809358752166377816291161178509532062391681109185441941074523396880415944540727902946273830155979202772963604852686308492201039861351819757365684575389948006932409<210>
prime factors 素因数
8826184800989930516510146430815129719675756106635869401778752256259819251509<76>
98179581104994935973898413607995892900460394668454549874848904629471748133281047489513555464856662357661408967711579021885575834170101<134>
factorization results 素因数分解の結果
Number: n
N=866551126516464471403812824956672443674176776429809358752166377816291161178509532062391681109185441941074523396880415944540727902946273830155979202772963604852686308492201039861351819757365684575389948006932409
  ( 210 digits)
SNFS difficulty: 212 digits.
Divisors found:

Mon Aug 21 05:40:47 2017  prp76 factor: 8826184800989930516510146430815129719675756106635869401778752256259819251509
Mon Aug 21 05:40:47 2017  prp134 factor: 98179581104994935973898413607995892900460394668454549874848904629471748133281047489513555464856662357661408967711579021885575834170101
Mon Aug 21 05:40:47 2017  elapsed time 14:08:00 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.824).
Factorization parameters were as follows:
#
# 5x10^212-7 49(211)3
#
n: 866551126516464471403812824956672443674176776429809358752166377816291161178509532062391681109185441941074523396880415944540727902946273830155979202772963604852686308492201039861351819757365684575389948006932409
m: 100000000000000000000000000000000000
deg: 6
c6: 500
c0: -7
skew: 0.49
# Murphy_E = 4.139e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 46100000)
Primes: RFBsize:1565927, AFBsize:1565341,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12280392 hash collisions in 69018699 relations (57918005 unique)
Msieve: matrix is 3373752 x 3373978 (954.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 13hrs 41min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 33sec.

Prototype def-par.txt line would be:
snfs,212,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 29, 2012 11:24:01 UTC 2012 年 1 月 29 日 (日) 20 時 24 分 1 秒 (日本時間)
403e62126110Ignacio SantosJanuary 29, 2012 11:24:01 UTC 2012 年 1 月 29 日 (日) 20 時 24 分 1 秒 (日本時間)
2016Serge BatalovJanuary 29, 2012 20:05:47 UTC 2012 年 1 月 30 日 (月) 5 時 5 分 47 秒 (日本時間)
4511e643232Ignacio SantosJanuary 29, 2012 11:24:01 UTC 2012 年 1 月 29 日 (日) 20 時 24 分 1 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:09:06 UTC 2012 年 2 月 21 日 (火) 16 時 9 分 6 秒 (日本時間)
5043e61020 / 7374520Dmitry DomanovMay 18, 2012 21:45:09 UTC 2012 年 5 月 19 日 (土) 6 時 45 分 9 秒 (日本時間)
500Dmitry DomanovJune 9, 2012 08:51:19 UTC 2012 年 6 月 9 日 (土) 17 時 51 分 19 秒 (日本時間)

5×10213-7

c178

composite cofactor 合成数の残り
7026075012619827801815531365233107975637704997163290324542052578306165997779261007514595521112236235429300361447639263265827749426968023072775335441924387282854195338536916018557<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:32:38 UTC 2012 年 2 月 4 日 (土) 15 時 32 分 38 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 21, 2012 07:09:16 UTC 2012 年 2 月 21 日 (火) 16 時 9 分 16 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovMay 18, 2012 21:45:37 UTC 2012 年 5 月 19 日 (土) 6 時 45 分 37 秒 (日本時間)

5×10214-7

c211

name 名前Ignacio Santos
date 日付January 29, 2012 10:48:20 UTC 2012 年 1 月 29 日 (日) 19 時 48 分 20 秒 (日本時間)
composite number 合成数
5622399640166423029348926121668728213201394355110761272911278533678173844596873945800067468795681997076352187113460024738558416732261329135274935342404138086135162487349600809625548183964916226245361520296862701<211>
prime factors 素因数
660581010334137787952543366668217<33>
composite cofactor 合成数の残り
8511294681817265458106733362168395187422917000232462473686339068793156587593216797577022361873823015903508515460820300307428924785703495920868779660465029742584813484762847901653<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=866159170
Step 1 took 126891ms
Step 2 took 60591ms
********** Factor found in step 2: 660581010334137787952543366668217
Found probable prime factor of 33 digits: 660581010334137787952543366668217
Composite cofactor 8511294681817265458106733362168395187422917000232462473686339068793156587593216797577022361873823015903508515460820300307428924785703495920868779660465029742584813484762847901653 has 178 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 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:32:49 UTC 2012 年 2 月 4 日 (土) 15 時 32 分 49 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 21, 2012 07:09:24 UTC 2012 年 2 月 21 日 (火) 16 時 9 分 24 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovMay 18, 2012 21:46:06 UTC 2012 年 5 月 19 日 (土) 6 時 46 分 6 秒 (日本時間)

5×10215-7

c189

composite cofactor 合成数の残り
369917719688856659929255474962870402032254416023599843019093748425366774838939357089542732505821983805099828402641437899633392724349513389642461022849736640716155317648519525797331985739807<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:32:59 UTC 2012 年 2 月 4 日 (土) 15 時 32 分 59 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 21, 2012 07:09:33 UTC 2012 年 2 月 21 日 (火) 16 時 9 分 33 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovMay 19, 2012 22:00:53 UTC 2012 年 5 月 20 日 (日) 7 時 0 分 53 秒 (日本時間)

5×10216-7

c183

name 名前Dmitry Domanov
date 日付February 17, 2012 20:51:18 UTC 2012 年 2 月 18 日 (土) 5 時 51 分 18 秒 (日本時間)
composite number 合成数
231738747699400972117614134221449779012806131254098903339418566862689472769283423280579350400540384719637487605145131452521523453776514547097977221245898967861701440289406847031756057<183>
prime factors 素因数
72540983035502258804916548560292474424077<41>
composite cofactor 合成数の残り
3194590671399997258457323538973988871986583350160112906502759735837063746286202893949019839335119601486637865669675654709724206721433750695741<142>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4085794182
Step 1 took 119046ms
Step 2 took 36796ms
********** Factor found in step 2: 72540983035502258804916548560292474424077
Found probable prime factor of 41 digits: 72540983035502258804916548560292474424077

c142

name 名前Maksym Voznyy
date 日付January 20, 2017 00:26:48 UTC 2017 年 1 月 20 日 (金) 9 時 26 分 48 秒 (日本時間)
composite number 合成数
3194590671399997258457323538973988871986583350160112906502759735837063746286202893949019839335119601486637865669675654709724206721433750695741<142>
prime factors 素因数
797173313484276555639552738514281551236688258398597403<54>
4007397911298754679832620962747894584629171467664048505617525473582477241444037905792647<88>
factorization results 素因数分解の結果
# Murphy_E = 1.81396433e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 3194590671399997258457323538973988871986583350160112906502759735837063746286202893949019839335119601486637865669675654709724206721433750695741
Y0: -2323330288621010664618061071
Y1: 220364350303520038657
c0: -75887579278762360414553972686872
c1: 1629291223045397343165220478
c2: 27337574087094398430435
c3: -401892625727580671
c4: -1109915557470
c5: 1524600
skew: 165474.70877
type: gnfs

