42753150432087633563269806313292842264358298521714558766823452062563630797240050069307805296959170412010015283803100927<119>

14605153717126806279150957554605672217739146622139<50>
2927264666988950529424877716042538664876915437450385858565497463678093<70>

Number: 97777_171
N=42753150432087633563269806313292842264358298521714558766823452062563630797240050069307805296959170412010015283803100927
  ( 119 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=14605153717126806279150957554605672217739146622139 (pp50)
 r2=2927264666988950529424877716042538664876915437450385858565497463678093 (pp70)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 385.43 hours.
Scaled time: 235.50 units (timescale=0.611).
Factorization parameters were as follows:
name: 97777_171
n: 42753150432087633563269806313292842264358298521714558766823452062563630797240050069307805296959170412010015283803100927
m: 20000000000000000000000000000000000
c5: 55
c0: -14
skew: 3
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 11300001)
Primes: RFBsize:501962, AFBsize:502197, largePrimes:6536889 encountered
Relations: rels:7002442, finalFF:1146396
Max relations in full relation-set: 28
Initial matrix: 1004225 x 1146396 with sparse part having weight 71985085.
Pruned matrix : 881319 x 886404 with weight 54141652.
Total sieving time: 331.63 hours.
Total relation processing time: 1.33 hours.
Matrix solve time: 52.03 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 385.43 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin

688163819527083135311939556468831476441540566623538494857451413207822870790582792116769622658696546336864308406440040470289417239092533<135>

847250247643630002442303876706313989731859364125674381482827<60>
812232066548227525433564552691253952015376408428214775625669671031466039679<75>

N=688163819527083135311939556468831476441540566623538494857451413207822870790582792116769622658696546336864308406440040470289417239092533
  ( 135 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=847250247643630002442303876706313989731859364125674381482827 (pp60)
 r2=812232066548227525433564552691253952015376408428214775625669671031466039679 (pp75)
Version: Msieve-1.40
Total time: 72.94 hours.
Scaled time: 137.71 units (timescale=1.888).
Factorization parameters were as follows:
n: 688163819527083135311939556468831476441540566623538494857451413207822870790582792116769622658696546336864308406440040470289417239092533
m: 20000000000000000000000000000000000
deg: 5
c5: 2750
c0: -7
skew: 0.30
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 240000Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 6740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1045940 x 1046168
Total sieving time: 71.12 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.20 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 72.94 hours.
 --------- CPU info (if available) ----------

71819771592998423785419937977923329581187060910785689823363659725215462086250189106716201938288206164001246362611279092920501<125>

173757058143498816926924955673<30>
465925434517972487069313694967<30>
412578114115540514069896286025893<33>
2150200504074416197658991311110927<34>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 71819771592998423785419937977923329581187060910785689823363659725215462086250189106716201938288206164001246362611279092920501 (125 digits)
Using B1=896000, B2=717948897, polynomial Dickson(3), sigma=666709349
Step 1 took 7360ms
********** Factor found in step 1: 173757058143498816926924955673
Found probable prime factor of 30 digits: 173757058143498816926924955673
Composite cofactor 413334412773525577057328855592468618910643274877043425446083666309538646061704850258226977962237 has 96 digits


GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 413334412773525577057328855592468618910643274877043425446083666309538646061704850258226977962237 (96 digits)
Using B1=990000, B2=827613091, polynomial Dickson(3), sigma=1947736643
Step 1 took 5615ms
Step 2 took 3634ms
********** Factor found in step 2: 465925434517972487069313694967
Found probable prime factor of 30 digits: 465925434517972487069313694967
Composite cofactor 887125668941307222075306021453783660745572662355386593335717232811 has 66 digits


Mon Feb 11 06:22:58 2008  
Mon Feb 11 06:22:58 2008  
Mon Feb 11 06:22:58 2008  Msieve v. 1.33
Mon Feb 11 06:22:58 2008  random seeds: f030e4b0 d80df55c
Mon Feb 11 06:22:58 2008  factoring 887125668941307222075306021453783660745572662355386593335717232811 (66 digits)
Mon Feb 11 06:22:59 2008  searching for 15-digit factors
Mon Feb 11 06:22:59 2008  commencing quadratic sieve (66-digit input)
Mon Feb 11 06:22:59 2008  using multiplier of 5
Mon Feb 11 06:22:59 2008  using 64kb Opteron sieve core
Mon Feb 11 06:22:59 2008  sieve interval: 6 blocks of size 65536
Mon Feb 11 06:22:59 2008  processing polynomials in batches of 17
Mon Feb 11 06:22:59 2008  using a sieve bound of 155723 (7152 primes)
Mon Feb 11 06:22:59 2008  using large prime bound of 10744887 (23 bits)
Mon Feb 11 06:22:59 2008  using trial factoring cutoff of 23 bits
Mon Feb 11 06:22:59 2008  polynomial 'A' values have 8 factors
Mon Feb 11 06:23:19 2008  7620 relations (3524 full + 4096 combined from 38633 partial), need 7248
Mon Feb 11 06:23:19 2008  begin with 42156 relations
Mon Feb 11 06:23:19 2008  reduce to 11198 relations in 2 passes
Mon Feb 11 06:23:19 2008  attempting to read 11198 relations
Mon Feb 11 06:23:19 2008  recovered 11198 relations
Mon Feb 11 06:23:19 2008  recovered 8834 polynomials
Mon Feb 11 06:23:19 2008  attempting to build 7620 cycles
Mon Feb 11 06:23:19 2008  found 7620 cycles in 1 passes
Mon Feb 11 06:23:19 2008  distribution of cycle lengths:
Mon Feb 11 06:23:19 2008     length 1 : 3524
Mon Feb 11 06:23:19 2008     length 2 : 4096
Mon Feb 11 06:23:19 2008  largest cycle: 2 relations
Mon Feb 11 06:23:19 2008  matrix is 7152 x 7620 (0.9 MB) with weight 214931 (28.21/col)
Mon Feb 11 06:23:19 2008  sparse part has weight 214931 (28.21/col)
Mon Feb 11 06:23:19 2008  filtering completed in 3 passes
Mon Feb 11 06:23:19 2008  matrix is 6581 x 6645 (0.8 MB) with weight 181829 (27.36/col)
Mon Feb 11 06:23:19 2008  sparse part has weight 181829 (27.36/col)
Mon Feb 11 06:23:19 2008  commencing Lanczos iteration
Mon Feb 11 06:23:19 2008  memory use: 1.1 MB
Mon Feb 11 06:23:20 2008  lanczos halted after 105 iterations (dim = 6578)
Mon Feb 11 06:23:20 2008  recovered 64 nontrivial dependencies
Mon Feb 11 06:23:20 2008  prp33 factor: 412578114115540514069896286025893
Mon Feb 11 06:23:20 2008  prp34 factor: 2150200504074416197658991311110927
Mon Feb 11 06:23:20 2008  elapsed time 00:00:22

42382461365925566589361872338864222772993946721282262886407213633419478007736146697727909341560887486488960796728980373896239574744433823648184301<146>

20292352672206459109016631502080811074600721<44>
2088592784215452530650467905987598325740377245464821536672761409128088329733169640070147456989014237981<103>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=642092294
Step 1 took 48735ms
Step 2 took 18658ms
********** Factor found in step 2: 20292352672206459109016631502080811074600721
Found probable prime factor of 44 digits: 20292352672206459109016631502080811074600721
Probable prime cofactor 2088592784215452530650467905987598325740377245464821536672761409128088329733169640070147456989014237981 has 103 digits

GMP-ECM 6.3

32373009827930350014676471745745241976627884213958865244146718439713608798467274529860029091993147582638115847262816389567697238521630252572435781299<149>

483837028000335059458045018375632652098784185558689<51>
66908913444937768488440760374365433480961189177572077447304962765045501277906686587410588521185491<98>

r1=483837028000335059458045018375632652098784185558689 (pp51)
r2=66908913444937768488440760374365433480961189177572077447304962765045501277906686587410588521185491 (pp98)


Version: Msieve v. 1.52 (SVN 945M)
Total time: 17.48 hours.

MSieve V1.52 (SVN 945)

7723521541603016153290449403338136342831867002879275521735182214492346047950103892805069193131361200376067443968141373652320726537690580756448545756112756524905015354529<169>

655692917107822761590475116126063944023252289<45>
11779174885204613225844134438286292011915498304031267538521987145114940031890805483240141388744300422365986708754870231224161<125>

N=7723521541603016153290449403338136342831867002879275521735182214492346047950103892805069193131361200376067443968141373652320726537690580756448545756112756524905015354529
  ( 169 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=655692917107822761590475116126063944023252289 (pp45)
 r2=11779174885204613225844134438286292011915498304031267538521987145114940031890805483240141388744300422365986708754870231224161 (pp125)
Version: Msieve v. 1.46
Total time:
Scaled time: 18.78 units (timescale=0.537).
Factorization parameters were as follows:
n: 7723521541603016153290449403338136342831867002879275521735182214492346047950103892805069193131361200376067443968141373652320726537690580756448545756112756524905015354529
m: 200000000000000000000000000000000000
deg: 5
c5: 27500
c0: -7
skew: 0.19
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 10450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1469154 x 1469382
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time:

35736479953497953050484120537533569675183802184143218928232700056935711420787016531769120677163813096375546384933913548451753929407194219824982671672376372257406033<164>

124351361086911572799915477614581144823<39>
287383102534125345142976854303748763248258465171827406696111681024528845004655105196627686510192944024625590018458282356033271<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2122752395
Step 1 took 21825ms
Step 2 took 11669ms
********** Factor found in step 2: 124351361086911572799915477614581144823
Found probable prime factor of 39 digits: 124351361086911572799915477614581144823
Probable prime cofactor 287383102534125345142976854303748763248258465171827406696111681024528845004655105196627686510192944024625590018458282356033271 has 126 digits

GMP-ECM 6.3

142708694217422199534850030122643805499631928056170315471407324815022708521964769226911700650796214324193854708645641470420730443346540541244548607710671601693<159>

100708679962127850692416840922342871838717<42>
1417044630821183689120132994051587419028357966134602649225893703413584563749225025644693390913742174432194287150381729<118>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1382865908
Step 1 took 89748ms
********** Factor found in step 1: 100708679962127850692416840922342871838717
Found probable prime factor of 42 digits: 100708679962127850692416840922342871838717
Probable prime cofactor 1417044630821183689120132994051587419028357966134602649225893703413584563749225025644693390913742174432194287150381729 has 118 digits

