331225534477566997892201144233664558867810900331225534477566997892201144233664558867810900331225534477567<105>

1292550447331944890025042849241722436631493391<46>
256257336153707341238146911505259598651293150772733923813137<60>

Number: 12223_107
N=331225534477566997892201144233664558867810900331225534477566997892201144233664558867810900331225534477567
  ( 105 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=1292550447331944890025042849241722436631493391 (pp46)
 r2=256257336153707341238146911505259598651293150772733923813137 (pp60)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.02 hours.
Scaled time: 1.37 units (timescale=0.676).
Factorization parameters were as follows:
name: 12223_107
n: 331225534477566997892201144233664558867810900331225534477566997892201144233664558867810900331225534477567
m: 1000000000000000000000
c5: 1100
c0: 7
skew: 0.36
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:64124, largePrimes:2429252 encountered
Relations: rels:3033429, finalFF:718930
Max relations in full relation-set: 28
Initial matrix: 113289 x 718930 with sparse part having weight 53214391.
Pruned matrix : 57627 x 58257 with weight 4923663.
Total sieving time: 1.84 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,108,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.02 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

4590539129976747396207516622062302388438943934694827013914981750655415827841212558189152724567910703<100>

192974421658293224031417306264104681<36>
23788329512941257985749836483187483343956508948136539261231691863<65>

Fri Feb  1 13:49:44 2008  Msieve v. 1.33
Fri Feb  1 13:49:44 2008  random seeds: a1488afa bb05cf89
Fri Feb  1 13:49:44 2008  factoring 4590539129976747396207516622062302388438943934694827013914981750655415827841212558189152724567910703 (100 digits)
Fri Feb  1 13:49:45 2008  searching for 15-digit factors
Fri Feb  1 13:49:47 2008  commencing quadratic sieve (100-digit input)
Fri Feb  1 13:49:48 2008  using multiplier of 23
Fri Feb  1 13:49:48 2008  using 64kb Pentium 4 sieve core
Fri Feb  1 13:49:48 2008  sieve interval: 18 blocks of size 65536
Fri Feb  1 13:49:48 2008  processing polynomials in batches of 6
Fri Feb  1 13:49:48 2008  using a sieve bound of 2751493 (99912 primes)
Fri Feb  1 13:49:48 2008  using large prime bound of 412723950 (28 bits)
Fri Feb  1 13:49:48 2008  using double large prime bound of 3222459040502850 (43-52 bits)
Fri Feb  1 13:49:48 2008  using trial factoring cutoff of 52 bits
Fri Feb  1 13:49:48 2008  polynomial 'A' values have 13 factors
Sat Feb  2 10:18:44 2008  100088 relations (23581 full + 76507 combined from 1507071 partial), need 100008
Sat Feb  2 10:18:50 2008  begin with 1530652 relations
Sat Feb  2 10:18:52 2008  reduce to 264655 relations in 12 passes
Sat Feb  2 10:18:52 2008  attempting to read 264655 relations
Sat Feb  2 10:19:02 2008  recovered 264655 relations
Sat Feb  2 10:19:02 2008  recovered 256120 polynomials
Sat Feb  2 10:19:02 2008  attempting to build 100088 cycles
Sat Feb  2 10:19:03 2008  found 100088 cycles in 6 passes
Sat Feb  2 10:19:03 2008  distribution of cycle lengths:
Sat Feb  2 10:19:03 2008     length 1 : 23581
Sat Feb  2 10:19:03 2008     length 2 : 16969
Sat Feb  2 10:19:03 2008     length 3 : 16869
Sat Feb  2 10:19:03 2008     length 4 : 13612
Sat Feb  2 10:19:03 2008     length 5 : 10500
Sat Feb  2 10:19:03 2008     length 6 : 7350
Sat Feb  2 10:19:03 2008     length 7 : 4635
Sat Feb  2 10:19:03 2008     length 9+: 6572
Sat Feb  2 10:19:03 2008  largest cycle: 20 relations
Sat Feb  2 10:19:03 2008  matrix is 99912 x 100088 (28.1 MB) with weight 6958780 (69.53/col)
Sat Feb  2 10:19:03 2008  sparse part has weight 6958780 (69.53/col)
Sat Feb  2 10:19:06 2008  filtering completed in 4 passes
Sat Feb  2 10:19:06 2008  matrix is 96049 x 96113 (27.1 MB) with weight 6726665 (69.99/col)
Sat Feb  2 10:19:06 2008  sparse part has weight 6726665 (69.99/col)
Sat Feb  2 10:19:07 2008  saving the first 48 matrix rows for later
Sat Feb  2 10:19:07 2008  matrix is 96001 x 96113 (17.4 MB) with weight 5308583 (55.23/col)
Sat Feb  2 10:19:07 2008  sparse part has weight 3978156 (41.39/col)
Sat Feb  2 10:19:07 2008  matrix includes 64 packed rows
Sat Feb  2 10:19:07 2008  using block size 21845 for processor cache size 512 kB
Sat Feb  2 10:19:08 2008  commencing Lanczos iteration
Sat Feb  2 10:19:08 2008  memory use: 16.5 MB
Sat Feb  2 10:20:46 2008  lanczos halted after 1520 iterations (dim = 95999)
Sat Feb  2 10:20:47 2008  recovered 16 nontrivial dependencies
Sat Feb  2 10:20:50 2008  prp36 factor: 192974421658293224031417306264104681
Sat Feb  2 10:20:50 2008  prp65 factor: 23788329512941257985749836483187483343956508948136539261231691863
Sat Feb  2 10:20:50 2008  elapsed time 20:31:06

例：Pentium 4 2.4GHz, Windows XP and Cygwin)

733580981910002956557433418100543110341193062221538415376826614702633534804661090144229597601266108117<102>

235975824491022308928990780915762844819<39>
3108712443286375789320997869432868788061093950925051865679921143<64>

Number: 12223_111
N=733580981910002956557433418100543110341193062221538415376826614702633534804661090144229597601266108117
  ( 102 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=235975824491022308928990780915762844819 (pp39)
 r2=3108712443286375789320997869432868788061093950925051865679921143 (pp64)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.79 hours.
Scaled time: 1.21 units (timescale=0.676).
Factorization parameters were as follows:
name: 12223_111
n: 733580981910002956557433418100543110341193062221538415376826614702633534804661090144229597601266108117
m: 10000000000000000000000
c5: 110
c0: 7
skew: 0.58
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:64059, largePrimes:2021282 encountered
Relations: rels:2053022, finalFF:193864
Max relations in full relation-set: 28
Initial matrix: 113224 x 193864 with sparse part having weight 15557092.
Pruned matrix : 89133 x 89763 with weight 4789183.
Total sieving time: 1.58 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 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: 1.79 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

122425816354820288361767842143707207307975385287956093205222507251781935581093580847171067707820327426732879<108>

2619324426169291429122454074993428764646076844357<49>
46739462714767849044740338669006128168735950121361654313347<59>

Number: n
N=122425816354820288361767842143707207307975385287956093205222507251781935581093580847171067707820327426732879
  ( 108 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=2619324426169291429122454074993428764646076844357 (pp49)
 r2=46739462714767849044740338669006128168735950121361654313347 (pp59)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.28 hours.
Scaled time: 1.86 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_2_112_3
n: 122425816354820288361767842143707207307975385287956093205222507251781935581093580847171067707820327426732879
skew: 0.23
deg: 5
c5: 11000
c0: 7
m: 10000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:78498, AFBsize:78252, largePrimes:4124095 encountered
Relations: rels:3582159, finalFF:227837
Max relations in full relation-set: 28
Initial matrix: 156817 x 227837 with sparse part having weight 11132713.
Pruned matrix : 101119 x 101967 with weight 3888696.
Total sieving time: 1.12 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.07 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,114,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 1.28 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

66009619638905539253901637431935754347497426208831751373830011892396353837800790236691341428997441<98>

6707176161219300156417206391262616855238919<43>
9841640960702845903948148581547115321867466062969048439<55>

Number: 12223_114
N=66009619638905539253901637431935754347497426208831751373830011892396353837800790236691341428997441
  ( 98 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=6707176161219300156417206391262616855238919 (pp43)
 r2=9841640960702845903948148581547115321867466062969048439 (pp55)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.23 hours.
Scaled time: 1.51 units (timescale=0.676).
Factorization parameters were as follows:
name: 12223_114
n: 66009619638905539253901637431935754347497426208831751373830011892396353837800790236691341428997441
m: 100000000000000000000000
c5: 11
c0: 70
skew: 1.45
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, 550001)
Primes: RFBsize:49098, AFBsize:63989, largePrimes:2303070 encountered
Relations: rels:2648109, finalFF:464927
Max relations in full relation-set: 28
Initial matrix: 113152 x 464927 with sparse part having weight 38989712.
Pruned matrix : 65830 x 66459 with weight 5847898.
Total sieving time: 2.03 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.23 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

26056382056363416603623427346255263209235340643419705748369477283704788210578051889509018585074773820852209<107>

199547644984836153697911566023<30>
130577246643745005872051606673712223079810458974387218354742399714928811490183<78>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 26056382056363416603623427346255263209235340643419705748369477283704788210578051889509018585074773820852209 (107 digits)
Using B1=502000, B2=314485411, polynomial Dickson(3), sigma=1772421864
Step 1 took 4922ms
Step 2 took 2922ms
********** Factor found in step 2: 199547644984836153697911566023
Found probable prime factor of 30 digits: 199547644984836153697911566023
Probable prime cofactor 130577246643745005872051606673712223079810458974387218354742399714928811490183 has 78 digits

58086897521216703275912831000039986472494161953461626501002431196310592545468815762540152169182614030699413029<110>

48431758142731886716282698692789115637<38>
1199355541668143121502827815414108595405173439839162449118989915332245617<73>

Number: 12223_122
N=58086897521216703275912831000039986472494161953461626501002431196310592545468815762540152169182614030699413029
  ( 110 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=48431758142731886716282698692789115637 (pp38)
 r2=1199355541668143121502827815414108595405173439839162449118989915332245617 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.53 hours.
Scaled time: 2.85 units (timescale=1.857).
Factorization parameters were as follows:
n: 58086897521216703275912831000039986472494161953461626501002431196310592545468815762540152169182614030699413029
m: 1000000000000000000000000
c5: 1100
c0: 7
skew: 0.36
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [400000, 720001)
Primes: RFBsize:63951, AFBsize:64124, largePrimes:1449343 encountered
Relations: rels:1472423, finalFF:194913
Max relations in full relation-set: 28
Initial matrix: 128142 x 194913 with sparse part having weight 9661941.
Pruned matrix : 101275 x 101979 with weight 3961287.
Total sieving time: 1.48 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,800000,800000,25,25,45,45,2.2,2.2,40000
total time: 1.53 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

26004728132387706855791962174940898345153664302600472813238770685579196217494089834515366430260047281323877068557919621749409<125>

2028013358477151338981105966488181<34>
100997020886744923001474572087204796497<39>
126961762538913698290780642666257974194325729545261037<54>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 26004728132387706855791962174940898345153664302600472813238770685579196217494089834515366430260047281323877068557919621749409 (125 digits)
Using B1=716000, B2=521581711, polynomial Dickson(3), sigma=3518255685
Step 1 took 7765ms
Step 2 took 4766ms
********** Factor found in step 2: 2028013358477151338981105966488181
Found probable prime factor of 34 digits: 2028013358477151338981105966488181
Composite cofactor 12822759782960615911248464548662628250867681715191527970142640677251818434976713082328187389 has 92 digits


Number: n
N=12822759782960615911248464548662628250867681715191527970142640677251818434976713082328187389
  ( 92 digits)
Divisors found:
 r1=100997020886744923001474572087204796497 (pp39)
 r2=126961762538913698290780642666257974194325729545261037 (pp54)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.79 hours.
Scaled time: 5.48 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_2_125_3
n:  12822759782960615911248464548662628250867681715191527970142640677251818434976713082328187389
m:  828222499879303485153
deg: 4
c4: 27251688
c3: 116985641150
c2: -35161021028079089
c1: -401192335890363161
c0: 14492918840677471284545
skew: 1635.250
type: gnfs
# adj. I(F,S) = 52.000
# E(F1,F2) = 1.265408e-04
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1201825203.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 26
lpba: 26
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 50000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 44/44
Sieved algebraic special-q in [100000, 650001)
Primes: RFBsize:56543, AFBsize:56107, largePrimes:2044474 encountered
Relations: rels:1905213, finalFF:138257
Max relations in full relation-set: 28
Initial matrix: 112725 x 138257 with sparse part having weight 10597229.
Pruned matrix : 104195 x 104822 with weight 6271740.
Total sieving time: 3.55 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.13 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,26,26,44,44,2.4,2.4,40000
total time: 3.79 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

574267086435090699768103539203445300361508173374549994005694693376903137493747861523667279345142059<99>

131553635963448102867023745823633166713<39>
4365269589315262899723003685730075290012150262832120397531843<61>

Number: 12223_127
N=574267086435090699768103539203445300361508173374549994005694693376903137493747861523667279345142059
  ( 99 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=131553635963448102867023745823633166713 (pp39)
 r2=4365269589315262899723003685730075290012150262832120397531843 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.18 hours.
Scaled time: 4.05 units (timescale=1.859).
Factorization parameters were as follows:
n: 574267086435090699768103539203445300361508173374549994005694693376903137493747861523667279345142059
m: 10000000000000000000000000
c5: 1100
c0: 7
skew: 0.36
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 950001)
Primes: RFBsize:78498, AFBsize:78502, largePrimes:1568919 encountered
Relations: rels:1614187, finalFF:218469
Max relations in full relation-set: 28
Initial matrix: 157067 x 218469 with sparse part having weight 11091121.
Pruned matrix : 130554 x 131403 with weight 5278948.
Total sieving time: 2.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 2.18 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

72527839001722245343433093247741785957812868472563178292041549315582239211939650085232450024037863578011<104>

17820426575258291271812216801778273828263811949<47>
4069927209397961264478571968552512687964124279931746688039<58>

Number: 12223_128
N=72527839001722245343433093247741785957812868472563178292041549315582239211939650085232450024037863578011
  ( 104 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=17820426575258291271812216801778273828263811949 (pp47)
 r2=4069927209397961264478571968552512687964124279931746688039 (pp58)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 6.18 hours.
Scaled time: 4.18 units (timescale=0.676).
Factorization parameters were as follows:
name: 12223_128
n: 72527839001722245343433093247741785957812868472563178292041549315582239211939650085232450024037863578011
m: 10000000000000000000000000
c5: 11000
c0: 7
skew: 0.23
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:63749, largePrimes:1505085 encountered
Relations: rels:1503095, finalFF:170416
Max relations in full relation-set: 28
Initial matrix: 127767 x 170416 with sparse part having weight 12944744.
Pruned matrix : 115378 x 116080 with weight 7079599.
Total sieving time: 5.82 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.18 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

