132914795791607779393998246218504139069715027270851061093644960498598981368472560242293430048107688956563142563482955158125504335329938049244764521<147>

1298908648477793769569563217697406042467797<43>
227836378491183675155418024092575662345597837669647<51>
449129571882613139545490492415647300223051508767591019<54>

Number: n
N=132914795791607779393998246218504139069715027270851061093644960498598981368472560242293430048107688956563142563482955158125504335329938049244764521
  ( 147 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=1298908648477793769569563217697406042467797 (pp43)
 r2=227836378491183675155418024092575662345597837669647 (pp51)
 r3=449129571882613139545490492415647300223051508767591019 (pp54)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 26.19 hours.
Scaled time: 34.65 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_1_3_156_1
n: 132914795791607779393998246218504139069715027270851061093644960498598981368472560242293430048107688956563142563482955158125504335329938049244764521
skew: 0.89
deg: 5
c5: 25
c0: -14
m: 20000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1100001)
Primes: RFBsize:216816, AFBsize:216976, largePrimes:6729179 encountered
Relations: rels:6208493, finalFF:500339
Max relations in full relation-set: 48
Initial matrix: 433856 x 500339 with sparse part having weight 32743641.
Pruned matrix : 376565 x 378798 with weight 19065606.
Total sieving time: 22.56 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.26 hours.
Total square root time: 0.19 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 26.19 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649<157>

115570041668777500610211129739853968547382455176953878951<57>
60721132901910066040884017345234420133773553977363086094391872306702156725540345706908544495936768599<101>

Number: n
N=7017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649
  ( 157 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=115570041668777500610211129739853968547382455176953878951 (pp57)
 r2=60721132901910066040884017345234420133773553977363086094391872306702156725540345706908544495936768599 (pp101)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 26.26 hours.
Scaled time: 37.76 units (timescale=1.438).
Factorization parameters were as follows:
name: KA_1_3_157_1
n: 7017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649
skew: 0.56
deg: 5
c5: 125
c0: -7
m: 20000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1200001)
Primes: RFBsize:216816, AFBsize:216506, largePrimes:6919954 encountered
Relations: rels:6439560, finalFF:527050
Max relations in full relation-set: 28
Initial matrix: 433387 x 527050 with sparse part having weight 34175911.
Pruned matrix : 352937 x 355167 with weight 19432489.
Total sieving time: 23.13 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.78 hours.
Total square root time: 0.17 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 26.26 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5270092226613965744400527009222661396574440052700922266139657444005270092226613965744400527009222661396574440052700922266139657444005270092226613965744400527<157>

17459658467387443869331205970366143563395038136006397<53>
301843947088533742600289415675999685198956945601568904220026735567745228859461977377699316648532130087291<105>

Number: n
N=5270092226613965744400527009222661396574440052700922266139657444005270092226613965744400527009222661396574440052700922266139657444005270092226613965744400527
  ( 157 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=17459658467387443869331205970366143563395038136006397 (pp53)
 r2=301843947088533742600289415675999685198956945601568904220026735567745228859461977377699316648532130087291 (pp105)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 27.80 hours.
Scaled time: 37.95 units (timescale=1.365).
Factorization parameters were as follows:
name: KA_1_3_158_1
n: 5270092226613965744400527009222661396574440052700922266139657444005270092226613965744400527009222661396574440052700922266139657444005270092226613965744400527
skew: 1.77
deg: 5
c5: 2
c0: -35
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:216816, AFBsize:216006, largePrimes:6763878 encountered
Relations: rels:6238378, finalFF:487616
Max relations in full relation-set: 28
Initial matrix: 432887 x 487616 with sparse part having weight 29932096.
Pruned matrix : 383769 x 385997 with weight 19502837.
Total sieving time: 24.57 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.79 hours.
Total square root time: 0.20 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 27.80 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

10863275897394715416026646238743388383563411275697039333548489540819916417179198180218113482105248693668875830361857053271903904435535782903<140>

866216913035861859660556067350054626872174933<45>
12541057250108172132778787912475915358164724857304431753382275697071209996577378790384734808091<95>

Number: n
N=10863275897394715416026646238743388383563411275697039333548489540819916417179198180218113482105248693668875830361857053271903904435535782903
  ( 140 digits)
SNFS difficulty: 161 digits.
Divisors found:

prp45 factor: 866216913035861859660556067350054626872174933
prp95 factor: 12541057250108172132778787912475915358164724857304431753382275697071209996577378790384734808091
elapsed time 02:26:08 (Msieve 1.26)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 40.30 hours.
Scaled time: 48.24 units (timescale=1.197).
Factorization parameters were as follows:
name: KA_1_3_160_1
n: 10863275897394715416026646238743388383563411275697039333548489540819916417179198180218113482105248693668875830361857053271903904435535782903
type: snfs
skew: 0.71
deg: 5
c5: 40
c0: -7
m: 100000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1700000)
Primes: RFBsize:250150, AFBsize:249831, largePrimes:6771115 encountered
Relations: rels:6304352, finalFF:590349
Max relations in full relation-set: 28
Initial matrix: 500047 x 590349 with sparse part having weight 31375036.
Pruned matrix : 415114 x 417678 with weight 17906321.
Total sieving time: 40.07 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.3,2.3,100000
total time: 40.30 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

2638590625214977914616288378693451210639678804972709384228566842385503842474839221256608922018631933955125027226040635048111569131028720142571437<145>

38845079894049413226636666173926767146741<41>
37241278615967782300259863150917251444291063<44>
1823943632731313508599180109626448102079347834135801509470639<61>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 2638590625214977914616288378693451210639678804972709384228566842385503842474839221256608922018631933955125027226040635048111569131028720142571437 (145 digits)
Using B1=2599000, B2=3273967499, polynomial Dickson(6), sigma=3906689502
Step 1 took 51172ms
Step 2 took 26938ms
********** Factor found in step 2: 38845079894049413226636666173926767146741
Found probable prime factor of 41 digits: 38845079894049413226636666173926767146741
Composite cofactor 67925993006367260173084306432034998810393910129667030593595794518859702769290352728359242093103768599257 has 104 digits


Number: n
N=67925993006367260173084306432034998810393910129667030593595794518859702769290352728359242093103768599257
  ( 104 digits)
Divisors found:

Mon Nov 26 00:08:03 2007  prp44 factor: 37241278615967782300259863150917251444291063
Mon Nov 26 00:08:03 2007  prp61 factor: 1823943632731313508599180109626448102079347834135801509470639
Mon Nov 26 00:08:03 2007  elapsed time 01:07:26 (Msieve 1.30)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 18.97 hours.
Scaled time: 22.69 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_1_3_163_1
n: 67925993006367260173084306432034998810393910129667030593595794518859702769290352728359242093103768599257
skew: 14548.83
# norm 4.31e+14
c5: 15540
c4: 662881441
c3: -30284510564936
c2: -70420841882984262
c1: 1380105811745476751310
c0: 213375504826872901606500
# alpha -5.63
Y1: 56183257309
Y0: -84745088989414396159
# Murphy_E 1.94e-09
# M 35605800172212779601640616997983630603863264454095218451097658761114576612953147801228187028086397273557
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 1200000)
Primes: RFBsize:169511, AFBsize:169993, largePrimes:4092500 encountered
Relations: rels:4001895, finalFF:381407
Max relations in full relation-set: 28
Initial matrix: 339591 x 381407 with sparse part having weight 23210863.
Pruned matrix : 297455 x 299216 with weight 14265146.
Total sieving time: 18.76 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 18.97 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

1182180847599188046818857534724658900852626590739814972842019783607392083840022685023727597960406156943676045299525683368653969430899562451<139>

192731134450942355826572331465468888732090323885616437<54>
6133834322965081225387775111756706302035506281288803413842786108108282065805336181223<85>

Number: n
N=1182180847599188046818857534724658900852626590739814972842019783607392083840022685023727597960406156943676045299525683368653969430899562451
  ( 139 digits)
SNFS difficulty: 166 digits.
Divisors found:

Wed Jun 04 17:41:20 2008  prp54 factor: 192731134450942355826572331465468888732090323885616437
Wed Jun 04 17:41:20 2008  prp85 factor: 6133834322965081225387775111756706302035506281288803413842786108108282065805336181223
Wed Jun 04 17:41:20 2008  elapsed time 00:53:13 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 36.64 hours.
Scaled time: 66.69 units (timescale=1.820).
Factorization parameters were as follows:
name: KA_1_3_165_1
n: 1182180847599188046818857534724658900852626590739814972842019783607392083840022685023727597960406156943676045299525683368653969430899562451
skew: 0.32
deg: 5
c5: 40
c0: -7
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2500529)
Primes: RFBsize:230209, AFBsize:229712, largePrimes:7212995 encountered
Relations: rels:6635279, finalFF:484405
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 36.46 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 36.64 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

1933387181407858117653716396964261130297665698862132685796900976269788635641054996450601322919821997858497612243316173533210563965043659752396057763981<151>

44513060255051568150273475384941022348961<41>
43434155511436613056459493128340863687385119966755835981223737071050592042248993684052667503664574707092147821<110>

Number: n
N=1933387181407858117653716396964261130297665698862132685796900976269788635641054996450601322919821997858497612243316173533210563965043659752396057763981
  ( 151 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=44513060255051568150273475384941022348961 (pp41)
 r2=43434155511436613056459493128340863687385119966755835981223737071050592042248993684052667503664574707092147821 (pp110)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 44.09 hours.
Scaled time: 80.15 units (timescale=1.818).
Factorization parameters were as follows:
name: KA_1_3_166_1
n: 1933387181407858117653716396964261130297665698862132685796900976269788635641054996450601322919821997858497612243316173533210563965043659752396057763981
skew: 0.89
deg: 5
c5: 25
c0: -14
m: 2000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2800001)
Primes: RFBsize:250150, AFBsize:250081, largePrimes:7547303 encountered
Relations: rels:7067753, finalFF:589532
Max relations in full relation-set: 48
Initial matrix: 500295 x 589532 with sparse part having weight 48687984.
Pruned matrix : 435661 x 438226 with weight 31937138.
Total sieving time: 42.02 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.71 hours.
Total square root time: 0.17 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 44.09 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

9483369725764655955200561415487765267632547873235796875703843846834095559175041667555732578457103162466719299368644660507218029782522623763902027307363125339326823<163>

40023304173544835675150634644920757<35>
87704264899678723077483412253836681182971817527<47>
2701649657888416586918373900392021989279527982766201328562651932265680628922403757<82>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 9483369725764655955200561415487765267632547873235796875703843846834095559175041667555732578457103162466719299368644660507218029782522623763902027307363125339326823 (163 digits)
Using B1=1476000, B2=1462061209, polynomial Dickson(6), sigma=3795526868
Step 1 took 25516ms
Step 2 took 14203ms
********** Factor found in step 2: 40023304173544835675150634644920757
Found probable prime factor of 35 digits: 40023304173544835675150634644920757
Composite cofactor 236946197261572085292838556629037751292137492986711183144801139487713250729956995533124609056643740923364539938459175868023248939 has 129 digits


Number: n
N=236946197261572085292838556629037751292137492986711183144801139487713250729956995533124609056643740923364539938459175868023248939
  ( 129 digits)
SNFS difficulty: 168 digits.
Divisors found:

