876732937630277944740585728395570597138375932589254745365115895176143991540032575127305509549<93>

972260481475288614483276125526414523<36>
901746964249684318381601421570739401951139542005183630263<57>

Number: 98887_105
N=876732937630277944740585728395570597138375932589254745365115895176143991540032575127305509549
  ( 93 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=972260481475288614483276125526414523 (pp36)
 r2=901746964249684318381601421570739401951139542005183630263 (pp57)
Version: Msieve-1.40
Total time: 0.42 hours.
Scaled time: 1.04 units (timescale=2.447).
Factorization parameters were as follows:
name: 98887_105
n: 876732937630277944740585728395570597138375932589254745365115895176143991540032575127305509549
m: 100000000000000000000000000
deg: 4
c4: 890
c0: -17
skew: 0.37
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [210000, 290001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 39592 x 39824
Total sieving time: 0.40 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,106.000,4,0,0,0,0,0,0,0,0,420000,420000,25,25,44,44,2.2,2.2,20000
total time: 0.42 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

98888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<107>

10011809421374132428806195969953<32>
9877224458325363773665029812360951567190888760663351584160211937995724824279<76>

Number: 98887_106
N=98888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 107 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=10011809421374132428806195969953 (pp32)
 r2=9877224458325363773665029812360951567190888760663351584160211937995724824279 (pp76)
Version: Msieve v. 1.42
Total time: 0.02 hours.
Scaled time: 0.02 units (timescale=1.024).
Factorization parameters were as follows:
name: 98887_106
n: 98888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 1000000000000000000000
deg: 5
c5: 890
c0: -17
skew: 0.45
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [220000, 370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 43845 x 44071
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107.000,5,0,0,0,0,0,0,0,0,440000,440000,25,25,44,44,2.2,2.2,50000
total time: 0.02 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.22 BogoMIPS (lpj=2393613)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393877)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393889)
Total of 4 processors activated (19150.54 BogoMIPS).

Total time: 25 min.

644660080367293685435597219937935520639543713262532068954159752912524606719855979858205507<90>

176141493525888102164708154437981<33>
3659899024715297111814553074382509240919877606643764188447<58>

Sat Oct 23 23:34:59 2010  Msieve v. 1.42
Sat Oct 23 23:34:59 2010  random seeds: 3d76a380 4ee268c4
Sat Oct 23 23:34:59 2010  factoring 644660080367293685435597219937935520639543713262532068954159752912524606719855979858205507 (90 digits)
Sat Oct 23 23:35:00 2010  searching for 15-digit factors
Sat Oct 23 23:35:01 2010  commencing quadratic sieve (90-digit input)
Sat Oct 23 23:35:01 2010  using multiplier of 3
Sat Oct 23 23:35:01 2010  using 32kb Intel Core sieve core
Sat Oct 23 23:35:01 2010  sieve interval: 36 blocks of size 32768
Sat Oct 23 23:35:01 2010  processing polynomials in batches of 6
Sat Oct 23 23:35:01 2010  using a sieve bound of 1618739 (61025 primes)
Sat Oct 23 23:35:01 2010  using large prime bound of 135974076 (27 bits)
Sat Oct 23 23:35:01 2010  using double large prime bound of 436737990159996 (42-49 bits)
Sat Oct 23 23:35:01 2010  using trial factoring cutoff of 49 bits
Sat Oct 23 23:35:01 2010  polynomial 'A' values have 12 factors
Sun Oct 24 01:00:58 2010  61164 relations (16040 full + 45124 combined from 665799 partial), need 61121
Sun Oct 24 01:00:59 2010  begin with 681839 relations
Sun Oct 24 01:01:00 2010  reduce to 149854 relations in 9 passes
Sun Oct 24 01:01:00 2010  attempting to read 149854 relations
Sun Oct 24 01:01:02 2010  recovered 149854 relations
Sun Oct 24 01:01:02 2010  recovered 130441 polynomials
Sun Oct 24 01:01:02 2010  attempting to build 61164 cycles
Sun Oct 24 01:01:02 2010  found 61164 cycles in 5 passes
Sun Oct 24 01:01:02 2010  distribution of cycle lengths:
Sun Oct 24 01:01:02 2010     length 1 : 16040
Sun Oct 24 01:01:02 2010     length 2 : 11622
Sun Oct 24 01:01:03 2010     length 3 : 10795
Sun Oct 24 01:01:03 2010     length 4 : 8227
Sun Oct 24 01:01:03 2010     length 5 : 5897
Sun Oct 24 01:01:03 2010     length 6 : 3768
Sun Oct 24 01:01:03 2010     length 7 : 2223
Sun Oct 24 01:01:03 2010     length 9+: 2592
Sun Oct 24 01:01:03 2010  largest cycle: 18 relations
Sun Oct 24 01:01:03 2010  matrix is 61025 x 61164 (15.0 MB) with weight 3699435 (60.48/col)
Sun Oct 24 01:01:03 2010  sparse part has weight 3699435 (60.48/col)
Sun Oct 24 01:01:04 2010  filtering completed in 3 passes
Sun Oct 24 01:01:04 2010  matrix is 57090 x 57153 (14.2 MB) with weight 3491312 (61.09/col)
Sun Oct 24 01:01:04 2010  sparse part has weight 3491312 (61.09/col)
Sun Oct 24 01:01:04 2010  saving the first 48 matrix rows for later
Sun Oct 24 01:01:04 2010  matrix is 57042 x 57153 (9.2 MB) with weight 2772292 (48.51/col)
Sun Oct 24 01:01:04 2010  sparse part has weight 2063199 (36.10/col)
Sun Oct 24 01:01:04 2010  matrix includes 64 packed rows
Sun Oct 24 01:01:04 2010  using block size 22861 for processor cache size 1024 kB
Sun Oct 24 01:01:04 2010  commencing Lanczos iteration
Sun Oct 24 01:01:04 2010  memory use: 9.3 MB
Sun Oct 24 01:01:26 2010  lanczos halted after 904 iterations (dim = 57040)
Sun Oct 24 01:01:26 2010  recovered 16 nontrivial dependencies
Sun Oct 24 01:01:27 2010  prp33 factor: 176141493525888102164708154437981
Sun Oct 24 01:01:27 2010  prp58 factor: 3659899024715297111814553074382509240919877606643764188447
Sun Oct 24 01:01:27 2010  elapsed time 01:26:28

10791736343087971688304098034558049901716383225955556719608015034707557889480736811255320235075543973233583737993132333<119>

1228313137837124667161209971196407515275428379406977900679<58>
8785818543055398637090421946426396256595286138797665255066027<61>

Number: we1
N=10791736343087971688304098034558049901716383225955556719608015034707557889480736811255320235075543973233583737993132333
  ( 119 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=1228313137837124667161209971196407515275428379406977900679 (pp58)
 r2=8785818543055398637090421946426396256595286138797665255066027 (pp61)
Version: Msieve-1.40
Total time: 1.86 hours.
Scaled time: 3.43 units (timescale=1.839).
Factorization parameters were as follows:
n: 10791736343087971688304098034558049901716383225955556719608015034707557889480736811255320235075543973233583737993132333
m: 1000000000000000000000000
deg: 5
c5: 89000
c0: -17
skew: 0.18
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 875001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 114493 x 114728
Total sieving time: 1.81 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,850000,850000,25,25,46,46,2.2,2.2,50000
total time: 1.86 hours.
 --------- CPU info (if available) ----------

124568995763973145224822380492415155879818406213098320018663902596143645289411265926177087909609635570517<105>

12069915067697968369081215305272597549448175859579<50>
10320619081848397529934017781257761668370663917963603823<56>

Number: 98887_124
N=124568995763973145224822380492415155879818406213098320018663902596143645289411265926177087909609635570517
  ( 105 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=12069915067697968369081215305272597549448175859579 (pp50)
 r2=10320619081848397529934017781257761668370663917963603823 (pp56)
Version: Msieve v. 1.42
Total time: 0.09 hours.
Scaled time: 0.08 units (timescale=0.853).
Factorization parameters were as follows:
name: 98887_124
n: 124568995763973145224822380492415155879818406213098320018663902596143645289411265926177087909609635570517
m: 1000000000000000000000000
deg: 5
c5: 890000
c0: -17
skew: 0.11
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 138566 x 138792
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 0.09 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5826.46 BogoMIPS (lpj=2913232)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.00 BogoMIPS).

Total time: 90 min.

755789176886997295414421501368767407346774675420496527270501643163216947403914288858671940156303<96>

8407921351436155177404970304797<31>
89890133993451438991172259027128567299919583586206692457741926299<65>

Number: 98887_125
N=755789176886997295414421501368767407346774675420496527270501643163216947403914288858671940156303
  ( 96 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=8407921351436155177404970304797 (pp31)
 r2=89890133993451438991172259027128567299919583586206692457741926299 (pp65)
Version: Msieve-1.40
Total time: 1.65 hours.
Scaled time: 5.16 units (timescale=3.127).
Factorization parameters were as follows:
name: 98887_125
n: 755789176886997295414421501368767407346774675420496527270501643163216947403914288858671940156303
m: 10000000000000000000000000
deg: 5
c5: 89
c0: -17
skew: 0.72
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 705001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 125478 x 125726
Total sieving time: 1.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 1.65 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

966693566916535261308389675062654505433326949915553375385157195462748273876799641274328315449<93>

24504718221438859524736914857506627<35>
39449283120945566398182967562205429780903977632526147800787<59>

Number: 98887_127
N=966693566916535261308389675062654505433326949915553375385157195462748273876799641274328315449
  ( 93 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=24504718221438859524736914857506627 (pp35)
 r2=39449283120945566398182967562205429780903977632526147800787 (pp59)
Version: Msieve-1.40
Total time: 2.41 hours.
Scaled time: 6.97 units (timescale=2.888).
Factorization parameters were as follows:
name: 98887_127
n: 966693566916535261308389675062654505433326949915553375385157195462748273876799641274328315449
m: 10000000000000000000000000
deg: 5
c5: 8900
c0: -17
skew: 0.29
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 895001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 152929 x 153177
Total sieving time: 2.33 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 2.41 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

7274519537339321731910799798383562514524622190846473034811072284641614342149718404511498297327940686353<103>

332429171550761341620199514448044075776339<42>
21882915700220116129025996193340924857575555228325064001586827<62>

Number: we2
N=7274519537339321731910799798383562514524622190846473034811072284641614342149718404511498297327940686353
  ( 103 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=332429171550761341620199514448044075776339 (pp42)
 r2=21882915700220116129025996193340924857575555228325064001586827 (pp62)
Version: Msieve-1.40
Total time: 1.88 hours.
Scaled time: 3.64 units (timescale=1.939).
Factorization parameters were as follows:
n: 7274519537339321731910799798383562514524622190846473034811072284641614342149718404511498297327940686353
m: 100000000000000000000000000
deg: 5
c5: 89
c0: -17
skew: 0.72
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 905001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 174135 x 174371
Total sieving time: 1.74 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,50000
total time: 1.88 hours.
 --------- CPU info (if available) ----------

30326411606736081161890775774242491311721724287518528004933725235564077513928032452145407973341<95>

21863449779878675729817485939499746595827<41>
1387082638470257366250186330407713428953006715358931183<55>

Number: 98887_134
N=30326411606736081161890775774242491311721724287518528004933725235564077513928032452145407973341
  ( 95 digits)
Divisors found:
 r1=21863449779878675729817485939499746595827 (pp41)
 r2=1387082638470257366250186330407713428953006715358931183 (pp55)
Version: Msieve-1.40
Total time: 5.23 hours.
Scaled time: 10.42 units (timescale=1.994).
Factorization parameters were as follows:
name: 98887_134
n:  30326411606736081161890775774242491311721724287518528004933725235564077513928032452145407973341
m:  4814950520917769832666
deg: 4
c4: 56422680
c3: 352992244038
c2: 369973113517552525
c1: -1741113003365309260
c0: -234323238089825490670127
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.472
# E(F1,F2) = 4.357721e-05
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1287851356.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 172433 x 172681
Polynomial selection time: 0.17 hours.
Total sieving time: 4.87 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 5.23 hours.
 --------- CPU info (if available) ----------

4541439829896652875242617978075599922300256087233173245780000419380081501115018837096864959402219823<100>

5532992804592227975793715371496485918440615341<46>
820792650611688108970202751481249895750860846450361803<54>

Number: 98887_138
N=4541439829896652875242617978075599922300256087233173245780000419380081501115018837096864959402219823
  ( 100 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=5532992804592227975793715371496485918440615341 (pp46)
 r2=820792650611688108970202751481249895750860846450361803 (pp54)
Version: Msieve-1.40
Total time: 6.53 hours.
Scaled time: 20.21 units (timescale=3.097).
Factorization parameters were as follows:
name: 98887_138
n: 4541439829896652875242617978075599922300256087233173245780000419380081501115018837096864959402219823
m: 1000000000000000000000000000
deg: 5
c5: 89000
c0: -17
skew: 0.18
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1805001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 268588 x 268836
Total sieving time: 6.30 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 6.53 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

1319233982712073096814500713259652874825309726858704454348393096350341093675316873820130972884780550196922137034208853<118>

98866718344261653829213128875999<32>
13343559944190694005420201731281170827826547856630502146295519424475033441598098563147<86>

Number: we3
N=1319233982712073096814500713259652874825309726858704454348393096350341093675316873820130972884780550196922137034208853
  ( 118 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=98866718344261653829213128875999 (pp32)
 r2=13343559944190694005420201731281170827826547856630502146295519424475033441598098563147 (pp86)
Version: Msieve-1.40
Total time: 3.85 hours.
Scaled time: 7.36 units (timescale=1.911).
Factorization parameters were as follows:
n: 1319233982712073096814500713259652874825309726858704454348393096350341093675316873820130972884780550196922137034208853
m: 10000000000000000000000000000
deg: 5
c5: 89
c0: -17
skew: 0.72
type: snfs
lss: 1
rlim: 1630000
alim: 1630000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1630000/1630000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [815000, 1515001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 260071 x 260319
Total sieving time: 3.69 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1630000,1630000,26,26,48,48,2.3,2.3,100000
total time: 3.85 hours.
 --------- CPU info (if available) ----------

14177325132133935138960125242933094261547293109540422342160952808213067390365970779300782882456477571796124758471073205482036201<128>

2902063988786705754615060961549350950189935104919<49>
4885255868552087981873678729840799994667899302816952679172455841843050043620479<79>

Number: we4
N=14177325132133935138960125242933094261547293109540422342160952808213067390365970779300782882456477571796124758471073205482036201
  ( 128 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=2902063988786705754615060961549350950189935104919 (pp49)
 r2=4885255868552087981873678729840799994667899302816952679172455841843050043620479 (pp79)
Version: Msieve-1.40
Total time: 6.32 hours.
Scaled time: 12.04 units (timescale=1.905).
Factorization parameters were as follows:
n: 14177325132133935138960125242933094261547293109540422342160952808213067390365970779300782882456477571796124758471073205482036201
m: 10000000000000000000000000000
deg: 5
c5: 8900
c0: -17
skew: 0.29
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 2075001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 307175 x 307400
Total sieving time: 6.14 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 6.32 hours.
 --------- CPU info (if available) ----------

376942692392143604118019055259706665208645055539402826301551189891958297448524429648979630387669025204351489951<111>

15432558634918245092426014409507322603973923421039<50>
24425158608453942913046521262292085993595551992422429155315409<62>

Number: we5
N=376942692392143604118019055259706665208645055539402826301551189891958297448524429648979630387669025204351489951
  ( 111 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=15432558634918245092426014409507322603973923421039 (pp50)
 r2=24425158608453942913046521262292085993595551992422429155315409 (pp62)
Version: Msieve-1.40
Total time: 10.11 hours.
Scaled time: 19.04 units (timescale=1.883).
Factorization parameters were as follows:
n: 376942692392143604118019055259706665208645055539402826301551189891958297448524429648979630387669025204351489951
m: 10000000000000000000000000000
deg: 5
c5: 890000
c0: -17
skew: 0.11
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2945001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 373664 x 373889
Total sieving time: 9.85 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 10.11 hours.
 --------- CPU info (if available) ----------