Msieve v. 1.53 (SVN unknown)
random seeds: 1c702da8 cd5344ae
factoring 3194590671399997258457323538973988871986583350160112906502759735837063746286202893949019839335119601486637865669675654709724206721433750695741 (142 digits)
searching for 15-digit factors
commencing number field sieve (142-digit input)
R0: -2323330288621010664618061071
R1: 220364350303520038657
A0: -75887579278762360414553972686872
A1: 1629291223045397343165220478
A2: 27337574087094398430435
A3: -401892625727580671
A4: -1109915557470
A5: 1524600
skew 165474.71, size 1.114e-13, alpha -7.126, combined = 1.814e-11 rroots = 5

commencing relation filtering
estimated available RAM is 7934.2 MB
commencing duplicate removal, pass 1
skipped 2 relations with composite factors
found 2892320 hash collisions in 23434007 relations
added 121294 free relations
commencing duplicate removal, pass 2
found 2357777 duplicates and 21197524 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 702.4 MB
keeping 22603372 ideals with weight <= 200, target excess is 129689
commencing in-memory singleton removal
begin with 21197524 relations and 22603372 unique ideals
reduce to 9506640 relations and 9138334 ideals in 19 passes
max relations containing the same ideal: 118
removing 1056621 relations and 947688 ideals in 108933 cliques
commencing in-memory singleton removal
begin with 8450019 relations and 9138334 unique ideals
reduce to 8351196 relations and 8090243 ideals in 10 passes
max relations containing the same ideal: 105
removing 782972 relations and 674039 ideals in 108933 cliques
commencing in-memory singleton removal
begin with 7568224 relations and 8090243 unique ideals
reduce to 7504956 relations and 7352063 ideals in 9 passes
max relations containing the same ideal: 100
relations with 0 large ideals: 457
relations with 1 large ideals: 763
relations with 2 large ideals: 14352
relations with 3 large ideals: 117536
relations with 4 large ideals: 518995
relations with 5 large ideals: 1331113
relations with 6 large ideals: 2072095
relations with 7+ large ideals: 3449645
commencing 2-way merge
reduce to 4405752 relation sets and 4252861 unique ideals
ignored 2 oversize relation sets
commencing full merge
memory use: 502.1 MB
found 2276098 cycles, need 2255061
weight of 2255061 cycles is about 158088057 (70.10/cycle)
distribution of cycle lengths:
1 relations: 308458
2 relations: 287187
3 relations: 283578
4 relations: 248635
5 relations: 211855
6 relations: 179721
7 relations: 151093
8 relations: 123698
9 relations: 101772
10+ relations: 359064
heaviest cycle: 21 relations
commencing cycle optimization
start with 12345785 relations
pruned 245358 relations
memory use: 428.0 MB
distribution of cycle lengths:
1 relations: 308458
2 relations: 293613
3 relations: 292931
4 relations: 252650
5 relations: 215044
6 relations: 180224
7 relations: 150849
8 relations: 122336
9 relations: 99934
10+ relations: 339022
heaviest cycle: 21 relations
RelProcTime: 989
elapsed time 00:16:30
Thu Jan 19 10:13:14 2017 LatSieveTime: 4290.15
Thu Jan 19 10:13:14 2017 -> Running matrix solving step ...

commencing linear algebra
read 2255061 cycles
cycles contain 7321260 unique relations
read 7321260 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 965.0 MB
read 2255061 cycles
matrix is 2254878 x 2255061 (678.2 MB) with weight 214126005 (94.95/col)
sparse part has weight 152979007 (67.84/col)
filtering completed in 2 passes
matrix is 2250992 x 2251175 (677.9 MB) with weight 213979607 (95.05/col)
sparse part has weight 152942246 (67.94/col)
matrix starts at (0, 0)
matrix is 2250992 x 2251175 (677.9 MB) with weight 213979607 (95.05/col)
sparse part has weight 152942246 (67.94/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2250944 x 2251175 (657.3 MB) with weight 169674216 (75.37/col)
sparse part has weight 149800566 (66.54/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 525.0 MB
linear algebra at 0.1%, ETA 4h31m
checkpointing every 530000 dimensions
lanczos halted after 35600 iterations (dim = 2250941)
recovered 26 nontrivial dependencies
BLanczosTime: 15949
elapsed time 04:25:51
Thu Jan 19 14:39:05 2017 -> Running square root step ...

commencing square root phase
reading relations for dependency 1
read 1123953 cycles
cycles contain 3659816 unique relations
read 3659816 relations
multiplying 3659816 relations
multiply complete, coefficients have about 198.39 million bits
initial square root is modulo 13176841
GCD is N, no factor found
reading relations for dependency 2
read 1125622 cycles
cycles contain 3662238 unique relations
read 3662238 relations
multiplying 3662238 relations
multiply complete, coefficients have about 198.52 million bits
initial square root is modulo 13317649
GCD is 1, no factor found
reading relations for dependency 3
read 1124687 cycles
cycles contain 3658046 unique relations
read 3658046 relations
multiplying 3658046 relations
multiply complete, coefficients have about 198.29 million bits
initial square root is modulo 13068799
sqrtTime: 1941
p54 factor: 797173313484276555639552738514281551236688258398597403
p88 factor: 4007397911298754679832620962747894584629171467664048505617525473582477241444037905792647
elapsed time 00:32:23

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:33:11 UTC 2012 年 2 月 4 日 (土) 15 時 33 分 11 秒 (日本時間)
4511e64400400Dmitry DomanovFebruary 21, 2012 07:09:41 UTC 2012 年 2 月 21 日 (火) 16 時 9 分 41 秒 (日本時間)
4000Wataru SakaiMarch 28, 2012 05:13:08 UTC 2012 年 3 月 28 日 (水) 14 時 13 分 8 秒 (日本時間)

5×10218-7

c209

name 名前Dmitry Domanov
date 日付May 20, 2012 08:55:30 UTC 2012 年 5 月 20 日 (日) 17 時 55 分 30 秒 (日本時間)
composite number 合成数
49849243788372494139717167575893926098023712303638820114831108857305388836141637157659898303472979457229224555411635615494779904984244704337892470363119369896362326477595116256106817626373209493713067559538459<209>
prime factors 素因数
773491444611675633982507609825858442459903<42>
composite cofactor 合成数の残り
64447052563585696759926790070543575277707605049501776973954873310872560492951967277632274081387912774279850775683114425139133679714524961160729859761729760775777761253<167>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3723629427
Step 1 took 407598ms
Step 2 took 103617ms
********** Factor found in step 2: 773491444611675633982507609825858442459903
Found probable prime factor of 42 digits: 773491444611675633982507609825858442459903

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 29, 2012 11:24:47 UTC 2012 年 1 月 29 日 (日) 20 時 24 分 47 秒 (日本時間)
403e61110110Ignacio SantosJanuary 29, 2012 11:24:47 UTC 2012 年 1 月 29 日 (日) 20 時 24 分 47 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:33:20 UTC 2012 年 2 月 4 日 (土) 15 時 33 分 20 秒 (日本時間)
4511e6432 / 253232Ignacio SantosJanuary 29, 2012 11:24:47 UTC 2012 年 1 月 29 日 (日) 20 時 24 分 47 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:09:52 UTC 2012 年 2 月 21 日 (火) 16 時 9 分 52 秒 (日本時間)
5043e6480 / 7412Dmitry DomanovMay 19, 2012 22:01:16 UTC 2012 年 5 月 20 日 (日) 7 時 1 分 16 秒 (日本時間)

