56045957685301947597029564242678996777357433095138013170800056045957685301947597029564242678996777357433095138013170800056045957685301947597029564242679<152>

148385991234646868255677763169400682719601527549176821<54>
377703833218830785744902903453732714767953802089122910383042080301772785279239335742045411173229499<99>

Number: n
N=56045957685301947597029564242678996777357433095138013170800056045957685301947597029564242678996777357433095138013170800056045957685301947597029564242679
  ( 152 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=148385991234646868255677763169400682719601527549176821 (pp54)
 r2=377703833218830785744902903453732714767953802089122910383042080301772785279239335742045411173229499 (pp99)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 30.59 hours.
Scaled time: 36.56 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_4_154_7
n: 56045957685301947597029564242678996777357433095138013170800056045957685301947597029564242678996777357433095138013170800056045957685301947597029564242679
type: snfs
skew: 1
deg: 5
c5: 4
c0: 23
m: 10000000000000000000000000000000
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 [1600000, 1600000)
Primes: RFBsize:230209, AFBsize:230627, largePrimes:6238983 encountered
Relations: rels:5736835, finalFF:526134
Max relations in full relation-set: 28
Initial matrix: 460900 x 526134 with sparse part having weight 23788925.
Pruned matrix : 395232 x 397600 with weight 14177810.
Total sieving time: 27.64 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.50 hours.
Total square root time: 0.26 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 30.59 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

608627663819201808417041980929346102662496861775520416798486790021398126579659692253604025739413646460016835809359875088363094393568287439654027<144>

658237800790060433128895853813992111237171477712259462648973<60>
924631893046383441534389809744737352040680519541286830846552261752181915098853210999<84>

Number: n
N=608627663819201808417041980929346102662496861775520416798486790021398126579659692253604025739413646460016835809359875088363094393568287439654027
  ( 144 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=658237800790060433128895853813992111237171477712259462648973 (pp60)
 r2=924631893046383441534389809744737352040680519541286830846552261752181915098853210999 (pp84)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 33.77 hours.
Scaled time: 46.16 units (timescale=1.367).
Factorization parameters were as follows:
name: KA_4_155_7
n: 608627663819201808417041980929346102662496861775520416798486790021398126579659692253604025739413646460016835809359875088363094393568287439654027
skew: 0.90
deg: 5
c5: 40
c0: 23
m: 10000000000000000000000000000000
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, 2900001)
Primes: RFBsize:216816, AFBsize:216736, largePrimes:7433946 encountered
Relations: rels:6919180, finalFF:495297
Max relations in full relation-set: 28
Initial matrix: 433618 x 495297 with sparse part having weight 39970576.
Pruned matrix : 400661 x 402893 with weight 28886141.
Total sieving time: 29.38 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.80 hours.
Total square root time: 0.42 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 33.77 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

152960979296637100887575269533125580934322631703753613981741783439977949620916874063023643527261513964901173911104942963315045605631812031<138>

208122669820059734018270507907490349851<39>
734955876882058340201805409936009321630527412736093444708338848258488834565508219522142315629339181<99>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 152960979296637100887575269533125580934322631703753613981741783439977949620916874063023643527261513964901173911104942963315045605631812031 (138 digits)
Using B1=2936000, B2=3895100976, polynomial Dickson(6), sigma=2115102082
Step 1 took 42532ms
Step 2 took 20390ms
********** Factor found in step 2: 208122669820059734018270507907490349851
Found probable prime factor of 39 digits: 208122669820059734018270507907490349851
Probable prime cofactor 734955876882058340201805409936009321630527412736093444708338848258488834565508219522142315629339181 has 99 digits

21365473734302912529054906948237323508436428295729914712019667578602171034133803699777503768069330971332086852316622127836560860767947345582826091<146>

14267717847005813507700165288034158445726684150241889062913896709923<68>
1497469599792136047698907928447361359099204601762726546842329109356470216353817<79>

Number: n
N=21365473734302912529054906948237323508436428295729914712019667578602171034133803699777503768069330971332086852316622127836560860767947345582826091
  ( 146 digits)
SNFS difficulty: 162 digits.
Divisors found:

Thu Oct 11 07:49:06 2007  prp68 factor: 14267717847005813507700165288034158445726684150241889062913896709923
Thu Oct 11 07:49:06 2007  prp79 factor: 1497469599792136047698907928447361359099204601762726546842329109356470216353817
Thu Oct 11 07:49:06 2007  elapsed time 02:07:31 (Msieve 1.26)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 67.17 hours.
Scaled time: 80.33 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_4_161_7
n: 21365473734302912529054906948237323508436428295729914712019667578602171034133803699777503768069330971332086852316622127836560860767947345582826091
type: snfs
skew: 1.13
deg: 5
c5: 25
c0: 46
m: 200000000000000000000000000000000
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, 2900000)
Primes: RFBsize:230209, AFBsize:229862, largePrimes:7394863 encountered
Relations: rels:6833492, finalFF:510861
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 66.85 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,162,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 67.17 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

70676030373318721324558360146599635516327872427771371543334120151121728464860061926398455816769552413719967970750395517487415938985577317<137>

258609421979814579149841551730853<33>
273292557681194023226924285723337331180267943187476708699991416925411391320101221509571772342056887933889<105>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 70676030373318721324558360146599635516327872427771371543334120151121728464860061926398455816769552413719967970750395517487415938985577317 (137 digits)
Using B1=584000, B2=390143846, polynomial Dickson(3), sigma=3688070583
Step 1 took 8625ms
Step 2 took 4484ms
********** Factor found in step 2: 258609421979814579149841551730853
Found probable prime factor of 33 digits: 258609421979814579149841551730853
Probable prime cofactor 273292557681194023226924285723337331180267943187476708699991416925411391320101221509571772342056887933889 has 105 digits

4336849083527239547972258343025079717439059867917162838793986325132038379037038505060451811007624025646486151026521390158802326996657968801408094232028341074571<160>

1058672780199082273664589389440212686058586452944274704237975222290582762325807<79>
4096496258940085111741497387505341221216333433858971073571460415594977424825412453<82>

Number: n
N=4336849083527239547972258343025079717439059867917162838793986325132038379037038505060451811007624025646486151026521390158802326996657968801408094232028341074571
  ( 160 digits)
SNFS difficulty: 168 digits.
Divisors found:

Fri Jun 13 23:45:43 2008  prp79 factor: 1058672780199082273664589389440212686058586452944274704237975222290582762325807
Fri Jun 13 23:45:43 2008  prp82 factor: 4096496258940085111741497387505341221216333433858971073571460415594977424825412453
Fri Jun 13 23:45:43 2008  elapsed time 02:28:18 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 70.39 hours.
Scaled time: 101.99 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_4_167_7
n: 4336849083527239547972258343025079717439059867917162838793986325132038379037038505060451811007624025646486151026521390158802326996657968801408094232028341074571
skew: 0.71
deg: 5
c5: 125
c0: 23
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  special-q in [100000, 3500269)
Primes: RFBsize:250150, AFBsize:250086, largePrimes:7571750 encountered
Relations: rels:7011455, finalFF:533831
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 70.12 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 70.39 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

651245403448888201173742846862948449416442601615326305125501583104310676359217130736814653555598830812614734176523550767729598480019278166432893988531145135752837<162>

503852761342782171346683824703620971518120723133<48>
1292531178579433361975754521183369234349970232633887731714815503149502104258374903219488361379931169871046875018089<115>

Number: n
N=651245403448888201173742846862948449416442601615326305125501583104310676359217130736814653555598830812614734176523550767729598480019278166432893988531145135752837
  ( 162 digits)
SNFS difficulty: 170 digits.
Divisors found:

Mon Jun 23 18:23:51 2008  prp48 factor: 503852761342782171346683824703620971518120723133
Mon Jun 23 18:23:51 2008  prp115 factor: 1292531178579433361975754521183369234349970232633887731714815503149502104258374903219488361379931169871046875018089
Mon Jun 23 18:23:51 2008  elapsed time 01:31:12 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 68.29 hours.
Scaled time: 124.91 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_168_7
n: 651245403448888201173742846862948449416442601615326305125501583104310676359217130736814653555598830812614734176523550767729598480019278166432893988531145135752837
skew: 2.25
deg: 5
c5: 2
c0: 115
m: 10000000000000000000000000000000000
type: snfs
rlim: 5750000
alim: 5750000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5750000/5750000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4116257)
Primes: RFBsize:396826, AFBsize:396180, largePrimes:8129248 encountered
Relations: rels:7699340, finalFF:795201
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 68.06 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5750000,5750000,28,28,48,48,2.5,2.5,100000
total time: 68.29 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

230282095567069660333909038572251007484168105929763960852043753598157743235463442717328727691421991940126655152561888313183649971214738054116292458261370178468624064479<168>

549040020458710771002201900655139572384963724205511693<54>
419426794015259711436313029497443646256396503285623169529962875069579148740583046787001583894004049064540008475803<114>

Number: n
N=230282095567069660333909038572251007484168105929763960852043753598157743235463442717328727691421991940126655152561888313183649971214738054116292458261370178468624064479
  ( 168 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=549040020458710771002201900655139572384963724205511693 (pp54)
 r2=419426794015259711436313029497443646256396503285623169529962875069579148740583046787001583894004049064540008475803 (pp114)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 100.59 hours.
Scaled time: 130.46 units (timescale=1.297).
Factorization parameters were as follows:
name: KA_4_169_7
n: 230282095567069660333909038572251007484168105929763960852043753598157743235463442717328727691421991940126655152561888313183649971214738054116292458261370178468624064479
skew: 1.42
deg: 5
c5: 4
c0: 23
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, 4100001)
Primes: RFBsize:348513, AFBsize:349036, largePrimes:8203799 encountered
Relations: rels:7823329, finalFF:797317
Max relations in full relation-set: 48
Initial matrix: 697613 x 797316 with sparse part having weight 47748724.
Pruned matrix : 612060 x 615612 with weight 32155030.
Total sieving time: 90.86 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 9.30 hours.
Total square root time: 0.11 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000
total time: 100.59 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

148161848015095112308122954847091513833058963670531275969319879148667312064631405812884067349668502142364322066570236039388483283<129>

11547865405892626687884211439681<32>
12830236827967471491637490179825912863260274126012053520529623406724702467484496830797955662017043<98>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 148161848015095112308122954847091513833058963670531275969319879148667312064631405812884067349668502142364322066570236039388483283 (129 digits)
Using B1=882000, B2=702018447, polynomial Dickson(3), sigma=1495608592
Step 1 took 11735ms
Step 2 took 7437ms
********** Factor found in step 2: 11547865405892626687884211439681
Found probable prime factor of 32 digits: 11547865405892626687884211439681
Probable prime cofactor 12830236827967471491637490179825912863260274126012053520529623406724702467484496830797955662017043 has 98 digits

148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148149<174>

431698729585373966167026238230882951903861668583514905584774408843<66>
343174853190875443246946483687163515522963880644358945766137050568648583698244978599326968646362907761905343<108>