115911305602788271001688662230017939844397353149933321121797922970853304724061344881805837304784341902618495171<111>

2402271417662818627104023759361083392760404421719<49>
48250711701660645665003097785828805467765807736683128693736309<62>

Number: we6
N=115911305602788271001688662230017939844397353149933321121797922970853304724061344881805837304784341902618495171
  ( 111 digits)
Divisors found:
 r1=2402271417662818627104023759361083392760404421719 (pp49)
 r2=48250711701660645665003097785828805467765807736683128693736309 (pp62)
Version: Msieve-1.40
Total time: 13.42 hours.
Scaled time: 25.56 units (timescale=1.905).
Factorization parameters were as follows:
name: we6
n: 115911305602788271001688662230017939844397353149933321121797922970853304724061344881805837304784341902618495171
skew: 25999.67
# norm 1.00e+015
c5: 29640
c4: -987690654
c3: -67900750011556
c2: 439719125235472715
c1: 15330449494980740239632
c0: -127687557585065474202176745
# alpha -5.77
Y1: 971287534853
Y0: -1313565277864851607856
# Murphy_E 1.01e-009
# M 52332899908559758129279547414313827161584330957498435397076476375857540673680654246681796869471435395362780648
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 355256 x 355480
Total sieving time: 13.03 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 13.42 hours.
 --------- CPU info (if available) ----------

467943105450915499373324554365130701758248426047582381149705895376131373948364823700202407545495872078713463741273843091976346195288823823<138>

27722064544421290403254571413563161839260918415805348553274803912899<68>
16879807227239251267926832990586069885182745854246842032397033581729477<71>

Number: we7
N=467943105450915499373324554365130701758248426047582381149705895376131373948364823700202407545495872078713463741273843091976346195288823823
  ( 138 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=27722064544421290403254571413563161839260918415805348553274803912899 (pp68)
 r2=16879807227239251267926832990586069885182745854246842032397033581729477 (pp71)
Version: Msieve-1.40
Total time: 14.83 hours.
Scaled time: 27.50 units (timescale=1.855).
Factorization parameters were as follows:
n: 467943105450915499373324554365130701758248426047582381149705895376131373948364823700202407545495872078713463741273843091976346195288823823
m: 1000000000000000000000000000000
deg: 5
c5: 8900
c0: -17
skew: 0.29
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 527712 x 527938
Total sieving time: 14.36 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 14.83 hours.
 --------- CPU info (if available) ----------

29812047703042083810019745324731682192513241672581672270335190841462658386330183094602016864459059072440726578416263525471<122>

20043363490673557126544273015582478146625016329818519272439<59>
1487377491153818819507501196562878243200420890338900273572585689<64>

Number: we8
N=29812047703042083810019745324731682192513241672581672270335190841462658386330183094602016864459059072440726578416263525471
  ( 122 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=20043363490673557126544273015582478146625016329818519272439 (pp59)
 r2=1487377491153818819507501196562878243200420890338900273572585689 (pp64)
Version: Msieve-1.40
Total time: 19.34 hours.
Scaled time: 37.85 units (timescale=1.957).
Factorization parameters were as follows:
n: 29812047703042083810019745324731682192513241672581672270335190841462658386330183094602016864459059072440726578416263525471
m: 1000000000000000000000000000000
deg: 5
c5: 89000
c0: -17
skew: 0.18
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 538099 x 538326
Total sieving time: 18.86 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 19.34 hours.
 --------- CPU info (if available) ----------

12465509755311847836743840777623709679678417860694426936706024062635684972757959017885905570262055828676274913511772203313864728209868761992800817961539<152>

78617635634474672926219829211424476983338411<44>
158558695573968503667683653168045225918671686282526011203562142335455567679121624358825026655218956289365449<108>

Number: we9
N=12465509755311847836743840777623709679678417860694426936706024062635684972757959017885905570262055828676274913511772203313864728209868761992800817961539
  ( 152 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=78617635634474672926219829211424476983338411 (pp44)
 r2=158558695573968503667683653168045225918671686282526011203562142335455567679121624358825026655218956289365449 (pp108)
Version: Msieve-1.40
Total time: 23.74 hours.
Scaled time: 44.70 units (timescale=1.883).
Factorization parameters were as follows:
n: 12465509755311847836743840777623709679678417860694426936706024062635684972757959017885905570262055828676274913511772203313864728209868761992800817961539
m: 1000000000000000000000000000000
deg: 5
c5: 890000
c0: -17
skew: 0.11
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 608134 x 608360
Total sieving time: 23.12 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 23.74 hours.
 --------- CPU info (if available) ----------

3005026404822439099761367328728891023215664496963858219098679473038637696669210630512814675149473837683277<106>

68363539464898656373310405371937721214240759<44>
43956565566143245294484391417911808545729859989069001825079003<62>

Number: 98887_155
N=3005026404822439099761367328728891023215664496963858219098679473038637696669210630512814675149473837683277
  ( 106 digits)
Divisors found:
 r1=68363539464898656373310405371937721214240759 (pp44)
 r2=43956565566143245294484391417911808545729859989069001825079003 (pp62)
Version: Msieve v. 1.42
Total time: 1.16 hours.
Scaled time: 1.19 units (timescale=1.024).
Factorization parameters were as follows:
name: 98887_155
n: 3005026404822439099761367328728891023215664496963858219098679473038637696669210630512814675149473837683277
skew: 29188.96
# norm 1.56e+14
c5: 1320
c4: -237137526
c3: 370364561177
c2: 225871877181566879
c1: 1457621686850369822103
c0: -68940390754087003596753
# alpha -5.53
Y1: 60785544373
Y0: -296113409930986261186
# Murphy_E 1.92e-09
# M 2080783191023059514370078183132027155995086192057859610939308096602270878899604151382499978290677360728183
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 300059 x 300285
Polynomial selection time: 0.88 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 1.16 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.22 BogoMIPS (lpj=2393613)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393877)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393889)
Total of 4 processors activated (19150.54 BogoMIPS).

Total time: 6 hours.

28569126532661413157398874119613475768084176844819245704439224961327353718849620784970456634152432661124256119330352514131285087461652367658336358771733<152>

2832671767132705160763235796182621576828230091206259764473789081731388282147<76>
10085576050196501699474066408313374889155297399319700250853715647899727944039<77>

Number: 98887_156
N=28569126532661413157398874119613475768084176844819245704439224961327353718849620784970456634152432661124256119330352514131285087461652367658336358771733
  ( 152 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=2832671767132705160763235796182621576828230091206259764473789081731388282147 (pp76)
 r2=10085576050196501699474066408313374889155297399319700250853715647899727944039 (pp77)
Version: Msieve v. 1.42
Total time: 1.11 hours.
Scaled time: 0.94 units (timescale=0.850).
Factorization parameters were as follows:
name: 98887_156
n: 28569126532661413157398874119613475768084176844819245704439224961327353718849620784970456634152432661124256119330352514131285087461652367658336358771733
m: 10000000000000000000000000000000
deg: 5
c5: 890
c0: -17
skew: 0.45
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 549809 x 550036
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.96 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 1.11 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5826.46 BogoMIPS (lpj=2913232)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.00 BogoMIPS).

Total time: 15 hours.

361363652535751364103299001514797677084732503026442933578866767141614062676999146218961668516410237721294298447150770218134597816787546557<138>

78326226259730554833786032278796309<35>
973144063591318089504048954869616888040291<42>
4740892707043398632361455933842920364199500187921686858295203<61>

Number: we10
N=361363652535751364103299001514797677084732503026442933578866767141614062676999146218961668516410237721294298447150770218134597816787546557
  ( 138 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=78326226259730554833786032278796309 (pp35)
 r2=973144063591318089504048954869616888040291 (pp42)
 r3=4740892707043398632361455933842920364199500187921686858295203 (pp61)
Version: Msieve-1.40
Total time: 28.20 hours.
Scaled time: 53.42 units (timescale=1.894).
Factorization parameters were as follows:
n: 361363652535751364103299001514797677084732503026442933578866767141614062676999146218961668516410237721294298447150770218134597816787546557
m: 10000000000000000000000000000000
deg: 5
c5: 89000
c0: -17
skew: 0.18
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 648445 x 648670
Total sieving time: 27.44 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 28.20 hours.
 --------- CPU info (if available) ----------

807688470939258194048001255818573825633019366020058112962779865280439325803412878771161018428393061808955468729210097340031094262068573293205233080429<150>

97713009204324086331578214132680807303066199892222282065095665400794381<71>
8265925668611131237646075405465471130946854607711923931305670479099073362551009<79>

Number: 98887_159
N=807688470939258194048001255818573825633019366020058112962779865280439325803412878771161018428393061808955468729210097340031094262068573293205233080429
  ( 150 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=97713009204324086331578214132680807303066199892222282065095665400794381 (pp71)
 r2=8265925668611131237646075405465471130946854607711923931305670479099073362551009 (pp79)
Version: Msieve v. 1.42
Total time: 1.32 hours.
Scaled time: 1.36 units (timescale=1.023).
Factorization parameters were as follows:
name: 98887_159
n: 807688470939258194048001255818573825633019366020058112962779865280439325803412878771161018428393061808955468729210097340031094262068573293205233080429
m: 10000000000000000000000000000000
deg: 5
c5: 890000
c0: -17
skew: 0.11
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 704000 x 704227
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.12 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 1.32 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.22 BogoMIPS (lpj=2393613)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393877)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393889)
Total of 4 processors activated (19150.54 BogoMIPS).

Total time: 26 hours 30 min.

293990772708061534087056578199934142653165877958030715637574845309722795050159367992689505075439367951836806510838288972083938739804833774870833<144>

280634823483295849419577992225956240809<39>
1047591916993725004392951659192152698379679997537341285579522107295128808489417367626238236409855279320137<106>

Number: 98887_160
N=293990772708061534087056578199934142653165877958030715637574845309722795050159367992689505075439367951836806510838288972083938739804833774870833
  ( 144 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=280634823483295849419577992225956240809 (pp39)
 r2=1047591916993725004392951659192152698379679997537341285579522107295128808489417367626238236409855279320137 (pp106)
Version: Msieve v. 1.42
Total time: 1.55 hours.
Scaled time: 1.33 units (timescale=0.854).
Factorization parameters were as follows:
name: 98887_160
n: 293990772708061534087056578199934142653165877958030715637574845309722795050159367992689505075439367951836806510838288972083938739804833774870833
m: 100000000000000000000000000000000
deg: 5
c5: 89
c0: -17
skew: 0.72
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 651189 x 651416
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.39 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 1.55 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5826.46 BogoMIPS (lpj=2913232)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.00 BogoMIPS).

Total time: 15 hours.

9831876891172671594891291423765350562142820938680774505706103864694284975293543702959818161338930951134172512079143654282530317533133449904312569343<148>

10378864722596542000024872653305393313874001309720035464550451813365987781<74>
947297913014225391812790366911118076134535481841834066029532236818958326003<75>

Number: 98887_161
N=9831876891172671594891291423765350562142820938680774505706103864694284975293543702959818161338930951134172512079143654282530317533133449904312569343
  ( 148 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=10378864722596542000024872653305393313874001309720035464550451813365987781 (pp74)
 r2=947297913014225391812790366911118076134535481841834066029532236818958326003 (pp75)
Version: Msieve v. 1.42
Total time: 1.84 hours.
Scaled time: 1.56 units (timescale=0.852).
Factorization parameters were as follows:
name: 98887_161
n: 9831876891172671594891291423765350562142820938680774505706103864694284975293543702959818161338930951134172512079143654282530317533133449904312569343
m: 100000000000000000000000000000000
deg: 5
c5: 890
c0: -17
skew: 0.45
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 705232 x 705458
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.66 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 1.84 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5826.46 BogoMIPS (lpj=2913232)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.00 BogoMIPS).

Total time: 21 hours.

429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169<162>

4185970554206969329300728535268818909749522292624375599963048367<64>
102712545454756606012140960515722492528111770984550240841924434561013287242558240323424528584989807<99>

Number: we11
N=429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169
  ( 162 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=4185970554206969329300728535268818909749522292624375599963048367 (pp64)
 r2=102712545454756606012140960515722492528111770984550240841924434561013287242558240323424528584989807 (pp99)
Version: Msieve-1.40
Total time: 34.71 hours.
Scaled time: 66.92 units (timescale=1.928).
Factorization parameters were as follows:
n: 429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169
m: 100000000000000000000000000000000
deg: 5
c5: 8900
c0: -17
skew: 0.29
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 718564 x 718790
Total sieving time: 33.63 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 34.71 hours.
 --------- CPU info (if available) ----------

486957183039845642688389293410183021252955274942930169846362024108247367282776016188077393233134176682154505979468185087994706258468639<135>

5733704701011401404054651527985659956080546482141300760227233927<64>
84928891254889433498099283841428581639936913635905414315097708614732457<71>

Number: 98887_163
N=486957183039845642688389293410183021252955274942930169846362024108247367282776016188077393233134176682154505979468185087994706258468639
  ( 135 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=5733704701011401404054651527985659956080546482141300760227233927 (pp64)
 r2=84928891254889433498099283841428581639936913635905414315097708614732457 (pp71)
Version: Msieve-1.40
Total time: 51.78 hours.
Scaled time: 102.47 units (timescale=1.979).
Factorization parameters were as follows:
name: 98887_163
n: 486957183039845642688389293410183021252955274942930169846362024108247367282776016188077393233134176682154505979468185087994706258468639
m: 100000000000000000000000000000000
deg: 5
c5: 89000
c0: -17
skew: 0.18
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 770416 x 770664
Total sieving time: 49.94 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.54 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 51.78 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

118352248910371103993851015024944197243764396039262946869765471605085956298859487742096740976396114581254235885998401568303150486559639289132823459105538189883<159>

854344046875502222918819151078101651285951841026706200984511913987651871560387<78>
138529962657558935860246117868355596367594720596521901668712686445553810973287209<81>

Number: 10
N=118352248910371103993851015024944197243764396039262946869765471605085956298859487742096740976396114581254235885998401568303150486559639289132823459105538189883
  ( 159 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=854344046875502222918819151078101651285951841026706200984511913987651871560387 (pp78)
 r2=138529962657558935860246117868355596367594720596521901668712686445553810973287209 (pp81)
Version: Msieve-1.40
Total time: 52.45 hours.
Scaled time: 91.22 units (timescale=1.739).
Factorization parameters were as follows:
n: 118352248910371103993851015024944197243764396039262946869765471605085956298859487742096740976396114581254235885998401568303150486559639289132823459105538189883
m: 1000000000000000000000000000000000
deg: 5
c5: 890
c0: -17
skew: 0.45
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 5100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 863277 x 863503
Total sieving time: 51.23 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 52.45 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

31754962994267457694566629276528475910287164992456834341201409641449483475569185056926871107946359888725856539830181712302789<125>

1877218803380947486105827551257<31>
16915962559652330673147840815500833389469232929046247176804223130236887571115838480910654408077<95>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=2671997876
Step 1 took 2767ms
Step 2 took 1763ms
********** Factor found in step 2: 1877218803380947486105827551257
Found probable prime factor of 31 digits: 1877218803380947486105827551257
Probable prime cofactor has 95 digits

1151616247774052366069927250240229493488317781392433639497155146027834194337977221453836499311908234325887081616387<115>

14668450770509032692659194615718248570343<41>
78509739425882692723520552891761346107501029626063305504097758045878943109<74>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3166787474
Step 1 took 5023ms
Step 2 took 4135ms
********** Factor found in step 2: 14668450770509032692659194615718248570343
Found probable prime factor of 41 digits: 14668450770509032692659194615718248570343
Probable prime cofactor 78509739425882692723520552891761346107501029626063305504097758045878943109 has 74 digits

GMP-ECM 6.3

628605803106844101730450198238260737093973674839624478881021375407174223151680266314924018338820504835885896111709170863930799319474669217183703216442308853<156>

2195155877258085783946890974834350396884699758659<49>
286360440103242173109253063248129885317896679081127676830404983378378615080380324116391696580036127930059367<108>

Number: 98887_171
N=628605803106844101730450198238260737093973674839624478881021375407174223151680266314924018338820504835885896111709170863930799319474669217183703216442308853
  ( 156 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=2195155877258085783946890974834350396884699758659 (pp49)
 r2=286360440103242173109253063248129885317896679081127676830404983378378615080380324116391696580036127930059367 (pp108)
Version: Msieve v. 1.42
Total time: 4.63 hours.
Scaled time: 3.68 units (timescale=0.796).
Factorization parameters were as follows:
name: 98887_171
n: 628605803106844101730450198238260737093973674839624478881021375407174223151680266314924018338820504835885896111709170863930799319474669217183703216442308853
m: 10000000000000000000000000000000000
deg: 5
c5: 890
c0: -17
skew: 0.45
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1077237 x 1077466
Total sieving time: 0.00 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.72 hours.
Time per square root: 0.79 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 4.63 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.29 BogoMIPS (lpj=1860648)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860574)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 3.5 days.