GMP-ECM 6.3

360737056395874054311912355711106759965084021639213700044316736185643175935512209993722798991882882388147526680841359204222388823<129>

319127484177447982424141312841577<33>
1130385423636183718748628040572882785884593902791426607982038309444292046269569228004421072395199<97>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 360737056395874054311912355711106759965084021639213700044316736185643175935512209993722798991882882388147526680841359204222388823 (129 digits)
Using B1=640000, B2=522408822, polynomial Dickson(3), sigma=3705657342
Step 1 took 6324ms
Step 2 took 2727ms
********** Factor found in step 2: 319127484177447982424141312841577
Found probable prime factor of 33 digits: 319127484177447982424141312841577
Probable prime cofactor 1130385423636183718748628040572882785884593902791426607982038309444292046269569228004421072395199 has 97 digits

9183680055903094924298360829964704420218821222150018490715021659276016173670052180974121555249467318600924186201529936244612006367342465042476161141852858123829707741<166>

85087493115333309653231750476090996955933037071<47>
168668717653819127739536411802019698484733540675829905313541<60>
639906429274672269920731909161084129058723502593807639207031<60>

N=9183680055903094924298360829964704420218821222150018490715021659276016173670052180974121555249467318600924186201529936244612006367342465042476161141852858123829707741
  ( 166 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=85087493115333309653231750476090996955933037071 (pp47)
 r2=168668717653819127739536411802019698484733540675829905313541 (pp60)
 r3=639906429274672269920731909161084129058723502593807639207031 (pp60)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 191.47 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 9183680055903094924298360829964704420218821222150018490715021659276016173670052180974121555249467318600924186201529936244612006367342465042476161141852858123829707741
m: 10000000000000000000000000000000000000
deg: 5
c5: 88
c0: -7
skew: 0.60
# Murphy_E = 5.687e-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, 13550001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1818087 x 1818311
Total sieving time: 186.99 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.17 hours.
Time per square root: 1.05 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: 191.47 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

2313171937018636805719843335173356465052703519701390531766685066897983860368530347238651000184002313171937018636805719843335173356465052703519701390531766685066897983860368530347238651<184>

558420727813527386131594937710331258974213667<45>
4142346123281926087234853809987716740634386737763126789276317393359104216309692071188150104114601670997665342345732871848423998398042842953<139>

Number: 97777_186
N=2313171937018636805719843335173356465052703519701390531766685066897983860368530347238651000184002313171937018636805719843335173356465052703519701390531766685066897983860368530347238651
  ( 184 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=558420727813527386131594937710331258974213667 (pp45)
 r2=4142346123281926087234853809987716740634386737763126789276317393359104216309692071188150104114601670997665342345732871848423998398042842953 (pp139)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 1038.03 hours.
Scaled time: 2089.55 units (timescale=2.013).
Factorization parameters were as follows:
n: 2313171937018636805719843335173356465052703519701390531766685066897983860368530347238651000184002313171937018636805719843335173356465052703519701390531766685066897983860368530347238651

m: 20000000000000000000000000000000000000

c5: 55

c0: -14

skew: 0.76

type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 18500001)
Primes: RFBsize:501962, AFBsize:502197, largePrimes:7109241 encountered
Relations: rels:7656762, finalFF:1148858
Max relations in full relation-set: 32
Initial matrix: 1004225 x 1148858 with sparse part having weight 131543991.
Pruned matrix : 898696 x 903781 with weight 111532419.
Total sieving time: 1027.27 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 10.30 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 1038.03 hours.
 --------- CPU info (if available) ----------

10341025046522065860276389891746768448940042167292948665025601049068726392239411415202806030029635221040801525305942822671520553672639132072330819386887<152>

84710202246269141682155037782093871221661120896243872947959803268038596757<74>
122075320000519908843729800811799139973203534865082762882135446655600920226091<78>

N=10341025046522065860276389891746768448940042167292948665025601049068726392239411415202806030029635221040801525305942822671520553672639132072330819386887
  ( 152 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=84710202246269141682155037782093871221661120896243872947959803268038596757 (pp74)
 r2=122075320000519908843729800811799139973203534865082762882135446655600920226091 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 211.44 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 10341025046522065860276389891746768448940042167292948665025601049068726392239411415202806030029635221040801525305942822671520553672639132072330819386887
m: 20000000000000000000000000000000000000
deg: 5
c5: 275
c0: -7
skew: 0.48
# Murphy_E = 4.979e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4950000, 14550001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2100024 x 2100249
Total sieving time: 206.68 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.25 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 211.44 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

4175790133080779123978122883855095436861304763489922833809130167708776786816144504575317265477344796685191532383197820456711603049819280521<139>

158392059216237660153957382574225912166747412809263226700963<60>
26363633087060057676722314640436613271792089024755583229070839276185399386532067<80>

N=4175790133080779123978122883855095436861304763489922833809130167708776786816144504575317265477344796685191532383197820456711603049819280521
  ( 139 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=158392059216237660153957382574225912166747412809263226700963 (pp60)
 r2=26363633087060057676722314640436613271792089024755583229070839276185399386532067 (pp80)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 247.35 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4175790133080779123978122883855095436861304763489922833809130167708776786816144504575317265477344796685191532383197820456711603049819280521
m: 20000000000000000000000000000000000000
deg: 5
c5: 2750
c0: -7
skew: 0.30
# Murphy_E = 3.854e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5150000, 16350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1959550 x 1959780
Total sieving time: 243.14 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.71 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 247.35 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

8261612015604462291018080757330320984759893342585191883786039483696212432970032054795776662552835546015317668372184353652473735451632982593082884338437784444213<160>

254611951752106146212332618465098148478171<42>
32447856272073537339090523974702662354873583882510009105461450050780097279760170031276142691114074443746651041965990703<119>

N=8261612015604462291018080757330320984759893342585191883786039483696212432970032054795776662552835546015317668372184353652473735451632982593082884338437784444213
  ( 160 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=254611951752106146212332618465098148478171 (pp42)
 r2=32447856272073537339090523974702662354873583882510009105461450050780097279760170031276142691114074443746651041965990703 (pp119)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 609.31 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 8261612015604462291018080757330320984759893342585191883786039483696212432970032054795776662552835546015317668372184353652473735451632982593082884338437784444213
m: 100000000000000000000000000000000000000
deg: 5
c5: 44
c0: -35
skew: 0.96
# Murphy_E = 3.456e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5450000, 19050001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2124129 x 2124355
Total sieving time: 597.84 hours.
Total relation processing time: 0.53 hours.
Matrix solve time: 8.94 hours.
Time per square root: 2.00 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 609.31 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

6338577656753306389638288038296478258138443424665633039591550976964948978986424554633090099010628370660221278462022331222827989924461242896132198564559<151>

293376466635119374861019145291330139634315730428775891298975581042275360761<75>
21605610461717009638059671966240988263450451517758959520906353283893563194119<77>

N=6338577656753306389638288038296478258138443424665633039591550976964948978986424554633090099010628370660221278462022331222827989924461242896132198564559
  ( 151 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=293376466635119374861019145291330139634315730428775891298975581042275360761 (pp75)
 r2=21605610461717009638059671966240988263450451517758959520906353283893563194119 (pp77)
Version: Msieve-1.40
Total time: 1.69 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6338577656753306389638288038296478258138443424665633039591550976964948978986424554633090099010628370660221278462022331222827989924461242896132198564559
m: 100000000000000000000000000000000000000
deg: 5
c5: 880
c0: -7
skew: 0.38
# Murphy_E = 3.124e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 20950001)
Primes: , , 
Relations: 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 1.69 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 1.69 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

646339497334378742638286376910119976227672086987747631040616910374297781024420784435780689367978249313523019065955741707403890294330494162380153<144>

18366535073149532144552799837541<32>
35191150359072223380378605356328279445463560817952105212736869086800146064986873859220813359328377257541095219333<113>

Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=3471660470
Step 1 took 76727ms
Step 2 took 42935ms
********** Factor found in step 2: 18366535073149532144552799837541
Found probable prime factor of 32 digits: 18366535073149532144552799837541
Probable prime cofactor 35191150359072223380378605356328279445463560817952105212736869086800146064986873859220813359328377257541095219333 has 113 digits

GMP-ECM 6.2.1

352341976611684893543759666113826069707819825212881772434625883966407049474691313465707556479437877656205755042488857704107285273453247377710351689<147>

1251367496150582350597349536812339736360292793227080553<55>
281565549445345423340806756228814103113063828727070219985245297436086549889452873758832076513<93>

p55 factor: 1251367496150582350597349536812339736360292793227080553
p93 factor: 281565549445345423340806756228814103113063828727070219985245297436086549889452873758832076513


Msieve v. 1.54 (SVN 1034)
random seeds: d1d36637 c827267c
factoring 352341976611684893543759666113826069707819825212881772434625883966407049474691313465707556479437877656205755042488857704107285273453247377710351689 (147 digits)
searching for 15-digit factors
commencing number field sieve (147-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 2750
skew 1.00, size 1.077e-13, alpha 0.223, combined = 2.063e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2004265 hash collisions in 34211139 relations
added 725070 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 34936209 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1142.2 MB
keeping 38719077 ideals with weight <= 200, target excess is 184304
commencing in-memory singleton removal
begin with 34936209 relations and 38719077 unique ideals
reduce to 11921731 relations and 11453824 ideals in 16 passes
max relations containing the same ideal: 97
removing 1073495 relations and 946438 ideals in 127057 cliques
commencing in-memory singleton removal
begin with 10848236 relations and 11453824 unique ideals
reduce to 10757536 relations and 10415275 ideals in 9 passes
max relations containing the same ideal: 93
removing 819374 relations and 692317 ideals in 127057 cliques
commencing in-memory singleton removal
begin with 9938162 relations and 10415275 unique ideals
reduce to 9879047 relations and 9663040 ideals in 8 passes
max relations containing the same ideal: 86
relations with 0 large ideals: 3758
relations with 1 large ideals: 8414
relations with 2 large ideals: 75330
relations with 3 large ideals: 377764
relations with 4 large ideals: 1151423
relations with 5 large ideals: 2208121
relations with 6 large ideals: 2800303
relations with 7+ large ideals: 3253934
commencing 2-way merge
reduce to 5987652 relation sets and 5771646 unique ideals
ignored 1 oversize relation sets
commencing full merge
memory use: 646.3 MB
found 2753219 cycles, need 2741846
weight of 2741846 cycles is about 247156980 (90.14/cycle)
distribution of cycle lengths:
1 relations: 256219
2 relations: 258027
3 relations: 265411
4 relations: 243728
5 relations: 228506
6 relations: 205373
7 relations: 181350
8 relations: 158929
9 relations: 141106
10+ relations: 803197
heaviest cycle: 28 relations
commencing cycle optimization
start with 20338226 relations
pruned 614486 relations
memory use: 609.1 MB
distribution of cycle lengths:
1 relations: 256219
2 relations: 264387
3 relations: 275243
4 relations: 251081
5 relations: 235633
6 relations: 209532
7 relations: 184586
8 relations: 160742
9 relations: 142171
10+ relations: 762252
heaviest cycle: 28 relations
RelProcTime: 914
elapsed time 00:15:16