10117564874327307322152950912916434067947268348447696910741179744918424161798658125524733589278467<98>

36382216950136191665275319616069319317105322207<47>
278090938993464323621253478672588687018603974937181<51>

Number: 12223_129
N=10117564874327307322152950912916434067947268348447696910741179744918424161798658125524733589278467
  ( 98 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=36382216950136191665275319616069319317105322207 (pp47)
 r2=278090938993464323621253478672588687018603974937181 (pp51)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 5.73 hours.
Scaled time: 3.88 units (timescale=0.676).
Factorization parameters were as follows:
name: 12223_129
n: 10117564874327307322152950912916434067947268348447696910741179744918424161798658125524733589278467
m: 100000000000000000000000000
c5: 11
c0: 70
skew: 1.45
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, 1000001)
Primes: RFBsize:63951, AFBsize:63989, largePrimes:1484925 encountered
Relations: rels:1479962, finalFF:166211
Max relations in full relation-set: 28
Initial matrix: 128005 x 166211 with sparse part having weight 12291328.
Pruned matrix : 116824 x 117528 with weight 6896601.
Total sieving time: 5.39 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.73 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

4186446393251757937089321095384294030882377489367556216227186001816279187420481326563415495130071266809768698299004771859<121>

6368333907666863327198144994659776908553310493558001<52>
657384875534192380051162907704171430655174054549731898566209496449859<69>

Number: 12223_130
N=4186446393251757937089321095384294030882377489367556216227186001816279187420481326563415495130071266809768698299004771859
  ( 121 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=6368333907666863327198144994659776908553310493558001 (pp52)
 r2=657384875534192380051162907704171430655174054549731898566209496449859 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.93 hours.
Scaled time: 3.60 units (timescale=1.860).
Factorization parameters were as follows:
n: 4186446393251757937089321095384294030882377489367556216227186001816279187420481326563415495130071266809768698299004771859
m: 100000000000000000000000000
c5: 11
c0: 7
skew: 0.91
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 900001)
Primes: RFBsize:78498, AFBsize:78392, largePrimes:1557066 encountered
Relations: rels:1615830, finalFF:230414
Max relations in full relation-set: 28
Initial matrix: 156955 x 230414 with sparse part having weight 11524693.
Pruned matrix : 122946 x 123794 with weight 5035615.
Total sieving time: 1.87 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.93 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

29136092131795957409269524543599123164049664084769673527820555195490040265768211379642590850877167057<101>

15627040354064215471639879571774527<35>
1864466429448898434587464768488764084002767058127712202281064401391<67>

Number: 12223_132
N=29136092131795957409269524543599123164049664084769673527820555195490040265768211379642590850877167057
  ( 101 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=15627040354064215471639879571774527 (pp35)
 r2=1864466429448898434587464768488764084002767058127712202281064401391 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.19 hours.
Scaled time: 5.93 units (timescale=1.858).
Factorization parameters were as follows:
n: 29136092131795957409269524543599123164049664084769673527820555195490040265768211379642590850877167057
m: 100000000000000000000000000
c5: 1100
c0: 7
skew: 0.36
type: snfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [600000, 1250001)
Primes: RFBsize:92938, AFBsize:92875, largePrimes:1687326 encountered
Relations: rels:1749659, finalFF:237564
Max relations in full relation-set: 28
Initial matrix: 185880 x 237564 with sparse part having weight 13207043.
Pruned matrix : 163716 x 164709 with weight 7305591.
Total sieving time: 3.08 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1200000,1200000,25,25,46,46,2.2,2.2,50000
total time: 3.19 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

1212635096935489162985899520225286878375226922845226590025671623905132630667309062931776714979850924179<103>

7288838851121349921757605985046744807118531852797<49>
166368762117567129996632571508461763704342293538361807<54>

Number: 12223_133
N=1212635096935489162985899520225286878375226922845226590025671623905132630667309062931776714979850924179
  ( 103 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=7288838851121349921757605985046744807118531852797 (pp49)
 r2=166368762117567129996632571508461763704342293538361807 (pp54)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.81 hours.
Scaled time: 7.07 units (timescale=1.858).
Factorization parameters were as follows:
n: 1212635096935489162985899520225286878375226922845226590025671623905132630667309062931776714979850924179
m: 1000000000000000000000000000
c5: 11
c0: 700
skew: 2.29
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, 1400001)
Primes: RFBsize:107126, AFBsize:106864, largePrimes:2327353 encountered
Relations: rels:2474302, finalFF:297230
Max relations in full relation-set: 28
Initial matrix: 214057 x 297230 with sparse part having weight 23663112.
Pruned matrix : 186367 x 187501 with weight 11941864.
Total sieving time: 3.64 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 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: 3.81 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

140117679768374411977764694698883397854653689968283909022051675788789766936274055898866478563309<96>

250936660198033341179351798590647701228125319<45>
558378674753209903140848242317261829328091333759211<51>

Number: n
N=140117679768374411977764694698883397854653689968283909022051675788789766936274055898866478563309
  ( 96 digits)
Divisors found:
 r1=250936660198033341179351798590647701228125319 (pp45)
 r2=558378674753209903140848242317261829328091333759211 (pp51)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.95 hours.
Scaled time: 10.00 units (timescale=1.438).
Factorization parameters were as follows:
name: KA_1_2_133_3
n:  140117679768374411977764694698883397854653689968283909022051675788789766936274055898866478563309
m:  7035295626774042355948
deg: 4
c4: 57195720
c3: 96456981219
c2: -312182490713950436
c1: -140354032571367830
c0: 208626920336365938460725
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.220
# E(F1,F2) = 3.549845e-05
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1201709066.
# 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, 1060001)
Primes: RFBsize:92938, AFBsize:92678, largePrimes:1805383 encountered
Relations: rels:1837680, finalFF:208790
Max relations in full relation-set: 28
Initial matrix: 185697 x 208790 with sparse part having weight 14018467.
Pruned matrix : 172473 x 173465 with weight 9746709.
Total sieving time: 6.36 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.47 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.95 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

3305754608214957636859188617439640563208150384163881738373873556942454204082790415027851957410195271119880909701<112>

146507265503071162570097163593367631761112907<45>
22563758847479551553339931144774084951879508530066949268898335852143<68>

Number: 12223_135
N=3305754608214957636859188617439640563208150384163881738373873556942454204082790415027851957410195271119880909701
  ( 112 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=146507265503071162570097163593367631761112907 (pp45)
 r2=22563758847479551553339931144774084951879508530066949268898335852143 (pp68)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.57 hours.
Scaled time: 4.77 units (timescale=1.857).
Factorization parameters were as follows:
n: 3305754608214957636859188617439640563208150384163881738373873556942454204082790415027851957410195271119880909701
m: 1000000000000000000000000000
c5: 11
c0: 7
skew: 0.91
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, 1150001)
Primes: RFBsize:107126, AFBsize:107064, largePrimes:2237518 encountered
Relations: rels:2366180, finalFF:298235
Max relations in full relation-set: 28
Initial matrix: 214255 x 298235 with sparse part having weight 20597668.
Pruned matrix : 176349 x 177484 with weight 9366601.
Total sieving time: 2.43 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 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: 2.57 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

822687591871552784709318643813197336735469821034016549030837174471470985203346819632076285577794861927265767<108>

14334185432356752323140436045325276938680249<44>
57393396768433653752614517111796708118174950424989467951382669983<65>

Number: 12223_136
N=822687591871552784709318643813197336735469821034016549030837174471470985203346819632076285577794861927265767
  ( 108 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=14334185432356752323140436045325276938680249 (pp44)
 r2=57393396768433653752614517111796708118174950424989467951382669983 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.35 hours.
Scaled time: 8.07 units (timescale=1.857).
Factorization parameters were as follows:
n: 822687591871552784709318643813197336735469821034016549030837174471470985203346819632076285577794861927265767
m: 1000000000000000000000000000
c5: 110
c0: 7
skew: 0.58
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, 1500001)
Primes: RFBsize:107126, AFBsize:107674, largePrimes:2376958 encountered
Relations: rels:2529390, finalFF:284184
Max relations in full relation-set: 28
Initial matrix: 214867 x 284184 with sparse part having weight 25136993.
Pruned matrix : 193207 x 194345 with weight 14316828.
Total sieving time: 4.15 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,137,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 4.35 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

82494148345793731369441602124244699834884418764952216407190783233269739489161851992590938580119974597<101>

160798003756692938654694712820528450413<39>
513029679588668744253094982652790979172390866713850617213539769<63>

Number: 12223_138
N=82494148345793731369441602124244699834884418764952216407190783233269739489161851992590938580119974597
  ( 101 digits)
Divisors found:
 r1=160798003756692938654694712820528450413 (pp39)
 r2=513029679588668744253094982652790979172390866713850617213539769 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.18 hours.
Scaled time: 7.76 units (timescale=1.859).
Factorization parameters were as follows:
name: 12223_138
n: 82494148345793731369441602124244699834884418764952216407190783233269739489161851992590938580119974597
skew: 4243.25
# norm 1.19e+14
c5: 193680
c4: -67658172
c3: -9221234168102
c2: -47361928099406800
c1: 41132723755137780999
c0: 104857604310820431424095
# alpha -5.94
Y1: 43351291357
Y0: -13361886298864081646
# Murphy_E 2.87e-09
# M 71500888182725105628880026829625266678105175754627294008919100390854775685964105360002187732656023157
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [750000, 1350001)
Primes: RFBsize:114155, AFBsize:113911, largePrimes:3839474 encountered
Relations: rels:3720898, finalFF:269923
Max relations in full relation-set: 28
Initial matrix: 228148 x 269923 with sparse part having weight 21108901.
Pruned matrix : 202141 x 203345 with weight 13187397.
Polynomial selection time: 0.28 hours.
Total sieving time: 3.64 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,48,48,2.5,2.5,50000
total time: 4.18 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

2912707834377726580270175322931490941526698320396340756910726140921366521664757928917626093117<94>

23791675036360545008892228841804329617387361131<47>
122425505136829100536474798340818755144635369207<48>

Number: n
N=2912707834377726580270175322931490941526698320396340756910726140921366521664757928917626093117
  ( 94 digits)
Divisors found:
 r1=23791675036360545008892228841804329617387361131 (pp47)
 r2=122425505136829100536474798340818755144635369207 (pp48)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.46 hours.
Scaled time: 8.16 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_2_139_3
n:  2912707834377726580270175322931490941526698320396340756910726140921366521664757928917626093117
m:  4536326114264324860543
deg: 4
c4: 6878280
c3: 33377034
c2: -62303463404508495
c1: -64779800640570195830
c0: -1496909709532791612456
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.762
# E(F1,F2) = 4.865863e-05
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1201707937.
# 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, 940001)
Primes: RFBsize:92938, AFBsize:92957, largePrimes:1797298 encountered
Relations: rels:1838774, finalFF:224475
Max relations in full relation-set: 48
Initial matrix: 185979 x 224475 with sparse part having weight 15141846.
Pruned matrix : 161730 x 162723 with weight 8462261.
Polynomial selection time: 0.17 hours.
Total sieving time: 4.09 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.12 hours.
Total square root time: 0.02 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: 4.46 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

3534979612696805971561202559424469132527119933396271700242344599515181935142280999950609689873517859851<103>

213109970184769549110217954567545220770332311910759<51>
16587584380176701656934488951246590820083044778169789<53>

Number: 12223_142
N=3534979612696805971561202559424469132527119933396271700242344599515181935142280999950609689873517859851
  ( 103 digits)
Divisors found:
 r1=213109970184769549110217954567545220770332311910759 (pp51)
 r2=16587584380176701656934488951246590820083044778169789 (pp53)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.53 hours.
Scaled time: 10.28 units (timescale=1.858).
Factorization parameters were as follows:
name: 12223_142
n: 3534979612696805971561202559424469132527119933396271700242344599515181935142280999950609689873517859851
skew: 2679.82
# norm 5.30e+13
c5: 264600
c4: 1519439634
c3: 5152788085665
c2: -11953194132301114
c1: -25402458644324276290
c0: 28335371836441837330020
# alpha -5.47
Y1: 61721076197
Y0: -26616948120759083489
# Murphy_E 2.59e-09
# M 1548383572242134576146617681526396291714054299406984080533713325745441083028013889105891537464365554166
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1620001)
Primes: RFBsize:135072, AFBsize:134902, largePrimes:4460724 encountered
Relations: rels:4495194, finalFF:394216
Max relations in full relation-set: 28
Initial matrix: 270054 x 394216 with sparse part having weight 33311263.
Pruned matrix : 199211 x 200625 with weight 15737659.
Polynomial selection time: 0.35 hours.
Total sieving time: 4.89 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 5.53 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

1562768184724668987496762769513031229067650568268404753149105657989919707992469799902963779679286937353998199943<112>

4258603296735103039935301521943217<34>
366967307314766659198303919155557622909193203642497744426932236576610478647479<78>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 1562768184724668987496762769513031229067650568268404753149105657989919707992469799902963779679286937353998199943 (112 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=231232791
Step 1 took 5481ms
Step 2 took 3675ms
********** Factor found in step 2: 4258603296735103039935301521943217
Found probable prime factor of 34 digits: 4258603296735103039935301521943217
Probable prime cofactor 366967307314766659198303919155557622909193203642497744426932236576610478647479 has 78 digits

Core 2 Quad Q6600

8493210625248353223145884402754220986747232289349364818181442507813118382434252707555080903653153<97>

1738141979248770825019597995643561<34>
4886373338108512536231001803679542238062728247725780926025401273<64>