5277072291548413120237787909573471885682811804280851006872081913835068671048229041282965606944962146190706886610773659225827691829473818936993630551<148>

1196956415272376315522071559879430942491706885952012753151<58>
4408742226714726414193333214422059877771167427541643604887531358921413684520647135893567401<91>

N = 5277072291548413120237787909573471885682811804280851006872081913835068671048229041282965606944962146190706886610773659225827691829473818936993630551 (148 digits)
SNFS difficulty: 174 digits.
Divisors found:
r1=1196956415272376315522071559879430942491706885952012753151 (pp58)
r2=4408742226714726414193333214422059877771167427541643604887531358921413684520647135893567401 (pp91)
Version: Msieve v. 1.47
Total time: 31.58 hours.
Factorization parameters were as follows:
name: (89*10^172-17)/9
n: 5277072291548413120237787909573471885682811804280851006872081913835068671048229041282965606944962146190706886610773659225827691829473818936993630551
Y0: 10000000000000000000000000000000000
Y1: -1
c0: -17
c1: 0
c2: 0
c3: 0
c4: 0
c5: 8900
skew: 0.29
type: snfs
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 12248603
Relations: 1703226 relations
Pruned matrix : 1061774 x 1062001
Polynomial selection time: 0.00 hours.
Total sieving time: 29.15 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.27 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,53,53,2.5,2.5,100000
total time: 31.58 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

3052048206377112568252039160639857657799044983533492064020876991424071229583640274559546310873889487540685514316519836315614082499507568727540076176323333489137<160>

56340478447864206165208064105515007<35>

54171499611977677891813054573512147595162401832241931736474557315228246042366025006907340093316683300960306581105709939160591<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1983138068
Step 1 took 15843ms
Step 2 took 6270ms
********** Factor found in step 2: 56340478447864206165208064105515007
Found probable prime factor of 35 digits: 56340478447864206165208064105515007
Composite cofactor 54171499611977677891813054573512147595162401832241931736474557315228246042366025006907340093316683300960306581105709939160591 has 125 digits

GMP-ECM 6.2.3

54171499611977677891813054573512147595162401832241931736474557315228246042366025006907340093316683300960306581105709939160591<125>

3006079176317670145532905071572826784217398231<46>
18020649635162189586856573575932648107594308506589037791859546499307499724263561<80>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2858658845
Step 1 took 11437ms
Step 2 took 5076ms
********** Factor found in step 2: 3006079176317670145532905071572826784217398231
Found probable prime factor of 46 digits: 3006079176317670145532905071572826784217398231
Probable prime cofactor 18020649635162189586856573575932648107594308506589037791859546499307499724263561 has 80 digits

GMP-ECM 6.2.3

6327207167841334005041021025828391908946626147231963810763698383968017261644881772472819793170422535942215735484123092843795750728711203280746492717096626342380094998679<169>

6047012934192411009841594872820105721963867612841502736752307901371<67>
1046335973925999782500933331961061345294456244334641897217746358051798513759993213872141487035016526549<103>

Oversieving - 50,000,000 rels gives lanczos error: only trivial dependencies found
With 30,000,000 rels, soln on dependency 3