Number: n
N=148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148149
  ( 174 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=431698729585373966167026238230882951903861668583514905584774408843 (pp66)
 r2=343174853190875443246946483687163515522963880644358945766137050568648583698244978599326968646362907761905343 (pp108)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 219.68 hours.
Scaled time: 290.86 units (timescale=1.324).
Factorization parameters were as follows:
name: KA_4_173_7
n: 148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148149
skew: 2.25
deg: 5
c5: 2
c0: 115
m: 100000000000000000000000000000000000
type: snfs
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 8500001)
Primes: RFBsize:380800, AFBsize:380192, largePrimes:9150545 encountered
Relations: rels:8710774, finalFF:854421
Max relations in full relation-set: 48
Initial matrix: 761057 x 854421 with sparse part having weight 74383121.
Pruned matrix : 692647 x 696516 with weight 56412545.
Total sieving time: 199.12 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 19.49 hours.
Total square root time: 0.45 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,48,48,2.5,2.5,100000
total time: 219.68 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

1765862225333414457749816639811485744777556103517376591018192247443970393747414909079613967382475245265634776936367846801585036501<130>

1548065010359119640600075273692710581629117<43>
1140689966840456065098945861599843349913983470693969623741142865996909234661412137064953<88>

N=1765862225333414457749816639811485744777556103517376591018192247443970393747414909079613967382475245265634776936367846801585036501
  ( 130 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=1548065010359119640600075273692710581629117 (pp43)
 r2=1140689966840456065098945861599843349913983470693969623741142865996909234661412137064953 (pp88)
Version: Msieve-1.40
Total time: 79.66 hours.
Scaled time: 152.64 units (timescale=1.916).
Factorization parameters were as follows:
n: 1765862225333414457749816639811485744777556103517376591018192247443970393747414909079613967382475245265634776936367846801585036501
m: 200000000000000000000000000000000000
deg: 5
c5: 125
c0: 23
skew: 0.71
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 7140001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1310178 x 1310407
Total sieving time: 77.26 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.95 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 79.66 hours.
 --------- CPU info (if available) ----------

618892667952169134948723429261108716351658604142767384551065218002691087346614380872506214289677819617359679107973407427422311731713234656591<141>

4350096229342528260116893990630301077<37>
142271029265416575875338086225461356162340830827056279182201282910066824179702907590984231521837085273683<105>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=454280835
Step 1 took 4768ms
Step 2 took 2756ms
********** Factor found in step 2: 4350096229342528260116893990630301077
Found probable prime factor of 37 digits: 4350096229342528260116893990630301077
Probable prime cofactor 142271029265416575875338086225461356162340830827056279182201282910066824179702907590984231521837085273683 has 105 digits

GMP-ECM 6.2.1

616645289848807685298716778174027035403230386047962025066898972830042754048711778090066739143833213249483294225457155329502390466216747112955253801<147>

276312463679449103362613629120034638570861539160906344109227556153<66>
2231695529175186567760002631248211138386955421489181601690387183086228510522146417<82>

Msieve v. 1.48
Fri Jan 28 18:01:28 2011
random seeds: ccffaade ec2c221a
factoring 616645289848807685298716778174027035403230386047962025066898972830042754048711778090066739143833213249483294225457155329502390466216747112955253801 (147 digits)
searching for 15-digit factors
commencing number field sieve (147-digit input)
R0: -1000000000000000000000000000000000000
R1:  1
A0:  23
A1:  0
A2:  0
A3:  0
A4:  0
A5:  40
skew 0.90, size 1.249e-12, alpha 0.803, combined = 9.439e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 714742 cycles
cycles contain 2362710 unique relations
read 2362710 relations
multiplying 2362710 relations
multiply complete, coefficients have about 64.90 million bits
initial square root is modulo 2079767411
reading relations for dependency 2
read 713816 cycles
cycles contain 2362998 unique relations
read 2362998 relations
multiplying 2362998 relations
multiply complete, coefficients have about 64.91 million bits
initial square root is modulo 2084607271
reading relations for dependency 3
read 715747 cycles
cycles contain 2365968 unique relations
read 2365968 relations
multiplying 2365968 relations
multiply complete, coefficients have about 64.99 million bits
initial square root is modulo 2142446681
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 4
read 714458 cycles
cycles contain 2362924 unique relations
read 2362924 relations
multiplying 2362924 relations
multiply complete, coefficients have about 64.91 million bits
initial square root is modulo 2084274551
sqrtTime: 3015
prp66 factor: 276312463679449103362613629120034638570861539160906344109227556153
prp82 factor: 2231695529175186567760002631248211138386955421489181601690387183086228510522146417
elapsed time 00:50:18

5207320974747033860590782913304120321221326834405814803533051078436114701926136965178900382512466106869637528118089875624173199826476038549664852819002373076134434805792767<172>

167699656420725837272625731399311336199588874148496993519579<60>
31051470741734126361167084603612732961197648742830591970432979567919377947554573102634749940250284671722830406573<113>

Number: 1
N=5207320974747033860590782913304120321221326834405814803533051078436114701926136965178900382512466106869637528118089875624173199826476038549664852819002373076134434805792767
  ( 172 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=167699656420725837272625731399311336199588874148496993519579 (pp60)
 r2=31051470741734126361167084603612732961197648742830591970432979567919377947554573102634749940250284671722830406573 (pp113)
Version: Msieve v. 1.43
Total time: 1.91 hours.
Scaled time: 4.81 units (timescale=2.514).
Factorization parameters were as follows:
n: 5207320974747033860590782913304120321221326834405814803533051078436114701926136965178900382512466106869637528118089875624173199826476038549664852819002373076134434805792767
m: 2000000000000000000000000000000000000
deg: 5
c5: 125
c0: 23
skew: 0.71
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 4000000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1051313 x 1051538
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 1.84 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 1.91 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

857055471734507299238165225293189721666841715143324501405445535187873196005857272706567342660760069735827669798861433248239120556061564119581779217520245838362357551244369<171>

27141025341743284700368084141669831618003158364834023279064772256248327491639501<80>
31577859013909240200754952411524587838249400419038875187037160175417454226331402675555518869<92>

Number: 6
N=857055471734507299238165225293189721666841715143324501405445535187873196005857272706567342660760069735827669798861433248239120556061564119581779217520245838362357551244369
  ( 171 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=27141025341743284700368084141669831618003158364834023279064772256248327491639501 (pp80)
 r2=31577859013909240200754952411524587838249400419038875187037160175417454226331402675555518869 (pp92)
Version: Msieve-1.40
Total time: 204.79 hours.
Scaled time: 356.13 units (timescale=1.739).
Factorization parameters were as follows:
n: 857055471734507299238165225293189721666841715143324501405445535187873196005857272706567342660760069735827669798861433248239120556061564119581779217520245838362357551244369
m: 2000000000000000000000000000000000000
deg: 5
c5: 1250
c0: 23
skew: 0.45
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1817926 x 1818151
Total sieving time: 198.67 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 5.03 hours.
Time per square root: 0.85 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 204.79 hours.

GGNFS, Msieve

666309783161983708964188260348524546770794173477157740095736777038582657215671032657908583424922125936028367879100889928345330909361772897240070722952097092216414933<165>

5977201780407416716628944479077932997<37>
111475203220689472471259054366200185313680037945724181981551672761488789114394997997266280462007290648882851087167834564033140689<129>

N=666309783161983708964188260348524546770794173477157740095736777038582657215671032657908583424922125936028367879100889928345330909361772897240070722952097092216414933
  ( 165 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=5977201780407416716628944479077932997 (pp37)
 r2=111475203220689472471259054366200185313680037945724181981551672761488789114394997997266280462007290648882851087167834564033140689 (pp129)
Version: Msieve v. 1.48
Total time:
Scaled time: 82.15 units (timescale=1.888).
Factorization parameters were as follows:
n: 666309783161983708964188260348524546770794173477157740095736777038582657215671032657908583424922125936028367879100889928345330909361772897240070722952097092216414933
m: 10000000000000000000000000000000000000
deg: 5
c5: 4
c0: 23
skew: 1.42
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 10750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1629436 x 1629667
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time:

222023846783208967880850044993894571083437610963519120123086092265906874554318546826286337515081354575143999747528808583886891127959<132>

118270750950320247085810333307<30>
1877250672708337815991348552500624443658145975176294067599617799874145110659688921540769920338722450837<103>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 222023846783208967880850044993894571083437610963519120123086092265906874554318546826286337515081354575143999747528808583886891127959 (132 digits)
Using B1=980000, B2=1045485222, polynomial Dickson(6), sigma=3394528185
Step 1 took 9622ms
Step 2 took 5153ms
********** Factor found in step 2: 118270750950320247085810333307
Found probable prime factor of 30 digits: 118270750950320247085810333307
Probable prime cofactor 1877250672708337815991348552500624443658145975176294067599617799874145110659688921540769920338722450837 has 103 digits

104395429630634178655012771296087303713723057259421736449868357888677042673253958616393849453659441004022197104521081990579924055619188449316745696370353439989448963803161<171>

294759853636511703499898037163218403742081692616212262909<57>
354171127250494697180898759196346128541697002970842984056448602744138266645495679130811180273572985212316324433229<114>

Number: 4
N=104395429630634178655012771296087303713723057259421736449868357888677042673253958616393849453659441004022197104521081990579924055619188449316745696370353439989448963803161
  ( 171 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=294759853636511703499898037163218403742081692616212262909 (pp57)
 r2=354171127250494697180898759196346128541697002970842984056448602744138266645495679130811180273572985212316324433229 (pp114)
Version: Msieve-1.40
Total time: 218.52 hours.
Scaled time: 380.01 units (timescale=1.739).
Factorization parameters were as follows:
n: 104395429630634178655012771296087303713723057259421736449868357888677042673253958616393849453659441004022197104521081990579924055619188449316745696370353439989448963803161
m: 20000000000000000000000000000000000000
deg: 5
c5: 125
c0: 23
skew: 0.71
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
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, 8250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1880037 x 1880262
Total sieving time: 211.77 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 5.35 hours.
Time per square root: 1.18 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: 218.52 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

210685257468574433102096119778874297122829555665570191210140454840404647268473889557593675916357862292805561609826297968430983130598162811257<141>

914614705542996095283314411688089<33>
230354111071823462818299073248460216708575614431593821351666507826249002338559777821243718681313328757074913<108>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2831025570
Step 1 took 18341ms
Step 2 took 16258ms
********** Factor found in step 2: 914614705542996095283314411688089
Found probable prime factor of 33 digits: 914614705542996095283314411688089
Probable prime cofactor 230354111071823462818299073248460216708575614431593821351666507826249002338559777821243718681313328757074913 has 108 digits

GMP-ECM 6.2.1

466594815312733800937252460310482803480220321569094448817881780787780387507087559620060552714481291202951676201751624546174961352865809238053399108452479621072052634626971621<174>

547212943771526343714089726405265284554468421<45>

852675033775421042539583897403134812872801023236718978041411207603399258551162990939963276644749701879009266629097490276702439201<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1413471672
Step 1 took 81480ms
********** Factor found in step 1: 547212943771526343714089726405265284554468421
Found probable prime factor of 45 digits: 547212943771526343714089726405265284554468421
Composite cofactor 852675033775421042539583897403134812872801023236718978041411207603399258551162990939963276644749701879009266629097490276702439201 has 129 digits

GMP-ECM 6.2.3

852675033775421042539583897403134812872801023236718978041411207603399258551162990939963276644749701879009266629097490276702439201<129>