Msieve v. 1.54 (SVN 1034)
random seeds: a50c5711 9cf17f6c
factoring 352341976611684893543759666113826069707819825212881772434625883966407049474691313465707556479437877656205755042488857704107285273453247377710351689 (147 digits)
searching for 15-digit factors
commencing number field sieve (147-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 2750
skew 1.00, size 1.077e-13, alpha 0.223, combined = 2.063e-11 rroots = 1

commencing linear algebra
read 2741846 cycles
cycles contain 9663320 unique relations
read 9663320 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1216.7 MB
read 2741846 cycles
matrix is 2741668 x 2741846 (1012.7 MB) with weight 297694273 (108.57/col)
sparse part has weight 235301601 (85.82/col)
filtering completed in 2 passes
matrix is 2740518 x 2740695 (1012.5 MB) with weight 297650823 (108.60/col)
sparse part has weight 235286029 (85.85/col)
matrix starts at (0, 0)
matrix is 2740518 x 2740695 (1012.5 MB) with weight 297650823 (108.60/col)
sparse part has weight 235286029 (85.85/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2740470 x 2740695 (963.0 MB) with weight 244940384 (89.37/col)
sparse part has weight 225045076 (82.11/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 913.0 MB
linear algebra at 0.1%, ETA 3h29m
checkpointing every 740000 dimensions
lanczos halted after 43336 iterations (dim = 2740468)
recovered 38 nontrivial dependencies
BLanczosTime: 13190
elapsed time 03:39:51


Msieve v. 1.54 (SVN 1034)
random seeds: 296f5c85 ffcebe1f
factoring 352341976611684893543759666113826069707819825212881772434625883966407049474691313465707556479437877656205755042488857704107285273453247377710351689 (147 digits)
searching for 15-digit factors
commencing number field sieve (147-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 2750
skew 1.00, size 1.077e-13, alpha 0.223, combined = 2.063e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1368154 cycles
cycles contain 4827080 unique relations
read 4827080 relations
multiplying 4827080 relations
multiply complete, coefficients have about 158.23 million bits
initial square root is modulo 476911
sqrtTime: 317
p55 factor: 1251367496150582350597349536812339736360292793227080553
p93 factor: 281565549445345423340806756228814103113063828727070219985245297436086549889452873758832076513
elapsed time 00:05:18

CADO-NFS/Msieve

1457963008473946181054306529396319524517425061865019370951616689264571089850220186069285037624686441544693762458010170513404653<127>

48107124890599585578495748781261<32>
30306592044099494833296625144191873374602388878007797681916634756640525090115817870813053056673<95>

P2: 48107124890599585578495748781261 (P32)

P1: 30306592044099494833296625144191873374602388878007797681916634756640525090115817870813053056673 (P95)

B1: 250000
Sigma: 3619963202

435700510654621964578279746031551254467637498002492458326037972936464175967329471613473150268443534421319971853761015281419937562043874971166729929<147>

17709857971448705875752495584023<32>
24602145954927762256766162278883504969116012969682193397520906584714252423186238558577964843369251118649923063873823<116>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3297299414
Step 1 took 15977ms
Step 2 took 10901ms
********** Factor found in step 2: 17709857971448705875752495584023
Found probable prime factor of 32 digits: 17709857971448705875752495584023
Probable prime cofactor 24602145954927762256766162278883504969116012969682193397520906584714252423186238558577964843369251118649923063873823 has 116 digits

GMP-ECM 6.2.1

709191860735964749457653802924744826307519314449583567836221370670627542342824244622155735532910846314361905649406451259931806820450391755938465086314104217936587653<165>

120780957158617319735656378500678509<36>

5871719163515225280922211088120438405575691242148159445644927132369821177548971534618963281375524980385790625213433048301365617017<130>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3923837933
Step 1 took 21101ms
Step 2 took 12849ms
********** Factor found in step 2: 120780957158617319735656378500678509
Found probable prime factor of 36 digits: 120780957158617319735656378500678509
Composite cofactor 5871719163515225280922211088120438405575691242148159445644927132369821177548971534618963281375524980385790625213433048301365617017 has 130 digits

GMP-ECM 6.2.1

5871719163515225280922211088120438405575691242148159445644927132369821177548971534618963281375524980385790625213433048301365617017<130>

1574561775670724283449824859701583020095856083343136824531809989<64>
3729113239151267009317066747122169913726277232197509019558384028453<67>

Number: 97777_197
N = 5871719163515225280922211088120438405575691242148159445644927132369821177548971534618963281375524980385790625213433048301365617017 (130 digits)
Divisors found:
r1=1574561775670724283449824859701583020095856083343136824531809989 (pp64)
r2=3729113239151267009317066747122169913726277232197509019558384028453 (pp67)
Version: Msieve v. 1.47
Total time: 152.42 hours.
Factorization parameters were as follows:
# Murphy_E = 7.881737e-11, selected by Jeff Gilchrist
n: 5871719163515225280922211088120438405575691242148159445644927132369821177548971534618963281375524980385790625213433048301365617017
Y0: -10491226194789455755296759
Y1: 186651553525933
c0: -169965754597057205412952998548800
c1: -676066635901011959672812056
c2: 9339493862388733982498
c3: 12593531036882625
c4: -47555103760
c5: 46200
skew: 369676.06
type: gnfs
# selected mechanically
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4800000, 10300000)
Relations: 18194780
Relations in full relation-set: 2145750 relations
Pruned matrix : 1316305 x 1316532
Polynomial selection time: 0.00 hours.
Total sieving time: 150.36 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.64 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9600000,9600000,28,28,53,53,2.5,2.5,100000
total time: 152.42 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

22177913982530350241035565118133922059176694156973151734101068213586174528913787930409487203460435343801074518392657572909275289173910084341198558854542966834056954354441619972551<179>

2889531903615137385888260404674247241<37>

7675261849430776030773875354470107206929158876564104118957815277895381798101100477105274389534056333091198931705257355541876499810241661696911<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1721802710
Step 1 took 28610ms
Step 2 took 18502ms
********** Factor found in step 2: 2889531903615137385888260404674247241
Found probable prime factor of 37 digits: 2889531903615137385888260404674247241
Composite cofactor 7675261849430776030773875354470107206929158876564104118957815277895381798101100477105274389534056333091198931705257355541876499810241661696911 has 142 digits

GMP-ECM 6.2.3

7675261849430776030773875354470107206929158876564104118957815277895381798101100477105274389534056333091198931705257355541876499810241661696911<142>

11033629637324620259542819208077711528000624472783<50>
695624386690202103058155015749175536034748044432271493222520672625862069528483126170849041217<93>

7675261849430776030773875354470107206929158876564104118957815277895381798101100477105274389534056333091198931705257355541876499810241661696911=11033629637324620259542819208077711528000624472783*695624386690202103058155015749175536034748044432271493222520672625862069528483126170849041217

Info:Square Root: Factors: 695624386690202103058155015749175536034748044432271493222520672625862069528483126170849041217 11033629637324620259542819208077711528000624472783
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66464/44.270/51.108/56.260/0.934
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66464/41.550/46.000/51.830/1.468
Info:Polynomial Selection (size optimized): Total time: 21779.4
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3919.88
Info:Polynomial Selection (root optimized): Rootsieve time: 3918.3
Info:Generate Factor Base: Total cpu/real time for makefb: 46.58/12.5001
Info:Generate Free Relations: Total cpu/real time for freerel: 1561.16/261.528
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34479593
Info:Lattice Sieving: Average J: 3787.82 for 1139529 special-q, max bucket fill -bkmult 1.0,1s:1.323890
Info:Lattice Sieving: Total time: 187732s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 215.5/222.82
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 220.99999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1632.15/1056.57
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 880.2999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1259.37/1059.04
Info:Filtering - Merging: Total cpu/real time for merge: 2426.08/2399.38
Info:Filtering - Merging: Total cpu/real time for replay: 227.66/244.849
Info:Linear Algebra: Total cpu/real time for bwc: 295652/152421
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 100786.86, iteration CPU time 1.36, COMM 0.03, cpu-wait 0.15, comm-wait 0.0 (65000 iterations)
Info:Linear Algebra: Lingen CPU time 11364.31, WCT time 5504.51
Info:Linear Algebra: Mksol: WCT time 43982.44, iteration CPU time 1.16, COMM 0.03, cpu-wait 0.13, comm-wait 0.0 (33000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 258.51/146.04
Info:Square Root: Total cpu/real time for sqrt: 16390.4/4834.37
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 882747/367169
Info:root: Cleaning up computation data in /tmp/cado.y8gh_z74
695624386690202103058155015749175536034748044432271493222520672625862069528483126170849041217 11033629637324620259542819208077711528000624472783

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

1842489483562790436223019418025159962733807734058820637648012966197311811193493243102294604990062942632689675651165057579<121>

914873563129692842500063828197206474139300829067<48>
2013927998159455384275057837246928675939493887607041425750660883017786337<73>

Divisors found:
 r1=914873563129692842500063828197206474139300829067 (pp48)
 r2=2013927998159455384275057837246928675939493887607041425750660883017786337 (pp73)

GGNFS-0.77.1-20060513-athlon-xp

56165180484430952300766307618116484534228422042636160492389602943693696922297926733979303491972770778598171625374154176211273951939843834033017<143>

71667641239560201426152604140243021<35>
783689535653756613587774856516396256095443409087462979989068100794322282666118406402420801891476776268672477<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3328569559
Step 1 took 17847ms
Step 2 took 9906ms
********** Factor found in step 2: 71667641239560201426152604140243021
Found probable prime factor of 35 digits: 71667641239560201426152604140243021
Probable prime cofactor 783689535653756613587774856516396256095443409087462979989068100794322282666118406402420801891476776268672477 has 108 digits