Thu Jan 31 09:05:46 2008  Msieve v. 1.30
Thu Jan 31 09:05:46 2008  random seeds: ed732f90 2131a286
Thu Jan 31 09:05:46 2008  factoring 8493210625248353223145884402754220986747232289349364818181442507813118382434252707555080903653153 (97 digits)
Thu Jan 31 09:05:47 2008  commencing quadratic sieve (97-digit input)
Thu Jan 31 09:05:48 2008  using multiplier of 1
Thu Jan 31 09:05:48 2008  using 64kb Pentium 2 sieve core
Thu Jan 31 09:05:48 2008  sieve interval: 18 blocks of size 65536
Thu Jan 31 09:05:48 2008  processing polynomials in batches of 6
Thu Jan 31 09:05:48 2008  using a sieve bound of 2404033 (88167 primes)
Thu Jan 31 09:05:48 2008  using large prime bound of 360604950 (28 bits)
Thu Jan 31 09:05:48 2008  using double large prime bound of 2527301234494800 (43-52 bits)
Thu Jan 31 09:05:48 2008  using trial factoring cutoff of 52 bits
Thu Jan 31 09:05:48 2008  polynomial 'A' values have 13 factors
Fri Feb 01 21:32:16 2008  88420 relations (21239 full + 67181 combined from 1335767 partial), need 88263
Fri Feb 01 21:32:44 2008  begin with 1357006 relations
Fri Feb 01 21:34:37 2008  reduce to 233037 relations in 12 passes
Fri Feb 01 21:34:38 2008  attempting to read 233037 relations
Fri Feb 01 21:35:21 2008  recovered 233037 relations
Fri Feb 01 21:35:21 2008  recovered 220181 polynomials
Fri Feb 01 21:35:54 2008  attempting to build 88420 cycles
Fri Feb 01 21:35:56 2008  found 88420 cycles in 6 passes
Fri Feb 01 21:36:02 2008  distribution of cycle lengths:
Fri Feb 01 21:36:02 2008     length 1 : 21239
Fri Feb 01 21:36:02 2008     length 2 : 15084
Fri Feb 01 21:36:02 2008     length 3 : 14823
Fri Feb 01 21:36:02 2008     length 4 : 12183
Fri Feb 01 21:36:02 2008     length 5 : 9263
Fri Feb 01 21:36:02 2008     length 6 : 6192
Fri Feb 01 21:36:02 2008     length 7 : 4006
Fri Feb 01 21:36:02 2008     length 9+: 5630
Fri Feb 01 21:36:02 2008  largest cycle: 18 relations
Fri Feb 01 21:36:10 2008  matrix is 88167 x 88420 with weight 5866985 (avg 66.35/col)
Fri Feb 01 21:36:58 2008  filtering completed in 3 passes
Fri Feb 01 21:36:58 2008  matrix is 84507 x 84571 with weight 5639170 (avg 66.68/col)
Fri Feb 01 21:37:03 2008  saving the first 48 matrix rows for later
Fri Feb 01 21:37:03 2008  matrix is 84459 x 84571 with weight 4459365 (avg 52.73/col)
Fri Feb 01 21:37:03 2008  matrix includes 64 packed rows
Fri Feb 01 21:37:04 2008  using block size 10922 for processor cache size 256 kB
Fri Feb 01 21:37:07 2008  commencing Lanczos iteration
Fri Feb 01 21:43:24 2008  lanczos halted after 1337 iterations (dim = 84459)
Fri Feb 01 21:43:25 2008  recovered 17 nontrivial dependencies
Fri Feb 01 21:57:06 2008  prp34 factor: 1738141979248770825019597995643561
Fri Feb 01 21:57:06 2008  prp64 factor: 4886373338108512536231001803679542238062728247725780926025401273
Fri Feb 01 21:57:06 2008  elapsed time 36:51:20

Pentium3 750MHz, Windows Me)

4616503145026132276328029386285299255606452544697679073230547318885072673351337200374052419135004823660330017098096533201835850513359157691<139>

60639450252175372852507882819631652825439122617058853904357<59>
76130359457876522538422881892238302321490455243664764661805980418638409324517663<80>

Number: n
N=4616503145026132276328029386285299255606452544697679073230547318885072673351337200374052419135004823660330017098096533201835850513359157691
  ( 139 digits)
SNFS difficulty: 148 digits.
Divisors found:

Sat Feb 02 15:21:37 2008  prp59 factor: 60639450252175372852507882819631652825439122617058853904357
Sat Feb 02 15:21:37 2008  prp80 factor: 76130359457876522538422881892238302321490455243664764661805980418638409324517663
Sat Feb 02 15:21:37 2008  elapsed time 01:02:11 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 12.68 hours.
Scaled time: 22.27 units (timescale=1.756).
Factorization parameters were as follows:
name: KA_1_2_146_3
n: 4616503145026132276328029386285299255606452544697679073230547318885072673351337200374052419135004823660330017098096533201835850513359157691
type: snfs
skew: 0.36
deg: 5
c5: 1100
c0: 7
m: 100000000000000000000000000000
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1799990)
Primes: RFBsize:183072, AFBsize:182582, largePrimes:6521885 encountered
Relations: rels:5914180, finalFF:433290
Max relations in full relation-set: 28
Initial matrix: 365721 x 433290 with sparse part having weight 25005284.
Pruned matrix : 
Total sieving time: 12.49 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.3,2.3,100000
total time: 12.68 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

21016444981682612225056203512237555804076311423045693833897029194807082815809370173856574425843518830726347224042488806215387489<128>

9977951392526419577166133150855561477582761570070861812038027<61>
2106288571161423902638665809382880013459521046170628246982291811907<67>

Number: n
N=21016444981682612225056203512237555804076311423045693833897029194807082815809370173856574425843518830726347224042488806215387489
  ( 128 digits)
SNFS difficulty: 149 digits.
Divisors found:

Sat Feb  2 23:03:45 2008  prp61 factor: 9977951392526419577166133150855561477582761570070861812038027
Sat Feb  2 23:03:45 2008  prp67 factor: 2106288571161423902638665809382880013459521046170628246982291811907
Sat Feb  2 23:03:45 2008  elapsed time 00:35:31 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 21.00 hours.
Scaled time: 17.45 units (timescale=0.831).
Factorization parameters were as follows:
name: KA_1_2_147_3
n: 21016444981682612225056203512237555804076311423045693833897029194807082815809370173856574425843518830726347224042488806215387489
type: snfs
deg: 5
c5: 11000
c0: 7
skew: 0.23
m: 100000000000000000000000000000
rlim: 2500000
alim: 2500000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved  special-q in [100000, 3200001)
Primes: RFBsize:183072, AFBsize:182532, largePrimes:3031135 encountered
Relations: rels:3055901, finalFF:404994
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 20.86 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2500000,2500000,26,26,45,45,2.5,2.5,100000
total time: 21.00 hours.
 --------- CPU info (if available) ----------
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Total of 2 processors activated (12009.47 BogoMIPS).

7467946400444542587897321230605352887524164210767878171509535787468659295903381926066164834853581528940057496818754513522465336643510976143<139>

2490019097316894784751546161679<31>
2999152258909011442964542293733101419514316878763530379221746764878442585998011725357379568000480610857964417<109>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 7467946400444542587897321230605352887524164210767878171509535787468659295903381926066164834853581528940057496818754513522465336643510976143 (139 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1937733051
Step 1 took 7301ms
Step 2 took 4389ms
********** Factor found in step 2: 2490019097316894784751546161679
Found probable prime factor of 31 digits: 2490019097316894784751546161679
Probable prime cofactor 2999152258909011442964542293733101419514316878763530379221746764878442585998011725357379568000480610857964417 has 109 digits

Core 2 Quad Q6600

23661843404809634730029166935800718231242292112479791060562512791288451051547462018471943743762421554592515366323622549<119>

68241356669473223079132276622237<32>
151148305752490290170716101146479<33>
2294022325606514181685656134858589548523107480053902263<55>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 23661843404809634730029166935800718231242292112479791060562512791288451051547462018471943743762421554592515366323622549 (119 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=552456828
Step 1 took 6756ms
Step 2 took 4035ms
********** Factor found in step 2: 151148305752490290170716101146479
Found probable prime factor of 33 digits: 151148305752490290170716101146479
Composite cofactor 156547195729448570330739228648254921953631297430761643676132908131266366819040570422331 has 87 digits

Thu Jan 31 18:17:58 2008  
Thu Jan 31 18:17:58 2008  
Thu Jan 31 18:17:58 2008  Msieve v. 1.32
Thu Jan 31 18:17:58 2008  random seeds: 83626f43 2e9ca7e0
Thu Jan 31 18:17:58 2008  factoring 156547195729448570330739228648254921953631297430761643676132908131266366819040570422331 (87 digits)
Thu Jan 31 18:17:59 2008  no P-1/P+1/ECM available, skipping
Thu Jan 31 18:17:59 2008  commencing quadratic sieve (86-digit input)
Thu Jan 31 18:17:59 2008  using multiplier of 3
Thu Jan 31 18:17:59 2008  using 32kb Intel Core sieve core
Thu Jan 31 18:17:59 2008  sieve interval: 19 blocks of size 32768
Thu Jan 31 18:17:59 2008  processing polynomials in batches of 11
Thu Jan 31 18:17:59 2008  using a sieve bound of 1474127 (56333 primes)
Thu Jan 31 18:17:59 2008  using large prime bound of 117930160 (26 bits)
Thu Jan 31 18:17:59 2008  using double large prime bound of 338006235664960 (41-49 bits)
Thu Jan 31 18:17:59 2008  using trial factoring cutoff of 49 bits
Thu Jan 31 18:17:59 2008  polynomial 'A' values have 11 factors
Thu Jan 31 18:56:57 2008  56548 relations (15649 full + 40899 combined from 592255 partial), need 56429
Thu Jan 31 18:56:57 2008  begin with 607904 relations
Thu Jan 31 18:56:57 2008  reduce to 135305 relations in 10 passes
Thu Jan 31 18:56:57 2008  attempting to read 135305 relations
Thu Jan 31 18:56:58 2008  recovered 135305 relations
Thu Jan 31 18:56:58 2008  recovered 114562 polynomials
Thu Jan 31 18:56:58 2008  attempting to build 56548 cycles
Thu Jan 31 18:56:58 2008  found 56548 cycles in 5 passes
Thu Jan 31 18:56:59 2008  distribution of cycle lengths:
Thu Jan 31 18:56:59 2008     length 1 : 15649
Thu Jan 31 18:56:59 2008     length 2 : 10984
Thu Jan 31 18:56:59 2008     length 3 : 10147
Thu Jan 31 18:56:59 2008     length 4 : 7618
Thu Jan 31 18:56:59 2008     length 5 : 5079
Thu Jan 31 18:56:59 2008     length 6 : 3170
Thu Jan 31 18:56:59 2008     length 7 : 1835
Thu Jan 31 18:56:59 2008     length 9+: 2066
Thu Jan 31 18:56:59 2008  largest cycle: 20 relations
Thu Jan 31 18:56:59 2008  matrix is 56333 x 56548 with weight 3176684 (avg 56.18/col)
Thu Jan 31 18:56:59 2008  filtering completed in 3 passes
Thu Jan 31 18:56:59 2008  matrix is 51951 x 52015 with weight 2948955 (avg 56.69/col)
Thu Jan 31 18:57:00 2008  saving the first 48 matrix rows for later
Thu Jan 31 18:57:00 2008  matrix is 51903 x 52015 with weight 2312723 (avg 44.46/col)
Thu Jan 31 18:57:00 2008  matrix includes 64 packed rows
Thu Jan 31 18:57:00 2008  using block size 20806 for processor cache size 4096 kB
Thu Jan 31 18:57:01 2008  commencing Lanczos iteration
Thu Jan 31 18:57:11 2008  lanczos halted after 822 iterations (dim = 51901)
Thu Jan 31 18:57:11 2008  recovered 16 nontrivial dependencies
Thu Jan 31 18:57:11 2008  prp32 factor: 68241356669473223079132276622237
Thu Jan 31 18:57:11 2008  prp55 factor: 2294022325606514181685656134858589548523107480053902263
Thu Jan 31 18:57:11 2008  elapsed time 00:39:13

Core 2 Quad Q6600

13812630256374128058975491572338375909272705190772233288419791120726713032137426286286429659495567817867100412416309<116>

8511935397927024191899434347488658797919067426392222579<55>
1622736735024800828915830534770168951277226403012313894450871<61>

Number: 12223_152
N=13812630256374128058975491572338375909272705190772233288419791120726713032137426286286429659495567817867100412416309
  ( 116 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=8511935397927024191899434347488658797919067426392222579 (pp55)
 r2=1622736735024800828915830534770168951277226403012313894450871 (pp61)
Version: GGNFS-0.77.1-20060513-k8
Total time: 33.22 hours.
Scaled time: 66.25 units (timescale=1.994).
Factorization parameters were as follows:
name: 12223_152
n: 13812630256374128058975491572338375909272705190772233288419791120726713032137426286286429659495567817867100412416309
m: 1000000000000000000000000000000
c5: 1100
c0: 7
skew: 0.36
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:175784, largePrimes:5725226 encountered
Relations: rels:5716673, finalFF:530496
Max relations in full relation-set: 28
Initial matrix: 352153 x 530496 with sparse part having weight 50516089.
Pruned matrix : 288883 x 290707 with weight 27675748.
Total sieving time: 31.64 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.29 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 33.22 hours.
 --------- CPU info (if available) ----------

(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
Core 2 Duo E6300 1.86GHz, Windows Vista)

4426423631582280997263144548425906821817226170288044990471077946959857011196243187970733067231824314700177486874047257761<121>

4264116202467938770951293907576359430192576324566865877<55>
1038063556762454948769332965821742017541903031000047864051013665693<67>

Number: 12223_155
N=4426423631582280997263144548425906821817226170288044990471077946959857011196243187970733067231824314700177486874047257761
  ( 121 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=4264116202467938770951293907576359430192576324566865877 (pp55)
 r2=1038063556762454948769332965821742017541903031000047864051013665693 (pp67)
Version: GGNFS-0.77.1-20060513-k8
Total time: 27.06 hours.
Scaled time: 54.16 units (timescale=2.002).
Factorization parameters were as follows:
name: 12223_155
n: 4426423631582280997263144548425906821817226170288044990471077946959857011196243187970733067231824314700177486874047257761
m: 10000000000000000000000000000000
c5: 11
c0: 7
skew: 0.91
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2400001)
Primes: RFBsize:216816, AFBsize:216272, largePrimes:5579968 encountered
Relations: rels:5574910, finalFF:586449
Max relations in full relation-set: 28
Initial matrix: 433153 x 586449 with sparse part having weight 43927938.
Pruned matrix : 323992 x 326221 with weight 27346196.
Total sieving time: 25.55 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.23 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 27.06 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

3671975392439472899341330402417834604335376052564536472613853563638553912495032350819060859819301654223<103>