34282718668213406423247137977911535706601495681608641369<56>
24871861593812651693792165120591109219085526282995068841143556459801995529<74>

Number: 44447_192
N = 852675033775421042539583897403134812872801023236718978041411207603399258551162990939963276644749701879009266629097490276702439201 (129 digits)
Divisors found:
r1=34282718668213406423247137977911535706601495681608641369 (pp56)
r2=24871861593812651693792165120591109219085526282995068841143556459801995529 (pp74)
Version: Msieve v. 1.44
Total time: 62.71 hours.
Factorization parameters were as follows:
n: 852675033775421042539583897403134812872801023236718978041411207603399258551162990939963276644749701879009266629097490276702439201
Y0: -10685799896399527455354989
Y1: 103702641526891
c0: 1094700012117072370175838325823232
c1: 2994530713371506651721261760
c2: -9141614520454278460998
c3: -13872495609985203
c4: -4445218186
c5: 6120
skew: 897664.92 
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19736164
Relations: 2331026 relations
Pruned matrix : 1324569 x 1324795
Polynomial selection time: 14.85 hours.
Total sieving time: 45.50 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.14 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 62.71 hours.
 --------- CPU info (if available) ----------

Core i7 860 2.80GHz,Window 7 64bit,and factmsieve.py)

1237556931583289114318101354810714101650122860656405646093724773247935858350918668494771781608174455170374193447744176554879510039983669692516042618579814947444358386189551537129799473<184>

3232050862911078001246259267<28>

382901440625421703254983903630625415335339535466757547558777072137009766195677192715809025356908063163899310512527591636246979743868589284461342249729060219<156>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3159666292
Step 1 took 9719ms
Step 2 took 8268ms
********** Factor found in step 2: 3232050862911078001246259267
Found probable prime factor of 28 digits: 3232050862911078001246259267
Composite cofactor 382901440625421703254983903630625415335339535466757547558777072137009766195677192715809025356908063163899310512527591636246979743868589284461342249729060219 has 156 digits

GMP-ECM 6.2.3

382901440625421703254983903630625415335339535466757547558777072137009766195677192715809025356908063163899310512527591636246979743868589284461342249729060219<156>

51583019853496735903645964800750877<35>
7423013265080590008491647917250829488752628024056283837902479298974147109134922114321978937756025932141670360318023197047<121>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3645311426
Step 1 took 8253ms
Step 2 took 7269ms
********** Factor found in step 2: 51583019853496735903645964800750877
Found probable prime factor of 35 digits: 51583019853496735903645964800750877
Probable prime cofactor 7423013265080590008491647917250829488752628024056283837902479298974147109134922114321978937756025932141670360318023197047 has 121 digits

GMP-ECM 6.2.3

410585164336497058231606199179188910044530813193165422422833907761985342784568263533157829424270487579812807855364509002846698810509572301580107995236833480913295291617<168>

1598056968854189900114035543585395251489097872706741191576600318177<67>
256927739335154901832251372331137801300180294966756495116326824661909049156739369236063369560073118721<102>

Sieving took ~15 cpu-days.

Msieve v. 1.48
Thu Feb  3 10:41:06 2011
random seeds: d2b42f9e 5194c26b
factoring 410585164336497058231606199179188910044530813193165422422833907761985342784568263533157829424270487579812807855364509002846698810509572301580107995236833480913295291617 (168 digits)
searching for 15-digit factors
commencing number field sieve (168-digit input)
R0: -1000000000000000000000000000000000000000
R1:  1
A0:  23
A1:  0
A2:  0
A3:  0
A4:  0
A5:  4
skew 1.42, size 1.908e-13, alpha 0.913, combined = 2.916e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 899304 cycles
cycles contain 2701120 unique relations
read 2701120 relations
multiplying 2701120 relations
multiply complete, coefficients have about 69.53 million bits
initial square root is modulo 97961
sqrtTime: 1306
prp67 factor: 1598056968854189900114035543585395251489097872706741191576600318177
prp102 factor: 256927739335154901832251372331137801300180294966756495116326824661909049156739369236063369560073118721
elapsed time 00:21:51

423904257466138639433767064731172533350490965690025211588387328022068840435685657812391520964166435509479676664112309701492698755255999389419390378920026835017<159>

1273179380551084940837663668915711<34>

332949358072901920653336227700739351920064092135270133209738326015925615916667203861084492136629660014747967891799054392670647<126>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1725878624
Step 1 took 7332ms
Step 2 took 5382ms
********** Factor found in step 2: 1273179380551084940837663668915711
Found probable prime factor of 34 digits: 1273179380551084940837663668915711
Composite cofactor 332949358072901920653336227700739351920064092135270133209738326015925615916667203861084492136629660014747967891799054392670647 has 126 digits

GMP-ECM 6.3

them. For example, Pentium 4 3.06GHz, Windows XP and Cygwin)

332949358072901920653336227700739351920064092135270133209738326015925615916667203861084492136629660014747967891799054392670647<126>

628871623561285719056205219077612865623326549296386361857419<60>
529439309389438291105821852449436076666688296428276456606245431813<66>

Number: 44447_196
N = 332949358072901920653336227700739351920064092135270133209738326015925615916667203861084492136629660014747967891799054392670647 (126 digits)
Divisors found:
r1=628871623561285719056205219077612865623326549296386361857419 (pp60)
r2=529439309389438291105821852449436076666688296428276456606245431813 (pp66)
Version: Msieve v. 1.44
Total time: 84.09 hours.
Factorization parameters were as follows:
# Murphy_E = 1.313509e-10, selected by Erik Branger
n: 332949358072901920653336227700739351920064092135270133209738326015925615916667203861084492136629660014747967891799054392670647
Y0: -2709500363215669703766878
Y1: 29293396076459
c0: -85004314659124495377445451504067
c1: -694026973211084010254647304
c2: 538985143712549707758
c3: 1185375996674544
c4: -1327090811
c5: 2280
skew: 659518.43
type: gnfs
# selected mechanically
rlim: 7400000
alim: 7400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3700000, 7300000)
Relations: 11478617
Relations in full relation-set: 1761654 relations
Pruned matrix : 1045403 x 1045634
Polynomial selection time: 0.00 hours.
Total sieving time: 82.96 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.98 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,7400000,7400000,27,27,53,53,2.5,2.5,100000
total time: 84.09 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

13153289365373373652287163335689411355426642911508379876847678476391712809507266336843641776035125750635366578147500197759585122334964892650539919589<149>

65992559819048532891678510313063436073632082918437309<53>
199314731864314201471143591230909055055381840222515134345894141184208753717635646229442594062921<96>

Sieving took ~20cpu-days

Msieve v. 1.48
Wed Jan 26 10:15:59 2011
random seeds: 5acb3485 ae2affff
factoring 13153289365373373652287163335689411355426642911508379876847678476391712809507266336843641776035125750635366578147500197759585122334964892650539919589 (149 digits)
searching for 15-digit factors
commencing number field sieve (149-digit input)
R0: -1000000000000000000000000000000000000000
R1:  1
A0:  23
A1:  0
A2:  0
A3:  0
A4:  0
A5:  400
skew 0.56, size 8.803e-14, alpha 0.470, combined = 1.876e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1228957 cycles
cycles contain 3904398 unique relations
read 3904398 relations
multiplying 3904398 relations
multiply complete, coefficients have about 124.38 million bits
initial square root is modulo 846662051
reading relations for dependency 2
read 1228999 cycles
cycles contain 3902130 unique relations
read 3902130 relations
multiplying 3902130 relations
multiply complete, coefficients have about 124.31 million bits
initial square root is modulo 836822221
sqrtTime: 3255
prp53 factor: 65992559819048532891678510313063436073632082918437309
prp96 factor: 199314731864314201471143591230909055055381840222515134345894141184208753717635646229442594062921

515776307815300504171340889456242827485719443477363867290755999123180276713989142908720487924387193274276946088481425605714801490593529586218457055175170528541771433729191649581576470284837465991<195>

14225762137075170435338246532576567317<38>
36256497391523557391150836153499812526265014545716861850062848979279699883581750510325625228713377300801607790879317559258903710821964811855003806638790958123<158>

Fri Feb 13 18:48:52 2009  Msieve v. 1.39
Fri Feb 13 18:48:52 2009  random seeds: 471c3938 94b24410
Fri Feb 13 18:48:52 2009  factoring 515776307815300504171340889456242827485719443477363867290755999123180276713989142908720487924387193274276946088481425605714801490593529586218457055175170528541771433729191649581576470284837465991 (195 digits)
Fri Feb 13 18:48:55 2009  searching for 15-digit factors
Fri Feb 13 18:48:58 2009  searching for 20-digit factors
Fri Feb 13 18:49:40 2009  searching for 25-digit factors
Fri Feb 13 18:57:51 2009  searching for 30-digit factors
Fri Feb 13 20:15:25 2009  searching for 35-digit factors
Sat Feb 14 07:16:27 2009  searching for 40-digit factors
Mon Feb 16 20:05:38 2009  ECM stage 2 factor found
Mon Feb 16 20:05:39 2009  prp38 factor: 14225762137075170435338246532576567317
Mon Feb 16 20:05:39 2009  prp158 factor: 36256497391523557391150836153499812526265014545716861850062848979279699883581750510325625228713377300801607790879317559258903710821964811855003806638790958123
Mon Feb 16 20:05:39 2009  elapsed time 73:16:47

Msieve v. 1.39

Core 2 Duo T8100 2,1GHz
Windows Vista 32bit

45440248344621485907833599792184416681025187121498685779399108418427677320831843079956990499315249422498583430298688607358241505482195433421788060221494891913117768341927337009675717077169<188>

773916339569145261630900729032811297529<39>
58714677570858605919926571866071578635546143881947982772187870528788269392408355299585771649185909401322611507057744072403383339520391069969811575161<149>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3585100652
Step 1 took 267122ms
Step 2 took 99059ms
********** Factor found in step 2: 773916339569145261630900729032811297529
Found probable prime factor of 39 digits: 773916339569145261630900729032811297529
Probable prime cofactor 58714677570858605919926571866071578635546143881947982772187870528788269392408355299585771649185909401322611507057744072403383339520391069969811575161 has 149 digits

920185098717476251604089085442383322329545393071445159461833707071912726781201867385134983446499269032297214068023398477286191209314674546094358572838752326611<159>

11233482462840699615429947074376144923597285567362393501433<59>
81914499956835448076942135704054418092697705963276459197601271495910567443344598609057946224230068267<101>

Number: n
N=920185098717476251604089085442383322329545393071445159461833707071912726781201867385134983446499269032297214068023398477286191209314674546094358572838752326611  ( 159 digits)
SNFS difficulty: 203 digits.
Divisors found:

Thu Apr 18 18:43:36 2024  prp59 factor: 11233482462840699615429947074376144923597285567362393501433
Thu Apr 18 18:43:36 2024  prp101 factor: 81914499956835448076942135704054418092697705963276459197601271495910567443344598609057946224230068267
Thu Apr 18 18:43:36 2024  elapsed time 01:49:45 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.015).
Factorization parameters were as follows:
#
# N = 4x10^203+23 = 4(202)7
#
n: 920185098717476251604089085442383322329545393071445159461833707071912726781201867385134983446499269032297214068023398477286191209314674546094358572838752326611
m: 20000000000000000000000000000000000000000
deg: 5
c5: 125
c0: 23
skew: 0.71
# Murphy_E = 1.277e-11
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4192773 hash collisions in 22152834 relations (18330712 unique)
Msieve: matrix is 1873960 x 1874185 (526.3 MB)

Sieving start time: 2024/04/18 04:43:49
Sieving end time  : 2024/04/18 16:53:22

Total sieving time: 12hrs 9min 33secs.