GMP-ECM 6.3

61342840219808471568041172884911546245029809747305822784636806241898353942307437896853254729856838664483337790081443976986869127748001258831907195953673590052800930103<167>

78631009673223017371845220961389079<35>

780135476763414188701971620502193143577153729268118576721729679066829087400171873967989743929681578060183715994509351891357868799457<132>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 61342840219808471568041172884911546245029809747305822784636806241898353942307437896853254729856838664483337790081443976986869127748001258831907195953673590052800930103 (167 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3970047273
Step 1 took 3963ms
Step 2 took 2308ms
********** Factor found in step 2: 78631009673223017371845220961389079
Found probable prime factor of 35 digits: 78631009673223017371845220961389079
Composite cofactor 780135476763414188701971620502193143577153729268118576721729679066829087400171873967989743929681578060183715994509351891357868799457 has 132 digits

780135476763414188701971620502193143577153729268118576721729679066829087400171873967989743929681578060183715994509351891357868799457<132>

78483266487460784559579877097156507306046758577429382252027<59>
9940150450899694353521742302778476038847073596636677173965673172271995091<73>

N=780135476763414188701971620502193143577153729268118576721729679066829087400171873967989743929681578060183715994509351891357868799457
  ( 132 digits)
Divisors found:
 r1=78483266487460784559579877097156507306046758577429382252027 (pp59)
 r2=9940150450899694353521742302778476038847073596636677173965673172271995091 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 166.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
# Murphy_E = 6.65e-11, selected by Dmitry Domanov
n: 780135476763414188701971620502193143577153729268118576721729679066829087400171873967989743929681578060183715994509351891357868799457
Y0: -28616019854708260260595037
Y1: 120709860360791
c0: 350307795794472463368169408057650
c1: 8943393692980605742298082249
c2: 9785214456947283284593
c3: -43729545376588783
c4: -16912709066
c5: 40656
skew: 645100.33
type: gnfs
# selected mechanically
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 600000
type: gnfs
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5500000, 12100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1315003 x 1315228
Total sieving time: 163.88 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 1.65 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,131,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11000000,11000000,28,28,54,54,2.6,2.6,100000
total time: 166.01 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

102656871744348136169869324953504299272565684635598600855607960973825820568848873924203592756405371226581229925758695765863946151906102779959667370826334512973<159>

13174209948192901164083305091309161532273<41>
7792260192303184032112712005944949011003485386325245369998662646666952879301309470255213358678261504376959802836095901<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=846334964
Step 1 took 19399ms
Step 2 took 8150ms
********** Factor found in step 2: 13174209948192901164083305091309161532273
Found probable prime factor of 41 digits: 13174209948192901164083305091309161532273

97777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<206>

1316210429808030684497584125498874855490456649799545013622213519167622479147357679567173937298754567<100>
74287344609507970904741354044545368008232359802516895096311653066497999626015423749785748729651147660338631<107>

Number: 97777_205
N=97777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
  ( 206 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=1316210429808030684497584125498874855490456649799545013622213519167622479147357679567173937298754567
 r2=74287344609507970904741354044545368008232359802516895096311653066497999626015423749785748729651147660338631
Version: 
Total time: 414.27 hours.
Scaled time: 2177.00 units (timescale=5.255).
Factorization parameters were as follows:
n: 97777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 200000000000000000000000000000000000000000
deg: 5
c5: 11
c0: -28
skew: 1.21
# Murphy_E = 7.438e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
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: 56/56
Sieved rational special-q in [12000000, 26100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 41078700
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4067906 x 4068154
Total sieving time: 371.49 hours.
Total relation processing time: 8.03 hours.
Matrix solve time: 34.44 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,24000000,24000000,29,29,56,56,2.6,2.6,100000
total time: 414.27 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7 4930K

231867433167703575192935441967388846770696625414551963217604345153539847643598465575103297600190510714633609537508522774954660036101232372772429149414609824681608467545712993806162145791865621439896233<201>

287091612815552459960870722871066021<36>

807642657665068316119432963652915266248614601375931310774930309321550671891556049911092088632062526993354673488036077076628409358450253404074887311561517975345422773<165>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2821863225
Step 1 took 26671ms
Step 2 took 9989ms
********** Factor found in step 2: 287091612815552459960870722871066021
Found probable prime factor of 36 digits: 287091612815552459960870722871066021

807642657665068316119432963652915266248614601375931310774930309321550671891556049911092088632062526993354673488036077076628409358450253404074887311561517975345422773<165>

2265907349921084349062928395466476087873<40>
356432339430469831964052609858694020584512478622419302632970691227695693966154805290895711627620773391817329298776816028701301<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3731452878
Step 1 took 83648ms
********** Factor found in step 1: 2265907349921084349062928395466476087873
Found probable prime factor of 40 digits: 2265907349921084349062928395466476087873

6353331889394267561908887444949823117464443000505378673019998556060934228575554111616489784131109667172045339686665222727600895242220778283156450797776333838712006353331889394267561908887444949823117464443<205>

3980621443586394593741635808812691<34>

1596065332871780814414517238240620534214597337563834189350149594385147383940308881473292649895212848976253509681944303824210554512502900871525581050508628007205409982718073<172>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [P-1]
Input number is 6353331889394267561908887444949823117464443000505378673019998556060934228575554111616489784131109667172045339686665222727600895242220778283156450797776333838712006353331889394267561908887444949823117464443 (205 digits)
Using B1=5000000, B2=309907919536, polynomial x^1, x0=2270268000
Step 1 took 2777ms
Step 2 took 20467ms
********** Factor found in step 2: 3980621443586394593741635808812691
Found probable prime factor of 34 digits: 3980621443586394593741635808812691
Composite cofactor 1596065332871780814414517238240620534214597337563834189350149594385147383940308881473292649895212848976253509681944303824210554512502900871525581050508628007205409982718073 has 172 digits

1596065332871780814414517238240620534214597337563834189350149594385147383940308881473292649895212848976253509681944303824210554512502900871525581050508628007205409982718073<172>

21844961296769446250245943397142057422882356637107198572088582274700389040241905727<83>
73063317036309686080132215220254809951356266374941701061141862866583510750990190363779399<89>

Number: n
N=1596065332871780814414517238240620534214597337563834189350149594385147383940308881473292649895212848976253509681944303824210554512502900871525581050508628007205409982718073  ( 172 digits)
SNFS difficulty: 208 digits.
Divisors found:

Tue Jul  5 03:07:39 2022  p83 factor: 21844961296769446250245943397142057422882356637107198572088582274700389040241905727
Tue Jul  5 03:07:39 2022  p89 factor: 73063317036309686080132215220254809951356266374941701061141862866583510750990190363779399
Tue Jul  5 03:07:39 2022  elapsed time 03:13:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 88x10^207-7 = 97(207)
#
n: 1596065332871780814414517238240620534214597337563834189350149594385147383940308881473292649895212848976253509681944303824210554512502900871525581050508628007205409982718073
m: 200000000000000000000000000000000000000000
deg: 5
c5: 275
c0: -7
skew: 0.48
# Murphy_E = 6.472e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 44900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6950400 hash collisions in 53285947 relations (48417494 unique)
Msieve: matrix is 2823221 x 2823446 (994.6 MB)

Sieving start time : 2022/07/04 07:46:07
Sieving end time  : 2022/07/04 23:53:37

Total sieving time: 16hrs 7min 30secs.

Total relation processing time: 2hrs 50min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 33sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

1479464030530757720952909332391856222995578419999663758174879373245237975151729123585682823086363712782232981960626082278374607017366890267480371883458583413190766799482187589314234797666481733662850321951547553<211>

1074193263636641085566706455818668156548989<43>
1377279192314135003869970978343826560160243007160519204387767780902371078724760439275408367457955108514369865950214731985397678211945103470921759530630540350447926738677<169>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=107515987
Step 1 took 122589ms
Step 2 took 42204ms
********** Factor found in step 2: 1074193263636641085566706455818668156548989
Found probable prime factor of 43 digits: 1074193263636641085566706455818668156548989

1731115548719592708751954080526526631375275598341170092438798549571539390392266646367133619958344493102502585481562698078900834445831298158649747513639900547750080462103166229675955684966121332003860984908509<208>

76995668649118844499582648236025440448861473450710307<53>
123261436224997653976555237456987354692548240223408034159936166238493<69>
182403235886600162408685694632936159187800401218718385703855873202444982576547302534859<87>

Number: n
N=1731115548719592708751954080526526631375275598341170092438798549571539390392266646367133619958344493102502585481562698078900834445831298158649747513639900547750080462103166229675955684966121332003860984908509
  ( 208 digits)
SNFS difficulty: 217 digits.
Divisors found:

Wed Dec  4 07:36:38 2019  found factor: 76995668649118844499582648236025440448861473450710307
Wed Dec  4 07:43:53 2019  found factor: 76995668649118844499582648236025440448861473450710307
Wed Dec  4 07:51:07 2019  found factor: 76995668649118844499582648236025440448861473450710307
Wed Dec  4 07:58:20 2019  p53 factor: 76995668649118844499582648236025440448861473450710307
Wed Dec  4 07:58:20 2019  p69 factor: 123261436224997653976555237456987354692548240223408034159936166238493
Wed Dec  4 07:58:20 2019  p87 factor: 182403235886600162408685694632936159187800401218718385703855873202444982576547302534859
Wed Dec  4 07:58:20 2019  elapsed time 06:55:05 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.127).
Factorization parameters were as follows:
#
# N = 88x10^215-7 = 97(215)
#
n: 1731115548719592708751954080526526631375275598341170092438798549571539390392266646367133619958344493102502585481562698078900834445831298158649747513639900547750080462103166229675955684966121332003860984908509
m: 1000000000000000000000000000000000000
deg: 6
c6: 44
c0: -35
skew: 0.96
# Murphy_E = 2.855e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 83800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9947118 hash collisions in 61383571 relations (53882819 unique)
Msieve: matrix is 3834445 x 3834670 (1338.0 MB)

Sieving start time: 2019/12/02 08:33:34
Sieving end time  : 2019/12/04 01:02:23

Total sieving time: 40hrs 28min 49secs.