Mon May 05 12:27:06 2008  prp47 factor: 87704264899678723077483412253836681182971817527
Mon May 05 12:27:06 2008  prp82 factor: 2701649657888416586918373900392021989279527982766201328562651932265680628922403757
Mon May 05 12:27:06 2008  elapsed time 01:48:02 (Msieve 1.34)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 70.29 hours.
Scaled time: 123.78 units (timescale=1.761).
Factorization parameters were as follows:
name: KA_1_3_167_1
n: 236946197261572085292838556629037751292137492986711183144801139487713250729956995533124609056643740923364539938459175868023248939
type: snfs
skew: 0.56
deg: 5
c5: 125
c0: -7
m: 2000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3299990)
Primes: RFBsize:230209, AFBsize:229892, largePrimes:7666340 encountered
Relations: rels:7167828, finalFF:516796
Max relations in full relation-set: 28
Initial matrix: 460166 x 516796 with sparse part having weight 46524840.
Pruned matrix : 
Total sieving time: 70.00 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.6,2.6,100000
total time: 70.29 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

4206840713946531714695528183547906105304724835861710639562086194419321364323506470619518559763137831380386962778321740712084950551575614009<139>

1502800256281439263857988805655344280607<40>
2799334573149479855515889170258387660810275368454048558247681468213445701259426026270237351262891687<100>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 4206840713946531714695528183547906105304724835861710639562086194419321364323506470619518559763137831380386962778321740712084950551575614009 (139 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4784109703
Step 1 took 4633ms
Step 2 took 4431ms
********** Factor found in step 2: 1502800256281439263857988805655344280607
Found probable prime factor of 40 digits: 1502800256281439263857988805655344280607
Probable prime cofactor 2799334573149479855515889170258387660810275368454048558247681468213445701259426026270237351262891687 has 100 digits

Core 2 Quad Q6600

238137762695719473715544442459963088646782163481574090611418705721259748764660356015955230100613204738941477644817526939334404953265464070965053283324403167232243853069<168>

1579581662729255260822279089299<31>
15140952069917912762805059248526017411056580054721603176641137<62>
9957103032241894992392055264616753554079600537545293015777629476295758102863<76>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 238137762695719473715544442459963088646782163481574090611418705721259748764660356015955230100613204738941477644817526939334404953265464070965053283324403167232243853069 (168 digits)
Using B1=555500, B2=363299638, polynomial Dickson(3), sigma=2144071242
Step 1 took 13210ms
Step 2 took 8710ms
********** Factor found in step 2: 1579581662729255260822279089299
Found probable prime factor of 31 digits: 1579581662729255260822279089299
Composite cofactor 150760019766408845647399019187174726946819254572510064535376429497480082829008432013771344824709618636211004729226783886499508955683275231 has 138 digits


Number: n
N=150760019766408845647399019187174726946819254572510064535376429497480082829008432013771344824709618636211004729226783886499508955683275231
  ( 138 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=15140952069917912762805059248526017411056580054721603176641137 (pp62)
 r2=9957103032241894992392055264616753554079600537545293015777629476295758102863 (pp76)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 92.21 hours.
Scaled time: 122.09 units (timescale=1.324).
Factorization parameters were as follows:
name: KA_1_3_170_1

n: 150760019766408845647399019187174726946819254572510064535376429497480082829008432013771344824709618636211004729226783886499508955683275231

# n: 238137762695719473715544442459963088646782163481574090611418705721259748764660356015955230100613204738941477644817526939334404953265464070965053283324403167232243853069

skew: 0.71
deg: 5
c5: 40
c0: -7
m: 10000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3700001)
Primes: RFBsize:348513, AFBsize:348246, largePrimes:8112542 encountered
Relations: rels:7771094, finalFF:817458
Max relations in full relation-set: 48
Initial matrix: 696825 x 817458 with sparse part having weight 48005762.
Pruned matrix : 589738 x 593286 with weight 30161766.
Total sieving time: 83.41 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 8.15 hours.
Total square root time: 0.31 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000
total time: 92.21 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

3113503918136118629154731219755141825340511505684653302991075688417620605462536396179982348768995009287621604509019202162472078255350728505021<142>

11712824240851604859171398762414514649183<41>

265820083535185443400012989979500246927574859540043887531215591340458372270487885471414380147411506787<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4085455744
Step 1 took 42653ms
Step 2 took 14897ms
********** Factor found in step 2: 11712824240851604859171398762414514649183
Found probable prime factor of 41 digits: 11712824240851604859171398762414514649183
Composite cofactor 265820083535185443400012989979500246927574859540043887531215591340458372270487885471414380147411506787 has 102 digits

GMP-ECM 6.2.1

265820083535185443400012989979500246927574859540043887531215591340458372270487885471414380147411506787<102>

5134015334759491232232164584639017885994807<43>
51776254296606631877254403452223499612447702177657692377141<59>

Number: 13331_172
N=265820083535185443400012989979500246927574859540043887531215591340458372270487885471414380147411506787
  ( 102 digits)
Divisors found:
 r1=5134015334759491232232164584639017885994807
 r2=51776254296606631877254403452223499612447702177657692377141
Version: 
Total time: 3.25 hours.
Scaled time: 7.75 units (timescale=2.385).
Factorization parameters were as follows:
name: 13331_172
n: 265820083535185443400012989979500246927574859540043887531215591340458372270487885471414380147411506787
skew: 12643.51
# norm 3.65e+14
c5: 38880
c4: -845394138
c3: -33007101816765
c2: 73320781261222582
c1: 1557463663881869440290
c0: -4414460967845638019542375
# alpha -6.49
Y1: 12393727643
Y0: -23279481991745479608
# Murphy_E 2.72e-09
# M 141911435455571799952981958314235858806500151888383279234915351745234001551558863634711718448352602713
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4792695
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 216449 x 216697
Polynomial selection time: 0.22 hours.
Total sieving time: 2.65 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 3.25 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673796)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672351)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

168383587815027749425840380281199160390599913805283315426370207659438535955555791853857122644497249818222550171710637030767928969808203895080304300967679852183457135051<168>

6641146625152017219757319418286962955580247263<46>
25354595722568226578798768090052792466524658199608562063230132957861080214476755044435971838286795392845251319202194326677<122>

N=168383587815027749425840380281199160390599913805283315426370207659438535955555791853857122644497249818222550171710637030767928969808203895080304300967679852183457135051
  ( 168 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=6641146625152017219757319418286962955580247263 (pp46)
 r2=25354595722568226578798768090052792466524658199608562063230132957861080214476755044435971838286795392845251319202194326677 (pp122)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 228.69 hours.
Scaled time: 529.18 units (timescale=2.314).
Factorization parameters were as follows:
n: 168383587815027749425840380281199160390599913805283315426370207659438535955555791853857122644497249818222550171710637030767928969808203895080304300967679852183457135051
m: 100000000000000000000000000000000000
deg: 5
c5: 4
c0: -7
skew: 1.12
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 6250001)
Primes: RFBsize:406429, AFBsize:405968, largePrimes:16864502 encountered
Relations: rels:18745749, finalFF:2369936
Max relations in full relation-set: 32
Initial matrix: 812461 x 2369934 with sparse part having weight 324211232.
Pruned matrix : 538174 x 542300 with weight 119994356.
Total sieving time: 223.94 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 4.33 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 228.69 hours.
 --------- CPU info (if available) ----------
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 32944636k/35127296k available (2460k kernel code, 603560k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5988.95 BogoMIPS (lpj=2994477)
Calibrating delay using timer specific routine.. 5985.01 BogoMIPS (lpj=2992505)
Calibrating delay using timer specific routine.. 5984.97 BogoMIPS (lpj=2992487)
Calibrating delay using timer specific routine.. 5985.05 BogoMIPS (lpj=2992527)
Calibrating delay using timer specific routine.. 5985.21 BogoMIPS (lpj=2992605)
Calibrating delay using timer specific routine.. 5985.02 BogoMIPS (lpj=2992513)
Calibrating delay using timer specific routine.. 5985.05 BogoMIPS (lpj=2992529)
Calibrating delay using timer specific routine.. 5985.00 BogoMIPS (lpj=2992504)

6977559022956677667467400412097682119008264822399673931124462519948218993939581270550254089203130368753409270924405649964679338852406800042457639510403122454011<160>

18380003214526976667076071041895441010099530947<47>
379627736813551501046639760624117035407338523721293381285911654428941519671787791023001311772901222584900356331113<114>

N=6977559022956677667467400412097682119008264822399673931124462519948218993939581270550254089203130368753409270924405649964679338852406800042457639510403122454011
  ( 160 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=18380003214526976667076071041895441010099530947 (pp47)
 r2=379627736813551501046639760624117035407338523721293381285911654428941519671787791023001311772901222584900356331113 (pp114)
Version: Msieve-1.40
Total time: 75.12 hours.
Scaled time: 148.43 units (timescale=1.976).
Factorization parameters were as follows:
n: 6977559022956677667467400412097682119008264822399673931124462519948218993939581270550254089203130368753409270924405649964679338852406800042457639510403122454011
m: 100000000000000000000000000000000000
deg: 5
c5: 40
c0: -7
skew: 0.71
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 807387 x 807612
Total sieving time: 73.92 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.92 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 75.12 hours.
 --------- CPU info (if available) ----------

179467221835195395436001068234336971017558009913698851915181866535992856172396041705332182879800783071919747404243611524794781931516892163283213374815728943<156>

110910736131604201418019597261113449<36>
1618123078925773243790462128090560763224585464128135521845465781845115942092744799215691236970693135883436725955702005207<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3700263305
Step 1 took 73015ms
Step 2 took 26215ms
********** Factor found in step 2: 110910736131604201418019597261113449
Found probable prime factor of 36 digits: 110910736131604201418019597261113449

2590354813850627189659303583108296258880060096231681334550800095843128112473206017394232575006961578562223560572209378379603546195740161508622643586605275257578406802271741171747<178>

111674969858577488476968435205091<33>
410923244146929474573211564906433238336504047888161145678797662857<66>
56447238927081583452010133015677952938829702727247218171506201584513543966479481<80>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 2590354813850627189659303583108296258880060096231681334550800095843128112473206017394232575006961578562223560572209378379603546195740161508622643586605275257578406802271741171747 (178 digits)
Using B1=782000, B2=696767622, polynomial Dickson(3), sigma=2644948554
Step 1 took 12144ms
Step 2 took 4526ms
********** Factor found in step 2: 111674969858577488476968435205091
Found probable prime factor of 33 digits: 111674969858577488476968435205091
Composite cofactor 23195482543053206881421353751404610349519007646345770007549762402992329345957190547132777743367728994353508496397809803285168273674330253046337217 has 146 digits


Number: n
N=23195482543053206881421353751404610349519007646345770007549762402992329345957190547132777743367728994353508496397809803285168273674330253046337217
  ( 146 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Sep 26 04:28:28 2008  prp66 factor: 410923244146929474573211564906433238336504047888161145678797662857
Fri Sep 26 04:28:28 2008  prp80 factor: 56447238927081583452010133015677952938829702727247218171506201584513543966479481
Fri Sep 26 04:28:29 2008  elapsed time 04:37:09 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 39.64 hours.
Scaled time: 81.07 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_1_3_181_1
n: 23195482543053206881421353751404610349519007646345770007549762402992329345957190547132777743367728994353508496397809803285168273674330253046337217
type: snfs
skew: 0.89
deg: 5
c5: 25
c0: -14
m: 2000000000000000000000000000000000000
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 3700001)
Primes: RFBsize:539777, AFBsize:539275, largePrimes:13622239 encountered
Relations: rels:13313889, finalFF:1206082
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 39.33 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,52,52,2.5,2.5,100000
total time: 39.64 hours.
 --------- CPU info (if available) ----------