5×10219-7

c200

name 名前Warut Roonguthai
date 日付January 27, 2012 16:16:12 UTC 2012 年 1 月 28 日 (土) 1 時 16 分 12 秒 (日本時間)
composite number 合成数
75282306330737672542331424330545986311817144735697874504564510846277456909120629593310114476020484993810732645494643770455068417667251964951330833220251513459535738492718014353949073369039201854556267<200>
prime factors 素因数
13372483295017008725689816244587<32>
5629642951865951049567680837612037914481947628473918311584295699459594372196652507116504285184927955533555620991381573569212876461236694459215445291175548077979336848641<169>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=423925380
Step 1 took 9750ms
Step 2 took 5725ms
********** Factor found in step 2: 13372483295017008725689816244587
Found probable prime factor of 32 digits: 13372483295017008725689816244587
Probable prime cofactor 5629642951865951049567680837612037914481947628473918311584295699459594372196652507116504285184927955533555620991381573569212876461236694459215445291175548077979336848641 has 169 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 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)

5×10220-7

c196

composite cofactor 合成数の残り
5557938433136272619041407861109816408660008413486300281929088328303403385834992668029100372968642403738902369866454876282613370554306637476402566170018335844211510838242114910322380580624193894421<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:33:33 UTC 2012 年 2 月 4 日 (土) 15 時 33 分 33 秒 (日本時間)
4511e6400 / 1518Dmitry DomanovFebruary 21, 2012 07:10:01 UTC 2012 年 2 月 21 日 (火) 16 時 10 分 1 秒 (日本時間)
5043e6780 / 7425480Dmitry DomanovMay 19, 2012 22:01:48 UTC 2012 年 5 月 20 日 (日) 7 時 1 分 48 秒 (日本時間)
300Dmitry DomanovJune 9, 2012 08:52:40 UTC 2012 年 6 月 9 日 (土) 17 時 52 分 40 秒 (日本時間)

5×10221-7

c221

name 名前Dmitry Domanov
date 日付May 20, 2012 08:56:25 UTC 2012 年 5 月 20 日 (日) 17 時 56 分 25 秒 (日本時間)
composite number 合成数
38461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461<221>
prime factors 素因数
475026714194263351131730939480337287138979111<45>
composite cofactor 合成数の残り
80967106295856700257049849778435537051729183844970958921689827207107138692496448299978786739621165413005164098477165526072247771840695196217428743577064411720279164539267165851<176>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=72737684
Step 1 took 476610ms
Step 2 took 116231ms
********** Factor found in step 2: 475026714194263351131730939480337287138979111
Found probable prime factor of 45 digits: 475026714194263351131730939480337287138979111

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 29, 2012 12:14:38 UTC 2012 年 1 月 29 日 (日) 21 時 14 分 38 秒 (日本時間)
403e61110110Ignacio SantosJanuary 29, 2012 12:14:38 UTC 2012 年 1 月 29 日 (日) 21 時 14 分 38 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:33:43 UTC 2012 年 2 月 4 日 (土) 15 時 33 分 43 秒 (日本時間)
4511e643232Ignacio SantosJanuary 29, 2012 12:14:38 UTC 2012 年 1 月 29 日 (日) 21 時 14 分 38 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:10:09 UTC 2012 年 2 月 21 日 (火) 16 時 10 分 9 秒 (日本時間)
5043e61080 / 7412600Dmitry DomanovMay 18, 2012 21:46:43 UTC 2012 年 5 月 19 日 (土) 6 時 46 分 43 秒 (日本時間)
480Dmitry DomanovMay 19, 2012 22:02:17 UTC 2012 年 5 月 20 日 (日) 7 時 2 分 17 秒 (日本時間)

5×10224-7

c191

name 名前Warut Roonguthai
date 日付January 27, 2012 16:49:58 UTC 2012 年 1 月 28 日 (土) 1 時 49 分 58 秒 (日本時間)
composite number 合成数
15419547132489212104399496572400335280690310185804599662347429433447508198803938868959067094416416532460294453737919947216137649758011037278857265196362914898453566446654305402217956168675451<191>
prime factors 素因数
8103076068649195751158887620149<31>
composite cofactor 合成数の残り
1902925136313041112022746375920651519611266201789311109994544059019332720243333666087202628197749026533210615251636920906421864080336339422472255764297626364399<160>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=824924866
Step 1 took 8674ms
Step 2 took 5397ms
********** Factor found in step 2: 8103076068649195751158887620149
Found probable prime factor of 31 digits: 8103076068649195751158887620149
Composite cofactor 1902925136313041112022746375920651519611266201789311109994544059019332720243333666087202628197749026533210615251636920906421864080336339422472255764297626364399 has 160 digits
software ソフトウェア
GMP-ECM 6.3

c160

name 名前Dmitry Domanov
date 日付February 4, 2012 21:38:33 UTC 2012 年 2 月 5 日 (日) 6 時 38 分 33 秒 (日本時間)
composite number 合成数
1902925136313041112022746375920651519611266201789311109994544059019332720243333666087202628197749026533210615251636920906421864080336339422472255764297626364399<160>
prime factors 素因数
7673757653233688801339757914449479127<37>
247978268574999441369659084089330631881330979699982308591144795430332668394003364967970857018697497176974398104609786612137<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2107729732
Step 1 took 19754ms
Step 2 took 7993ms
********** Factor found in step 2: 7673757653233688801339757914449479127
Found probable prime factor of 37 digits: 7673757653233688801339757914449479127

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovFebruary 4, 2012 06:33:55 UTC 2012 年 2 月 4 日 (土) 15 時 33 分 55 秒 (日本時間)

5×10226-7

c180

name 名前Dmitry Domanov
date 日付May 20, 2012 08:57:42 UTC 2012 年 5 月 20 日 (日) 17 時 57 分 42 秒 (日本時間)
composite number 合成数
108200102990934228555522499882504946657230688967211777718631870731961369937000569596908247431378266326479431591909668209822951038671203756262363667229573411737702774211139170221397<180>
prime factors 素因数
5086170397057241884760163191192265908646833<43>
composite cofactor 合成数の残り
21273393249572739281285393315720669442674665813057121625118546682434140480286646132496324411719665199299928410802737805653810372779950309<137>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1575422330
Step 1 took 357165ms
Step 2 took 90856ms
********** Factor found in step 2: 5086170397057241884760163191192265908646833
Found probable prime factor of 43 digits: 5086170397057241884760163191192265908646833

c137

name 名前Erik Branger
date 日付September 1, 2012 07:09:19 UTC 2012 年 9 月 1 日 (土) 16 時 9 分 19 秒 (日本時間)
composite number 合成数
21273393249572739281285393315720669442674665813057121625118546682434140480286646132496324411719665199299928410802737805653810372779950309<137>
prime factors 素因数
24463297107652525419532937870663387792059253462579879219581<59>
869604499996775526227813257955226555963850788372420485467644875124958314039689<78>
factorization results 素因数分解の結果
Number: 49993_226
N = 21273393249572739281285393315720669442674665813057121625118546682434140480286646132496324411719665199299928410802737805653810372779950309 (137 digits)
Divisors found:
r1=24463297107652525419532937870663387792059253462579879219581 (pp59)
r2=869604499996775526227813257955226555963850788372420485467644875124958314039689 (pp78)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 223.46 hours.
Factorization parameters were as follows:
# Murphy_E = 3.889e-11, selected by Dmitry Domanov
n: 21273393249572739281285393315720669442674665813057121625118546682434140480286646132496324411719665199299928410802737805653810372779950309
Y0: -479414887021982926052922627
Y1: 42849946902143
c0: 3955177207018813798286848912145620
c1: 76998560269991401832617533276
c2: 22245775182494253511741
c3: -72959541837531870
c4: -2096466332
c5: 840
skew: 2749551.42
type: gnfs
# selected mechanically
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7500000, 17200000)
Relations: 22544251
Relations in full relation-set: 3666620 relations
Pruned matrix : 2194468 x 2194697
Polynomial selection time: 0.00 hours.
Total sieving time: 218.84 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.34 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,15000000,15000000,28,28,55,55,2.6,2.6,100000
total time: 223.46 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:34:05 UTC 2012 年 2 月 4 日 (土) 15 時 34 分 5 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 21, 2012 07:10:17 UTC 2012 年 2 月 21 日 (火) 16 時 10 分 17 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovMay 19, 2012 22:02:52 UTC 2012 年 5 月 20 日 (日) 7 時 2 分 52 秒 (日本時間)