20014512109901815744898373231694000857379<41>
183465645941118388677264534427318636676528636593091062790132837<63>

Number: 12223_156
N=3671975392439472899341330402417834604335376052564536472613853563638553912495032350819060859819301654223
  ( 103 digits)
Divisors found:
 r1=20014512109901815744898373231694000857379 (pp41)
 r2=183465645941118388677264534427318636676528636593091062790132837 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.31 hours.
Scaled time: 9.87 units (timescale=1.858).
Factorization parameters were as follows:
name: 12223_156
n: 3671975392439472899341330402417834604335376052564536472613853563638553912495032350819060859819301654223
skew: 19530.82
# norm 1.35e+14
c5: 6720
c4: -442157698
c3: -8623263312341
c2: 181075102603430862
c1: 1613496398437236320040
c0: 174910907146950939185280
# alpha -6.11
Y1: 48802931441
Y0: -55912780045085853073
# Murphy_E 2.56e-09
# M 144302031692213904811710240983196039277303241981002758121166447200177541282832116968539726573935138066
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1560001)
Primes: RFBsize:135072, AFBsize:134658, largePrimes:4325792 encountered
Relations: rels:4231829, finalFF:317982
Max relations in full relation-set: 28
Initial matrix: 269812 x 317982 with sparse part having weight 25295169.
Pruned matrix : 235496 x 236909 with weight 15884839.
Polynomial selection time: 0.35 hours.
Total sieving time: 4.63 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 5.31 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

43023803330287187273746316838635004481199686462719115124977818948619389370183740498431606534990591450192166754949<113>

411917824030997137139094198484004214186454078374563<51>
104447539825442495437964036453728510925486296174666075535780023<63>

Number: 12223_159
N=43023803330287187273746316838635004481199686462719115124977818948619389370183740498431606534990591450192166754949
  ( 113 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=411917824030997137139094198484004214186454078374563 (pp51)
 r2=104447539825442495437964036453728510925486296174666075535780023 (pp63)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 82.36 hours.
Scaled time: 55.59 units (timescale=0.675).
Factorization parameters were as follows:
name: 12223_159
n: 43023803330287187273746316838635004481199686462719115124977818948619389370183740498431606534990591450192166754949
m: 100000000000000000000000000000000
c5: 11
c0: 70
skew: 1.45
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, 4000001)
Primes: RFBsize:283146, AFBsize:282983, largePrimes:5738850 encountered
Relations: rels:5793505, finalFF:674155
Max relations in full relation-set: 28
Initial matrix: 566194 x 674155 with sparse part having weight 43837589.
Pruned matrix : 489774 x 492668 with weight 30368801.
Total sieving time: 71.12 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 10.68 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 82.36 hours.
 --------- CPU info (if available) ----------

Pentium 4 3.06GHz, Windows XP and Cygwin)

143248230202753553250627324007667704007774209136426780649557690599037990179649906991462317956463890376489091431485736813433581<126>

260689377498163087443735013320304256953<39>
549497764648131597130953367858390114380546441669938042117834896217907773886247268939477<87>

Number: 12223_161
N=143248230202753553250627324007667704007774209136426780649557690599037990179649906991462317956463890376489091431485736813433581
  ( 126 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=260689377498163087443735013320304256953 (pp39)
 r2=549497764648131597130953367858390114380546441669938042117834896217907773886247268939477 (pp87)
Version: GGNFS-0.77.1-20060513-k8
Total time: 78.87 hours.
Scaled time: 157.58 units (timescale=1.998).
Factorization parameters were as follows:
name: 12223_161
n: 143248230202753553250627324007667704007774209136426780649557690599037990179649906991462317956463890376489091431485736813433581
m: 100000000000000000000000000000000
c5: 110
c0: 7
skew: 0.58
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, 4750001)
Primes: RFBsize:315948, AFBsize:316567, largePrimes:5881541 encountered
Relations: rels:6019866, finalFF:761148
Max relations in full relation-set: 28
Initial matrix: 632582 x 761148 with sparse part having weight 52817466.
Pruned matrix : 536094 x 539320 with weight 37129453.
Total sieving time: 74.82 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 3.51 hours.
Time per square root: 0.24 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: 78.87 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

96703762136885993527051098298870383339158901947010897471096334946417565075450884442730993018763399928976813<107>

22667491190849706134196427735425561647719849624523<50>
4266187260102382245262999179515923658804140846831092944231<58>

Number: n
N=96703762136885993527051098298870383339158901947010897471096334946417565075450884442730993018763399928976813
  ( 107 digits)
Divisors found:

Tue Feb  5 21:58:19 2008  prp50 factor: 22667491190849706134196427735425561647719849624523
Tue Feb  5 21:58:19 2008  prp58 factor: 4266187260102382245262999179515923658804140846831092944231
Tue Feb  5 21:58:19 2008  elapsed time 00:31:25 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 10.14 hours.
Scaled time: 8.49 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_1_2_164_3
n: 96703762136885993527051098298870383339158901947010897471096334946417565075450884442730993018763399928976813
skew: 5982.01
# norm 2.22e+14
c5: 408000
c4: 39585968
c3: -38249412823790
c2: -4391565209106421
c1: 696703255789243605102
c0: 645439348323787340602296
# alpha -4.96
Y1: 248694786263
Y0: -188346099305469065669
# Murphy_E 1.38e-09
# M 51061564494728018280537336885306695758903469801669314827242486514533346876854629373845711032256659328639940
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 49/49
Sieved  special-q in [100000, 1600000)
Primes: RFBsize:183072, AFBsize:183292, largePrimes:7923702 encountered
Relations: rels:7188725, finalFF:454354
Max relations in full relation-set: 28
Initial matrix: 366442 x 454354 with sparse part having weight 31541384.
Pruned matrix : 317266 x 319162 with weight 16959885.
Total sieving time: 9.92 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,28,28,49,49,2.6,2.6,150000
total time: 10.14 hours.
 --------- CPU info (if available) ----------
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Total of 2 processors activated (12009.47 BogoMIPS).

45905296118825831622186591617833147208955244311512453516285503045623177834727084405817833581225020542229541491682063403005260492580868462169391569689<149>

101989684325869449705527286805060691736463<42>
450097442915430795779994542402496558803504752094572069564062884789059603979985386323743477433742726962278103<108>

Number: 12223_166
N=45905296118825831622186591617833147208955244311512453516285503045623177834727084405817833581225020542229541491682063403005260492580868462169391569689
  ( 149 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=101989684325869449705527286805060691736463 (pp42)
 r2=450097442915430795779994542402496558803504752094572069564062884789059603979985386323743477433742726962278103 (pp108)
Version: GGNFS-0.77.1-20060513-k8
Total time: 143.84 hours.
Scaled time: 286.53 units (timescale=1.992).
Factorization parameters were as follows:
name: 12223_166
n: 45905296118825831622186591617833147208955244311512453516285503045623177834727084405817833581225020542229541491682063403005260492580868462169391569689
m: 1000000000000000000000000000000000
c5: 110
c0: 7
skew: 0.58
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 7050001)
Primes: RFBsize:380800, AFBsize:381423, largePrimes:6105750 encountered
Relations: rels:6346470, finalFF:883846
Max relations in full relation-set: 28
Initial matrix: 762290 x 883846 with sparse part having weight 64492068.
Pruned matrix : 667219 x 671094 with weight 48020573.
Total sieving time: 137.22 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 5.98 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 143.84 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

12578184853578493590843081426594856665866236721438944347249379666792448515202451602575097480932615233325329033881056110139160463334591151818691182692417641475992819<164>

14423979966512432432545987637860750601<38>
2524959991453561105199033616344355110857<40>
345365030444882216665762967853873494551988141411835789407073140545858646627934040752067<87>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 12578184853578493590843081426594856665866236721438944347249379666792448515202451602575097480932615233325329033881056110139160463334591151818691182692417641475992819 (164 digits)
Using B1=3688000, B2=5390467575, polynomial Dickson(6), sigma=3907417159
Step 1 took 44987ms
Step 2 took 20251ms
********** Factor found in step 2: 14423979966512432432545987637860750601
Found probable prime factor of 38 digits: 14423979966512432432545987637860750601
Composite cofactor 872032884320468672694123584074545785109069729929641744419454227378653256268266835716774250817819754046224470320333987436891419 has 126 digits


GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 872032884320468672694123584074545785109069729929641744419454227378653256268266835716774250817819754046224470320333987436891419 (126 digits)
Using B1=5024000, B2=8373791045, polynomial Dickson(6), sigma=2872842747
Step 1 took 46112ms
Step 2 took 19041ms
********** Factor found in step 2: 2524959991453561105199033616344355110857
Found probable prime factor of 40 digits: 2524959991453561105199033616344355110857
Probable prime cofactor 345365030444882216665762967853873494551988141411835789407073140545858646627934040752067 has 87 digits

9661006595943356569335913717277784341104880983330214595309914724528045964926430879738402044162773517773405484364046472591892578927791104378358520147919<151>

56614438302582048814610056890653305828644096999449225595894307044593297<71>
170645631849406535892466311038242263821975056450557183563575141057584461818693727<81>

SNFS difficulty: 171 digits.
Divisors found:
 r1=56614438302582048814610056890653305828644096999449225595894307044593297
 r2=170645631849406535892466311038242263821975056450557183563575141057584461818693727
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.722).
Factorization parameters were as follows:
n: 9661006595943356569335913717277784341104880983330214595309914724528045964926430879738402044162773517773405484364046472591892578927791104378358520147919
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 11
c0: 70
skew: 1.45
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 5500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1040091 x 1040339
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:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

2256436732038782590955720508896276694051180539535330232627385110920722833921004383641867215954888860165018041347441759922767711<127>

24901499544721371734264989415030097233317<41>
90614492030344526375011699819556672642162000003956105269511487846415420194738095567283<86>

Number: 12223_171
N=2256436732038782590955720508896276694051180539535330232627385110920722833921004383641867215954888860165018041347441759922767711
  ( 127 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=24901499544721371734264989415030097233317 (pp41)
 r2=90614492030344526375011699819556672642162000003956105269511487846415420194738095567283 (pp86)
Version: Msieve v. 1.42
Total time: 4.35 hours.
Scaled time: 3.72 units (timescale=0.854).
Factorization parameters were as follows:
name: 12223_171
n: 2256436732038782590955720508896276694051180539535330232627385110920722833921004383641867215954888860165018041347441759922767711
m: 10000000000000000000000000000000000
deg: 5
c5: 110
c0: 7
skew: 0.58
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 6100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1055791 x 1056020
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.11 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 4.35 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

242489663535667639241651384176198619583752763717021557825727032888978929081904591019907021815847107960181536767<111>

111487462047472904549551202867568979<36>
2175039767542759059001773194327055783343681329625388358095052729519501204773<76>

Number: 12223_172
N=242489663535667639241651384176198619583752763717021557825727032888978929081904591019907021815847107960181536767
  ( 111 digits)
Divisors found:
 r1=111487462047472904549551202867568979 (pp36)
 r2=2175039767542759059001773194327055783343681329625388358095052729519501204773 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.82 hours.
Scaled time: 31.26 units (timescale=1.858).
Factorization parameters were as follows:
name: 12223_172
n: 242489663535667639241651384176198619583752763717021557825727032888978929081904591019907021815847107960181536767
skew: 32353.91
# norm 3.37e+15
c5: 40320
c4: -2363866290
c3: 72861550321301
c2: 4433137019570566225
c1: -78112732505301434752569
c0: -447267567058045530535974555
# alpha -6.74
Y1: 109208032219
Y0: -1431643645502336882936
# Murphy_E 9.03e-10
# M 13490647646898210578774861483495916783026841972197418764250733041946106194943433052920323966293034641219362176
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, 2040001)
Primes: RFBsize:176302, AFBsize:176469, largePrimes:7677263 encountered
Relations: rels:7584793, finalFF:522842
Max relations in full relation-set: 28
Initial matrix: 352854 x 522842 with sparse part having weight 54628482.
Pruned matrix : 258861 x 260689 with weight 29452672.
Polynomial selection time: 0.86 hours.
Total sieving time: 15.33 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000
total time: 16.82 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

122618913144754375951904387940956358791099135075255049650156160072526856706033072506090152693256190714902393465370885883019266801805029246244068471<147>

141422547865519888350704511496496652756932998678416733<54>
867039344117558423237895390185875791242765125037159793404971188994349368205650029347897941987<93>

N=122618913144754375951904387940956358791099135075255049650156160072526856706033072506090152693256190714902393465370885883019266801805029246244068471
  ( 147 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=141422547865519888350704511496496652756932998678416733 (pp54)
 r2=867039344117558423237895390185875791242765125037159793404971188994349368205650029347897941987 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 111.63 hours.
Scaled time: 214.45 units (timescale=1.921).
Factorization parameters were as follows:
n: 122618913144754375951904387940956358791099135075255049650156160072526856706033072506090152693256190714902393465370885883019266801805029246244068471
m: 100000000000000000000000000000000000
deg: 5
c5: 11000
c0: 7
skew: 0.23
# Murphy_E = 9.352e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3350000, 9350001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1569823 x 1570071
Total sieving time: 108.60 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.38 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 111.63 hours.
 --------- CPU info (if available) ----------

8431410552359016550175347987964021209650068754373021158393449428122968746400643323386466035464983950103794984412652606735703073419837137431921384580884874255994630667<166>

7999846741615579561815855786151933925013931026677407<52>
1053946509812296992789070189315556378032509188650081892690955159631748514339120833310088458348702731061598628860181<115>

N=8431410552359016550175347987964021209650068754373021158393449428122968746400643323386466035464983950103794984412652606735703073419837137431921384580884874255994630667
  ( 166 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=7999846741615579561815855786151933925013931026677407 (pp52)
 r2=1053946509812296992789070189315556378032509188650081892690955159631748514339120833310088458348702731061598628860181 (pp115)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 78.41 hours.
Scaled time: 150.86 units (timescale=1.924).
Factorization parameters were as follows:
n: 8431410552359016550175347987964021209650068754373021158393449428122968746400643323386466035464983950103794984412652606735703073419837137431921384580884874255994630667
m: 1000000000000000000000000000000000000
deg: 5
c5: 11
c0: 7
skew: 0.91
# Murphy_E = 1.334e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 7650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1206567 x 1206796
Total sieving time: 76.73 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.43 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 78.41 hours.
 --------- CPU info (if available) ----------

3712269825839036678847635599525164418705555150721436125108577983692923672493286557346400317398399410981387908691336247594897763495464816211712976514944499<154>