31982541266033447377921291354841146687189930808945320998860670983061734984682659101958522742177784410997683103765378332555476482200749<134>

10628424877319760174976602768418304656668112955814238942412429<62>
3009151556810805179254065274292391452509348174262248627980805843015186081<73>

Number: n
N=31982541266033447377921291354841146687189930808945320998860670983061734984682659101958522742177784410997683103765378332555476482200749
  ( 134 digits)
Divisors found:

Sat Apr 28 03:48:58 2012  prp62 factor: 10628424877319760174976602768418304656668112955814238942412429
Sat Apr 28 03:48:58 2012  prp73 factor: 3009151556810805179254065274292391452509348174262248627980805843015186081
Sat Apr 28 03:48:58 2012  elapsed time 03:31:35 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_13331_184
n: 31982541266033447377921291354841146687189930808945320998860670983061734984682659101958522742177784410997683103765378332555476482200749
skew: 74102.85
# norm 5.34e+17
c5: 54660
c4: -237491094724
c3: -5358206566964281
c2: 1246797456562865726903
c1: 48364261192556092890990783
c0: 246654402861926625079601563359
# alpha -4.89
Y1: 62048979290689
Y0: -56682511059624466452846806
# Murphy_E 4.51e-11
# M 9312639142945299735658818382512870320882943926283737644915549793529673841398090261999133426352299290168970349163010351704937669475538
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 22200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3184902 hash collisions in 12973862 relations (9635940 unique)
Msieve: matrix is 1331717 x 1331942 (384.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1766528903111135381329812214649877770969801190487380865155695466811990809482384760560362937879613702819076381759005847681514068491525965134275150074367559938437<160>

740587760816305089156368551450909917105400099318738160391910631<63>
2385306639639841512089443008308820580353373756430388616378126311525895229794752389902336571829427<97>

N=1766528903111135381329812214649877770969801190487380865155695466811990809482384760560362937879613702819076381759005847681514068491525965134275150074367559938437
  ( 160 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=740587760816305089156368551450909917105400099318738160391910631 (pp63)
 r2=2385306639639841512089443008308820580353373756430388616378126311525895229794752389902336571829427 (pp97)
Version: Msieve-1.40
Total time: 183.92 hours.
Scaled time: 357.90 units (timescale=1.946).
Factorization parameters were as follows:
n: 1766528903111135381329812214649877770969801190487380865155695466811990809482384760560362937879613702819076381759005847681514068491525965134275150074367559938437
m: 10000000000000000000000000000000000000
deg: 5
c5: 40
c0: -7
skew: 0.71
# Murphy_E = 7.988e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 7300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1333399 x 1333624
Total sieving time: 181.29 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.12 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 183.92 hours.
 --------- CPU info (if available) ----------

41245503431403883813654527009218039206696069085845603777945411596647385912808634340643495838724150488207142785224024431276786560455917687205337461473380779424960729071<167>

11089013431891737624626374797458861901958489<44>
45741054621643532815441618114138370708470424522124251<53>
81316284320253034951750427650257028658756575475887262301439414886798789<71>

Number: 131-188
N=41245503431403883813654527009218039206696069085845603777945411596647385912808634340643495838724150488207142785224024431276786560455917687205337461473380779424960729071
  ( 167 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=11089013431891737624626374797458861901958489 (pp44)
 r2=45741054621643532815441618114138370708470424522124251 (pp53)
 r3=81316284320253034951750427650257028658756575475887262301439414886798789 (pp71)
Version: Msieve-1.40
Total time: 211.00 hours.
Scaled time: 405.55 units (timescale=1.922).
Factorization parameters were as follows:
n: 41245503431403883813654527009218039206696069085845603777945411596647385912808634340643495838724150488207142785224024431276786560455917687205337461473380779424960729071
m: 20000000000000000000000000000000000000
deg: 5
c5: 125
c0: -7
skew: 0.56
# Murphy_E = 6.01e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4850000, 8050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1736068 x 1736292
Total sieving time: 206.86 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.31 hours.
Time per square root: 0.64 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 211.00 hours.
 --------- CPU info (if available) ----------

66461697315410997015647932695110950342722236325944004850293759142801249905910775902259819597109670167944411844217194280738565501475039949650512753678762213933187493349<167>

17187029396452962451764372549233<32>
3866968269055691419473815558756213198307575801275502239579209994484850503385131935406232395834688131221430324342382120842650685242448053<136>

Input number is 66461697315410997015647932695110950342722236325944004850293759142801249905910775902259819597109670167944411844217194280738565501475039949650512753678762213933187493349 (167 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2279697587
Step 1 took 7136ms
********** Factor found in step 1: 17187029396452962451764372549233
Found probable prime factor of 32 digits: 17187029396452962451764372549233
Probable prime cofactor 3866968269055691419473815558756213198307575801275502239579209994484850503385131935406232395834688131221430324342382120842650685242448053 has 136 digits

GMP-ECM 6.2.1

222630377915066510825402126120109088885178382590304447041798853453553737407469249179050481438192241331329659932097734735904714198252351533366727890020593309957143652251349696666110090721879<189>

208077415143242929300081213865119997527<39>

1069940136279591667980810496981378274903150054006469796842841376740519957678800554460072994496458619358697351060409992237703368110891340267099632894977<151>

Input number is 222630377915066510825402126120109088885178382590304447041798853453553737407469249179050481438192241331329659932097734735904714198252351533366727890020593309957143652251349696666110090721879 (189 digits)

Using B1=60466176, B2=388129104100, polynomial Dickson(30), sigma=3321507121

Step 1 took 1844254ms

********** Factor found in step 1: 208077415143242929300081213865119997527

Found probable prime factor of 39 digits: 208077415143242929300081213865119997527

Composite cofactor 1069940136279591667980810496981378274903150054006469796842841376740519957678800554460072994496458619358697351060409992237703368110891340267099632894977 has 151 digits

1069940136279591667980810496981378274903150054006469796842841376740519957678800554460072994496458619358697351060409992237703368110891340267099632894977<151>

2127381794275336873832240154872607320602906170324289451<55>
502937525910365303174973599338133517550417759796364962360883341048314663908053585078268343469827<96>

N=1069940136279591667980810496981378274903150054006469796842841376740519957678800554460072994496458619358697351060409992237703368110891340267099632894977
  ( 151 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=2127381794275336873832240154872607320602906170324289451 (pp55)
 r2=502937525910365303174973599338133517550417759796364962360883341048314663908053585078268343469827 (pp96)
Version: Msieve-1.40
Total time: 294.93 hours.
Scaled time: 573.93 units (timescale=1.946).
Factorization parameters were as follows:
n: 1069940136279591667980810496981378274903150054006469796842841376740519957678800554460072994496458619358697351060409992237703368110891340267099632894977
m: 100000000000000000000000000000000000000
deg: 5
c5: 400
c0: -7
skew: 0.45
# Murphy_E = 4.247e-11
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5700000, 10100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1714051 x 1714279
Total sieving time: 291.08 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.18 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time: 294.93 hours.
 --------- CPU info (if available) ----------

219693299760704967118507703429618502252250974638696943352780943608885408710653392919896454237582147590615541509307804403662582957521595561316842338689947080531279<162>

5372859213250451705147656514444935239428213339604266968971215552270947605649<76>
40889457743262876131525478896139554934861079857049560327197679248839409166673449339871<86>

N=219693299760704967118507703429618502252250974638696943352780943608885408710653392919896454237582147590615541509307804403662582957521595561316842338689947080531279
  ( 162 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=5372859213250451705147656514444935239428213339604266968971215552270947605649 (pp76)
 r2=40889457743262876131525478896139554934861079857049560327197679248839409166673449339871 (pp86)
Version: Msieve-1.40
Total time: 290.06 hours.
Scaled time: 565.91 units (timescale=1.951).
Factorization parameters were as follows:
n: 219693299760704967118507703429618502252250974638696943352780943608885408710653392919896454237582147590615541509307804403662582957521595561316842338689947080531279
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2
c0: -35
skew: 1.77
# Murphy_E = 3.826e-11
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6300000, 10700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1997659 x 1997884
Total sieving time: 284.87 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.55 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,55,55,2.5,2.5,100000
total time: 290.06 hours.
 --------- CPU info (if available) ----------

3141765114544475549369111712068640858733509222446598216267433661629986892208367982205461783702789410669169095344985216011904495679140137775406797139136162046634538249413325897<175>

2194943961380131549337327265014227<34>
1431364613322065902729609803616244522630895563591548703486827349517993939479808043205791458209999060733306207315449033301346771404634709812211<142>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3766808131
Step 1 took 22026ms
Step 2 took 10516ms
********** Factor found in step 2: 2194943961380131549337327265014227
Found probable prime factor of 34 digits: 2194943961380131549337327265014227
Probable prime cofactor 1431364613322065902729609803616244522630895563591548703486827349517993939479808043205791458209999060733306207315449033301346771404634709812211 has 142 digits

GMP-ECM 6.2.1

37629052097232818667461377267500258556528765122464137560967604709699561844372971913230440011564750950923381136673132384892693048327207884015141809874584076051079951831846111<173>

53080170921181623484835211569<29>

708909776366544417055494111166661177395346300454696028653520045734998051049191473489799475703118236101317585796307759176426123229836426451112719<144>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1091327796
Step 1 took 20217ms
Step 2 took 12849ms
********** Factor found in step 2: 53080170921181623484835211569
Found probable prime factor of 29 digits: 53080170921181623484835211569
Composite cofactor 708909776366544417055494111166661177395346300454696028653520045734998051049191473489799475703118236101317585796307759176426123229836426451112719 has 144 digits

GMP-ECM 6.2.1

708909776366544417055494111166661177395346300454696028653520045734998051049191473489799475703118236101317585796307759176426123229836426451112719<144>

4759823857177392491029115347321<31>

148936136638243725827223056298526104138775238272839842036364034272340649404185731094292752003115969437907912343239<114>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=193189606
Step 1 took 5506ms
Step 2 took 4103ms
********** Factor found in step 2: 4759823857177392491029115347321
Found probable prime factor of 31 digits: 4759823857177392491029115347321
Composite cofactor 148936136638243725827223056298526104138775238272839842036364034272340649404185731094292752003115969437907912343239 has 114 digits

GMP-ECM 6.2.3

148936136638243725827223056298526104138775238272839842036364034272340649404185731094292752003115969437907912343239<114>

1529126117076157769714972445203575447979461<43>
97399511377795659132909869689749850569562051363758050033063937432700699<71>

Number: 13331_198
N = 148936136638243725827223056298526104138775238272839842036364034272340649404185731094292752003115969437907912343239 (114 digits)
Divisors found:
r1=1529126117076157769714972445203575447979461 (pp43)
r2=97399511377795659132909869689749850569562051363758050033063937432700699 (pp71)
Version: Msieve v. 1.45
Total time: 25.71 hours.
Factorization parameters were as follows:
n: 148936136638243725827223056298526104138775238272839842036364034272340649404185731094292752003115969437907912343239
Y0: -11994097464328949389162
Y1: 605185545031
c0: 34648088232150069388165151181
c1: 621149747234723116929972
c2: -6349333853473291857
c3: -65393497723056
c4: 300258640
c5: 600
skew: 165119.26 
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1750000, 2550000)
Total raw relations: 7232304
Relations: 920554 relations
Pruned matrix : 504577 x 504809
Polynomial selection time: 2.23 hours.
Total sieving time: 22.06 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.10 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,113,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 25.71 hours.
 --------- CPU info (if available) ----------

ggnfs + msieve

3872591732016652144447671604221124987898150837447962048601026236808984412818278632975118598121793009971923709942879271952754380869396843837738406428502275147642559783134863007067479910930390163617<196>

