2820865321538692810538614558530976382470612956300835716173321479649426366217666289278919907059<94>

783359782782066587583950077100340582667033<42>
3600983077686881125873890262969601465402154039814123<52>

Mon May 26 05:54:40 2008  Msieve v. 1.35
Mon May 26 05:54:40 2008  random seeds: a13198c8 f211c8f4
Mon May 26 05:54:40 2008  factoring 2820865321538692810538614558530976382470612956300835716173321479649426366217666289278919907059 (94 digits)
Mon May 26 05:54:41 2008  searching for 15-digit factors
Mon May 26 05:54:43 2008  commencing quadratic sieve (94-digit input)
Mon May 26 05:54:43 2008  using multiplier of 1
Mon May 26 05:54:43 2008  using 64kb Pentium 4 sieve core
Mon May 26 05:54:43 2008  sieve interval: 18 blocks of size 65536
Mon May 26 05:54:43 2008  processing polynomials in batches of 6
Mon May 26 05:54:43 2008  using a sieve bound of 2022583 (75294 primes)
Mon May 26 05:54:43 2008  using large prime bound of 271026122 (28 bits)
Mon May 26 05:54:43 2008  using double large prime bound of 1511541411162932 (42-51 bits)
Mon May 26 05:54:43 2008  using trial factoring cutoff of 51 bits
Mon May 26 05:54:43 2008  polynomial 'A' values have 12 factors
Mon May 26 11:23:20 2008  75572 relations (18222 full + 57350 combined from 1082030 partial), need 75390
Mon May 26 11:23:23 2008  begin with 1100252 relations
Mon May 26 11:23:25 2008  reduce to 198215 relations in 11 passes
Mon May 26 11:23:25 2008  attempting to read 198215 relations
Mon May 26 11:23:31 2008  recovered 198215 relations
Mon May 26 11:23:31 2008  recovered 182210 polynomials
Mon May 26 11:23:31 2008  attempting to build 75572 cycles
Mon May 26 11:23:31 2008  found 75572 cycles in 6 passes
Mon May 26 11:23:31 2008  distribution of cycle lengths:
Mon May 26 11:23:31 2008     length 1 : 18222
Mon May 26 11:23:31 2008     length 2 : 13030
Mon May 26 11:23:31 2008     length 3 : 12664
Mon May 26 11:23:31 2008     length 4 : 10226
Mon May 26 11:23:31 2008     length 5 : 7717
Mon May 26 11:23:31 2008     length 6 : 5365
Mon May 26 11:23:31 2008     length 7 : 3504
Mon May 26 11:23:31 2008     length 9+: 4844
Mon May 26 11:23:31 2008  largest cycle: 22 relations
Mon May 26 11:23:32 2008  matrix is 75294 x 75572 (19.5 MB) with weight 4796606 (63.47/col)
Mon May 26 11:23:32 2008  sparse part has weight 4796606 (63.47/col)
Mon May 26 11:23:33 2008  filtering completed in 3 passes
Mon May 26 11:23:33 2008  matrix is 71948 x 72012 (18.6 MB) with weight 4589082 (63.73/col)
Mon May 26 11:23:33 2008  sparse part has weight 4589082 (63.73/col)
Mon May 26 11:23:34 2008  saving the first 48 matrix rows for later
Mon May 26 11:23:34 2008  matrix is 71900 x 72012 (11.0 MB) with weight 3534900 (49.09/col)
Mon May 26 11:23:34 2008  sparse part has weight 2463053 (34.20/col)
Mon May 26 11:23:34 2008  matrix includes 64 packed rows
Mon May 26 11:23:34 2008  using block size 21845 for processor cache size 512 kB
Mon May 26 11:23:34 2008  commencing Lanczos iteration
Mon May 26 11:23:34 2008  memory use: 11.1 MB
Mon May 26 11:24:28 2008  lanczos halted after 1138 iterations (dim = 71898)
Mon May 26 11:24:28 2008  recovered 16 nontrivial dependencies
Mon May 26 11:24:29 2008  prp42 factor: 783359782782066587583950077100340582667033
Mon May 26 11:24:29 2008  prp52 factor: 3600983077686881125873890262969601465402154039814123
Mon May 26 11:24:29 2008  elapsed time 05:29:49

Pentium 4 2.4GHz, Windows XP and Cygwin)

10650880939968271586252515569906216190460174113874734428692352106912421730039408259477882604869134307608653<107>

2270199252456242699778729641333819680492093<43>
4691606222865481103080585512540588248203889051546135228221187921<64>

Number: n
N=10650880939968271586252515569906216190460174113874734428692352106912421730039408259477882604869134307608653
  ( 107 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=2270199252456242699778729641333819680492093 (pp43)
 r2=4691606222865481103080585512540588248203889051546135228221187921 (pp64)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.77 hours.
Scaled time: 1.34 units (timescale=1.754).
Factorization parameters were as follows:
name: KA_2_1_109_3
n: 10650880939968271586252515569906216190460174113874734428692352106912421730039408259477882604869134307608653
type: snfs
skew: 0.98
deg: 5
c5: 19
c0: 17
m: 10000000000000000000000
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 20000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 160001)
Primes: RFBsize:49098, AFBsize:49036, largePrimes:3053133 encountered
Relations: rels:2566808, finalFF:139977
Max relations in full relation-set: 28
Initial matrix: 98201 x 139977 with sparse part having weight 6770974.
Pruned matrix : 74778 x 75333 with weight 2487548.
Total sieving time: 0.67 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.03 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,600000,600000,28,28,48,48,2.4,2.4,50000
total time: 0.77 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2115821453704850469983635766404803392743827058719309562419615688657939260968947379262777059130246008227<103>

2966325687678056937474314854464720978353817202219<49>
713280224924002374089503089945616997448142074923965033<54>

Number: n
N=2115821453704850469983635766404803392743827058719309562419615688657939260968947379262777059130246008227
  ( 103 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=2966325687678056937474314854464720978353817202219 (pp49)
 r2=713280224924002374089503089945616997448142074923965033 (pp54)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.45 hours.
Scaled time: 2.53 units (timescale=1.751).
Factorization parameters were as follows:
name: KA_2_1_115_3
n: 2115821453704850469983635766404803392743827058719309562419615688657939260968947379262777059130246008227
type: snfs
skew: 0.62
deg: 5
c5: 190
c0: 17
m: 100000000000000000000000
rlim: 700000
alim: 700000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 20000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 240001)
Primes: RFBsize:56543, AFBsize:56433, largePrimes:3684144 encountered
Relations: rels:3161105, finalFF:179094
Max relations in full relation-set: 28
Initial matrix: 113043 x 179094 with sparse part having weight 10761539.
Pruned matrix : 84754 x 85383 with weight 3472881.
Total sieving time: 1.29 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.05 hours.
Total square root time: 0.03 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,700000,700000,28,28,48,48,2.4,2.4,50000
total time: 1.45 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

25863120259606973612140943358534400942067297352716633976505979254681934314828742357338679670383071<98>

63460649118500649720004637763831639443635857911<47>
407545788120013284598901938387320489819499387145561<51>

Number: 21113_117
N=25863120259606973612140943358534400942067297352716633976505979254681934314828742357338679670383071
  ( 98 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=63460649118500649720004637763831639443635857911 (pp47)
 r2=407545788120013284598901938387320489819499387145561 (pp51)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.34 hours.
Scaled time: 1.58 units (timescale=0.677).
Factorization parameters were as follows:
name: 21113_117
n: 25863120259606973612140943358534400942067297352716633976505979254681934314828742357338679670383071
m: 100000000000000000000000
c5: 1900
c0: 17
skew: 0.39
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:63278, largePrimes:2061617 encountered
Relations: rels:2076260, finalFF:171414
Max relations in full relation-set: 28
Initial matrix: 112443 x 171414 with sparse part having weight 13981284.
Pruned matrix : 94931 x 95557 with weight 5424242.
Total sieving time: 2.10 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.34 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

880669074925951398734942256801317450090466445248385516105451227031149812348095397237780533<90>

36218395286981478538085535848918712611<38>
24315518894413952771658466169562042509604178782165703<53>

Mon May 26 11:50:07 2008  Msieve v. 1.35
Mon May 26 11:50:07 2008  random seeds: d5e0c8e8 ebb720e0
Mon May 26 11:50:07 2008  factoring 880669074925951398734942256801317450090466445248385516105451227031149812348095397237780533 (90 digits)
Mon May 26 11:50:08 2008  searching for 15-digit factors
Mon May 26 11:50:10 2008  commencing quadratic sieve (90-digit input)
Mon May 26 11:50:10 2008  using multiplier of 2
Mon May 26 11:50:10 2008  using 64kb Pentium 4 sieve core
Mon May 26 11:50:10 2008  sieve interval: 18 blocks of size 65536
Mon May 26 11:50:10 2008  processing polynomials in batches of 6
Mon May 26 11:50:10 2008  using a sieve bound of 1615001 (61176 primes)
Mon May 26 11:50:10 2008  using large prime bound of 135660084 (27 bits)
Mon May 26 11:50:10 2008  using double large prime bound of 434924330062824 (42-49 bits)
Mon May 26 11:50:10 2008  using trial factoring cutoff of 49 bits
Mon May 26 11:50:10 2008  polynomial 'A' values have 12 factors
Mon May 26 14:06:03 2008  61929 relations (16287 full + 45642 combined from 670328 partial), need 61272
Mon May 26 14:06:06 2008  begin with 686615 relations
Mon May 26 14:06:07 2008  reduce to 151202 relations in 10 passes
Mon May 26 14:06:07 2008  attempting to read 151202 relations
Mon May 26 14:06:10 2008  recovered 151202 relations
Mon May 26 14:06:10 2008  recovered 129702 polynomials
Mon May 26 14:06:11 2008  attempting to build 61929 cycles
Mon May 26 14:06:11 2008  found 61929 cycles in 5 passes
Mon May 26 14:06:11 2008  distribution of cycle lengths:
Mon May 26 14:06:11 2008     length 1 : 16287
Mon May 26 14:06:11 2008     length 2 : 11799
Mon May 26 14:06:11 2008     length 3 : 11002
Mon May 26 14:06:11 2008     length 4 : 8442
Mon May 26 14:06:11 2008     length 5 : 5835
Mon May 26 14:06:11 2008     length 6 : 3725
Mon May 26 14:06:11 2008     length 7 : 2334
Mon May 26 14:06:11 2008     length 9+: 2505
Mon May 26 14:06:11 2008  largest cycle: 17 relations
Mon May 26 14:06:11 2008  matrix is 61176 x 61929 (15.2 MB) with weight 3728877 (60.21/col)
Mon May 26 14:06:11 2008  sparse part has weight 3728877 (60.21/col)
Mon May 26 14:06:12 2008  filtering completed in 4 passes
Mon May 26 14:06:12 2008  matrix is 57269 x 57333 (14.0 MB) with weight 3437413 (59.96/col)
Mon May 26 14:06:12 2008  sparse part has weight 3437413 (59.96/col)
Mon May 26 14:06:13 2008  saving the first 48 matrix rows for later
Mon May 26 14:06:13 2008  matrix is 57221 x 57333 (8.8 MB) with weight 2690503 (46.93/col)
Mon May 26 14:06:13 2008  sparse part has weight 1954397 (34.09/col)
Mon May 26 14:06:13 2008  matrix includes 64 packed rows
Mon May 26 14:06:13 2008  using block size 21845 for processor cache size 512 kB
Mon May 26 14:06:14 2008  commencing Lanczos iteration
Mon May 26 14:06:14 2008  memory use: 8.6 MB
Mon May 26 14:06:46 2008  lanczos halted after 907 iterations (dim = 57216)
Mon May 26 14:06:47 2008  recovered 14 nontrivial dependencies
Mon May 26 14:06:47 2008  prp38 factor: 36218395286981478538085535848918712611
Mon May 26 14:06:47 2008  prp53 factor: 24315518894413952771658466169562042509604178782165703
Mon May 26 14:06:47 2008  elapsed time 02:16:40