Total relation processing time: 1hrs 41min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4534268299456681301017603163105565700980875589879966582442633004258811500264687911980783770946902584646287397794758612559243049250088701623608121327951156861878252629025438378727026846269034008145813<199>

1069007974652412661299794973020534361341196419<46>

4241566393301224975038566101599958910858708750140079140521569653189506373484339336959930183368340312007560970239656876199020907453379954811478404563307527<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3369821387
Step 1 took 109904ms
Step 2 took 34683ms
********** Factor found in step 2: 1069007974652412661299794973020534361341196419
Found probable prime factor of 46 digits: 1069007974652412661299794973020534361341196419
Composite cofactor 4241566393301224975038566101599958910858708750140079140521569653189506373484339336959930183368340312007560970239656876199020907453379954811478404563307527 has 154 digits

GMP-ECM 6.3

4241566393301224975038566101599958910858708750140079140521569653189506373484339336959930183368340312007560970239656876199020907453379954811478404563307527<154>

276078408708526518511201858698303483125603752303220676997<57>
15363629532432272033126344142815561667667371185264963862736429126308967592069869833791958190366491<98>

Number: 44447_204
N = 4241566393301224975038566101599958910858708750140079140521569653189506373484339336959930183368340312007560970239656876199020907453379954811478404563307527 (154 digits)
SNFS difficulty: 206 digits.
Divisors found:
r1=276078408708526518511201858698303483125603752303220676997 (pp57)
r2=15363629532432272033126344142815561667667371185264963862736429126308967592069869833791958190366491 (pp98)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 109.74 hours.
Factorization parameters were as follows:
n: 4241566393301224975038566101599958910858708750140079140521569653189506373484339336959930183368340312007560970239656876199020907453379954811478404563307527
m: 100000000000000000000000000000000000000000
deg: 5
c5: 2
c0: 115
skew: 2.25
# Murphy_E = 9.694e-12
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
Sieved rational special-q in [0, 0)
Total raw relations: 39579831
Relations: 6488700 relations
Pruned matrix : 3876990 x 3877216
Total sieving time: 101.76 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 7.58 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,18500000,18500000,29,29,56,56,2.6,2.6,100000
total time: 109.74 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

98523829865229665839004280462124664962461154236448341257002270096740264420417599500035890687228097094409366104639<113>

55784705997064293764813222535375430864564821029<47>
1766144108932196328359872046907674356690185136145307685998420979091<67>

Divisors found:
 r1=55784705997064293764813222535375430864564821029 (pp47)
 r2=1766144108932196328359872046907674356690185136145307685998420979091 (pp67)
Version: Msieve v. 1.49 SVN544 option -D density
Total time: 12.30 hours.
Scaled time: 29.52 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  98523829865229665839004280462124664962461154236448341257002270096740264420417599500035890687228097094409366104639
skew:  252054.34
Y0:  -11605404202293343505529
Y1:   717083363011
c0:  -113833789334053074756604975520
c1:   1985721504432085627485892
c2:   12613494521606146562
c3:  -63537223578160
c4:  -103285653
c5:   468
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2187500, 3087501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 476367 x 476592
Total sieving time: 11.27 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.67 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,52,52,2.6,2.6,100000
total time: 12.30 hours.

1463423311353240872119650555653023123105278948622588050458540574391363317002735295030764443811908715581963398587073732002051<124>

13984315016010330049679737289903699<35>
104647478956087602086035195485638974148991524746397206006802424441701236085405766534319249<90>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4151556755
Step 1 took 18708ms
Step 2 took 10791ms
********** Factor found in step 2: 13984315016010330049679737289903699
Found probable prime factor of 35 digits: 13984315016010330049679737289903699
Probable prime cofactor 104647478956087602086035195485638974148991524746397206006802424441701236085405766534319249 has 90 digits

27922591620841744340038374232602107623773755328358535022237964594921617571240194370373645167170217718735291065385894762002450049241482125833052843115599022476608348853<167>

114056539552972142738855725701084193039<39>
244813596224120437885472364977073275085478086778546600818314498530838859475036905754668167098693128019916838714974306757042911227<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=375628957
Step 1 took 78342ms
********** Factor found in step 1: 114056539552972142738855725701084193039
Found probable prime factor of 39 digits: 114056539552972142738855725701084193039
Probable prime cofactor 244813596224120437885472364977073275085478086778546600818314498530838859475036905754668167098693128019916838714974306757042911227 has 129 digits

1614196588444929356801645132399344912516702609625959924604451885650674209380823354398441759214487071874217663697208992638457774970542216121856267191193168534209832063863420000682354661512383<190>

4151920139459160244184226257628302773502621169397060695875240342362402272499165594157784714765922135185973337603603341293707145214988533637069<142>

663732894024001657294746468900476869602909499739<48>
6255408127036446203433644487083682283504911241156789958388764068313871840570376983759432340471<94>

Number: n
N=4151920139459160244184226257628302773502621169397060695875240342362402272499165594157784714765922135185973337603603341293707145214988533637069
  ( 142 digits)
Divisors found:

Sat Nov  2 06:43:52 2013  prp48 factor: 663732894024001657294746468900476869602909499739
Sat Nov  2 06:43:52 2013  prp94 factor: 6255408127036446203433644487083682283504911241156789958388764068313871840570376983759432340471
Sat Nov  2 06:43:52 2013  elapsed time 06:27:50 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
# Murphy_E = 1.727e-11, selected by Dmitry Domanov
#
# 4(211)7 - c142
#
n: 4151920139459160244184226257628302773502621169397060695875240342362402272499165594157784714765922135185973337603603341293707145214988533637069
Y0: -3752571926836586361748013934
Y1: 5343506425630853
c0: -4918869071875760260169937116539998395
c1: 6862442082738206980117453513112
c2: 9349939574371512709649705
c3: -631273863228763136
c4: -273692740266
c5: 5580
skew: 5610767.82
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 18000000)
Primes: RFBsize:1270607, AFBsize:1271781,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3337640 hash collisions in 26441849 relations (23803126 unique)
Msieve: matrix is 2043392 x 2043620 (601.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 5hrs 41min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 34min 7sec.

Prototype def-par.txt line would be:
gnfs,141,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

43878951498823684378213624026801025558370670593080761911548909480016312060953237082863403819096883703430621552495743356743396956479707657967525895526850425458363101175144999147884265213<185>

765612074241741504894144371797747503211214613390564372931325740864550846930011771442295361483688810131400063790204438697661538611143583524562871795993997090108082458472822518264541<180>

7532639335812268243840961431106514043531609<43>
101639284732750733986790765444213327908768199121766646306911302198304348197719903006359767802768264202522145096994922166610453736641837349<138>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=321247498
Step 1 took 337724ms
Step 2 took 87990ms
********** Factor found in step 2: 7532639335812268243840961431106514043531609
Found probable prime factor of 43 digits: 7532639335812268243840961431106514043531609
Probable prime cofactor 101639284732750733986790765444213327908768199121766646306911302198304348197719903006359767802768264202522145096994922166610453736641837349 has 138 digits

272478043821712419731675815163954101461309829191893162279557820267975327816723304563186851910245615990654590231623170071367392643888856673584666923877291840106431371793151536158058948719159838079598901897<204>

4838097973245591194740579312665593379006956863354556859303189403<64>
15249414487256004731065018989859567159901284302564364353809464295017<68>
3693207297823602920188301246066868078511803647466619723887206768840808947<73>

Number: n
N=272478043821712419731675815163954101461309829191893162279557820267975327816723304563186851910245615990654590231623170071367392643888856673584666923877291840106431371793151536158058948719159838079598901897
  ( 204 digits)
SNFS difficulty: 217 digits.
Divisors found:

Fri Oct 11 00:34:01 2019  found factor: 4838097973245591194740579312665593379006956863354556859303189403
Fri Oct 11 00:41:17 2019  p64 factor: 4838097973245591194740579312665593379006956863354556859303189403
Fri Oct 11 00:41:17 2019  p68 factor: 15249414487256004731065018989859567159901284302564364353809464295017
Fri Oct 11 00:41:17 2019  p73 factor: 3693207297823602920188301246066868078511803647466619723887206768840808947
Fri Oct 11 00:41:17 2019  elapsed time 05:52:02 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.133).
Factorization parameters were as follows:
#
# N = 4x10^217+23 = 4(216)7
#
n: 272478043821712419731675815163954101461309829191893162279557820267975327816723304563186851910245615990654590231623170071367392643888856673584666923877291840106431371793151536158058948719159838079598901897
m: 1000000000000000000000000000000000000
deg: 6
c6: 40
c0: 23
skew: 0.91
# Murphy_E = 3.83e-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, 47800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8759319 hash collisions in 56811694 relations (50406444 unique)
Msieve: matrix is 3637421 x 3637646 (1272.2 MB)

Sieving start time: 2019/10/09 21:19:24
Sieving end time  : 2019/10/10 18:45:56

Total sieving time: 21hrs 26min 32secs.

Total relation processing time: 5hrs 20min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 20sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

467344315924757565136114032013085640845893211823811192896366397943685009931066713401098259142423180278069867975230751255987849047785956303306461035167659773338006776492580908984694473653464189741792265451571445262297<216>

1527485556422368332133947853921066807702943461603827574501803569<64>
305956618679496815090742951129307655706694034370313913039610622835124868357627791678927643579924581900447038610697929382553410443531271160973090863811113<153>

prp64 factor: 1527485556422368332133947853921066807702943461603827574501803569
prp153 factor: 305956618679496815090742951129307655706694034370313913039610622835124868357627791678927643579924581900447038610697929382553410443531271160973090863811113

ggnfs-lasieve4I14e on the RSALS grid + msieve SVN r719

275191975007370701202335537505060065305286422824341096108902974791618109356396401696762823981222406236262498331888981902581010748771732669995225957505123363676825820711201406612067723<183>

10861175156820815722739331304591338258018176031648871302376614058671313477024443207503243<89>
25337219134574972631643338438745786615745781842059307766505823174684994369678943803717550479361<95>

Number: 44447_220
N = 275191975007370701202335537505060065305286422824341096108902974791618109356396401696762823981222406236262498331888981902581010748771732669995225957505123363676825820711201406612067723 (183 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=10861175156820815722739331304591338258018176031648871302376614058671313477024443207503243 (pp89)
r2=25337219134574972631643338438745786615745781842059307766505823174684994369678943803717550479361 (pp95)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 94.77 hours.
Factorization parameters were as follows:
n: 275191975007370701202335537505060065305286422824341096108902974791618109356396401696762823981222406236262498331888981902581010748771732669995225957505123363676825820711201406612067723
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4
c0: 23
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 25192543
Relations: 9110006 relations
Total pre-computation time approximately 800 CPU-days.
Pre-computation saved approximately 16 G rational relations.
Total batch smoothness checking time: 54.89 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 7638401 x 7638626
Matrix solve time: 39.49 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 94.77 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1901176320304371407460561337333825263152814750535513015690227729402251254722342613085861046503009920817571208327484077696081245309214078268454736225613<151>