14245284449048868649167658171982103265194892503790476016535809966373146771405253<80>
271850783034045904709166657548054817831235558520384314653175768959548794237356697623685222130093654997355896460223789<117>

Number: 13331_199
N=3872591732016652144447671604221124987898150837447962048601026236808984412818278632975118598121793009971923709942879271952754380869396843837738406428502275147642559783134863007067479910930390163617
  ( 196 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=14245284449048868649167658171982103265194892503790476016535809966373146771405253
 r2=271850783034045904709166657548054817831235558520384314653175768959548794237356697623685222130093654997355896460223789
Version: 
Total time: 513.72 hours.
Scaled time: 1035.14 units (timescale=2.015).
Factorization parameters were as follows:
n: 3872591732016652144447671604221124987898150837447962048601026236808984412818278632975118598121793009971923709942879271952754380869396843837738406428502275147642559783134863007067479910930390163617
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2
c0: -35
skew: 1.77
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7650000, 12650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2913154 x 2913400
Total sieving time: 513.72 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
total time: 513.72 hours.
 --------- CPU info (if available) ----------

257197502871734719525936110788104300575066130355519457851181468090857555286865283863368983774026696424300319811345009331897313703153531701453479516298966196480838518203201257<174>

219025788840717463165163732337871497272419343293<48>
1174279541386685491320181853120708665590561062839408889674078242620187795807671553588078454182797446242141539555936683857544349<127>

Number: n
N=257197502871734719525936110788104300575066130355519457851181468090857555286865283863368983774026696424300319811345009331897313703153531701453479516298966196480838518203201257
  ( 174 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sat Oct  6 00:05:36 2012  prp48 factor: 219025788840717463165163732337871497272419343293
Sat Oct  6 00:05:36 2012  prp127 factor: 1174279541386685491320181853120708665590561062839408889674078242620187795807671553588078454182797446242141539555936683857544349
Sat Oct  6 00:05:36 2012  elapsed time 03:49:10 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
name: KA_13331_200
n: 257197502871734719525936110788104300575066130355519457851181468090857555286865283863368983774026696424300319811345009331897313703153531701453479516298966196480838518203201257
m: 10000000000000000000000000000000000000000
#  c174, diff: 200.6
skew: 1.118
deg: 5
c5: 4
c0: -7
# Murphy_E = 2.372e-11
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 15300000)
Primes: RFBsize:994839, AFBsize:993715,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8520017 hash collisions in 65131769 relations (59540404 unique)
Msieve: matrix is 1553367 x 1553595 (440.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

16253145736398134595209588527137893169121304318703196819821935473334883171948386705414806428082853619946026041124481825620373614837247521122166353890043196555704787929<167>

28078378689003794849232020125091161325124319<44>
578849153521933181942772049045899917969996398869894523839145285257562561940539197586824085291897219729333087171731140997191<123>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2056930407
Step 1 took 261326ms
Step 2 took 63073ms
********** Factor found in step 2: 28078378689003794849232020125091161325124319
Found probable prime factor of 44 digits: 28078378689003794849232020125091161325124319

8578529665683908719830761085411453571403305534717461114577009963507104382457744609317272400261682115420853183826736080037260396756718573627156825367665012794609<160>

21921710427236840042135249837352379866874250710316851<53>
391325745048864070276443857506723004944651528544073305252973471136594080259503760258475591164317097061360459<108>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8578529665683908719830761085411453571403305534717461114577009963507104382457744609317272400261682115420853183826736080037260396756718573627156825367665012794609 (160 digits)
Using B1=55990000, B2=288597909616, polynomial Dickson(12), sigma=1:2877180379
Step 1 took 134313ms
Step 2 took 40843ms
********** Factor found in step 2: 21921710427236840042135249837352379866874250710316851
Found prime factor of 53 digits: 21921710427236840042135249837352379866874250710316851
Prime cofactor 391325745048864070276443857506723004944651528544073305252973471136594080259503760258475591164317097061360459 has 108 digits

18293198058131029886008539105643693342666898885393741231667535205553794675265540483405872339044239230586078519204853493392525202641156137441025133349173357215094210013701390452240661<182>

23309583344877388848652369089282551266323528869<47>
6537124004183704561378640999219193179282868134375677214261<58>
120051724393012797605272997824065154835813994453294389352329249969245737730829<78>

Number: n
N=18293198058131029886008539105643693342666898885393741231667535205553794675265540483405872339044239230586078519204853493392525202641156137441025133349173357215094210013701390452240661  ( 182 digits)
SNFS difficulty: 205 digits.
Divisors found:

Tue Oct 26 18:46:26 2021  found factor: 23309583344877388848652369089282551266323528869
Tue Oct 26 18:48:27 2021  p47 factor: 23309583344877388848652369089282551266323528869
Tue Oct 26 18:48:27 2021  p58 factor: 6537124004183704561378640999219193179282868134375677214261
Tue Oct 26 18:48:27 2021  p78 factor: 120051724393012797605272997824065154835813994453294389352329249969245737730829
Tue Oct 26 18:48:27 2021  elapsed time 01:38:58 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.801).
Factorization parameters were as follows:
#
# N = 4x10^204-7 = 13(203)1
#
n: 18293198058131029886008539105643693342666898885393741231667535205553794675265540483405872339044239230586078519204853493392525202641156137441025133349173357215094210013701390452240661
m: 100000000000000000000000000000000000000000
deg: 5
c5: 2
c0: -35
skew: 1.77
# Murphy_E = 1.46e-11
type: snfs
lss: 1
rlim: 18500000
alim: 18500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18500000/18500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 29250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7786390 hash collisions in 65744626 relations (59647585 unique)
Msieve: matrix is 1979253 x 1979481 (684.2 MB)

Sieving start time : 2021/10/26 07:36:31
Sieving end time  : 2021/10/26 17:08:02

Total sieving time: 9hrs 31min 31secs.

Total relation processing time: 1hrs 16min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 3sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18500000,18500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

701885170037977538944263742672685994750722495140889547443174260783564583245680277212907477518297000058093375625101538109003980756508885665863291216580345375091196748659802327751747025451<186>

780079180838521569446101664813236771038430880305105724125848183285972015457<75>
899761443810752853259051014626414377978907053479440301890633802399828877611416512762111581873544285283533554443<111>

Number: n
N=701885170037977538944263742672685994750722495140889547443174260783564583245680277212907477518297000058093375625101538109003980756508885665863291216580345375091196748659802327751747025451  ( 186 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Oct 20 23:20:55 2021  p75 factor: 780079180838521569446101664813236771038430880305105724125848183285972015457
Wed Oct 20 23:20:55 2021  p111 factor: 899761443810752853259051014626414377978907053479440301890633802399828877611416512762111581873544285283533554443
Wed Oct 20 23:20:55 2021  elapsed time 01:37:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 4x10^205-7 = 13(204)1
#
n: 701885170037977538944263742672685994750722495140889547443174260783564583245680277212907477518297000058093375625101538109003980756508885665863291216580345375091196748659802327751747025451
m: 100000000000000000000000000000000000000000
deg: 5
c5: 4
c0: -7
skew: 1.12
# Murphy_E = 1.462e-11
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 29350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8509835 hash collisions in 63647183 relations (57891872 unique)
Msieve: matrix is 2015777 x 2016006 (697.2 MB)

Sieving start time : 2021/10/20 12:03:05
Sieving end time  : 2021/10/20 21:42:38

Total sieving time: 9hrs 39min 33secs.

Total relation processing time: 1hrs 19min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 8sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18700000,18700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

32865006983813984060471612850217730671267767644400624435132692465697148960644154136882754087585243611864267521156848245830252238928600772327664119628625421082901980116670774792539643414674225618272943883<203>

3353467535750541172103349795155409050168156326789<49>
1335430767847116433748864621840760206656010022060801559676455393699<67>
7338684961833013019126031806205309669749043405335372616401108199891278729511198209482853<88>

Number: n
N=32865006983813984060471612850217730671267767644400624435132692465697148960644154136882754087585243611864267521156848245830252238928600772327664119628625421082901980116670774792539643414674225618272943883
  ( 203 digits)
SNFS difficulty: 206 digits.
Divisors found:

Fri Aug 24 23:47:24 2012  prp49 factor: 3353467535750541172103349795155409050168156326789
Fri Aug 24 23:47:24 2012  prp67 factor: 1335430767847116433748864621840760206656010022060801559676455393699
Fri Aug 24 23:47:24 2012  prp88 factor: 7338684961833013019126031806205309669749043405335372616401108199891278729511198209482853
Fri Aug 24 23:47:24 2012  elapsed time 08:17:28 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
name: KA_13331_206
n: 32865006983813984060471612850217730671267767644400624435132692465697148960644154136882754087585243611864267521156848245830252238928600772327664119628625421082901980116670774792539643414674225618272943883
m: 100000000000000000000000000000000000000000
#  c203, diff: 206.6
skew: 0.706
deg: 5
c5: 40
c0: -7
# Murphy_E = 1.179e-11
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 21100000)
Primes: RFBsize:1234873, AFBsize:1232593,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8625958 hash collisions in 60433724 relations (54145242 unique)
Msieve: matrix is 2180486 x 2180711 (619.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5662.11 BogoMIPS (lpj=2831056)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.83 BogoMIPS).

114822371949727994728236809786537612466132299824412227968205143888071250560270191125351786860813520303323924400093456111111789362170233116175280597572909549676914616733<168>

3048775605698212491721911522208215646590686901067161408403<58>
37661798308515413579780395222988131991469062909626093175751409595924883516945993523801195455819117348721028111<110>