Mon Oct 25 07:46:48 2010  
Mon Oct 25 07:46:48 2010  
Mon Oct 25 07:46:48 2010  Msieve v. 1.44
Mon Oct 25 07:46:48 2010  random seeds: 1741c075 dfe415af
Mon Oct 25 07:46:48 2010  factoring 6327207167841334005041021025828391908946626147231963810763698383968017261644881772472819793170422535942215735484123092843795750728711203280746492717096626342380094998679 (169 digits)
Mon Oct 25 07:46:50 2010  no P-1/P+1/ECM available, skipping
Mon Oct 25 07:46:50 2010  commencing number field sieve (169-digit input)
Mon Oct 25 07:46:50 2010  R0: -100000000000000000000000000000000000
Mon Oct 25 07:46:50 2010  R1:  1
Mon Oct 25 07:46:50 2010  A0: -17
Mon Oct 25 07:46:50 2010  A1:  0
Mon Oct 25 07:46:50 2010  A2:  0
Mon Oct 25 07:46:50 2010  A3:  0
Mon Oct 25 07:46:50 2010  A4:  0
Mon Oct 25 07:46:50 2010  A5:  89
Mon Oct 25 07:46:50 2010  skew 1.00, size 2.460409e-12, alpha 0.711958, combined = 1.434935e-10
Mon Oct 25 07:46:50 2010  
Mon Oct 25 07:46:50 2010  commencing relation filtering
Mon Oct 25 07:46:50 2010  estimated available RAM is 7923.9 MB
Mon Oct 25 07:46:50 2010  commencing duplicate removal, pass 1
Mon Oct 25 07:52:03 2010  found 6912818 hash collisions in 50000000 relations
Mon Oct 25 07:52:41 2010  added 731825 free relations
Mon Oct 25 07:52:41 2010  commencing duplicate removal, pass 2
Mon Oct 25 07:53:03 2010  found 5890434 duplicates and 44841391 unique relations
Mon Oct 25 07:53:03 2010  memory use: 213.2 MB
Mon Oct 25 07:53:03 2010  reading ideals above 31260672
Mon Oct 25 07:53:03 2010  commencing singleton removal, initial pass
Mon Oct 25 07:58:21 2010  memory use: 689.0 MB
Mon Oct 25 07:58:21 2010  reading all ideals from disk
Mon Oct 25 07:58:22 2010  memory use: 660.3 MB
Mon Oct 25 07:58:26 2010  commencing in-memory singleton removal
Mon Oct 25 07:58:30 2010  begin with 44841391 relations and 23327626 unique ideals
Mon Oct 25 07:58:56 2010  reduce to 39331224 relations and 17502583 ideals in 7 passes
Mon Oct 25 07:58:56 2010  max relations containing the same ideal: 79
Mon Oct 25 07:59:00 2010  reading ideals above 720000
Mon Oct 25 07:59:01 2010  commencing singleton removal, initial pass
Mon Oct 25 08:04:42 2010  memory use: 689.0 MB
Mon Oct 25 08:04:42 2010  reading all ideals from disk
Mon Oct 25 08:04:43 2010  memory use: 1203.3 MB
Mon Oct 25 08:04:51 2010  keeping 21148657 ideals with weight <= 200, target excess is 213690
Mon Oct 25 08:04:59 2010  commencing in-memory singleton removal
Mon Oct 25 08:05:06 2010  begin with 39331231 relations and 21148657 unique ideals
Mon Oct 25 08:05:43 2010  reduce to 39330480 relations and 21147885 ideals in 5 passes
Mon Oct 25 08:05:43 2010  max relations containing the same ideal: 200
Mon Oct 25 08:06:09 2010  removing 1504070 relations and 1104070 ideals in 400000 cliques
Mon Oct 25 08:06:10 2010  commencing in-memory singleton removal
Mon Oct 25 08:06:17 2010  begin with 37826410 relations and 21147885 unique ideals
Mon Oct 25 08:07:00 2010  reduce to 37789494 relations and 20006390 ideals in 6 passes
Mon Oct 25 08:07:00 2010  max relations containing the same ideal: 199
Mon Oct 25 08:07:24 2010  removing 1176953 relations and 776953 ideals in 400000 cliques
Mon Oct 25 08:07:26 2010  commencing in-memory singleton removal
Mon Oct 25 08:07:32 2010  begin with 36612541 relations and 20006390 unique ideals
Mon Oct 25 08:08:07 2010  reduce to 36592941 relations and 19209621 ideals in 5 passes
Mon Oct 25 08:08:07 2010  max relations containing the same ideal: 199
Mon Oct 25 08:08:31 2010  removing 1082719 relations and 682719 ideals in 400000 cliques
Mon Oct 25 08:08:32 2010  commencing in-memory singleton removal
Mon Oct 25 08:08:38 2010  begin with 35510222 relations and 19209621 unique ideals
Mon Oct 25 08:09:05 2010  reduce to 35498554 relations and 18515130 ideals in 4 passes
Mon Oct 25 08:09:05 2010  max relations containing the same ideal: 194
Mon Oct 25 08:09:28 2010  removing 996446 relations and 596446 ideals in 400000 cliques
Mon Oct 25 08:09:29 2010  commencing in-memory singleton removal
Mon Oct 25 08:09:35 2010  begin with 34502108 relations and 18515130 unique ideals
Mon Oct 25 08:10:01 2010  reduce to 34484470 relations and 17900806 ideals in 4 passes
Mon Oct 25 08:10:01 2010  max relations containing the same ideal: 193
Mon Oct 25 08:10:23 2010  removing 917183 relations and 517183 ideals in 400000 cliques
Mon Oct 25 08:10:24 2010  commencing in-memory singleton removal
Mon Oct 25 08:10:30 2010  begin with 33567287 relations and 17900806 unique ideals
Mon Oct 25 08:10:56 2010  reduce to 33548166 relations and 17364220 ideals in 4 passes
Mon Oct 25 08:10:56 2010  max relations containing the same ideal: 190
Mon Oct 25 08:11:17 2010  removing 893925 relations and 493925 ideals in 400000 cliques
Mon Oct 25 08:11:18 2010  commencing in-memory singleton removal
Mon Oct 25 08:11:24 2010  begin with 32654241 relations and 17364220 unique ideals
Mon Oct 25 08:11:49 2010  reduce to 32637373 relations and 16853154 ideals in 4 passes
Mon Oct 25 08:11:49 2010  max relations containing the same ideal: 186
Mon Oct 25 08:12:09 2010  removing 877575 relations and 477575 ideals in 400000 cliques
Mon Oct 25 08:12:10 2010  commencing in-memory singleton removal
Mon Oct 25 08:12:16 2010  begin with 31759798 relations and 16853154 unique ideals
Mon Oct 25 08:12:40 2010  reduce to 31743608 relations and 16359150 ideals in 4 passes
Mon Oct 25 08:12:40 2010  max relations containing the same ideal: 184
Mon Oct 25 08:13:00 2010  removing 865158 relations and 465158 ideals in 400000 cliques
Mon Oct 25 08:13:01 2010  commencing in-memory singleton removal
Mon Oct 25 08:13:06 2010  begin with 30878450 relations and 16359150 unique ideals
Mon Oct 25 08:13:30 2010  reduce to 30863335 relations and 15878640 ideals in 4 passes
Mon Oct 25 08:13:30 2010  max relations containing the same ideal: 180
Mon Oct 25 08:13:49 2010  removing 853878 relations and 453878 ideals in 400000 cliques
Mon Oct 25 08:13:50 2010  commencing in-memory singleton removal
Mon Oct 25 08:13:55 2010  begin with 30009457 relations and 15878640 unique ideals
Mon Oct 25 08:14:18 2010  reduce to 29994513 relations and 15409520 ideals in 4 passes
Mon Oct 25 08:14:18 2010  max relations containing the same ideal: 177
Mon Oct 25 08:14:37 2010  removing 844360 relations and 444360 ideals in 400000 cliques
Mon Oct 25 08:14:38 2010  commencing in-memory singleton removal
Mon Oct 25 08:14:43 2010  begin with 29150153 relations and 15409520 unique ideals
Mon Oct 25 08:15:05 2010  reduce to 29134052 relations and 14948719 ideals in 4 passes
Mon Oct 25 08:15:05 2010  max relations containing the same ideal: 174
Mon Oct 25 08:15:23 2010  removing 835320 relations and 435320 ideals in 400000 cliques
Mon Oct 25 08:15:24 2010  commencing in-memory singleton removal
Mon Oct 25 08:15:29 2010  begin with 28298732 relations and 14948719 unique ideals
Mon Oct 25 08:15:51 2010  reduce to 28281989 relations and 14496248 ideals in 4 passes
Mon Oct 25 08:15:51 2010  max relations containing the same ideal: 171
Mon Oct 25 08:16:08 2010  removing 826557 relations and 426557 ideals in 400000 cliques
Mon Oct 25 08:16:09 2010  commencing in-memory singleton removal
Mon Oct 25 08:16:14 2010  begin with 27455432 relations and 14496248 unique ideals
Mon Oct 25 08:16:34 2010  reduce to 27437229 relations and 14050962 ideals in 4 passes
Mon Oct 25 08:16:34 2010  max relations containing the same ideal: 169
Mon Oct 25 08:16:51 2010  removing 817914 relations and 417914 ideals in 400000 cliques
Mon Oct 25 08:16:52 2010  commencing in-memory singleton removal
Mon Oct 25 08:16:57 2010  begin with 26619315 relations and 14050962 unique ideals
Mon Oct 25 08:17:17 2010  reduce to 26600446 relations and 13613505 ideals in 4 passes
Mon Oct 25 08:17:17 2010  max relations containing the same ideal: 165
Mon Oct 25 08:17:33 2010  removing 809802 relations and 409802 ideals in 400000 cliques
Mon Oct 25 08:17:34 2010  commencing in-memory singleton removal
Mon Oct 25 08:17:38 2010  begin with 25790644 relations and 13613505 unique ideals
Mon Oct 25 08:17:53 2010  reduce to 25776380 relations and 13188881 ideals in 3 passes
Mon Oct 25 08:17:53 2010  max relations containing the same ideal: 162
Mon Oct 25 08:18:09 2010  removing 807524 relations and 407524 ideals in 400000 cliques
Mon Oct 25 08:18:10 2010  commencing in-memory singleton removal
Mon Oct 25 08:18:14 2010  begin with 24968856 relations and 13188881 unique ideals
Mon Oct 25 08:18:28 2010  reduce to 24955978 relations and 12767954 ideals in 3 passes
Mon Oct 25 08:18:28 2010  max relations containing the same ideal: 157
Mon Oct 25 08:18:43 2010  removing 806157 relations and 406157 ideals in 400000 cliques
Mon Oct 25 08:18:44 2010  commencing in-memory singleton removal
Mon Oct 25 08:18:48 2010  begin with 24149821 relations and 12767954 unique ideals
Mon Oct 25 08:19:01 2010  reduce to 24139465 relations and 12351088 ideals in 3 passes
Mon Oct 25 08:19:01 2010  max relations containing the same ideal: 152
Mon Oct 25 08:19:16 2010  removing 805113 relations and 405113 ideals in 400000 cliques
Mon Oct 25 08:19:17 2010  commencing in-memory singleton removal
Mon Oct 25 08:19:21 2010  begin with 23334352 relations and 12351088 unique ideals
Mon Oct 25 08:19:34 2010  reduce to 23327000 relations and 11938457 ideals in 3 passes
Mon Oct 25 08:19:34 2010  max relations containing the same ideal: 149
Mon Oct 25 08:19:48 2010  removing 804113 relations and 404113 ideals in 400000 cliques
Mon Oct 25 08:19:48 2010  commencing in-memory singleton removal
Mon Oct 25 08:19:52 2010  begin with 22522887 relations and 11938457 unique ideals
Mon Oct 25 08:20:05 2010  reduce to 22517772 relations and 11529131 ideals in 3 passes
Mon Oct 25 08:20:05 2010  max relations containing the same ideal: 148
Mon Oct 25 08:20:18 2010  removing 803024 relations and 403024 ideals in 400000 cliques
Mon Oct 25 08:20:19 2010  commencing in-memory singleton removal
Mon Oct 25 08:20:22 2010  begin with 21714748 relations and 11529131 unique ideals
Mon Oct 25 08:20:34 2010  reduce to 21711381 relations and 11122695 ideals in 3 passes
Mon Oct 25 08:20:34 2010  max relations containing the same ideal: 143
Mon Oct 25 08:20:47 2010  removing 801806 relations and 401806 ideals in 400000 cliques
Mon Oct 25 08:20:47 2010  commencing in-memory singleton removal
Mon Oct 25 08:20:51 2010  begin with 20909575 relations and 11122695 unique ideals
Mon Oct 25 08:21:03 2010  reduce to 20907470 relations and 10718753 ideals in 3 passes
Mon Oct 25 08:21:03 2010  max relations containing the same ideal: 140
Mon Oct 25 08:21:14 2010  removing 801168 relations and 401168 ideals in 400000 cliques
Mon Oct 25 08:21:15 2010  commencing in-memory singleton removal
Mon Oct 25 08:21:18 2010  begin with 20106302 relations and 10718753 unique ideals
Mon Oct 25 08:21:29 2010  reduce to 20105110 relations and 10316383 ideals in 3 passes
Mon Oct 25 08:21:29 2010  max relations containing the same ideal: 137
Mon Oct 25 08:21:40 2010  removing 800699 relations and 400699 ideals in 400000 cliques
Mon Oct 25 08:21:41 2010  commencing in-memory singleton removal
Mon Oct 25 08:21:44 2010  begin with 19304411 relations and 10316383 unique ideals
Mon Oct 25 08:21:55 2010  reduce to 19303904 relations and 9915176 ideals in 3 passes
Mon Oct 25 08:21:55 2010  max relations containing the same ideal: 132
Mon Oct 25 08:22:05 2010  removing 800347 relations and 400347 ideals in 400000 cliques
Mon Oct 25 08:22:06 2010  commencing in-memory singleton removal
Mon Oct 25 08:22:09 2010  begin with 18503557 relations and 9915176 unique ideals
Mon Oct 25 08:22:19 2010  reduce to 18503242 relations and 9514509 ideals in 3 passes
Mon Oct 25 08:22:19 2010  max relations containing the same ideal: 125
Mon Oct 25 08:22:28 2010  removing 455859 relations and 228018 ideals in 227841 cliques
Mon Oct 25 08:22:29 2010  commencing in-memory singleton removal
Mon Oct 25 08:22:32 2010  begin with 18047383 relations and 9514509 unique ideals
Mon Oct 25 08:22:42 2010  reduce to 18047228 relations and 9286336 ideals in 3 passes
Mon Oct 25 08:22:42 2010  max relations containing the same ideal: 124
Mon Oct 25 08:22:51 2010  removing 75071 relations and 37604 ideals in 37467 cliques
Mon Oct 25 08:22:51 2010  commencing in-memory singleton removal
Mon Oct 25 08:22:54 2010  begin with 17972157 relations and 9286336 unique ideals
Mon Oct 25 08:23:01 2010  reduce to 17972070 relations and 9248645 ideals in 2 passes
Mon Oct 25 08:23:01 2010  max relations containing the same ideal: 123
Mon Oct 25 08:23:09 2010  removing 55941 relations and 28003 ideals in 27938 cliques
Mon Oct 25 08:23:10 2010  commencing in-memory singleton removal
Mon Oct 25 08:23:13 2010  begin with 17916129 relations and 9248645 unique ideals
Mon Oct 25 08:23:19 2010  reduce to 17916084 relations and 9220597 ideals in 2 passes
Mon Oct 25 08:23:19 2010  max relations containing the same ideal: 123
Mon Oct 25 08:23:28 2010  removing 42372 relations and 21205 ideals in 21167 cliques
Mon Oct 25 08:23:28 2010  commencing in-memory singleton removal
Mon Oct 25 08:23:32 2010  begin with 17873712 relations and 9220597 unique ideals
Mon Oct 25 08:23:38 2010  reduce to 17873694 relations and 9199374 ideals in 2 passes
Mon Oct 25 08:23:38 2010  max relations containing the same ideal: 122
Mon Oct 25 08:23:47 2010  removing 31835 relations and 15928 ideals in 15907 cliques
Mon Oct 25 08:23:47 2010  commencing in-memory singleton removal
Mon Oct 25 08:23:50 2010  begin with 17841859 relations and 9199374 unique ideals
Mon Oct 25 08:23:57 2010  reduce to 17841843 relations and 9183430 ideals in 2 passes
Mon Oct 25 08:23:57 2010  max relations containing the same ideal: 122
Mon Oct 25 08:24:05 2010  removing 24012 relations and 12010 ideals in 12002 cliques
Mon Oct 25 08:24:06 2010  commencing in-memory singleton removal
Mon Oct 25 08:24:09 2010  begin with 17817831 relations and 9183430 unique ideals
Mon Oct 25 08:24:15 2010  reduce to 17817825 relations and 9171414 ideals in 2 passes
Mon Oct 25 08:24:15 2010  max relations containing the same ideal: 122
Mon Oct 25 08:24:24 2010  removing 18018 relations and 9012 ideals in 9006 cliques
Mon Oct 25 08:24:24 2010  commencing in-memory singleton removal
Mon Oct 25 08:24:27 2010  begin with 17799807 relations and 9171414 unique ideals
Mon Oct 25 08:24:34 2010  reduce to 17799802 relations and 9162397 ideals in 2 passes
Mon Oct 25 08:24:34 2010  max relations containing the same ideal: 122
Mon Oct 25 08:24:46 2010  relations with 0 large ideals: 4884
Mon Oct 25 08:24:46 2010  relations with 1 large ideals: 18737
Mon Oct 25 08:24:46 2010  relations with 2 large ideals: 235596
Mon Oct 25 08:24:46 2010  relations with 3 large ideals: 1254825
Mon Oct 25 08:24:46 2010  relations with 4 large ideals: 3535065
Mon Oct 25 08:24:46 2010  relations with 5 large ideals: 5486197
Mon Oct 25 08:24:46 2010  relations with 6 large ideals: 4647240
Mon Oct 25 08:24:46 2010  relations with 7+ large ideals: 2617258
Mon Oct 25 08:24:46 2010  commencing 2-way merge
Mon Oct 25 08:25:03 2010  reduce to 17793009 relation sets and 9155604 unique ideals
Mon Oct 25 08:25:03 2010  commencing full merge
Mon Oct 25 08:28:09 2010  memory use: 781.8 MB
Mon Oct 25 08:28:11 2010  found 10423479 cycles, need 2002390
Mon Oct 25 08:28:16 2010  weight of 2002390 cycles is about 39920295 (19.94/cycle)
Mon Oct 25 08:28:16 2010  distribution of cycle lengths:
Mon Oct 25 08:28:16 2010  1 relations: 982535
Mon Oct 25 08:28:16 2010  2 relations: 1007123
Mon Oct 25 08:28:16 2010  3 relations: 12726
Mon Oct 25 08:28:16 2010  4 relations: 6
Mon Oct 25 08:28:16 2010  5 relations: 0
Mon Oct 25 08:28:16 2010  6 relations: 0
Mon Oct 25 08:28:16 2010  7 relations: 0
Mon Oct 25 08:28:16 2010  8 relations: 0
Mon Oct 25 08:28:16 2010  9 relations: 0
Mon Oct 25 08:28:16 2010  10+ relations: 0
Mon Oct 25 08:28:16 2010  heaviest cycle: 4 relations
Mon Oct 25 08:28:21 2010  commencing cycle optimization
Mon Oct 25 08:28:22 2010  start with 3034983 relations
Mon Oct 25 08:28:23 2010  pruned 466 relations
Mon Oct 25 08:28:23 2010  memory use: 125.1 MB
Mon Oct 25 08:28:23 2010  distribution of cycle lengths:
Mon Oct 25 08:28:23 2010  1 relations: 982535
Mon Oct 25 08:28:23 2010  2 relations: 1007589
Mon Oct 25 08:28:23 2010  3 relations: 12260
Mon Oct 25 08:28:23 2010  4 relations: 6
Mon Oct 25 08:28:23 2010  5 relations: 0
Mon Oct 25 08:28:23 2010  6 relations: 0
Mon Oct 25 08:28:23 2010  7 relations: 0
Mon Oct 25 08:28:23 2010  8 relations: 0
Mon Oct 25 08:28:23 2010  9 relations: 0
Mon Oct 25 08:28:23 2010  10+ relations: 0
Mon Oct 25 08:28:23 2010  heaviest cycle: 4 relations
Mon Oct 25 08:28:24 2010  RelProcTime: 2494
Mon Oct 25 08:28:24 2010  
Mon Oct 25 08:28:24 2010  commencing linear algebra
Mon Oct 25 08:28:25 2010  read 2002390 cycles
Mon Oct 25 08:28:27 2010  cycles contain 2769555 unique relations
Mon Oct 25 08:28:50 2010  read 2769555 relations
Mon Oct 25 08:28:52 2010  using 20 quadratic characters above 268407474
Mon Oct 25 08:29:05 2010  building initial matrix
Mon Oct 25 08:29:24 2010  memory use: 398.3 MB
Mon Oct 25 08:29:25 2010  read 2002390 cycles
Mon Oct 25 08:29:26 2010  matrix is 1908238 x 2002390 (236.7 MB) with weight 71241890 (35.58/col)
Mon Oct 25 08:29:26 2010  sparse part has weight 40015622 (19.98/col)
Mon Oct 25 08:29:42 2010  filtering completed in 4 passes
Mon Oct 25 08:29:43 2010  matrix is 1552925 x 1553125 (190.2 MB) with weight 57477208 (37.01/col)
Mon Oct 25 08:29:43 2010  sparse part has weight 32774031 (21.10/col)
Mon Oct 25 08:29:45 2010  read 1553125 cycles
Mon Oct 25 08:29:45 2010  matrix is 1552925 x 1553125 (190.2 MB) with weight 57477208 (37.01/col)
Mon Oct 25 08:29:45 2010  sparse part has weight 32774031 (21.10/col)
Mon Oct 25 08:29:45 2010  saving the first 48 matrix rows for later
Mon Oct 25 08:29:46 2010  matrix is 1552877 x 1553125 (178.5 MB) with weight 34027076 (21.91/col)
Mon Oct 25 08:29:46 2010  sparse part has weight 31263845 (20.13/col)
Mon Oct 25 08:29:46 2010  matrix includes 64 packed rows
Mon Oct 25 08:29:46 2010  using block size 65536 for processor cache size 6144 kB
Mon Oct 25 08:29:48 2010  commencing Lanczos iteration (4 threads)
Mon Oct 25 08:29:48 2010  memory use: 245.3 MB
Mon Oct 25 08:29:51 2010  linear algebra at 0.0%, ETA 1h42m
Mon Oct 25 10:14:22 2010  lanczos halted after 24551 iterations (dim = 1552608)
Mon Oct 25 10:14:24 2010  lanczos error: only trivial dependencies found
Mon Oct 25 10:14:24 2010  BLanczosTime: 6360
Mon Oct 25 10:14:24 2010  
Mon Oct 25 10:14:24 2010  commencing square root phase
Mon Oct 25 10:14:24 2010  reading relations for dependency 1
Mon Oct 25 10:14:24 2010  error: read_cycles can't open dependency file
Mon Oct 25 11:11:57 2010  
Mon Oct 25 11:11:57 2010  
Mon Oct 25 11:11:57 2010  Msieve v. 1.44
Mon Oct 25 11:11:57 2010  random seeds: dbc648ed 6f3f15df
Mon Oct 25 11:11:57 2010  factoring 6327207167841334005041021025828391908946626147231963810763698383968017261644881772472819793170422535942215735484123092843795750728711203280746492717096626342380094998679 (169 digits)
Mon Oct 25 11:11:58 2010  no P-1/P+1/ECM available, skipping
Mon Oct 25 11:11:58 2010  commencing number field sieve (169-digit input)
Mon Oct 25 11:11:58 2010  R0: -100000000000000000000000000000000000
Mon Oct 25 11:11:58 2010  R1:  1
Mon Oct 25 11:11:58 2010  A0: -17
Mon Oct 25 11:11:58 2010  A1:  0
Mon Oct 25 11:11:58 2010  A2:  0
Mon Oct 25 11:11:58 2010  A3:  0
Mon Oct 25 11:11:58 2010  A4:  0
Mon Oct 25 11:11:58 2010  A5:  89
Mon Oct 25 11:11:58 2010  skew 1.00, size 2.460409e-12, alpha 0.711958, combined = 1.434935e-10
Mon Oct 25 11:11:58 2010  
Mon Oct 25 11:11:58 2010  commencing relation filtering
Mon Oct 25 11:11:58 2010  estimated available RAM is 7923.9 MB
Mon Oct 25 11:11:58 2010  commencing duplicate removal, pass 1
Mon Oct 25 11:15:04 2010  found 3238613 hash collisions in 30000000 relations
Mon Oct 25 11:15:38 2010  added 730511 free relations
Mon Oct 25 11:15:38 2010  commencing duplicate removal, pass 2
Mon Oct 25 11:15:51 2010  found 2135636 duplicates and 28594875 unique relations
Mon Oct 25 11:15:51 2010  memory use: 98.6 MB
Mon Oct 25 11:15:51 2010  reading ideals above 720000
Mon Oct 25 11:15:52 2010  commencing singleton removal, initial pass
Mon Oct 25 11:20:01 2010  memory use: 689.0 MB
Mon Oct 25 11:20:08 2010  reading all ideals from disk
Mon Oct 25 11:20:12 2010  memory use: 876.8 MB
Mon Oct 25 11:20:17 2010  keeping 24589210 ideals with weight <= 200, target excess is 148240
Mon Oct 25 11:20:23 2010  commencing in-memory singleton removal
Mon Oct 25 11:20:28 2010  begin with 28594875 relations and 24589210 unique ideals
Mon Oct 25 11:21:12 2010  reduce to 19042109 relations and 13797137 ideals in 11 passes
Mon Oct 25 11:21:12 2010  max relations containing the same ideal: 160
Mon Oct 25 11:21:27 2010  removing 2005021 relations and 1605021 ideals in 400000 cliques
Mon Oct 25 11:21:27 2010  commencing in-memory singleton removal
Mon Oct 25 11:21:31 2010  begin with 17037088 relations and 13797137 unique ideals
Mon Oct 25 11:21:50 2010  reduce to 16919861 relations and 12071892 ideals in 6 passes
Mon Oct 25 11:21:50 2010  max relations containing the same ideal: 149
Mon Oct 25 11:22:03 2010  removing 1487562 relations and 1087562 ideals in 400000 cliques
Mon Oct 25 11:22:04 2010  commencing in-memory singleton removal
Mon Oct 25 11:22:06 2010  begin with 15432299 relations and 12071892 unique ideals
Mon Oct 25 11:22:24 2010  reduce to 15360368 relations and 10910753 ideals in 6 passes
Mon Oct 25 11:22:24 2010  max relations containing the same ideal: 138
Mon Oct 25 11:22:36 2010  removing 1321244 relations and 921244 ideals in 400000 cliques
Mon Oct 25 11:22:37 2010  commencing in-memory singleton removal
Mon Oct 25 11:22:39 2010  begin with 14039124 relations and 10910753 unique ideals
Mon Oct 25 11:22:55 2010  reduce to 13976001 relations and 9924973 ideals in 6 passes
Mon Oct 25 11:22:55 2010  max relations containing the same ideal: 130
Mon Oct 25 11:23:06 2010  removing 1245179 relations and 845179 ideals in 400000 cliques
Mon Oct 25 11:23:06 2010  commencing in-memory singleton removal
Mon Oct 25 11:23:08 2010  begin with 12730822 relations and 9924973 unique ideals
Mon Oct 25 11:23:28 2010  reduce to 12673338 relations and 9020937 ideals in 8 passes
Mon Oct 25 11:23:28 2010  max relations containing the same ideal: 120
Mon Oct 25 11:23:37 2010  removing 1174221 relations and 774221 ideals in 400000 cliques
Mon Oct 25 11:23:37 2010  commencing in-memory singleton removal
Mon Oct 25 11:23:39 2010  begin with 11499117 relations and 9020937 unique ideals
Mon Oct 25 11:23:50 2010  reduce to 11440670 relations and 8186758 ideals in 5 passes
Mon Oct 25 11:23:50 2010  max relations containing the same ideal: 110
Mon Oct 25 11:23:58 2010  removing 1121780 relations and 721780 ideals in 400000 cliques
Mon Oct 25 11:23:59 2010  commencing in-memory singleton removal
Mon Oct 25 11:24:01 2010  begin with 10318890 relations and 8186758 unique ideals
Mon Oct 25 11:24:10 2010  reduce to 10257390 relations and 7401726 ideals in 5 passes
Mon Oct 25 11:24:10 2010  max relations containing the same ideal: 102
Mon Oct 25 11:24:18 2010  removing 1093085 relations and 693085 ideals in 400000 cliques
Mon Oct 25 11:24:18 2010  commencing in-memory singleton removal
Mon Oct 25 11:24:20 2010  begin with 9164305 relations and 7401726 unique ideals
Mon Oct 25 11:24:28 2010  reduce to 9100728 relations and 6643134 ideals in 5 passes
Mon Oct 25 11:24:28 2010  max relations containing the same ideal: 92
Mon Oct 25 11:24:35 2010  removing 1061547 relations and 661547 ideals in 400000 cliques
Mon Oct 25 11:24:35 2010  commencing in-memory singleton removal
Mon Oct 25 11:24:37 2010  begin with 8039181 relations and 6643134 unique ideals
Mon Oct 25 11:24:45 2010  reduce to 7966598 relations and 5906101 ideals in 6 passes
Mon Oct 25 11:24:45 2010  max relations containing the same ideal: 87
Mon Oct 25 11:24:51 2010  removing 1025237 relations and 625237 ideals in 400000 cliques
Mon Oct 25 11:24:52 2010  commencing in-memory singleton removal
Mon Oct 25 11:24:53 2010  begin with 6941361 relations and 5906101 unique ideals
Mon Oct 25 11:24:59 2010  reduce to 6854082 relations and 5189186 ideals in 5 passes
Mon Oct 25 11:24:59 2010  max relations containing the same ideal: 80
Mon Oct 25 11:25:04 2010  removing 1004496 relations and 604496 ideals in 400000 cliques
Mon Oct 25 11:25:04 2010  commencing in-memory singleton removal
Mon Oct 25 11:25:05 2010  begin with 5849586 relations and 5189186 unique ideals
Mon Oct 25 11:25:11 2010  reduce to 5759051 relations and 4488982 ideals in 6 passes
Mon Oct 25 11:25:11 2010  max relations containing the same ideal: 72
Mon Oct 25 11:25:16 2010  removing 990214 relations and 590214 ideals in 400000 cliques
Mon Oct 25 11:25:16 2010  commencing in-memory singleton removal
Mon Oct 25 11:25:17 2010  begin with 4768837 relations and 4488982 unique ideals
Mon Oct 25 11:25:22 2010  reduce to 4665035 relations and 3788034 ideals in 7 passes
Mon Oct 25 11:25:22 2010  max relations containing the same ideal: 60
Mon Oct 25 11:25:25 2010  removing 980762 relations and 580762 ideals in 400000 cliques
Mon Oct 25 11:25:26 2010  commencing in-memory singleton removal
Mon Oct 25 11:25:26 2010  begin with 3684273 relations and 3788034 unique ideals
Mon Oct 25 11:25:30 2010  reduce to 3563625 relations and 3076743 ideals in 6 passes
Mon Oct 25 11:25:30 2010  max relations containing the same ideal: 52
Mon Oct 25 11:25:32 2010  removing 801845 relations and 486922 ideals in 314923 cliques
Mon Oct 25 11:25:33 2010  commencing in-memory singleton removal
Mon Oct 25 11:25:33 2010  begin with 2761780 relations and 3076743 unique ideals
Mon Oct 25 11:25:36 2010  reduce to 2651652 relations and 2470239 ideals in 7 passes
Mon Oct 25 11:25:36 2010  max relations containing the same ideal: 42
Mon Oct 25 11:25:38 2010  removing 48652 relations and 39198 ideals in 9454 cliques
Mon Oct 25 11:25:38 2010  commencing in-memory singleton removal
Mon Oct 25 11:25:38 2010  begin with 2603000 relations and 2470239 unique ideals
Mon Oct 25 11:25:40 2010  reduce to 2602473 relations and 2430512 ideals in 5 passes
Mon Oct 25 11:25:40 2010  max relations containing the same ideal: 42
Mon Oct 25 11:25:41 2010  relations with 0 large ideals: 3385
Mon Oct 25 11:25:41 2010  relations with 1 large ideals: 4428
Mon Oct 25 11:25:41 2010  relations with 2 large ideals: 49111
Mon Oct 25 11:25:41 2010  relations with 3 large ideals: 223586
Mon Oct 25 11:25:41 2010  relations with 4 large ideals: 532024
Mon Oct 25 11:25:41 2010  relations with 5 large ideals: 734978
Mon Oct 25 11:25:41 2010  relations with 6 large ideals: 635134
Mon Oct 25 11:25:41 2010  relations with 7+ large ideals: 419827
Mon Oct 25 11:25:41 2010  commencing 2-way merge
Mon Oct 25 11:25:43 2010  reduce to 1861954 relation sets and 1689993 unique ideals
Mon Oct 25 11:25:43 2010  commencing full merge
Mon Oct 25 11:26:11 2010  memory use: 200.1 MB
Mon Oct 25 11:26:11 2010  found 967652 cycles, need 944193
Mon Oct 25 11:26:12 2010  weight of 944193 cycles is about 66202014 (70.11/cycle)
Mon Oct 25 11:26:12 2010  distribution of cycle lengths:
Mon Oct 25 11:26:12 2010  1 relations: 64777
Mon Oct 25 11:26:12 2010  2 relations: 95435
Mon Oct 25 11:26:12 2010  3 relations: 115528
Mon Oct 25 11:26:12 2010  4 relations: 118290
Mon Oct 25 11:26:12 2010  5 relations: 113002
Mon Oct 25 11:26:12 2010  6 relations: 100179
Mon Oct 25 11:26:12 2010  7 relations: 85491
Mon Oct 25 11:26:12 2010  8 relations: 69179
Mon Oct 25 11:26:12 2010  9 relations: 54648
Mon Oct 25 11:26:12 2010  10+ relations: 127664
Mon Oct 25 11:26:12 2010  heaviest cycle: 17 relations
Mon Oct 25 11:26:12 2010  commencing cycle optimization
Mon Oct 25 11:26:14 2010  start with 5356065 relations
Mon Oct 25 11:26:22 2010  pruned 195711 relations
Mon Oct 25 11:26:22 2010  memory use: 163.1 MB
Mon Oct 25 11:26:22 2010  distribution of cycle lengths:
Mon Oct 25 11:26:22 2010  1 relations: 64777
Mon Oct 25 11:26:22 2010  2 relations: 98018
Mon Oct 25 11:26:22 2010  3 relations: 121139
Mon Oct 25 11:26:22 2010  4 relations: 123765
Mon Oct 25 11:26:22 2010  5 relations: 118625
Mon Oct 25 11:26:22 2010  6 relations: 103777
Mon Oct 25 11:26:22 2010  7 relations: 87468
Mon Oct 25 11:26:22 2010  8 relations: 69108
Mon Oct 25 11:26:22 2010  9 relations: 52625
Mon Oct 25 11:26:22 2010  10+ relations: 104891
Mon Oct 25 11:26:22 2010  heaviest cycle: 17 relations
Mon Oct 25 11:26:24 2010  RelProcTime: 866
Mon Oct 25 11:26:24 2010  
Mon Oct 25 11:26:24 2010  commencing linear algebra
Mon Oct 25 11:26:24 2010  read 944193 cycles
Mon Oct 25 11:26:26 2010  cycles contain 2531468 unique relations
Mon Oct 25 11:26:45 2010  read 2531468 relations
Mon Oct 25 11:26:48 2010  using 20 quadratic characters above 268435008
Mon Oct 25 11:27:00 2010  building initial matrix
Mon Oct 25 11:27:32 2010  memory use: 326.6 MB
Mon Oct 25 11:27:33 2010  read 944193 cycles
Mon Oct 25 11:27:34 2010  matrix is 944016 x 944193 (280.1 MB) with weight 82968501 (87.87/col)
Mon Oct 25 11:27:34 2010  sparse part has weight 63031576 (66.76/col)
Mon Oct 25 11:27:43 2010  filtering completed in 2 passes
Mon Oct 25 11:27:43 2010  matrix is 943829 x 944006 (280.0 MB) with weight 82962062 (87.88/col)
Mon Oct 25 11:27:43 2010  sparse part has weight 63028859 (66.77/col)
Mon Oct 25 11:27:47 2010  read 944006 cycles
Mon Oct 25 11:27:47 2010  matrix is 943829 x 944006 (280.0 MB) with weight 82962062 (87.88/col)
Mon Oct 25 11:27:47 2010  sparse part has weight 63028859 (66.77/col)
Mon Oct 25 11:27:48 2010  saving the first 48 matrix rows for later
Mon Oct 25 11:27:48 2010  matrix is 943781 x 944006 (264.7 MB) with weight 65231776 (69.10/col)
Mon Oct 25 11:27:48 2010  sparse part has weight 59954526 (63.51/col)
Mon Oct 25 11:27:48 2010  matrix includes 64 packed rows
Mon Oct 25 11:27:48 2010  using block size 65536 for processor cache size 6144 kB
Mon Oct 25 11:27:52 2010  commencing Lanczos iteration (4 threads)
Mon Oct 25 11:27:52 2010  memory use: 280.4 MB
Mon Oct 25 11:27:57 2010  linear algebra at 0.2%, ETA 0h51m
Mon Oct 25 12:18:49 2010  lanczos halted after 14927 iterations (dim = 943777)
Mon Oct 25 12:18:51 2010  recovered 33 nontrivial dependencies
Mon Oct 25 12:18:51 2010  BLanczosTime: 3147
Mon Oct 25 12:18:51 2010  
Mon Oct 25 12:18:51 2010  commencing square root phase
Mon Oct 25 12:18:51 2010  reading relations for dependency 1
Mon Oct 25 12:18:51 2010  read 472091 cycles
Mon Oct 25 12:18:52 2010  cycles contain 1266574 unique relations
Mon Oct 25 12:19:04 2010  read 1266574 relations
Mon Oct 25 12:19:10 2010  multiplying 1266574 relations
Mon Oct 25 12:21:11 2010  multiply complete, coefficients have about 36.39 million bits
Mon Oct 25 12:21:12 2010  initial square root is modulo 168071
Mon Oct 25 12:25:03 2010  reading relations for dependency 2
Mon Oct 25 12:25:03 2010  read 471349 cycles
Mon Oct 25 12:25:04 2010  cycles contain 1264840 unique relations
Mon Oct 25 12:25:16 2010  read 1264840 relations
Mon Oct 25 12:25:22 2010  multiplying 1264840 relations
Mon Oct 25 12:27:23 2010  multiply complete, coefficients have about 36.35 million bits
Mon Oct 25 12:27:23 2010  initial square root is modulo 165511
Mon Oct 25 12:31:14 2010  reading relations for dependency 3
Mon Oct 25 12:31:14 2010  read 471304 cycles
Mon Oct 25 12:31:15 2010  cycles contain 1265234 unique relations
Mon Oct 25 12:31:27 2010  read 1265234 relations
Mon Oct 25 12:31:33 2010  multiplying 1265234 relations
Mon Oct 25 12:33:34 2010  multiply complete, coefficients have about 36.36 million bits
Mon Oct 25 12:33:35 2010  initial square root is modulo 165961
Mon Oct 25 12:37:26 2010  sqrtTime: 1115
Mon Oct 25 12:37:26 2010  prp67 factor: 6047012934192411009841594872820105721963867612841502736752307901371
Mon Oct 25 12:37:26 2010  prp103 factor: 1046335973925999782500933331961061345294456244334641897217746358051798513759993213872141487035016526549
Mon Oct 25 12:37:26 2010  elapsed time 01:25:29