18702947904893144186210013383389000210388096307912582410321059526684684157053<77>
198485813290845823053293494777132361536716657721588645080005629464466051924783<78>

N=3712269825839036678847635599525164418705555150721436125108577983692923672493286557346400317398399410981387908691336247594897763495464816211712976514944499
  ( 154 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=18702947904893144186210013383389000210388096307912582410321059526684684157053 (pp77)
 r2=198485813290845823053293494777132361536716657721588645080005629464466051924783 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 130.74 hours.
Scaled time: 245.13 units (timescale=1.875).
Factorization parameters were as follows:
n: 3712269825839036678847635599525164418705555150721436125108577983692923672493286557346400317398399410981387908691336247594897763495464816211712976514944499
m: 1000000000000000000000000000000000000
deg: 5
c5: 110
c0: 7
skew: 0.58
# Murphy_E = 7.977e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 10600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1609563 x 1609790
Total sieving time: 127.61 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.53 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 130.74 hours.
 --------- CPU info (if available) ----------

20461952823193912436139417390171425257459230461224514197517483543242768527364375424223731710372191905560788633027269273827263400369122117088739353979593<152>

550629209067242881906772234977227181<36>
37161037747808792982739143902236719103783647038028709329673087657403688116441543251226505235900343762151590534519053<116>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=469152978
Step 1 took 16473ms
Step 2 took 10047ms
********** Factor found in step 2: 550629209067242881906772234977227181
Found probable prime factor of 36 digits: 550629209067242881906772234977227181
Probable prime cofactor 37161037747808792982739143902236719103783647038028709329673087657403688116441543251226505235900343762151590534519053 has 116 digits

GMP-ECM 6.3

430614967917784229713296380973224614182270391479145591520752272805922234074970187218914371929384040559714690123170609613410717736346185884960266795845377173<156>

18212811372339453973220173399154088990710351<44>
23643519889069784132283684936048255270454932084939533391370859135591257621004279701994166075949435123233336604123<113>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 430614967917784229713296380973224614182270391479145591520752272805922234074970187218914371929384040559714690123170609613410717736346185884960266795845377173 (156 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7704051082
Step 1 took 29618ms
Step 2 took 9767ms
********** Factor found in step 2: 18212811372339453973220173399154088990710351
Found probable prime factor of 44 digits: 18212811372339453973220173399154088990710351
Probable prime cofactor 23643519889069784132283684936048255270454932084939533391370859135591257621004279701994166075949435123233336604123 has 113 digits

Core i7-4930K

1371880902070796185252036301747728935730295973901513110237009753773556272250465987226567231573434334116325399807949733766843356758799210731449441604912364120496802625898434397829<178>

1731828379602973986073992616346184317003627009<46>
792157536063303994473573258853847305178316240058345204598548489011747971282297312000872839692167093603336718715479549439809574478981<132>

Number: n
N=1371880902070796185252036301747728935730295973901513110237009753773556272250465987226567231573434334116325399807949733766843356758799210731449441604912364120496802625898434397829
  ( 178 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Feb 13 17:34:09 2012  prp46 factor: 1731828379602973986073992616346184317003627009
Mon Feb 13 17:34:09 2012  prp132 factor: 792157536063303994473573258853847305178316240058345204598548489011747971282297312000872839692167093603336718715479549439809574478981
Mon Feb 13 17:34:09 2012  elapsed time 03:27:51 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.662).
Factorization parameters were as follows:
name: KA_12223_188
n: 1371880902070796185252036301747728935730295973901513110237009753773556272250465987226567231573434334116325399807949733766843356758799210731449441604912364120496802625898434397829
m: 10000000000000000000000000000000000000
#  c178, diff: 189.04
skew: 0.23
deg: 5
c5: 11000
c0: 7
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8057488 hash collisions in 78944891 relations (73401384 unique)
Msieve: matrix is 1331379 x 1331607 (373.6 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,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44761.89 BogoMIPS).

313133463659480908409287413278754739951056100962882554085052343532118711401141018488225228132673282151953364976323836479314076023851774460441863769237034089786921502650062736289444177<183>

15885316469983979493321506088907572039457861081261460125571298661822392261858297931<83>
19712132537690431468014363075745543571484343328144095639084552008772850692473917086571509809510998867<101>

Number: 12223_189
N=313133463659480908409287413278754739951056100962882554085052343532118711401141018488225228132673282151953364976323836479314076023851774460441863769237034089786921502650062736289444177
  ( 183 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=15885316469983979493321506088907572039457861081261460125571298661822392261858297931
 r2=19712132537690431468014363075745543571484343328144095639084552008772850692473917086571509809510998867
Version: 
Total time: 472.13 hours.
Scaled time: 949.45 units (timescale=2.011).
Factorization parameters were as follows:
n: 313133463659480908409287413278754739951056100962882554085052343532118711401141018488225228132673282151953364976323836479314076023851774460441863769237034089786921502650062736289444177
m: 10000000000000000000000000000000000000
deg: 5
c5: 110000
c0: 7
skew: 0.14
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5150000, 10150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1679794 x 1680042
Total sieving time: 472.13 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,190,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 472.13 hours.
 --------- CPU info (if available) ----------

14580425103543856429218239557227894838393288607886896737485332695873128231906081172844350334927303706014484669393955056785526229808737097235908647250272221184437867212089<170>

1863228909427870138828633619159<31>

7825353626582025776538354806681030279556975533141499321701053340837219702251845795735815749187118825483332759959817834394476302231364380271<139>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3684019515
Step 1 took 8095ms
Step 2 took 5253ms
********** Factor found in step 2: 1863228909427870138828633619159
Found probable prime factor of 31 digits: 1863228909427870138828633619159
Composite cofactor 7825353626582025776538354806681030279556975533141499321701053340837219702251845795735815749187118825483332759959817834394476302231364380271 has 139 digits

GMP-ECM 6.2.1

7825353626582025776538354806681030279556975533141499321701053340837219702251845795735815749187118825483332759959817834394476302231364380271<139>

16095251512041582297942640941199566527<38>

486190204653063446368322743633937785440054226678842774506522619071295628710803996012852107510700219473<102>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3841205249
Step 1 took 74974ms
********** Factor found in step 1: 16095251512041582297942640941199566527
Found probable prime factor of 38 digits: 16095251512041582297942640941199566527
Composite cofactor 486190204653063446368322743633937785440054226678842774506522619071295628710803996012852107510700219473 has 102 digits

GMP-ECM 6.3

486190204653063446368322743633937785440054226678842774506522619071295628710803996012852107510700219473<102>

951928276482113151070588200786740009387173165117<48>
510742475735459487502298897205810118003137014135759269<54>

Number: xz2
N=486190204653063446368322743633937785440054226678842774506522619071295628710803996012852107510700219473
  ( 102 digits)
Divisors found:
 r1=951928276482113151070588200786740009387173165117 (pp48)
 r2=510742475735459487502298897205810118003137014135759269 (pp54)
Version: Msieve-1.40
Total time: 4.41 hours.
Scaled time: 8.58 units (timescale=1.946).
Factorization parameters were as follows:
name: xz2
n: 486190204653063446368322743633937785440054226678842774506522619071295628710803996012852107510700219473
skew: 2841.16
# norm 2.89e+014
c5: 1826760
c4: -8122758334
c3: -23834901556079
c2: 127338745435466174
c1: 131616305989648469520
c0: -597151192767193727280
# alpha -6.70
Y1: 53463975653
Y0: -12162606049840496273
# Murphy_E 2.72e-009
# M 169280641283787297926204769678769786083228368446096124485891898866164759176143852427065325336487956302
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 253810 x 254036
Total sieving time: 4.20 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 4.41 hours.
 --------- CPU info (if available) ----------

181422908351649392885166720305970460299469152998703036750017884188672839650609393973391411835701242189086878222055929950913341318653536011602608274517912857627127482976740313571581<180>

5943646488646680244240359352879281079399923899363990543540725827473602014899<76>
30523838976324769139063174073507687058095369419409360605544779846787974296574340527115711137602941061519<104>

N=181422908351649392885166720305970460299469152998703036750017884188672839650609393973391411835701242189086878222055929950913341318653536011602608274517912857627127482976740313571581
  ( 180 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=5943646488646680244240359352879281079399923899363990543540725827473602014899 (pp76)
 r2=30523838976324769139063174073507687058095369419409360605544779846787974296574340527115711137602941061519 (pp104)
Version: Msieve v. 1.48
Total time:
Scaled time: 35.25 units (timescale=0.663).
Factorization parameters were as follows:
n: 181422908351649392885166720305970460299469152998703036750017884188672839650609393973391411835701242189086878222055929950913341318653536011602608274517912857627127482976740313571581
m: 100000000000000000000000000000000000000
deg: 5
c5: 1100
c0: 7
skew: 0.36
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 21430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2485690 x 2485915
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time:

402166655971584329548269280570313639355418500184908982256107065097882592882016302491757882016748356491816794597294378081046140198709715814923109845169<150>

9006289801007527438832578725595682998619<40>

44653976815913054746832935775652172253819476987160954136507566626876476461866672058562974796392188154385172451<110>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=208861121
Step 1 took 20764ms
Step 2 took 12153ms
********** Factor found in step 2: 9006289801007527438832578725595682998619
Found probable prime factor of 40 digits: 9006289801007527438832578725595682998619
Composite cofactor 44653976815913054746832935775652172253819476987160954136507566626876476461866672058562974796392188154385172451 has 110 digits

GMP-ECM 6.3

44653976815913054746832935775652172253819476987160954136507566626876476461866672058562974796392188154385172451<110>

10890502543894832094398953776321620047786091<44>
4100267791677426132456268915229285845122287704832535130695627129961<67>

Number: xz6
N=44653976815913054746832935775652172253819476987160954136507566626876476461866672058562974796392188154385172451
  ( 110 digits)
Divisors found:
 r1=10890502543894832094398953776321620047786091 (pp44)
 r2=4100267791677426132456268915229285845122287704832535130695627129961 (pp67)
Version: Msieve-1.40
Total time: 13.86 hours.
Scaled time: 27.06 units (timescale=1.952).
Factorization parameters were as follows:
name: xz6
n: 44653976815913054746832935775652172253819476987160954136507566626876476461866672058562974796392188154385172451
skew: 11868.91
# norm 2.14e+014
c5: 50220
c4: -390546390
c3: -2154564582113
c2: 150091511179948480
c1: -560523821398734402296
c0: -4956110698586314343797608
# alpha -5.18
Y1: 114569201857
Y0: -976780016660745595427
# Murphy_E 1.11e-009
# M 44114464084102109290857710922686429710177035752782709636369453468562205497336823969147578390835541271282642765
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 436199 x 436429
Total sieving time: 13.51 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 13.86 hours.
 --------- CPU info (if available) ----------

352412179127720740013907904143564416698937087894671770725472299693443506152847629222680315553965315424565961339<111>

4691572442730948975926971646226019258011380478343997<52>
75116005013147098086271597306014879649488629658821732388887<59>

Number: 12223_195
N=352412179127720740013907904143564416698937087894671770725472299693443506152847629222680315553965315424565961339
  ( 111 digits)
Divisors found:
 r1=4691572442730948975926971646226019258011380478343997 (pp52)
 r2=75116005013147098086271597306014879649488629658821732388887 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.99 hours.
Scaled time: 38.89 units (timescale=1.853).
Factorization parameters were as follows:
name: 12223_195
n: 352412179127720740013907904143564416698937087894671770725472299693443506152847629222680315553965315424565961339
skew: 34427.94
# norm 1.21e+15
c5: 2940
c4: -1952990832
c3: -13969156205551
c2: 2547772263330774383
c1: -2753925105065485237741
c0: -55382786679887219119766175
# alpha -5.69
Y1: 32531887111
Y0: -2604602399830499331596
# Murphy_E 8.81e-10
# M 309779091830781573053660742294457742119204166492528584961833291120202055958849242113189450704981453714341382827
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, 2040001)
Primes: RFBsize:176302, AFBsize:175883, largePrimes:7508048 encountered
Relations: rels:7241972, finalFF:409200
Max relations in full relation-set: 28
Initial matrix: 352265 x 409200 with sparse part having weight 39556757.
Pruned matrix : 313974 x 315799 with weight 27717209.
Total sieving time: 20.26 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000
total time: 20.99 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)

Core 2 Quad Q6600

514182318637236440740249085071662076341031083587975225357453440629819084963854880011619570378400957940082842666244297134256632656621429053308274332387473754590025969921<168>

51991580729985996332293233594061686548889389713930533000769003735050581381147<77>
9889722747757950946442030523265408977186175660815709788658262677469977687011637109637229843<91>

Number: n
N=514182318637236440740249085071662076341031083587975225357453440629819084963854880011619570378400957940082842666244297134256632656621429053308274332387473754590025969921  ( 168 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Mar 11 13:23:39 2021  p77 factor: 51991580729985996332293233594061686548889389713930533000769003735050581381147
Thu Mar 11 13:23:39 2021  p91 factor: 9889722747757950946442030523265408977186175660815709788658262677469977687011637109637229843
Thu Mar 11 13:23:39 2021  elapsed time 01:32:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.862).
Factorization parameters were as follows:
#
# N = 11x10^196+7 = 12(195)3
#
n: 514182318637236440740249085071662076341031083587975225357453440629819084963854880011619570378400957940082842666244297134256632656621429053308274332387473754590025969921
m: 1000000000000000000000000000000000000000
deg: 5
c5: 110
c0: 7
skew: 0.58
# Murphy_E = 1.935e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3808115 hash collisions in 28423139 relations (26101463 unique)
Msieve: matrix is 1799450 x 1799675 (626.7 MB)

Sieving start time : 2021/03/11 05:27:28
Sieving end time  : 2021/03/11 11:49:43

Total sieving time: 6hrs 22min 15secs.