5×10227-7

c227

name 名前Lionel Debroux
date 日付September 28, 2014 09:33:46 UTC 2014 年 9 月 28 日 (日) 18 時 33 分 46 秒 (日本時間)
composite number 合成数
38461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461<227>
prime factors 素因数
44669007303253894816378366157328613546084394643603763411607<59>
861034099110967866676529965061650251614287593947585382062542417466746230134763830470105019757697555780706946245874619598006942473510191158949362325145162320962394124523<168>
factorization results 素因数分解の結果
prp59 factor: 44669007303253894816378366157328613546084394643603763411607
prp168 factor: 861034099110967866676529965061650251614287593947585382062542417466746230134763830470105019757697555780706946245874619598006942473510191158949362325145162320962394124523
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
351e6418118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 29, 2012 12:15:14 UTC 2012 年 1 月 29 日 (日) 21 時 15 分 14 秒 (日本時間)
403e61110110Ignacio SantosJanuary 29, 2012 12:15:14 UTC 2012 年 1 月 29 日 (日) 21 時 15 分 14 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:34:14 UTC 2012 年 2 月 4 日 (土) 15 時 34 分 14 秒 (日本時間)
4511e643232Ignacio SantosJanuary 29, 2012 12:15:14 UTC 2012 年 1 月 29 日 (日) 21 時 15 分 14 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:10:26 UTC 2012 年 2 月 21 日 (火) 16 時 10 分 26 秒 (日本時間)
5043e61000600Dmitry DomanovMay 19, 2012 22:03:55 UTC 2012 年 5 月 20 日 (日) 7 時 3 分 55 秒 (日本時間)
400Dmitry DomanovMay 25, 2012 23:02:59 UTC 2012 年 5 月 26 日 (土) 8 時 2 分 59 秒 (日本時間)
5511e740Dmitry DomanovJune 9, 2012 08:54:16 UTC 2012 年 6 月 9 日 (土) 17 時 54 分 16 秒 (日本時間)
6026e77470 / 41877yoyo@homeMay 15, 2013 21:00:43 UTC 2013 年 5 月 16 日 (木) 6 時 0 分 43 秒 (日本時間)

5×10228-7

c168

name 名前Dmitry Domanov
date 日付February 3, 2012 06:41:45 UTC 2012 年 2 月 3 日 (金) 15 時 41 分 45 秒 (日本時間)
composite number 合成数
167336626316567742707518271314638479841430039755636756877746451320907802345866111020425679967880167473615777024337502067986728672306642886087580951140255598299452643161<168>
prime factors 素因数
2278966235855094909022819200961843<34>
composite cofactor 合成数の残り
73426549144893791876037053859581058367893604037342583502200637310569821327563146449057543673402118844392099174778647939915765900693827<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=954066243
Step 1 took 19542ms
Step 2 took 8302ms
********** Factor found in step 2: 2278966235855094909022819200961843
Found probable prime factor of 34 digits: 2278966235855094909022819200961843

c134

name 名前Erik Branger
date 日付April 17, 2012 20:02:34 UTC 2012 年 4 月 18 日 (水) 5 時 2 分 34 秒 (日本時間)
composite number 合成数
73426549144893791876037053859581058367893604037342583502200637310569821327563146449057543673402118844392099174778647939915765900693827<134>
prime factors 素因数
99283953565556035179491371306221349761746189564966549722066553<62>
739561092280749062768710190980657655723850376566808611802860854011682459<72>
factorization results 素因数分解の結果
Number: 49993_228
N = 73426549144893791876037053859581058367893604037342583502200637310569821327563146449057543673402118844392099174778647939915765900693827 (134 digits)
Divisors found:
r1=99283953565556035179491371306221349761746189564966549722066553 (pp62)
r2=739561092280749062768710190980657655723850376566808611802860854011682459 (pp72)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 177.54 hours.
Factorization parameters were as follows:
# Murphy_E = 5.158e-11, selected by Erik Branger
n: 73426549144893791876037053859581058367893604037342583502200637310569821327563146449057543673402118844392099174778647939915765900693827
Y0: -119131475313538429845995748
Y1: 29606327942591
c0: -1795286403852936731079678902341663
c1: 2909575711847538376607762301
c2: 23178705174627507802747
c3: -1754223382919841
c4: -25768815564
c5: 3060
skew: 996751.23
type: gnfs
# selected mechanically
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6200000, 13800000)
Relations: 20215615
Relations in full relation-set: 3132026 relations
Pruned matrix : 1863896 x 1864124
Polynomial selection time: 0.00 hours.
Total sieving time: 173.75 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.40 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12400000,12400000,28,28,54,54,2.6,2.6,100000
total time: 177.54 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 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:34:27 UTC 2012 年 2 月 4 日 (土) 15 時 34 分 27 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovFebruary 21, 2012 07:10:36 UTC 2012 年 2 月 21 日 (火) 16 時 10 分 36 秒 (日本時間)

5×10229-7

c208

name 名前Dmitry Domanov
date 日付February 18, 2012 22:56:20 UTC 2012 年 2 月 19 日 (日) 7 時 56 分 20 秒 (日本時間)
composite number 合成数
1083361954077792716923182409122584593539905467715130655111916295913988548623176388409301954334855413569207139039710645726707713782688222010440087078276010931283165012273400101844621065452511239435278968415307<208>
prime factors 素因数
19252282533063170037598320538516665101<38>
composite cofactor 合成数の残り
56271870736223940534721390666830121339368033548198110095018995408784516546836741719063342108772868828458289423849220229889567721335736967770012928582629920223455237799607<170>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3246724172
Step 1 took 139278ms
Step 2 took 42856ms
********** Factor found in step 2: 19252282533063170037598320538516665101
Found probable prime factor of 38 digits: 19252282533063170037598320538516665101

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:34:39 UTC 2012 年 2 月 4 日 (土) 15 時 34 分 39 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 21, 2012 07:10:45 UTC 2012 年 2 月 21 日 (火) 16 時 10 分 45 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovMay 19, 2012 22:03:26 UTC 2012 年 5 月 20 日 (日) 7 時 3 分 26 秒 (日本時間)