3470794655245587190105505930915024270778455382884009992884049679766260309437012149311078042965024733825587991179086463005486636119288813191278820253317638086362422941<166>

3821395850994380241755985540535208099<37>

908253107131635746623926684362002747802920667633064982646894932324548203713923587016864520180173142123238282801570346794908544959<129>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=141892077
Step 1 took 5163ms
Step 2 took 2740ms
********** Factor found in step 2: 3821395850994380241755985540535208099
Found probable prime factor of 37 digits: 3821395850994380241755985540535208099
Composite cofactor has 129 digits

908253107131635746623926684362002747802920667633064982646894932324548203713923587016864520180173142123238282801570346794908544959<129>

6021337272793165807444184169932993<34>

150839102010692904511903212786116029363061685106778258499323830481066004130728248167471410804863<96>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=747245531
Step 1 took 5397ms
Step 2 took 4462ms
********** Factor found in step 2: 6021337272793165807444184169932993
Found probable prime factor of 34 digits: 6021337272793165807444184169932993
Composite cofactor 150839102010692904511903212786116029363061685106778258499323830481066004130728248167471410804863 has 96 digits

GMP-ECM 6.3

150839102010692904511903212786116029363061685106778258499323830481066004130728248167471410804863<96>

64907455826852775575616699745595718691<38>
2323910251744753552086175570098737587944748102768952072693<58>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 150839102010692904511903212786116029363061685106778258499323830481066004130728248167471410804863 (96 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3461395089
Step 1 took 3026ms
Step 2 took 3152ms
********** Factor found in step 2: 64907455826852775575616699745595718691
Found probable prime factor of 38 digits: 64907455826852775575616699745595718691
Probable prime cofactor 2323910251744753552086175570098737587944748102768952072693 has 58 digits

GMP-ECM

1559469049548494943332130112021782319409398034347916602509299569999544047520709015195249827823889009333955267042328928738093327932137862523383353311683442143233548735134227<172>

10804471394271308773612723606220693552828600533<47>
144335524861988953783061412336240739143143278228724473134608215942230953947831061348691852820152710683815099813114451521147719<126>

Number: n
N=1559469049548494943332130112021782319409398034347916602509299569999544047520709015195249827823889009333955267042328928738093327932137862523383353311683442143233548735134227
  ( 172 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sun Jan 22 02:50:04 2012  prp47 factor: 10804471394271308773612723606220693552828600533
Sun Jan 22 02:50:04 2012  prp126 factor: 144335524861988953783061412336240739143143278228724473134608215942230953947831061348691852820152710683815099813114451521147719
Sun Jan 22 02:50:04 2012  elapsed time 02:27:09 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.652).
Factorization parameters were as follows:
name: KA_98887_180
n: 1559469049548494943332130112021782319409398034347916602509299569999544047520709015195249827823889009333955267042328928738093327932137862523383353311683442143233548735134227
m: 1000000000000000000000000000000000000
deg: 5
c5: 89
c0: -17
skew: 0.72
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5058334 hash collisions in 76000096 relations
Msieve: matrix is 1132326 x 1132574 (310.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

79132899540683799632483788444316371253114251893500927350479991126876694311738051850402161818543284276391004938920071891175009018196186691058105129868439522185247<161>

146786525168739293450804852988112789449240392193174419<54>
539101933571328296406602164119232893235467001492982541592797028536666039649528749287644745887122614304086213<108>