07/28/24 06:53:43 v1.34.5 @ RYZEN-9,
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, ****************************
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, Starting factorization of 3999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, using pretesting plan: normal
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, ****************************
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, div: found prime factor = 3
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, div: found prime factor = 11
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, div: found prime factor = 379
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C204
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C204
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, prp5 = 48281
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C199
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C199
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C199
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.23
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, prp10 = 5473730267 (curve 3 stg1 B1=2000 sigma=856804543 thread=0)
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, Finished 3 curves using Lenstra ECM method on C199 input, B1=2K, B2=gmp-ecm default
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, scheduled 27 curves at B1=2000 toward target pretesting depth of 58.46
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, Finished 27 curves using Lenstra ECM method on C190 input, B1=2K, B2=gmp-ecm default
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
07/28/24 06:53:43 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 58.46
07/28/24 06:53:45 v1.34.5 @ RYZEN-9, prp23 = 10539516259523050892189 (curve 39 stg2 B1=11000 sigma=864920757 thread=0)
07/28/24 06:53:45 v1.34.5 @ RYZEN-9, Finished 39 curves using Lenstra ECM method on C190 input, B1=11K, B2=gmp-ecm default
07/28/24 06:53:45 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 17.81
07/28/24 06:53:45 v1.34.5 @ RYZEN-9, scheduled 35 curves at B1=11000 toward target pretesting depth of 51.69
07/28/24 06:53:45 v1.34.5 @ RYZEN-9, Finished 35 curves using Lenstra ECM method on C168 input, B1=11K, B2=gmp-ecm default
07/28/24 06:53:45 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
07/28/24 06:53:45 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 51.69
07/28/24 06:54:21 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c208: 3999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
07/28/24 06:54:21 v1.34.5 @ RYZEN-9, nfs: input divides 4*10^207 - 7
07/28/24 06:54:21 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 114822371949727994728236809786537612466132299824412227968205143888071250560270191125351786860813520303323924400093456111111789362170233116175280597572909549676914616733
07/28/24 06:54:21 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c168: 114822371949727994728236809786537612466132299824412227968205143888071250560270191125351786860813520303323924400093456111111789362170233116175280597572909549676914616733
07/28/24 06:54:21 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 114822371949727994728236809786537612466132299824412227968205143888071250560270191125351786860813520303323924400093456111111789362170233116175280597572909549676914616733
# 4*10^207-7, difficulty: 209.60, anorm: -1.33e+026, rnorm: 1.50e+047
# scaled difficulty: 213.11, suggest sieving rational side
# size = 2.901e-014, alpha = -0.899, combined = 8.894e-012, rroots = 1
type: snfs
size: 209
skew: 0.4453
c5: 400
c0: -7
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 114822371949727994728236809786537612466132299824412227968205143888071250560270191125351786860813520303323924400093456111111789362170233116175280597572909549676914616733
# 4*10^207-7, difficulty: 208.51, anorm: 5.98e+025, rnorm: 2.12e+047
# scaled difficulty: 212.10, suggest sieving rational side
# size = 2.901e-014, alpha = -0.206, combined = 8.810e-012, rroots = 1
type: snfs
size: 208
skew: 0.8905
c5: 25
c0: -14
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 114822371949727994728236809786537612466132299824412227968205143888071250560270191125351786860813520303323924400093456111111789362170233116175280597572909549676914616733
# 4*10^207-7, difficulty: 208.51, anorm: 8.05e+031, rnorm: 2.40e+040
# scaled difficulty: 209.92, suggest sieving rational side
# size = 1.657e-010, alpha = 1.106, combined = 4.771e-012, rroots = 2
type: snfs
size: 208
skew: 0.6943
c6: 125
c0: -14
Y1: -1
Y0: 20000000000000000000000000000000000
m: 20000000000000000000000000000000000
07/28/24 06:54:23 v1.34.5 @ RYZEN-9, test: fb generation took 1.7349 seconds
07/28/24 06:54:23 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.4453
c5: 400
c0: -7
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
07/28/24 06:57:33 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
07/28/24 06:57:34 v1.34.5 @ RYZEN-9, test: fb generation took 1.5626 seconds
07/28/24 06:57:34 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 20200000-20202000
skew: 0.8905
c5: 25
c0: -14
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
07/28/24 07:01:01 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
07/28/24 07:01:03 v1.34.5 @ RYZEN-9, test: fb generation took 2.2969 seconds
07/28/24 07:01:03 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 20200000-20202000
skew: 0.6943
c6: 125
c0: -14
Y1: -1
Y0: 20000000000000000000000000000000000
m: 20000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
07/28/24 07:04:18 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
07/28/24 07:04:18 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 114822371949727994728236809786537612466132299824412227968205143888071250560270191125351786860813520303323924400093456111111789362170233116175280597572909549676914616733
# 4*10^207-7, difficulty: 208.51, anorm: 5.98e+025, rnorm: 2.12e+047
# scaled difficulty: 212.10, suggest sieving rational side
# size = 2.901e-014, alpha = -0.206, combined = 8.810e-012, rroots = 1
type: snfs
size: 208
skew: 0.8905
c5: 25
c0: -14
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
07/29/24 03:30:19 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
07/29/24 03:32:24 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22226558
07/29/24 04:48:46 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
07/29/24 04:50:58 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23516713
07/29/24 06:06:23 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
07/29/24 06:08:43 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24791165
07/29/24 07:24:19 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
07/29/24 07:28:36 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
07/29/24 10:50:27 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
07/29/24 10:53:47 v1.34.5 @ RYZEN-9, prp58 = 3048775605698212491721911522208215646590686901067161408403
07/29/24 10:53:47 v1.34.5 @ RYZEN-9, prp110 = 37661798308515413579780395222988131991469062909626093175751409595924883516945993523801195455819117348721028111
07/29/24 10:53:47 v1.34.5 @ RYZEN-9, NFS elapsed time = 100765.7377 seconds.
07/29/24 10:53:47 v1.34.5 @ RYZEN-9,
07/29/24 10:53:47 v1.34.5 @ RYZEN-9,

YAFU

1053079165305232758270495441365091778876858951287427453705389361673167982528574184253944354085864231400035315009808510980548601064626178352804635464931423879660010232243709688294095735268956023914269457<202>

1860845825879338468038227671165180118865657511995833903542979943413842705096516156563553123<91>
565914247521071548640688706332280492922369349547108933884611120261063371341051848862422904254066808335525182459<111>

Number: n
N=1053079165305232758270495441365091778876858951287427453705389361673167982528574184253944354085864231400035315009808510980548601064626178352804635464931423879660010232243709688294095735268956023914269457  ( 202 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sun Sep 13 11:52:11 2020  p91 factor: 1860845825879338468038227671165180118865657511995833903542979943413842705096516156563553123
Sun Sep 13 11:52:11 2020  p111 factor: 565914247521071548640688706332280492922369349547108933884611120261063371341051848862422904254066808335525182459
Sun Sep 13 11:52:11 2020  elapsed time 02:29:00 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 4x10^208-7 = 13(207)1
#
n: 1053079165305232758270495441365091778876858951287427453705389361673167982528574184253944354085864231400035315009808510980548601064626178352804635464931423879660010232243709688294095735268956023914269457
m: 200000000000000000000000000000000000000000
deg: 5
c5: 125
c0: -7
skew: 0.56
# Murphy_E = 8.822e-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, 36100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9636919 hash collisions in 67055155 relations (60189695 unique)
Msieve: matrix is 2356812 x 2357041 (816.1 MB)

Sieving start time: 2020/09/12 17:36:00
Sieving end time  : 2020/09/13 09:21:28

Total sieving time: 15hrs 45min 28secs.

Total relation processing time: 1hrs 56min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 47sec.

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) ----------
[    0.150649] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283124K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2724K bss, 420336K reserved, 0K cma-reserved)
[    0.184730] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.80 BogoMIPS (lpj=11977604)
[    0.182223] smpboot: Total of 16 processors activated (95820.83 BogoMIPS)

95295128974277254670511062907093199061990105806896870570589287276236909892547581511755538875272284113994857249715538296116373884366018796176670650473<149>

1216663810987283364662394329602142508034013969270279386617521458606546725892362623894484256388089859223046042393120037418249872223772035578879186797900798830867621759158620175949474802023561888028637<199>

23116777443117322569585028498785680318171919190244498752868919491617775771982011322091185368438140587440898924173390317905693304544992890279145191356976601390009995674385764097658223345532256289983<197>

2183196779639655808982660088381941106881<40>
10588499240518679567902921764600791434798921875927513599487086452002820192741736146050477943849123131736614504559009660429483457044981956160649897909931126143<158>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1773926409
Step 1 took 72717ms
Step 2 took 33968ms
********** Factor found in step 2: 2183196779639655808982660088381941106881
Found probable prime factor of 40 digits: 2183196779639655808982660088381941106881

14459213258472749526994778362899306036659833570297240491284216251288723365678378580445661006849789505488152855289084542925076107471977040539013026535704158941904665394926046858524487745352730999157<197>

63276062955135484153110175388854423387<38>
228510001779420760153810819061191670909136164066452594436225918450580886360694256409351005588465491350279018280336048845737055597114085789831334818051936633711<159>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3463879214
Step 1 took 12292ms
Step 2 took 8565ms
********** Factor found in step 2: 63276062955135484153110175388854423387
Found probable prime factor of 38 digits: 63276062955135484153110175388854423387
Probable prime cofactor 228510001779420760153810819061191670909136164066452594436225918450580886360694256409351005588465491350279018280336048845737055597114085789831334818051936633711 has 159 digits

GMP-ECM 6.3

911896269096457872915625211964785194414699525790743867510360476257278791403621898173154416672918528108193176088617<114>

800122174842626279785364935145005396247<39>
1139696283602958656883889769147972795233382082213034852142110804596273131711<76>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4250261246
Step 1 took 11232ms
Step 2 took 7862ms
********** Factor found in step 2: 800122174842626279785364935145005396247
Found probable prime factor of 39 digits: 800122174842626279785364935145005396247
Probable prime cofactor 1139696283602958656883889769147972795233382082213034852142110804596273131711 has 76 digits

GMP-ECM 6.3

27049634913800098312814279455843568849119010344873655632412147791705710142776507777275421259423329314188545644108227092281690358073526290859383353761<149>

16190155354946858588861810391450956597<38>
1670745852697154931351175051151961969486418880749267089920374209922946613748120480447114235758400357368546494013<112>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2238535516
Step 1 took 7815ms
Step 2 took 6365ms
********** Factor found in step 2: 16190155354946858588861810391450956597
Found probable prime factor of 38 digits: 16190155354946858588861810391450956597
Probable prime cofactor 1670745852697154931351175051151961969486418880749267089920374209922946613748120480447114235758400357368546494013 has 112 digits

GMP-ECM 6.3

1212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121<217>

3986690981386639152463320423234708281456176102937<49>
304041927949884813978328212544276012328047366993408234482529192923124146042121662397624240939143509915342894764087991536805330118303464102812088763139631728100334269633<168>

Number: n
N=1212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121
  ( 217 digits)
SNFS difficulty: 217 digits.
Divisors found:

Fri Nov 24 14:49:54 2017  prp49 factor: 3986690981386639152463320423234708281456176102937
Fri Nov 24 14:49:54 2017  prp168 factor: 304041927949884813978328212544276012328047366993408234482529192923124146042121662397624240939143509915342894764087991536805330118303464102812088763139631728100334269633
Fri Nov 24 14:49:54 2017  elapsed time 17:11:17 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.817).
Factorization parameters were as follows:
#
# 4x10^217-7 13(216)1
#
n: 1212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121
m: 1000000000000000000000000000000000000
deg: 6
c6: 40
c0: -7
skew: 0.75
# Murphy_E = 3.714e-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, 76600000)
Primes: RFBsize:1857859, AFBsize:1854773,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11789925 hash collisions in 70827540 relations (60487906 unique)
Msieve: matrix is 3654994 x 3655219 (1045.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 16hrs 36min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 4sec.

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) ----------

122736169704847127498026248970933927130922365383736168784325854711672792735737059848917911901818428406304588829228882398191114330889963034934089142666375781944466178974496344456605553259366380660707211946647814391<213>

8270251689826793728821247209797169206999605999760339<52>
19624279570281547910602476987706908533272155338993261<53>
756240821966869727429154892363778902556957387140119189508647913182064088321002881516253818810723085414434529<108>

Number: n
N=122736169704847127498026248970933927130922365383736168784325854711672792735737059848917911901818428406304588829228882398191114330889963034934089142666375781944466178974496344456605553259366380660707211946647814391
  ( 213 digits)
SNFS difficulty: 218 digits.
Divisors found:

Fri Jun  1 08:00:31 2018  found factor: 8270251689826793728821247209797169206999605999760339
Fri Jun  1 08:21:15 2018  found factor: 8270251689826793728821247209797169206999605999760339
Fri Jun  1 08:35:05 2018  found factor: 8270251689826793728821247209797169206999605999760339
Fri Jun  1 08:41:58 2018  p52 factor: 8270251689826793728821247209797169206999605999760339
Fri Jun  1 08:41:58 2018  p53 factor: 19624279570281547910602476987706908533272155338993261
Fri Jun  1 08:41:58 2018  p108 factor: 756240821966869727429154892363778902556957387140119189508647913182064088321002881516253818810723085414434529
Fri Jun  1 08:41:58 2018  elapsed time 07:01:09 (Msieve 1.53 - dependency 7)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.126).
Factorization parameters were as follows:
#
# 4x10^218-7 = 13(217)1
#
n: 122736169704847127498026248970933927130922365383736168784325854711672792735737059848917911901818428406304588829228882398191114330889963034934089142666375781944466178974496344456605553259366380660707211946647814391
m: 1000000000000000000000000000000000000
deg: 6
c6: 400
c0: -7
skew: 0.51
# Murphy_E = 3.506e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 57900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14047100 hash collisions in 74477926 relations (62889192 unique)
Msieve: matrix is 3834024 x 3834250 (1083.4 MB)

Sieving start time: 2018/05/30 19:03:42
Sieving end time  : 2018/06/01 01:38:57

Total sieving time: 30hrs 35min 15secs.