Total relation processing time: 5hrs 59min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 36min 9sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149711] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283564K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2388K bss, 419896K reserved, 0K cma-reserved)
[    0.184572] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977084)
[    0.182221] smpboot: Total of 16 processors activated (95816.67 BogoMIPS)

108358115013301518728149318824210327026785428129576347905986133576670640080350444715734008859455130260547119964145270922886590979720321506418892351173218331874018553967270026218867<180>

4702087226579447152187262956947234131343<40>

23044684156598915062438941618202637105245531239043557008395081240726800633474275694052996951063465182883625263859508480460428844694250133469<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2565683521
Step 1 took 91399ms
Step 2 took 29672ms
********** Factor found in step 2: 4702087226579447152187262956947234131343
Found probable prime factor of 40 digits: 4702087226579447152187262956947234131343

23044684156598915062438941618202637105245531239043557008395081240726800633474275694052996951063465182883625263859508480460428844694250133469<140>

6505906807897699166921875606674132470686360602955675769<55>
3542117161688258323256937111254275446963318535426052684907351929636839613427654183301<85>

Number: 97777_216
N = 23044684156598915062438941618202637105245531239043557008395081240726800633474275694052996951063465182883625263859508480460428844694250133469 (140 digits)
Divisors found:
r1=6505906807897699166921875606674132470686360602955675769 (pp55)
r2=3542117161688258323256937111254275446963318535426052684907351929636839613427654183301 (pp85)
Version: Msieve v. 1.51 (SVN 845)
Total time: 385.08 hours.
Factorization parameters were as follows:
# Murphy_E = 2.054e-11, selected by Dmitry Domanov
n: 23044684156598915062438941618202637105245531239043557008395081240726800633474275694052996951063465182883625263859508480460428844694250133469
Y0: -486852589775322611364278860
Y1: 4298803583759399
c0: -441262770832987860311148700389249
c1: 9061642113428434681524236967
c2: -56195766552709232219821
c3: -240333888804169115
c4: 685138998162
c5: 842520
skew: 335063.13
type: gnfs
# selected mechanically
rlim: 17500000
alim: 17500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23109192
Relations: 3252356 relations
Pruned matrix : 2057993 x 2058218
Polynomial selection time: 0.00 hours.
Total sieving time: 380.41 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 4.13 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17500000,17500000,28,28,55,55,2.6,2.6,100000
total time: 385.08 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

220349366115783730514564423371472866186541647598082939184083599743149977341978510223743303764091069399616513504269972040565899224994426473411460675440440451814378981521774065867120663297444061<192>

525801571210326925808459896750950646955376803013486384260391598099734037036021327150058536351835646066246652435383546222761633944891173053184990309428425527144477673091979006690842831834716036901<195>

2271545228848237222746315784717568019547<40>

231473080321156098511241074148905705687194557360948872454014622244065733910594318591859921054769889211411014884520236417671357835788244989133785087266003583<156>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2043271685
Step 1 took 131228ms
Step 2 took 27685ms
********** Factor found in step 2: 2271545228848237222746315784717568019547
Found probable prime factor of 40 digits: 2271545228848237222746315784717568019547

231473080321156098511241074148905705687194557360948872454014622244065733910594318591859921054769889211411014884520236417671357835788244989133785087266003583<156>

47616226814902310620328353649175268681935631661310753677895380468430882721<74>
4861222650441354344771142836813640010519767181188319126142649540133280786559381023<82>

Number: 97777_218
N = 231473080321156098511241074148905705687194557360948872454014622244065733910594318591859921054769889211411014884520236417671357835788244989133785087266003583 (156 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=47616226814902310620328353649175268681935631661310753677895380468430882721 (pp74)
r2=4861222650441354344771142836813640010519767181188319126142649540133280786559381023 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 48.62 hours.
Factorization parameters were as follows:
n: 231473080321156098511241074148905705687194557360948872454014622244065733910594318591859921054769889211411014884520236417671357835788244989133785087266003583
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 22
c0: -175
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33470711
Relations: 7688610 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.86 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 6826807 x 6827033
Matrix solve time: 22.28 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 48.62 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1854935902231649727779564234553824661837185108437136237152136285380959302821876464539941659003379854436936902254421011313590913628049545032548522742366176475346448911415347989812265151<184>

1631150061574192968212254148096825082842948123228892217381929080975897<70>
1137195127492736722576744552731289066640725992107343815327544205710827881040394899536978134118333568674575454508183<115>

Number: 97777_222
N = 1854935902231649727779564234553824661837185108437136237152136285380959302821876464539941659003379854436936902254421011313590913628049545032548522742366176475346448911415347989812265151 (184 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=1631150061574192968212254148096825082842948123228892217381929080975897 (pp70)
r2=1137195127492736722576744552731289066640725992107343815327544205710827881040394899536978134118333568674575454508183 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.30 hours.
Factorization parameters were as follows:
n: 1854935902231649727779564234553824661837185108437136237152136285380959302821876464539941659003379854436936902254421011313590913628049545032548522742366176475346448911415347989812265151
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8800
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34173298
Relations: 9587594 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 35.71 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 8212643 x 8212869
Matrix solve time: 37.85 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 74.30 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

394158619136644992726242153295787408091624619306925515329937226795753327984613922944236759879775321884332922855027435208495109116412216336137794325997305870332632486592141158147539550739<186>

265559369638201044841171350079387787406765092399338791092239253145213651681980047161742014374273429303844560724930872721086303518779116840138984153476736953495786944370290864395724402668414262351722912334825619091<213>

3301091577416023264730365502207<31>

80445926267235350908660306396433218646394828068486059669303524962719929371936471568921649247268214357143796843750662097737011138608816795071945837372843523980172656795481912962607213<182>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 265559369638201044841171350079387787406765092399338791092239253145213651681980047161742014374273429303844560724930872721086303518779116840138984153476736953495786944370290864395724402668414262351722912334825619091 (213 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4168374398
Step 1 took 5928ms
Step 2 took 3167ms
********** Factor found in step 2: 3301091577416023264730365502207
Found probable prime factor of 31 digits: 3301091577416023264730365502207
Composite cofactor 80445926267235350908660306396433218646394828068486059669303524962719929371936471568921649247268214357143796843750662097737011138608816795071945837372843523980172656795481912962607213 has 182 digits

80445926267235350908660306396433218646394828068486059669303524962719929371936471568921649247268214357143796843750662097737011138608816795071945837372843523980172656795481912962607213<182>

16112406396296397996851393135206076105167<41>

4992794017765507257448832728361031348039154751333088606064170656068980111811993614199608796382774831531153806857339906382701672224430313467139<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=915630100
Step 1 took 22856ms
********** Factor found in step 1: 16112406396296397996851393135206076105167
Found probable prime factor of 41 digits: 16112406396296397996851393135206076105167

4992794017765507257448832728361031348039154751333088606064170656068980111811993614199608796382774831531153806857339906382701672224430313467139<142>

2518839554171834016791354600254613236737560971<46>
1982180250225219888320104104145074197268664931992122308541684141322411153560603040815282588930409<97>

Number: 97777_224
N = 4992794017765507257448832728361031348039154751333088606064170656068980111811993614199608796382774831531153806857339906382701672224430313467139 (142 digits)
Divisors found:
r1=2518839554171834016791354600254613236737560971 (pp46)
r2=1982180250225219888320104104145074197268664931992122308541684141322411153560603040815282588930409 (pp97)
Version: Msieve v. 1.51 (SVN 845)
Total time: 484.92 hours.
Factorization parameters were as follows:
# Murphy_E = 1.60027983e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 4992794017765507257448832728361031348039154751333088606064170656068980111811993614199608796382774831531153806857339906382701672224430313467139
Y0: -2669530945827882764734765894
Y1: 392069898841768647851
c0: -142297624603212294817436867737776
c1: -1598657058821604756329391192
c2: 37296058952507133617945
c3: 25100508750317651
c4: -328362272940
c5: 2257200
skew: 175531.04163
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23514387
Relations: 4302756 relations
Pruned matrix : 2652424 x 2652649
Polynomial selection time: 0.00 hours.
Total sieving time: 477.18 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 7.09 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 484.92 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

152233588579295532543960279460616029533706290364186727974176206581302184879855096343624722907712949579574261498640485288622500654199180733845277576385748806806765488186334516297830159528407<189>

13208958120366154347858970728253<32>

11525026212671162143634847621210356982613223631288290260340040318841230876537943195421328226087800871543728552931711280997639377409598046469716707358351597219<158>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 152233588579295532543960279460616029533706290364186727974176206581302184879855096343624722907712949579574261498640485288622500654199180733845277576385748806806765488186334516297830159528407 (189 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2996951597
Step 1 took 4493ms
Step 2 took 2527ms
********** Factor found in step 2: 13208958120366154347858970728253
Found probable prime factor of 32 digits: 13208958120366154347858970728253
Composite cofactor 11525026212671162143634847621210356982613223631288290260340040318841230876537943195421328226087800871543728552931711280997639377409598046469716707358351597219 has 158 digits

1067011025425215107902380616398815976731980999022873364510755323954977063333378065838911930599716011550487933377515344740746654782724815060741948821911257288614719753657909180791754310027140424650811253<202>

105072722919166952502395641921309601809<39>
10154976437091792135042265199962558298876009286002288242287766776008872335502602496596572833212247824720174702368431846899875155465114927310005760845542817210164517<164>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3438298279
Step 1 took 132360ms
Step 2 took 39755ms
********** Factor found in step 2: 105072722919166952502395641921309601809
Found probable prime factor of 39 digits: 105072722919166952502395641921309601809

349742204226396077482205871774174638205599929097716779557886110425536903962777891046559828371961962355815795550245833000482087833780248229529449684615992995617491720449466424549677104484291209666874524817587581608170295838187<225>

683502207454209512465362191462601969<36>

511691404083470610213751724558490812016006813576187527926635407925956673064897880889948651128330495077748876026776156817085302712617421704356347103212451980914621855827849401275349721684123<189>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [P-1]
Input number is 349742204226396077482205871774174638205599929097716779557886110425536903962777891046559828371961962355815795550245833000482087833780248229529449684615992995617491720449466424549677104484291209666874524817587581608170295838187 (225 digits)
Using B1=60000000, B2=6008828922, polynomial x^1, x0=2270268000
Step 1 took 35958ms
Step 2 took 1248ms
********** Factor found in step 2: 683502207454209512465362191462601969
Found probable prime factor of 36 digits: 683502207454209512465362191462601969
Composite cofactor 511691404083470610213751724558490812016006813576187527926635407925956673064897880889948651128330495077748876026776156817085302712617421704356347103212451980914621855827849401275349721684123 has 189 digits