Pentium 4 2.4GHz, Windows XP and Cygwin)

113044280606194274951039755402217484921209733464583986651108663909704532766448392160888427078429686945236911<108>

2098106958390013566678652050706071014416820177<46>
53879179111506794848560367490910458372207156743626422470530943<62>

Number: n
N=113044280606194274951039755402217484921209733464583986651108663909704532766448392160888427078429686945236911
  ( 108 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=2098106958390013566678652050706071014416820177 (pp46)
 r2=53879179111506794848560367490910458372207156743626422470530943 (pp62)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.99 hours.
Scaled time: 3.63 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_2_1_123_3
n: 113044280606194274951039755402217484921209733464583986651108663909704532766448392160888427078429686945236911
skew: 1.55
deg: 5
c5: 19
c0: 170
m: 10000000000000000000000000
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, 400001)
Primes: RFBsize:78498, AFBsize:78541, largePrimes:4987460 encountered
Relations: rels:4343076, finalFF:223428
Max relations in full relation-set: 48
Initial matrix: 157104 x 223428 with sparse part having weight 18618193.
Pruned matrix : 128827 x 129676 with weight 6954852.
Total sieving time: 1.80 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.07 hours.
Total square root time: 0.05 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 1.99 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

3648787981358758376443619313888158885179582879218339340017561379606686032816905208891891<88>

21769371741788386995971686002193<32>
167611083343969985171953195615674438687622824552784462787<57>

Mon May 26 14:25:38 2008  Msieve v. 1.35
Mon May 26 14:25:38 2008  random seeds: 8498d380 d66b9c6e
Mon May 26 14:25:38 2008  factoring 3648787981358758376443619313888158885179582879218339340017561379606686032816905208891891 (88 digits)
Mon May 26 14:25:40 2008  searching for 15-digit factors
Mon May 26 14:25:42 2008  commencing quadratic sieve (88-digit input)
Mon May 26 14:25:42 2008  using multiplier of 11
Mon May 26 14:25:42 2008  using 64kb Pentium 4 sieve core
Mon May 26 14:25:42 2008  sieve interval: 13 blocks of size 65536
Mon May 26 14:25:42 2008  processing polynomials in batches of 8
Mon May 26 14:25:42 2008  using a sieve bound of 1517707 (57529 primes)
Mon May 26 14:25:42 2008  using large prime bound of 121416560 (26 bits)
Mon May 26 14:25:42 2008  using double large prime bound of 356205104400640 (42-49 bits)
Mon May 26 14:25:42 2008  using trial factoring cutoff of 49 bits
Mon May 26 14:25:42 2008  polynomial 'A' values have 11 factors
Mon May 26 15:46:08 2008  57807 relations (16257 full + 41550 combined from 604944 partial), need 57625
Mon May 26 15:46:10 2008  begin with 621201 relations
Mon May 26 15:46:11 2008  reduce to 137587 relations in 9 passes
Mon May 26 15:46:11 2008  attempting to read 137587 relations
Mon May 26 15:46:15 2008  recovered 137587 relations
Mon May 26 15:46:15 2008  recovered 113718 polynomials
Mon May 26 15:46:15 2008  attempting to build 57807 cycles
Mon May 26 15:46:15 2008  found 57807 cycles in 5 passes
Mon May 26 15:46:15 2008  distribution of cycle lengths:
Mon May 26 15:46:15 2008     length 1 : 16257
Mon May 26 15:46:15 2008     length 2 : 11581
Mon May 26 15:46:15 2008     length 3 : 10022
Mon May 26 15:46:15 2008     length 4 : 7636
Mon May 26 15:46:15 2008     length 5 : 5168
Mon May 26 15:46:15 2008     length 6 : 3243
Mon May 26 15:46:15 2008     length 7 : 1807
Mon May 26 15:46:15 2008     length 9+: 2093
Mon May 26 15:46:15 2008  largest cycle: 16 relations
Mon May 26 15:46:15 2008  matrix is 57529 x 57807 (13.6 MB) with weight 3346142 (57.88/col)
Mon May 26 15:46:15 2008  sparse part has weight 3346142 (57.88/col)
Mon May 26 15:46:16 2008  filtering completed in 3 passes
Mon May 26 15:46:16 2008  matrix is 52880 x 52944 (12.6 MB) with weight 3088437 (58.33/col)
Mon May 26 15:46:16 2008  sparse part has weight 3088437 (58.33/col)
Mon May 26 15:46:17 2008  saving the first 48 matrix rows for later
Mon May 26 15:46:17 2008  matrix is 52832 x 52944 (8.7 MB) with weight 2490713 (47.04/col)
Mon May 26 15:46:17 2008  sparse part has weight 1970280 (37.21/col)
Mon May 26 15:46:17 2008  matrix includes 64 packed rows
Mon May 26 15:46:17 2008  using block size 21177 for processor cache size 512 kB
Mon May 26 15:46:18 2008  commencing Lanczos iteration
Mon May 26 15:46:18 2008  memory use: 8.2 MB
Mon May 26 15:46:48 2008  lanczos halted after 837 iterations (dim = 52831)
Mon May 26 15:46:48 2008  recovered 17 nontrivial dependencies
Mon May 26 15:46:49 2008  prp32 factor: 21769371741788386995971686002193
Mon May 26 15:46:49 2008  prp57 factor: 167611083343969985171953195615674438687622824552784462787
Mon May 26 15:46:49 2008  elapsed time 01:21:11

Pentium 4 2.4GHz, Windows XP and Cygwin)

4776594159633000514124122320061907346291707194004929543799695356781805365347420856122228912563<94>

4998028003187250350588924237218853249700597287<46>
955695757724238214604079143204207742822053446549<48>

Number: 21113_132
N=4776594159633000514124122320061907346291707194004929543799695356781805365347420856122228912563
  ( 94 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=4998028003187250350588924237218853249700597287 (pp46)
 r2=955695757724238214604079143204207742822053446549 (pp48)
Version: GGNFS-0.77.1-20060513-k8
Total time: 6.35 hours.
Scaled time: 12.80 units (timescale=2.016).
Factorization parameters were as follows:
name: 21113_132
n: 4776594159633000514124122320061907346291707194004929543799695356781805365347420856122228912563
m: 100000000000000000000000000
c5: 1900
c0: 17
skew: 0.39
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, 1250001)
Primes: RFBsize:63951, AFBsize:63278, largePrimes:1568200 encountered
Relations: rels:1587419, finalFF:178535
Max relations in full relation-set: 28
Initial matrix: 127296 x 178535 with sparse part having weight 16438184.
Pruned matrix : 115008 x 115708 with weight 8856615.
Total sieving time: 6.16 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.35 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

940255952396088864380528059344305845250199889392668041299317576046841164705609190752329635215726376937585768929<111>

257906784564331830598010239861334619288706259471606201<54>
3645720115445636970073274698358696904155253499404580769129<58>

Number: 21113_137
N=940255952396088864380528059344305845250199889392668041299317576046841164705609190752329635215726376937585768929
  ( 111 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=257906784564331830598010239861334619288706259471606201 (pp54)
 r2=3645720115445636970073274698358696904155253499404580769129 (pp58)
Version: GGNFS-0.77.1-20060513-k8
Total time: 11.28 hours.
Scaled time: 22.67 units (timescale=2.010).
Factorization parameters were as follows:
name: 21113_137
n: 940255952396088864380528059344305845250199889392668041299317576046841164705609190752329635215726376937585768929
m: 1000000000000000000000000000
c5: 1900
c0: 17
skew: 0.39
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1825001)
Primes: RFBsize:78498, AFBsize:63278, largePrimes:1661033 encountered
Relations: rels:1702175, finalFF:196033
Max relations in full relation-set: 28
Initial matrix: 141843 x 196033 with sparse part having weight 20035278.
Pruned matrix : 128428 x 129201 with weight 11672377.
Total sieving time: 11.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 11.28 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

25268924923456244648808107788017274846641925172967895466869407319849557613437755973524100740014501990475593890123449644266990119<128>

1338967039267258903607662253178789037<37>
18871954411427858011578814863318916834385230348366099626180972019620251580610578675135514787<92>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 25268924923456244648808107788017274846641925172967895466869407319849557613437755973524100740014501990475593890123449644266990119 (128 digits)
Using B1=2032000, B2=2305605487, polynomial Dickson(6), sigma=3875561415
Step 1 took 18473ms
Step 2 took 9605ms
********** Factor found in step 2: 1338967039267258903607662253178789037
Found probable prime factor of 37 digits: 1338967039267258903607662253178789037
Probable prime cofactor 18871954411427858011578814863318916834385230348366099626180972019620251580610578675135514787 has 92 digits

5951807539788288225430884682457532216240948269068902899898204239271953616323682713929151105423679589<100>

11861150895327891743346144866743<32>
501790053285023603948131322212264157408448417965160016833219189411523<69>

Number: 21113_142
N=5951807539788288225430884682457532216240948269068902899898204239271953616323682713929151105423679589
  ( 100 digits)
Divisors found:
 r1=11861150895327891743346144866743 (pp32)
 r2=501790053285023603948131322212264157408448417965160016833219189411523 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.25 hours.
Scaled time: 7.74 units (timescale=2.380).
Factorization parameters were as follows:
name: 21113_142
n: 5951807539788288225430884682457532216240948269068902899898204239271953616323682713929151105423679589
skew: 7751.50
# norm 1.17e+14
c5: 89760
c4: 286433780
c3: -13296024916531
c2: -35606200466171418
c1: 108194047644569709036
c0: 685898863072462815714288
# alpha -6.78
Y1: 9344433943
Y0: -9211130300927092855
# Murphy_E 3.58e-09
# M 2709477439678778205764349730250602373095667669738940728520330933270108509389153091541589441957421898
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, 1250001)
Primes: RFBsize:114155, AFBsize:113795, largePrimes:3865589 encountered
Relations: rels:3805363, finalFF:322396
Max relations in full relation-set: 28
Initial matrix: 228035 x 322396 with sparse part having weight 25128749.
Pruned matrix : 170035 x 171239 with weight 11283215.
Polynomial selection time: 0.25 hours.
Total sieving time: 2.79 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,48,48,2.5,2.5,50000
total time: 3.25 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047200k/8912896k available (2439k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673806)
Calibrating delay using timer specific routine.. 5344.78 BogoMIPS (lpj=2672394)
Calibrating delay using timer specific routine.. 5344.44 BogoMIPS (lpj=2672223)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672388)