Total relation processing time: 5hrs 51min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 48min 19sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286860K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416600K reserved, 0K cma-reserved)
[    0.068658] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977272)
[    0.066211] smpboot: Total of 16 processors activated (95818.17 BogoMIPS)

13910880339367550161421484091222513901938639146058091018688962939048259017289575404651573462107969582726896725951560575203075653002693853603784839599605699321016303724313774365030050851814604930581<197>

12439941228177910602689169396710417446729<41>

1118243252456674936826624374677657881552052380329151153642310862453615239345874870723569499944013392015956011079583929008867442646084886779734688043247457389<157>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3129726424
Step 1 took 123589ms
Step 2 took 40740ms
********** Factor found in step 2: 12439941228177910602689169396710417446729
Found probable prime factor of 41 digits: 12439941228177910602689169396710417446729

1118243252456674936826624374677657881552052380329151153642310862453615239345874870723569499944013392015956011079583929008867442646084886779734688043247457389<157>

402098121723425062438391908022624818609609<42>
2781020830596755682948585252318920083392985724313661754190617874233774147299328547770201669798116755895938866668421<115>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=812891773
Step 1 took 274042ms
Step 2 took 99160ms
********** Factor found in step 2: 402098121723425062438391908022624818609609
Found probable prime factor of 42 digits: 402098121723425062438391908022624818609609

7555182088411639541564619295753469256792155436523535990395300490304731035238225997019199529160023351224497051594029323624766068089291135564906031036834213726370429675140716239654426795508394299<193>

49913068757458669786835956720691937142196292978747742978874828496691951880057895232045899101339932545671635652935204850901821692667130225629842273268968033424465944175261689<173>

237140808980290917755939047932478912107029<42>

210478613833214215346168954397476206011478081262909189276875974437036098119878811662340335576289164142554460710289097417266214771541<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2271931114
Step 1 took 98441ms
Step 2 took 32841ms
********** Factor found in step 2: 237140808980290917755939047932478912107029
Found probable prime factor of 42 digits: 237140808980290917755939047932478912107029

210478613833214215346168954397476206011478081262909189276875974437036098119878811662340335576289164142554460710289097417266214771541<132>

55343309447723399778749515571959568011404931<44>
3803144696867643779920455023651323820998448224988724443912564542387758374865811246698311<88>

N = 210478613833214215346168954397476206011478081262909189276875974437036098119878811662340335576289164142554460710289097417266214771541 (132 digits)
Divisors found:
r1=55343309447723399778749515571959568011404931 (pp44)
r2=3803144696867643779920455023651323820998448224988724443912564542387758374865811246698311 (pp88)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 31.38 hours.
Factorization parameters were as follows:
n: 210478613833214215346168954397476206011478081262909189276875974437036098119878811662340335576289164142554460710289097417266214771541
Y0: -38047197465346544169220826
Y1: 120557765369531
c0: -2453388034138789891472421336962271
c1: 9580095166351604818441005999
c2: 30815269948467548860189
c3: -16516093063989511
c4: -17868000710
c5: 2640
skew: 1307907.10
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20416644
Relations: 2777394 relations
Pruned matrix : 1580943 x 1581174
Polynomial selection time: 0.00 hours.
Total sieving time: 28.55 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.59 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 31.38 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

1789633377883669378596944054781149998010973026404385508514418819191872154053407110017698744174899921529933596890348380592531516515082382459989990143745443201906591392419914879523733<181>

2698444660431256220274507161869<31>

663209219787244507441665342003695271767286038898354650325557943476356411742804892867111890961256967187376843745915384806790193845886874064784628658857<150>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4284479682
Step 1 took 10515ms
Step 2 took 6365ms
********** Factor found in step 2: 2698444660431256220274507161869
Found probable prime factor of 31 digits: 2698444660431256220274507161869
Composite cofactor 663209219787244507441665342003695271767286038898354650325557943476356411742804892867111890961256967187376843745915384806790193845886874064784628658857 has 150 digits

GMP-ECM 6.3

663209219787244507441665342003695271767286038898354650325557943476356411742804892867111890961256967187376843745915384806790193845886874064784628658857<150>

260538657341831753555037746237349514467093091424301488708837286080592743153<75>
2545530964785395335865366865213177961353197151137576789389705428217956922169<76>

Number: 13331_226
N = 663209219787244507441665342003695271767286038898354650325557943476356411742804892867111890961256967187376843745915384806790193845886874064784628658857 (150 digits)
Divisors found:
r1=260538657341831753555037746237349514467093091424301488708837286080592743153 (pp75)
r2=2545530964785395335865366865213177961353197151137576789389705428217956922169 (pp76)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 226.61 hours.
Factorization parameters were as follows:
n:  663209219787244507441665342003695271767286038898354650325557943476356411742804892867111890961256967187376843745915384806790193845886874064784628658857
# norm 1.505586e-14 alpha -7.985046 e 4.769e-12 rroots 5
skew: 18894938.77
c0: -32230870759102953791238615460398386295
c1: -362827011945306839617539352878
c2: 105564466116673894672021481
c3: 5042482635292150486
c4: -247206883950
c5: 396
Y0: -278478245925689303900779197764
Y1: 1031958422957161
type: gnfs
Factor base limits: 20800000/20800000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 46034573
Relations: 7206570 relations
Pruned matrix : 4349062 x 4349286
Polynomial selection time: 0.70 hours.
Total sieving time: 209.54 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 14.56 hours.
time per square root: 1.31 hours.
Prototype def-par.txt line would be: gnfs,149,5,65,2000,1e-05,0.28,250,20,50000,3600,20800000,20800000,29,29,58,58,2.6,2.6,100000
total time: 226.61 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

136224219450513657591966146498953564455394114909655107839915590164589201936777343175451014097045960999218216144175801476871708163977923516532450443448188121212055562945374529670254491795891345510338868589354860222551<216>

11090627609417230637261760554535325645313810106443246636718540041775871620185345268174343368078801793676635510955440941501976892789269753888548185478104371444246613958811779098240974135242703636522003<200>

1491336927463322894891170788205345617777387457581352176611518394401166779816474946483544670450080508915034668765140839086454164864702463830396921792471763350798177715879<169>

2322819211103541296104497926741286538471<40>

642037451875046294757202816235441391665075793380332364945931810104472131079833072536119472040751323258282382669679744241030774849<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3218554677
Step 1 took 130153ms
********** Factor found in step 1: 2322819211103541296104497926741286538471
Found probable prime factor of 40 digits: 2322819211103541296104497926741286538471
Composite cofactor 642037451875046294757202816235441391665075793380332364945931810104472131079833072536119472040751323258282382669679744241030774849 has 129 digits

642037451875046294757202816235441391665075793380332364945931810104472131079833072536119472040751323258282382669679744241030774849<129>

3004412937201702605929608215919714432409623822127<49>
213698138469952548784909964482262108232301182207585327283381942539035151674137487<81>