2260336005204290414287240769099791204949<40>
841103409372334465601487624407001699472676072319376985706549258850832507968986833784868697221761957650739232537<111>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1401678322
Step 1 took 3276ms
Step 2 took 2404ms
********** Factor found in step 2: 2260336005204290414287240769099791204949
Found probable prime factor of 40 digits: 2260336005204290414287240769099791204949
Probable prime cofactor 841103409372334465601487624407001699472676072319376985706549258850832507968986833784868697221761957650739232537 has 111 digits

157315469071970218317151967831352623583999329421881184210009119657095762816905683987773236463194351185897099170256862376668257338556328534622565466956316701770562798594564654822252935842471048998601227<201>

7674823575551346333098301014633<31>

20497600697051715789508467687921628652946920938521166984785579053965902230536723574258710285316899974897619856269415734290871911180647922337879420868897373756005280590419<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1496564407
Step 1 took 86423ms
Step 2 took 33593ms
********** Factor found in step 2: 7674823575551346333098301014633
Found probable prime factor of 31 digits: 7674823575551346333098301014633
Composite cofactor 20497600697051715789508467687921628652946920938521166984785579053965902230536723574258710285316899974897619856269415734290871911180647922337879420868897373756005280590419 has 170 digits

4271231220467247680231229391776428908571525583900826315150171256266228548439937831778881030797375900869333682239583528309<121>

2030109547272273805364900012054941349925949926460730017<55>
2103941250956739424450896329118475264934284756895827227823786901077<67>

Divisors found:
 r1=2030109547272273805364900012054941349925949926460730017 (pp55)
 r2=2103941250956739424450896329118475264934284756895827227823786901077 (pp67)
Version: Msieve v. 1.49 SVN544 option -D density
Total time: 25.61 hours.
Scaled time: 61.46 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  4271231220467247680231229391776428908571525583900826315150171256266228548439937831778881030797375900869333682239583528309
skew:  658284.18
Y0:  -371944379734310828632605
Y1:   4311420336461
c0:  -25516824922815716430938730535936
c1:  -8009853277614670640355716
c2:   138573492676547644542
c3:  -524856998854522
c4:   1409815681
c5:   600
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2750000, 4850001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 758945 x 759173
Total sieving time: 25.01 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 25.61 hours.

3855689657286220076000915553944374954309533583303201390162187294441574210053694646675962800578635594763785106404399861386445826035575411527701142584493578703195223457399021634969068590023798543157092285781<205>

3316978961655854534153195003688101181773<40>

1162410042951082853969973586800067402242363622954077562914528831740710242343444344922415802345636535570579323655356701330810668456729435505409801965507095820389830697<166>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2512348465
Step 1 took 89354ms
Step 2 took 27722ms
********** Factor found in step 2: 3316978961655854534153195003688101181773
Found probable prime factor of 40 digits: 3316978961655854534153195003688101181773
Composite cofactor 1162410042951082853969973586800067402242363622954077562914528831740710242343444344922415802345636535570579323655356701330810668456729435505409801965507095820389830697 has 166 digits

1660040499017239825988134690323608933180911104648469327388624439985104228271897262889976573953667909939135032040983129192498174686562071332448421715065274281467313571077448747<175>

40652763128185333162077869162640072762599738915124517<53>
229646796052161277890120344282396129558668168803225205547<57>
177814930030672949096761202351679581437822710278504747331923508653<66>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=468313029
Step 1 took 362834ms
Step 2 took 90233ms
********** Factor found in step 2: 40652763128185333162077869162640072762599738915124517
Found probable prime factor of 53 digits: 40652763128185333162077869162640072762599738915124517
Composite cofactor 40834628971783278462284541028866725994447072853296933554261929685400376173102029180718702834530404023803217776687358098191 has 122 digits

-----------------------------------------------------------------------------------------
nfs: commencing gnfs on c122: 40834628971783278462284541028866725994447072853296933554261929685400376173102029180718702834530404023803217776687358098191
nfs: commencing poly selection with 8 threads
nfs: setting deadline of 2329 seconds
nfs: completed 66 ranges of size 250 in 2275.9907 seconds
nfs: best poly = # norm 1.185387e-11 alpha -7.327982 e 2.364e-10 rroots 5
nfs: commencing lattice sieving with 8 threads
nfs: commencing lattice sieving with 8 threads
nfs: commencing lattice sieving with 8 threads
nfs: commencing msieve filtering
nfs: commencing lattice sieving with 8 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp57 = 229646796052161277890120344282396129558668168803225205547
prp66 = 177814930030672949096761202351679581437822710278504747331923508653
NFS elapsed time = 60640.8225 seconds.

31473210311772014267449514251360477695893192169972495780149603269349435256047409057530647871372139465544405132517598956316230775384886491597446962145987905820293442171596701486712443637955773378757764417190690569543<215>

584391928849316960834373755456346674707696331<45>

53856339826156721666139855385587817561889491774255084117034926169035095214711042042596492977986843128651914250465680682331155712556309125854563650767218456925077181144053<170>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3323301268
Step 1 took 455539ms
Step 2 took 108492ms
********** Factor found in step 2: 584391928849316960834373755456346674707696331
Found probable prime factor of 45 digits: 584391928849316960834373755456346674707696331
Composite cofactor 53856339826156721666139855385587817561889491774255084117034926169035095214711042042596492977986843128651914250465680682331155712556309125854563650767218456925077181144053 has 170 digits

522954996042221170716811804581868211546585032094747560935615525915614243342805629956805524040191054519455386114928971209394591989983275138528273288262782360963354483718862816093640318292778717122563881<201>

148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148149<234>

7197593714499944415400713296228423797337881577928619705636601224591934481780615391723734416573528050145659630547797<115>
20583010659478547348971480934725675800429106951065856524841478987937960007840545342132531205923310072349652696111534817<119>

prp115 factor: 7197593714499944415400713296228423797337881577928619705636601224591934481780615391723734416573528050145659630547797
prp119 factor: 20583010659478547348971480934725675800429106951065856524841478987937960007840545342132531205923310072349652696111534817

ggnfs-lasieve4I14e on the RSALS grid + msieve

516956661794408392475257228718964774827876159085631652773438185309112047322295089659666846991837108428385660376782641866925643080096375449<138>

6848417295296577992049315970855790729<37>
467651787396932012324144965925280579047<39>
161414045489448785645140306134984506155356577844905764766138823<63>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2766205295
Step 1 took 59657ms
Step 2 took 30497ms
********** Factor found in step 2: 467651787396932012324144965925280579047
Found probable prime factor of 39 digits: 467651787396932012324144965925280579047
Composite cofactor 1105430740833729657128744273632969568352823638450296830721424528206409217075454528576419767850371967 has 100 digits

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=372211901
Step 1 took 63272ms
Step 2 took 32854ms
********** Factor found in step 2: 6848417295296577992049315970855790729
Found probable prime factor of 37 digits: 6848417295296577992049315970855790729
Composite cofactor 75485566884110416145437793561873893226352824731247102706307179712907318122214915348437495683827041681 has 101 digits

148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148149<237>

13428135418373402886630148134834896621<38>

11032667122602927446686752246896664656978657434076298931843380763901758525187686269382082188392085796229766956250339457641735998691483493549638908225316782884803026829355873706705225482395390586395369<200>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4020258548
Step 1 took 49407ms
Step 2 took 18672ms
********** Factor found in step 2: 13428135418373402886630148134834896621
Found probable prime factor of 38 digits: 13428135418373402886630148134834896621
Composite cofactor 11032667122602927446686752246896664656978657434076298931843380763901758525187686269382082188392085796229766956250339457641735998691483493549638908225316782884803026829355873706705225482395390586395369 has 200 digits

11032667122602927446686752246896664656978657434076298931843380763901758525187686269382082188392085796229766956250339457641735998691483493549638908225316782884803026829355873706705225482395390586395369<200>

18832847128620735848271547853592995086588206581<47>
585820457589565142038573829209962111465174246685987311601262566825765932331251897260439095640368828573827522287947809895634544625575779498648402575350949<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1352069305
Step 1 took 49417ms
Step 2 took 19526ms
********** Factor found in step 2: 18832847128620735848271547853592995086588206581
Found probable prime factor of 47 digits: 18832847128620735848271547853592995086588206581
Probable prime cofactor 585820457589565142038573829209962111465174246685987311601262566825765932331251897260439095640368828573827522287947809895634544625575779498648402575350949 has 153 digits

3329984212583301292619667689074149455447423599592890703211233128105319651651767927667606413363526162595617001967745950764011708139827801717991006614040102372701687506778466008146474684024093807501186747907966395727<214>

636807414755343235023987705948108086756576400080887929226456901080859768004794652170832913628871513219854466164499915044463488529883077901347990120732278450761841906551236852830611843019708013106757<198>

723223372071441657148035048929900783840993<42>

880512770116115583149165117519001863170434943978664810758938630680185702933098260274495026241193970130653962303883143179084647146499185466744860290384971749<156>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1209544664
Step 1 took 373528ms
Step 2 took 118827ms
********** Factor found in step 2: 723223372071441657148035048929900783840993
Found probable prime factor of 42 digits: 723223372071441657148035048929900783840993
Composite cofactor 880512770116115583149165117519001863170434943978664810758938630680185702933098260274495026241193970130653962303883143179084647146499185466744860290384971749 has 156 digits

880512770116115583149165117519001863170434943978664810758938630680185702933098260274495026241193970130653962303883143179084647146499185466744860290384971749<156>

23926621927854321913641539594015025293853114236441468023701018492144959288339<77>
36800546803937304073596078605963241783787652429301944089972373830849056001041191<80>