4245700846877070908887158170430735909049710375712485828605029340167308365776515010045701873632275485360985902148552820466337362650058438692482895565847000282836094549412496207273820791753108526795752105110015744512410294229<223>

47737508442104188976807694023889977255457595405264197649033110136725116362560803500570472134155536820024110078611069057789106627724790916028056825319199818050159668045635978512937478410039122207128712102331233309306473<218>

27474478014212625585572304057379756611473<41>
1737521943725716650337023781804659051265601946117122352893040499804926655191955600849513416173869623229732545497051918913984514768864356756628799062535241761834936436078182215001<178>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4227530569
Step 1 took 30463ms
Step 2 took 11069ms
********** Factor found in step 2: 27474478014212625585572304057379756611473
Found probable prime factor of 41 digits: 27474478014212625585572304057379756611473

14365758655827760428828167524785250347169882078156580173252248720600198365891512654401972199230384342360149930490381368849534219761<131>

14021906451156977791323716546569829<35>
3141589755146093044082487545764655414741<40>
326115941327870447811415316955876833461414531204076801449<57>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 14365758655827760428828167524785250347169882078156580173252248720600198365891512654401972199230384342360149930490381368849534219761 (131 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=595928246
Step 1 took 8814ms
Step 2 took 4305ms
********** Factor found in step 2: 14021906451156977791323716546569829
Found probable prime factor of 35 digits: 14021906451156977791323716546569829
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1909188339
Step 1 took 6412ms
Step 2 took 3307ms
********** Factor found in step 2: 3141589755146093044082487545764655414741
Found probable prime factor of 40 digits: 3141589755146093044082487545764655414741
Probable prime cofactor 326115941327870447811415316955876833461414531204076801449 has 57 digits

1686546989898254950498504309926908456924456987799134301024343793893537477467970076994473636149655207111383373763350193236795406350994140478685307952119321327267685851429439343280721179736969717025929438972930139<211>

259918495011607776002593501910168085907<39>

6488753290999684173150081397321956496354360212943448412596261433318792459546652933571566150521367230519384316370094077300939685544140812176987121912962743634424221220957977<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3104601099
Step 1 took 26677ms
Step 2 took 10326ms
********** Factor found in step 2: 259918495011607776002593501910168085907
Found probable prime factor of 39 digits: 259918495011607776002593501910168085907

6488753290999684173150081397321956496354360212943448412596261433318792459546652933571566150521367230519384316370094077300939685544140812176987121912962743634424221220957977<172>

1824148743048235612908755957820663696341267886840629<52>
3557140455638876222425359953157220190595589775903018679587910355617881648507893103741819941676856836732535210034030976213<121>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2662566519
Step 1 took 281027ms
Step 2 took 83018ms
********** Factor found in step 2: 1824148743048235612908755957820663696341267886840629
Found probable prime factor of 52 digits: 1824148743048235612908755957820663696341267886840629

280679428687228604258093189185032085303523407072686712672274374877445728367691166270631162997770158169254995552665030926249463170920521888551294678135849502926352019218564559897885130052853<189>

10136702469486776259533825459149429443316841601148568342067567559472315649089341705019246590595065292423074160969347333752652304284653642246919556665361930467079374805946525411331315464638263990500868443989<206>

56525225670900818391954898599985795306251225533218857886735788313158090455588439307779472964107931364958501271407991323839392961938654596619444244797675223861556575866966815954317147763569732445891381916884849244865957809377<224>

91663007156318338960166227324991168840805561259108307698171416571894247159726805728783330269001869694730853154894735017072442719121594343372268599733578753341315701124678246228264898821414237282520120385797201169875616444617293<227>

1555463649926192674817552924950467101636794445381<49>
58929700581989031073741474056699788550814099786034976501063914887172793049153868525275560498145469974169811040393862944625272722400941494492512611450417230659736546609593021954153<179>

Tue Jun 06 22:52:55 2023  Msieve v. 1.52 (SVN unknown)
Tue Jun 06 22:52:55 2023  random seeds: 4a78e050 cdcbee8f
Tue Jun 06 22:52:55 2023  factoring 91663007156318338960166227324991168840805561259108307698171416571894247159726805728783330269001869694730853154894735017072442719121594343372268599733578753341315701124678246228264898821414237282520120385797201169875616444617293 (227 digits)
Tue Jun 06 22:52:56 2023  no P-1/P+1/ECM available, skipping
Tue Jun 06 22:52:56 2023  commencing number field sieve (227-digit input)
Tue Jun 06 22:52:56 2023  R0: -1000000000000000000000000000000000000000000000000000000000000
Tue Jun 06 22:52:56 2023  R1: 1
Tue Jun 06 22:52:56 2023  A0: -7
Tue Jun 06 22:52:56 2023  A1: 0
Tue Jun 06 22:52:56 2023  A2: 0
Tue Jun 06 22:52:56 2023  A3: 0
Tue Jun 06 22:52:56 2023  A4: 88
Tue Jun 06 22:52:56 2023  skew 1.00, size 6.323e-025, alpha 1.612, combined = 9.049e-015 rroots = 2
Tue Jun 06 22:52:56 2023  
Tue Jun 06 22:52:56 2023  commencing relation filtering
Tue Jun 06 22:52:56 2023  estimated available RAM is 32632.3 MB
Tue Jun 06 22:52:56 2023  commencing duplicate removal, pass 1
Tue Jun 06 22:59:03 2023  found 2846068 hash collisions in 51549398 relations
Tue Jun 06 22:59:16 2023  added 1828192 free relations
Tue Jun 06 22:59:16 2023  commencing duplicate removal, pass 2
Tue Jun 06 22:59:30 2023  found 703668 duplicates and 52673922 unique relations
Tue Jun 06 22:59:30 2023  memory use: 189.2 MB
Tue Jun 06 22:59:30 2023  reading ideals above 720000
Tue Jun 06 22:59:30 2023  commencing singleton removal, initial pass
Tue Jun 06 23:07:57 2023  memory use: 1378.0 MB
Tue Jun 06 23:07:57 2023  reading all ideals from disk
Tue Jun 06 23:07:58 2023  memory use: 2247.1 MB
Tue Jun 06 23:08:04 2023  keeping 51056694 ideals with weight <= 200, target excess is 307038
Tue Jun 06 23:08:09 2023  commencing in-memory singleton removal
Tue Jun 06 23:08:14 2023  begin with 52673922 relations and 51056694 unique ideals
Tue Jun 06 23:08:55 2023  reduce to 44365107 relations and 42338636 ideals in 11 passes
Tue Jun 06 23:08:55 2023  max relations containing the same ideal: 186
Tue Jun 06 23:09:11 2023  removing 1725032 relations and 1325032 ideals in 400000 cliques
Tue Jun 06 23:09:11 2023  commencing in-memory singleton removal
Tue Jun 06 23:09:15 2023  begin with 42640075 relations and 42338636 unique ideals
Tue Jun 06 23:09:36 2023  reduce to 42586661 relations and 40959547 ideals in 6 passes
Tue Jun 06 23:09:36 2023  max relations containing the same ideal: 184
Tue Jun 06 23:09:51 2023  removing 1372638 relations and 972638 ideals in 400000 cliques
Tue Jun 06 23:09:51 2023  commencing in-memory singleton removal
Tue Jun 06 23:09:55 2023  begin with 41214023 relations and 40959547 unique ideals
Tue Jun 06 23:10:15 2023  reduce to 41176732 relations and 39949248 ideals in 6 passes
Tue Jun 06 23:10:15 2023  max relations containing the same ideal: 180
Tue Jun 06 23:10:29 2023  removing 1269761 relations and 869761 ideals in 400000 cliques
Tue Jun 06 23:10:30 2023  commencing in-memory singleton removal
Tue Jun 06 23:10:33 2023  begin with 39906971 relations and 39949248 unique ideals
Tue Jun 06 23:10:53 2023  reduce to 39873394 relations and 39045570 ideals in 6 passes
Tue Jun 06 23:10:53 2023  max relations containing the same ideal: 180
Tue Jun 06 23:11:07 2023  removing 1218461 relations and 818461 ideals in 400000 cliques
Tue Jun 06 23:11:07 2023  commencing in-memory singleton removal
Tue Jun 06 23:11:10 2023  begin with 38654933 relations and 39045570 unique ideals
Tue Jun 06 23:11:32 2023  reduce to 38622623 relations and 38194479 ideals in 7 passes
Tue Jun 06 23:11:32 2023  max relations containing the same ideal: 176
Tue Jun 06 23:11:45 2023  removing 274718 relations and 202739 ideals in 71979 cliques
Tue Jun 06 23:11:46 2023  commencing in-memory singleton removal
Tue Jun 06 23:11:49 2023  begin with 38347905 relations and 38194479 unique ideals
Tue Jun 06 23:12:01 2023  reduce to 38346520 relations and 37990354 ideals in 4 passes
Tue Jun 06 23:12:01 2023  max relations containing the same ideal: 175
Tue Jun 06 23:12:09 2023  relations with 0 large ideals: 12600
Tue Jun 06 23:12:09 2023  relations with 1 large ideals: 789
Tue Jun 06 23:12:09 2023  relations with 2 large ideals: 4692
Tue Jun 06 23:12:09 2023  relations with 3 large ideals: 47539
Tue Jun 06 23:12:09 2023  relations with 4 large ideals: 324696
Tue Jun 06 23:12:09 2023  relations with 5 large ideals: 2454549
Tue Jun 06 23:12:09 2023  relations with 6 large ideals: 3822674
Tue Jun 06 23:12:09 2023  relations with 7+ large ideals: 31678981
Tue Jun 06 23:12:09 2023  commencing 2-way merge
Tue Jun 06 23:12:33 2023  reduce to 31774050 relation sets and 31417884 unique ideals
Tue Jun 06 23:12:33 2023  commencing full merge
Tue Jun 06 23:21:10 2023  memory use: 3718.7 MB
Tue Jun 06 23:21:17 2023  found 16780982 cycles, need 16732084
Tue Jun 06 23:21:18 2023  weight of 16732084 cycles is about 1171277508 (70.00/cycle)
Tue Jun 06 23:21:18 2023  distribution of cycle lengths:
Tue Jun 06 23:21:18 2023  1 relations: 1281861
Tue Jun 06 23:21:18 2023  2 relations: 2426599
Tue Jun 06 23:21:18 2023  3 relations: 2668977
Tue Jun 06 23:21:18 2023  4 relations: 2371986
Tue Jun 06 23:21:18 2023  5 relations: 1992830
Tue Jun 06 23:21:18 2023  6 relations: 1606042
Tue Jun 06 23:21:18 2023  7 relations: 1260090
Tue Jun 06 23:21:18 2023  8 relations: 957952
Tue Jun 06 23:21:18 2023  9 relations: 708792
Tue Jun 06 23:21:18 2023  10+ relations: 1456955
Tue Jun 06 23:21:18 2023  heaviest cycle: 21 relations
Tue Jun 06 23:21:40 2023  commencing cycle optimization
Tue Jun 06 23:21:56 2023  start with 82908066 relations
Tue Jun 06 23:24:16 2023  pruned 3617225 relations
Tue Jun 06 23:24:16 2023  memory use: 2497.0 MB
Tue Jun 06 23:24:16 2023  distribution of cycle lengths:
Tue Jun 06 23:24:16 2023  1 relations: 1281861
Tue Jun 06 23:24:16 2023  2 relations: 2507944
Tue Jun 06 23:24:16 2023  3 relations: 2839902
Tue Jun 06 23:24:16 2023  4 relations: 2480347
Tue Jun 06 23:24:16 2023  5 relations: 2075056
Tue Jun 06 23:24:16 2023  6 relations: 1624537
Tue Jun 06 23:24:16 2023  7 relations: 1244839
Tue Jun 06 23:24:16 2023  8 relations: 913116
Tue Jun 06 23:24:16 2023  9 relations: 649193
Tue Jun 06 23:24:16 2023  10+ relations: 1115289
Tue Jun 06 23:24:16 2023  heaviest cycle: 20 relations
Tue Jun 06 23:24:47 2023  RelProcTime: 1911
Tue Jun 06 23:24:47 2023  
Tue Jun 06 23:24:47 2023  commencing linear algebra
Tue Jun 06 23:24:49 2023  read 16732084 cycles
Tue Jun 06 23:25:07 2023  cycles contain 38224992 unique relations
Tue Jun 06 23:29:39 2023  read 38224992 relations
Tue Jun 06 23:30:30 2023  using 20 quadratic characters above 536870744
Tue Jun 06 23:32:45 2023  building initial matrix
Tue Jun 06 23:38:50 2023  memory use: 5333.7 MB
Tue Jun 06 23:39:01 2023  read 16732084 cycles
Tue Jun 06 23:39:05 2023  matrix is 16731907 x 16732084 (4912.6 MB) with weight 1451145825 (86.73/col)
Tue Jun 06 23:39:05 2023  sparse part has weight 1120494463 (66.97/col)
Tue Jun 06 23:41:04 2023  filtering completed in 2 passes
Tue Jun 06 23:41:08 2023  matrix is 16731482 x 16731659 (4912.6 MB) with weight 1451135672 (86.73/col)
Tue Jun 06 23:41:08 2023  sparse part has weight 1120492363 (66.97/col)
Tue Jun 06 23:41:57 2023  matrix starts at (0, 0)
Tue Jun 06 23:42:01 2023  matrix is 16731482 x 16731659 (4912.6 MB) with weight 1451135672 (86.73/col)
Tue Jun 06 23:42:01 2023  sparse part has weight 1120492363 (66.97/col)
Tue Jun 06 23:42:01 2023  saving the first 48 matrix rows for later
Tue Jun 06 23:42:04 2023  matrix includes 64 packed rows
Tue Jun 06 23:42:06 2023  matrix is 16731434 x 16731659 (4757.3 MB) with weight 1152666417 (68.89/col)
Tue Jun 06 23:42:06 2023  sparse part has weight 1079775958 (64.53/col)
Tue Jun 06 23:42:06 2023  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Tue Jun 06 23:42:59 2023  commencing Lanczos iteration (8 threads)
Tue Jun 06 23:42:59 2023  memory use: 4039.0 MB
Tue Jun 06 23:43:42 2023  linear algebra at 0.0%, ETA 125h31m
Tue Jun 06 23:43:56 2023  checkpointing every 140000 dimensions
Mon Jun 12 17:22:11 2023  lanczos halted after 264591 iterations (dim = 16731432)
Mon Jun 12 17:22:40 2023  recovered 35 nontrivial dependencies
Mon Jun 12 17:22:49 2023  BLanczosTime: 496682
Mon Jun 12 17:22:49 2023  
Mon Jun 12 17:22:49 2023  commencing square root phase
Mon Jun 12 17:22:49 2023  reading relations for dependency 1
Mon Jun 12 17:22:52 2023  read 8368375 cycles
Mon Jun 12 17:23:01 2023  cycles contain 19116232 unique relations
Mon Jun 12 17:25:24 2023  read 19116232 relations
Mon Jun 12 17:27:20 2023  multiplying 19116232 relations
Mon Jun 12 17:34:42 2023  multiply complete, coefficients have about 656.81 million bits
Mon Jun 12 17:34:45 2023  initial square root is modulo 780889
Mon Jun 12 17:44:53 2023  sqrtTime: 1324
Mon Jun 12 17:44:53 2023  prp49 factor: 1555463649926192674817552924950467101636794445381
Mon Jun 12 17:44:53 2023  prp179 factor: 58929700581989031073741474056699788550814099786034976501063914887172793049153868525275560498145469974169811040393862944625272722400941494492512611450417230659736546609593021954153
Mon Jun 12 17:44:53 2023  elapsed time 138:51:58