Core 2 Quad Q6700

20104074768131705952223948574828629453469311264939980616550632557451952625753174430604740451277750586715962501<110>

7235857084230512962952890011521047<34>
2778395777322023419518611783612670148440288856654912472918162716876208274883<76>

Number: 21113_143
N=20104074768131705952223948574828629453469311264939980616550632557451952625753174430604740451277750586715962501
  ( 110 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=7235857084230512962952890011521047 (pp34)
 r2=2778395777322023419518611783612670148440288856654912472918162716876208274883 (pp76)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 25.03 hours.
Scaled time: 16.95 units (timescale=0.677).
Factorization parameters were as follows:
name: 21113_143
n: 20104074768131705952223948574828629453469311264939980616550632557451952625753174430604740451277750586715962501
m: 10000000000000000000000000000
c5: 19000
c0: 17
skew: 0.25
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 3150001)
Primes: RFBsize:100021, AFBsize:99493, largePrimes:2950613 encountered
Relations: rels:2989844, finalFF:241915
Max relations in full relation-set: 28
Initial matrix: 199581 x 241915 with sparse part having weight 29623414.
Pruned matrix : 188729 x 189790 with weight 21916761.
Total sieving time: 23.39 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.32 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 25.03 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

18093005950755090039348460796002000587853000048991765381719086621967779289182743454930778453711244622582581726369037817688791076118011087<137>

78028900325725980152501066021599909<35>
231875700865027574418442587619581173200268280817376948139532338530122326771487269224347720783283635043<102>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 18093005950755090039348460796002000587853000048991765381719086621967779289182743454930778453711244622582581726369037817688791076118011087 (137 digits)
Using B1=1120000, B2=986674048, polynomial Dickson(3), sigma=3542324101
Step 1 took 16235ms
Step 2 took 9093ms
********** Factor found in step 2: 78028900325725980152501066021599909
Found probable prime factor of 35 digits: 78028900325725980152501066021599909
Probable prime cofactor 231875700865027574418442587619581173200268280817376948139532338530122326771487269224347720783283635043 has 102 digits

5637189789791181737663205933522157839411232920925966168439275260163035022439814379611201712184143860144200693185699732315445293<127>

26224511757071848012274148820403<32>
214958808080422153827853526584090210525279684543816668859493746840385486703480148495405135657631<96>

GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Input number is 5637189789791181737663205933522157839411232920925966168439275260163035022439814379611201712184143860144200693185699732315445293 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=773076860
Step 1 took 6272ms
Step 2 took 2874ms
********** Factor found in step 2: 26224511757071848012274148820403
Found probable prime factor of 32 digits: 26224511757071848012274148820403
Probable prime cofactor 214958808080422153827853526584090210525279684543816668859493746840385486703480148495405135657631 has 96 digits

Core 2 Quad Q6700

70370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<152>

356046920829177338700138389053899011999976498823798123<54>
197643530258564893467617294435465707705350739812651298588563852360274701722217491033354235201386377<99>

Number: n
N=70370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
  ( 152 digits)
SNFS difficulty: 153 digits.
Divisors found:

Tue May 27 02:50:46 2008  prp54 factor: 356046920829177338700138389053899011999976498823798123
Tue May 27 02:50:46 2008  prp99 factor: 197643530258564893467617294435465707705350739812651298588563852360274701722217491033354235201386377
Tue May 27 02:50:46 2008  elapsed time 00:31:20 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 16.60 hours.
Scaled time: 30.36 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_1_151_3
n: 70370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
skew: 0.39
deg: 5
c5: 1900
c0: 17
m: 1000000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1300000)
Primes: RFBsize:114155, AFBsize:113552, largePrimes:6914825 encountered
Relations: rels:6240853, finalFF:256978
Max relations in full relation-set: 28
Initial matrix: 227774 x 256978 with sparse part having weight 40034553.
Pruned matrix : 
Total sieving time: 16.46 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,153,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,100000
total time: 16.60 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

26194737924323575364340387280235007936643629413751244947257148265834095820142465320158206394355665120449<104>

1071730829955083205875392845598093<34>
24441526913452149544679014625447927498593580679196528341183377269394693<71>

Number: 21113_153
N=26194737924323575364340387280235007936643629413751244947257148265834095820142465320158206394355665120449
  ( 104 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=1071730829955083205875392845598093 (pp34)
 r2=24441526913452149544679014625447927498593580679196528341183377269394693 (pp71)
Version: GGNFS-0.77.1-20060513-k8
Total time: 39.96 hours.
Scaled time: 80.56 units (timescale=2.016).
Factorization parameters were as follows:
name: 21113_153
n: 26194737924323575364340387280235007936643629413751244947257148265834095820142465320158206394355665120449
m: 1000000000000000000000000000000
c5: 19000
c0: 17
skew: 0.25
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, 2700001)
Primes: RFBsize:176302, AFBsize:175753, largePrimes:5892888 encountered
Relations: rels:5941175, finalFF:513449
Max relations in full relation-set: 28
Initial matrix: 352122 x 513449 with sparse part having weight 57240124.
Pruned matrix : 298760 x 300584 with weight 34325060.
Total sieving time: 38.09 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.54 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 39.96 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

168929431952557502689534377139402345451797320245747868377299440754670009691214780436193575346972162207818765392583108835009291118757390662647924390742667129<156>

582369490753755763634044705532923835566861195555346804624251<60>
290072599328501239090268348704294814519427609152777687487796440289248834506309310228248097076379<96>

Number: n
N=168929431952557502689534377139402345451797320245747868377299440754670009691214780436193575346972162207818765392583108835009291118757390662647924390742667129
  ( 156 digits)
SNFS difficulty: 161 digits.
Divisors found:

Thu May 29 15:37:16 2008  prp60 factor: 582369490753755763634044705532923835566861195555346804624251
Thu May 29 15:37:16 2008  prp96 factor: 290072599328501239090268348704294814519427609152777687487796440289248834506309310228248097076379
Thu May 29 15:37:16 2008  elapsed time 01:22:49 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 53.77 hours.
Scaled time: 94.26 units (timescale=1.753).
Factorization parameters were as follows:
name: KA_2_1_158_3
n: 168929431952557502689534377139402345451797320245747868377299440754670009691214780436193575346972162207818765392583108835009291118757390662647924390742667129
type: snfs
skew: 1.55
deg: 5
c5: 19
c0: 170
m: 100000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2700281)
Primes: RFBsize:216816, AFBsize:217381, largePrimes:7215613 encountered
Relations: rels:6592180, finalFF:463705
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 53.51 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 53.77 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

178457454849131135302107759797997784906326791141116079218591812118566613208192353460161543931374209493560425702439437117452819<126>

56346892794173538280415510697608311<35>
3167121486201706714211853387395270653867058889451744908587689927499196954815248430586933829<91>

GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Input number is 178457454849131135302107759797997784906326791141116079218591812118566613208192353460161543931374209493560425702439437117452819 (126 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2910349665
Step 1 took 6175ms
********** Factor found in step 1: 56346892794173538280415510697608311
Found probable prime factor of 35 digits: 56346892794173538280415510697608311
Probable prime cofactor 3167121486201706714211853387395270653867058889451744908587689927499196954815248430586933829 has 91 digits

Core 2 Quad Q6700

4007386472796184589094423777355566076795903284996272377907741299098845716620028610166554514234937212618360154087<112>

706991398277505775759368626955089<33>
5668225218241225832747085084677390231483282542289051212302192258793615146195383<79>

Number: 21113_161
N=4007386472796184589094423777355566076795903284996272377907741299098845716620028610166554514234937212618360154087
  ( 112 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=706991398277505775759368626955089 (pp33)
 r2=5668225218241225832747085084677390231483282542289051212302192258793615146195383 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 83.43 hours.
Scaled time: 167.11 units (timescale=2.003).
Factorization parameters were as follows:
name: 21113_161
n: 4007386472796184589094423777355566076795903284996272377907741299098845716620028610166554514234937212618360154087
m: 100000000000000000000000000000000
c5: 190
c0: 17
skew: 0.62
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, 4950001)
Primes: RFBsize:315948, AFBsize:315511, largePrimes:5815229 encountered
Relations: rels:5896613, finalFF:711219
Max relations in full relation-set: 28
Initial matrix: 631526 x 711219 with sparse part having weight 50842856.
Pruned matrix : 575041 x 578262 with weight 38160172.
Total sieving time: 78.98 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.97 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: 83.43 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

87819428890601930193174578949148272157511969157371746212193242682491669105644340286172556451630474536351991658958191443143132235435038495193586597492917429<155>

331020430061825622240821487692762096553201092980731173026412142307290539<72>
265299120281487299747115556364341636867465798157268399080428918610074877812977268511<84>

Number: n
N=87819428890601930193174578949148272157511969157371746212193242682491669105644340286172556451630474536351991658958191443143132235435038495193586597492917429
  ( 155 digits)
SNFS difficulty: 168 digits.
Divisors found:

Mon Jun 09 13:43:34 2008  prp72 factor: 331020430061825622240821487692762096553201092980731173026412142307290539
Mon Jun 09 13:43:34 2008  prp84 factor: 265299120281487299747115556364341636867465798157268399080428918610074877812977268511
Mon Jun 09 13:43:34 2008  elapsed time 02:21:05 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 86.64 hours.
Scaled time: 125.88 units (timescale=1.453).
Factorization parameters were as follows:
name: KA_2_1_166_3
n: 87819428890601930193174578949148272157511969157371746212193242682491669105644340286172556451630474536351991658958191443143132235435038495193586597492917429
skew: 0.39
deg: 5
c5: 1900
c0: 17
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4400001)
Primes: RFBsize:250150, AFBsize:249376, largePrimes:7844574 encountered
Relations: rels:7268414, finalFF:533461
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 86.33 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 86.64 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<169>

227487177154295025504685455361271692724662216695338616060397175372579537<72>
9280132346445324494177855519611117213830193530355304266419412531346231676756164736608771764227449<97>