Sat Jun 04 08:46:35 2022  Msieve v. 1.53 (SVN 988)
Sat Jun 04 08:46:35 2022  random seeds: 0508a380 54d66b7d
Sat Jun 04 08:46:35 2022  factoring 880512770116115583149165117519001863170434943978664810758938630680185702933098260274495026241193970130653962303883143179084647146499185466744860290384971749 (156 digits)
Sat Jun 04 08:46:36 2022  searching for 15-digit factors
Sat Jun 04 08:46:37 2022  commencing number field sieve (156-digit input)
Sat Jun 04 08:46:37 2022  R0: -1349733733129575773678929045395
Sat Jun 04 08:46:37 2022  R1: 21211742430762019
Sat Jun 04 08:46:37 2022  A0: -11616598057563838692592972887244977344
Sat Jun 04 08:46:37 2022  A1: -58469660033439486399780592388776
Sat Jun 04 08:46:37 2022  A2: 40529174289562630920284096
Sat Jun 04 08:46:37 2022  A3: 1743097554668116204
Sat Jun 04 08:46:37 2022  A4: 143614459155
Sat Jun 04 08:46:37 2022  A5: 196560
Sat Jun 04 08:46:37 2022  skew 3789541.78, size 3.539e-015, alpha -7.369, combined = 2.398e-012 rroots = 3
Sat Jun 04 08:46:37 2022  
Sat Jun 04 08:46:37 2022  commencing relation filtering
Sat Jun 04 08:46:37 2022  setting target matrix density to 110.0
Sat Jun 04 08:46:37 2022  estimated available RAM is 16151.1 MB
Sat Jun 04 08:46:37 2022  commencing duplicate removal, pass 1
Sat Jun 04 08:47:08 2022  error -1 reading relation 2915597
Sat Jun 04 08:47:09 2022  error -15 reading relation 2956857
Sat Jun 04 08:47:09 2022  error -9 reading relation 3015289
Sat Jun 04 08:47:10 2022  error -15 reading relation 3047816
Sat Jun 04 08:51:38 2022  error -9 reading relation 28277167
Sat Jun 04 08:51:38 2022  error -15 reading relation 28305183
Sat Jun 04 08:52:16 2022  error -1 reading relation 31666527
Sat Jun 04 08:52:18 2022  error -5 reading relation 31865056
Sat Jun 04 08:52:18 2022  error -9 reading relation 31887786
Sat Jun 04 08:54:48 2022  error -15 reading relation 45114016
Sat Jun 04 08:56:15 2022  error -1 reading relation 52779036
Sat Jun 04 08:56:17 2022  error -15 reading relation 52964172
Sat Jun 04 08:56:37 2022  error -15 reading relation 54738930
Sat Jun 04 08:56:37 2022  error -15 reading relation 54767454
Sat Jun 04 08:56:38 2022  error -1 reading relation 54798485
Sat Jun 04 08:56:55 2022  error -1 reading relation 56322514
Sat Jun 04 08:57:15 2022  error -9 reading relation 58134048
Sat Jun 04 08:57:39 2022  error -9 reading relation 60200903
Sat Jun 04 08:57:39 2022  error -9 reading relation 60212929
Sat Jun 04 08:57:39 2022  error -15 reading relation 60214880
Sat Jun 04 08:57:39 2022  error -15 reading relation 60216494
Sat Jun 04 08:57:39 2022  error -15 reading relation 60225061
Sat Jun 04 08:57:39 2022  error -15 reading relation 60225948
Sat Jun 04 08:57:39 2022  error -15 reading relation 60227444
Sat Jun 04 08:57:39 2022  error -9 reading relation 60231758
Sat Jun 04 08:57:39 2022  error -9 reading relation 60232919
Sat Jun 04 08:57:39 2022  error -5 reading relation 60234016
Sat Jun 04 08:57:39 2022  error -9 reading relation 60234262
Sat Jun 04 08:57:40 2022  error -9 reading relation 60296164
Sat Jun 04 08:58:24 2022  skipped 17 relations with composite factors
Sat Jun 04 08:58:24 2022  found 14271646 hash collisions in 64306129 relations
Sat Jun 04 08:58:54 2022  commencing duplicate removal, pass 2
Sat Jun 04 08:59:40 2022  found 15027909 duplicates and 49278220 unique relations
Sat Jun 04 08:59:40 2022  memory use: 362.4 MB
Sat Jun 04 08:59:40 2022  reading ideals above 720000
Sat Jun 04 08:59:40 2022  commencing singleton removal, initial pass
Sat Jun 04 09:08:43 2022  memory use: 1378.0 MB
Sat Jun 04 09:08:43 2022  reading all ideals from disk
Sat Jun 04 09:08:46 2022  memory use: 1792.9 MB
Sat Jun 04 09:08:53 2022  keeping 47276831 ideals with weight <= 200, target excess is 254092
Sat Jun 04 09:08:59 2022  commencing in-memory singleton removal
Sat Jun 04 09:09:06 2022  begin with 49278220 relations and 47276831 unique ideals
Sat Jun 04 09:10:07 2022  reduce to 31726737 relations and 27966907 ideals in 14 passes
Sat Jun 04 09:10:07 2022  max relations containing the same ideal: 160
Sat Jun 04 09:10:25 2022  removing 2527003 relations and 2127003 ideals in 400000 cliques
Sat Jun 04 09:10:26 2022  commencing in-memory singleton removal
Sat Jun 04 09:10:30 2022  begin with 29199734 relations and 27966907 unique ideals
Sat Jun 04 09:10:59 2022  reduce to 29033113 relations and 25670551 ideals in 8 passes
Sat Jun 04 09:10:59 2022  max relations containing the same ideal: 151
Sat Jun 04 09:11:17 2022  removing 1938857 relations and 1538857 ideals in 400000 cliques
Sat Jun 04 09:11:18 2022  commencing in-memory singleton removal
Sat Jun 04 09:11:20 2022  begin with 27094256 relations and 25670551 unique ideals
Sat Jun 04 09:11:44 2022  reduce to 26983033 relations and 24018904 ideals in 7 passes
Sat Jun 04 09:11:44 2022  max relations containing the same ideal: 144
Sat Jun 04 09:12:00 2022  removing 1764740 relations and 1364740 ideals in 400000 cliques
Sat Jun 04 09:12:01 2022  commencing in-memory singleton removal
Sat Jun 04 09:12:04 2022  begin with 25218293 relations and 24018904 unique ideals
Sat Jun 04 09:12:26 2022  reduce to 25119324 relations and 22553803 ideals in 7 passes
Sat Jun 04 09:12:26 2022  max relations containing the same ideal: 135
Sat Jun 04 09:12:41 2022  removing 1679222 relations and 1279222 ideals in 400000 cliques
Sat Jun 04 09:12:42 2022  commencing in-memory singleton removal
Sat Jun 04 09:12:44 2022  begin with 23440102 relations and 22553803 unique ideals
Sat Jun 04 09:13:08 2022  reduce to 23342900 relations and 21176027 ideals in 8 passes
Sat Jun 04 09:13:08 2022  max relations containing the same ideal: 129
Sat Jun 04 09:13:23 2022  removing 1632324 relations and 1232324 ideals in 400000 cliques
Sat Jun 04 09:13:23 2022  commencing in-memory singleton removal
Sat Jun 04 09:13:26 2022  begin with 21710576 relations and 21176027 unique ideals
Sat Jun 04 09:13:45 2022  reduce to 21612006 relations and 19843620 ideals in 7 passes
Sat Jun 04 09:13:45 2022  max relations containing the same ideal: 125
Sat Jun 04 09:13:59 2022  removing 1606979 relations and 1206979 ideals in 400000 cliques
Sat Jun 04 09:13:59 2022  commencing in-memory singleton removal
Sat Jun 04 09:14:02 2022  begin with 20005027 relations and 19843620 unique ideals
Sat Jun 04 09:14:21 2022  reduce to 19903033 relations and 18532992 ideals in 8 passes
Sat Jun 04 09:14:21 2022  max relations containing the same ideal: 117
Sat Jun 04 09:14:33 2022  removing 1597577 relations and 1197577 ideals in 400000 cliques
Sat Jun 04 09:14:34 2022  commencing in-memory singleton removal
Sat Jun 04 09:14:36 2022  begin with 18305456 relations and 18532992 unique ideals
Sat Jun 04 09:14:52 2022  reduce to 18196051 relations and 17224069 ideals in 7 passes
Sat Jun 04 09:14:52 2022  max relations containing the same ideal: 110
Sat Jun 04 09:15:04 2022  removing 1600876 relations and 1200876 ideals in 400000 cliques
Sat Jun 04 09:15:04 2022  commencing in-memory singleton removal
Sat Jun 04 09:15:06 2022  begin with 16595175 relations and 17224069 unique ideals
Sat Jun 04 09:15:20 2022  reduce to 16474721 relations and 15900557 ideals in 7 passes
Sat Jun 04 09:15:20 2022  max relations containing the same ideal: 103
Sat Jun 04 09:15:31 2022  removing 1212496 relations and 933079 ideals in 279417 cliques
Sat Jun 04 09:15:31 2022  commencing in-memory singleton removal
Sat Jun 04 09:15:33 2022  begin with 15262225 relations and 15900557 unique ideals
Sat Jun 04 09:15:46 2022  reduce to 15188525 relations and 14892634 ideals in 7 passes
Sat Jun 04 09:15:46 2022  max relations containing the same ideal: 99
Sat Jun 04 09:15:58 2022  relations with 0 large ideals: 846
Sat Jun 04 09:15:58 2022  relations with 1 large ideals: 2099
Sat Jun 04 09:15:58 2022  relations with 2 large ideals: 32072
Sat Jun 04 09:15:58 2022  relations with 3 large ideals: 247666
Sat Jun 04 09:15:58 2022  relations with 4 large ideals: 1039791
Sat Jun 04 09:15:58 2022  relations with 5 large ideals: 2599083
Sat Jun 04 09:15:58 2022  relations with 6 large ideals: 4061314
Sat Jun 04 09:15:58 2022  relations with 7+ large ideals: 7205654
Sat Jun 04 09:15:58 2022  commencing 2-way merge
Sat Jun 04 09:16:11 2022  reduce to 9869073 relation sets and 9573181 unique ideals
Sat Jun 04 09:16:11 2022  commencing full merge
Sat Jun 04 09:20:41 2022  memory use: 1191.3 MB
Sat Jun 04 09:20:43 2022  found 4405076 cycles, need 4387381
Sat Jun 04 09:20:44 2022  weight of 4387381 cycles is about 483234168 (110.14/cycle)
Sat Jun 04 09:20:44 2022  distribution of cycle lengths:
Sat Jun 04 09:20:44 2022  1 relations: 314812
Sat Jun 04 09:20:44 2022  2 relations: 332226
Sat Jun 04 09:20:44 2022  3 relations: 347510
Sat Jun 04 09:20:44 2022  4 relations: 337239
Sat Jun 04 09:20:44 2022  5 relations: 331512
Sat Jun 04 09:20:44 2022  6 relations: 318371
Sat Jun 04 09:20:44 2022  7 relations: 300591
Sat Jun 04 09:20:44 2022  8 relations: 285202
Sat Jun 04 09:20:44 2022  9 relations: 264064
Sat Jun 04 09:20:44 2022  10+ relations: 1555854
Sat Jun 04 09:20:44 2022  heaviest cycle: 28 relations
Sat Jun 04 09:20:46 2022  commencing cycle optimization
Sat Jun 04 09:20:56 2022  start with 35859311 relations
Sat Jun 04 09:22:54 2022  pruned 1540481 relations
Sat Jun 04 09:22:54 2022  memory use: 991.1 MB
Sat Jun 04 09:22:54 2022  distribution of cycle lengths:
Sat Jun 04 09:22:54 2022  1 relations: 314812
Sat Jun 04 09:22:54 2022  2 relations: 341763
Sat Jun 04 09:22:54 2022  3 relations: 363377
Sat Jun 04 09:22:54 2022  4 relations: 351008
Sat Jun 04 09:22:54 2022  5 relations: 346891
Sat Jun 04 09:22:54 2022  6 relations: 331135
Sat Jun 04 09:22:54 2022  7 relations: 314440
Sat Jun 04 09:22:54 2022  8 relations: 295964
Sat Jun 04 09:22:54 2022  9 relations: 272616
Sat Jun 04 09:22:54 2022  10+ relations: 1455375
Sat Jun 04 09:22:54 2022  heaviest cycle: 28 relations
Sat Jun 04 09:23:03 2022  RelProcTime: 2186
Sat Jun 04 09:23:03 2022  
Sat Jun 04 09:23:03 2022  commencing linear algebra
Sat Jun 04 09:23:04 2022  read 4387381 cycles
Sat Jun 04 09:23:15 2022  cycles contain 14997193 unique relations
Sat Jun 04 09:25:27 2022  read 14997193 relations
Sat Jun 04 09:25:56 2022  using 20 quadratic characters above 4294917295
Sat Jun 04 09:27:17 2022  building initial matrix
Sat Jun 04 09:31:32 2022  memory use: 2029.3 MB
Sat Jun 04 09:31:37 2022  read 4387381 cycles
Sat Jun 04 09:31:38 2022  matrix is 4387204 x 4387381 (1899.0 MB) with weight 585737457 (133.51/col)
Sat Jun 04 09:31:38 2022  sparse part has weight 449561926 (102.47/col)
Sat Jun 04 09:32:33 2022  filtering completed in 2 passes
Sat Jun 04 09:32:35 2022  matrix is 4386983 x 4387160 (1899.0 MB) with weight 585727080 (133.51/col)
Sat Jun 04 09:32:35 2022  sparse part has weight 449558925 (102.47/col)
Sat Jun 04 09:32:52 2022  matrix starts at (0, 0)
Sat Jun 04 09:32:53 2022  matrix is 4386983 x 4387160 (1899.0 MB) with weight 585727080 (133.51/col)
Sat Jun 04 09:32:53 2022  sparse part has weight 449558925 (102.47/col)
Sat Jun 04 09:32:53 2022  saving the first 48 matrix rows for later
Sat Jun 04 09:32:55 2022  matrix includes 64 packed rows
Sat Jun 04 09:32:56 2022  matrix is 4386935 x 4387160 (1851.2 MB) with weight 495538797 (112.95/col)
Sat Jun 04 09:32:56 2022  sparse part has weight 441404473 (100.61/col)
Sat Jun 04 09:32:56 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sat Jun 04 09:33:22 2022  commencing Lanczos iteration (6 threads)
Sat Jun 04 09:33:22 2022  memory use: 1525.8 MB
Sat Jun 04 09:33:39 2022  linear algebra at 0.0%, ETA 12h49m
Sat Jun 04 09:33:45 2022  checkpointing every 340000 dimensions
Sun Jun 05 00:41:30 2022  lanczos halted after 69377 iterations (dim = 4386933)
Sun Jun 05 00:41:38 2022  recovered 30 nontrivial dependencies
Sun Jun 05 00:41:39 2022  BLanczosTime: 55116
Sun Jun 05 00:41:39 2022  
Sun Jun 05 00:41:39 2022  commencing square root phase
Sun Jun 05 00:41:39 2022  handling dependencies 1 to 64
Sun Jun 05 00:41:39 2022  reading relations for dependency 1
Sun Jun 05 00:41:41 2022  read 2194475 cycles
Sun Jun 05 00:41:47 2022  cycles contain 7498954 unique relations
Sun Jun 05 00:43:37 2022  read 7498954 relations
Sun Jun 05 00:44:35 2022  multiplying 7498954 relations
Sun Jun 05 00:58:12 2022  multiply complete, coefficients have about 397.93 million bits
Sun Jun 05 00:58:16 2022  initial square root is modulo 13811263
Sun Jun 05 01:13:59 2022  GCD is N, no factor found
Sun Jun 05 01:13:59 2022  reading relations for dependency 2
Sun Jun 05 01:14:01 2022  read 2194871 cycles
Sun Jun 05 01:14:08 2022  cycles contain 7502048 unique relations
Sun Jun 05 01:15:46 2022  read 7502048 relations
Sun Jun 05 01:16:40 2022  multiplying 7502048 relations
Sun Jun 05 01:30:42 2022  multiply complete, coefficients have about 398.10 million bits
Sun Jun 05 01:30:46 2022  initial square root is modulo 13907057
Sun Jun 05 01:46:27 2022  GCD is 1, no factor found
Sun Jun 05 01:46:27 2022  reading relations for dependency 3
Sun Jun 05 01:46:29 2022  read 2192019 cycles
Sun Jun 05 01:46:35 2022  cycles contain 7495176 unique relations
Sun Jun 05 01:48:13 2022  read 7495176 relations
Sun Jun 05 01:49:10 2022  multiplying 7495176 relations
Sun Jun 05 02:02:52 2022  multiply complete, coefficients have about 397.73 million bits
Sun Jun 05 02:02:56 2022  initial square root is modulo 13697701
Sun Jun 05 02:18:14 2022  GCD is 1, no factor found
Sun Jun 05 02:18:14 2022  reading relations for dependency 4
Sun Jun 05 02:18:16 2022  read 2193944 cycles
Sun Jun 05 02:18:21 2022  cycles contain 7497912 unique relations
Sun Jun 05 02:19:58 2022  read 7497912 relations
Sun Jun 05 02:20:55 2022  multiplying 7497912 relations
Sun Jun 05 02:34:45 2022  multiply complete, coefficients have about 397.88 million bits
Sun Jun 05 02:34:48 2022  initial square root is modulo 13780163
Sun Jun 05 02:50:33 2022  sqrtTime: 7734
Sun Jun 05 02:50:33 2022  p77 factor: 23926621927854321913641539594015025293853114236441468023701018492144959288339
Sun Jun 05 02:50:33 2022  p80 factor: 36800546803937304073596078605963241783787652429301944089972373830849056001041191
Sun Jun 05 02:50:33 2022  elapsed time 18:03:58