5×10231-7

c232

name 名前matsui
date 日付October 5, 2014 10:57:53 UTC 2014 年 10 月 5 日 (日) 19 時 57 分 53 秒 (日本時間)
composite number 合成数
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<232>
prime factors 素因数
1206252763034793541365888744629120004376699491826475949945698497601039595824905286920649365169<94>
4145068225518981378889471000265123099429939467965857467512928732071037994442131919563078200884339160051513325076587784359603716143661719497<139>
factorization results 素因数分解の結果
N=4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 232 digits)
SNFS difficulty: 233 digits.
Divisors found:
 r1=1206252763034793541365888744629120004376699491826475949945698497601039595824905286920649365169 (pp94)
 r2=4145068225518981378889471000265123099429939467965857467512928732071037994442131919563078200884339160051513325076587784359603716143661719497 (pp139)
Version: Msieve v. 1.53 (SVN Unversioned directory)
Total time:
Scaled time: 333.80 units (timescale=2.039).
Factorization parameters were as follows:
n: 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 500000000000000000000000000000000000000
deg: 6
c6: 8
c0: -175
skew: 1.67
# Murphy_E = 6.894e-13
type: snfs
lss: 1
rlim: 54000000
alim: 54000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
qintsize: 320000
Factor base limits: 54000000/54000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [27000000, 69880001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 8609754 x 8609979
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,233.000,6,0,0,0,0,0,0,0,0,54000000,54000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e62318Serge BatalovJanuary 29, 2012 02:44:51 UTC 2012 年 1 月 29 日 (日) 11 時 44 分 51 秒 (日本時間)
4511e61112500Serge BatalovJanuary 29, 2012 06:50:22 UTC 2012 年 1 月 29 日 (日) 15 時 50 分 22 秒 (日本時間)
180Serge BatalovJanuary 29, 2012 08:58:56 UTC 2012 年 1 月 29 日 (日) 17 時 58 分 56 秒 (日本時間)
32Ignacio SantosJanuary 29, 2012 12:49:39 UTC 2012 年 1 月 29 日 (日) 21 時 49 分 39 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:10:56 UTC 2012 年 2 月 21 日 (火) 16 時 10 分 56 秒 (日本時間)
5043e6816Dmitry DomanovMay 12, 2012 14:57:24 UTC 2012 年 5 月 12 日 (土) 23 時 57 分 24 秒 (日本時間)
5511e70--
6026e79090 / 419017490yoyo@homeMay 16, 2013 03:07:20 UTC 2013 年 5 月 16 日 (木) 12 時 7 分 20 秒 (日本時間)
1600Serge BatalovNovember 14, 2013 17:12:55 UTC 2013 年 11 月 15 日 (金) 2 時 12 分 55 秒 (日本時間)

5×10232-7

c224

name 名前Dmitry Domanov
date 日付February 3, 2012 20:09:23 UTC 2012 年 2 月 4 日 (土) 5 時 9 分 23 秒 (日本時間)
composite number 合成数
17958576018002004164871777331423436858237378270185442227813535471626523275645429399291526202482068942805959181206210263936570369845232341776406876434584254599453423627296005874448478167694304455538549530345111072361372833761<224>
prime factors 素因数
1507077036309228452724280430784123117221<40>
composite cofactor 合成数の残り
11916163265271323154805217833076056438618759072205538277035933154302974327177803421352860784077986899537961970706387402197246178099484445302196095289323597096869999037080982446357113741<185>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2122859800
Step 1 took 30721ms
Step 2 took 11312ms
********** Factor found in step 2: 1507077036309228452724280430784123117221
Found probable prime factor of 40 digits: 1507077036309228452724280430784123117221

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 29, 2012 14:40:27 UTC 2012 年 1 月 29 日 (日) 23 時 40 分 27 秒 (日本時間)
403e61110110Ignacio SantosJanuary 29, 2012 14:40:27 UTC 2012 年 1 月 29 日 (日) 23 時 40 分 27 秒 (日本時間)
1000Dmitry DomanovFebruary 3, 2012 20:08:58 UTC 2012 年 2 月 4 日 (土) 5 時 8 分 58 秒 (日本時間)
4511e6432 / 225132Ignacio SantosJanuary 29, 2012 14:40:27 UTC 2012 年 1 月 29 日 (日) 23 時 40 分 27 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:11:06 UTC 2012 年 2 月 21 日 (火) 16 時 11 分 6 秒 (日本時間)
5043e6560 / 7412Dmitry DomanovJune 2, 2012 22:48:41 UTC 2012 年 6 月 3 日 (日) 7 時 48 分 41 秒 (日本時間)

5×10233-7

c193

name 名前Dmitry Domanov
date 日付February 17, 2012 20:51:42 UTC 2012 年 2 月 18 日 (土) 5 時 51 分 42 秒 (日本時間)
composite number 合成数
1686255019843173921388788639597428177740421237319555675907550987962051013264978641568259894437609258345987922823428338197682430267458467956457992446264153380345974606981288126715324087426696727<193>
prime factors 素因数
2018519693382058093985828755837251049146847853<46>
composite cofactor 合成数の残り
835391908918079443744304429678290010380439226472027428645050708232182465659165200677505211866154493082295573677700601890215346566629765647050147859<147>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=365450486
Step 1 took 117849ms
Step 2 took 39259ms
********** Factor found in step 2: 2018519693382058093985828755837251049146847853
Found probable prime factor of 46 digits: 2018519693382058093985828755837251049146847853

c147

name 名前Maksym Voznyy
date 日付February 10, 2017 17:17:26 UTC 2017 年 2 月 11 日 (土) 2 時 17 分 26 秒 (日本時間)
composite number 合成数
835391908918079443744304429678290010380439226472027428645050708232182465659165200677505211866154493082295573677700601890215346566629765647050147859<147>
prime factors 素因数
389916037597315827503362826680860672626288844399431<51>
2142491788913866058630613262239063205740784734187786002789977771094956590144504807734698297893589<97>
factorization results 素因数分解の結果
# Murphy_E = 8.12234341e-12, selected by Maksym Voznyy
# selected by CADO-NFS
n: 835391908918079443744304429678290010380439226472027428645050708232182465659165200677505211866154493082295573677700601890215346566629765647050147859
Y0: -18943096636753522378696449554
Y1: 305696073538068115871
c0: 429316540060073521980042573685380
c1: -11087948202929355372990323834
c2: -166560435950067949916769
c3: 1346547917381391317
c4: 12024406622268
c5: -12523680
skew: 143661.48254
type: gnfs

Msieve v. 1.53 (SVN unknown)
random seeds: 24e7f5f8 eacc4b12
factoring 835391908918079443744304429678290010380439226472027428645050708232182465659165200677505211866154493082295573677700601890215346566629765647050147859 (147 digits)
searching for 15-digit factors
commencing number field sieve (147-digit input)
R0: -18943096636753522378696449554
R1: 305696073538068115871
A0: -429316540060073521980042573685380
A1: 11087948202929355372990323834
A2: 166560435950067949916769
A3: -1346547917381391317
A4: -12024406622268
A5: 12523680
skew 143661.48, size 2.788e-14, alpha -6.863, combined = 8.122e-12 rroots = 5