Number: 21113_168
N=2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
  ( 169 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=227487177154295025504685455361271692724662216695338616060397175372579537 (pp72)
 r2=9280132346445324494177855519611117213830193530355304266419412531346231676756164736608771764227449 (pp97)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 99.00 hours.
Scaled time: 233.44 units (timescale=2.358).
Factorization parameters were as follows:
n: 2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
m: 10000000000000000000000000000000000
c5: 19
c0: 1700
skew: 2.46
type: snfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 49/49
Sieved algebraic special-q in [4000000, 9200001)
Primes: RFBsize:539777, AFBsize:539370, largePrimes:9999580 encountered
Relations: rels:9956522, finalFF:1241056
Max relations in full relation-set: 28
Initial matrix: 1079214 x 1241056 with sparse part having weight 74507988.
Pruned matrix : 936892 x 942352 with weight 53685074.
Total sieving time: 92.81 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 5.91 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,49,49,2.6,2.6,100000
total time: 99.00 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047200k/8912896k available (2439k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673806)
Calibrating delay using timer specific routine.. 5344.78 BogoMIPS (lpj=2672394)
Calibrating delay using timer specific routine.. 5344.44 BogoMIPS (lpj=2672223)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672388)

Core 2 Quad Q6700

104333291050894328497210731832142011886307463619255971845386848623926259426375565802182981922335396386883218649081565021330666794063106265653425673787139219597965391<165>

11854813632301944696197779784107475828959<41>
989586227294571474744567542974907856207448937<45>
8893537356585734852905220128099726473408062960442837007302516244982560116409577<79>

Number: n
N=104333291050894328497210731832142011886307463619255971845386848623926259426375565802182981922335396386883218649081565021330666794063106265653425673787139219597965391
  ( 165 digits)
SNFS difficulty: 171 digits.
Divisors found:

Mon Jul 07 08:20:12 2008  prp41 factor: 11854813632301944696197779784107475828959
Mon Jul 07 08:20:12 2008  prp45 factor: 989586227294571474744567542974907856207448937
Mon Jul 07 08:20:12 2008  prp79 factor: 8893537356585734852905220128099726473408062960442837007302516244982560116409577
Mon Jul 07 08:20:12 2008  elapsed time 03:35:37 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 131.75 hours.
Scaled time: 190.77 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_2_1_168_3
n: 104333291050894328497210731832142011886307463619255971845386848623926259426375565802182981922335396386883218649081565021330666794063106265653425673787139219597965391
skew: 1.55
deg: 5
c5: 19
c0: 170
m: 10000000000000000000000000000000000
type: snfs
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5900189)
Primes: RFBsize:425648, AFBsize:427217, largePrimes:8696525 encountered
Relations: rels:8265355, finalFF:868827
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 131.37 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,48,48,2.5,2.5,100000
total time: 131.75 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4150916319232761671539358595025702780677783501173809882863812208715661747821991680420080989<91>

730838499256988735456103400088494610213<39>
5679662912466728551265886075488345660885194579796953<52>

Mon May 26 16:05:50 2008  Msieve v. 1.35
Mon May 26 16:05:50 2008  random seeds: f9076ce4 4dd5fde8
Mon May 26 16:05:50 2008  factoring 4150916319232761671539358595025702780677783501173809882863812208715661747821991680420080989 (91 digits)
Mon May 26 16:05:51 2008  searching for 15-digit factors
Mon May 26 16:05:53 2008  commencing quadratic sieve (91-digit input)
Mon May 26 16:05:53 2008  using multiplier of 5
Mon May 26 16:05:53 2008  using 64kb Pentium 4 sieve core
Mon May 26 16:05:53 2008  sieve interval: 18 blocks of size 65536
Mon May 26 16:05:53 2008  processing polynomials in batches of 6
Mon May 26 16:05:53 2008  using a sieve bound of 1715599 (64706 primes)
Mon May 26 16:05:53 2008  using large prime bound of 164697504 (27 bits)
Mon May 26 16:05:53 2008  using double large prime bound of 616646889281472 (42-50 bits)
Mon May 26 16:05:53 2008  using trial factoring cutoff of 50 bits
Mon May 26 16:05:53 2008  polynomial 'A' values have 12 factors
Mon May 26 19:12:04 2008  65311 relations (16822 full + 48489 combined from 768000 partial), need 64802
Mon May 26 19:12:07 2008  begin with 784822 relations
Mon May 26 19:12:08 2008  reduce to 163602 relations in 10 passes
Mon May 26 19:12:08 2008  attempting to read 163602 relations
Mon May 26 19:12:13 2008  recovered 163602 relations
Mon May 26 19:12:13 2008  recovered 144384 polynomials
Mon May 26 19:12:13 2008  attempting to build 65311 cycles
Mon May 26 19:12:13 2008  found 65311 cycles in 5 passes
Mon May 26 19:12:13 2008  distribution of cycle lengths:
Mon May 26 19:12:13 2008     length 1 : 16822
Mon May 26 19:12:13 2008     length 2 : 11982
Mon May 26 19:12:13 2008     length 3 : 11293
Mon May 26 19:12:13 2008     length 4 : 8641
Mon May 26 19:12:13 2008     length 5 : 6470
Mon May 26 19:12:13 2008     length 6 : 4167
Mon May 26 19:12:13 2008     length 7 : 2635
Mon May 26 19:12:13 2008     length 9+: 3301
Mon May 26 19:12:13 2008  largest cycle: 19 relations
Mon May 26 19:12:13 2008  matrix is 64706 x 65311 (16.2 MB) with weight 3988777 (61.07/col)
Mon May 26 19:12:13 2008  sparse part has weight 3988777 (61.07/col)
Mon May 26 19:12:15 2008  filtering completed in 3 passes
Mon May 26 19:12:15 2008  matrix is 60989 x 61053 (15.1 MB) with weight 3724320 (61.00/col)
Mon May 26 19:12:15 2008  sparse part has weight 3724320 (61.00/col)
Mon May 26 19:12:15 2008  saving the first 48 matrix rows for later
Mon May 26 19:12:15 2008  matrix is 60941 x 61053 (9.4 MB) with weight 2900914 (47.51/col)
Mon May 26 19:12:15 2008  sparse part has weight 2093272 (34.29/col)
Mon May 26 19:12:15 2008  matrix includes 64 packed rows
Mon May 26 19:12:15 2008  using block size 21845 for processor cache size 512 kB
Mon May 26 19:12:16 2008  commencing Lanczos iteration
Mon May 26 19:12:16 2008  memory use: 9.3 MB
Mon May 26 19:12:54 2008  lanczos halted after 965 iterations (dim = 60941)
Mon May 26 19:12:54 2008  recovered 18 nontrivial dependencies
Mon May 26 19:12:55 2008  prp39 factor: 730838499256988735456103400088494610213
Mon May 26 19:12:55 2008  prp52 factor: 5679662912466728551265886075488345660885194579796953
Mon May 26 19:12:55 2008  elapsed time 03:07:05

Pentium 4 2.4GHz, Windows XP and Cygwin)

10052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910053<173>

11908775400215661195548462282129043797<38>
826889165198643841886538166294656560201100292366830050189<57>
1020886335567388225849072357898453571339187176611699612014911899812973186198741<79>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 10052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910053 (173 digits)
Using B1=4290000, B2=8561918830, polynomial Dickson(6), sigma=905570794
Step 1 took 60681ms
********** Factor found in step 1: 11908775400215661195548462282129043797
Found probable prime factor of 38 digits: 11908775400215661195548462282129043797
Composite cofactor 844159849780020235129746469497252431004627125959824403139627884770709057725585735018317388737365147113252112148503478738967403158612049 has 135 digits


Number: n
N=844159849780020235129746469497252431004627125959824403139627884770709057725585735018317388737365147113252112148503478738967403158612049
  ( 135 digits)
SNFS difficulty: 174 digits.
Divisors found:

Fri Jun 20 02:44:06 2008  prp57 factor: 826889165198643841886538166294656560201100292366830050189
Fri Jun 20 02:44:06 2008  prp79 factor: 1020886335567388225849072357898453571339187176611699612014911899812973186198741
Fri Jun 20 02:44:06 2008  elapsed time 02:59:28 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 96.48 hours.
Scaled time: 80.94 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_2_1_172_3
n: 844159849780020235129746469497252431004627125959824403139627884770709057725585735018317388737365147113252112148503478738967403158612049
type: snfs
deg: 5
c5: 19000
c0: 17
skew: 0.25
m: 10000000000000000000000000000000000
rlim: 4500000
alim: 4500000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 11300747)
Primes: RFBsize:315948, AFBsize:315306, largePrimes:6194474 encountered
Relations: rels:6248801, finalFF:651129
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 96.15 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.5,2.5,100000
total time: 96.48 hours.
 --------- CPU info (if available) ----------

55890963665493588528041857534327803251081190560875879538353190707073005751383256471682506497937951215272065561923780848354291255793416985516773684318071368378319<161>

362526225839588277721250568695933<33>
154170814914296419684578780282258752148256625618951459506216921761696825246434830876808235277658346703009606494528247566619760443<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1707886364
Step 1 took 52053ms
Step 2 took 17444ms
********** Factor found in step 2: 362526225839588277721250568695933
Found probable prime factor of 33 digits: 362526225839588277721250568695933
Probable prime cofactor 154170814914296419684578780282258752148256625618951459506216921761696825246434830876808235277658346703009606494528247566619760443 has 129 digits

GMP-ECM 6.2.1

725340408523856727490305316158682760897222806853203545418258682577430345493177559117370558137007400913117491939055802114609357654531<132>

4956648204881915050768672150327<31>
146336874948973085318917842213648178095098263874900615495508640162228819919842162403788352528350133653<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2131237211
Step 1 took 16750ms
Step 2 took 6958ms
********** Factor found in step 2: 4956648204881915050768672150327
Found probable prime factor of 31 digits: 4956648204881915050768672150327
Probable prime cofactor 146336874948973085318917842213648178095098263874900615495508640162228819919842162403788352528350133653 has 102 digits

GMP-ECM 6.2.1

10052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910053<179>

1849590095332545517981729396507306427776395737285843<52>
1590976674832112443983760714051680873712445958345760173293<58>
3416272406688343554143889986701948138927926610009907327005065997766947<70>

Number: 21113_179
N=10052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910053
  ( 179 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=1849590095332545517981729396507306427776395737285843 (pp52)
 r2=1590976674832112443983760714051680873712445958345760173293 (pp58)
 r3=3416272406688343554143889986701948138927926610009907327005065997766947 (pp70)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 552.22 hours.
Scaled time: 1112.17 units (timescale=2.014).
Factorization parameters were as follows:
n: 10052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910053
m: 1000000000000000000000000000000000000
c5: 19
c0: 170
skew: 1.55
type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 10800001)
Primes: RFBsize:501962, AFBsize:503851, largePrimes:6702609 encountered
Relations: rels:7184475, finalFF:1158871
Max relations in full relation-set: 32
Initial matrix: 1005878 x 1158871 with sparse part having weight 84778609.
Pruned matrix : 880411 x 885504 with weight 65680688.
Total sieving time: 545.72 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 6.15 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 552.22 hours.
 --------- CPU info (if available) ----------

1984890667496387256870411175471933284050200335950517385834596344837553401026841243318222312796551001048959066291777342172798830826277282063934023<145>

31915639971925148649949624155831109558894465108660417931797103131<65>
62191786511015051503313950395039243159321585308982879892428352038441609372369733<80>