Msieve v. 1.53 (SVN 988)

Core i7-10750H with 16 GB memory, 6 threads, Windows 10

19267367824309334777143617154648639680986016080154830230493377337205971539054821979197321261852913918052019738771679409087755445256488401025267259355082661182711175032546339<173>

406761978052799346188165823062399<33>
47367671670158789233008224875504601203605298693367012704366265330088806297986181613392322192779311184174918905859993832571779294651598260061<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3658169993
Step 1 took 60031ms
Step 2 took 26921ms
********** Factor found in step 2: 406761978052799346188165823062399
Found probable prime factor of 33 digits: 406761978052799346188165823062399
Probable prime cofactor 47367671670158789233008224875504601203605298693367012704366265330088806297986181613392322192779311184174918905859993832571779294651598260061 has 140 digits

20144340584226817000545872350487033247921314969333887876144621446443675151341197148082596805216151717335045413871880253435043740743590701396001471093296048468947044014795958531929228341563768729363836360418599<209>

519133397546636945223252728933<30>

38803784690845529774385236984764275884514422206223819921080410523884935395227743725622205330638965767510273540181571876668179658310331062138236921991254876511838776348588996584603<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2537341986
Step 1 took 24883ms
Step 2 took 12778ms
********** Factor found in step 2: 519133397546636945223252728933
Found probable prime factor of 30 digits: 519133397546636945223252728933
Composite cofactor 38803784690845529774385236984764275884514422206223819921080410523884935395227743725622205330638965767510273540181571876668179658310331062138236921991254876511838776348588996584603 has 179 digits

15367322318418399365966257917770510258594713596834777241245455310722174384385753247255479916792229962766175495461577804329268044547583649881440108632025098451626074765444029977265811790148413724518737553783122867<212>

157167675747902176258262323761316071091504029959104816443525844978755720963073298971707544879546309167397688827412430640697020941812604028411044506133492170131683690339678284518072142466235621989188652202436747220108073579798103122297<234>

37775747908500211238165298736698551840859172132587271931287091299355018704190997526700240757243439231283641046599464785013941810232727517684952389621611880419335234621149435395462708703546466247021458276382159823<212>

7506674135277540221490673949839600389032807<43>
5032288231478366797095006830990261706053673453078640729705206817127370360142023437886861178489622878603747685378742235924271765710016209159915456069105300603578180320089<169>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4132933709
Step 1 took 393332ms
Step 2 took 105155ms
********** Factor found in step 2: 7506674135277540221490673949839600389032807
Found probable prime factor of 43 digits: 7506674135277540221490673949839600389032807
Probable prime cofactor 5032288231478366797095006830990261706053673453078640729705206817127370360142023437886861178489622878603747685378742235924271765710016209159915456069105300603578180320089 has 169 digits

152982820497522412511575740379254906357352562033270509369651771522124790003813479975352725891011033765382741720053299742101993925852199856146037261775769354428431981813330663037400166440823308574376642813647575757825843859583<225>

185375314904118877407925408084912241<36>

825259935912444769667010294424538854753205530680592171047188231225565394218701521056459768670812235531603027896807698976785145102752265448968507771734956290361288989605466516167919918612463<189>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2682574846
Step 1 took 117090ms
Step 2 took 36390ms
********** Factor found in step 2: 185375314904118877407925408084912241
Found probable prime factor of 36 digits: 185375314904118877407925408084912241
Composite cofactor 825259935912444769667010294424538854753205530680592171047188231225565394218701521056459768670812235531603027896807698976785145102752265448968507771734956290361288989605466516167919918612463 has 189 digits

825259935912444769667010294424538854753205530680592171047188231225565394218701521056459768670812235531603027896807698976785145102752265448968507771734956290361288989605466516167919918612463<189>

5312776168868277648748467284434704073171185463844543722957373<61>
155334971713713440535637019984833551443750453456680918701697948680589441624798553252044109534763220320707973133051554950610514331<129>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1091070925
Step 1 took 338828ms
Step 2 took 93865ms
********** Factor found in step 2: 5312776168868277648748467284434704073171185463844543722957373
Found probable prime factor of 61 digits: 5312776168868277648748467284434704073171185463844543722957373
Probable prime cofactor 155334971713713440535637019984833551443750453456680918701697948680589441624798553252044109534763220320707973133051554950610514331 has 129 digits

977616787371641063401390736014096623031418484627018920970530307380608536831560152330016662832541022608942999061947260235994661324674321867769890123519236587346907087560319849232309667723007124810118099334563981663607<216>

426620999585417232389113025081944102669<39>

2291534613443013413588968385907270360846338338097348154594143074763491196947606160276838253120018955480900811537499379345532457245571211038564756488494698096110446647138215552403<178>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=557723112
Step 1 took 114122ms
Step 2 took 37927ms
********** Factor found in step 2: 426620999585417232389113025081944102669
Found probable prime factor of 39 digits: 426620999585417232389113025081944102669
Composite cofactor 2291534613443013413588968385907270360846338338097348154594143074763491196947606160276838253120018955480900811537499379345532457245571211038564756488494698096110446647138215552403 has 178 digits

2291534613443013413588968385907270360846338338097348154594143074763491196947606160276838253120018955480900811537499379345532457245571211038564756488494698096110446647138215552403<178>

37440268844725210877019172474261381567673<41>

61205079027253227074866629218825978757155033591305958667959920486060065649427504172970857885390478364831705909954230237606039330992996011<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3328405264
Step 1 took 85613ms
Step 2 took 22679ms
********** Factor found in step 2: 37440268844725210877019172474261381567673
Found probable prime factor of 41 digits: 37440268844725210877019172474261381567673
Composite cofactor 61205079027253227074866629218825978757155033591305958667959920486060065649427504172970857885390478364831705909954230237606039330992996011 has 137 digits

61205079027253227074866629218825978757155033591305958667959920486060065649427504172970857885390478364831705909954230237606039330992996011<137>