Total relation processing time: 1hrs 18min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 4sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

735450683748539033296755593179403696500886000747542748299771015244983693168602322530964526609713172169852781303594419501144860222194656726244284231047871519383033752834099733043089<180>

18740247943554111712218372947606809954504721350589<50>
39244447883706061651697247487758996902949181278352806050686696632641364409999662795332778619643605427944000453017889338125922982501<131>

Number: n
N=735450683748539033296755593179403696500886000747542748299771015244983693168602322530964526609713172169852781303594419501144860222194656726244284231047871519383033752834099733043089  ( 180 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Mar  2 16:43:51 2021  p50 factor: 18740247943554111712218372947606809954504721350589
Tue Mar  2 16:43:51 2021  p131 factor: 39244447883706061651697247487758996902949181278352806050686696632641364409999662795332778619643605427944000453017889338125922982501
Tue Mar  2 16:43:51 2021  elapsed time 01:41:06 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 11x10^197+7 = 12(196)3
#
n: 735450683748539033296755593179403696500886000747542748299771015244983693168602322530964526609713172169852781303594419501144860222194656726244284231047871519383033752834099733043089
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1100
c0: 7
skew: 0.36
# Murphy_E = 1.822e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3332430 hash collisions in 25063253 relations (22981737 unique)
Msieve: matrix is 2126616 x 2126841 (746.4 MB)

Sieving start time : 2021/03/02 09:16:00
Sieving end time  : 2021/03/02 14:46:08

Total sieving time: 5hrs 30min 8secs.

Total relation processing time: 1hrs 26min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 59sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

90852757047313159453443346407930243749992349665298486245740926955474370479735929344899586147822933622433918129388777509634081865310307478713335002506807643411317152157<167>

32276034564203421005080964501988195557<38>

2814867386096921032550976399679534542696872220813913606016222972936067156360104966302567882566673175465263894775169277001267123801<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2952330203
Step 1 took 23571ms
Step 2 took 13385ms
********** Factor found in step 2: 32276034564203421005080964501988195557
Found probable prime factor of 38 digits: 32276034564203421005080964501988195557
Composite cofactor 2814867386096921032550976399679534542696872220813913606016222972936067156360104966302567882566673175465263894775169277001267123801 has 130 digits

GMP-ECM 6.3

2814867386096921032550976399679534542696872220813913606016222972936067156360104966302567882566673175465263894775169277001267123801<130>

22764990341568361020975179930522404251385190195564120237112259<62>
123648960261451831698550431001808083119763441455810235056574155452339<69>

Number: 12223_199
N = 2814867386096921032550976399679534542696872220813913606016222972936067156360104966302567882566673175465263894775169277001267123801 (130 digits)
Divisors found:
r1=22764990341568361020975179930522404251385190195564120237112259 (pp62)
r2=123648960261451831698550431001808083119763441455810235056574155452339 (pp69)
Version: Msieve v. 1.47
Total time: 117.04 hours.
Factorization parameters were as follows:
# Murphy_E = 9.184e-11, selected by Erik Branger
n: 2814867386096921032550976399679534542696872220813913606016222972936067156360104966302567882566673175465263894775169277001267123801
Y0: -13251727767353152417108366
Y1: 142940840472851
c0: -89645338275348583905245469394245
c1: 1270025442978752583467234334
c2: -1100208458911319938317
c3: -5435680151451944
c4: 3342508340
c5: 6888
skew: 615787.32
type: gnfs
# selected mechanically
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4750000, 9250000)
Relations: 17383932
Relations in full relation-set: 2285974 relations
Pruned matrix : 1345517 x 1345744
Polynomial selection time: 0.00 hours.
Total sieving time: 114.92 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.75 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9500000,9500000,28,28,53,53,2.5,2.5,100000
total time: 117.04 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

21503797060629207788041311113142595607106794758714414939107947093557289679513580365488711214575423194000923782261062194974276727463284975122226731773876242441686214605714508575399<179>

100976386897930840667582898895472872933029457<45>
212958670053878241979387237481202642382576231680421065274351642757327182970914673715613208743456367259359926467607280806945021519135607<135>

Number: n
N=21503797060629207788041311113142595607106794758714414939107947093557289679513580365488711214575423194000923782261062194974276727463284975122226731773876242441686214605714508575399
  ( 179 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Sep 25 20:10:48 2012  prp45 factor: 100976386897930840667582898895472872933029457
Tue Sep 25 20:10:48 2012  prp135 factor: 212958670053878241979387237481202642382576231680421065274351642757327182970914673715613208743456367259359926467607280806945021519135607
Tue Sep 25 20:10:48 2012  elapsed time 04:39:19 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.076).
Factorization parameters were as follows:
name: KA_12223_200
n: 21503797060629207788041311113142595607106794758714414939107947093557289679513580365488711214575423194000923782261062194974276727463284975122226731773876242441686214605714508575399
m: 10000000000000000000000000000000000000000
#  c179, diff: 201.04
skew: 0.914
deg: 5
c5: 11
c0: 7
# Murphy_E = 2.005e-11
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19250000)
Primes: RFBsize:1013012, AFBsize:1012396,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6886528 hash collisions in 62304445 relations (57079335 unique)
Msieve: matrix is 1676130 x 1676356 (474.6 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,201,5,0,0,0,0,0,0,0,0,15700000,15700000,29,29,56,56,2.6,2.6,100000
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.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<202>

31990693821143556763266864693346437912729065345467633585711<59>
20865654655812898395992923997272867580686336368160221022013537<62>
1831025958267534989991940676855458113126117114026561838609198777018936857213364289<82>

Number: 12223_201
N=1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
  ( 202 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=31990693821143556763266864693346437912729065345467633585711
 r2=20865654655812898395992923997272867580686336368160221022013537
 r3=1831025958267534989991940676855458113126117114026561838609198777018936857213364289
Version: 
Total time: 380.54 hours.
Scaled time: 1398.87 units (timescale=3.676).
Factorization parameters were as follows:
n: 1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 10000000000000000000000000000000000000000
deg: 5
c5: 110
c0: 7
skew: 0.58
# Murphy_E = 1.197e-11
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9000000, 20000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39900175
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3467821 x 3468068
Total sieving time: 339.96 hours.
Total relation processing time: 7.98 hours.
Matrix solve time: 31.50 hours.
Time per square root: 1.10 hours.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,18000000,18000000,29,29,56,56,2.6,2.6,100000
total time: 380.54 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991712k/38797312k available (5073k kernel code, 1057684k absent, 747916k reserved, 7245k data, 1252k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.73 BogoMIPS (lpj=3333367)
Total of 12 processors activated (80000.80 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

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

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

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

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

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

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

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

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

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

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

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

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

--------------------------------------------------------------------------

GGNFS / Msieve v1.39

Core i7 980

556992424951976426714263614837335327230996108460318762100298818301088651316790239265389484461201143161600054981208824394180435870909429292404160852205274893<156>

26655033324417590506173629011292903957739885802202936552469400968224933780447<77>
20896331967506427750387622087357480240283485640046826949247575055931309070531219<80>

Sat May 14 09:58:59 2022  Msieve v. 1.53 (SVN unknown)
Sat May 14 09:58:59 2022  random seeds: 0bb0bce8 033bd73b
Sat May 14 09:58:59 2022  factoring 556992424951976426714263614837335327230996108460318762100298818301088651316790239265389484461201143161600054981208824394180435870909429292404160852205274893 (156 digits)
Sat May 14 09:59:00 2022  searching for 15-digit factors
Sat May 14 09:59:00 2022  commencing number field sieve (156-digit input)
Sat May 14 09:59:00 2022  R0: -10000000000000000000000000000000000000000
Sat May 14 09:59:00 2022  R1: 1
Sat May 14 09:59:00 2022  A0: 7
Sat May 14 09:59:00 2022  A1: 0
Sat May 14 09:59:00 2022  A2: 0
Sat May 14 09:59:00 2022  A3: 0
Sat May 14 09:59:00 2022  A4: 0
Sat May 14 09:59:00 2022  A5: 1100
Sat May 14 09:59:00 2022  skew 0.36, size 3.237e-14, alpha 0.468, combined = 9.994e-12 rroots = 1
Sat May 14 09:59:00 2022  
Sat May 14 09:59:00 2022  commencing square root phase
Sat May 14 09:59:00 2022  reading relations for dependency 1
Sat May 14 09:59:01 2022  read 1856172 cycles
Sat May 14 09:59:03 2022  cycles contain 6301738 unique relations
Sat May 14 09:59:52 2022  read 6301738 relations
Sat May 14 10:00:19 2022  multiplying 6301738 relations
Sat May 14 10:02:47 2022  multiply complete, coefficients have about 209.20 million bits
Sat May 14 10:02:48 2022  initial square root is modulo 32184821
Sat May 14 10:05:59 2022  GCD is N, no factor found
Sat May 14 10:05:59 2022  reading relations for dependency 2
Sat May 14 10:05:59 2022  read 1856169 cycles
Sat May 14 10:06:02 2022  cycles contain 6302122 unique relations
Sat May 14 10:06:52 2022  read 6302122 relations
Sat May 14 10:07:18 2022  multiplying 6302122 relations
Sat May 14 10:09:45 2022  multiply complete, coefficients have about 209.22 million bits
Sat May 14 10:09:46 2022  initial square root is modulo 32234101
Sat May 14 10:13:04 2022  GCD is 1, no factor found
Sat May 14 10:13:04 2022  reading relations for dependency 3
Sat May 14 10:13:05 2022  read 1854927 cycles
Sat May 14 10:13:07 2022  cycles contain 6295388 unique relations
Sat May 14 10:13:56 2022  read 6295388 relations
Sat May 14 10:14:21 2022  multiplying 6295388 relations
Sat May 14 10:16:40 2022  multiply complete, coefficients have about 208.99 million bits
Sat May 14 10:16:41 2022  initial square root is modulo 31639961
Sat May 14 10:19:19 2022  sqrtTime: 1219
Sat May 14 10:19:19 2022  p77 factor: 26655033324417590506173629011292903957739885802202936552469400968224933780447
Sat May 14 10:19:19 2022  p80 factor: 20896331967506427750387622087357480240283485640046826949247575055931309070531219
Sat May 14 10:19:19 2022  elapsed time 00:20:20

7830500921335557448942206316268815999081376486356219600666676817728679380821879649762616647439400498718488693570469406660488423111768608013694245618942834337337478339<166>

11098729746812011970982214704898624850345698529759051261977506678481<68>
705531272494024165220424473432448637695056654841358104648958828651274136620139368653560856983611219<99>

Number: n
N=7830500921335557448942206316268815999081376486356219600666676817728679380821879649762616647439400498718488693570469406660488423111768608013694245618942834337337478339  ( 166 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Nov  9 20:22:59 2023  prp68 factor: 11098729746812011970982214704898624850345698529759051261977506678481
Thu Nov  9 20:22:59 2023  prp99 factor: 705531272494024165220424473432448637695056654841358104648958828651274136620139368653560856983611219
Thu Nov  9 20:22:59 2023  elapsed time 03:17:00 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 11x10^204+7 = 12(203)3
#
n: 7830500921335557448942206316268815999081376486356219600666676817728679380821879649762616647439400498718488693570469406660488423111768608013694245618942834337337478339
m: 50000000000000000000000000000000000000000
deg: 5
c5: 176
c0: 35
skew: 0.72
# Murphy_E = 9.225e-12
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3739054 hash collisions in 20114112 relations (16723276 unique)
Msieve: matrix is 2429967 x 2430192 (683.0 MB)

Sieving start time: 2023/11/08 19:25:56
Sieving end time  : 2023/11/09 17:05:33

Total sieving time: 21hrs 39min 37secs.

Total relation processing time: 3hrs 5min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 42sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18800000,18800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1318612819314081586171347742175231656297574951151388739046523057743254096690281823521655218709917167140168542693086872610014264993227125064432217307392622960645401038107910478176957840351949748864194867<202>

1965892939139606515822302110827975019320658610462713<52>
670744979577161610918873656705012850888243475899701689215708968136737425371176105857829429432181001401514952777444272294504803087127331467632968459659<150>

Number: n
N=1318612819314081586171347742175231656297574951151388739046523057743254096690281823521655218709917167140168542693086872610014264993227125064432217307392622960645401038107910478176957840351949748864194867
  ( 202 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Feb  6 19:11:52 2014  prp52 factor: 1965892939139606515822302110827975019320658610462713
Thu Feb  6 19:11:52 2014  prp150 factor: 670744979577161610918873656705012850888243475899701689215708968136737425371176105857829429432181001401514952777444272294504803087127331467632968459659
Thu Feb  6 19:11:52 2014  elapsed time 06:47:30 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.697).
Factorization parameters were as follows:
#
#  11*10^205+7 - 12(204)3
#
#  c202, diff: 206.04
#
skew: 0.914
n: 1318612819314081586171347742175231656297574951151388739046523057743254096690281823521655218709917167140168542693086872610014264993227125064432217307392622960645401038107910478176957840351949748864194867
m: 100000000000000000000000000000000000000000
deg: 5
c5: 11
c0: 7
# Murphy_E = 1.235e-11
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19500000)
Primes: RFBsize:1211050, AFBsize:1210743,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8631963 hash collisions in 61425308 relations (55244341 unique)
Msieve: matrix is 2033651 x 2033876 (576.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 5hrs 40min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 50sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19000000,19000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

159300746292702164711228513735333094602011419111873152997448234828773637123210409420735955908840465541139819516072671419145643397474652779464185274526483192404753406583863271409<177>

1735784046092506279553067958450706100020287253<46>
293684347874005611238106555315466611341377192696404686457019077<63>
312493736490286981301476308643383351776807599952737025720534911415689<69>

#
# N = 11x10^206+7 = 12(205)3
#
n: 159300746292702164711228513735333094602011419111873152997448234828773637123210409420735955908840465541139819516072671419145643397474652779464185274526483192404753406583863271409
m: 100000000000000000000000000000000000000000
deg: 5
c5: 110
c0: 7
skew: 0.58
# Murphy_E = 7.371e-12
type: snfs
lss: 1
rlim: 19800000
alim: 19800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 159300746292702164711228513735333094602011419111873152997448234828773637123210409420735955908840465541139819516072671419145643397474652779464185274526483192404753406583863271409 (177 digi
ts)
Using B1=47460000, B2=240494804566, polynomial Dickson(12), sigma=1:3619816281
Step 1 took 128643ms
Step 2 took 38859ms
********** Factor found in step 2: 1735784046092506279553067958450706100020287253
Found prime factor of 46 digits: 1735784046092506279553067958450706100020287253
Composite cofactor 91774519215861283115398355651006236070167920385727507639195069299851191716046029205121981221497968431503813420292838680128950099053 has 131 digits



CADO

STA:Fri 16 Jul 2021 07:37:25 AEST (91,774,519,215,861,283,115,398,355,651,006,236,070,167,920,385,727,507,639,195,069,299,851,191,716,046,029,205,121,981,221,497,968,431,503,813,420,292,838,680,128,950,0
99,053 - C131)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 91774519215861283115398355651006236070167920385727507639195069299851191716046029205121981221497968431503813420292838680128950099053 2>&1 | tee -a log30