Fri Sep 14 01:46:00 2012  commencing relation filtering
Fri Sep 14 01:46:00 2012  estimated available RAM is 48158.0 MB
Fri Sep 14 01:46:00 2012  commencing duplicate removal, pass 1
Fri Sep 14 01:48:43 2012  found 1720575 hash collisions in 12503032 relations
Fri Sep 14 01:49:06 2012  added 138 free relations
Fri Sep 14 01:49:06 2012  commencing duplicate removal, pass 2
Fri Sep 14 01:49:12 2012  found 1458311 duplicates and 11044859 unique relations
Fri Sep 14 01:49:12 2012  memory use: 53.3 MB
Fri Sep 14 01:49:12 2012  reading ideals above 720000
Fri Sep 14 01:49:13 2012  commencing singleton removal, initial pass
Fri Sep 14 01:51:57 2012  memory use: 344.5 MB
Fri Sep 14 01:51:57 2012  reading all ideals from disk
Fri Sep 14 01:51:58 2012  memory use: 327.5 MB
Fri Sep 14 01:51:58 2012  commencing in-memory singleton removal
Fri Sep 14 01:51:59 2012  begin with 11044859 relations and 11604813 unique ideals
Fri Sep 14 01:52:06 2012  reduce to 5018888 relations and 4660359 ideals in 17 passes
Fri Sep 14 01:52:06 2012  max relations containing the same ideal: 88
Fri Sep 14 01:52:08 2012  removing 851555 relations and 739680 ideals in 111875 cliques
Fri Sep 14 01:52:09 2012  commencing in-memory singleton removal
Fri Sep 14 01:52:09 2012  begin with 4167333 relations and 4660359 unique ideals
Fri Sep 14 01:52:12 2012  reduce to 4065162 relations and 3815658 ideals in 10 passes
Fri Sep 14 01:52:12 2012  max relations containing the same ideal: 75
Fri Sep 14 01:52:14 2012  removing 634843 relations and 522968 ideals in 111875 cliques
Fri Sep 14 01:52:14 2012  commencing in-memory singleton removal
Fri Sep 14 01:52:15 2012  begin with 3430319 relations and 3815658 unique ideals
Fri Sep 14 01:52:16 2012  reduce to 3356408 relations and 3216677 ideals in 10 passes
Fri Sep 14 01:52:16 2012  max relations containing the same ideal: 66
Fri Sep 14 01:52:20 2012  relations with 0 large ideals: 508
Fri Sep 14 01:52:20 2012  relations with 1 large ideals: 2366
Fri Sep 14 01:52:20 2012  relations with 2 large ideals: 32222
Fri Sep 14 01:52:20 2012  relations with 3 large ideals: 182719
Fri Sep 14 01:52:20 2012  relations with 4 large ideals: 543432
Fri Sep 14 01:52:20 2012  relations with 5 large ideals: 921623
Fri Sep 14 01:52:20 2012  relations with 6 large ideals: 920006
Fri Sep 14 01:52:20 2012  relations with 7+ large ideals: 753532
Fri Sep 14 01:52:20 2012  commencing 2-way merge
Fri Sep 14 01:52:23 2012  reduce to 2023016 relation sets and 1883285 unique ideals
Fri Sep 14 01:52:23 2012  commencing full merge
Fri Sep 14 01:52:53 2012  memory use: 219.1 MB
Fri Sep 14 01:52:53 2012  found 1004506 cycles, need 983485
Fri Sep 14 01:52:55 2012  weight of 983485 cycles is about 68979133 (70.14/cycle)
Fri Sep 14 01:52:55 2012  distribution of cycle lengths:
Fri Sep 14 01:52:55 2012  1 relations: 124429
Fri Sep 14 01:52:55 2012  2 relations: 111474
Fri Sep 14 01:52:55 2012  3 relations: 110462
Fri Sep 14 01:52:55 2012  4 relations: 100503
Fri Sep 14 01:52:55 2012  5 relations: 91555
Fri Sep 14 01:52:55 2012  6 relations: 78927
Fri Sep 14 01:52:55 2012  7 relations: 68679
Fri Sep 14 01:52:55 2012  8 relations: 59725
Fri Sep 14 01:52:55 2012  9 relations: 50216
Fri Sep 14 01:52:55 2012  10+ relations: 187515
Fri Sep 14 01:52:55 2012  heaviest cycle: 20 relations
Fri Sep 14 01:52:55 2012  commencing cycle optimization
Fri Sep 14 01:52:59 2012  start with 5792310 relations
Fri Sep 14 01:53:09 2012  pruned 142047 relations
Fri Sep 14 01:53:10 2012  memory use: 191.6 MB
Fri Sep 14 01:53:10 2012  distribution of cycle lengths:
Fri Sep 14 01:53:10 2012  1 relations: 124429
Fri Sep 14 01:53:10 2012  2 relations: 114106
Fri Sep 14 01:53:10 2012  3 relations: 114429
Fri Sep 14 01:53:10 2012  4 relations: 102786
Fri Sep 14 01:53:10 2012  5 relations: 93572
Fri Sep 14 01:53:10 2012  6 relations: 80032
Fri Sep 14 01:53:10 2012  7 relations: 69625
Fri Sep 14 01:53:10 2012  8 relations: 59916
Fri Sep 14 01:53:10 2012  9 relations: 49917
Fri Sep 14 01:53:10 2012  10+ relations: 174673
Fri Sep 14 01:53:10 2012  heaviest cycle: 20 relations
Fri Sep 14 01:53:11 2012  RelProcTime: 431
Fri Sep 14 01:53:11 2012  
Fri Sep 14 01:53:11 2012  commencing linear algebra
Fri Sep 14 01:53:12 2012  read 983485 cycles
Fri Sep 14 01:53:16 2012  cycles contain 3204631 unique relations
Fri Sep 14 01:54:00 2012  read 3204631 relations
Fri Sep 14 01:54:04 2012  using 20 quadratic characters above 134217542
Fri Sep 14 01:54:21 2012  building initial matrix
Fri Sep 14 01:55:21 2012  memory use: 416.3 MB
Fri Sep 14 01:55:22 2012  read 983485 cycles
Fri Sep 14 01:55:22 2012  matrix is 983297 x 983485 (298.6 MB) with weight 95202457 (96.80/col)
Fri Sep 14 01:55:22 2012  sparse part has weight 66464417 (67.58/col)
Fri Sep 14 01:55:45 2012  filtering completed in 2 passes
Fri Sep 14 01:55:45 2012  matrix is 981229 x 981417 (298.3 MB) with weight 95103944 (96.90/col)
Fri Sep 14 01:55:45 2012  sparse part has weight 66429269 (67.69/col)
Fri Sep 14 01:55:48 2012  matrix starts at (0, 0)
Fri Sep 14 01:55:49 2012  matrix is 981229 x 981417 (298.3 MB) with weight 95103944 (96.90/col)
Fri Sep 14 01:55:49 2012  sparse part has weight 66429269 (67.69/col)
Fri Sep 14 01:55:49 2012  saving the first 48 matrix rows for later
Fri Sep 14 01:55:49 2012  matrix includes 64 packed rows
Fri Sep 14 01:55:49 2012  matrix is 981181 x 981417 (288.9 MB) with weight 75950643 (77.39/col)
Fri Sep 14 01:55:49 2012  sparse part has weight 65926764 (67.18/col)
Fri Sep 14 01:55:49 2012  using block size 65536 for processor cache size 12288 kB
Fri Sep 14 01:56:08 2012  commencing Lanczos iteration (16 threads)
Fri Sep 14 01:56:08 2012  memory use: 337.3 MB
Fri Sep 14 01:56:13 2012  checkpointing every 1460000 dimensions
Fri Sep 14 01:56:16 2012  linear algebra at 0.3%, ETA 0h43m
Fri Sep 14 02:39:49 2012  lanczos halted after 15518 iterations (dim = 981179)
Fri Sep 14 02:39:52 2012  recovered 29 nontrivial dependencies
Fri Sep 14 02:39:52 2012  BLanczosTime: 2801
Fri Sep 14 02:39:52 2012  
Fri Sep 14 02:39:52 2012  commencing square root phase
Fri Sep 14 02:39:52 2012  reading relations for dependency 1
Fri Sep 14 02:39:52 2012  read 490592 cycles
Fri Sep 14 02:39:54 2012  cycles contain 1601656 unique relations
Fri Sep 14 02:40:18 2012  read 1601656 relations
Fri Sep 14 02:40:25 2012  multiplying 1601656 relations
Fri Sep 14 02:42:19 2012  multiply complete, coefficients have about 70.04 million bits
Fri Sep 14 02:42:20 2012  initial square root is modulo 106637
Fri Sep 14 02:44:46 2012  sqrtTime: 294

prp49 = 3004412937201702605929608215919714432409623822127
prp81 = 213698138469952548784909964482262108232301182207585327283381942539035151674137487
NFS elapsed time = 28907.2911 seconds.

YAFU 1.32

39630763561493439405750257351927891768648406698906678643734393079762981846700913473229837171329488297121641783147808353008832484867803345015301544229868183193473098342229098329246131908968166391<194>

164992277823753729940454964216615313<36>

240197687335569643299144128406514151282775252932283182289954873153589536095825298836595852776358232234588502793439832007709831814387518466525595000484147718407<159>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2214072332
Step 1 took 10280ms
Step 2 took 5679ms
********** Factor found in step 2: 164992277823753729940454964216615313
Found probable prime factor of 36 digits: 164992277823753729940454964216615313
Composite cofactor 240197687335569643299144128406514151282775252932283182289954873153589536095825298836595852776358232234588502793439832007709831814387518466525595000484147718407 has 159 digits

GMP-ECM 6.3

30860098478741894476549906927737142481919662420076774742139039043809500697241772426743620582943751648692651628871766326421390481883793106285427470542279768928453254630773856005021320968366836490451292927984044189<212>

297903433860829127345127872328919<33>

103590945826957928945630167215776914567173457465360206751698884023208407507429930090116505371792499118849299332814703952598880055559811471389265637627620834036935379877670345788331<180>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1832453666
Step 1 took 12199ms
Step 2 took 8611ms
********** Factor found in step 2: 297903433860829127345127872328919
Found probable prime factor of 33 digits: 297903433860829127345127872328919
Composite cofactor 103590945826957928945630167215776914567173457465360206751698884023208407507429930090116505371792499118849299332814703952598880055559811471389265637627620834036935379877670345788331 has 180 digits

GMP-ECM 6.3

103590945826957928945630167215776914567173457465360206751698884023208407507429930090116505371792499118849299332814703952598880055559811471389265637627620834036935379877670345788331<180>

11405393847233804784569977031238097061783<41>

9082627677261864145971972606301519378231406924695450646758546800627995586121079392248866556892875977550862864398961873475981371941636914957<139>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4091051674
Step 1 took 10499ms
Step 2 took 6318ms
********** Factor found in step 2: 11405393847233804784569977031238097061783
Found probable prime factor of 41 digits: 11405393847233804784569977031238097061783
Composite cofactor 9082627677261864145971972606301519378231406924695450646758546800627995586121079392248866556892875977550862864398961873475981371941636914957 has 139 digits

GMP-ECM 6.3

9082627677261864145971972606301519378231406924695450646758546800627995586121079392248866556892875977550862864398961873475981371941636914957<139>

771460718078692287921421897780177916503968006992150423597<57>
11773286007201986055901794233359306236645228874819006879281218935337937051778358881<83>

Number: 13331
N=9082627677261864145971972606301519378231406924695450646758546800627995586121079392248866556892875977550862864398961873475981371941636914957
  ( 139 digits)
Divisors found:
 r1=771460718078692287921421897780177916503968006992150423597 (pp57)
 r2=11773286007201986055901794233359306236645228874819006879281218935337937051778358881 (pp83)
Version: Msieve-1.40
Total time: 430.29 hours.
Scaled time: 834.34 units (timescale=1.939).
Factorization parameters were as follows:
# Murphy_E = 2.47e-11, selected by Dmitry Domanov
n: 9082627677261864145971972606301519378231406924695450646758546800627995586121079392248866556892875977550862864398961873475981371941636914957
Y0: -929311956924209184957798664
Y1: 1758268753261
c0: 104389405930850188779456942046082353
c1: -16325900739674188466482599212
c2: -183887481034621489153217
c3: -12001259464740408
c4: 34299884180
c5: 13104
skew: 1746193.18
type: gnfs
# selected mechanically
rlim: 17100000
alim: 17100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 600000
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [8550000, 14550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2255507 x 2255733
Total sieving time: 423.61 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 5.95 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
gnfs,138,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,17100000,17100000,28,28,55,55,2.6,2.6,100000
total time: 430.29 hours.
 --------- CPU info (if available) ----------

45661678242472872111570657851223065174853976806835461909541704009357904339012390410545290620029654976934574006792859563741476819677808915237199290737151859668877490972971596952128638993178259424770159088711622643671902120539753<227>

243530322274189622607268495667271625951300684441079082346958584323356460587025125060747753476477153512920293258211268602753294376622276326020551548407654931415636488417569757179508925554347225987399406589<204>

64508845775476962278452432789846307674939926137371587078878191171964455625977712193784572709532794684471108100698308255519538116664247584950086280581224700437047430128856419436515232151208734497717999580692502459399745190059186865999<233>

36848419794132436068444921972108922259239827038559449968743735336145502153474328839963657793574517816249804262690975147893513801970961579878843081674108738251961896925134061434912832897039961794931615074226075754361<215>

45376856261552095745787043295630200115516810413207<50>
812053166084010505755848277743343920761781093698442166975419939635441053361292015921324399705042691045068664654497585768198054821915883016951536487023920377099955823<165>

Number: 13331_240
N = 36848419794132436068444921972108922259239827038559449968743735336145502153474328839963657793574517816249804262690975147893513801970961579878843081674108738251961896925134061434912832897039961794931615074226075754361 (215 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=45376856261552095745787043295630200115516810413207 (pp50)
r2=812053166084010505755848277743343920761781093698442166975419939635441053361292015921324399705042691045068664654497585768198054821915883016951536487023920377099955823 (pp165)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 85.70 hours.
Factorization parameters were as follows:
n: 36848419794132436068444921972108922259239827038559449968743735336145502153474328839963657793574517816249804262690975147893513801970961579878843081674108738251961896925134061434912832897039961794931615074226075754361
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 100000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/100000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 72120098
Relations: 14748226 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 21.34 hours.
Total relation processing time: 1.03 hours.
Pruned matrix : 11050652 x 11050900
Matrix solve time: 62.85 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,100000000,29,29,58,58,2.8,2.8,100000
total time: 85.70 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.26100-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

777499173907127723676793593406807005267556903220790327910276595331117460687698019320854471592123933368320796159154080898789045036639648570373393978268898089295780123233619064279744202771784554978910334907769160495266973778840359982117519<237>

1126813152179148269848042517863931779475100307<46>
689998312855613278935745081715300123463182682522058173812561598037978497996021110358220993822163361624124349939377174230829771958671526733417174444210708791252541091718750629397718130477248917<192>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1006735076
Step 1 took 150213ms
Step 2 took 51460ms
********** Factor found in step 2: 1126813152179148269848042517863931779475100307
Found probable prime factor of 46 digits: 1126813152179148269848042517863931779475100307