GGNFS, NFS_factory, Msieve

228538537830492987975729465571380665267414254408374440875407064990271979349204591185195899138482403502122903565321259013186559958357887891253177349937554996595228987204753178270162819422083157667436685795449470363691260693010047<228>

120333363517939750745847941633206674209266788013867358386245316377996113298639625662431528159982122753223785090846148004942421176163924341542514498788886300507236446316549365994664251809<186>

2239746055636139937427960858626673055385823745441875294932605306359587435691515425326417364615033916692370161718313316763827828883784684990530072630635656552170058107412934773610406071875893524710592502732065687915357915749943141898703<235>

7775958962617404701082029549270245094651<40>

288034706253418362074982219721455310328941625883717984994647358666418483630590008517522127725965630541905803842851797718878394952615525040279144942467016647489567753398994514754802796942846152253<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3700301961
Step 1 took 34951ms
Step 2 took 12231ms
********** Factor found in step 2: 7775958962617404701082029549270245094651
Found probable prime factor of 40 digits: 7775958962617404701082029549270245094651

25931554251905600891573983460972568835752776812711412152881835506132370565446380765387504350165564133595831384783305029631220884095087473320703487705643855444550822752227829920829196808415025096145657540232953760207971065100282919150423347357<242>

10104940291970821126090476205335432209561<41>

2566225381114847705464596845851483105350782956327433442246812719627617845842009186993109192871534390026151327793135626530333720535478340769674687078051334235170400756643386233527483522985165251236137637<202>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1056191219
Step 1 took 147543ms
Step 2 took 46147ms
********** Factor found in step 2: 10104940291970821126090476205335432209561
Found probable prime factor of 41 digits: 10104940291970821126090476205335432209561

3524535396059847063024403381714120404753310024508067434731078241771485122668780161419049247823591520236583002567718330770201968504817391627642860279204302833061911611266621<172>

7146864961382640518541168237633038713<37>

493158247022200135237867296965684196027303798770836484345213819809090018002089479186486713668168712031396738490838171773575843285804517<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=507385294
Step 1 took 67659ms
Step 2 took 23457ms
********** Factor found in step 2: 7146864961382640518541168237633038713
Found probable prime factor of 37 digits: 7146864961382640518541168237633038713

493158247022200135237867296965684196027303798770836484345213819809090018002089479186486713668168712031396738490838171773575843285804517<135>

324334191973929986612895515884594260044197018261<48>
1520524999294062225560512397179392425152490683125836980186597859288092900561795973921297<88>

N=493158247022200135237867296965684196027303798770836484345213819809090018002089479186486713668168712031396738490838171773575843285804517
  ( 135 digits)
Divisors found:
 r1=324334191973929986612895515884594260044197018261 (pp48)
 r2=1520524999294062225560512397179392425152490683125836980186597859288092900561795973921297 (pp88)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 231.13 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
# Murphy_E = 4.456e-11, selected by Dmitry Domanov
n: 493158247022200135237867296965684196027303798770836484345213819809090018002089479186486713668168712031396738490838171773575843285804517
Y0: -127979990698811931373026335
Y1: 55802164364701
c0: 4055283939689653024800878733982332
c1: 15949773645224267904676689486
c2: -27281118995555971210310
c3: -62947957753706065
c4: 40382618088
c5: 14364
skew: 943453.87
type: gnfs
# selected mechanically
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 800000
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [6550000, 15350001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1847122 x 1847349
Total sieving time: 226.60 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.58 hours.
Time per square root: 0.71 hours.
Prototype def-par.txt line would be:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13100000,13100000,28,28,54,54,2.6,2.6,100000
total time: 231.13 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

124736641627273393647391893945513778099732255756448582252618649252495624692679963446828402641807076613382119563310087514738234559078731824527707420565024389679123602249287249195157360755372535963743480117517<207>

8787948593165415537605681936377895765974669213735886163688201113298508773209277085525385732907758346849781181665557884993509589445481995705616045395966858056922872072931072789247834869364996102366966707991<205>

160404563307793669067683264392082957<36>

54786150792372316560134538561723872625040640039379745878955968341719962539173826278698960296967530819936798469161167703703441520088235726628942684169932394336701248298163<170>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 8787948593165415537605681936377895765974669213735886163688201113298508773209277085525385732907758346849781181665557884993509589445481995705616045395966858056922872072931072789247834869364996102366966707991 (205 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1977262160
Step 1 took 5211ms
Step 2 took 3026ms
********** Factor found in step 2: 160404563307793669067683264392082957
Found probable prime factor of 36 digits: 160404563307793669067683264392082957
Composite cofactor 54786150792372316560134538561723872625040640039379745878955968341719962539173826278698960296967530819936798469161167703703441520088235726628942684169932394336701248298163 has 170 digits

7234598441925640879667128961461471454398687922479905225673247935513286872056989929878873530449939955436154286084964881632570308021900009112225837983515536711946556514737254298179575004407837563112478656764420574214415312981359178941002486211<241>