Debug:root: Looking for parameter file for c131 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.0vcd0yo0
Info:Database: Opened connection to database /tmp/cado.0vcd0yo0/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0

Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9177451921586128311539835565100623607016792038572750763919506929985119171604602920512
1981221497968431503813420292838680128950099053
Debug:root: Root parameter dictionary:
N = 91774519215861283115398355651006236070167920385727507639195069299851191716046029205121981221497968431503813420292838680128950099053
...
n: 91774519215861283115398355651006236070167920385727507639195069299851191716046029205121981221497968431503813420292838680128950099053
skew: 46086.54
c0: 165104780061149341883518670100
c1: 11882782231076582340225115
c2: -361222687847751274058
c3: -32129147761755155
c4: 132460255998
c5: 791280
Y0: -21748077732142219661013882
Y1: 160980116922002461
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 1.58e-09
# f(x) = 791280*x^5+132460255998*x^4-32129147761755155*x^3-361222687847751274058*x^2+11882782231076582340225115*x+165104780061149341883518670100
# g(x) = 160980116922002461*x-21748077732142219661013882
...
Info:Square Root: Factors: 312493736490286981301476308643383351776807599952737025720534911415689 293684347874005611238106555315466611341377192696404686457019077
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1855.76/256.061
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38744/38.580/46.795/52.690/0.837
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38744/38.000/42.178/47.610/1.230
Info:Polynomial Selection (size optimized): Total time: 5796.52
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2252.62
Info:Polynomial Selection (root optimized): Rootsieve time: 2251.71
Info:Generate Factor Base: Total cpu/real time for makefb: 58.81/5.31305
Info:Generate Free Relations: Total cpu/real time for freerel: 307.24/20.5883
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19199751
Info:Lattice Sieving: Average J: 7613.42 for 83203 special-q, max bucket fill: 0.643651
Info:Lattice Sieving: Total CPU time: 269976s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.11/71.7506
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 71.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 330.24/106.311
Info:Filtering - Singleton removal: Total cpu/real time for purge: 176.76/77.7337
Info:Filtering - Merging: Total cpu/real time for merge: 823.51/709.219
Info:Filtering - Merging: Total cpu/real time for replay: 63.14/51.3425
Info:Linear Algebra: Total cpu/real time for bwc: 61539.5/0.000168562
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2644.27
Info:Linear Algebra: Lingen CPU time 362.04, WCT time 35.38
Info:Linear Algebra: Mksol: WCT time 1436.32
Info:Quadratic Characters: Total cpu/real time for characters: 61.65/14.5931
Info:Square Root: Total cpu/real time for sqrt: 1855.76/256.061
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 343293/24218.8
Info:root: Cleaning up computation data in /tmp/cado.0vcd0yo0
312493736490286981301476308643383351776807599952737025720534911415689 293684347874005611238106555315466611341377192696404686457019077

END:Fri 16 Jul 2021 14:21:05 AEST (91,774,519,215,861,283,115,398,355,651,006,236,070,167,920,385,727,507,639,195,069,299,851,191,716,046,029,205,121,981,221,497,968,431,503,813,420,292,838,680,128,950,0
99,053 - C131)

1058886242035917517672671211158383335188556883466017424209419269059746167966074709096771123655396714054481119652953831915960349552524492625749275777915990960959477057<166>

13807185278716637924680469868769<32>

76690956242048761906214253670229312274829736592230113159107716473882206274064537596615559378087263892010204356583626570801206838726753<134>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 1058886242035917517672671211158383335188556883466017424209419269059746167966074709096771123655396714054481119652953831915960349552524492625749275777915990960959477057 (166 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2233712096
Step 1 took 17035ms
Step 2 took 5772ms
********** Factor found in step 2: 13807185278716637924680469868769
Found probable prime factor of 32 digits: 13807185278716637924680469868769
Composite cofactor 76690956242048761906214253670229312274829736592230113159107716473882206274064537596615559378087263892010204356583626570801206838726753 has 134 digits

76690956242048761906214253670229312274829736592230113159107716473882206274064537596615559378087263892010204356583626570801206838726753<134>

2483499764675214714411359857878911<34>
262650048280016893022482731708792310206903536687<48>
117571631494968264932751055912252866469598565940307729<54>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3369977731
Step 1 took 16255ms
Step 2 took 10842ms
********** Factor found in step 2: 2483499764675214714411359857878911
Found probable prime factor of 34 digits: 2483499764675214714411359857878911
Composite cofactor 30880194688513769501869071734940071441529053512901226983695550188374809264259435406957038859221153823 has 101 digits

N = 30880194688513769501869071734940071441529053512901226983695550188374809264259435406957038859221153823 (101 digits)
Divisors found:
r1=262650048280016893022482731708792310206903536687 (pp48)
r2=117571631494968264932751055912252866469598565940307729 (pp54)
Version: Msieve v. 1.48
Total time: 1.78 hours.
Factorization parameters were as follows:
n: 30880194688513769501869071734940071441529053512901226983695550188374809264259435406957038859221153823
Y0: -2927876158387994641878326
Y1: 109949581470697
c0: 109972560703984240548121402359
c1: -70375393207441965520990
c2: -28633623789756457
c3: 5666225456
c4: 420
skew: 5636516.80
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 4741961
Relations: 306674 relations
Pruned matrix : 192759 x 192985
Polynomial selection time: 0.00 hours.
Total sieving time: 1.69 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,100,4,58,1500,0.003,0.4,220,15,10000,2000,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 1.78 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

GMP-ECM 6.3

6848515852815313012978572424444808695254835947399727258604986324436856037479286714057898891406423829072041828648576891509465107916885413129003171387272721937884859166856027<172>

81587233803790127287981989675174846743797866198673<50>
83941022798804166000388487570042073519204891372854422657901240117278411265266484078598266194104491165817286034833295513899<122>

#
# N = 11x10^208+7 = 12(207)3
#
n: 6848515852815313012978572424444808695254835947399727258604986324436856037479286714057898891406423829072041828648576891509465107916885413129003171387272721937884859166856027
m: 50000000000000000000000000000000000
deg: 6
c6: 176
c0: 175
skew: 1.00
# Murphy_E = 5.823e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6848515852815313012978572424444808695254835947399727258604986324436856037479286714057898891406423829072041828648576891509465107916885413129003171387272721937884859166856027 (172 digits)
Using B1=44230000, B2=240492041806, polynomial Dickson(12), sigma=1:3122762634
Step 1 took 103979ms
Step 2 took 11134ms
********** Factor found in step 2: 81587233803790127287981989675174846743797866198673
Found prime factor of 50 digits: 81587233803790127287981989675174846743797866198673
Prime cofactor 83941022798804166000388487570042073519204891372854422657901240117278411265266484078598266194104491165817286034833295513899 has 122 digits

2123263491689406513048297387410144656527634793418146831114281481647601865929776709583617012230980003168950315435290764461111016425328085018894380022040831<154>

864002917910039623229546061387179911<36>
369394546681604097407102582359058047793147<42>
6652704041877762634729892060296794570340092904075612436132995633256448703243<76>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1405287669
Step 1 took 6583ms
Step 2 took 5226ms
********** Factor found in step 2: 864002917910039623229546061387179911
Found probable prime factor of 36 digits: 864002917910039623229546061387179911
Composite cofactor 2457472593756311449732487890386728195035979746397030384343982787922948783815975626407876743029942882498566666052075721 has 118 digits

N = 2457472593756311449732487890386728195035979746397030384343982787922948783815975626407876743029942882498566666052075721 (118 digits)
Divisors found:
r1=369394546681604097407102582359058047793147 (pp42)
r2=6652704041877762634729892060296794570340092904075612436132995633256448703243 (pp76)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 7.37 hours.
Factorization parameters were as follows:
n: 2457472593756311449732487890386728195035979746397030384343982787922948783815975626407876743029942882498566666052075721
Y0: -51060951287260314431151
Y1: 4021017118069
c0: -57215985124067434962225715360
c1: 4471171249891879327357712
c2: -68025338896754443326
c3: -249769573553213
c4: 2260098874
c5: 7080
skew: 145943.81 
type: gnfs
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10328158
Relations: 1023530 relations
Pruned matrix : 590666 x 590901
Polynomial selection time: 0.00 hours.
Total sieving time: 7.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.26 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,117,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 7.37 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

6289274913917649459992662664484366777225741790956536731882900690307378352462751020160914804436497611021219647846059525914465384342741911409009992908872891<154>

1588887940212700177267932029335822937<37>
3958287274227609188780834166106069469063627202942026106965265497204551566411970520474842596094493082089447005425601843<118>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3895159151
Step 1 took 6615ms
Step 2 took 5163ms
********** Factor found in step 2: 1588887940212700177267932029335822937
Found probable prime factor of 37 digits: 1588887940212700177267932029335822937
Probable prime cofactor 3958287274227609188780834166106069469063627202942026106965265497204551566411970520474842596094493082089447005425601843 has 118 digits

GMP-ECM 6.3

13364143577494578933074807143746175181444949171457909577700945434425971018227693059299330181797176753737934217451903985034938862045855385040357981773555635872442676869247306811246027<182>

70971287522166207215335271247005756442775227761574381651033749657596468217406031330469628407452073890775559294771443316463321042506475909915064665201553550971829499533264253296324924823346753<191>

346007275802820456246810564573708454037797257060336391703354955946853423817775773020228975750121237405372001624215665501022297255519832897416360881074152623<156>

5592013298164085829557065896781954187481072264147683504840220349177500200118470406392374966832342712018193511192312404941543162468621396131734563307704411118027<160>

7671011248491948925012378222696430190310815428495714694170728815805072630529230039680049094471990348473120079220625257153217989218742372574042692664421152464835387072253952314204620738230227968507012001645780595131<214>

4502423804549214757427561243315127863826116558271190865826925622699<67>
1703751486197549311331675835271784514267480080577961443937642181858739510562313286301044260268616739800718753593941115115640961463346689014990341169<148>

Number: n
N=7671011248491948925012378222696430190310815428495714694170728815805072630529230039680049094471990348473120079220625257153217989218742372574042692664421152464835387072253952314204620738230227968507012001645780595131
  ( 214 digits)
SNFS difficulty: 219 digits.
Divisors found:

Mon Apr 30 09:31:17 2018  p67 factor: 4502423804549214757427561243315127863826116558271190865826925622699
Mon Apr 30 09:31:17 2018  p148 factor: 1703751486197549311331675835271784514267480080577961443937642181858739510562313286301044260268616739800718753593941115115640961463346689014990341169
Mon Apr 30 09:31:17 2018  elapsed time 06:14:34 (Msieve 1.53 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# 11x10^218+7 = 12(217)3
#
n: 7671011248491948925012378222696430190310815428495714694170728815805072630529230039680049094471990348473120079220625257153217989218742372574042692664421152464835387072253952314204620738230227968507012001645780595131
m: 1000000000000000000000000000000000000
deg: 6
c6: 1100
c0: 7
skew: 0.43
# Murphy_E = 2.78e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 63500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14056820 hash collisions in 76511312 relations (63599517 unique)
Msieve: matrix is 3893389 x 3893616 (1103.5 MB)

Sieving start time: 2018/04/28 13:24:31
Sieving end time  : 2018/04/30 03:14:47

Total sieving time: 37hrs 50min 16secs.

Total relation processing time: 5hrs 30min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 22min 0sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16292580K/16703460K available (12300K kernel code, 2482K rwdata, 4000K rodata, 2376K init, 2372K bss, 410880K reserved, 0K cma-reserved)
[    0.100643] x86/mm: Memory block size: 128MB
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.48 BogoMIPS (lpj=11976968)
[    0.098224] smpboot: Total of 16 processors activated (95815.74 BogoMIPS)

277315146465888265614090891374995727258223928873807044479297154267580650692548142703695807856077201313138326578991249400726069071865672774384013318357731254446115630110291674321631053836875877147719063<201>

329192534465519545414186550086379403492907164834023<51>
93849749565050433436350570373761970771453650132270434143303<59>
8976158133836644924074222800532213438501993927358140015754526288005629057170762115199033127<91>

Number: 12223_219
N = 277315146465888265614090891374995727258223928873807044479297154267580650692548142703695807856077201313138326578991249400726069071865672774384013318357731254446115630110291674321631053836875877147719063 (201 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=329192534465519545414186550086379403492907164834023 (pp51)
r2=93849749565050433436350570373761970771453650132270434143303 (pp59)
r3=8976158133836644924074222800532213438501993927358140015754526288005629057170762115199033127 (pp91)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 60.06 hours.
Factorization parameters were as follows:
n: 277315146465888265614090891374995727258223928873807044479297154267580650692548142703695807856077201313138326578991249400726069071865672774384013318357731254446115630110291674321631053836875877147719063
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: 70
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36953880
Relations: 6961216 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 27.09 hours.
Total relation processing time: 0.60 hours.
Pruned matrix : 5910607 x 5910852
Matrix solve time: 31.72 hours.
time per square root: 0.65 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 60.06 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

271120061129390888287194601952260139521193246908982981796227635962391220870173589376062801422811461746496132443983619211814990302614624441373442864753549362734637806803743638620659337320311574822047082113351595537<213>

356046644864148486452323958234036997052844027565265488063849155837045928796528302571<84>
761473433439706212500118463781891650495196180723266119306416965890270063705289588890462352859604593811508671541999065277794325747<129>

Number: n
N=271120061129390888287194601952260139521193246908982981796227635962391220870173589376062801422811461746496132443983619211814990302614624441373442864753549362734637806803743638620659337320311574822047082113351595537
  ( 213 digits)
SNFS difficulty: 222 digits.
Divisors found:

Mon Jun 25 09:54:33 2018  p84 factor: 356046644864148486452323958234036997052844027565265488063849155837045928796528302571
Mon Jun 25 09:54:33 2018  p129 factor: 761473433439706212500118463781891650495196180723266119306416965890270063705289588890462352859604593811508671541999065277794325747
Mon Jun 25 09:54:33 2018  elapsed time 07:43:12 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# 11x10^220+7 = 12(219)3
#
n: 271120061129390888287194601952260139521193246908982981796227635962391220870173589376062801422811461746496132443983619211814990302614624441373442864753549362734637806803743638620659337320311574822047082113351595537
m: 5000000000000000000000000000000000000
deg: 6
c6: 176
c0: 175
skew: 1.00
# Murphy_E = 2.581e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 66000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11996394 hash collisions in 70241889 relations (59586809 unique)
Msieve: matrix is 4218678 x 4218904 (1202.5 MB)

Sieving start time: 2018/06/23 11:19:37
Sieving end time  : 2018/06/25 02:10:05

Total sieving time: 38hrs 50min 28secs.
Total relation processing time: 7hrs 15min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 30sec.