Number: 21113_183
N=1984890667496387256870411175471933284050200335950517385834596344837553401026841243318222312796551001048959066291777342172798830826277282063934023
  ( 145 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=31915639971925148649949624155831109558894465108660417931797103131
 r2=62191786511015051503313950395039243159321585308982879892428352038441609372369733
Version: 
Total time: 82.76 hours.
Scaled time: 430.61 units (timescale=5.203).
Factorization parameters were as follows:
n: 1984890667496387256870411175471933284050200335950517385834596344837553401026841243318222312796551001048959066291777342172798830826277282063934023
m: 2000000000000000000000000000000000000
deg: 5
c5: 2375
c0: 68
skew: 0.49
# Murphy_E = 5.555e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20683984
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1623849 x 1624096
Total sieving time: 77.17 hours.
Total relation processing time: 2.07 hours.
Matrix solve time: 3.33 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 82.76 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374164k/51380224k available (5220k kernel code, 1085960k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.16 BogoMIPS (lpj=3400080)
Total of 12 processors activated (81601.92 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

7120956933892030559550889375721002788821311212558870692311390576490684874593789704365357401809474449816390966672154153108898907541652255752500175620910826813810957793329<169>

173912889834764345805215034021550561033<39>
40945538543219501482020949112897867182239364436188393304212463622907079853221317896092457598608497628845370550491285718658436430313<131>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3407109608
Step 1 took 70126ms
Step 2 took 19809ms
********** Factor found in step 2: 173912889834764345805215034021550561033
Found probable prime factor of 39 digits: 173912889834764345805215034021550561033

11017035326423074443541509309924098365014391520228740949533024370816428288295251811330117259879655770933570413699176892820578910511289625910596407155849541681647<161>

9375240122957622648018580386270703447369355334409585809290343787487<67>
1175120336325584365158398705625198209914866727623647256453006727119825371685225050334493469681<94>

N = 11017035326423074443541509309924098365014391520228740949533024370816428288295251811330117259879655770933570413699176892820578910511289625910596407155849541681647 (161 digits)
SNFS difficulty: 189 digits.
Divisors found:
r1=9375240122957622648018580386270703447369355334409585809290343787487 (pp67)
r2=1175120336325584365158398705625198209914866727623647256453006727119825371685225050334493469681 (pp94)
Version: Msieve v. 1.52 (SVN exported)
Total time: 27.82 hours.
Factorization parameters were as follows:
n: 11017035326423074443541509309924098365014391520228740949533024370816428288295251811330117259879655770933570413699176892820578910511289625910596407155849541681647
m: 10000000000000000000000000000000000000
deg: 5
c5: 1900
c0: 17
skew: 0.39
# Murphy_E = 4.534e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22550382
Relations: 3242564 relations
Pruned matrix : 1995796 x 1996021
Polynomial selection time: 0.00 hours.
Total sieving time: 24.25 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.14 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,600000
total time: 27.82 hours.

8377414821582387351215945732876035463194324251866689047628437905548892325816290640700907140255377995997684110182068592241881410442070504829578291593988872271827704389<166>

12607144852434108355883795606667372343253262067<47>
1159442247485019407401867258616698523751665315569367<52>
573118142972279394701818974599044271038072296538170016768410102265201<69>

********** Factor found in step 2: 12607144852434108355883795606667372343253262067
Found prime factor of 47 digits: 12607144852434108355883795606667372343253262067
Composite cofactor 664497387762220302180550473332709997611256362538522608067598401300565075298278626274857742254916920503856877899745697767 has 120 digits

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1:1423996612
Step 1 took 372400ms
Step 2 took 135082ms
********** Factor found in step 2: 1159442247485019407401867258616698523751665315569367
Found prime factor of 52 digits: 1159442247485019407401867258616698523751665315569367
Prime cofactor 573118142972279394701818974599044271038072296538170016768410102265201 has 69 digits

GMP-ECM7.0.4

1451757195999171062998543623607918262099819163512582489952603270667798599083329068297680721046143776056978385823051296635589608690824965700977535230167747<154>

2360741037102406521857608930054145098937<40>
16932087725907070915058289851554777699829<41>
36319104179812048986620859562889162164610658022402470629723830306625588239<74>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4096056192
Step 1 took 20030ms
Step 2 took 12293ms
********** Factor found in step 2: 16932087725907070915058289851554777699829
Found probable prime factor of 41 digits: 16932087725907070915058289851554777699829
Composite cofactor 85739999668079844125808825577101385600051822642796303656300101812826395827389288423580882644208215791816478601943 has 113 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2101637049
Step 1 took 13572ms
Step 2 took 9625ms
********** Factor found in step 2: 2360741037102406521857608930054145098937
Found probable prime factor of 40 digits: 2360741037102406521857608930054145098937
Probable prime cofactor 36319104179812048986620859562889162164610658022402470629723830306625588239 has 74 digits

GMP-ECM 6.3

6178801507627567861126558114880180030763927506398311561188020929877106890014081163435803878336146314019700620806951476896160362663128489803351512017768932335619489891155533441950159835839<187>

5159821878045688607762327346221433523<37>
1197483489481970933197735726304293294387797401694296550112736151012667802612072712189611721185927094362433494974127049810061666990228118386344080983493<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2833440132
Step 1 took 69753ms
Step 2 took 21721ms
********** Factor found in step 2: 5159821878045688607762327346221433523
Found probable prime factor of 37 digits: 5159821878045688607762327346221433523
Probable prime cofactor 1197483489481970933197735726304293294387797401694296550112736151012667802612072712189611721185927094362433494974127049810061666990228118386344080983493 has 151 digits

GMP-ECM 6.2.1

526734650317507899326961834152685869264931016049877393207557019564396397492617433768572633449938812933129889238539056588774208807053655547200438743311932130699409422543<168>

72515908696646951418677567738876536131173<41>

7263711643206140742291345204205928101134172656963811011149338462797285524007185484327762709075927940472564400809889860047334691<127>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1095729776
Step 1 took 60162ms
Step 2 took 21793ms
********** Factor found in step 2: 72515908696646951418677567738876536131173
Found probable prime factor of 41 digits: 72515908696646951418677567738876536131173
Composite cofactor 7263711643206140742291345204205928101134172656963811011149338462797285524007185484327762709075927940472564400809889860047334691 has 127 digits

7263711643206140742291345204205928101134172656963811011149338462797285524007185484327762709075927940472564400809889860047334691<127>

17526569711396802496986111063060815981873<41>
414440005250020479227431185712489784053314590823247423254627707297256770082758820600467<87>

N = 7263711643206140742291345204205928101134172656963811011149338462797285524007185484327762709075927940472564400809889860047334691 (127 digits)
Divisors found:
r1=17526569711396802496986111063060815981873 (pp41)
r2=414440005250020479227431185712489784053314590823247423254627707297256770082758820600467 (pp87)
Version: Msieve v. 1.52 (SVN exported)
Total time: 11.40 hours.
Factorization parameters were as follows:
n: 7263711643206140742291345204205928101134172656963811011149338462797285524007185484327762709075927940472564400809889860047334691
skew: 224509.66
c0: 8842473002515886009238764277200
c1: 89618909187393819132356500
c2: -421412065413784830628
c3: -4739931246989841
c4: -9626200968
c5: 42804
Y0: -2792125542400936254463889
Y1: 13384240966421
rlim: 7800000
alim: 7800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
type: gnfs
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 14001826
Relations: 1301348 relations
Pruned matrix : 855645 x 855872
Polynomial selection time: 0.00 hours.
Total sieving time: 10.70 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.38 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,7800000,7800000,27,27,54,54,2.5,2.5,600000
total time: 11.40 hours.

6998000226037933947422667566324758155421529885428372756968757873096816442027668138588012971310224961161486674107259984116306739772025476964572174101574747960566296114239232110524233019<184>

495951443326367470693312333191677243<36>
14110252768097715648052479058753964712718977645950695113515799625599873518496632263975111678437158766263932625994938329981018969342883859860860588033<149>

N=6998000226037933947422667566324758155421529885428372756968757873096816442027668138588012971310224961161486674107259984116306739772025476964572174101574747960566296114239232110524233019
  ( 184 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=495951443326367470693312333191677243 (pp36)
 r2=14110252768097715648052479058753964712718977645950695113515799625599873518496632263975111678437158766263932625994938329981018969342883859860860588033 (pp149)
Version: Msieve v. 1.48
Total time:
Scaled time: 49.63 units (timescale=0.451).
Factorization parameters were as follows:
n: 6998000226037933947422667566324758155421529885428372756968757873096816442027668138588012971310224961161486674107259984116306739772025476964572174101574747960566296114239232110524233019
m: 100000000000000000000000000000000000000
deg: 5
c5: 190000
c0: 17
skew: 0.16
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6300000, 15580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2507054 x 2507279
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,55,55,2.5,2.5,100000
total time:

177969904832397582193035660289568551089535032708071893918108275146223318296037496934807698327213896732553379409185949749030183533908413842537547720398519583271720135617<168>

282503324001414019100503379652927974071<39>
629974551490611084435937066618096229596276276489387128835727689298806791822488193421449041113663483875019510871892831411163366727<129>

Using B1=1000000, B2=5704990210, polynomial Dickson(6), sigma=2969301091
Step 1 took 8436ms
Step 2 took 104ms
********** Factor found in step 2: 282503324001414019100503379652927974071
Found probable prime factor of 39 digits: 282503324001414019100503379652927974071
Probable prime cofactor 629974551490611084435937066618096229596276276489387128835727689298806791822488193421449041113663483875019510871892831411163366727 has 129 digits

GMP-ECM 6.2.1

48283082454627706205987977615616200870462481065142701767158963794419938095572042480574605678716644840982867969397953743748956885166483820268809818578825660135623854141854755260669270701<185>

757172298992736651155640421818664707001111018013619179<54>
63767629268607029088294293890954146645953874430674959861032700294960917208246154264617187829329264257313053274568136463964092939719<131>