factmsieve.py (v0.76)
This is client 1 of 1
Running on 6 Cores with 1 hyper-thread per Core
Working with NAME = c147_1
Selected lattice siever: gnfs-lasieve4I14e
Creating param file to detect parameter changes...
Running setup ...
Estimated minimum relations needed: 3.84916e+07
cleaning up before a restart
Running lattice siever ...
entering sieving loop
making sieve job for q = 8850000 in 8850000 .. 8866666 as file c147_1.job.T0
making sieve job for q = 8866666 in 8866666 .. 8883332 as file c147_1.job.T1
making sieve job for q = 8883332 in 8883332 .. 8899998 as file c147_1.job.T2
making sieve job for q = 8899998 in 8899998 .. 8916664 as file c147_1.job.T3
making sieve job for q = 8916664 in 8916664 .. 8933330 as file c147_1.job.T4
making sieve job for q = 8933330 in 8933330 .. 8949996 as file c147_1.job.T5
Lattice sieving algebraic q from 8850000 to 8950000.
gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a c147_1.job.T0
gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a c147_1.job.T1
gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a c147_1.job.T2
gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a c147_1.job.T3
gnfs-lasieve4I14e -k -o spairs.out.T4 -v -n4 -a c147_1.job.T4
gnfs-lasieve4I14e -k -o spairs.out.T5 -v -n5 -a c147_1.job.T5
Found 316625 relations, 0.8% of the estimated minimum (38491590).
LatSieveTime: 2260.9
...
making sieve job for q = 21950000 in 21950000 .. 21966666 as file c147_1.job.T0
making sieve job for q = 21966666 in 21966666 .. 21983332 as file c147_1.job.T1
making sieve job for q = 21983332 in 21983332 .. 21999998 as file c147_1.job.T2
making sieve job for q = 21999998 in 21999998 .. 22016664 as file c147_1.job.T3
making sieve job for q = 22016664 in 22016664 .. 22033330 as file c147_1.job.T4
making sieve job for q = 22033330 in 22033330 .. 22049996 as file c147_1.job.T5
Lattice sieving algebraic q from 21950000 to 22050000.
gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a c147_1.job.T0
gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a c147_1.job.T1
gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a c147_1.job.T2
gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a c147_1.job.T3
gnfs-lasieve4I14e -k -o spairs.out.T4 -v -n4 -a c147_1.job.T4
gnfs-lasieve4I14e -k -o spairs.out.T5 -v -n5 -a c147_1.job.T5
Found 41635573 relations, 108.2% of the estimated minimum (38491590).

commencing relation filtering
estimated available RAM is 7934.2 MB
commencing duplicate removal, pass 1
skipped 12 relations with composite factors
found 5074246 hash collisions in 41635555 relations
added 1 free relations
commencing duplicate removal, pass 2
found 4260239 duplicates and 37375317 unique relations
memory use: 197.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1378.0 MB
reading all ideals from disk
memory use: 1283.1 MB
keeping 41156911 ideals with weight <= 200, target excess is 201125
commencing in-memory singleton removal
begin with 37375317 relations and 41156911 unique ideals
reduce to 13747729 relations and 13493780 ideals in 23 passes
max relations containing the same ideal: 104
removing 258119 relations and 247797 ideals in 10322 cliques
commencing in-memory singleton removal
begin with 13489610 relations and 13493780 unique ideals
reduce to 13485035 relations and 13241405 ideals in 12 passes
max relations containing the same ideal: 101
removing 187271 relations and 176949 ideals in 10322 cliques
commencing in-memory singleton removal
begin with 13297764 relations and 13241405 unique ideals
reduce to 13295400 relations and 13062085 ideals in 9 passes
max relations containing the same ideal: 100
relations with 0 large ideals: 658
relations with 1 large ideals: 1837
relations with 2 large ideals: 29926
relations with 3 large ideals: 238464
relations with 4 large ideals: 1029957
relations with 5 large ideals: 2571081
relations with 6 large ideals: 3808360
relations with 7+ large ideals: 5615117
commencing 2-way merge
reduce to 7316676 relation sets and 7083410 unique ideals
ignored 49 oversize relation sets
commencing full merge
memory use: 791.2 MB
found 3749969 cycles, need 3743610
weight of 3743610 cycles is about 262346399 (70.08/cycle)
distribution of cycle lengths:
1 relations: 566326
2 relations: 531148
3 relations: 489780
4 relations: 410651
5 relations: 348798
6 relations: 280573
7 relations: 223987
8 relations: 176047
9 relations: 141261
10+ relations: 575039
heaviest cycle: 28 relations
commencing cycle optimization
start with 20550568 relations
pruned 325566 relations
memory use: 736.4 MB
distribution of cycle lengths:
1 relations: 566326
2 relations: 541000
3 relations: 503319
4 relations: 415402
5 relations: 351233
6 relations: 279567
7 relations: 221759
8 relations: 173395
9 relations: 138123
10+ relations: 553486
heaviest cycle: 28 relations
RelProcTime: 1760
elapsed time 00:29:21
LatSieveTime: 4295.08
Running matrix solving step ...

commencing linear algebra
read 3743610 cycles
cycles contain 12853610 unique relations
read 12853610 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1688.6 MB
read 3743610 cycles
matrix is 3743427 x 3743610 (1148.1 MB) with weight 358195850 (95.68/col)
sparse part has weight 256031604 (68.39/col)
filtering completed in 2 passes
matrix is 3736496 x 3736678 (1147.4 MB) with weight 357890104 (95.78/col)
sparse part has weight 255948570 (68.50/col)
matrix starts at (0, 0)
matrix is 3736496 x 3736678 (1147.4 MB) with weight 357890104 (95.78/col)
sparse part has weight 255948570 (68.50/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 3736448 x 3736678 (1105.1 MB) with weight 287244173 (76.87/col)
sparse part has weight 252326321 (67.53/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 889.5 MB
linear algebra at 0.0%, ETA 13h 0m
checkpointing every 300000 dimensions
lanczos halted after 59088 iterations (dim = 3736448)
recovered 30 nontrivial dependencies
BLanczosTime: 48202
elapsed time 13:23:23
Running square root step ...

commencing square root phase
reading relations for dependency 1
read 1868335 cycles
cycles contain 6425172 unique relations
read 6425172 relations
multiplying 6425172 relations
multiply complete, coefficients have about 371.06 million bits
initial square root is modulo 4550179
sqrtTime: 1320
p51 factor: 389916037597315827503362826680860672626288844399431
p97 factor: 2142491788913866058630613262239063205740784734187786002789977771094956590144504807734698297893589
elapsed time 00:22:03
Computing 1.48658e+09 scale for this machine...
procrels -speedtest> PIPE
Factorization summary written to g147-c147_1.txt

Number: c147_1
N = 835391908918079443744304429678290010380439226472027428645050708232182465659165200677505211866154493082295573677700601890215346566629765647050147859 (147 digits)
Total time: 104.97 hours.
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 41635573
Relations: 6425172 relations
Pruned matrix : 3736448 x 3736678
Polynomial selection time: 0.00 hours.
Total sieving time: 90.72 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 13.39 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: gnfs,146,5,65,2000,1e-05,0.28,250,20,50000,3600,17700000,17700000,29,29,58,58,2.6,2.6,100000
total time: 104.97 hours.
AMD64 Family 16 Model 10 Stepping 0, AuthenticAMD
Windows-7-6.1.7601-SP1
processors: 6, speed: 3.21GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:39:57 UTC 2012 年 2 月 4 日 (土) 15 時 39 分 57 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 21, 2012 07:11:15 UTC 2012 年 2 月 21 日 (火) 16 時 11 分 15 秒 (日本時間)
5043e61100 / 7425800Dmitry DomanovApril 19, 2012 21:16:36 UTC 2012 年 4 月 20 日 (金) 6 時 16 分 36 秒 (日本時間)
300Dmitry DomanovMay 26, 2012 16:48:52 UTC 2012 年 5 月 27 日 (日) 1 時 48 分 52 秒 (日本時間)