Prototype def-par.txt line would be:
snfs,222,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286860K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416600K reserved, 0K cma-reserved)
[    0.068658] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977272)
[    0.066211] smpboot: Total of 16 processors activated (95818.17 BogoMIPS)

77418266512704062568632849923694260143905968845196970987782522326901016998371203302029281768203714756260937527204205094847896180181837548539892559792140409562684217287951544103866675224326981804216564467<203>

578719875573356558358322124256118909758601<42>
133775026192081745865124230790019475164005694598824553007854472360026670199752774245063812411052694311330221952366971271074867467761529463943057830170038336218267<162>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 77418266512704062568632849923694260143905968845196970987782522326901016998371203302029281768203714756260937527204205094847896180181837548539892559792140409562684217287951544103866675224326981804216564467 (203 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1745169513
Step 1 took 35603ms
Step 2 took 13192ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:229488694
Step 1 took 33788ms
Step 2 took 14200ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2795032867
Step 1 took 32840ms
Step 2 took 13133ms
Run 68 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:78764625
Step 1 took 33888ms
Step 2 took 13109ms
** Factor found in step 2: 578719875573356558358322124256118909758601
Found prime factor of 42 digits: 578719875573356558358322124256118909758601
Prime cofactor 133775026192081745865124230790019475164005694598824553007854472360026670199752774245063812411052694311330221952366971271074867467761529463943057830170038336218267 has 162 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

13242193549401730605651125776581099542505637209763839085510435773947776188476865999816770057265113151888906135479879479551920762249278386518317<143>

28268758610254426499468681788057<32>
468439160416409501112236156370889681225862964438280408640618916450935950803360832621269185942999429762895840181<111>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4258251654
Step 1 took 6692ms
Step 2 took 5024ms
********** Factor found in step 2: 28268758610254426499468681788057
Found probable prime factor of 32 digits: 28268758610254426499468681788057
Probable prime cofactor 468439160416409501112236156370889681225862964438280408640618916450935950803360832621269185942999429762895840181 has 111 digits

GMP-ECM 6.3

136136734871314507120319542419446325396717603865449029559213147694276286301490947459938434882731435569901438796830120034330992685462218156865754346944121024160232181407890492673721065222260408603091997379<204>

586791423008176770778381757974054646786510931608523616730208967541925482326411053410680269072101021032753014482320592457494587013995495092818803699<147>

37588418260129619449059007223913275261<38>
15610963434196746279867560150662264496903831052106894722586358584889705186519205898162342010708054109327885359<110>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1076633942
Step 1 took 6568ms
Step 2 took 5257ms
********** Factor found in step 2: 37588418260129619449059007223913275261
Found probable prime factor of 38 digits: 37588418260129619449059007223913275261
Probable prime cofactor 15610963434196746279867560150662264496903831052106894722586358584889705186519205898162342010708054109327885359 has 110 digits

GMP-ECM 6.3

29957215291499159468565338772823423168981721594331270073847506138589848697829860465617525888573319391171543265338609704135154087713152208796621196170364865652622009447<167>

920415705878179201593650100316264426648527931<45>
14534260814485902473751448184175173320273768981<47>
2239362856626013702537989251802159498260262125863269906134179777220440974577<76>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1202706088
Step 1 took 71489ms
Step 2 took 26849ms
********** Factor found in step 2: 920415705878179201593650100316264426648527931
Found probable prime factor of 45 digits: 920415705878179201593650100316264426648527931
Composite cofactor 32547483816474683161486639175337348020864337116513036638261055296921928483534752605801413151528961882429135823620592196037 has 122 digits

GNFS with YAFU:
prp47 = 14534260814485902473751448184175173320273768981
prp76 = 2239362856626013702537989251802159498260262125863269906134179777220440974577
NFS elapsed time = 19476.8390 seconds.

1839015249742097728791281549740034970211003511325489785437863219331301087117196154226793439813820810734522010861951109170615216174406624113286347325533627726662309163753328068920697677751620440114393157615751761723<214>

704918287963732904966069518297793<33>
2608834642458180319897052273708187272419036209534563366601937453041155971049396306801033332457140245328658240520418669426395342626207922113105682682941068239662674697901751869302011<181>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1673096325
Step 1 took 14211ms
********** Factor found in step 1: 704918287963732904966069518297793
Found probable prime factor of 33 digits: 704918287963732904966069518297793
Probable prime cofactor 2608834642458180319897052273708187272419036209534563366601937453041155971049396306801033332457140245328658240520418669426395342626207922113105682682941068239662674697901751869302011 has 181 digits

GMP-ECM 6.3

27898797089596179131564281227191298650246140770442160711754449594212649398912311242271009788684365563599459086719683450109847637302637244477033923480166943150099124245685553055461990745788483194741535296521991139657829<218>

255431325533692875349009271237536387279185476270236543506329236787158146944429089968277883106813059710668770053083624560956808838198363706459926243521924539696168966508654586735903080824274476843298199839<204>

78571745723351739944580560987545296724471052657<47>

3250931020841223075594147351844682063036968057265142223716664626434637437985981711897312292096581029836153082423657590153181131169693696611349129529055933327<157>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 255431325533692875349009271237536387279185476270236543506329236787158146944429089968277883106813059710668770053083624560956808838198363706459926243521924539696168966508654586735903080824274476843298199839 (204 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3172758484
Step 1 took 38354ms
Step 2 took 13262ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3670921011
Step 1 took 33200ms
Step 2 took 13196ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2014200888
Step 1 took 32895ms
Step 2 took 13292ms
Run 59 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3621258042
Step 1 took 33488ms
Step 2 took 13157ms
** Factor found in step 2: 78571745723351739944580560987545296724471052657
Found prime factor of 47 digits: 78571745723351739944580560987545296724471052657
Composite cofactor 3250931020841223075594147351844682063036968057265142223716664626434637437985981711897312292096581029836153082423657590153181131169693696611349129529055933327 has 157 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

16106650335490235084533109446983433720488845638268585345926257847558803842791993648436610478980342704675924353452417268676060808811995573316057593545172554131036734321615334478840185017605162133887401<200>

70448454714033807995260839577<29>

228630285800742788353934958630195951667260155281295948533199901507845948405888298209952780910625246849390075311416264531680914654640807341022953832825240436106358761997713<171>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 16106650335490235084533109446983433720488845638268585345926257847558803842791993648436610478980342704675924353452417268676060808811995573316057593545172554131036734321615334478840185017605162133887401 (200 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1313700580
Step 1 took 24867ms
Step 2 took 7066ms
********** Factor found in step 2: 70448454714033807995260839577
Found probable prime factor of 29 digits: 70448454714033807995260839577
Composite cofactor 228630285800742788353934958630195951667260155281295948533199901507845948405888298209952780910625246849390075311416264531680914654640807341022953832825240436106358761997713 has 171 digits

228630285800742788353934958630195951667260155281295948533199901507845948405888298209952780910625246849390075311416264531680914654640807341022953832825240436106358761997713<171>

2086698978419020052171011430748163<34>

109565533009444275002742126932126430864189983603484395280605227302615184080336199420806933662157735198496969422290063052483703399034597851<138>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4261856217
Step 1 took 7707ms
Step 2 took 5896ms
********** Factor found in step 2: 2086698978419020052171011430748163
Found probable prime factor of 34 digits: 2086698978419020052171011430748163
Composite cofactor 109565533009444275002742126932126430864189983603484395280605227302615184080336199420806933662157735198496969422290063052483703399034597851 has 138 digits

GMP-ECM 6.3

109565533009444275002742126932126430864189983603484395280605227302615184080336199420806933662157735198496969422290063052483703399034597851<138>

92579769503642178158840536067819866919637091544156377154880377<62>
1183471654734826925554832715487731307264919527999463578330748082818741573363<76>

Number: 12223_239
N = 109565533009444275002742126932126430864189983603484395280605227302615184080336199420806933662157735198496969422290063052483703399034597851 (138 digits)
Divisors found:
r1=92579769503642178158840536067819866919637091544156377154880377 (pp62)
r2=1183471654734826925554832715487731307264919527999463578330748082818741573363 (pp76)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 123.94 hours.
Factorization parameters were as follows:
# Murphy_E = 2.958e-11, selected by Erik Branger
# expecting poly E from 3.11e-011 to > 3.57e-011
n: 109565533009444275002742126932126430864189983603484395280605227302615184080336199420806933662157735198496969422290063052483703399034597851
Y0: -475909230398431786935189242
Y1: 50890009314949
c0: -33431694935889130107629715496874925
c1: 135984273014219250195396658584
c2: -201480082702004619790221
c3: -33395131719717812
c4: 45113599886
c5: 4488
skew: 2345743.18
type: gnfs
# selected mechanically
rlim: 15200000
alim: 15200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15200000/15200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22545272
Relations: 3843834 relations
Pruned matrix : 2299456 x 2299700
Polynomial selection time: 0.00 hours.
Total sieving time: 120.19 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.53 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15200000,15200000,28,28,55,55,2.6,2.6,100000
total time: 123.94 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

736792604525359640575436414662894056240882962220808294440548462651750887410813129857025138554065295189298072469077393942435260946348031764196324704190289733759095477218148917558114734873020399955753835796001292720307662252098020977<231>

16202841847720835681839214747570894327092664631204085486556968645364122683421668361792787<89>
45473047965903597888745533308693107424284462272732503847721138964944641404865048121736055664191339824072626706469067666283474767222858869531371<143>

Number: 12223_240
N = 736792604525359640575436414662894056240882962220808294440548462651750887410813129857025138554065295189298072469077393942435260946348031764196324704190289733759095477218148917558114734873020399955753835796001292720307662252098020977 (231 digits)
SNFS difficulty: 242 digits.
Divisors found:
r1=16202841847720835681839214747570894327092664631204085486556968645364122683421668361792787 (pp89)
r2=45473047965903597888745533308693107424284462272732503847721138964944641404865048121736055664191339824072626706469067666283474767222858869531371 (pp143)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 72.56 hours.
Factorization parameters were as follows:
n: 736792604525359640575436414662894056240882962220808294440548462651750887410813129857025138554065295189298072469077393942435260946348031764196324704190289733759095477218148917558114734873020399955753835796001292720307662252098020977
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 100000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/100000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 0
Relations: 14432306 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.30 hours.
Total relation processing time: 1.03 hours.
Pruned matrix : 10755898 x 10756146
Matrix solve time: 51.15 hours.
time per square root: 1.08 hours.
Prototype def-par.txt line would be: snfs,242,4,0,0,0,0,0,0,0,0,500000000,100000000,29,29,58,58,2.8,2.8,100000
total time: 72.56 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.26100-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

18598227251473674704866691761156754159668960270776133109800258298981128845113016276379575994690381057866558160663587157684005600666720812010609518772993133330198617210241<170>

1866420211090146613505587808762869281788410212949861586512098077068813258102006350938826482781263426037408137677689620551093744026850675215192489316452272673728640911579834955589165403715654731<193>

12814407495515382042125779010492642541514563358654407890310188765687231639247388129183026422466712690359897678260369385739535853569612397156700243604286984998429183371<167>

943395880364792272972740289824745797431580034033287395803457627249318930394463344412575688271942771448288053054976293737801228208895268824193408130432704145591067714385053481702308273871844351585018009531460461418045681573852209<228>

149384016474288013302913843398987404135011643407114118531597374810407839052510626290523076670880686934208316577352009695267823923849019362188922009991270492728178023549732607357841656725904192848932075387876205913164532558607<225>

77858710509272414625248309275922128145968474645040596725540210196514392666378190919674339466977196995150312258998736342943457874043278242823475138142784804733283568195011500759026439523076236614258533629319340193373284124962464469<230>

104834256652138835626360598250529<33>
742683861131607841890840356790995980394301838492618367900119445037022980538608349226342078543981888720019096575914287108484569370278576137670158986219777753266109311283446470917635177351909402871861<198>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=999509403
Step 1 took 11482ms
Step 2 took 6864ms
********** Factor found in step 2: 104834256652138835626360598250529
Found probable prime factor of 33 digits: 104834256652138835626360598250529
Probable prime cofactor 742683861131607841890840356790995980394301838492618367900119445037022980538608349226342078543981888720019096575914287108484569370278576137670158986219777753266109311283446470917635177351909402871861 has 198 digits

GMP-ECM 6.3

530507877215845706261996899357917354469683663510306778461285537243966539494713821681674820171388538392413205999929958982762137796605620228085321155439160313269976297078328944950463584620218715005405964888947891490340129819477832605121<234>

2534718514870277743106907811931096635085579077278586866625138128366205331122533552839746428141881329869145762552000308121917767037118681088189603768980558056059644423339384486714043886547059006125984087343569292195057941478546119<229>

303648275717085702080739547032535101361<39>

8347547862356110943086040548326257200191620934253832295062181290303421841200677672240057535586742628602959882256837305570589800617956825408308924589255423833464553051181236939917550022002679<190>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2447587363
Step 1 took 131161ms
Step 2 took 42528ms
********** Factor found in step 2: 303648275717085702080739547032535101361
Found probable prime factor of 39 digits: 303648275717085702080739547032535101361

1772402764095233901433754947445028154640600111776641743733565260620577391791459471061109533135714751842994291974509811454466801258161929910874484115515601601852456146612302832788524468685785864515950585344929041134961<217>

430471647405464997011476705133<30>

4117350758819644835548823753472553269414146651957553434543238440911365070640073982161423902500605599776670508165805659596587730463307945435393356566372427827541140105462584031492658816917<187>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 1772402764095233901433754947445028154640600111776641743733565260620577391791459471061109533135714751842994291974509811454466801258161929910874484115515601601852456146612302832788524468685785864515950585344929041134961 (217 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2051796119
Step 1 took 30842ms
********** Factor found in step 1: 430471647405464997011476705133
Found probable prime factor of 30 digits: 430471647405464997011476705133
Composite cofactor 4117350758819644835548823753472553269414146651957553434543238440911365070640073982161423902500605599776670508165805659596587730463307945435393356566372427827541140105462584031492658816917 has 187 digits

11339554037156969575041271848444392812303162727802542909092827393301282005496968521517012890064615279008802037193231346479054396254212531764280574773232787004011169943724421875874191458754932191940264765817<206>