N=79132899540683799632483788444316371253114251893500927350479991126876694311738051850402161818543284276391004938920071891175009018196186691058105129868439522185247
  ( 161 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=146786525168739293450804852988112789449240392193174419 (pp54)
 r2=539101933571328296406602164119232893235467001492982541592797028536666039649528749287644745887122614304086213 (pp108)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 163.91 hours.
Scaled time: 314.86 units (timescale=1.921).
Factorization parameters were as follows:
n: 79132899540683799632483788444316371253114251893500927350479991126876694311738051850402161818543284276391004938920071891175009018196186691058105129868439522185247
m: 1000000000000000000000000000000000000
deg: 5
c5: 8900
c0: -17
skew: 0.29
# Murphy_E = 5.786e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 12450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1749273 x 1749501
Total sieving time: 160.48 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.09 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 163.91 hours.
 --------- CPU info (if available) ----------

297629063826159458905650443496085531631775492439009022147472181807082090747734645510780260167388998108452414847797224767244987855264899663455580539729125063947719179451531<171>

1945615222380549950716566346757<31>

152974267677653433202845593914566296445929631551120029911461991489803219854806789377846681003102433331235463003108932835006616842170539535183<141>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=3089323198
Step 1 took 3845ms
Step 2 took 2269ms
********** Factor found in step 2: 1945615222380549950716566346757
Found probable prime factor of 31 digits: 1945615222380549950716566346757
Composite cofactor has 141 digits

152974267677653433202845593914566296445929631551120029911461991489803219854806789377846681003102433331235463003108932835006616842170539535183<141>

8934709301912995239606383815125212653214171993955968259671<58>
17121348049331652669307337942818058151240019719138984540386114435267454596192995273<83>

N=152974267677653433202845593914566296445929631551120029911461991489803219854806789377846681003102433331235463003108932835006616842170539535183
  ( 141 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=8934709301912995239606383815125212653214171993955968259671 (pp58)
 r2=17121348049331652669307337942818058151240019719138984540386114435267454596192995273 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 171.75 hours.
Scaled time: 330.45 units (timescale=1.924).
Factorization parameters were as follows:
n: 152974267677653433202845593914566296445929631551120029911461991489803219854806789377846681003102433331235463003108932835006616842170539535183
m: 10000000000000000000000000000000000000
deg: 5
c5: 89
c0: -17
skew: 0.72
# Murphy_E = 5.616e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 12950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1725390 x 1725622
Total sieving time: 168.55 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.86 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 171.75 hours.
 --------- CPU info (if available) ----------

1906230454656402753788596165526852624067485247874406681161923324522679639139902659353206738654185960498725737829431666130773519806315782497861836955982491<154>

142808978329457126419817539651433<33>
13348113521677689128278432392002992442148175859042726153962065442306177776180996667924114020714382692185107296898847798627<122>

Using B1=12000000, B2=35134365640, polynomial Dickson(12), sigma=183556210
Step 1 took 26323ms
Step 2 took 11357ms
********** Factor found in step 2: 142808978329457126419817539651433
Found probable prime factor of 33 digits: 142808978329457126419817539651433
Probable prime cofactor has 122 digits

129872896104072322916574930776350908680979509379124575189048036017274712421041037290465563833921261501103504727901818541782889228901443557301175680670753978990319388051213075771<177>

221447032845448620317566571650617133<36>
586473859844907775771768955969513804379631666148911704853453187739043388463985435452853610063245862402735416918800799197139939319860518004487<141>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2336892952
Step 1 took 6089ms
Step 2 took 2976ms
********** Factor found in step 2: 221447032845448620317566571650617133
Found probable prime factor of 36 digits: 221447032845448620317566571650617133
Probable prime cofactor has 141 digits

1516962281677689107589696081072206159094601345398312150463860051748560418552785986221483378628310021850803395716164758051437714952982047<136>

405531589970564876882758806473<30>

3740675989724490676272456401913671804422027586900288989972567803167832893093413811006592617175764432195239<106>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=491222100
Step 1 took 7082ms
Step 2 took 4743ms
********** Factor found in step 2: 405531589970564876882758806473
Found probable prime factor of 30 digits: 405531589970564876882758806473
Composite cofactor 3740675989724490676272456401913671804422027586900288989972567803167832893093413811006592617175764432195239 has 106 digits

GMP-ECM 6.3

3740675989724490676272456401913671804422027586900288989972567803167832893093413811006592617175764432195239<106>

679469330189234262655433671924154940839<39>
5505290413450598431247963500606172833582108035012422791983266809601<67>

Number: qw6
N=3740675989724490676272456401913671804422027586900288989972567803167832893093413811006592617175764432195239
  ( 106 digits)
Divisors found:
 r1=679469330189234262655433671924154940839 (pp39)
 r2=5505290413450598431247963500606172833582108035012422791983266809601 (pp67)
Version: Msieve-1.40
Total time: 7.38 hours.
Scaled time: 14.54 units (timescale=1.970).
Factorization parameters were as follows:
name: qw6
n: 3740675989724490676272456401913671804422027586900288989972567803167832893093413811006592617175764432195239
skew: 8906.14
# norm 1.71e+014
c5: 45240
c4: 1035676483
c3: 6307743876723
c2: -108221127569221403
c1: -229174650858030228918
c0: 1893455702828906538811240
# alpha -5.75
Y1: 157668845983
Y0: -152575023082597801899
# Murphy_E 1.84e-009
# M 3640846177850880419328406285285333168607243778363027105799021016772943294613135550143058622295318506187460
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 306893 x 307119
Polynomial selection time: 0.84 hours.
Total sieving time: 6.20 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.38 hours.
 --------- CPU info (if available) ----------

4872271892645152307367923010984797922211320891055229145596079346190862595195534454026219440716368029224804603535522806935586052423291422989818281628774716815042579458171227<172>

5228247381130129166608286696093924166853558449043873106942318510266155986037883<79>
931913036523526207753809938580811706786732099843525679077147972498011015423376369210073643169<93>

Number: n
N=4872271892645152307367923010984797922211320891055229145596079346190862595195534454026219440716368029224804603535522806935586052423291422989818281628774716815042579458171227  ( 172 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Mar  8 10:48:28 2021  p79 factor: 5228247381130129166608286696093924166853558449043873106942318510266155986037883
Mon Mar  8 10:48:28 2021  p93 factor: 931913036523526207753809938580811706786732099843525679077147972498011015423376369210073643169
Mon Mar  8 10:48:28 2021  elapsed time 01:11:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 89x10^195-17 = 98(194)7
#
n: 4872271892645152307367923010984797922211320891055229145596079346190862595195534454026219440716368029224804603535522806935586052423291422989818281628774716815042579458171227
m: 1000000000000000000000000000000000000000
deg: 5
c5: 89
c0: -17
skew: 0.72
# Murphy_E = 2.176e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3312066 hash collisions in 27227207 relations (25425582 unique)
Msieve: matrix is 1713162 x 1713389 (597.3 MB)

Sieving start time : 2021/03/08 04:51:29
Sieving end time  : 2021/03/08 09:36:23

Total sieving time: 4hrs 44min 54secs.

Total relation processing time: 0hrs 56min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 11sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

65086648476962446905163369918188144429200412747376224412161090906193349895239488763088990552434785687901430940738971997661017240429858544949785717614948591786418053618773436620233850911891<188>

6258047947040378532678690725257423010705224996205132931214902073430247795937414390813<85>
10400471365474901039817609195013381480965660640074660843754673993438467866277566305234377471571046327407<104>

N=65086648476962446905163369918188144429200412747376224412161090906193349895239488763088990552434785687901430940738971997661017240429858544949785717614948591786418053618773436620233850911891
  ( 188 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=6258047947040378532678690725257423010705224996205132931214902073430247795937414390813 (pp85)
 r2=10400471365474901039817609195013381480965660640074660843754673993438467866277566305234377471571046327407 (pp104)
Version: Msieve v. 1.49
Total time:
Scaled time: 78.00 units (timescale=0.678).
Factorization parameters were as follows:
n: 65086648476962446905163369918188144429200412747376224412161090906193349895239488763088990552434785687901430940738971997661017240429858544949785717614948591786418053618773436620233850911891
m: 1000000000000000000000000000000000000000
deg: 5
c5: 890
c0: -17
skew: 0.45
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6950000, 17190001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2822795 x 2823011
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time:

5136822034731983474592206507378127696084023672910693923186021850511216218309347501848823250576302049466824888741613841894377028278934189074894178286459437754473933<163>

1545207239116517472147264540466106056087308967<46>
4463365837140865794130396303945267066789336276211831<52>
744809660097336811237788858402309433630508564782638915812160467629<66>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=786033229
Step 1 took 23510ms
Step 2 took 13260ms
********** Factor found in step 2: 1545207239116517472147264540466106056087308967
Found probable prime factor of 46 digits: 1545207239116517472147264540466106056087308967
Composite cofactor 3324357992050953422206866368031960961360214345379407309669735841504809091732554765681771918990172249722099173622318699 has 118 digits

N = 3324357992050953422206866368031960961360214345379407309669735841504809091732554765681771918990172249722099173622318699 (118 digits)
Divisors found:
r1=4463365837140865794130396303945267066789336276211831 (pp52)
r2=744809660097336811237788858402309433630508564782638915812160467629 (pp66)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 7.30 hours.
Factorization parameters were as follows:
n: 3324357992050953422206866368031960961360214345379407309669735841504809091732554765681771918990172249722099173622318699
Y0: -63188152479300650204411
Y1: 3885581803861
c0: 2698086932098331429784763600
c1: 311144080880143861520092
c2: -21750804704493712240
c3: 119759938207267
c4: 1922575330
c5: 3300
skew: 98764.07  
type: gnfs
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10291116
Relations: 1044166 relations
Pruned matrix : 599308 x 599543
Polynomial selection time: 0.00 hours.
Total sieving time: 6.96 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.27 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,117,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 7.30 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

27880338948219105993092471963977436888991444502835614307104902937280619515476975710380666235637748610779390902531472268705202584018664419284847631552167203202723381805131549913<176>

5755388401332169441456430585656164218098763074436346921043636841935249096363<76>
4844215021485915837343788748343884178262044584968639030106018594785402091378950103339234396177715851<100>

27880338948219105993092471963977436888991444502835614307104902937280619515476975710380666235637748610779390902531472268705202584018664419284847631552167203202723381805131549913=5755388401332169441456430585656164218098763074436346921043636841935249096363*4844215021485915837343788748343884178262044584968639030106018594785402091378950103339234396177715851

cado polynomial
n: 27880338948219105993092471963977436888991444502835614307104902937280619515476975710380666235637748610779390902531472268705202584018664419284847631552167203202723381805131549913
skew: 1.14
type: snfs
c0: -170
c5: 89
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 89*x^5-170
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16300000
tasks.lim1 = 16300000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4844215021485915837343788748343884178262044584968639030106018594785402091378950103339234396177715851 5755388401332169441456430585656164218098763074436346921043636841935249096363
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: 6.78/2.60556
Info:Generate Free Relations: Total cpu/real time for freerel: 203.93/52.4749
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 53318066
Info:Lattice Sieving: Average J: 1893.77 for 7381160 special-q, max bucket fill -bkmult 1.0,1s:1.080780
Info:Lattice Sieving: Total time: 2.26971e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.55/275.518
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 274.50000000000006s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 934.81/922.952
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 806.7000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 741.75/873.647
Info:Filtering - Merging: Merged matrix has 4220590 rows and total weight 720116687 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 592.22/172.328
Info:Filtering - Merging: Total cpu/real time for replay: 169.5/150.135
Info:Linear Algebra: Total cpu/real time for bwc: 348875/89236.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 57051.72, iteration CPU time 0.41, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (132096 iterations)
Info:Linear Algebra: Lingen CPU time 960.57, WCT time 276.12
Info:Linear Algebra: Mksol: WCT time 31324.62, iteration CPU time 0.45, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (66048 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 152.33/64.0916
Info:Square Root: Total cpu/real time for sqrt: 1281.74/405.295
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.37895e+06/469868
Info:root: Cleaning up computation data in /tmp/cado.0i08tst5
4844215021485915837343788748343884178262044584968639030106018594785402091378950103339234396177715851 5755388401332169441456430585656164218098763074436346921043636841935249096363

cado-nfs-3.0.0

3 x 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)

60017933556426820041880539889774229251055358608079784624453167703756059898634393672844488809653751049084943686533694524534998890966417209887453970289<149>

5739769942723172446989302392932620947811<40>
10456505078660339741747383452797103014290474537950437661384227172554899307727620006622386032094757178348867099<110>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1969246564
Step 1 took 16318ms
Step 2 took 10000ms
********** Factor found in step 2: 5739769942723172446989302392932620947811
Found probable prime factor of 40 digits: 5739769942723172446989302392932620947811
Probable prime cofactor 10456505078660339741747383452797103014290474537950437661384227172554899307727620006622386032094757178348867099 has 110 digits

GMP-ECM 6.3

198687431437360161250675775114160110229693644248426631807487070855028642488413838731153026972329781419336433948531032669526020761692909094580707595748851134906417922643671212704591673166185121<192>

1773700252354809724351213809610592784373<40>
112018606962240466655916264153444519544150082970987788421259152204689889976529640832881980724258756211699627496545037651230011417013757337964202774730877<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=762163130
Step 1 took 22800ms
Step 2 took 9287ms
********** Factor found in step 2: 1773700252354809724351213809610592784373
Found probable prime factor of 40 digits: 1773700252354809724351213809610592784373

91681624832323708714453123258364011271221888096969728854455424819326278931165771220488847519781295470022061845654073670561536181030286916235492562896254976145788561559615314993740417<182>

724781649914341019835013332694184185291<39>
126495510535013110696623836047150788181712379581725820856241133532180731191225687285505954989094273188359149217724287115457992251955904863801187<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2079864479
Step 1 took 22775ms
Step 2 took 8952ms
********** Factor found in step 2: 724781649914341019835013332694184185291
Found probable prime factor of 39 digits: 724781649914341019835013332694184185291

329629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<204>

269095275478072640294070836100415945049<39>

1224955098316059661530615366237519480547210963710226794259659444008630690419283103240075991086701995747909060691731958343789432953035554565287071021914287457255036421<166>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1205381154
Step 1 took 87744ms
********** Factor found in step 1: 269095275478072640294070836100415945049
Found probable prime factor of 39 digits: 269095275478072640294070836100415945049

1224955098316059661530615366237519480547210963710226794259659444008630690419283103240075991086701995747909060691731958343789432953035554565287071021914287457255036421<166>

994473623046276191939536874783238252038489<42>
4222143057187434489811557581102913862043024220727<49>
291738641802148839624037370968457337069158724194483634045050631288953385307<75>

#
# N = 89x10^203-17 = 98(202)7
#
n: 1224955098316059661530615366237519480547210963710226794259659444008630690419283103240075991086701995747909060691731958343789432953035554565287071021914287457255036421
m: 10000000000000000000000000000000000000000
deg: 5
c5: 89000
c0: -17
skew: 0.18
# Murphy_E = 6.981e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1224955098316059661530615366237519480547210963710226794259659444008630690419283103240075991086701995747909060691731958343789432953035554565287071021914287457255036421 (166 digits)
Using B1=35060000, B2=192388936756, polynomial Dickson(12), sigma=1:2741007478
Step 1 took 83650ms
Step 2 took 30769ms
********** Factor found in step 2: 994473623046276191939536874783238252038489
Found prime factor of 42 digits: 994473623046276191939536874783238252038489
Composite cofactor 1231762280998234574383738389455081251673919795221355534703854540872006451837652062059535596122937443409384048600262246658189 has 124 digits


CADO


STA:Sat 21 Aug 2021 19:42:09 AEST (1,231,762,280,998,234,574,383,738,389,455,081,251,673,919,795,221,355,534,703,854,540,872,006,451,837,652,062,059,535,596,122,937,443,409,384,048,600,262,246,658,189 - C124)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1231762280998234574383738389455081251673919795221355534703854540872006451837652062059535596122937443409384048600262246658189 2>&1 | tee -a log46