1336098128141858769339207561278937362945747875612326981617442925513129091520957974688723042589824761587816112986723599276873805081085098529165700856005473504517438180073502544558508084822912862814848618052110443128985708230966309244266740827<241>

5993530289724109469996961700670128880779078576350953725527554105085763099411721469702718230301136307620214269205009827761272860338178453156628470978610634056670212156603571325450036291903<187>

22935335174370680591123514652037<32>

261322986743251948030014461454915884729580363642320456323022372468610270259870313459518190195710215042332805547195082000300674099409686401870765875264613619<156>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 5993530289724109469996961700670128880779078576350953725527554105085763099411721469702718230301136307620214269205009827761272860338178453156628470978610634056670212156603571325450036291903 (187 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1149281274
Step 1 took 4758ms
Step 2 took 2715ms
********** Factor found in step 2: 22935335174370680591123514652037
Found probable prime factor of 32 digits: 22935335174370680591123514652037
Composite cofactor 261322986743251948030014461454915884729580363642320456323022372468610270259870313459518190195710215042332805547195082000300674099409686401870765875264613619 has 156 digits

261322986743251948030014461454915884729580363642320456323022372468610270259870313459518190195710215042332805547195082000300674099409686401870765875264613619<156>

32159354198085755199489854578513350732138967<44>

8125877936902317137335731373862034546913131254183015115571620833711349786840924398564303237814235096889363327557<112>

Tue 2015/10/27 12:07:15 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Tue 2015/10/27 12:07:15 UTC Input number is 261322986743251948030014461454915884729580363642320456323022372468610270259870313459518190195710215042332805547195082000300674099409686401870765875264613619 (156 digits)
Tue 2015/10/27 12:07:15 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2918489752
Tue 2015/10/27 12:07:15 UTC Step 1 took 96844ms
Tue 2015/10/27 12:07:15 UTC Step 2 took 43796ms
Tue 2015/10/27 12:07:15 UTC ********** Factor found in step 2: 32159354198085755199489854578513350732138967
Tue 2015/10/27 12:07:15 UTC Found probable prime factor of 44 digits: 32159354198085755199489854578513350732138967
Tue 2015/10/27 12:07:15 UTC Composite cofactor 8125877936902317137335731373862034546913131254183015115571620833711349786840924398564303237814235096889363327557 has 112 digits

GMP-ECM

8125877936902317137335731373862034546913131254183015115571620833711349786840924398564303237814235096889363327557<112>

421731898602553202372173976313234505807<39>
19267876022250507447313512982238378262609777796363889651268647562574910251<74>

N=8125877936902317137335731373862034546913131254183015115571620833711349786840924398564303237814235096889363327557
  ( 112 digits)
Divisors found:
 r1=421731898602553202372173976313234505807 (pp39)
 r2=19267876022250507447313512982238378262609777796363889651268647562574910251 (pp74)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 19.90 hours.
Scaled time: 25.93 units (timescale=1.303).
Factorization parameters were as follows:
n: 8125877936902317137335731373862034546913131254183015115571620833711349786840924398564303237814235096889363327557
skew: 90212.43
c0: -507653352860783309486899488
c1: 215387685432291964289614
c2: 7762613108854986283
c3: -39252712824702
c4: -570481434
c5: 3024
Y0: -4851301533395886078221
Y1: 168049426901
rlim: 3720000
alim: 3720000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 200000
type: gnfs
Factor base limits: 3720000/3720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1860000, 3060001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 314147 x 314373
Total sieving time: 19.59 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3720000,3720000,26,26,52,52,2.5,2.5,100000
total time: 19.90 hours.
 --------- CPU info (if available) ----------

3259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<256>

242567529078528424294658857628742349360409<42>

13436502699436377876618392235007326738504757070302846107881756801380947862753157927903605345709340301946633116326190529253677916182118871728112426156226421341414839760448846468584250772522220003278340978466854537651<215>

Z:\ALL\ECM>ecm-svn3038-skylake\ecm -primetest -one -sigma 1:1194320850 11e6      
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 3259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259 (256 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1194320850
Step 1 took 34515ms
Step 2 took 12203ms
********** Factor found in step 2: 242567529078528424294658857628742349360409
Found prime factor of 42 digits: 242567529078528424294658857628742349360409
Composite cofactor 13436502699436377876618392235007326738504757070302846107881756801380947862753157927903605345709340301946633116326190529253677916182118871728112426156226421341414839760448846468584250772522220003278340978466854537651 has 215 digits

1107595331893737596758542725975866668316278385383097007075401256079340388240861944291911659099478915950659749090973657366118951517132252538252544436554317833998177031987807282020718830125524943830406960566776433449589932804306726326850352959<241>

21088009521280806382550180580305195509561940841776233609395487130695463316312924144692779769826745077677696775402483150312477217112280297331388628454197317469966604468388382446283285719027212213333820003677<206>

810609810904978796052116326106291<33>

26014994190284704623699937423480539457477297628582281414095542353909042168716080200270599162862979828429291600288182869463484796642335471171879065945400497899508185253488047<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=47689122
Step 1 took 36992ms
Step 2 took 12801ms
********** Factor found in step 2: 810609810904978796052116326106291
Found probable prime factor of 33 digits: 810609810904978796052116326106291

26014994190284704623699937423480539457477297628582281414095542353909042168716080200270599162862979828429291600288182869463484796642335471171879065945400497899508185253488047<173>

1373387509808370859046391419165869526661979201<46>
18942209685534845146146773924684391960022362863683521423210232594671991835019700247511014856365585534384588984754817831008945647<128>

Resuming ECM residue saved by @6d2046de63d2 with GMP-ECM 7.0.5-dev on Mon May 27 04:58:40 2024 
Input number is 26014994190284704623699937423480539457477297628582281414095542353909042168716080200270599162862979828429291600288182869463484796642335471171879065945400497899508185253488047 (173 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1854197510
Step 1 took 0ms
Step 2 took 21670ms
********** Factor found in step 2: 1373387509808370859046391419165869526661979201
Found prime factor of 46 digits: 1373387509808370859046391419165869526661979201
Prime cofactor 18942209685534845146146773924684391960022362863683521423210232594671991835019700247511014856365585534384588984754817831008945647 has 128 digits

7185153595163020572654557745774241043189567696469045012706989637876560722279322803342744789540493665059380545172632687560354629112287636809971423516851517876083368510931174768544808387824824756700542317030250720286854804728297809<229>

81830138343655159463416245718990309686706940362826509693030813993333974814667134765921149779345977359486368990479496438279812651674215771587130415903813858298067920773256263478144204992902001222185025878388857190779826740716427977003<233>

430721156580127056078116629584685603118891425264838167170580102445348965980143470232521871918882274093597142907152804653324473133227395088845398279738041427923825336064397683035939195469770974623029999442157637759280178624864379519419<234>

97777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<266>

49896171782663790255523951256573227445429530162309216652363008908374860822237041556362749103991469271644031112177477615238872571828077715866027918906328000598265303046635041264134907284291897266451676280244870431101353341683455278695467414458309265998649<254>

34926388646363092435528719937592457439918861696470400117999293968714354749936270213871176929557402457100539949780141081165221021018317692906303508302623018106226479865001484386909004172438702101269752291673513789188740164239719<227>

6584357184883970787650468502077953226447187938897377675409010874073232685250632973652370202018155979637247518940366503319424475686359074326267277139487114836382374481373193550590695931563551899315022724875241526508466125231181062040623735849391986137<250>

305060432939755802520695637763726347576989739427535308639155810701168474709587061080825716641642524686660209577280080694585721224204882774410101260893461065325873371639841229495046673084930179969397100018566047280630115358637382126945331814978226675591486959985531538321<270>

1102711681217646247375593400873147074079674283207293624035401693780009889155353171172697157966358793366548590100350666895377281638584288372094340506315113097568956383984016907461739285586511214740404901742275220113015025658048638437733<235>

807576740695506158360564128320044038229898391599075464204278735056125633851468184607836079190422421886442687090169677578813891544174973839096161398730163750820783376188807226324594250381576259603295498234547867873359936668618171278721441180294045657971599229463<261>

8520007656903632487032428777611381165474448654506532348410993935139679906731143698993755859578236051041587207768520503426715513685374222489046607242633154132411491935794716842147113143551986688919029215468441536001276666153296194168934227172882721797<250>

3122846972182249805553158132207503021810461533405287823132876243296565050243237790032737828903006159130427935118532826853709935708068453769972701143672284108428607543605956383004612979707175454484236466609784971055962673210137160986210271968440775070801818168288979<265>

1141464798968584229122463713168425604772633726752084961860190886188033257417730909731790815456967831394745006498041958731098895862552713039868756724850409119792991805226291104364850098907282984025388163361082287430017189145379742801966689775026154443402964851<259>

100067156165241257245753195876093351514582834023652118229317982455923955468546673065578808653251887123220572419447720891801263970002181090170266236297148580426311013694113636057442925405082267648529016091<204>

29130885999660928240614382067562408947895501865197542994399205437090210966191681868501603432162646143071575234882305454031314166005273808060434728592947323779581200210156562531941216950979445815427520403847095509880350024116960609943232627327572324995380534191405717013617117<275>

279833840775503396705061840417020951<36>

104100654584629639542571863681627921554150659859807620953840145023457526836698097919670257377470540208283498018749052819052459938973190386799225328239005776192193846175380795097612454077562790782533307305401701230604151703839758699170983467<240>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=397508798
Step 1 took 47732ms
Step 2 took 13402ms
********** Factor found in step 2: 279833840775503396705061840417020951
Found probable prime factor of 36 digits: 279833840775503396705061840417020951

6108163120708959445127909721632272575357725492859335543923377941311073720962320914965020399609372140323311695783235628370746002504489866036453604962181207392260875004681507919092234726999525921166371183928647647985954090106160562206272794914260647851812580990381996810013198428637<280>

534482631586086005005095597207040928851207362417743266841998749324546301815325157644847971652048031494982639543607569034658857164515605940425964554522015601927339532233339784144239771293481172618137119327490097049959435781739416231459550735413<243>

175652047245321444770477079349376834362706432709964934319629571947816253964037314093814891614945342647156600138978686887460796463399570225915299595103969651827471737978412543818183126174022238278519416728509997784540914289101359520375092916205818511235365733065765847264068910933<279>