5×10234-7

c200

name 名前Dmitry Domanov
date 日付February 5, 2012 07:51:16 UTC 2012 年 2 月 5 日 (日) 16 時 51 分 16 秒 (日本時間)
composite number 合成数
15569718750334581487711465991538426603152122974095225642931708091089823832176653066650705321153478793053969470414807367965071042660504142474352776731735223639188294276209022741289805677373831515168639<200>
prime factors 素因数
314273854291868852183150547516192193<36>
composite cofactor 合成数の残り
49541883735179728781807803226415139550562936295806966375264402517014620325296001545665639051736215537672211036656174834377985707537105895957775633583316186569647423<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1871429739
Step 1 took 27353ms
Step 2 took 9929ms
********** Factor found in step 2: 314273854291868852183150547516192193
Found probable prime factor of 36 digits: 314273854291868852183150547516192193

c164

name 名前Dmitry Domanov
date 日付June 3, 2012 07:28:50 UTC 2012 年 6 月 3 日 (日) 16 時 28 分 50 秒 (日本時間)
composite number 合成数
49541883735179728781807803226415139550562936295806966375264402517014620325296001545665639051736215537672211036656174834377985707537105895957775633583316186569647423<164>
prime factors 素因数
108116327504512142172289204906938940979303<42>
458227585774333120661439094952624746438168702244870461237631101926130609493447214639362686887467243960862787914024690632041<123>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3847389048
Step 1 took 284313ms
Step 2 took 77159ms
********** Factor found in step 2: 108116327504512142172289204906938940979303
Found probable prime factor of 42 digits: 108116327504512142172289204906938940979303

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:40:08 UTC 2012 年 2 月 4 日 (土) 15 時 40 分 8 秒 (日本時間)
4511e6400 / 2009Dmitry DomanovFebruary 21, 2012 07:11:24 UTC 2012 年 2 月 21 日 (火) 16 時 11 分 24 秒 (日本時間)
5043e6640 / 7425Dmitry DomanovJune 2, 2012 22:49:22 UTC 2012 年 6 月 3 日 (日) 7 時 49 分 22 秒 (日本時間)

5×10235-7

c222

name 名前Dmitry Domanov
date 日付May 21, 2012 07:04:37 UTC 2012 年 5 月 21 日 (月) 16 時 4 分 37 秒 (日本時間)
composite number 合成数
420960207052481108853714158980325352811050718330949203860099878040908760484613847384794842655422801705857403012823325955191079749154400774866971384458096692872300778273838577230369798504221812323845001897223942824529083933<222>
prime factors 素因数
134414925866022275936895010181397173648813<42>
composite cofactor 合成数の残り
3131796594316259853379601477643640937954733409870471363668126390579733473513252601752291339955256951739439298457820666022607068453791857382679393263482162351291987658046691154440241<181>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4066835335
Step 1 took 400311ms
Step 2 took 111032ms
********** Factor found in step 2: 134414925866022275936895010181397173648813
Found probable prime factor of 42 digits: 134414925866022275936895010181397173648813

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:40:20 UTC 2012 年 2 月 4 日 (土) 15 時 40 分 20 秒 (日本時間)
4511e6400 / 1623Dmitry DomanovFebruary 21, 2012 07:11:34 UTC 2012 年 2 月 21 日 (火) 16 時 11 分 34 秒 (日本時間)
5043e6750 / 7425Dmitry DomanovMay 19, 2012 22:24:00 UTC 2012 年 5 月 20 日 (日) 7 時 24 分 0 秒 (日本時間)

5×10236-7

c237

name 名前Warut Roonguthai
date 日付January 27, 2012 19:08:39 UTC 2012 年 1 月 28 日 (土) 4 時 8 分 39 秒 (日本時間)
composite number 合成数
499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<237>
prime factors 素因数
1831064959718493123186042927007<31>
273065134771007639868860050659406584028143744657685178102795014883498857309605331783336273626063502350209003429971367849432726508182231413571223386857334458289321164302506867733789481804555751608798856560999<207>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=832346491
Step 1 took 13057ms
Step 2 took 6786ms
********** Factor found in step 2: 1831064959718493123186042927007
Found probable prime factor of 31 digits: 1831064959718493123186042927007
Probable prime cofactor 273065134771007639868860050659406584028143744657685178102795014883498857309605331783336273626063502350209003429971367849432726508182231413571223386857334458289321164302506867733789481804555751608798856560999 has 207 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 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)

5×10237-7

c229

name 名前Serge Batalov
date 日付January 27, 2012 18:51:41 UTC 2012 年 1 月 28 日 (土) 3 時 51 分 41 秒 (日本時間)
composite number 合成数
4227003874570663322134954590637335715602830577299613388334442700637205363257346567184085390604776626478407603168003801706415933060774376339415473114564978881140462959167035205748978213327956426596734798949480311389071258509219817<229>
prime factors 素因数
1188771669457927732288614222574817<34>
composite cofactor 合成数の残り
3555774404094059557149711411628370321529566162677198581977309533887835439434256295303805433499469483689157265382766597428737300287251922433780080405704947552658477548383638114290648677155161685001<196>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=806862898
Step 1 took 5905ms
Step 2 took 4488ms
********** Factor found in step 2: 1188771669457927732288614222574817
Found probable prime factor of 34 digits: 1188771669457927732288614222574817
Composite cofactor 355577440409... has 196 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:40:35 UTC 2012 年 2 月 4 日 (土) 15 時 40 分 35 秒 (日本時間)
4511e6400 / 2570Dmitry DomanovFebruary 21, 2012 07:11:41 UTC 2012 年 2 月 21 日 (火) 16 時 11 分 41 秒 (日本時間)
5043e6480 / 7425Dmitry DomanovJune 2, 2012 22:50:03 UTC 2012 年 6 月 3 日 (日) 7 時 50 分 3 秒 (日本時間)

5×10238-7

c184

name 名前Dmitry Domanov
date 日付February 3, 2012 20:08:31 UTC 2012 年 2 月 4 日 (土) 5 時 8 分 31 秒 (日本時間)
composite number 合成数
7125442655175384306844370551976567059373261254299642037218026276364936829629667990694988589314074147869452095003075784044981444527538591105854516569957738298617226887885484741092165851<184>
prime factors 素因数
23752637182150469344238834864837<32>
composite cofactor 合成数の残り
299985327967287001490303026013881881797070004682057530969394391429004996953686602864304766109430078026143564284031445281092032021279863733019747032065823<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3330540536
Step 1 took 23430ms
Step 2 took 9357ms
********** Factor found in step 2: 23752637182150469344238834864837
Found probable prime factor of 32 digits: 23752637182150469344238834864837

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 3, 2012 20:08:02 UTC 2012 年 2 月 4 日 (土) 5 時 8 分 2 秒 (日本時間)
4511e64400400Dmitry DomanovFebruary 21, 2012 07:11:49 UTC 2012 年 2 月 21 日 (火) 16 時 11 分 49 秒 (日本時間)
4000Wataru SakaiApril 3, 2012 01:19:13 UTC 2012 年 4 月 3 日 (火) 10 時 19 分 13 秒 (日本時間)

5×10240-7

c188

composite cofactor 合成数の残り
52710271806468963728571133991837236752949013713844958433746094716822656157869969263151517632517373411287900137713419534091793594136108690513797798080364426004072352394100805927372776570203<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:40:46 UTC 2012 年 2 月 4 日 (土) 15 時 40 分 46 秒 (日本時間)
4511e6400 / 2570Dmitry DomanovFebruary 21, 2012 07:12:04 UTC 2012 年 2 月 21 日 (火) 16 時 12 分 4 秒 (日本時間)
5043e6480 / 7425Dmitry DomanovJune 2, 2012 22:50:41 UTC 2012 年 6 月 3 日 (日) 7 時 50 分 41 秒 (日本時間)