48283082454627706205987977615616200870462481065142701767158963794419938095572042480574605678716644840982867969397953743748956885166483820268809818578825660135623854141854755260669270701=757172298992736651155640421818664707001111018013619179*63767629268607029088294293890954146645953874430674959861032700294960917208246154264617187829329264257313053274568136463964092939719

cado polynomial
n: 48283082454627706205987977615616200870462481065142701767158963794419938095572042480574605678716644840982867969397953743748956885166483820268809818578825660135623854141854755260669270701
skew: 0.62
type: snfs
c0: 17
c5: 190
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 190*x^5+17
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13600000
tasks.lim1 = 13600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 757172298992736651155640421818664707001111018013619179 63767629268607029088294293890954146645953874430674959861032700294960917208246154264617187829329264257313053274568136463964092939719
Info:Square Root: Total cpu/real time for sqrt: 758.31/342.463
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 7.43/1.25469
Info:Generate Free Relations: Total cpu/real time for freerel: 119.25/10.1784
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31494419
Info:Lattice Sieving: Average J: 1893.49 for 4993050 special-q, max bucket fill -bkmult 1.0,1s:1.077840
Info:Lattice Sieving: Total time: 1.68256e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 116.34/130.791
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 129.79999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 927.6/575.895
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 493.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 813.58/490.68
Info:Filtering - Merging: Merged matrix has 3010740 rows and total weight 511826099 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1659.8/1439.41
Info:Filtering - Merging: Total cpu/real time for replay: 108.88/85.7936
Info:Linear Algebra: Total cpu/real time for bwc: 164368/71672.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 45989.83, iteration CPU time 0.48, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (94208 iterations)
Info:Linear Algebra: Lingen CPU time 324.05, WCT time 178.29
Info:Linear Algebra: Mksol: WCT time 25113.31, iteration CPU time 0.52, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47104 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 112.57/28.5545
Info:Square Root: Total cpu/real time for sqrt: 758.31/342.463
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.47894e+06/72048.6
757172298992736651155640421818664707001111018013619179 63767629268607029088294293890954146645953874430674959861032700294960917208246154264617187829329264257313053274568136463964092939719

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

505802532540318894955779018368521733039752275370529204441960451934547938420227274941792933140036020449633917857375822693338123479313958510073186554854039029<156>

130987118004416341717932217759037<33>

3861467755350303484159223919449335539186556972805576020551599415949486879617583193229971628069176142786276497779467927144217<124>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3671506003
Step 1 took 19437ms
Step 2 took 12449ms
********** Factor found in step 2: 130987118004416341717932217759037
Found probable prime factor of 33 digits: 130987118004416341717932217759037
Composite cofactor 3861467755350303484159223919449335539186556972805576020551599415949486879617583193229971628069176142786276497779467927144217 has 124 digits

GMP-ECM 6.2.1

3861467755350303484159223919449335539186556972805576020551599415949486879617583193229971628069176142786276497779467927144217<124>

15872932989461007548410407402377925558623951734243828910973433<62>
243273738880783002227362363624452946028222802288282346250262049<63>

Number: 21113_197
N=3861467755350303484159223919449335539186556972805576020551599415949486879617583193229971628069176142786276497779467927144217
  ( 124 digits)
Divisors found:
 r1=15872932989461007548410407402377925558623951734243828910973433 (pp62)
 r2=243273738880783002227362363624452946028222802288282346250262049 (pp63)
Version: Msieve-1.40
Total time: 99.47 hours.
Scaled time: 98.87 units (timescale=0.994).
Factorization parameters were as follows:
# Murphy_E = 1.697274e-10, selected by Jeff Gilchrist 
n: 3861467755350303484159223919449335539186556972805576020551599415949486879617583193229971628069176142786276497779467927144217
Y0: -755771304549153749000013
Y1: 22680260791903
c0: 121490305313515955986026122165920
c1: 1176066474224985519877609868
c2: -1293811007753745607480
c3: -14927256567925211
c4: 10409629152
c5: 15660
skew: 478491.47
type: gnfs
# selected mechanically
rlim: 6600000
alim: 6600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3300000, 6200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 909121 x 909347
Total sieving time: 96.67 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 1.91 hours.
Time per square root: 0.65 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6600000,6600000,27,27,52,52,2.5,2.5,100000
total time: 99.47 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

188916571249164899444502230886205186625963561272428180279158443488817692636867438662345730837751927232996935877876723458611179647643073157830586957337149430661119798585459<171>

898447831098242238266148503<27>
210269939678342336529513921152874898053927458055258874398493904056791369753272627555998930381253413935650920678917164241827912150245681803371653<144>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2082085495
Step 1 took 19441ms
Step 2 took 12897ms
********** Factor found in step 2: 898447831098242238266148503
Found probable prime factor of 27 digits: 898447831098242238266148503
Probable prime cofactor 210269939678342336529513921152874898053927458055258874398493904056791369753272627555998930381253413935650920678917164241827912150245681803371653 has 144 digits

GMP-ECM 6.2.1

471095731368065182655447395200567856415792613676907819422503623213426439886123267459621556083047280393061200321218642257765988644398064017<138>

5689574825102194903522337422096099<34>
82799812964864815493104170946381838816531860642932752622489055942088875401237043037278271514937960332283<104>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1623807866
Step 1 took 6599ms
Step 2 took 5085ms
********** Factor found in step 2: 5689574825102194903522337422096099
Found probable prime factor of 34 digits: 5689574825102194903522337422096099
Probable prime cofactor 82799812964864815493104170946381838816531860642932752622489055942088875401237043037278271514937960332283 has 104 digits

GMP-ECM 6.3

1383632343747971204795976826203308493355986804379656302539821853806584198463903243117046792261661576373464460486086418310598645300552261655256912406043159107<157>

1539505408768024985265951816555803248074982453854405050263673973837551<70>
898751206632791394886786132421007085431430823608281960127867765142349370838068761483757<87>

Number: n
N=1383632343747971204795976826203308493355986804379656302539821853806584198463903243117046792261661576373464460486086418310598645300552261655256912406043159107  ( 157 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Jul 29 17:13:25 2024  prp70 factor: 1539505408768024985265951816555803248074982453854405050263673973837551
Mon Jul 29 17:13:25 2024  prp87 factor: 898751206632791394886786132421007085431430823608281960127867765142349370838068761483757
Mon Jul 29 17:13:25 2024  elapsed time 04:49:27 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.952).
Factorization parameters were as follows:
#
# N = 19x10^204+17 = 21(203)3
#
n: 1383632343747971204795976826203308493355986804379656302539821853806584198463903243117046792261661576373464460486086418310598645300552261655256912406043159107
m: 10000000000000000000000000000000000
deg: 6
c6: 19
c0: 17
skew: 0.98
# Murphy_E = 7.668e-12
type: snfs
lss: 1
rlim: 18500000
alim: 18500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 50000000
qintsize: 50000
Factor base limits: 18500000/18500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [50000000, 88000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4752065 hash collisions in 26270791 relations (22033667 unique)
Msieve: matrix is 2852003 x 2852228 (803.7 MB)

Sieving start time: 2024/07/28 18:28:23
Sieving end time  : 2024/07/29 12:20:07

Total sieving time: 17hrs 51min 44secs.

Total relation processing time: 4hrs 30min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 49sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18500000,18500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

70370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<206>

172594517343173856770030854125525572639<39>

407720774991080739438641905401764439365118716706032020295393344721992258706795907500168353002532990281300271156074914331506646546972291038524843852595219369003895274589<168>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=96857654
Step 1 took 98618ms
Step 2 took 33522ms
********** Factor found in step 2: 172594517343173856770030854125525572639
Found probable prime factor of 39 digits: 172594517343173856770030854125525572639

407720774991080739438641905401764439365118716706032020295393344721992258706795907500168353002532990281300271156074914331506646546972291038524843852595219369003895274589<168>

554508386043231371824387687934640058591798906742680775844017<60>
735283334307036850145921579400935487484704746658695101794703898859623949826034510813084045823960809093783917<108>

Number: n
N=407720774991080739438641905401764439365118716706032020295393344721992258706795907500168353002532990281300271156074914331506646546972291038524843852595219369003895274589  ( 168 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu Jun 20 06:06:12 2024  prp60 factor: 554508386043231371824387687934640058591798906742680775844017
Thu Jun 20 06:06:12 2024  prp108 factor: 735283334307036850145921579400935487484704746658695101794703898859623949826034510813084045823960809093783917
Thu Jun 20 06:06:12 2024  elapsed time 03:51:56 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.955).
Factorization parameters were as follows:
#
# N = 19x10^206+17 = 21(205)3
#
n: 407720774991080739438641905401764439365118716706032020295393344721992258706795907500168353002532990281300271156074914331506646546972291038524843852595219369003895274589
m: 100000000000000000000000000000000000000000
deg: 5
c5: 190
c0: 17
skew: 0.62
# Murphy_E = 6.758e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49950000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4739608 hash collisions in 21113356 relations (16361453 unique)
Msieve: matrix is 2670288 x 2670513 (750.7 MB)

Sieving start time: 2024/06/19 05:28:23
Sieving end time  : 2024/06/20 02:13:53

Total sieving time: 20hrs 45min 30secs.

Total relation processing time: 3hrs 42min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 36sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

24035423447557723748094001989553681250464713843413519844980829327282893658835054107096814623660670462292666658087285518175272853004902377553347390842893546349272372526667482580741151181438405912424731<200>

165161140362432556564215221153599699648099180958828437558500411101902928908620590527<84>
145527110038196401451022994922486529866022919213364578981225757328406337702127267139486012261098973598857298704108453<117>

Number: n
N=24035423447557723748094001989553681250464713843413519844980829327282893658835054107096814623660670462292666658087285518175272853004902377553347390842893546349272372526667482580741151181438405912424731
  ( 200 digits)
SNFS difficulty: 208 digits.
Divisors found:

Wed Aug  2 08:25:24 2017  prp84 factor: 165161140362432556564215221153599699648099180958828437558500411101902928908620590527
Wed Aug  2 08:25:24 2017  prp117 factor: 145527110038196401451022994922486529866022919213364578981225757328406337702127267139486012261098973598857298704108453
Wed Aug  2 08:25:24 2017  elapsed time 10:54:02 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.827).
Factorization parameters were as follows:
#
# 19Ã-10^207+17 21(206)3
#
n: 24035423447557723748094001989553681250464713843413519844980829327282893658835054107096814623660670462292666658087285518175272853004902377553347390842893546349272372526667482580741151181438405912424731
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1900
c0: 17
skew: 0.39
# Murphy_E = 6.68e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 32900000)
Primes: RFBsize:1329943, AFBsize:1329402,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8356571 hash collisions in 55814044 relations (49361164 unique)
Msieve: matrix is 3029815 x 3030043 (867.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 10hrs 35min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 12sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<209>

4737628247118642429666769184435631688971331772849876462822862702208350930841440451<82>
4456050582683558211076224869900877135728531191035272405320762097691058548270417511472889596108876471612882034485343359883397763<127>

Number: 21113_208
N=21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
  ( 209 digits)
SNFS difficulty: 211 digits.
Divisors found:
 r1=4737628247118642429666769184435631688971331772849876462822862702208350930841440451
 r2=4456050582683558211076224869900877135728531191035272405320762097691058548270417511472889596108876471612882034485343359883397763
Version: 
Total time: 822.65 hours.
Scaled time: 3001.01 units (timescale=3.648).
Factorization parameters were as follows:
n: 21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 19
c0: 1700
skew: 2.46
# Murphy_E = 5.113e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6

Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [14000000, 35100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 45703617
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4903527 x 4903774
Total sieving time: 734.66 hours.
Total relation processing time: 18.52 hours.
Matrix solve time: 68.98 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,28000000,28000000,29,29,57,57,2.6,2.6,100000
total time: 822.65 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991268k/38797312k available (5221k kernel code, 1057684k absent, 748360k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.81 BogoMIPS (lpj=3333406)
Total of 12 processors activated (80001.74 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