2618023784746084418176939137492064115402488431607401153239477180650186206941690065254242834796154123060208001989698076407024157814473744493968727705891208021624876462002657294141517275684449593224554445077133525758081512170538069338359939<238>

202634484780180657930641455941534350279263540060014909364955296423339127797295613336937557139696275606547349311156814984991871622817739200357927829528267728462092068938350024338847059849673445330920331714656726158846576734583<225>

145955797465733558306055168433224846127572768981282037771336832775237916381106717879568479221884042548020698181283224217275926191423297093167554603310905654311470831258640166407903402141538429584969<198>

18464649007002385906960062137676376773828858935481924019106045513947777533770376842282911049211322326464052119052614001995328957582039401443221237415073760831218302857285579160214808989312582065156276894843155093940189918068491<227>

1333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<247>

2851688624642628683159535073024985688680896589<46>

467559228525668923805614825592457518777335809408176444559153651736156558716864238347879534874105558415735282442356334918740088340848670072530842066361036052680910822325944255511915498486786454634165279<201>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4174677153
Step 1 took 34924ms
Step 2 took 12572ms
********** Factor found in step 2: 2851688624642628683159535073024985688680896589
Found probable prime factor of 46 digits: 2851688624642628683159535073024985688680896589

4218777064018962317976742790118841994034547831061065054612091964770625519008401749505260544549381832877916271752457799759311356317355571643582254585474964940887627239154455896132452694858310390065058379271092665944020397903601841528627043<238>

846978973669671314840516145758578238966194393351437847635827904001372234533051118631163481350844728174325917519168070402350717353060790415715662626333252583736476578337568003640229024634908413734263583756544580418869069396301<225>

22052783336916910625582331309990462171206783436154435641708429125110953066163863206584961104403389512798884129163152004322345534035714482614136936758130585556529553486269385774852108521746800968117188490652376463064344508581289315977792847179724671<248>

4638457446311172086221609008439879855330717886548557869685921604465486937231466267567295508321509795222456053152055648136210348360718149013236154242389871300634809283012486850636046820100352569565368229153794146527460318737<223>

1162173077300750730580094652706591<34>

3991193340224674446887595460915670372195688404812293297392102723139024219277357577357457823051450869701549998236525275342194962564251827120011098637791936811863191545735153441578616986598607<190>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 4638457446311172086221609008439879855330717886548557869685921604465486937231466267567295508321509795222456053152055648136210348360718149013236154242389871300634809283012486850636046820100352569565368229153794146527460318737 (223 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1370297322
Step 1 took 7847ms
********** Factor found in step 1: 1162173077300750730580094652706591
Found probable prime factor of 34 digits: 1162173077300750730580094652706591
Composite cofactor 3991193340224674446887595460915670372195688404812293297392102723139024219277357577357457823051450869701549998236525275342194962564251827120011098637791936811863191545735153441578616986598607 has 190 digits

6210378180500015612370626604422373192219243539725831484329897224288313218548992968285285200114844108113100453208469602280067203136370802897993056573527430811837307359928138628499328367946530437174698266761997133078061659819475298351725122151019<244>

282121269827835495087563389122814441787802486898993532369889196871275117609304359478922014627987840573270420290161726017928806697558945712814653378754857775614848042431038982106458461169533724071292044885494029608627268431335209439777688439375665629871<252>

1043162873545644297158601852755306753619503<43>
270447958782240046899991134280013475996870140007072559618279460786021302153312686693696893456036377220720352916696192372308731108523462710174596339885435288916128180638374464527213994051233254862919195750339457<210>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=872563744
Step 1 took 135272ms
Step 2 took 39063ms
********** Factor found in step 2: 1043162873545644297158601852755306753619503
Found probable prime factor of 43 digits: 1043162873545644297158601852755306753619503

760885997454086367907287684838344920784288472418912041958017729040126926091357817502219031390172874676271377860237386638127899416715722815219315243604589550139761074409379620032566874732221684803607240857989824828419146578907063287738340677<240>

9475719865906973943463687021449015978474293<43>

80298490058966905700554582634478079282039135509777867837260880199506454639776962819282472311158160841163119518771260253189359390419578809270715750008522220979375922130252436875420930364922645390289<197>

Run 85 out of 565:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=519626292
Step 1 took 99275ms
Step 2 took 28264ms
********** Factor found in step 2: 9475719865906973943463687021449015978474293
Found probable prime factor of 43 digits: 9475719865906973943463687021449015978474293
Composite cofactor 80298490058966905700554582634478079282039135509777867837260880199506454639776962819282472311158160841163119518771260253189359390419578809270715750008522220979375922130252436875420930364922645390289 has 197 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

2504734925650196872281878137763748574612436753428387370181315835600300755743691397905923766727455628645584730547180307949664035809707558331082945978846588900225923420989751830820256789477333097506254155967617464115386120309346995345498574843<241>

310082056095008307268394455017924800608219497588117453693406980531190201822533100948065767469535249350762183757901778913275478121481099108792312751196368977980660552536173183159411270146031181992979<198>

145446360600257996063317136357124022576072969<45>
2131934101446731398399594206816873271544327246169697649238735242907414884312233061579658076234024644045513957096481092056888942635141608569444630030911291<154>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 310082056095008307268394455017924800608219497588117453693406980531190201822533100948065767469535249350762183757901778913275478121481099108792312751196368977980660552536173183159411270146031181992979 (198 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:676531056
Step 1 took 35845ms
Step 2 took 12906ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3151312925
Step 1 took 32988ms
Step 2 took 12924ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4060083487
Step 1 took 33045ms
Step 2 took 12892ms
Run 86 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2633244618
Step 1 took 34096ms
Step 2 took 12971ms
** Factor found in step 2: 145446360600257996063317136357124022576072969
Found prime factor of 45 digits: 145446360600257996063317136357124022576072969
Prime cofactor 2131934101446731398399594206816873271544327246169697649238735242907414884312233061579658076234024644045513957096481092056888942635141608569444630030911291 has 154 digits

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

8502612728384189252626916894173783127716698619204190835228150606275667328868089479949347562761210636512466546899508052349666284173345683360047040447419710461087411035078963509656960889097835661271909240523649851<211>

479552755327814666296731940226856673<36>

17730296894179948758545520710825322109059122995077079430578196489858300632080141186138862242391573432704975825668054178662658376642874843107930478807366815286537231379138124187<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=202793525
Step 1 took 20122ms
Step 2 took 7251ms
********** Factor found in step 2: 479552755327814666296731940226856673
Found probable prime factor of 36 digits: 479552755327814666296731940226856673

17730296894179948758545520710825322109059122995077079430578196489858300632080141186138862242391573432704975825668054178662658376642874843107930478807366815286537231379138124187<176>

52395819752730748337359511029611047<35>

338391439963221243360530942057886926791084217437994999595640246779543617922349904761762926645073327517146772294565856285520171056073449312621<141>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1489794971
Step 1 took 76242ms
********** Factor found in step 1: 52395819752730748337359511029611047
Found probable prime factor of 35 digits: 52395819752730748337359511029611047

338391439963221243360530942057886926791084217437994999595640246779543617922349904761762926645073327517146772294565856285520171056073449312621<141>

1010794701598103655648547620085587910477000291457944852506193<61>
334777615502150844476370712417679256222846269596391028512677188369450449414178397<81>

Number: 13331_262
N = 338391439963221243360530942057886926791084217437994999595640246779543617922349904761762926645073327517146772294565856285520171056073449312621 (141 digits)
Divisors found:
r1=1010794701598103655648547620085587910477000291457944852506193 (pp61)
r2=334777615502150844476370712417679256222846269596391028512677188369450449414178397 (pp81)
Version: Msieve v. 1.51 (SVN 845)
Total time: 331.69 hours.
Factorization parameters were as follows:
# Murphy_E = 2.003e-11, selected by Erik Branger
# expecting poly E from 1.91e-011 to > 2.19e-011
n: 338391439963221243360530942057886926791084217437994999595640246779543617922349904761762926645073327517146772294565856285520171056073449312621
Y0: -3338457805590378518691720969
Y1: 154573630743217
c0: -1914337960614245010827883718952120
c1: -22878773658658727881774916174
c2: 15254494434456698266935
c3: 135116164144154888
c4: -10075592620
c5: 816
skew: 1299134.93
type: gnfs
# selected mechanically
rlim: 18800000
alim: 18800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23099906
Relations: 3780346 relations
Pruned matrix : 2335918 x 2336143
Polynomial selection time: 0.00 hours.
Total sieving time: 326.31 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 4.89 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,18800000,18800000,28,28,56,56,2.6,2.6,100000
total time: 331.69 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

62735773593184091368626287784511477387865076847373151465601714205759304253533690881957760868302954565438081871682687875055067633962105921443892054648401900596820891684163300052269280963894775767608213483693367558039<215>

91894451851115184625257068867744975622577<41>

682693811535290873235063368329227720465777644965855931870329120024535688675752484709207977642848160468571626684755058017697324878194336715743497733961178258551983588896600007<174>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 62735773593184091368626287784511477387865076847373151465601714205759304253533690881957760868302954565438081871682687875055067633962105921443892054648401900596820891684163300052269280963894775767608213483693367558039 (215 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:31882934
Step 1 took 42914ms
Step 2 took 14635ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3692742895
Step 1 took 44082ms
Step 2 took 15745ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2008369339
Step 1 took 37400ms
Step 2 took 14607ms
Run 27 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1217644262
Step 1 took 39108ms
Step 2 took 15941ms
** Factor found in step 2: 91894451851115184625257068867744975622577
Found prime factor of 41 digits: 91894451851115184625257068867744975622577
Composite cofactor 682693811535290873235063368329227720465777644965855931870329120024535688675752484709207977642848160468571626684755058017697324878194336715743497733961178258551983588896600007 has 174 digits

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

213417095274886820912805191114742047292054518890907636762609922475706598659175086371232314592164466042965876580573676890039135893388770558001937933933643609777298727537917415160435501058788886795622879401040653769124639371793975032654149433903151642289899273<258>

2491747087568280240267740833551148017468650358507467458457879897819274403177876581205114123769818084779701108168434847376279329743606987350294040935603735465815188305070773484562303567863226742125296374144515011728538325261067706475874982692909607<247>

2727249710572694378258620970159654827<37>

913648309470363456277925834794268670131615046089720612535743257415778255357267638719742380630466620557294351450257807593381623900634888000464093703029591577761549030771996605200603744481015875448259585703777141<210>

Input number is 2491747087568280240267740833551148017468650358507467458457879897819274403177876581205114123769818084779701108168434847376279329743606987350294040935603735465815188305070773484562303567863226742125296374144515011728538325261067706475874982692909607 (247 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3211295604
Step 1 took 7940ms
Step 2 took 4119ms
********** Factor found in step 2: 2727249710572694378258620970159654827
Found probable prime factor of 37 digits: 2727249710572694378258620970159654827
Composite cofactor 913648309470363456277925834794268670131615046089720612535743257415778255357267638719742380630466620557294351450257807593381623900634888000464093703029591577761549030771996605200603744481015875448259585703777141 has 210 digits

GMP-ECM 6.4.4

27794003178811233246864937762799037513009279443005269396181501183298081455405694352633182461191018459441117606304460065395055147949440131982461360161590860312651080961213919810291883474497399775800296509312389203138095078134087<227>