5×10241-7

c201

composite cofactor 合成数の残り
615611534418602618220269535688923299506941047315991432494766916919301947572864181521481410996725336551058459922166048855060144974017943102008816429904989857222764044144581729917984337117359524663404617<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:40:56 UTC 2012 年 2 月 4 日 (土) 15 時 40 分 56 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 21, 2012 07:12:11 UTC 2012 年 2 月 21 日 (火) 16 時 12 分 11 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovJune 2, 2012 22:51:15 UTC 2012 年 6 月 3 日 (日) 7 時 51 分 15 秒 (日本時間)

5×10242-7

c233

composite cofactor 合成数の残り
40532771165285043916863984378330166145694324632421432946526047336441785447061521115037682154467160773301598471448821741173185293640588502039474030376391845415308619985609742667907107708095910076045823706072956108811580581861975493531<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 29, 2012 16:31:27 UTC 2012 年 1 月 30 日 (月) 1 時 31 分 27 秒 (日本時間)
403e61110110Ignacio SantosJanuary 29, 2012 16:31:27 UTC 2012 年 1 月 30 日 (月) 1 時 31 分 27 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:41:11 UTC 2012 年 2 月 4 日 (土) 15 時 41 分 11 秒 (日本時間)
4511e643232Ignacio SantosJanuary 29, 2012 16:31:27 UTC 2012 年 1 月 30 日 (月) 1 時 31 分 27 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2012 07:12:25 UTC 2012 年 2 月 21 日 (火) 16 時 12 分 25 秒 (日本時間)
5043e61100 / 7412Domanov DmitryMay 4, 2012 22:15:38 UTC 2012 年 5 月 5 日 (土) 7 時 15 分 38 秒 (日本時間)

5×10244-7

c177

composite cofactor 合成数の残り
670036275555983247405747113216101705242443980877422992115089639575661832077884991351621763738956008585839099709994269352587642923042702951212840454966502607612146322597994082611<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:41:20 UTC 2012 年 2 月 4 日 (土) 15 時 41 分 20 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 21, 2012 07:12:35 UTC 2012 年 2 月 21 日 (火) 16 時 12 分 35 秒 (日本時間)
5043e61120 / 7425520Dmitry DomanovJune 3, 2012 22:07:20 UTC 2012 年 6 月 4 日 (月) 7 時 7 分 20 秒 (日本時間)
600Dmitry DomanovJune 10, 2012 18:05:29 UTC 2012 年 6 月 11 日 (月) 3 時 5 分 29 秒 (日本時間)

5×10245-7

c202

name 名前Serge Batalov
date 日付January 27, 2012 18:33:23 UTC 2012 年 1 月 28 日 (土) 3 時 33 分 23 秒 (日本時間)
composite number 合成数
2530445952775889989273529230460703818623940811658789466465701541180344378566577719322573387869690454073706036734459715172690169552843147035651958119900990576162102973021297317720601842819178794666898897<202>
prime factors 素因数
1131997969166446404636569651627<31>
2235380293693635572585364291326719162863480366574348033467124303342529144586644314204305366665126252063442796610667916111025404090008408894629089210234095359731895713553011<172>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4035499177
Step 1 took 5132ms
Step 2 took 4064ms
********** Factor found in step 2: 1131997969166446404636569651627
Found probable prime factor of 31 digits: 1131997969166446404636569651627
Probable prime cofactor 223538029369... has 172 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 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)

5×10246-7

c179

composite cofactor 合成数の残り
31863636388968626314935495892648149754531313272211063667886464295149588935554156303278628890115978589751379171304732634325381143529092494350130268312181311364665274976914406914429<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:41:30 UTC 2012 年 2 月 4 日 (土) 15 時 41 分 30 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 21, 2012 07:12:46 UTC 2012 年 2 月 21 日 (火) 16 時 12 分 46 秒 (日本時間)
5043e61120 / 7425520Dmitry DomanovJune 3, 2012 22:06:49 UTC 2012 年 6 月 4 日 (月) 7 時 6 分 49 秒 (日本時間)
600Dmitry DomanovJune 10, 2012 18:08:11 UTC 2012 年 6 月 11 日 (月) 3 時 8 分 11 秒 (日本時間)

5×10247-7

c220

name 名前Dmitry Domanov
date 日付February 4, 2012 21:39:04 UTC 2012 年 2 月 5 日 (日) 6 時 39 分 4 秒 (日本時間)
composite number 合成数
3971678680602322367225336076355622856557774262501214322652301488420333774839600442041991272434708864880124121207071000013799229539677182199369201950185673416781085625056922541756320354427355173276797835899821201304005001<220>
prime factors 素因数
2989245957094058664221747678576203<34>
composite cofactor 合成数の残り
1328655700336989963800770019207337954056645155834868365006119993382117822275641996408886869710132535599980487141260732710623035047248170891072882094937175406248992510435474671419032879867<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=513345150
Step 1 took 30844ms
********** Factor found in step 1: 2989245957094058664221747678576203
Found probable prime factor of 34 digits: 2989245957094058664221747678576203

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2012 06:41:39 UTC 2012 年 2 月 4 日 (土) 15 時 41 分 39 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 21, 2012 07:12:56 UTC 2012 年 2 月 21 日 (火) 16 時 12 分 56 秒 (日本時間)
5043e61100 / 7425480Dmitry DomanovJune 3, 2012 22:06:08 UTC 2012 年 6 月 4 日 (月) 7 時 6 分 8 秒 (日本時間)
620Dmitry DomanovJune 10, 2012 18:08:48 UTC 2012 年 6 月 11 日 (月) 3 時 8 分 48 秒 (日本時間)

5×10249-7

c241

composite cofactor 合成数の残り
4082099408638423326789355149539951764492816934183799339256857443890047538831605391131045170911056604724544622237299719456656795478110876336602115527934597772388065815502621744265385721071481437823277117226557393197965588442455139795082414203<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2012 03:00:00 UTC 2012 年 1 月 27 日 (金) 12 時 0 分 0 秒 (日本時間)
403e61800800Serge BatalovJanuary 29, 2012 00:11:13 UTC 2012 年 1 月 29 日 (日) 9 時 11 分 13 秒 (日本時間)
1000Dmitry DomanovFebruary 4, 2012 06:41:52 UTC 2012 年 2 月 4 日 (土) 15 時 41 分 52 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 21, 2012 07:13:04 UTC 2012 年 2 月 21 日 (火) 16 時 13 分 4 秒 (日本時間)
5043e61000600Dmitry DomanovFebruary 25, 2012 19:26:08 UTC 2012 年 2 月 26 日 (日) 4 時 26 分 8 秒 (日本時間)
400Dmitry DomanovMarch 7, 2012 06:57:30 UTC 2012 年 3 月 7 日 (水) 15 時 57 分 30 秒 (日本時間)
5511e72690 / 1737325Dmitry DomanovApril 3, 2012 12:33:50 UTC 2012 年 4 月 3 日 (火) 21 時 33 分 50 秒 (日本時間)
2665yoyo@homeMarch 1, 2013 19:25:34 UTC 2013 年 3 月 2 日 (土) 4 時 25 分 34 秒 (日本時間)