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

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

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

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

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

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

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

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

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

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

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

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

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

GGNFS / Msieve v1.39

Core i7 980

175179494681208138432929339859460751329806416022787301535965055045535420520380355416764638944852240061088784223573717410797849450785632123272866041812094855520882880139<168>

2879838620533640775889446978005443<34>
513476661279476568310042691907158951<36>
118466186640499355793166499731905494844484094736986627970001778818895655370644706825178362216453823<99>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4258928262
Step 1 took 7114ms
Step 2 took 5382ms
********** Factor found in step 2: 513476661279476568310042691907158951
Found probable prime factor of 36 digits: 513476661279476568310042691907158951
Composite cofactor 341163499514656488653781732333848136739390504725845188271264009067219108088868878230981859147989143097996683581096505569441052158589 has 132 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2513164041
Step 1 took 5398ms
Step 2 took 4696ms
********** Factor found in step 2: 2879838620533640775889446978005443
Found probable prime factor of 34 digits: 2879838620533640775889446978005443
Probable prime cofactor 118466186640499355793166499731905494844484094736986627970001778818895655370644706825178362216453823 has 99 digits

GMP-ECM 6.3

2757203957197165768471198610253112774430677289738165754104714833278406928186010846840367613650133165695332735745654610284457829944076647948154117252855483766671470006192099623873845438982423405236859057103<205>

286537541560873947118667597614579<33>
9622487657909241060594497512571953931188651799841206385348661510477012147643148592208082491650960275616448483822949198668168626563769246233994679416135326880325973881195957<172>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=946229226
Step 1 took 9376ms
Step 2 took 6536ms
********** Factor found in step 2: 286537541560873947118667597614579
Found probable prime factor of 33 digits: 286537541560873947118667597614579
Probable prime cofactor 9622487657909241060594497512571953931188651799841206385348661510477012147643148592208082491650960275616448483822949198668168626563769246233994679416135326880325973881195957 has 172 digits

GMP-ECM 6.3

541231833842031469306647599573252053136740015764078737248076779855609126910076038452261963248091291796240735869835149221872473373166213551789825039<147>

1043941946298180406122716617445572910452684113379130295671<58>
518450126236655500871145151241358398411825864826812543189907932424449639421711154364884009<90>

Number: 21113_211
N = 541231833842031469306647599573252053136740015764078737248076779855609126910076038452261963248091291796240735869835149221872473373166213551789825039 (147 digits)
Divisors found:
r1=1043941946298180406122716617445572910452684113379130295671 (pp58)
r2=518450126236655500871145151241358398411825864826812543189907932424449639421711154364884009 (pp90)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 118.69 hours.
Factorization parameters were as follows:
n: 541231833842031469306647599573252053136740015764078737248076779855609126910076038452261963248091291796240735869835149221872473373166213551789825039
# norm 3.735324e-14 alpha -6.738932 e 8.293e-12 rroots 5
skew: 11887287.79
c0: -24401755425180813795791745766250850441
c1: -2277045538499429303454274617549
c2: 2626472806240541352748901
c3: 320228676704858441
c4: -21833182468
c5: 60
Y0: -97959490494012213141007660976
Y1: 313459524386521
type: gnfs
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 42098669
Relations: 6268666 relations
Pruned matrix : 3654932 x 3655163
Polynomial selection time: 0.70 hours.
Total sieving time: 109.06 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 8.22 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: gnfs,146,5,65,2000,1e-05,0.28,250,20,50000,3600,17700000,17700000,29,29,58,58,2.6,2.6,100000
total time: 118.69 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

588515685940010206837200430854099116669640138405354818209464506043135043760966951975478517825679059683092494176833822659325639425584755835879077216483769784599633810824382189391959398807<186>

33171050550667237090029216182692095205040723548670054936324473711040333248677347011105972664631723620133748328354088265470231805729152489579390286671524611797504050230294887404001592358755017169789<197>

306740631751289850037049455189460180563<39>
108140386753727653846003328364650868650408609164165019214654851095398710513518578513596488834411516433667338220224251704748396805564538826495737195934982718703<159>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1277634090
Step 1 took 99391ms
Step 2 took 32541ms
********** Factor found in step 2: 306740631751289850037049455189460180563
Found probable prime factor of 39 digits: 306740631751289850037049455189460180563

4069629182942908425101361137517075996324441790627940736232136273141008558124620008801321234729660267970597468746931<115>

1287276240907564331509001687507934260097307348472477<52>
3161426470571468423686825604295304531017303168038045678729583503<64>

N = 4069629182942908425101361137517075996324441790627940736232136273141008558124620008801321234729660267970597468746931 (115 digits)
Divisors found:
r1=1287276240907564331509001687507934260097307348472477 (pp52)
r2=3161426470571468423686825604295304531017303168038045678729583503 (pp64)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 4.98 hours.
Factorization parameters were as follows:
n: 4069629182942908425101361137517075996324441790627940736232136273141008558124620008801321234729660267970597468746931
Y0: -13588570559396818880789
Y1: 1382941903681
c0: 39789188556222949337764406400
c1: 4349721857615775293847320
c2: 33830468206349080766
c3: -425025759827749
c4: -1263370050
c5: 8784
skew: 138923.97 
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8403761
Relations: 668376 relations
Pruned matrix : 411861 x 412086
Polynomial selection time: 0.00 hours.
Total sieving time: 4.78 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 4.98 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

35718347850095026216911815680473967026441938497559014403684649612226588611825552762575288684022716479395971647885054114334312263197112994942836458847830515315164529397024591221047247<182>

3700028252220498023241444184567979175308861<43>

9653533815224079292614133610740094772193162219261937512876112990231205250572144670270033934523197247710086542186514063872101903868543628027<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3707198594
Step 1 took 22884ms
Step 2 took 8958ms
********** Factor found in step 2: 3700028252220498023241444184567979175308861
Found probable prime factor of 43 digits: 3700028252220498023241444184567979175308861

9653533815224079292614133610740094772193162219261937512876112990231205250572144670270033934523197247710086542186514063872101903868543628027<139>

1046475936866495925368695677410999658548913967<46>
9224802477666171134378906553243808009515420165533680116827897970014631726623156873051430600181<94>

Number: 21113_215
N = 9653533815224079292614133610740094772193162219261937512876112990231205250572144670270033934523197247710086542186514063872101903868543628027 (139 digits)
Divisors found:
r1=1046475936866495925368695677410999658548913967 (pp46)
r2=9224802477666171134378906553243808009515420165533680116827897970014631726623156873051430600181 (pp94)
Version: Msieve v. 1.51 (SVN 845)
Total time: 193.28 hours.
Factorization parameters were as follows:
# Murphy_E = 2.452e-11, selected by Erik Branger
n: 9653533815224079292614133610740094772193162219261937512876112990231205250572144670270033934523197247710086542186514063872101903868543628027
Y0: -1086221836508325733312927274
Y1: 209179413891757
c0: 34726975523312518203532496812702755
c1: 62678662747186405325490969312
c2: -173575443020154990596683
c3: -33768208120308188
c4: 60886477260
c5: 6384
skew: 1737757.44
type: gnfs
# selected mechanically
rlim: 17100000
alim: 17100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23510323
Relations: 4180836 relations
Pruned matrix : 2574664 x 2574889
Polynomial selection time: 0.00 hours.
Total sieving time: 186.79 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 5.08 hours.
time per square root: 1.27 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,17100000,17100000,28,28,55,55,2.6,2.6,100000
total time: 193.28 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

6421359723844533545670787896886933310123097779197747100586723117425680225050892956907800784881707328834495282577420824586388569975039807277368878897021158428948759471922488962878527<181>

8770310621538023359669036118482157663517356110593740766408901091897890260930068405400868175676810371824231225578973088112522836166141513022929772491006793917292082619970872888724862545529<187>

16369889358890160052748066037086811223620876065204758339403618395208058548404895351102296777317469301158323095988513531778974643248596988474438716515895278583656992848490835644107957679850553187007<197>

9069506905625321708177289481458834424206589445117402682701526077400687643971026377382878774814946293556223330554696799795330574669610904211582162869081122954789421037105174709211864297674919927299787117217<205>

21108534909300249696974098919368234446172061231839897639513673<62>
1412927053980135689201447906159100780410939620184230597848524719<64>
304092594439062662437083939087384410254566680160976646340619662368148067766113591<81>

Number: 21113_222
N = 9069506905625321708177289481458834424206589445117402682701526077400687643971026377382878774814946293556223330554696799795330574669610904211582162869081122954789421037105174709211864297674919927299787117217 (205 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=21108534909300249696974098919368234446172061231839897639513673 (pp62)
r2=1412927053980135689201447906159100780410939620184230597848524719 (pp64)
r3=304092594439062662437083939087384410254566680160976646340619662368148067766113591 (pp81)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 67.17 hours.
Factorization parameters were as follows:
n: 9069506905625321708177289481458834424206589445117402682701526077400687643971026377382878774814946293556223330554696799795330574669610904211582162869081122954789421037105174709211864297674919927299787117217
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1900
c0: 17
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: 36270403
Relations: 9661584 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 32.21 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 8277205 x 8277430
Matrix solve time: 33.58 hours.
time per square root: 1.00 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 67.17 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

3440462370034316673151865319807859962964081745235953760540187085263576610356607629811566910694426961098634700096538013628969828617154070155196343594740530533148445579043345570963894151522779741697<196>

103355894248558867620417505830757<33>
33287529415210767330073488126290672277512910163389333732000441647224489246796022093424740577697610636595274875205475068215214712135184235185277709206937086084749421<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=952292163
Step 1 took 12168ms
Step 2 took 7067ms
********** Factor found in step 2: 103355894248558867620417505830757
Found probable prime factor of 33 digits: 103355894248558867620417505830757
Probable prime cofactor 33287529415210767330073488126290672277512910163389333732000441647224489246796022093424740577697610636595274875205475068215214712135184235185277709206937086084749421 has 164 digits

GMP-ECM 6.3

1114880759306322888282110967857829662584409900269445842174335012467612520480417114954941757420348463739169331194795180012917398424699899400379257435154887247277343964455689198447<178>

3693963192415508269553679351671060494277203743874372946052047410841084079852470164294959950659982157516855757225582839417645283192878269516682581726544836146337888322070201909398313<181>

129489511149140575763658185461619381048233<42>

28527122850598738786918219825437003100952060782332805568151203499416935455815476712000225923383460904102185901397007448880816329920163621761<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3116699069
Step 1 took 22740ms
Step 2 took 8916ms
********** Factor found in step 2: 129489511149140575763658185461619381048233
Found probable prime factor of 42 digits: 129489511149140575763658185461619381048233

28527122850598738786918219825437003100952060782332805568151203499416935455815476712000225923383460904102185901397007448880816329920163621761<140>

15361284863475839290790492111991794667503831286530993<53>
1857079215972812178025680933417339947879082384597256966927472890598601530735018452052177<88>