210702158445950282588592615413383479875818485532709839<54>
290481499946065669090870884743268835723706379935715106564790670858985084984149570149<84>

Number: 44447_248
N = 61205079027253227074866629218825978757155033591305958667959920486060065649427504172970857885390478364831705909954230237606039330992996011 (137 digits)
Divisors found:
r1=210702158445950282588592615413383479875818485532709839 (pp54)
r2=290481499946065669090870884743268835723706379935715106564790670858985084984149570149 (pp84)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 258.45 hours.
Factorization parameters were as follows:
# Murphy_E = 3.3e-11, selected by Dmitry Domanov
n: 61205079027253227074866629218825978757155033591305958667959920486060065649427504172970857885390478364831705909954230237606039330992996011
Y0: -706384032518627700533847745
Y1: 516395873138149
c0: -265898707943511855990257998128576
c1: 62645484677660733677651069508
c2: -62108758150649322520144
c3: -7701566880778529
c4: 4220913092
c5: 348
skew: 3474161.18
type: gnfs
# selected mechanically
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7500000, 18900000)
Relations: 23025990
Relations in full relation-set: 3912880 relations
Pruned matrix : 2351021 x 2351248
Polynomial selection time: 0.00 hours.
Total sieving time: 253.58 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.56 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,15000000,15000000,28,28,55,55,2.6,2.6,100000
total time: 258.45 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

35862538888440607152783381299479096622645400181105821386625066121556075562369437944359270914584398002456583913858181589965661619014318118651209912405748764983817029326591176022306499188610057649031263168275998099285438912647820902480791127607879<245>

49366298394984908890616595815235204520807676693902607989273203779056213866780215119344726436151132588219787510286461075591212006532094867096853293625605902108853295771439620784009495278899342773887585768022413308549385180309<224>

134109880175405108095993045300124293948112832167423721847821598133519818559467514724999765475610194505384148131549914561085395253046571392750538495388321095959875053659877810725486097737135255693135386201564366453779004157525241423732501<237>

861369282327510112440565980827667461750218532418069785494079712863926136407035100242574515136138018040707355397292986442778872241925660598619191591082038117808541185636960132506423309680795040274014505966881583625527<216>

4757909782327308527783745924558753538296656470228591248121004273976508210851126720341232871229885377371893328274817472569628986731273189644855350887166278119268494462194000526121107183041582554297392553613794811917200889<220>

6297599111610379584847855681392861331716368657530531938407322343217280274081009736103645702924573635157890161788237304609915192292542849946202915218329411197285683634480123798021823889220516115183110456771479807212349747616275136565096889<238>

1229747623693000526820113354134080481366306570410115568343146052237151935695161069695082956772087660355010552200101047401433402725979726801548380852343009538949295596903142762717652091073652867791860923231715557210829596151466150204300739463<241>

43155166203228465262259854377998694306783333925955126000279994241945866776225730598721565492255800419370811911725854525503274638524174818955408902529578075806982069310069936577487253197119081724256660668748794095885589305769692915725058850577132147<248>

3749058392279183623149728959533810887592761<43>

11510934663515051706097811041303245192390282370648777200212827343665194238082721135889434361993117203731274040108770693845571920370020343275769320229698320200475321136267926283400243615729852902039660111627<206>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:35648371
Step 1 took 360542ms
Step 2 took 104416ms
********** Factor found in step 2: 3749058392279183623149728959533810887592761
Found prime factor of 43 digits: 3749058392279183623149728959533810887592761

199959568674623593861646561824386663603964196004588688827301290981581285373997841160717793671215815809682648472690946075613796599579597077800336376106152599853598591296508253702850853018431075209513467288039664434511395426655297794052642131<240>

12776158092928163064918867083582740229<38>

15650993610145202300258808234442781448603109572685452391042556372551993166058405401122467202759270476079041475438026414900788661369465988227621689672939961946772717871841996970318673849702574173199710839<203>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3859864259
Step 1 took 322646ms
Step 2 took 87987ms
********** Factor found in step 2: 12776158092928163064918867083582740229
Found prime factor of 38 digits: 12776158092928163064918867083582740229

1850674682280759223199104000805147526919061388045331189313955414034776951630081374051270039580466208599457863845575904700667720884156830421104630260371206390469590492200190925194776297652287219338208983350677<208>

520231133634746492394327349860841<33>
149767615810315382672800068522602237<36>
23752855581063137390497936188920547870799065912945170892892598634541782336993789469230245186085127537727273591137583060000489238975385432081<140>

Input number is 1850674682280759223199104000805147526919061388045331189313955414034776951630081374051270039580466208599457863845575904700667720884156830421104630260371206390469590492200190925194776297652287219338208983350677 (208 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1797259939
Step 1 took 5819ms
********** Factor found in step 1: 520231133634746492394327349860841
Found probable prime factor of 33 digits: 520231133634746492394327349860841
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=766053541
Step 1 took 15179ms
Step 2 took 6474ms
********** Factor found in step 2: 149767615810315382672800068522602237
Found probable prime factor of 36 digits: 149767615810315382672800068522602237
Probable prime cofactor 23752855581063137390497936188920547870799065912945170892892598634541782336993789469230245186085127537727273591137583060000489238975385432081 has 140 digits

GMP-ECM 6.4.4

58698555542000547446356033781093835071741041418502864080854114244279098380974435941907502252407519312522904221652921224684927927921966998391909565171737549306324270249486770439179460353093283190973573431984381903160554596320822357082835921327377965589<251>

2933118553388144225321743923321233677<37>

20012336519502720076761795125741574476639253101799071543837539199703051924237051872975559630561460550165185215439885707878733301064617849015448396806607266603363903253273613325628129706439819445298089939727954998057<215>

Input number is 58698555542000547446356033781093835071741041418502864080854114244279098380974435941907502252407519312522904221652921224684927927921966998391909565171737549306324270249486770439179460353093283190973573431984381903160554596320822357082835921327377965589 (251 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=784047577
Step 1 took 9594ms
Step 2 took 4602ms
********** Factor found in step 2: 2933118553388144225321743923321233677
Found probable prime factor of 37 digits: 2933118553388144225321743923321233677
Composite cofactor 20012336519502720076761795125741574476639253101799071543837539199703051924237051872975559630561460550165185215439885707878733301064617849015448396806607266603363903253273613325628129706439819445298089939727954998057 has 215 digits

GMP-ECM 6.4.4

10372127525914841932919298044095039547230091806996205556958125813386523377105405096009821385643800173105499539928518029818021126410588993610480111390258935927008690841468031720854302870847759797063295600619197949232154624785554928241<233>

72116426430291600314010594633499314505681<41>

143824757261657101060814464467829305151569107889756732648809343678143838218378940618273425042332935194926774968281044876190889274571344630622698033127180173450744556345559756333563116631705761<192>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1763530650
Step 1 took 35158ms
Step 2 took 10137ms
********** Factor found in step 2: 72116426430291600314010594633499314505681
Found probable prime factor of 41 digits: 72116426430291600314010594633499314505681

6778303911614347806233236166426239031373300124726791088973244361900562717622552342244804805622082012917009389026430356830554280558758580126155851541943262483579918119416992941029166935692201331296087542028401236894067685432002741565547774551241<244>

245970558267758900713468977827777764064638585523905219042716425009655749380500361673912474235568728555710032900964211406663545868712488454071977222462533271960782906115105242043470623177576070615575576261<204>

153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980843<267>

10849093918348772360339388556893865015139485734281948456984366889361156202347144874147630670479280581559784828960777482280852017210869881734029791885945083433050338695724808177813407522522384857748023702901632058364391867755647457622731637388843<245>

1764422236237939307242111377693244889143<40>
6148808202214092475504233615104414811195051220296319924382143838055271238860496604761301857191175025901611277027202300066517956076914611422726887182457831696161638566724419270638878337534985805359017897901<205>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3308040420
Step 1 took 349076ms
Step 2 took 97406ms
********** Factor found in step 2: 1764422236237939307242111377693244889143
Found prime factor of 40 digits: 1764422236237939307242111377693244889143

3934274168104150512042562850674303903515657865265595846850723111036707140164238861869478881572638941146256343848188464913830966540667000074680295672045938482665526179968045269333661340381413505867384956265698919421302385068589802880983183<238>

8967595936186827434478597755530195571287347147388287766016987254034377644895716053145341195232732773655215109918200015846660058188642393714600565576304281851789809637355124093947152490230424199049694410303039159447068891483706403667849407886499<244>

199261002442074040402026699874461866121778662199610891671190438461090476892244046385870031014153965329675927158780943633291105421385529241198212055833919169144949797518079502211964226525103927480490986614808894588585308349587680491395897731555962258607158431<258>

16035084765466841449090610255238461754318448765899788737758214974363908231209887233266386854437509270283380035517712755509053809735701715353192785815364016468032054134446168216056732129900221685046882579083033677686778671733753452554188564579299507322020581031296476691<269>

1495287250602345672992865288725500585152123079504431489637390264471024320980689735108680667859606720199761444952504935471417432408513837592616611553746581171962896444539655811039731813148369892669686329912788894502904571868780733605190939317021492771929<253>

6969893498151763367400437194031098848523934496296730781019<58>

214535164848481174589915072673710917034419955973135741344538965121525280102003398540113063655700760097868890900431422158796675128249125309402899381486596517577822561833510457227578265480865836891<195>

Input number is 1495287250602345672992865288725500585152123079504431489637390264471024320980689735108680667859606720199761444952504935471417432408513837592616611553746581171962896444539655811039731813148369892669686329912788894502904571868780733605190939317021492771929 (253 digits)
Using B1=110000000-110000000, B2=776278396540, polynomial Dickson(30), sigma=3:4207257921
Step 1 took 0ms
Step 2 took 364953ms
********** Factor found in step 2: 6969893498151763367400437194031098848523934496296730781019
Found prime factor of 58 digits: 6969893498151763367400437194031098848523934496296730781019
Composite cofactor 214535164848481174589915072673710917034419955973135741344538965121525280102003398540113063655700760097868890900431422158796675128249125309402899381486596517577822561833510457227578265480865836891 has 195 digits

GMP-ECM GPU

7972735140832095673924417695577165727424011328206652910196640452762413112527264554240583153308604366530524519277609120256476395873666907511697571927300374148711509421376861269238018874274935193801504987400397767808303311188440901740653634614934486416211<253>

87697713376365334661282831011211<32>

90911550984415515637204764409352764822097782538534711747778062956910400542571799571506340657387786611971492508342558068501172990554015196481586434781604770341021682568317454682301891536065581034002587040853348199370855001<221>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 7972735140832095673924417695577165727424011328206652910196640452762413112527264554240583153308604366530524519277609120256476395873666907511697571927300374148711509421376861269238018874274935193801504987400397767808303311188440901740653634614934486416211 (253 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2089608970
Step 1 took 7987ms
Step 2 took 3885ms
********** Factor found in step 2: 87697713376365334661282831011211
Found probable prime factor of 32 digits: 87697713376365334661282831011211
Composite cofactor 90911550984415515637204764409352764822097782538534711747778062956910400542571799571506340657387786611971492508342558068501172990554015196481586434781604770341021682568317454682301891536065581034002587040853348199370855001 has 221 digits