Debug:root: Looking for parameter file for c124 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.uy9jp03i
Info:Database: Opened connection to database /tmp/cado.uy9jp03i/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1231762280998234574383738389455081251673919795221355534703854540872006451837652062059
535596122937443409384048600262246658189
Debug:root: Root parameter dictionary:
N = 1231762280998234574383738389455081251673919795221355534703854540872006451837652062059535596122937443409384048600262246658189
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 1231762280998234574383738389455081251673919795221355534703854540872006451837652062059535596122937443409384048600262246658189
skew: 23031.038
c0: 1742104979399190878388861632
c1: -138332944423289833824760
c2: -4940248124597113815
c3: 134371903215844
c4: 10739750164
c5: 307680
Y0: -331460336387910562479273
Y1: 5899740980671997
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.94e-10
# f(x) = 307680*x^5+10739750164*x^4+134371903215844*x^3-4940248124597113815*x^2-138332944423289833824760*x+1742104979399190878388861632
# g(x) = 5899740980671997*x-331460336387910562479273
...
Info:Square Root: Factors: 4222143057187434489811557581102913862043024220727 291738641802148839624037370968457337069158724194483634045050631288953385307
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 623.97/87.1313
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21805/36.290/43.804/48.040/0.878
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21805/35.600/39.519/44.580/1.231
Info:Polynomial Selection (size optimized): Total time: 1767.87
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 826.65
Info:Polynomial Selection (root optimized): Rootsieve time: 825.77
Info:Generate Factor Base: Total cpu/real time for makefb: 11.67/1.07416
Info:Generate Free Relations: Total cpu/real time for freerel: 149.31/9.95524
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13059643
Info:Lattice Sieving: Average J: 3801.82 for 213836 special-q, max bucket fill: 0.722121
Info:Lattice Sieving: Total CPU time: 143762s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.92/40.1968
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.83/56.4435
Info:Filtering - Singleton removal: Total cpu/real time for purge: 127.25/49.3813
Info:Filtering - Merging: Total cpu/real time for merge: 260.92/211.726
Info:Filtering - Merging: Total cpu/real time for replay: 22.53/17.5681
Info:Linear Algebra: Total cpu/real time for bwc: 10900.9/0.000435352
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 448.17
Info:Linear Algebra: Lingen CPU time 146.03, WCT time 14.65
Info:Linear Algebra: Mksol: WCT time 253.95
Info:Quadratic Characters: Total cpu/real time for characters: 25.01/5.96261
Info:Square Root: Total cpu/real time for sqrt: 623.97/87.1313
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 158698/10839.2
Info:root: Cleaning up computation data in /tmp/cado.uy9jp03i
4222143057187434489811557581102913862043024220727 291738641802148839624037370968457337069158724194483634045050631288953385307

END:Sat 21 Aug 2021 22:42:49 AEST (1,231,762,280,998,234,574,383,738,389,455,081,251,673,919,795,221,355,534,703,854,540,872,006,451,837,652,062,059,535,596,122,937,443,409,384,048,600,262,246,658,189 - C124)

687572824907052112621905524835565527640634430747296440217665879111752619471498221390343776852068459360859662597092896029825436461169788874661711692177005593945051837069129159230234393151184903<192>

1218111230749345486979721730296509410762616526656592014786259711657427294651<76>
564458160757682151300142055991498758382137276402715304782616061647050408014822513819931418047915436234909089304508453<117>

Number: n
N=687572824907052112621905524835565527640634430747296440217665879111752619471498221390343776852068459360859662597092896029825436461169788874661711692177005593945051837069129159230234393151184903
  ( 192 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sun Jul 11 15:10:29 2021  p76 factor: 1218111230749345486979721730296509410762616526656592014786259711657427294651
Sun Jul 11 15:10:29 2021  p117 factor: 564458160757682151300142055991498758382137276402715304782616061647050408014822513819931418047915436234909089304508453
Sun Jul 11 15:10:29 2021  elapsed time 02:36:21 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 89x10^206-17 = 98(205)7
#
n: 687572824907052112621905524835565527640634430747296440217665879111752619471498221390343776852068459360859662597092896029825436461169788874661711692177005593945051837069129159230234393151184903
m: 10000000000000000000000000000000000
deg: 6
c6: 8900
c0: -17
skew: 0.35
# Murphy_E = 6.185e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8294869 hash collisions in 56377580 relations (50571257 unique)
Msieve: matrix is 2364968 x 2365195 (833.5 MB)

Sieving start time : 2021/07/10 18:41:55
Sieving end time  : 2021/07/11 12:32:48

Total sieving time: 17hrs 50min 53secs.

Total relation processing time: 1hrs 53min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 56sec.

Prototype def-par.txt line would be:
snfs,207,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

1153492230128180203999637103568049561284134945630338141711056676646318545303731352955661832367769612608058892906670814054460385966276553002319945047111733219280169006052594061459102868177871094003136462019<205>

34910466021257186525105745433552909128132452174953192677587935229897833692953907507491<86>
33041444632271939663952880655331364525621375330433468678431067921700677959874430973683570220521279535952693059948400609<119>

Number: n
N=1153492230128180203999637103568049561284134945630338141711056676646318545303731352955661832367769612608058892906670814054460385966276553002319945047111733219280169006052594061459102868177871094003136462019
  ( 205 digits)
SNFS difficulty: 208 digits.
Divisors found:

Fri Jan 10 12:57:48 2014  prp86 factor: 34910466021257186525105745433552909128132452174953192677587935229897833692953907507491
Fri Jan 10 12:57:48 2014  prp119 factor: 33041444632271939663952880655331364525621375330433468678431067921700677959874430973683570220521279535952693059948400609
Fri Jan 10 12:57:48 2014  elapsed time 25:25:11 (Msieve 1.44 - dependency 7)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.808).
Factorization parameters were as follows:
#
#  89*10^207-17 - 98(206)7
#
#  c205, diff: 208.95
#
skew: 0.286
n: 1153492230128180203999637103568049561284134945630338141711056676646318545303731352955661832367769612608058892906670814054460385966276553002319945047111733219280169006052594061459102868177871094003136462019
m: 100000000000000000000000000000000000000000
deg: 5
c5: 8900
c0: -17
# Murphy_E = 5.329e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
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, 32500000)
Primes: RFBsize:1329943, AFBsize:1330527,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8518125 hash collisions in 54020945 relations (47161037 unique)
Msieve: matrix is 3369015 x 3369240 (959.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 18hrs 47min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 6hrs 5min 17sec.

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) ----------

106000423145770646685506413453815665339037991914534101164246905851066135127607134895244563922754191250165108652017036309646915884317237501542387548222931519370100894979417739<174>

5460610873554253768591688290053965099<37>

19411825087030252755345385025680351395636520749162133365335363361162342755182520116128191574118856088635640972658233717476375124125283361<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=160323904
Step 1 took 19493ms
Step 2 took 8247ms
********** Factor found in step 2: 5460610873554253768591688290053965099
Found probable prime factor of 37 digits: 5460610873554253768591688290053965099

19411825087030252755345385025680351395636520749162133365335363361162342755182520116128191574118856088635640972658233717476375124125283361<137>

25548461213004366332586099840169941154598573403467547835244134555997<68>
759804080769822729989733104704320796491795889308671297421443741048213<69>

Number: 98887_208
N = 19411825087030252755345385025680351395636520749162133365335363361162342755182520116128191574118856088635640972658233717476375124125283361 (137 digits)
Divisors found:
r1=25548461213004366332586099840169941154598573403467547835244134555997 (pp68)
r2=759804080769822729989733104704320796491795889308671297421443741048213 (pp69)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 114.02 hours.
Factorization parameters were as follows:
# Murphy_E = 3.366e-11, selected by Erik Branger
# expecting poly E from 3.45e-011 to > 3.97e-011
n: 19411825087030252755345385025680351395636520749162133365335363361162342755182520116128191574118856088635640972658233717476375124125283361
Y0: -410961601715403626774000913
Y1: 396741029538589
c0: 62189315707901716367700577551550840
c1: -21930491705990406506849807974
c2: -25762701287767457915617
c3: -50788016179536494
c4: -750133950
c5: 1656
skew: 3189615.41
type: gnfs
# selected mechanically
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22415846
Relations: 3667480 relations
Pruned matrix : 2187131 x 2187360
Polynomial selection time: 0.00 hours.
Total sieving time: 110.33 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.44 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14500000,14500000,28,28,55,55,2.6,2.6,100000
total time: 114.02 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

30687267952592133504995528376459385391084470654280566880337596875364445021986688769636476790976174984320001931473471213408281637171856933283730200329447274440552388490599860466459402011550154312638663<200>

2705388416342727652844547854008305882723521058569723001071<58>
11343017426708966793389552635058351981480873033443344353306411995783048674178111830415266710947749500638232235984130929049815177209890545558953<143>

Number: n
N=30687267952592133504995528376459385391084470654280566880337596875364445021986688769636476790976174984320001931473471213408281637171856933283730200329447274440552388490599860466459402011550154312638663
  ( 200 digits)
SNFS difficulty: 211 digits.
Divisors found:

Wed Aug  9 07:30:03 2017  prp58 factor: 2705388416342727652844547854008305882723521058569723001071
Wed Aug  9 07:30:03 2017  prp143 factor: 11343017426708966793389552635058351981480873033443344353306411995783048674178111830415266710947749500638232235984130929049815177209890545558953
Wed Aug  9 07:30:03 2017  elapsed time 22:21:38 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.825).
Factorization parameters were as follows:
#
# 89x10^209-17 98(208)7
#
n: 30687267952592133504995528376459385391084470654280566880337596875364445021986688769636476790976174984320001931473471213408281637171856933283730200329447274440552388490599860466459402011550154312638663
m: 500000000000000000000000000000000000000000
deg: 5
c5: 1424
c0: -85
skew: 0.57
# Murphy_E = 3.769e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 34400000)
Primes: RFBsize:1507122, AFBsize:1506559,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9147550 hash collisions in 53862034 relations (46133161 unique)
Msieve: matrix is 4110055 x 4110280 (1172.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 22hrs 2min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 54sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

51234285606325032960653838803175236457506386782861379456126114424815605920149912939193589383142277391291774958956762344631052056831039258375840044065567408766682998686343<170>

5430649555937432580282436395788066452878034741107446354115960676050849481<73>
9434283151323880364619325595067753003067199771808172924540535699691344124674051069125871898205903<97>

Tue May 10 22:52:41 2022  Msieve v. 1.53 (SVN unknown)
Tue May 10 22:52:41 2022  random seeds: 86a2a7a0 586f6d30
Tue May 10 22:52:41 2022  factoring 51234285606325032960653838803175236457506386782861379456126114424815605920149912939193589383142277391291774958956762344631052056831039258375840044065567408766682998686343 (170 digits)
Tue May 10 22:52:42 2022  searching for 15-digit factors
Tue May 10 22:52:42 2022  commencing number field sieve (170-digit input)
Tue May 10 22:52:42 2022  R0: -1000000000000000000000000000000000000000000
Tue May 10 22:52:42 2022  R1: 1
Tue May 10 22:52:42 2022  A0: -17
Tue May 10 22:52:42 2022  A1: 0
Tue May 10 22:52:42 2022  A2: 0
Tue May 10 22:52:42 2022  A3: 0
Tue May 10 22:52:42 2022  A4: 0
Tue May 10 22:52:42 2022  A5: 89
Tue May 10 22:52:42 2022  skew 0.72, size 9.444e-15, alpha 0.712, combined = 4.505e-12 rroots = 1
Tue May 10 22:52:42 2022  
Tue May 10 22:52:42 2022  commencing square root phase
Tue May 10 22:52:42 2022  reading relations for dependency 1
Tue May 10 22:52:44 2022  read 2387343 cycles
Tue May 10 22:52:47 2022  cycles contain 7756068 unique relations
Tue May 10 22:53:49 2022  read 7756068 relations
Tue May 10 22:54:23 2022  multiplying 7756068 relations
Tue May 10 22:57:06 2022  multiply complete, coefficients have about 235.73 million bits
Tue May 10 22:57:07 2022  initial square root is modulo 288105541
Tue May 10 23:00:40 2022  GCD is N, no factor found
Tue May 10 23:00:40 2022  reading relations for dependency 2
Tue May 10 23:00:40 2022  read 2385971 cycles
Tue May 10 23:00:43 2022  cycles contain 7753018 unique relations
Tue May 10 23:01:45 2022  read 7753018 relations
Tue May 10 23:02:19 2022  multiplying 7753018 relations
Tue May 10 23:05:05 2022  multiply complete, coefficients have about 235.63 million bits
Tue May 10 23:05:06 2022  initial square root is modulo 285799741
Tue May 10 23:08:41 2022  GCD is N, no factor found
Tue May 10 23:08:41 2022  reading relations for dependency 3
Tue May 10 23:08:42 2022  read 2387574 cycles
Tue May 10 23:08:45 2022  cycles contain 7748942 unique relations
Tue May 10 23:09:44 2022  read 7748942 relations
Tue May 10 23:10:18 2022  multiplying 7748942 relations
Tue May 10 23:13:02 2022  multiply complete, coefficients have about 235.51 million bits
Tue May 10 23:13:03 2022  initial square root is modulo 283077631
Tue May 10 23:16:38 2022  GCD is 1, no factor found
Tue May 10 23:16:38 2022  reading relations for dependency 4
Tue May 10 23:16:39 2022  read 2385856 cycles
Tue May 10 23:16:42 2022  cycles contain 7745184 unique relations
Tue May 10 23:17:44 2022  read 7745184 relations
Tue May 10 23:18:18 2022  multiplying 7745184 relations
Tue May 10 23:21:03 2022  multiply complete, coefficients have about 235.39 million bits
Tue May 10 23:21:04 2022  initial square root is modulo 280267331
Tue May 10 23:24:38 2022  Newton iteration failed to converge
Tue May 10 23:24:38 2022  algebraic square root failed
Tue May 10 23:24:38 2022  reading relations for dependency 5
Tue May 10 23:24:39 2022  read 2388969 cycles
Tue May 10 23:24:42 2022  cycles contain 7758190 unique relations
Tue May 10 23:25:43 2022  read 7758190 relations
Tue May 10 23:26:19 2022  multiplying 7758190 relations
Tue May 10 23:29:02 2022  multiply complete, coefficients have about 235.79 million bits
Tue May 10 23:29:03 2022  initial square root is modulo 289590551
Tue May 10 23:32:38 2022  sqrtTime: 2396
Tue May 10 23:32:38 2022  p73 factor: 5430649555937432580282436395788066452878034741107446354115960676050849481
Tue May 10 23:32:38 2022  p97 factor: 9434283151323880364619325595067753003067199771808172924540535699691344124674051069125871898205903
Tue May 10 23:32:38 2022  elapsed time 00:39:57

427328355247207427258777311841379596472135702010418615179586194113109485769599727321815901794008228222359740489586251958098052078580135891689264623544863982271144568569<168>

19104280793200178732660658994493385480051230961428027658554620331354716568116269559302315898410060023615315158909356373279239385168061543277358107807013275079218973<164>

449340866571985522133634985483569618001<39>
24921555605452897797714851192716946358627746303<47>
1706002356284525284877319845589313204600935610509325770661725992578072974683891<79>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2520758523
Step 1 took 7832ms
Step 2 took 5662ms
********** Factor found in step 2: 449340866571985522133634985483569618001
Found probable prime factor of 39 digits: 449340866571985522133634985483569618001
Composite cofactor 42516232585178462798156200561103732363751975921642941557302664171661296980706935465720189524232201109845804602441003168904973 has 125 digits

N = 42516232585178462798156200561103732363751975921642941557302664171661296980706935465720189524232201109845804602441003168904973 (125 digits)
Divisors found:
r1=24921555605452897797714851192716946358627746303 (pp47)
r2=1706002356284525284877319845589313204600935610509325770661725992578072974683891 (pp79)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 15.03 hours.
Factorization parameters were as follows:
n: 42516232585178462798156200561103732363751975921642941557302664171661296980706935465720189524232201109845804602441003168904973
Y0: -1356978194879667102599979
Y1: 37506964372817
c0: 1331174729136494711785521714200
c1: 114235462551284105948359630
c2: -1626874147085487834849
c3: -3536465156446396
c4: 14208046288
c5: 9240
skew: 309874.99 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11265970
Relations: 1636736 relations
Pruned matrix : 951635 x 951871
Polynomial selection time: 0.00 hours.
Total sieving time: 14.21 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.71 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 15.03 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