ANumber: 21113_226
N = 28527122850598738786918219825437003100952060782332805568151203499416935455815476712000225923383460904102185901397007448880816329920163621761 (140 digits)
Divisors found:
r1=15361284863475839290790492111991794667503831286530993 (pp53)
r2=1857079215972812178025680933417339947879082384597256966927472890598601530735018452052177 (pp88)
Version: Msieve v. 1.51 (SVN 845)
Total time: 335.29 hours.
Factorization parameters were as follows:
# Murphy_E = 2.416e-11, selected by Erik Branger
# expecting poly E from 2.22e-011 to > 2.55e-011
n: 28527122850598738786918219825437003100952060782332805568151203499416935455815476712000225923383460904102185901397007448880816329920163621761
Y0: -1555561013315874135955974473
Y1: 930188625246397
c0: 229410090344282070678329271604200
c1: 6516176999470534953262029430
c2: -17515829796205929261217
c3: -9706321057522191
c4: 11687291991
c5: 3132
skew: 1143342.41
type: gnfs
# selected mechanically
rlim: 17600000
alim: 17600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23261217
Relations: 3038746 relations
Pruned matrix : 1914736 x 1914961
Polynomial selection time: 0.00 hours.
Total sieving time: 330.78 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.69 hours.
time per square root: 0.61 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17600000,17600000,28,28,55,55,2.6,2.6,100000
total time: 335.29 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

8758511741912531796715182688334795060013481181272590561232493174526640906265694916981939803724964338573502944016574383633627002628417940226445479554691095543095759874555752448184611367603057262977640087<202>

11386749902621383326242017304934968633501168451871829118344929383487258207921719976051071706718522393458363789028915496813192720853932955597774841840276009808565001048603242791589033695804414850845767<200>

10052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910053<233>

4303617914155035498882612630648023347113479<43>

2335920672661253887330264626577795195439330517454916386857854962188101054037940136146697218539156395324361528906116869654421561714884628484655830755519665938887413948057867343140053927568307<190>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4017947848
Step 1 took 16287ms
Step 2 took 8580ms
********** Factor found in step 2: 4303617914155035498882612630648023347113479
Found probable prime factor of 43 digits: 4303617914155035498882612630648023347113479
Composite cofactor 2335920672661253887330264626577795195439330517454916386857854962188101054037940136146697218539156395324361528906116869654421561714884628484655830755519665938887413948057867343140053927568307 has 190 digits

GMP-ECM 6.3

740257131315326498070068151172786982183716262516151620459949464224629072746226669560244460951794131149467520654675548773291911735603713494315751394159953729056660468250947615515065789083929733879<195>

7185225298017577760744369883328645928550697481322283305143762825304583556097870951886718666636818131217345783687720872738491702528132935466306995093175639732883831169419174059212923950316818782097<196>

1116399318408837181973088900640460661613490804395087842999001116399318408837181973088900640460661613490804395087842999001116399318408837181973088900640460661613490804395087842999001116399318408837181973088900640460661613490804395087843<235>

76371186803904833186276805360346026359467302268687147671913579179060367661770542220218508254281466541820377699353600376354585758650305684526209498050296425665773179730343751002178615827265404607613552333<203>

81339191648420751218489181327185903870122992920093195970943744837565029084441907010386204412012252129412516068056492807273532338280769461204485046134945211364500071910663868268143738228195756426233873356604544589380397<218>

3446375697449078782888176648661689746053516693741460352517659527865432638788520338860846946046590545152171967352646049774185491385042601605277094937339144440005808208887233182527425959280678501753097428811275014631941277029052503327<232>

392827996914268237004639068757518145916554878607767193318135132870507588059322305071085999980105006000337751252316216022901639991548415741162778508318765962181859452849839323033695016408969802798871<198>

49800967350655754848253394086609<32>

7887959166501926785130623147596807490264553796693734579354439262308596940233798530616447265814789815235733110397916912702883718249993556454671130971887815240268303719<166>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1969590845
Step 1 took 9812ms
Step 2 took 5772ms
********** Factor found in step 2: 49800967350655754848253394086609
Found probable prime factor of 32 digits: 49800967350655754848253394086609
Composite cofactor 7887959166501926785130623147596807490264553796693734579354439262308596940233798530616447265814789815235733110397916912702883718249993556454671130971887815240268303719 has 166 digits

GMP-ECM 6.3

127331776230029344659832388337267375558694992722584477839361042014300978621044781768197114758185674336475613539334386918339969817517982211464437810381769186754650239770144482439135270420091220712541037458209160453103745619<222>

11010704288412489445813266747155318175883<41>

11564362541643364054701440384668291107919460220310551714480803123324262352421356616973616766524435043287358228150943298815528945287080932460149346561530674795196453010547475847509593<182>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2766418558
Step 1 took 150456ms
Step 2 took 44907ms
********** Factor found in step 2: 11010704288412489445813266747155318175883
Found probable prime factor of 41 digits: 11010704288412489445813266747155318175883

26033007685594131539607865221935227937465423008153010369283724053845075857135720497570982681186895680410630415487050996563026950869645567250042381662568441748648048854987264479715306150665397<191>

126690961279563156995568304102668148874294928194113076146764527260857530627530588566320605993228950464547658022473296574304758357920598021686955783840456138010087433923<168>

61118541951991650560986150208497<32>
2072872768775772779749421391724340294109371784790352169697871655346137633258293297633025608697665672627771602694152216282505343303055859<136>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3130351618
Step 1 took 6396ms
Step 2 took 4742ms
********** Factor found in step 2: 61118541951991650560986150208497
Found probable prime factor of 32 digits: 61118541951991650560986150208497
Probable prime cofactor 2072872768775772779749421391724340294109371784790352169697871655346137633258293297633025608697665672627771602694152216282505343303055859 has 136 digits

GMP-ECM 6.3

1074146045393422199142104832727324650403618011777113479778167949396888403593159949011322136801285069978369849605921487162662395678876086348551254569522197235805371916017300644231873169232170844375532912244827669742503708224191<226>

5728494779069476947603659179320481195768965736414940742801820937157442794014846705929380772515057536373087488606426043380779576616824986515601380182642655660505912042389285495099840969557331607583<196>

1402069192029936433249958831371292524848892640526477218473970025660004158892660989296629325583275393914288198578850005101609567268978253601087096501100024938905438711904036311439542353300344619373294448520703<208>

743229943921777377524814649262583073<36>

1886454122975297967715106542738141772265759352156786528030381732227089956476156136786598064124227900216312762327136316264447671096076927201962059075547607370994594625345311<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2882974797
Step 1 took 26734ms
Step 2 took 10275ms
********** Factor found in step 2: 743229943921777377524814649262583073
Found probable prime factor of 36 digits: 743229943921777377524814649262583073

1886454122975297967715106542738141772265759352156786528030381732227089956476156136786598064124227900216312762327136316264447671096076927201962059075547607370994594625345311<172>

5192262444330344175386021170607718692263<40>
363320256478021209435583165981334108766623009634666138917659107138552149621455586556825289078860339774369784209523497944464246026697<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2795670655
Step 1 took 100460ms
Step 2 took 33242ms
********** Factor found in step 2: 5192262444330344175386021170607718692263
Found probable prime factor of 40 digits: 5192262444330344175386021170607718692263

316184604518193836489280542214313819059825954664407563636436946103245917473076164208058542595468620816634797598754167954169265339743184817821416433756923734888048576779856521144404721412167214368676278216391173828818867627065978727183327<237>

536894787580391535886013067700927116129640613582767042388644862064354662287952658357373664987974289816065695818860049388520898190528891033907677726059898827755364365835114459273374800665540395612969882425781<207>

103966038166029885059384164146552249454848808990558014775632425487379663726957689236864868411744641064458660036641741361901260495596259010896487932718638772751636919359424814261578716224617468843199673<201>

991972737447549691905314879257737364883087305104580046125407696735626870747193715151224860322980287214957160530867532346851574536702082846417199472670023137509517240215851117900628051531027702325140321730956078374978699920455759443<231>

104850545207852489767719449524329194645572485215726842971125640449824754150759783555121180716868464260945847420066164567977877863803842390494776252300021564059787924243399528081712881815309098863705448983336803141388997300213796497527026219968666143<249>

32550534080338317688317103432394950417412831<44>

3221162053718373694592561228701048621042952870429491612031071483426040736219245221014081370978865340418900123666688239591148038030618277962219692016210508510263556095524461935738288478266834911307676713153<205>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3543012927
Step 1 took 115203ms
Step 2 took 35806ms
********** Factor found in step 2: 32550534080338317688317103432394950417412831
Found probable prime factor of 44 digits: 32550534080338317688317103432394950417412831

1731882663361264208603575645925254212834511977805617523006403265208365033990569311469341975669962279049891207024408903465565000197015432091849071945963819583611731451591198232934954578553830779871933141070404971304998554800602370216723<235>

2733921038491550645525960106456978281335211005810680951974154971932507878456962883614700629684457325570924876554808615710810788399611162657616435013970150830500526492896246190779821258076713784291213710854654464131080856289650065660344794111<241>

33930485162443715044078083562873119905906979924266404624706985328483252166528413786096631787348400924574380674539182777197429031573739945157244066448916931603705279983071591345269237215687157069337581589686875626412848493599<224>

947806052035107678459432989991616742911<39>

35798975000833710798642941973260441291290600405519698796925787154774515787581905007995363781642450811644658854005531177501817979296216289400153945173886061138608831216226051552274813409<185>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2538279428
Step 1 took 122316ms
Step 2 took 38764ms
********** Factor found in step 2: 947806052035107678459432989991616742911
Found probable prime factor of 39 digits: 947806052035107678459432989991616742911

161190225341911751475130501873272424708803846776799859936195732696752085769749601669054176430890220587083213423764338796170298883098502591122360743973487184718874829426228176737299034318409575873013930024660407697719<216>

12301941188551804140994716100734156170198987837897100815692648916516887686755451217989863617296096108978408333702570328613681142178736389224691482205083949520059264989855308163969746764863142897535345004316934870454268363742680398190801239809749771<248>

1265240130005849604626891903276304303475211<43>

9723009013707878821770234881635329764054938861915321626256432132615601062804091760408742448094702701923682235096071463924745960660949923288386671958906868482451134685749496507101784807614334081206758152961<205>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1425228441
Step 1 took 438548ms
Step 2 took 93040ms
********** Factor found in step 2: 1265240130005849604626891903276304303475211
Found probable prime factor of 43 digits: 1265240130005849604626891903276304303475211

2982870404664827212230781493203740741364938372836570720780593294519505581317423169750926599759343924899537910516813640609263728128216559503453904980189291992143143547659759731644975042553355983959154503717457016630930778672026461992099630878486659853063<253>

850222690540706980257842146926692399836988946553605065690384189814046370078224926184237252428275372649504153616221294844156789976828101345747157784142475095551245262091720795326096272826723035445437517692104152334907612126160405016363443187193231440237<252>

21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<269>