7437462102809214649334900834603804388415879011019353693183124602974478711120027572879804236680089404179272822569282571661790553445086681475386071295811414440599<160>

366118240132160502152027909866247369294039297606097536264466676558809531460634178216333656685199827842699969947636306003493107545045888050558761925755079581023531254608610512947916948857183185508257<198>

69100746657988497471250328718378448384259430517458926377556188806763110997572875923638971703000207176095078276714898662862305137825976516700918483992509238490073676498239910622954967629207461889863<197>

366234275939953867956737545883654891<36>
188679081117240775382306367966267452613062025285457617693963154242554679317862820406178833610346026936313631572414298442023660035195587026557013339152066528835093<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=344421
Step 1 took 26708ms
Step 2 took 9983ms
********** Factor found in step 2: 366234275939953867956737545883654891
Found probable prime factor of 36 digits: 366234275939953867956737545883654891

240621321413642652980051620197717782387170256143575009135337369361547903162439664324686356685813822671900165420432581150440247444774065953887941849236508369168029838931163870135316040754430690320559547<201>

143114634437165766299492858545774204350887573840587997162600060339279649587346798648757586579577843882583992704972876850195875782333288603428425233034049679306439377035996058240186520964881<189>

252235689973824554381088347139155776510711064034822457093464285919121443577389333563806579516944424266902254758191129095317031079501562822008558440011497199<156>

5152132398585816389107903219720649<34>
48957532621455825677939947229216707462991846867650869637141292635568132771324382816045352724963154830939052602364488840951<122>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1665058386
Step 1 took 7941ms
Step 2 took 5647ms
********** Factor found in step 2: 5152132398585816389107903219720649
Found probable prime factor of 34 digits: 5152132398585816389107903219720649
Probable prime cofactor 48957532621455825677939947229216707462991846867650869637141292635568132771324382816045352724963154830939052602364488840951 has 122 digits

GMP-ECM 6.3

729972176212781952232145077051926085724933587626637261155409693014184258576608426533834034654581633937160466779474646490129638769943238725853<141>

1423788171147592028633402473037788746016857217<46>
512697177154109068505072719254362666908848621367647758758436930230340494917079354167731281327709<96>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1299065095
Step 1 took 16115ms
Step 2 took 9719ms
********** Factor found in step 2: 1423788171147592028633402473037788746016857217
Found probable prime factor of 46 digits: 1423788171147592028633402473037788746016857217
Probable prime cofactor 512697177154109068505072719254362666908848621367647758758436930230340494917079354167731281327709 has 96 digits

GMP-ECM 6.3

764410047867131199182411214839227707606998191400629353497726677490167825386076360924052275386168145896838320744985017780790663821097246047717924037813025811835834227070178681092517469946811265511<195>

618117456771492820669829092822493918081569<42>

1236674420845098673276101024371870162725803300589499507582613403183918356113921089129969207017242962596086539984503845636044793578012604543044377226605319<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3420186755
Step 1 took 98092ms
Step 2 took 32609ms
********** Factor found in step 2: 618117456771492820669829092822493918081569
Found probable prime factor of 42 digits: 618117456771492820669829092822493918081569

1236674420845098673276101024371870162725803300589499507582613403183918356113921089129969207017242962596086539984503845636044793578012604543044377226605319<154>

133228035259085057439286103777986483183597535867449<51>
9282388788817386976784300332198092701913095252070846023400296727620974651833083669529563078020093005631<103>

Number: 98887_220
N = 1236674420845098673276101024371870162725803300589499507582613403183918356113921089129969207017242962596086539984503845636044793578012604543044377226605319 (154 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=133228035259085057439286103777986483183597535867449 (pp51)
r2=9282388788817386976784300332198092701913095252070846023400296727620974651833083669529563078020093005631 (pp103)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 134.67 hours.
Factorization parameters were as follows:
n: 1236674420845098673276101024371870162725803300589499507582613403183918356113921089129969207017242962596086539984503845636044793578012604543044377226605319
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 89
c0: -17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 134217728
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/134217728
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 25660318
Relations: 8534230 relations
Total pre-computation time approximately 800 CPU-days.
Pre-computation saved approximately 16 G rational relations.
Total batch smoothness checking time: 71.93 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 7430089 x 7430314
Matrix solve time: 62.14 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,134217728,29,27,58,54,2.8,2.8,100000
total time: 134.67 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

10318897774365007087582899184704737546431748914679224693602369952708195265018377378400214018965603101077929591651161716532343602202424558509594052025404550321491072804970440326418932765004145741375771<200>

68850855827601067861084583668885679200159352648582626912878472787291<68>
149873195479268782721535993883862532462396648724236040850959435867999593851329903105586530392814190910840514459886825705879306217281<132>

Number: 98887_221
N = 10318897774365007087582899184704737546431748914679224693602369952708195265018377378400214018965603101077929591651161716532343602202424558509594052025404550321491072804970440326418932765004145741375771 (200 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=68850855827601067861084583668885679200159352648582626912878472787291 (pp68)
r2=149873195479268782721535993883862532462396648724236040850959435867999593851329903105586530392814190910840514459886825705879306217281 (pp132)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 97.35 hours.
Factorization parameters were as follows:
n: 10318897774365007087582899184704737546431748914679224693602369952708195265018377378400214018965603101077929591651161716532343602202424558509594052025404550321491072804970440326418932765004145741375771
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 890
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
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8836154 relations
Pruned matrix : 7675293 x 7675519
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 51.23 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 45.15 hours.
time per square root: 0.55 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 97.35 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

10065770721937604694710389543147529976181037623906002882483641097830105892506286099545769576163364256770972273661844940930804123953095930101868493897837485165571812276298049935267724043286004840552006970441721883959<215>

738863333538311852683004074224338451672449049886644934958003905856615017133<75>
13623318772274236982221848266275489160033997975873181347079790612701995789661349513143046564680153078713862864657905458896697764744615950323<140>

Number: n
N=10065770721937604694710389543147529976181037623906002882483641097830105892506286099545769576163364256770972273661844940930804123953095930101868493897837485165571812276298049935267724043286004840552006970441721883959
  ( 215 digits)
SNFS difficulty: 223 digits.
Divisors found:

Tue Aug 20 07:11:19 2019  p75 factor: 738863333538311852683004074224338451672449049886644934958003905856615017133
Tue Aug 20 07:11:19 2019  p140 factor: 13623318772274236982221848266275489160033997975873181347079790612701995789661349513143046564680153078713862864657905458896697764744615950323
Tue Aug 20 07:11:19 2019  elapsed time 11:02:00 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 89x10^222-17 = 98(221)7
#
n: 10065770721937604694710389543147529976181037623906002882483641097830105892506286099545769576163364256770972273661844940930804123953095930101868493897837485165571812276298049935267724043286004840552006970441721883959
m: 10000000000000000000000000000000000000
deg: 6
c6: 89
c0: -17
skew: 0.76
# Murphy_E = 1.817e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 95000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13167499 hash collisions in 69497768 relations (57193613 unique)
Msieve: matrix is 4824700 x 4824925 (1683.5 MB)

Sieving start time: 2019/08/17 22:20:46
Sieving end time  : 2019/08/19 20:06:36

Total sieving time: 45hrs 45min 50secs.

Total relation processing time: 10hrs 19min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 35sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284080K/16703460K available (12300K kernel code, 2478K rwdata, 4280K rodata, 2424K init, 2384K bss, 419380K reserved, 0K cma-reserved)
[    0.072549] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977052)
[    0.070220] smpboot: Total of 16 processors activated (95816.41 BogoMIPS)

941756279099199621297546507173828210536856809636705890822891505575545542685944889810329406101221830149911067278388125618808590762942068342994473818654262947169694333420994378805716233360093091150438193<201>

17138455613325630656653186982476410552667051800500673984209512805699980743308299634122857693048334296167918351627190448680916618524937415751973810899287502407086462545734642788368958212979010206046601193914885422684382823031<224>

8066240940664696042549750886910490989276231810972817629557<58>
15717892705247247038036034669493497655747969875412653841200658499<65>
135178048939843409424837748788732258173041889779300246290579997087686501670009574312756114002801023017<102>

Number: n
N=17138455613325630656653186982476410552667051800500673984209512805699980743308299634122857693048334296167918351627190448680916618524937415751973810899287502407086462545734642788368958212979010206046601193914885422684382823031
  ( 224 digits)
SNFS difficulty: 226 digits.
Divisors found:

Tue Sep 25 14:47:42 2018  found factor: 135178048939843409424837748788732258173041889779300246290579997087686501670009574312756114002801023017
Tue Sep 25 15:10:18 2018  found factor: 135178048939843409424837748788732258173041889779300246290579997087686501670009574312756114002801023017
Tue Sep 25 15:38:59 2018  p58 factor: 8066240940664696042549750886910490989276231810972817629557
Tue Sep 25 15:38:59 2018  p65 factor: 15717892705247247038036034669493497655747969875412653841200658499
Tue Sep 25 15:38:59 2018  p102 factor: 135178048939843409424837748788732258173041889779300246290579997087686501670009574312756114002801023017
Tue Sep 25 15:38:59 2018  elapsed time 27:54:02 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.757).
Factorization parameters were as follows:
#
# N = 89x10^225-17 = 98(224)7
#
n: 17138455613325630656653186982476410552667051800500673984209512805699980743308299634122857693048334296167918351627190448680916618524937415751973810899287502407086462545734642788368958212979010206046601193914885422684382823031
m: 10000000000000000000000000000000000000
deg: 6
c6: 89000
c0: -17
skew: 0.24
# Murphy_E = 9.169e-13
type: snfs
lss: 1
rlim: 42000000
alim: 42000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 42000000/42000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 104200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 20297134 hash collisions in 105892563 relations (87203552 unique)
Msieve: matrix is 7174688 x 7174913 (2521.6 MB)

Sieving start time: 2018/09/22 04:45:02
Sieving end time  : 2018/09/24 11:41:29

Total relation processing time: 26hrs 4min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 13min 0sec.

Prototype def-par.txt line would be:
snfs,226,6,0,0,0,0,0,0,0,0,42000000,42000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285124K/16703460K available (12300K kernel code, 2471K rwdata, 4244K rodata, 2408K init, 2416K bss, 418336K reserved, 0K cma-reserved)
[    0.076545] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.34 BogoMIPS (lpj=11976684)
[    0.074210] smpboot: Total of 16 processors activated (95813.47 BogoMIPS)

459899986137074043177906296812042244970465769438931352183843978686000812535874504978363025477219286115826991029570565772296515714759989639899474831139293907191785181732893<171>

7570565222284432698801367143760322294438565334743046966478625754938919221012243138412471075680766383924959675633416513428046203879311814011029786364581568778316151520299798731870820074965102249081196839269827<208>

73771590690143778424768061133334660578461953745902691363517850879017479284912647439464225823225973929058605462209816639623647228555457011724643151449405179174356992919219166629665591445382630051939854219079<206>

4664630114075497588664259817<28>

15815099779838572753960826179980321185290658865189800197333032878567165833914419825107631187617531430984698924118374225204187478462135551103913232151092567889764710485735293095087<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3436648545
Step 1 took 26664ms
Step 2 took 10298ms
********** Factor found in step 2: 4664630114075497588664259817
Found probable prime factor of 28 digits: 4664630114075497588664259817

143737676438933214045159654919613011660694632311062648857669377586669945600639622725558063975997768826084880917653559242964862541441048793301151243579679425618758231759037206418537478321439<189>

29085768468984201568082411447182797735224458529871558651779801159028885905805161426067070792100803237617833564624876338874407384089511071709565068358622179594073932302839547234063860435438375746774173128659297890427<215>

1394355681357870410543392899579166483646889421187883180135443112780824469133704984791651889365670096504466959671233282242903427408326537283264623981355526243525439263167188404514019807054601774403981704784953<208>

34021097338721067211701465451887194038093973143875729050613870755357312710065224597976610908419911578862209047418486970258018945615169654095538634226258317016298999329818785784054356783964873652773624050261408364332955855879277<227>

243602473212986774247627678617364818444814142482131961442250209079694253970730038147537389235172886662124642256397096066458444070026021420111696174703319640073157918915011134598304347672436434500476047457400742433<213>

19359159406703004356573390862810053611691<41>
12583318732766916210305054843538707120842749183365207307496515423061560121077285244237846311428917124006782484287339728607778172624860801459957877971311844407153211353124963<173>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1396411233
Step 1 took 118060ms
Step 2 took 38865ms
********** Factor found in step 2: 19359159406703004356573390862810053611691
Found probable prime factor of 41 digits: 19359159406703004356573390862810053611691

911572911694849423257395407437698941121719699628040047905348381509311324497219476774581238793561766191935984507537724197939232929359964819185226524163197857753674642844632140789375784460342624265739670351001631040538283435629687<228>

7421994129182812487801660511467<31>

122820484067833234608039745195722049799711085508398428702028736360094311950172632415114034345268223057607862429225071464460946157622052635158835527249022481544662690357129326524451390271651352650661<198>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2622039859
Step 1 took 30659ms
Step 2 took 11404ms
********** Factor found in step 2: 7421994129182812487801660511467
Found probable prime factor of 31 digits: 7421994129182812487801660511467

197601511078994997675111090054126507945850964680423181920228212036161782848240403194670509120577548800733699758115079795945213774867170920006808740593227503406871767612644291177178767412260804884448967017048015434742772375233<225>

103533944286327949902839749089390025159949918989283145536687481158544461852215396495886064257213202817853232172232044861730376023192765031530187159422425007386776661582489258731035239557407327290804151961982410497993<216>

16291944921117123220188004277629313050360583<44>

6354916174073876348609304554428125293732369023703712811683696946114662200323040580650858857696434996862552437587282876943466365694082180808981203000024473419719597166660271<172>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3392241177
Step 1 took 127683ms
Step 2 took 34591ms
********** Factor found in step 2: 16291944921117123220188004277629313050360583
Found probable prime factor of 44 digits: 16291944921117123220188004277629313050360583

197129015669620718827574995244357730740414553653409503332101845737658891839032869833218384134356868978795425721138601575627319530687548754321951<144>

153394781190691102106037953227668924531414951155291<51>
1285109011789402828790194945523326508133917002396523221786068646310392501998648840054322501261<94>

Number: 98887_238
N = 197129015669620718827574995244357730740414553653409503332101845737658891839032869833218384134356868978795425721138601575627319530687548754321951 (144 digits)
Divisors found:
r1=153394781190691102106037953227668924531414951155291 (pp51)
r2=1285109011789402828790194945523326508133917002396523221786068646310392501998648840054322501261 (pp94)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 403.49 hours.
Factorization parameters were as follows:
# Murphy_E = 1.288e-11, selected by Rich Dickerson
# expecting poly E from 1.30e-11 to > 1.49e-11
n: 197129015669620718827574995244357730740414553653409503332101845737658891839032869833218384134356868978795425721138601575627319530687548754321951
Y0: -4074412492379902143601578208
Y1: 66628677377167
c0: -32389577415359575356912396693310575
c1: 429289877245734636291416252169
c2: -430876226366702783818011
c3: -2143938303792317273
c4: 184365669010
c5: 175560
skew: 1112684.44
type: gnfs
# selected mechanically
rlim: 22000000
alim: 22000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23810203
Relations: 4477452 relations
Pruned matrix : 2797515 x 2797741
Polynomial selection time: 0.00 hours.
Total sieving time: 398.84 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 3.62 hours.
time per square root: 0.87 hours.
Prototype def-par.txt line would be: gnfs,143,5,65,2000,1e-05,0.28,250,20,50000,3600,22000000,22000000,28,28,56,56,2.6,2.6,100000
total time: 403.49 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve