992335509349871354723416775422313367980880327033705308667135048478218116917002201583659164168205143446837552843965167068843<123>

147578844538555167154379562564198635879111107545264229249<57>
6724104070964062862708978830908866005677012688304296879046893860907<67>

Number: n
N=992335509349871354723416775422313367980880327033705308667135048478218116917002201583659164168205143446837552843965167068843
  ( 123 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=147578844538555167154379562564198635879111107545264229249 (pp57)
 r2=6724104070964062862708978830908866005677012688304296879046893860907 (pp67)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.42 hours.
Scaled time: 28.06 units (timescale=1.445).
Factorization parameters were as follows:
name: KA_1_7_154_1
n: 992335509349871354723416775422313367980880327033705308667135048478218116917002201583659164168205143446837552843965167068843
skew: 2.61
deg: 5
c5: 1
c0: -122
m: 20000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:216816, AFBsize:216857, largePrimes:6849328 encountered
Relations: rels:6484465, finalFF:621032
Max relations in full relation-set: 28
Initial matrix: 433737 x 621032 with sparse part having weight 35182490.
Pruned matrix : 269851 x 272083 with weight 16048658.
Total sieving time: 17.58 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.63 hours.
Total square root time: 0.04 hours, sqrts: 1.
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: 19.42 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

86979537519103461782092569035659633272670405698975682128142205691549106562042437484882770980569151808377940663563705495773471<125>

2966774020885178915193117624664369288559<40>
29317884310296032844640928591941378129027096529790688817039501129820426892441986873169<86>

Input number is 86979537519103461782092569035659633272670405698975682128142205691549106562042437484882770980569151808377940663563705495773471 (125 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2631712953
Step 1 took 48204ms
Step 2 took 22449ms
********** Factor found in step 2: 2966774020885178915193117624664369288559
Found probable prime factor of 40 digits: 2966774020885178915193117624664369288559
Probable prime cofactor 29317884310296032844640928591941378129027096529790688817039501129820426892441986873169 has 86 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

661984724369704169532858342692717943247722809774460911744787521251800997758672407790754400607584194600473401375243866412677999<126>

188771796820566483431209728112718047569192774367<48>
3506798873133264834251861643109592173565728384191166286258478470759285819773297<79>

Number: 17771_159
N=661984724369704169532858342692717943247722809774460911744787521251800997758672407790754400607584194600473401375243866412677999
  ( 126 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=188771796820566483431209728112718047569192774367 (pp48)
 r2=3506798873133264834251861643109592173565728384191166286258478470759285819773297 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 29.47 hours.
Scaled time: 63.21 units (timescale=2.145).
Factorization parameters were as follows:
n: 661984724369704169532858342692717943247722809774460911744787521251800997758672407790754400607584194600473401375243866412677999
m: 200000000000000000000000000000000
c5: 1
c0: -1220
skew: 4.14
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3700001)
Primes: RFBsize:283146, AFBsize:282548, largePrimes:5712059 encountered
Relations: rels:5803604, finalFF:708737
Max relations in full relation-set: 28
Initial matrix: 565758 x 708737 with sparse part having weight 44615649.
Pruned matrix : 451837 x 454729 with weight 28540403.
Total sieving time: 28.30 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.04 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 29.47 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).

Core 2 Quad Q6600

4657526271359124385060984484615608534916892265595435624254068058102640235205076703635781445579716473088231013303059412569499024830436934183331877856373533606963<160>

646634560597002933420775479995833343960443<42>
398763057690552657144449211172587774514959984401<48>
18062650687187667320018671801554696018440996733928315494676273037001241<71>

Number: n
N=4657526271359124385060984484615608534916892265595435624254068058102640235205076703635781445579716473088231013303059412569499024830436934183331877856373533606963
  ( 160 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=646634560597002933420775479995833343960443 (pp42)
 r2=398763057690552657144449211172587774514959984401 (pp48)
 r3=18062650687187667320018671801554696018440996733928315494676273037001241 (pp71)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 57.05 hours.
Scaled time: 77.82 units (timescale=1.364).
Factorization parameters were as follows:
name: KA_1_7_162_1
n: 4657526271359124385060984484615608534916892265595435624254068058102640235205076703635781445579716473088231013303059412569499024830436934183331877856373533606963
skew: 0.66
deg: 5
c5: 500
c0: -61
m: 200000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2300001)
Primes: RFBsize:283146, AFBsize:283473, largePrimes:5594710 encountered
Relations: rels:5651279, finalFF:678375
Max relations in full relation-set: 28
Initial matrix: 566685 x 678375 with sparse part having weight 40831702.
Pruned matrix : 469314 x 472211 with weight 24216609.
Total sieving time: 52.65 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.92 hours.
Total square root time: 0.26 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.5,2.5,100000
total time: 57.05 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5321094815258239382753001430044231600651834114869134324387242675180418371079849679071468954737437227709601250457281585686254946955336060394426153181016994246566231<163>

15109262159303914200235970117303182989937<41>
583000610683684808553479287729266199706051525409391<51>
604072035468266231595132183421912411669884078283681280966762593973524393<72>

Number: n
N=5321094815258239382753001430044231600651834114869134324387242675180418371079849679071468954737437227709601250457281585686254946955336060394426153181016994246566231
  ( 163 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=15109262159303914200235970117303182989937 (pp41)
 r2=583000610683684808553479287729266199706051525409391 (pp51)
 r3=604072035468266231595132183421912411669884078283681280966762593973524393 (pp72)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 69.44 hours.
Scaled time: 82.77 units (timescale=1.192).
Factorization parameters were as follows:
name: KA_1_7_165_1
n: 5321094815258239382753001430044231600651834114869134324387242675180418371079849679071468954737437227709601250457281585686254946955336060394426153181016994246566231
type: snfs
skew: 1.65
deg: 5
c5: 5
c0: -61
m: 2000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
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, 2300001)
Primes: RFBsize:348513, AFBsize:348832, largePrimes:7702629 encountered
Relations: rels:7363647, finalFF:782908
Max relations in full relation-set: 28
Initial matrix: 697410 x 782908 with sparse part having weight 38983048.
Pruned matrix : 613328 x 616879 with weight 24922462.
Total sieving time: 61.20 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 7.66 hours.
Total square root time: 0.28 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.6,2.6,100000
total time: 69.44 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

76835965255679333973559409330624423751270416654595016187825171305664481341363095091369416050073652795282571393565786043425949148796049816924626372032818926630667<161>

276893190703697940414783252826468932935031019517441970031773419<63>
277493155611403703683054353264914582179810037056175052898430042343277972816202057969029288816183393<99>

Number: n
N=76835965255679333973559409330624423751270416654595016187825171305664481341363095091369416050073652795282571393565786043425949148796049816924626372032818926630667
  ( 161 digits)
SNFS difficulty: 169 digits.
Divisors found:

Tue May 27 10:02:13 2008  prp63 factor: 276893190703697940414783252826468932935031019517441970031773419
Tue May 27 10:02:13 2008  prp99 factor: 277493155611403703683054353264914582179810037056175052898430042343277972816202057969029288816183393
Tue May 27 10:02:13 2008  elapsed time 01:01:22 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 72.06 hours.
Scaled time: 60.46 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_1_7_167_1
n: 76835965255679333973559409330624423751270416654595016187825171305664481341363095091369416050073652795282571393565786043425949148796049816924626372032818926630667
type: snfs
deg: 5
c5: 500
c0: -61
skew: 0.66
m: 2000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4300447)
Primes: RFBsize:250150, AFBsize:250362, largePrimes:5832541 encountered
Relations: rels:5819193, finalFF:557034
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 71.86 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,48,48,2.5,2.5,100000
total time: 72.06 hours.
 --------- CPU info (if available) ----------

518577494014575271846975043011137983452218308820037588072919544803916121046830631947861998124248547425682307209664821092279905057663153577253<141>

2083352443623955517456574595370861273778187700398395438300935987<64>
248914913845551113972421378475204343559532544725717959578969110953994879400519<78>

Number: 17771_170
N=518577494014575271846975043011137983452218308820037588072919544803916121046830631947861998124248547425682307209664821092279905057663153577253
  ( 141 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=2083352443623955517456574595370861273778187700398395438300935987
 r2=248914913845551113972421378475204343559532544725717959578969110953994879400519
Version: 
Total time: 25.77 hours.
Scaled time: 61.55 units (timescale=2.388).
Factorization parameters were as follows:
n: 518577494014575271846975043011137983452218308820037588072919544803916121046830631947861998124248547425682307209664821092279905057663153577253
m: 20000000000000000000000000000000000
deg: 5
c5: 1
c0: -122
skew: 2.61
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 4700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10618324
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 860509 x 860757
Total sieving time: 23.02 hours.
Total relation processing time: 1.02 hours.
Matrix solve time: 1.65 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 25.77 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672387)
Calibrating delay using timer specific routine.. 5344.57 BogoMIPS (lpj=2672286)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618908)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

7027767210432017693197162292111583596851847704497755291936070419810200093347522268321872666523258643695391096428782659743696661732069745996297465301960793769979<160>

1326288982702582673029121665373066080254716222864506558111<58>
5298820469813085006548338151874038728594716331197631203696580068921274591131231214539222639337102417189<103>

N=7027767210432017693197162292111583596851847704497755291936070419810200093347522268321872666523258643695391096428782659743696661732069745996297465301960793769979
  ( 160 digits)
SNFS difficulty: 172 digits.
Divisors found:
r1=1326288982702582673029121665373066080254716222864506558111 (pp58)
r2=5298820469813085006548338151874038728594716331197631203696580068921274591131231214539222639337102417189 (pp103)
Version: Msieve v. 1.41
Total time: 43.23 hours.
Scaled time: 85.93 units (timescale=1.988).
Factorization parameters were as follows:
n: 7027767210432017693197162292111583596851847704497755291936070419810200093347522268321872666523258643695391096428782659743696661732069745996297465301960793769979
m: 20000000000000000000000000000000000
deg: 5
c5: 5
c0: -61
skew: 1.65
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 4800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 870887 x 871135
Total sieving time: 41.66 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.04 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 43.23 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve 1.41

1151822103888513076224955611640966263663911865133587617211283928197547687422894865258722122293021872646856399143844793592676545268233<133>

135965850818832163366428434716861267669987620088028202331<57>
8471407319939913542116337682015819400286695431157188693445958256424728328043<76>

Number: 171
N=1151822103888513076224955611640966263663911865133587617211283928197547687422894865258722122293021872646856399143844793592676545268233
  ( 133 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=135965850818832163366428434716861267669987620088028202331 (pp57)
 r2=8471407319939913542116337682015819400286695431157188693445958256424728328043 (pp76)
Version: Msieve-1.40
Total time: 69.41 hours.
Scaled time: 128.75 units (timescale=1.855).
Factorization parameters were as follows:
n: 1151822103888513076224955611640966263663911865133587617211283928197547687422894865258722122293021872646856399143844793592676545268233
m: 20000000000000000000000000000000000
deg: 5
c5: 500
c0: -61
skew: 0.66
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 240000Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 6400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 827332 x 827558
Total sieving time: 68.39 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 69.41 hours.
 --------- CPU info (if available) ----------

11263877449013354734700486458707329264257604877258935422782600125310636620273571423542911853119038064865854259505656578456426394080832400543482086914894365949298471632628637<173>

817155339792930387676948727914630841<36>

13784254841763201401763506838527012403768451779816402753683122065119425484587917320413953839479488490114718629521019279324075409499402757<137>

Input number is 11263877449013354734700486458707329264257604877258935422782600125310636620273571423542911853119038064865854259505656578456426394080832400543482086914894365949298471632628637 (173 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3334271468
Step 1 took 255125ms
Step 2 took 94234ms
********** Factor found in step 2: 817155339792930387676948727914630841
Found probable prime factor of 36 digits: 817155339792930387676948727914630841
Composite cofactor 13784254841763201401763506838527012403768451779816402753683122065119425484587917320413953839479488490114718629521019279324075409499402757 has 137 digits

GMP-ECM 6.1.3

13784254841763201401763506838527012403768451779816402753683122065119425484587917320413953839479488490114718629521019279324075409499402757<137>

82068059256691752376549618258291108277699770021<47>
167961262476658922873420456452482801466586899559238933534140806772990773903374749438824417<90>

Number: 176
N=13784254841763201401763506838527012403768451779816402753683122065119425484587917320413953839479488490114718629521019279324075409499402757
  ( 137 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=82068059256691752376549618258291108277699770021 (pp47)
 r2=167961262476658922873420456452482801466586899559238933534140806772990773903374749438824417 (pp90)
Version: Msieve-1.40
Total time: 66.49 hours.
Scaled time: 127.06 units (timescale=1.911).
Factorization parameters were as follows:
n: 13784254841763201401763506838527012403768451779816402753683122065119425484587917320413953839479488490114718629521019279324075409499402757
m: 200000000000000000000000000000000000
deg: 5
c5: 5
c0: -61
skew: 1.65
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3150000, 6270001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1090637 x 1090865
Total sieving time: 63.98 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.91 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 66.49 hours.
 --------- CPU info (if available) ----------

989834828681665399853472312841987442258643354354430225528376462345653595930604068651934372022412700604935099521131142738176217565204386155028781754887040401670182678449<168>

1679496249744950825404090737325281377487612457874973605344416067<64>
589364119647175295631609228905344719973480502372064776005673680489141572855930476390006755732096752189947<105>

N=989834828681665399853472312841987442258643354354430225528376462345653595930604068651934372022412700604935099521131142738176217565204386155028781754887040401670182678449
  ( 168 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=1679496249744950825404090737325281377487612457874973605344416067 (pp64)
 r2=589364119647175295631609228905344719973480502372064776005673680489141572855930476390006755732096752189947 (pp105)
Version: Msieve v. 1.47
Total time:
Scaled time: 42.08 units (timescale=1.347).
Factorization parameters were as follows:
n: 989834828681665399853472312841987442258643354354430225528376462345653595930604068651934372022412700604935099521131142738176217565204386155028781754887040401670182678449
m: 200000000000000000000000000000000000
deg: 5
c5: 50
c0: -61
skew: 1.04
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 7250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1196840 x 1197071
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time:

75483828934206549137401468245392077868363090238134024651980627264013608224680258756678490736695279283798108497908130801964259067483156373290745357048653998310011424949283123<173>

19562614351742767018731532020867171831091<41>
3858575729040119354883278764537129621673195247212491754942684997916510277957985901671846419809832403343016142109955609123635925988353<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=14936716
Step 1 took 15813ms
Step 2 took 6564ms
********** Factor found in step 2: 19562614351742767018731532020867171831091
Found probable prime factor of 41 digits: 19562614351742767018731532020867171831091
Probable prime cofactor 3858575729040119354883278764537129621673195247212491754942684997916510277957985901671846419809832403343016142109955609123635925988353 has 133 digits

GMP-ECM 6.2.3

1616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161<181>

875423954337579283724570530051042761164622675183831303860786988601476587061520145977<84>
1846147353123941432037361969644146179225690892776532016346590270070332318078159872250761970493993<97>

Number: n
N=1616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161
  ( 181 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=875423954337579283724570530051042761164622675183831303860786988601476587061520145977 (pp84)
 r2=1846147353123941432037361969644146179225690892776532016346590270070332318078159872250761970493993 (pp97)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 455.66 hours.
Scaled time: 540.87 units (timescale=1.187).
Factorization parameters were as follows:
name: KA_1_7_180_1
n: 1616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161
type: snfs
skew: 1.65
deg: 5
c5: 5
c0: -61
m: 2000000000000000000000000000000000000
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 5400001)
Primes: RFBsize:283146, AFBsize:283778, largePrimes:8451586 encountered
Relations: rels:8040019, finalFF:636287
Max relations in full relation-set: 28
Initial matrix: 566989 x 636287 with sparse part having weight 69987297.
Pruned matrix : 537909 x 540807 with weight 56556721.
Total sieving time: 440.13 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 14.43 hours.
Total square root time: 0.60 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,48,48,2.6,2.6,100000
total time: 455.66 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

62973900742348149557189177258187994490255989300104524867625908737986892061277856160604858019240179741681846328647169868279459751628573950901060090837490299559367680636993600789<176>

1369916107999177774949457836675762205868687<43>
2449342752020599495396447367308393102360236361<46>
18767959605684364672702062889014345723987887445632086122556366922692263187499179777077827<89>

Number: 17771
N=62973900742348149557189177258187994490255989300104524867625908737986892061277856160604858019240179741681846328647169868279459751628573950901060090837490299559367680636993600789
  ( 176 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=1369916107999177774949457836675762205868687 (pp43)
 r2=2449342752020599495396447367308393102360236361 (pp46)
 r3=18767959605684364672702062889014345723987887445632086122556366922692263187499179777077827 (pp89)
Version: Msieve-1.40
Total time: 162.55 hours.
Scaled time: 320.21 units (timescale=1.970).
Factorization parameters were as follows:
n: 62973900742348149557189177258187994490255989300104524867625908737986892061277856160604858019240179741681846328647169868279459751628573950901060090837490299559367680636993600789
m: 2000000000000000000000000000000000000
deg: 5
c5: 50
c0: -61
skew: 1.04
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3950000, 6590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1285026 x 1285252
Total sieving time: 160.08 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.03 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 162.55 hours.
 --------- CPU info (if available) ----------

466901015127559906406809609684075645256409985073054750368514035127135626711728911286249278966750789684052838555947453339223844248705573362508961654309834851708352234771713<171>

865454252302769523821262120413514764943777533037528703<54>
10592011405254735497638715963668563975094422287033349239473<59>
50933352425352990483859090846713507381499075370761085089327<59>

Number: 183
N=466901015127559906406809609684075645256409985073054750368514035127135626711728911286249278966750789684052838555947453339223844248705573362508961654309834851708352234771713
  ( 171 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=865454252302769523821262120413514764943777533037528703 (pp54)
 r2=10592011405254735497638715963668563975094422287033349239473 (pp59)
 r3=50933352425352990483859090846713507381499075370761085089327 (pp59)
Version: Msieve-1.40
Total time: 172.97 hours.
Scaled time: 334.36 units (timescale=1.933).
Factorization parameters were as follows:
n: 466901015127559906406809609684075645256409985073054750368514035127135626711728911286249278966750789684052838555947453339223844248705573362508961654309834851708352234771713
m: 2000000000000000000000000000000000000
deg: 5
c5: 500
c0: -61
skew: 0.66
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4100000, 6800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1328145 x 1328370
Total sieving time: 169.87 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 2.12 hours.
Time per square root: 0.74 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 172.97 hours.
 --------- CPU info (if available) ----------

31261468178037419080439738381146037608213622317301413573092222086622829055773799380120976241087330124779314392902518045667551868989596268484977<143>

3306358423978627805257389064398085822369547730491<49>
9454954414899663100614128402066155468047735130070141273812074682670407214593404087323570810947<94>

Number: 171-1
N=31261468178037419080439738381146037608213622317301413573092222086622829055773799380120976241087330124779314392902518045667551868989596268484977
  ( 143 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=3306358423978627805257389064398085822369547730491 (pp49)
 r2=9454954414899663100614128402066155468047735130070141273812074682670407214593404087323570810947 (pp94)
Version: Msieve-1.40
Total time: 196.93 hours.
Scaled time: 368.66 units (timescale=1.872).
Factorization parameters were as follows:
n: 31261468178037419080439738381146037608213622317301413573092222086622829055773799380120976241087330124779314392902518045667551868989596268484977
m: 2000000000000000000000000000000000000
deg: 5
c5: 5000
c0: -61
skew: 0.41
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4250000, 7370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1441333 x 1441558
Total sieving time: 194.08 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.43 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 196.93 hours.
 --------- CPU info (if available) ----------

3254600984524263466423074187838983050595001952233274160668612704020646680212056125050549258035000884267042528433762913393192299343630360433840901329912829096168955381951977603<175>

3915166379901174117146850512522031279127428887324486329099<58>
831280377056776699125672696659090108177362353866724263173674093298986320848399854987890490487646811801650745771445097<117>

Number: n
N=3254600984524263466423074187838983050595001952233274160668612704020646680212056125050549258035000884267042528433762913393192299343630360433840901329912829096168955381951977603
  ( 175 digits)
SNFS difficulty: 186 digits.
Divisors found:

Thu Feb  9 22:58:37 2012  prp58 factor: 3915166379901174117146850512522031279127428887324486329099
Thu Feb  9 22:58:37 2012  prp117 factor: 831280377056776699125672696659090108177362353866724263173674093298986320848399854987890490487646811801650745771445097
Thu Feb  9 22:58:37 2012  elapsed time 02:11:16 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_17771_185
n: 3254600984524263466423074187838983050595001952233274160668612704020646680212056125050549258035000884267042528433762913393192299343630360433840901329912829096168955381951977603
m: 10000000000000000000000000000000000000
#  c175, diff: 186.2
skew: 1.31
deg: 5
c5: 16
c0: -61
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5597212 hash collisions in 76265978 relations (73482396 unique)
Msieve: matrix is 1039674 x 1039922 (287.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

1616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161<187>

224187443841669121284171214256607419<36>
7208974724307126960936798016662298358054035706538253992990330169438604402959170146020867892824891898686186801010965926966443527148977721432936345060819<151>

Input number is 1616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161 (187 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3436893762
Step 1 took 100995ms
Step 2 took 36427ms
********** Factor found in step 2: 224187443841669121284171214256607419
Found probable prime factor of 36 digits: 224187443841669121284171214256607419
Probable prime cofactor 7208974724307126960936798016662298358054035706538253992990330169438604402959170146020867892824891898686186801010965926966443527148977721432936345060819 has 151 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

8235113225639401568032417197108980176836121768099332760783905344616398953389653727779514486358670554780594978582022881915405898895332303863<139>

9909948442446916533736903357587811669301317906365556003<55>
830994557990457843859395091142323435087546910426728215618282415381209980344723342621<84>

Sun Jan 29 04:54:37 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jan 29 04:54:37 2017  random seeds: d299ba0c 44626a0f
Sun Jan 29 04:54:37 2017  factoring 8235113225639401568032417197108980176836121768099332760783905344616398953389653727779514486358670554780594978582022881915405898895332303863 (139 digits)
Sun Jan 29 04:54:38 2017  no P-1/P+1/ECM available, skipping
Sun Jan 29 04:54:38 2017  commencing number field sieve (139-digit input)
Sun Jan 29 04:54:38 2017  R0: -20000000000000000000000000000000000000
Sun Jan 29 04:54:38 2017  R1: 1
Sun Jan 29 04:54:38 2017  A0: -61
Sun Jan 29 04:54:38 2017  A1: 0
Sun Jan 29 04:54:38 2017  A2: 0
Sun Jan 29 04:54:38 2017  A3: 0
Sun Jan 29 04:54:38 2017  A4: 0
Sun Jan 29 04:54:38 2017  A5: 500
Sun Jan 29 04:54:38 2017  skew 0.66, size 3.208e-13, alpha -0.591, combined = 4.142e-11 rroots = 1
Sun Jan 29 04:54:38 2017  
Sun Jan 29 04:54:38 2017  commencing linear algebra
Sun Jan 29 04:54:38 2017  read 2091857 cycles
Sun Jan 29 04:54:40 2017  cycles contain 6998954 unique relations
Sun Jan 29 04:55:14 2017  read 6998954 relations
Sun Jan 29 04:55:18 2017  using 20 quadratic characters above 4294917295
Sun Jan 29 04:55:45 2017  building initial matrix
Sun Jan 29 04:56:25 2017  memory use: 857.8 MB
Sun Jan 29 04:56:26 2017  read 2091857 cycles
Sun Jan 29 04:56:26 2017  matrix is 2091656 x 2091857 (627.8 MB) with weight 186382539 (89.10/col)
Sun Jan 29 04:56:26 2017  sparse part has weight 141570331 (67.68/col)
Sun Jan 29 04:56:41 2017  filtering completed in 3 passes
Sun Jan 29 04:56:41 2017  matrix is 2088364 x 2088564 (627.5 MB) with weight 186238083 (89.17/col)
Sun Jan 29 04:56:41 2017  sparse part has weight 141510241 (67.75/col)
Sun Jan 29 04:56:45 2017  matrix starts at (0, 0)
Sun Jan 29 04:56:45 2017  matrix is 2088364 x 2088564 (627.5 MB) with weight 186238083 (89.17/col)
Sun Jan 29 04:56:45 2017  sparse part has weight 141510241 (67.75/col)
Sun Jan 29 04:56:45 2017  saving the first 48 matrix rows for later
Sun Jan 29 04:56:46 2017  matrix includes 64 packed rows
Sun Jan 29 04:56:46 2017  matrix is 2088316 x 2088564 (596.2 MB) with weight 148061117 (70.89/col)
Sun Jan 29 04:56:46 2017  sparse part has weight 135396979 (64.83/col)
Sun Jan 29 04:56:46 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Jan 29 04:56:51 2017  commencing Lanczos iteration (6 threads)
Sun Jan 29 04:56:51 2017  memory use: 478.4 MB
Sun Jan 29 04:56:56 2017  linear algebra at 0.1%, ETA 1h54m
Sun Jan 29 04:56:57 2017  checkpointing every 1220000 dimensions
Sun Jan 29 06:46:45 2017  lanczos halted after 33024 iterations (dim = 2088315)
Sun Jan 29 06:46:46 2017  recovered 39 nontrivial dependencies
Sun Jan 29 06:46:46 2017  BLanczosTime: 6728
Sun Jan 29 06:46:46 2017  elapsed time 01:52:09
Sun Jan 29 06:46:46 2017 -> Running square root step ...
Sun Jan 29 06:46:46 2017 -> ./msieve -s 17771_188/17771_188.dat -l 17771_188/17771_188.log -i 17771_188/17771_188.ini -nf 17771_188/17771_188.fb -t 6 -nc3
Sun Jan 29 06:46:46 2017  
Sun Jan 29 06:46:46 2017  
Sun Jan 29 06:46:46 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jan 29 06:46:46 2017  random seeds: 19413ee6 1e0c4b61
Sun Jan 29 06:46:46 2017  factoring 8235113225639401568032417197108980176836121768099332760783905344616398953389653727779514486358670554780594978582022881915405898895332303863 (139 digits)
Sun Jan 29 06:46:47 2017  no P-1/P+1/ECM available, skipping
Sun Jan 29 06:46:47 2017  commencing number field sieve (139-digit input)
Sun Jan 29 06:46:47 2017  R0: -20000000000000000000000000000000000000
Sun Jan 29 06:46:47 2017  R1: 1
Sun Jan 29 06:46:47 2017  A0: -61
Sun Jan 29 06:46:47 2017  A1: 0
Sun Jan 29 06:46:47 2017  A2: 0
Sun Jan 29 06:46:47 2017  A3: 0
Sun Jan 29 06:46:47 2017  A4: 0
Sun Jan 29 06:46:47 2017  A5: 500
Sun Jan 29 06:46:47 2017  skew 0.66, size 3.208e-13, alpha -0.591, combined = 4.142e-11 rroots = 1
Sun Jan 29 06:46:47 2017  
Sun Jan 29 06:46:47 2017  commencing square root phase
Sun Jan 29 06:46:47 2017  reading relations for dependency 1
Sun Jan 29 06:46:47 2017  read 1044085 cycles
Sun Jan 29 06:46:48 2017  cycles contain 3496606 unique relations
Sun Jan 29 06:47:05 2017  read 3496606 relations
Sun Jan 29 06:47:15 2017  multiplying 3496606 relations
Sun Jan 29 06:48:56 2017  multiply complete, coefficients have about 109.11 million bits
Sun Jan 29 06:48:56 2017  initial square root is modulo 67921571
Sun Jan 29 06:51:10 2017  sqrtTime: 263
Sun Jan 29 06:51:10 2017  p55 factor: 9909948442446916533736903357587811669301317906365556003
Sun Jan 29 06:51:10 2017  p84 factor: 830994557990457843859395091142323435087546910426728215618282415381209980344723342621
Sun Jan 29 06:51:10 2017  elapsed time 00:04:24

GGNFS/Msieve v1.53

64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

131171072439709236017541566171110987272288625359372833448549849838030010503222808824551261610337811526472955528084539952751<123>

34094621548106215029203735244490780734764543703560567350309<59>
3847265829146448766592546059775321362358930468529413258124622339<64>

Number: 17771_190
N=131171072439709236017541566171110987272288625359372833448549849838030010503222808824551261610337811526472955528084539952751
  ( 123 digits)
Divisors found:
 r1=34094621548106215029203735244490780734764543703560567350309
 r2=3847265829146448766592546059775321362358930468529413258124622339
Version: 
Total time: 66.45 hours.
Scaled time: 171.78 units (timescale=2.585).
Factorization parameters were as follows:
name: 17771_190
n: 131171072439709236017541566171110987272288625359372833448549849838030010503222808824551261610337811526472955528084539952751
skew: 47294.61
# norm 4.29e+016
c5: 61560
c4: -17874778431
c3: -663111392301151
c2: -9801637011659482709
c1: 576431364686994339439656
c0: 1878564961861044229586185155
# alpha -5.56
Y1: 20572302513413
Y0: -292219818845037446106556
# Murphy_E 2.11e-010
# M 45786454644921295568793144589561397825475712419937552306625156200432901874416142023443502841645551053254909538820787308731
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 5440001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 752592 x 752840
Polynomial selection time: 8.04 hours.
Total sieving time: 58.42 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 66.45 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

Q6600 2.4 ghz, 4 gb ram, Windows vista

49770148641686319184739962773846900103858682354859229670716856981500840679006298869231046416057195841327607477688256008128891462231075987018068286850829826389564341189939<170>

182197177581819462542690317992209111844276612569966165090974274413<66>
273166408515499590850054757227010968632391841299557511530332714634311025442484398225061652897909130415903<105>

p66 factor: 182197177581819462542690317992209111844276612569966165090974274413
p105 factor: 273166408515499590850054757227010968632391841299557511530332714634311025442484398225061652897909130415903


Msieve v. 1.54 (SVN 1034)
random seeds: 15b82b9b 3f332548
factoring 49770148641686319184739962773846900103858682354859229670716856981500840679006298869231046416057195841327607477688256008128891462231075987018068286850829826389564341189939 (170 digits)
searching for 15-digit factors
commencing number field sieve (170-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: -61
A1: 0
A2: 0
A3: 0
A4: 0
A5: 500
skew 1.00, size 1.489e-13, alpha -0.591, combined = 2.596e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2400524 hash collisions in 37553773 relations
added 727949 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38281722 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1247.5 MB
keeping 40393287 ideals with weight <= 200, target excess is 205160
commencing in-memory singleton removal
begin with 38281722 relations and 40393287 unique ideals
reduce to 15124112 relations and 13344318 ideals in 14 passes
max relations containing the same ideal: 111
removing 2064422 relations and 1664422 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13059690 relations and 13344318 unique ideals
reduce to 12825430 relations and 11437572 ideals in 9 passes
max relations containing the same ideal: 99
removing 1649768 relations and 1249768 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11175662 relations and 11437572 unique ideals
reduce to 10999848 relations and 10006398 ideals in 8 passes
max relations containing the same ideal: 90
removing 1548057 relations and 1148057 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9451791 relations and 10006398 unique ideals
reduce to 9266132 relations and 8666319 ideals in 9 passes
max relations containing the same ideal: 84
removing 1408536 relations and 1046709 ideals in 361827 cliques
commencing in-memory singleton removal
begin with 7857596 relations and 8666319 unique ideals
reduce to 7668183 relations and 7423398 ideals in 8 passes
max relations containing the same ideal: 70
relations with 0 large ideals: 4353
relations with 1 large ideals: 12495
relations with 2 large ideals: 101527
relations with 3 large ideals: 446137
relations with 4 large ideals: 1180627
relations with 5 large ideals: 1944035
relations with 6 large ideals: 2083655
relations with 7+ large ideals: 1895354
commencing 2-way merge
reduce to 4724197 relation sets and 4479412 unique ideals
commencing full merge
memory use: 511.4 MB
found 2184224 cycles, need 2155612
weight of 2155612 cycles is about 194072534 (90.03/cycle)
distribution of cycle lengths:
1 relations: 176577
2 relations: 177095
3 relations: 187986
4 relations: 184342
5 relations: 182472
6 relations: 169001
7 relations: 160215
8 relations: 145118
9 relations: 130375
10+ relations: 642431
heaviest cycle: 26 relations
commencing cycle optimization
start with 15940920 relations
pruned 541725 relations
memory use: 473.0 MB
distribution of cycle lengths:
1 relations: 176577
2 relations: 181411
3 relations: 195304
4 relations: 190495
5 relations: 189179
6 relations: 175131
7 relations: 165180
8 relations: 148966
9 relations: 133218
10+ relations: 600151
heaviest cycle: 26 relations
RelProcTime: 961
elapsed time 00:16:02


Msieve v. 1.54 (SVN 1034)
random seeds: 7fcb2394 1cba68be
factoring 49770148641686319184739962773846900103858682354859229670716856981500840679006298869231046416057195841327607477688256008128891462231075987018068286850829826389564341189939 (170 digits)
searching for 15-digit factors
commencing number field sieve (170-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: -61
A1: 0
A2: 0
A3: 0
A4: 0
A5: 500
skew 1.00, size 1.489e-13, alpha -0.591, combined = 2.596e-11 rroots = 1

commencing linear algebra
read 2155612 cycles
cycles contain 7446686 unique relations
read 7446686 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 919.6 MB
read 2155612 cycles
matrix is 2155432 x 2155612 (791.2 MB) with weight 233942186 (108.53/col)
sparse part has weight 183695718 (85.22/col)
filtering completed in 2 passes
matrix is 2154397 x 2154577 (791.1 MB) with weight 233899325 (108.56/col)
sparse part has weight 183677890 (85.25/col)
matrix starts at (0, 0)
matrix is 2154397 x 2154577 (791.1 MB) with weight 233899325 (108.56/col)
sparse part has weight 183677890 (85.25/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2154349 x 2154577 (754.3 MB) with weight 192055458 (89.14/col)
sparse part has weight 176194560 (81.78/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 714.0 MB
linear algebra at 0.1%, ETA 1h58m
checkpointing every 1050000 dimensions
lanczos halted after 34071 iterations (dim = 2154347)
recovered 38 nontrivial dependencies
BLanczosTime: 7725
elapsed time 02:08:46


Msieve v. 1.54 (SVN 1034)
random seeds: e61c66af 9c27ba79
factoring 49770148641686319184739962773846900103858682354859229670716856981500840679006298869231046416057195841327607477688256008128891462231075987018068286850829826389564341189939 (170 digits)
searching for 15-digit factors
commencing number field sieve (170-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: -61
A1: 0
A2: 0
A3: 0
A4: 0
A5: 500
skew 1.00, size 1.489e-13, alpha -0.591, combined = 2.596e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1078068 cycles
cycles contain 3725400 unique relations
read 3725400 relations
multiplying 3725400 relations
multiply complete, coefficients have about 114.78 million bits
initial square root is modulo 173149891
sqrtTime: 220
p66 factor: 182197177581819462542690317992209111844276612569966165090974274413
p105 factor: 273166408515499590850054757227010968632391841299557511530332714634311025442484398225061652897909130415903
elapsed time 00:03:41

CADO-NFS/Msieve

660515639784269139274191586016667384090431712832196802807335071795657793623873206679502394412986894452089390798326230717463239955688547994100746913448581117453005354948791<171>

32274239167570545719314458174132287758095505562807204328797<59>
20465723029280930921941941415580075339941244986243215432695183418798102830116376992302603147609026367728264999203<113>

660515639784269139274191586016667384090431712832196802807335071795657793623873206679502394412986894452089390798326230717463239955688547994100746913448581117453005354948791=32274239167570545719314458174132287758095505562807204328797*20465723029280930921941941415580075339941244986243215432695183418798102830116376992302603147609026367728264999203

cado polynomial
n: 660515639784269139274191586016667384090431712832196802807335071795657793623873206679502394412986894452089390798326230717463239955688547994100746913448581117453005354948791
skew: 2.07
type: snfs
c0: -305
c5: 8
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^5-305
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12900000
tasks.lim1 = 12900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 32274239167570545719314458174132287758095505562807204328797 20465723029280930921941941415580075339941244986243215432695183418798102830116376992302603147609026367728264999203
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.57/2.3272
Info:Generate Free Relations: Total cpu/real time for freerel: 98.94/25.3588
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28193847
Info:Lattice Sieving: Average J: 1893.48 for 2771133 special-q, max bucket fill -bkmult 1.0,1s:1.133640
Info:Lattice Sieving: Total time: 773047s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.42/138.226
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 137.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 476.87/478.77
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 419.20000000000005s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 406.99/481.386
Info:Filtering - Merging: Merged matrix has 2395853 rows and total weight 409774837 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 332.45/148.664
Info:Filtering - Merging: Total cpu/real time for replay: 95.07/86.9648
Info:Linear Algebra: Total cpu/real time for bwc: 100390/25667.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 16342.9, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75264 iterations)
Info:Linear Algebra: Lingen CPU time 484.16, WCT time 140.48
Info:Linear Algebra: Mksol: WCT time 8946.97, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 83.39/35.1438
Info:Square Root: Total cpu/real time for sqrt: 1094.36/340.492
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.53885e+06/62259.6
Info:root: Cleaning up computation data in /tmp/cado.f5vmfwc5
32274239167570545719314458174132287758095505562807204328797 20465723029280930921941941415580075339941244986243215432695183418798102830116376992302603147609026367728264999203

cado-nfs-3.0.0

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

855501657204398852010596437605658596438126829188950964322403450778500597011766164714427433078292772477497070906552309045996200969261961579813626880491270859319179<162>

1129246659228815792118485211521871666013521780068314315671236829037<67>
757586175006829195567622619480692476617831723242764894159772963047314978250599260956429500510167<96>

855501657204398852010596437605658596438126829188950964322403450778500597011766164714427433078292772477497070906552309045996200969261961579813626880491270859319179=1129246659228815792118485211521871666013521780068314315671236829037*757586175006829195567622619480692476617831723242764894159772963047314978250599260956429500510167

cado polynomial
n: 855501657204398852010596437605658596438126829188950964322403450778500597011766164714427433078292772477497070906552309045996200969261961579813626880491270859319179
skew: 0.66
type: snfs
c0: -61
c5: 500
Y0: 2000000000000000000000000000000000000000
Y1: -1
# f(x) = 500*x^5-61
# g(x) = -x+2000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14600000
tasks.lim1 = 14600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 757586175006829195567622619480692476617831723242764894159772963047314978250599260956429500510167 1129246659228815792118485211521871666013521780068314315671236829037
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.31/2.47817
Info:Generate Free Relations: Total cpu/real time for freerel: 100.34/25.7548
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30346003
Info:Lattice Sieving: Average J: 1893.46 for 4196844 special-q, max bucket fill -bkmult 1.0,1s:1.082990
Info:Lattice Sieving: Total time: 1.11932e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.32/150.023
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 149.40000000000003s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 499.88/499.052
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 439.8999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 411.63/491.386
Info:Filtering - Merging: Merged matrix has 2924224 rows and total weight 499824026 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 415.13/183.1
Info:Filtering - Merging: Total cpu/real time for replay: 114.62/101.164
Info:Linear Algebra: Total cpu/real time for bwc: 155282/39920.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 25671.72, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (91648 iterations)
Info:Linear Algebra: Lingen CPU time 612.38, WCT time 176.74
Info:Linear Algebra: Mksol: WCT time 13749.35, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46080 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 101.19/43.4111
Info:Square Root: Total cpu/real time for sqrt: 839.65/266.698
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.23049e+06/602291
Info:root: Cleaning up computation data in /tmp/cado.qum6a1zs
757586175006829195567622619480692476617831723242764894159772963047314978250599260956429500510167 1129246659228815792118485211521871666013521780068314315671236829037

cado-nfs-3.0.0

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

1402592277365203790716508168149056778679510686605256147155668211664647199431432362853413590844722000755030625584545187317660667448131954776025811452609388908527780223061485801392989411<184>

774084065902289048718087399845195164903118275130190680221774746273506046965659<78>
1811937926574308234353786750203646785787624484509080432572793765971884896831505727576451727981291770736729<106>

Number: n
N=1402592277365203790716508168149056778679510686605256147155668211664647199431432362853413590844722000755030625584545187317660667448131954776025811452609388908527780223061485801392989411  ( 184 digits)
SNFS difficulty: 203 digits.
Divisors found:

Tue Sep 14 19:24:01 2021  p78 factor: 774084065902289048718087399845195164903118275130190680221774746273506046965659
Tue Sep 14 19:24:01 2021  p106 factor: 1811937926574308234353786750203646785787624484509080432572793765971884896831505727576451727981291770736729
Tue Sep 14 19:24:01 2021  elapsed time 01:40:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 16x10^202-61 = 17(201)1
#
n: 1402592277365203790716508168149056778679510686605256147155668211664647199431432362853413590844722000755030625584545187317660667448131954776025811452609388908527780223061485801392989411
m: 20000000000000000000000000000000000000000
deg: 5
c5: 50
c0: -61
skew: 1.04
# Murphy_E = 1.285e-11
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10702062 hash collisions in 70795307 relations (62981445 unique)
Msieve: matrix is 2062645 x 2062877 (703.7 MB)

Sieving start time : 2021/09/14 04:42:28
Sieving end time  : 2021/09/14 17:39:23

Total sieving time: 12hrs 56min 55secs.

Total relation processing time: 1hrs 20min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 14sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118839] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798236)
[    0.152049] smpboot: Total of 16 processors activated (102385.88 BogoMIPS)

5387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387<202>

91665371598605909009152456397<29>

58770343623276365051701043350027004518200626964137470076070836828570454371967585994649096276964859765755465444625233759214408845503984098397332260968196397777431561428879671<173>

Input number is 5387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387 (202 digits)
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=1855497545
Step 1 took 55474ms
Step 2 took 22292ms
********** Factor found in step 2: 91665371598605909009152456397
Found probable prime factor of 29 digits: 91665371598605909009152456397
Composite cofactor 58770343623276365051701043350027004518200626964137470076070836828570454371967585994649096276964859765755465444625233759214408845503984098397332260968196397777431561428879671 has 173 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

58770343623276365051701043350027004518200626964137470076070836828570454371967585994649096276964859765755465444625233759214408845503984098397332260968196397777431561428879671<173>

657215411796458624805543553673069067129523602011<48>
89423258445250364959512839162353922378060729126520876969850895801103432091515498759383603001376217764662225741542054792287061<125>

Number: n
N=58770343623276365051701043350027004518200626964137470076070836828570454371967585994649096276964859765755465444625233759214408845503984098397332260968196397777431561428879671  ( 173 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sun Dec 19 17:07:29 2021  p48 factor: 657215411796458624805543553673069067129523602011
Sun Dec 19 17:07:29 2021  p125 factor: 89423258445250364959512839162353922378060729126520876969850895801103432091515498759383603001376217764662225741542054792287061
Sun Dec 19 17:07:29 2021  elapsed time 01:56:40 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.257).
Factorization parameters were as follows:
#
# N = 16x10^203-61 = 17(202)1
#
n: 58770343623276365051701043350027004518200626964137470076070836828570454371967585994649096276964859765755465444625233759214408845503984098397332260968196397777431561428879671
m: 20000000000000000000000000000000000000000
deg: 5
c5: 500
c0: -61
skew: 0.66
# Murphy_E = 1.111e-11
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9863472 hash collisions in 66565802 relations (59350243 unique)
Msieve: matrix is 2109355 x 2109583 (727.0 MB)

Sieving start time : 2021/12/19 02:59:52
Sieving end time  : 2021/12/19 15:09:12

Total sieving time: 12hrs 9min 20secs.

Total relation processing time: 1hrs 26min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 8sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

91199465939262957014453301415352275982936112553092972842134854009173370399862056645203863554210681162010186392008374136296116283472153026753275014021217505791515685112718096980495275936023<188>

2923254199368776908071747957545298023251<40>
31197925229682662506627037226765024800636356485294267263733275741215700091433054976387888574771008007185826047920561881157023843453168730284826713773<149>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1411629582
Step 1 took 99532ms
Step 2 took 71979ms
********** Factor found in step 2: 2923254199368776908071747957545298023251
Found probable prime factor of 40 digits: 2923254199368776908071747957545298023251
Probable prime cofactor 31197925229682662506627037226765024800636356485294267263733275741215700091433054976387888574771008007185826047920561881157023843453168730284826713773 has 149 digits

87987615826722639181966605842672540759956721552603309970918013813600010643525194570149036476089759849219145666408908639016380666652749017418034979236948924900785215056677944879580413<182>

13283420049020070909345613997926745744203<41>

6623867611053492187554612084077312104416006785274186918592149550963530812981614256597865444759607828355815584070722272210528636941196484314071<142>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3273968639
Step 1 took 116333ms
Step 2 took 76464ms
********** Factor found in step 2: 13283420049020070909345613997926745744203
Found probable prime factor of 41 digits: 13283420049020070909345613997926745744203
Composite cofactor 6623867611053492187554612084077312104416006785274186918592149550963530812981614256597865444759607828355815584070722272210528636941196484314071 has 142 digits

6623867611053492187554612084077312104416006785274186918592149550963530812981614256597865444759607828355815584070722272210528636941196484314071<142>

152134542640701443140077305268634634748463981643<48>
43539537412599222428072270532313725395154705616540640071425626626892219931349209029998354312997<95>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1673999548
Step 1 took 34761ms
Step 2 took 13864ms
********** Factor found in step 2: 152134542640701443140077305268634634748463981643
Found probable prime factor of 48 digits: 152134542640701443140077305268634634748463981643
Probable prime cofactor 43539537412599222428072270532313725395154705616540640071425626626892219931349209029998354312997 has 95 digits

GMP-ECM 6.3

4288453075680583322769658224544657990950578910007776790728567996773953749389793209835386849061327678075080352705736641261002394637763123517550860048422551458620797440047939900122355786406814747<193>

1003933832175446107525169757096739021938391257612683<52>
4271649124910793036299191011536063321719783582521219936677213986621965351215041950268125420012659136463054110299409136480748455396802412108209<142>

Number: n
N=4288453075680583322769658224544657990950578910007776790728567996773953749389793209835386849061327678075080352705736641261002394637763123517550860048422551458620797440047939900122355786406814747
  ( 193 digits)
SNFS difficulty: 209 digits.
Divisors found:

Fri Jul  9 13:55:19 2021  p52 factor: 1003933832175446107525169757096739021938391257612683
Fri Jul  9 13:55:19 2021  p142 factor: 4271649124910793036299191011536063321719783582521219936677213986621965351215041950268125420012659136463054110299409136480748455396802412108209
Fri Jul  9 13:55:19 2021  elapsed time 02:38:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 16x10^208-61 = 17(207)1
#
n: 4288453075680583322769658224544657990950578910007776790728567996773953749389793209835386849061327678075080352705736641261002394637763123517550860048422551458620797440047939900122355786406814747
m: 200000000000000000000000000000000000000000
deg: 5
c5: 500
c0: -61
skew: 0.66
# Murphy_E = 6.836e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 44900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8690044 hash collisions in 60237892 relations (53823132 unique)
Msieve: matrix is 2565486 x 2565712 (897.3 MB)

Sieving start time : 2021/07/08 19:11:51
Sieving end time  : 2021/07/09 11:15:11

Total sieving time: 16hrs 3min 20secs.

Total relation processing time: 2hrs 19min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 30sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

2678546452081064454051225756261582113317307202629579230131299563523336108263343324603234542515991576933851177009270183702843312728747375122225988217259037252427088362031595497<175>

7443511842620385575871994496973309250519956120669500575178633812312763<70>
359849827435502427676558768346084027097333170160644261015886505840759115999500865825895193533174954031019<105>

Wed Jul 12 13:14:06 2023  Msieve v. 1.53 (SVN unknown)
Wed Jul 12 13:14:06 2023  random seeds: af5c9be8 b4ad5b85
Wed Jul 12 13:14:06 2023  factoring 2678546452081064454051225756261582113317307202629579230131299563523336108263343324603234542515991576933851177009270183702843312728747375122225988217259037252427088362031595497 (175 digits)
Wed Jul 12 13:14:07 2023  searching for 15-digit factors
Wed Jul 12 13:14:07 2023  commencing number field sieve (175-digit input)
Wed Jul 12 13:14:07 2023  R0: -1000000000000000000000000000000000000000000
Wed Jul 12 13:14:07 2023  R1: 1
Wed Jul 12 13:14:07 2023  A0: -305
Wed Jul 12 13:14:07 2023  A1: 0
Wed Jul 12 13:14:07 2023  A2: 0
Wed Jul 12 13:14:07 2023  A3: 0
Wed Jul 12 13:14:07 2023  A4: 0
Wed Jul 12 13:14:07 2023  A5: 8
Wed Jul 12 13:14:07 2023  skew 2.07, size 1.422e-14, alpha -0.226, combined = 5.741e-12 rroots = 1
Wed Jul 12 13:14:07 2023  
Wed Jul 12 13:14:07 2023  commencing square root phase
Wed Jul 12 13:14:07 2023  reading relations for dependency 1
Wed Jul 12 13:14:08 2023  read 2236518 cycles
Wed Jul 12 13:14:11 2023  cycles contain 7415332 unique relations
Wed Jul 12 13:15:13 2023  read 7415332 relations
Wed Jul 12 13:15:46 2023  multiplying 7415332 relations
Wed Jul 12 13:18:26 2023  multiply complete, coefficients have about 204.60 million bits
Wed Jul 12 13:18:27 2023  initial square root is modulo 22014191
Wed Jul 12 13:21:53 2023  sqrtTime: 466
Wed Jul 12 13:21:53 2023  p70 factor: 7443511842620385575871994496973309250519956120669500575178633812312763
Wed Jul 12 13:21:53 2023  p105 factor: 359849827435502427676558768346084027097333170160644261015886505840759115999500865825895193533174954031019
Wed Jul 12 13:21:53 2023  elapsed time 00:07:47

18160743257968542497498161945925583293582042729670566183879188236617129256810547762687279554248596135573240889074193941052472459596557021410997855885245751482132544729194788086311670988697618637827449<200>

895070328816061991406958700185430392267435539467558402101684982280013<69>
20289738887881956215987981246561202495077532498054614792237735393679843043561171554686146229716395359873927807414661975650076260573<131>

Number: n
N=18160743257968542497498161945925583293582042729670566183879188236617129256810547762687279554248596135573240889074193941052472459596557021410997855885245751482132544729194788086311670988697618637827449  ( 200 digits)
SNFS difficulty: 213 digits.
Divisors found:

Fri Oct 16 04:18:56 2020  prp69 factor: 895070328816061991406958700185430392267435539467558402101684982280013
Fri Oct 16 04:18:56 2020  prp131 factor: 20289738887881956215987981246561202495077532498054614792237735393679843043561171554686146229716395359873927807414661975650076260573
Fri Oct 16 04:18:56 2020  elapsed time 07:44:14 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.116).
Factorization parameters were as follows:
#
# N = 16x10^212-61 = 17(211)1
#
n: 18160743257968542497498161945925583293582042729670566183879188236617129256810547762687279554248596135573240889074193941052472459596557021410997855885245751482132544729194788086311670988697618637827449
m: 200000000000000000000000000000000000
deg: 6
c6: 25
c0: -61
skew: 1.16
# Murphy_E = 4.439e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 45300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9003120 hash collisions in 58463126 relations (50888676 unique)
Msieve: matrix is 3601002 x 3601228 (1017.7 MB)

Sieving start time: 2020/10/15 02:29:50
Sieving end time  : 2020/10/15 20:33:49

Total sieving time: 18hrs 3min 59secs.

Total relation processing time: 7hrs 22min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 17sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.113540] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16228504K/16703460K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 474956K reserved, 0K cma-reserved)
[    0.148670] x86/mm: Memory block size: 128MB
[    0.000008] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.64 BogoMIPS (lpj=11977280)
[    0.146244] smpboot: Total of 16 processors activated (95818.24 BogoMIPS)

96893221291107041819635955418252047685017242860357064455188519846900655958069143740499107298069337037398573815334809131767669806639991831124486350510025774747017424195890486607<176>

15343317696192422017522869439279665157<38>

6315011082326212861759378001460381655744123914330053236853058428366793582916494518062439711742158493507181037630191574610156925315769334851<139>

Input number is 96893221291107041819635955418252047685017242860357064455188519846900655958069143740499107298069337037398573815334809131767669806639991831124486350510025774747017424195890486607 (176 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1376874633
Step 1 took 86705ms
Step 2 took 34040ms
********** Factor found in step 2: 15343317696192422017522869439279665157
Found probable prime factor of 38 digits: 15343317696192422017522869439279665157
Composite cofactor 6315011082326212861759378001460381655744123914330053236853058428366793582916494518062439711742158493507181037630191574610156925315769334851 has 139 digits

GMP-ECM 6.1.2

Pentium 4 2.26GHz, Windows XP

6315011082326212861759378001460381655744123914330053236853058428366793582916494518062439711742158493507181037630191574610156925315769334851<139>

488382430326013611322394826953489183663048852873377999567794432277<66>
12930463280816031468431249838165445283268929093062473082670903265716598263<74>

Sieving took ~12 cpu days @ Q6700

Tue Feb 16 00:44:32 2010  Msieve v. 1.44
Tue Feb 16 00:44:32 2010  random seeds: 5a0e20a7 908c5673
Tue Feb 16 00:44:32 2010  factoring 6315011082326212861759378001460381655744123914330053236853058428366793582916494518062439711742158493507181037630191574610156925315769334851 (139 digits)
Tue Feb 16 00:44:33 2010  searching for 15-digit factors
Tue Feb 16 00:44:33 2010  commencing number field sieve (139-digit input)
Tue Feb 16 00:44:33 2010  R0: -545548548001369938857510366
Tue Feb 16 00:44:33 2010  R1:  4181495085807679
Tue Feb 16 00:44:33 2010  A0: -2661762105578500314980441754934185
Tue Feb 16 00:44:33 2010  A1:  35406203595953285477099322953
Tue Feb 16 00:44:33 2010  A2:  32113352736010501838393
Tue Feb 16 00:44:33 2010  A3: -175753517887987380
Tue Feb 16 00:44:33 2010  A4: -79686497461
Tue Feb 16 00:44:33 2010  A5:  130680
Tue Feb 16 00:44:33 2010  skew 685063.28, size 1.762990e-13, alpha -5.985333, combined = 2.239904e-11
Tue Feb 16 00:44:33 2010
Tue Feb 16 00:44:33 2010  commencing relation filtering
Tue Feb 16 00:44:33 2010  estimated available RAM is 8010.2 MB
Tue Feb 16 00:44:33 2010  commencing duplicate removal, pass 1
Tue Feb 16 01:01:23 2010  error -15 reading relation 149225898
Tue Feb 16 01:01:33 2010  error -15 reading relation 150786145
Tue Feb 16 01:01:44 2010  error -15 reading relation 152500569
Tue Feb 16 01:01:56 2010  error -15 reading relation 154290813
Tue Feb 16 01:02:25 2010  error -15 reading relation 158722675
Tue Feb 16 01:03:00 2010  error -15 reading relation 163908234
Tue Feb 16 01:03:23 2010  found 13572847 hash collisions in 167186599 relations
Tue Feb 16 01:04:19 2010  added 13 free relations
Tue Feb 16 01:04:19 2010  commencing duplicate removal, pass 2
Tue Feb 16 01:08:56 2010  found 8750330 duplicates and 158436282 unique relations
Tue Feb 16 01:08:56 2010  memory use: 554.4 MB
Tue Feb 16 01:08:56 2010  reading ideals above 39256064
Tue Feb 16 01:08:56 2010  commencing singleton removal, initial pass
Tue Feb 16 01:30:43 2010  memory use: 5512.0 MB
Tue Feb 16 01:30:43 2010  reading all ideals from disk
Tue Feb 16 01:31:34 2010  memory use: 2790.7 MB
Tue Feb 16 01:31:51 2010  commencing in-memory singleton removal
Tue Feb 16 01:32:07 2010  begin with 158436282 relations and 180145939 unique ideals
Tue Feb 16 01:33:58 2010  reduce to 36782333 relations and 26446451 ideals in 19 passes
Tue Feb 16 01:33:58 2010  max relations containing the same ideal: 21
Tue Feb 16 01:34:03 2010  reading ideals above 720000
Tue Feb 16 01:34:03 2010  commencing singleton removal, initial pass
Tue Feb 16 01:41:19 2010  memory use: 753.0 MB
Tue Feb 16 01:41:19 2010  reading all ideals from disk
Tue Feb 16 01:41:34 2010  memory use: 1210.1 MB
Tue Feb 16 01:41:41 2010  keeping 31009236 ideals with weight <= 200, target excess is 216075
Tue Feb 16 01:41:49 2010  commencing in-memory singleton removal
Tue Feb 16 01:41:55 2010  begin with 36782335 relations and 31009236 unique ideals
Tue Feb 16 01:43:18 2010  reduce to 36746579 relations and 30973469 ideals in 13 passes
Tue Feb 16 01:43:18 2010  max relations containing the same ideal: 200
Tue Feb 16 01:43:47 2010  removing 3978105 relations and 3578106 ideals in 400000 cliques
Tue Feb 16 01:43:49 2010  commencing in-memory singleton removal
Tue Feb 16 01:43:55 2010  begin with 32768474 relations and 30973469 unique ideals
Tue Feb 16 01:44:51 2010  reduce to 32525664 relations and 27149016 ideals in 10 passes
Tue Feb 16 01:44:51 2010  max relations containing the same ideal: 192
Tue Feb 16 01:45:17 2010  removing 2799564 relations and 2399564 ideals in 400000 cliques
Tue Feb 16 01:45:18 2010  commencing in-memory singleton removal
Tue Feb 16 01:45:23 2010  begin with 29726100 relations and 27149016 unique ideals
Tue Feb 16 01:46:08 2010  reduce to 29585769 relations and 24607353 ideals in 9 passes
Tue Feb 16 01:46:08 2010  max relations containing the same ideal: 180
Tue Feb 16 01:46:32 2010  removing 2410546 relations and 2010546 ideals in 400000 cliques
Tue Feb 16 01:46:33 2010  commencing in-memory singleton removal
Tue Feb 16 01:46:37 2010  begin with 27175223 relations and 24607353 unique ideals
Tue Feb 16 01:47:14 2010  reduce to 27059794 relations and 22479908 ideals in 8 passes
Tue Feb 16 01:47:14 2010  max relations containing the same ideal: 171
Tue Feb 16 01:47:35 2010  removing 2192760 relations and 1792760 ideals in 400000 cliques
Tue Feb 16 01:47:36 2010  commencing in-memory singleton removal
Tue Feb 16 01:47:40 2010  begin with 24867034 relations and 22479908 unique ideals
Tue Feb 16 01:48:13 2010  reduce to 24762202 relations and 20580935 ideals in 8 passes
Tue Feb 16 01:48:13 2010  max relations containing the same ideal: 162
Tue Feb 16 01:48:33 2010  removing 2043109 relations and 1643109 ideals in 400000 cliques
Tue Feb 16 01:48:34 2010  commencing in-memory singleton removal
Tue Feb 16 01:48:37 2010  begin with 22719093 relations and 20580935 unique ideals
Tue Feb 16 01:49:04 2010  reduce to 22619933 relations and 18837343 ideals in 7 passes
Tue Feb 16 01:49:04 2010  max relations containing the same ideal: 154
Tue Feb 16 01:49:21 2010  removing 1929577 relations and 1529577 ideals in 400000 cliques
Tue Feb 16 01:49:22 2010  commencing in-memory singleton removal
Tue Feb 16 01:49:26 2010  begin with 20690356 relations and 18837343 unique ideals
Tue Feb 16 01:49:49 2010  reduce to 20590728 relations and 17206609 ideals in 7 passes
Tue Feb 16 01:49:49 2010  max relations containing the same ideal: 143
Tue Feb 16 01:50:05 2010  removing 1845429 relations and 1445429 ideals in 400000 cliques
Tue Feb 16 01:50:06 2010  commencing in-memory singleton removal
Tue Feb 16 01:50:09 2010  begin with 18745299 relations and 17206609 unique ideals
Tue Feb 16 01:50:34 2010  reduce to 18645361 relations and 15659643 ideals in 8 passes
Tue Feb 16 01:50:34 2010  max relations containing the same ideal: 131
Tue Feb 16 01:50:48 2010  removing 1778405 relations and 1378405 ideals in 400000 cliques
Tue Feb 16 01:50:49 2010  commencing in-memory singleton removal
Tue Feb 16 01:50:51 2010  begin with 16866956 relations and 15659643 unique ideals
Tue Feb 16 01:51:11 2010  reduce to 16763531 relations and 14175957 ideals in 7 passes
Tue Feb 16 01:51:11 2010  max relations containing the same ideal: 123
Tue Feb 16 01:51:23 2010  removing 1718887 relations and 1318887 ideals in 400000 cliques
Tue Feb 16 01:51:24 2010  commencing in-memory singleton removal
Tue Feb 16 01:51:27 2010  begin with 15044644 relations and 14175957 unique ideals
Tue Feb 16 01:51:44 2010  reduce to 14937062 relations and 12747402 ideals in 7 passes
Tue Feb 16 01:51:44 2010  max relations containing the same ideal: 115
Tue Feb 16 01:51:55 2010  removing 1679658 relations and 1279658 ideals in 400000 cliques
Tue Feb 16 01:51:56 2010  commencing in-memory singleton removal
Tue Feb 16 01:51:58 2010  begin with 13257404 relations and 12747402 unique ideals
Tue Feb 16 01:52:15 2010  reduce to 13141105 relations and 11348960 ideals in 8 passes
Tue Feb 16 01:52:15 2010  max relations containing the same ideal: 105
Tue Feb 16 01:52:25 2010  removing 1630678 relations and 1230678 ideals in 400000 cliques
Tue Feb 16 01:52:25 2010  commencing in-memory singleton removal
Tue Feb 16 01:52:27 2010  begin with 11510427 relations and 11348960 unique ideals
Tue Feb 16 01:52:40 2010  reduce to 11371789 relations and 9976092 ideals in 7 passes
Tue Feb 16 01:52:40 2010  max relations containing the same ideal: 96
Tue Feb 16 01:52:49 2010  removing 1613140 relations and 1213140 ideals in 400000 cliques
Tue Feb 16 01:52:49 2010  commencing in-memory singleton removal
Tue Feb 16 01:52:51 2010  begin with 9758649 relations and 9976092 unique ideals
Tue Feb 16 01:53:03 2010  reduce to 9608761 relations and 8608786 ideals in 8 passes
Tue Feb 16 01:53:03 2010  max relations containing the same ideal: 86
Tue Feb 16 01:53:10 2010  removing 1585928 relations and 1185928 ideals in 400000 cliques
Tue Feb 16 01:53:11 2010  commencing in-memory singleton removal
Tue Feb 16 01:53:12 2010  begin with 8022833 relations and 8608786 unique ideals
Tue Feb 16 01:53:23 2010  reduce to 7836572 relations and 7230096 ideals in 9 passes
Tue Feb 16 01:53:23 2010  max relations containing the same ideal: 75
Tue Feb 16 01:53:29 2010  removing 1446035 relations and 1090206 ideals in 355829 cliques
Tue Feb 16 01:53:30 2010  commencing in-memory singleton removal
Tue Feb 16 01:53:31 2010  begin with 6390537 relations and 7230096 unique ideals
Tue Feb 16 01:53:39 2010  reduce to 6195118 relations and 5936651 ideals in 8 passes
Tue Feb 16 01:53:39 2010  max relations containing the same ideal: 63
Tue Feb 16 01:53:45 2010  relations with 0 large ideals: 795
Tue Feb 16 01:53:45 2010  relations with 1 large ideals: 7155
Tue Feb 16 01:53:45 2010  relations with 2 large ideals: 69575
Tue Feb 16 01:53:45 2010  relations with 3 large ideals: 353494
Tue Feb 16 01:53:45 2010  relations with 4 large ideals: 1002647
Tue Feb 16 01:53:45 2010  relations with 5 large ideals: 1661765
Tue Feb 16 01:53:45 2010  relations with 6 large ideals: 1656665
Tue Feb 16 01:53:45 2010  relations with 7+ large ideals: 1443022
Tue Feb 16 01:53:45 2010  commencing 2-way merge
Tue Feb 16 01:53:51 2010  reduce to 3671463 relation sets and 3412996 unique ideals
Tue Feb 16 01:53:51 2010  commencing full merge
Tue Feb 16 01:54:44 2010  memory use: 395.5 MB
Tue Feb 16 01:54:44 2010  found 1907918 cycles, need 1867196
Tue Feb 16 01:54:45 2010  weight of 1867196 cycles is about 130727827 (70.01/cycle)
Tue Feb 16 01:54:45 2010  distribution of cycle lengths:
Tue Feb 16 01:54:45 2010  1 relations: 214083
Tue Feb 16 01:54:45 2010  2 relations: 211134
Tue Feb 16 01:54:45 2010  3 relations: 220261
Tue Feb 16 01:54:45 2010  4 relations: 211179
Tue Feb 16 01:54:45 2010  5 relations: 199198
Tue Feb 16 01:54:45 2010  6 relations: 173194
Tue Feb 16 01:54:45 2010  7 relations: 148719
Tue Feb 16 01:54:45 2010  8 relations: 122245
Tue Feb 16 01:54:45 2010  9 relations: 98223
Tue Feb 16 01:54:45 2010  10+ relations: 268960
Tue Feb 16 01:54:45 2010  heaviest cycle: 18 relations
Tue Feb 16 01:54:46 2010  commencing cycle optimization
Tue Feb 16 01:54:49 2010  start with 10277460 relations
Tue Feb 16 01:55:02 2010  pruned 216301 relations
Tue Feb 16 01:55:02 2010  memory use: 352.6 MB
Tue Feb 16 01:55:02 2010  distribution of cycle lengths:
Tue Feb 16 01:55:02 2010  1 relations: 214083
Tue Feb 16 01:55:02 2010  2 relations: 215107
Tue Feb 16 01:55:02 2010  3 relations: 226567
Tue Feb 16 01:55:02 2010  4 relations: 215745
Tue Feb 16 01:55:02 2010  5 relations: 203739
Tue Feb 16 01:55:02 2010  6 relations: 176273
Tue Feb 16 01:55:02 2010  7 relations: 150474
Tue Feb 16 01:55:02 2010  8 relations: 121825
Tue Feb 16 01:55:02 2010  9 relations: 96878
Tue Feb 16 01:55:02 2010  10+ relations: 246505
Tue Feb 16 01:55:02 2010  heaviest cycle: 18 relations
Tue Feb 16 01:55:05 2010  RelProcTime: 4232
Tue Feb 16 01:55:05 2010  elapsed time 01:10:33


Tue Feb 16 01:55:32 2010  Msieve v. 1.44
Tue Feb 16 01:55:32 2010  random seeds: 29d2c3ad e965e3d8
Tue Feb 16 01:55:32 2010  factoring 6315011082326212861759378001460381655744123914330053236853058428366793582916494518062439711742158493507181037630191574610156925315769334851 (139 digits)
Tue Feb 16 01:55:33 2010  searching for 15-digit factors
Tue Feb 16 01:55:33 2010  commencing number field sieve (139-digit input)
Tue Feb 16 01:55:33 2010  R0: -545548548001369938857510366
Tue Feb 16 01:55:33 2010  R1:  4181495085807679
Tue Feb 16 01:55:33 2010  A0: -2661762105578500314980441754934185
Tue Feb 16 01:55:33 2010  A1:  35406203595953285477099322953
Tue Feb 16 01:55:33 2010  A2:  32113352736010501838393
Tue Feb 16 01:55:33 2010  A3: -175753517887987380
Tue Feb 16 01:55:33 2010  A4: -79686497461
Tue Feb 16 01:55:33 2010  A5:  130680
Tue Feb 16 01:55:33 2010  skew 685063.28, size 1.762990e-13, alpha -5.985333, combined = 2.239904e-11
Tue Feb 16 01:55:33 2010
Tue Feb 16 01:55:33 2010  commencing linear algebra
Tue Feb 16 01:55:33 2010  read 1867196 cycles
Tue Feb 16 01:55:37 2010  cycles contain 5955626 unique relations
Tue Feb 16 02:00:07 2010  read 5955626 relations
Tue Feb 16 02:00:15 2010  using 20 quadratic characters above 4294751058
Tue Feb 16 02:00:44 2010  building initial matrix
Tue Feb 16 02:01:55 2010  memory use: 799.5 MB
Tue Feb 16 02:01:58 2010  read 1867196 cycles
Tue Feb 16 02:01:59 2010  matrix is 1867013 x 1867196 (567.5 MB) with weight 181258502 (97.08/col)
Tue Feb 16 02:01:59 2010  sparse part has weight 126347684 (67.67/col)
Tue Feb 16 02:02:23 2010  filtering completed in 2 passes
Tue Feb 16 02:02:23 2010  matrix is 1863962 x 1864145 (567.1 MB) with weight 181122268 (97.16/col)
Tue Feb 16 02:02:23 2010  sparse part has weight 126301403 (67.75/col)
Tue Feb 16 02:02:28 2010  read 1864145 cycles
Tue Feb 16 02:02:30 2010  matrix is 1863962 x 1864145 (567.1 MB) with weight 181122268 (97.16/col)
Tue Feb 16 02:02:30 2010  sparse part has weight 126301403 (67.75/col)
Tue Feb 16 02:02:30 2010  saving the first 48 matrix rows for later
Tue Feb 16 02:02:30 2010  matrix is 1863914 x 1864145 (550.2 MB) with weight 144080947 (77.29/col)
Tue Feb 16 02:02:30 2010  sparse part has weight 125594365 (67.37/col)
Tue Feb 16 02:02:30 2010  matrix includes 64 packed rows
Tue Feb 16 02:02:30 2010  using block size 65536 for processor cache size 4096 kB
Tue Feb 16 02:02:37 2010  commencing Lanczos iteration
Tue Feb 16 02:02:37 2010  memory use: 534.5 MB
Tue Feb 16 02:02:48 2010  linear algebra at 0.0%, ETA 6h51m
Tue Feb 16 10:13:35 2010  lanczos halted after 29478 iterations (dim = 1863912)
Tue Feb 16 10:13:39 2010  recovered 31 nontrivial dependencies
Tue Feb 16 10:13:39 2010  BLanczosTime: 29886
Tue Feb 16 10:13:39 2010  elapsed time 08:18:07


Msieve v. 1.44
Tue Feb 16 10:26:57 2010
random seeds: a52371d1 5fa68102
factoring 6315011082326212861759378001460381655744123914330053236853058428366793582916494518062439711742158493507181037630191574610156925315769334851 (139 digits)
searching for 15-digit factors
commencing number field sieve (139-digit input)
R0: -545548548001369938857510366
R1:  4181495085807679
A0: -2661762105578500314980441754934185
A1:  35406203595953285477099322953
A2:  32113352736010501838393
A3: -175753517887987380
A4: -79686497461
A5:  130680
skew 685063.28, size 1.762990e-13, alpha -5.985333, combined = 2.239904e-11

commencing square root phase
reading relations for dependency 1
read 931889 cycles
cycles contain 2978778 unique relations
read 2978778 relations
multiplying 2978778 relations
multiply complete, coefficients have about 149.25 million bits
initial square root is modulo 227267
sqrtTime: 1043
prp66 factor: 488382430326013611322394826953489183663048852873377999567794432277
prp74 factor: 12930463280816031468431249838165445283268929093062473082670903265716598263
elapsed time 00:17:24

392615074451887587309102588348236851256041343031135215864890496461889016719159913122843847167953919012263357763060432089748263470278244565313477413647292356332584272649620221<174>

4516565897012282883697690057920883<34>

86927786155318407263273710266523202940690097929584601977940218641236715258445415008714444666356629075405450626239173034367866144188409959887<140>

Input number is 392615074451887587309102588348236851256041343031135215864890496461889016719159913122843847167953919012263357763060432089748263470278244565313477413647292356332584272649620221 (174 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3214346417
Step 1 took 28205ms
********** Factor found in step 1: 4516565897012282883697690057920883
Found probable prime factor of 34 digits: 4516565897012282883697690057920883
Composite cofactor 86927786155318407263273710266523202940690097929584601977940218641236715258445415008714444666356629075405450626239173034367866144188409959887 has 140 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

86927786155318407263273710266523202940690097929584601977940218641236715258445415008714444666356629075405450626239173034367866144188409959887<140>

16814750565378686502204377710527501824320586545945603<53>
5169733908173540534007921788791377675334362229095173255753307146459503895142109161685829<88>

# gnfs,140
# pol51 polynomial selection time: 2 or 3 days (while ECM was run for a week or two)
#
Number: 17771_214
N=86927786155318407263273710266523202940690097929584601977940218641236715258445415008714444666356629075405450626239173034367866144188409959887
  ( 140 digits)
Divisors found:
 r1=16814750565378686502204377710527501824320586545945603
 r2=5169733908173540534007921788791377675334362229095173255753307146459503895142109161685829
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.735).
Factorization parameters were as follows:
name: 17771_214
n: 86927786155318407263273710266523202940690097929584601977940218641236715258445415008714444666356629075405450626239173034367866144188409959887
skew: 267143.89
# norm 1.97e+19
c5: 698880
c4: -1489690686532
c3: -176616113976832028
c2: 103006324549653347616719
c1: 3712851734270791622017222272
c0: -432658741100514020527612440105864
# alpha -6.29
Y1: 13968147388773457
Y0: -659105787539946137530863055
# Murphy_E 1.94e-11
# M 49579079600743972072443184556436418407617530021357634358500716158197635856463288739352084719618552259657530257163309696054721363836328031333
type: gnfs
rlim: 12000000
alim: 12000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [6000000, 37700001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: 16715895 relations 
#### (beware of huge redundancy! up to 25-30% in the end)
12175171 unique relations and about 10717437 large ideals
Max relations in full relation-set: 20
Initial matrix:
Pruned matrix : 2296340 x 2296588 (this one, Lanczos = 31hrs)
Pruned matrix : 1881104 x 1881352 (with most oversieving, Lanczos = 15hrs, -> 
...Sun Aug  3 03:17:51 2008  lanczos error: only trivial dependencies found !! tried twice)
Pruned matrix : 2052464 x 2052685 (alternative run with oversieving and pruning, Lanczos = 19hrs, still running for studying purposes)

Total sieving time: 17 days
Total relation processing time: 2.00 hours.
Matrix solve time: 31.00 hours.
Time per square root: 1.60 hours. * 3 deps
Prototype def-par.txt line would be:
gnfs,139,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,12000000,12000000,27,27,54,54,2.6,2.6,100000

total time: 19 days

# in retrospect, obervations - rlim/alim should be higher still 
# 28 bit would have been probably better in terms of redundancy of sieving

Msieve-1.36+pol51

Opteron-2.8GHz; Linux x86_64

34275982663690755801533909752600103727772684455075994802722468979742820234835610728509457354161629539292255099792590639329709991795481858238015810336931569807860550421485886248229809348155337<191>

16993254544088994418802208329222111041<38>

2017034616574578333352594311052563596623521835744304536991343545930368699537861663516241055764361488063643138782918033528620871827176764508692767386386057<154>

Input number is 34275982663690755801533909752600103727772684455075994802722468979742820234835610728509457354161629539292255099792590639329709991795481858238015810336931569807860550421485886248229809348155337 (191 digits)
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=907993680
Step 1 took 50670ms
Step 2 took 20966ms
********** Factor found in step 2: 16993254544088994418802208329222111041
Found probable prime factor of 38 digits: 16993254544088994418802208329222111041
Composite cofactor 2017034616574578333352594311052563596623521835744304536991343545930368699537861663516241055764361488063643138782918033528620871827176764508692767386386057 has 154 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

24199343030304673917570818401198090307706604729662034881244790117480409070719630603838594427982130442667613637004200332400246256214237608195295430110631679470541689001223915098825589372339<188>

266464137760785282591389428891644459884472153606747186478922452063212446347576031678930570090419406648631483796157778775929598522271625056588463939454049429242617369186720009600208565899133698990025836436413<207>

42488199915811907825218401930593218201413183069156125657<56>
11155030042747976376970193483677128103653680188426636075287879721351<68>
562211456701312316047511385337657079944341409237290044237468967791738343818854771859<84>

Number: n
N=266464137760785282591389428891644459884472153606747186478922452063212446347576031678930570090419406648631483796157778775929598522271625056588463939454049429242617369186720009600208565899133698990025836436413
  ( 207 digits)
SNFS difficulty: 219 digits.
Divisors found:

Tue Dec 31 10:15:34 2019  found factor: 11155030042747976376970193483677128103653680188426636075287879721351
Tue Dec 31 10:23:43 2019  p56 factor: 42488199915811907825218401930593218201413183069156125657
Tue Dec 31 10:23:43 2019  p68 factor: 11155030042747976376970193483677128103653680188426636075287879721351
Tue Dec 31 10:23:43 2019  p84 factor: 562211456701312316047511385337657079944341409237290044237468967791738343818854771859
Tue Dec 31 10:23:43 2019  elapsed time 09:13:32 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.132).
Factorization parameters were as follows:
#
# N = 16x10^218-61 = 17(217)1
#
n: 266464137760785282591389428891644459884472153606747186478922452063212446347576031678930570090419406648631483796157778775929598522271625056588463939454049429242617369186720009600208565899133698990025836436413
m: 2000000000000000000000000000000000000
deg: 6
c6: 25
c0: -61
skew: 1.16
# Murphy_E = 2.79e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 84800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9678385 hash collisions in 58925772 relations (51501576 unique)
Msieve: matrix is 4349955 x 4350180 (1512.6 MB)

Sieving start time: 2019/12/29 07:41:02
Sieving end time  : 2019/12/31 01:08:12

Total sieving time: 41hrs 27min 10secs.

Total relation processing time: 8hrs 22min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 32min 36sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

1125216598787036175918660026235061992794317085915028193133489304996702489464853661630666172859862842928015184646293012418359650337465642156967618789937268149742548896327117627180236719349513<190>

212114590904713320009900689948963961604923720604596073813<57>
5304758121484009393136878494986835923753701529927592679795942499825999163144746609762841509694809220669229020376512127513385060188901<133>

Number: 17771_219
N = 1125216598787036175918660026235061992794317085915028193133489304996702489464853661630666172859862842928015184646293012418359650337465642156967618789937268149742548896327117627180236719349513 (190 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=212114590904713320009900689948963961604923720604596073813 (pp57)
r2=5304758121484009393136878494986835923753701529927592679795942499825999163144746609762841509694809220669229020376512127513385060188901 (pp133)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 64.24 hours.
Factorization parameters were as follows:
n: 1125216598787036175918660026235061992794317085915028193133489304996702489464853661630666172859862842928015184646293012418359650337465642156967618789937268149742548896327117627180236719349513
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8
c0: -305
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8031734 relations
Pruned matrix : 7123539 x 7123764
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 46.42 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 17.27 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 64.24 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

73988268337595060792862714091518403018010225997354271472740728698991096591500964843324008569207598531002706352894671306355268188092469610054516295454134699938032179824552839342464203<182>

55949358235598934650206505967480781<35>

1322414960079354351709834861520621170706984511895469829631709464819715591749118547779968053941698236864151284187903149814300379387206849149544675063<148>

A factor was found for (16*10^220-61)/9 using GMP-ECM using factor method ECM
   Candidate number: 73988268337595060792862714091518403018010225997354271472740728698991096591500964843324008569207598531002706352894671306355268188092469610054516295454134699938032179824552839342464203
   Factor: 55949358235598934650206505967480781
   Factor Type: probable
   Factor Length: 35
   Co-Factor: 1322414960079354351709834861520621170706984511895469829631709464819715591749118547779968053941698236864151284187903149814300379387206849149544675063
   Co-Factor Type: Composite
   Co-Factor Length: 148
   B1: 1000000
   Sigma: 2519299828
   Finder: j_m_berg@yahoo.com
   Found on machine: Office2400AMD

1322414960079354351709834861520621170706984511895469829631709464819715591749118547779968053941698236864151284187903149814300379387206849149544675063<148>

502302273034882362079860646223768728379203876736278008316737227<63>
2632707497199637986790781217412309087011431749152792902304523313521897147926180843269<85>

Number: 17771_220
N=1322414960079354351709834861520621170706984511895469829631709464819715591749118547779968053941698236864151284187903149814300379387206849149544675063
  ( 148 digits)
Divisors found:
 r1=502302273034882362079860646223768728379203876736278008316737227 (pp63)
 r2=2632707497199637986790781217412309087011431749152792902304523313521897147926180843269 (pp85)
Version: Msieve-1.39
Total time: 1400.00 hours.
Scaled time: 3830.40 units (timescale=2.736).
Factorization parameters were as follows:
name: 17771_220
n: 1322414960079354351709834861520621170706984511895469829631709464819715591749118547779968053941698236864151284187903149814300379387206849149544675063
skew: 190966.40
c5: 24166860
c4: -17657193107092
c3: -2881381445141050978
c2: 749005469110315625842208
c1: -28000830886921387321901315893
c0: 8308569654994887332138921957235
Y1: 253242919256012579
Y0: -8864032069059734770877792666
# norm 2.53e+20
# alpha -5.85
# Murphy_E 7.15e-12
type: gnfs
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved algebraic special-q in [18000000, 19000001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 3086519 x 3086767
Total sieving time: 1280.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 30.00 hours (4 cpu)
Time per square root: 1.50 hours.
Prototype def-par.txt line would be:
gnfs,147,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 1400.00 hours.

Msieve-1.39+pol51 gnfs

Opteron-2.6GHz; Linux x86_64

5387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387<220>

40547480142119922688518914038786161136818885750756170028782710211441154919<74>
132861656712651410768724637841254958549779105856049539596201523367987125563433527252580925341831118918802493988686721629211532202122209163723587773<147>

Number: n
N=5387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387
  ( 220 digits)
SNFS difficulty: 222 digits.
Divisors found:

Fri Aug 28 17:17:55 2009  prp74 factor: 40547480142119922688518914038786161136818885750756170028782710211441154919
Fri Aug 28 17:17:55 2009  prp147 factor: 132861656712651410768724637841254958549779105856049539596201523367987125563433527252580925341831118918802493988686721629211532202122209163723587773
Fri Aug 28 17:17:55 2009  elapsed time 67:04:23 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 174.43 hours.
Scaled time: 351.30 units (timescale=2.014).
Factorization parameters were as follows:
name: KA_1_7_220_1
n: 5387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387205387
m: 10000000000000000000000000000000000000
deg: 6
c6: 8
c0: -305
skew: 1.83
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [18000000, 54149990)
Primes: RFBsize:2204262, AFBsize:2201981, largePrimes:38297939 encountered
Relations: rels:36171342, finalFF:1790359
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9529631 hash collisions in 52517034 relations
Msieve: matrix is 5639739 x 5639987 (1521.0 MB)

Total sieving time: 172.55 hours.
Total relation processing time: 1.88 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,222,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 174.43 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3352028k/3407296k available (3120k kernel code, 53984k reserved, 1898k data, 424k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.41 BogoMIPS (lpj=2830706)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Total of 4 processors activated (22644.14 BogoMIPS).

351755049365616383949714769227614187889157209594048235553243242894861614014281182362003529314723939879763509174786959918572659720195659859259195187271178691857313596989012593294911335236825065747<195>

36935777665541691709580287003272744463270207642633357582461192113<65>
9523423401310362648523974084807767439799091872560734112361572966919520603965193227844666978113926132424519216284595239572802761219<130>

Number: 17771_222
N = 351755049365616383949714769227614187889157209594048235553243242894861614014281182362003529314723939879763509174786959918572659720195659859259195187271178691857313596989012593294911335236825065747 (195 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=36935777665541691709580287003272744463270207642633357582461192113 (pp65)
r2=9523423401310362648523974084807767439799091872560734112361572966919520603965193227844666978113926132424519216284595239572802761219 (pp130)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 75.51 hours.
Factorization parameters were as follows:
n: 351755049365616383949714769227614187889157209594048235553243242894861614014281182362003529314723939879763509174786959918572659720195659859259195187271178691857313596989012593294911335236825065747
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1600
c0: -61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34691976
Relations: 9077488 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 36.39 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 7823579 x 7823804
Matrix solve time: 38.47 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 75.51 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

29701712371995265047576462303446939830155267217566283047907774744836950137561132980649587490988350258096650150738524862620232368858755602727757274825030561843824628281911734470171<179>

70881677086210004104531813855184670946338921944489418063569458068586193728820620239531263664836714290167313033423850693703191439327041499951107315063811016298410840305832138196719414899123088607<194>

247046739661072661230637470210755114559<39>
286916059622781100623601679240117939871882618550760849903268950587193753296459162143817854883327763147036008100603481526880988265406728788824854702756946273<156>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2834035577
Step 1 took 135653ms
Step 2 took 77609ms
********** Factor found in step 2: 247046739661072661230637470210755114559
Found probable prime factor of 39 digits: 247046739661072661230637470210755114559
Probable prime cofactor 286916059622781100623601679240117939871882618550760849903268950587193753296459162143817854883327763147036008100603481526880988265406728788824854702756946273 has 156 digits

720738088461269480890298588025480429544528945293228914698515628477434996333299777850462237104612416721036993402407848707710334960769092659863675218672637113475492674368722803169341690311844848067330690522340897586335253<219>

36047700403932413256908864551479812386527302652400100573216734572568425800242241132683167978517691611415934061305659513878860791340793775048643423320471393486873946220944229643<176>

401303020798046802054496312007947<33>

89826636072279131116714353972287582321596844330753481523328414047161154003015891965880718193219424721650631512860323732891810346797182170707969<143>

Input number is 36047700403932413256908864551479812386527302652400100573216734572568425800242241132683167978517691611415934061305659513878860791340793775048643423320471393486873946220944229643 (176 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1023882424
Step 1 took 86050ms
Step 2 took 34071ms
********** Factor found in step 2: 401303020798046802054496312007947
Found probable prime factor of 33 digits: 401303020798046802054496312007947
Composite cofactor 89826636072279131116714353972287582321596844330753481523328414047161154003015891965880718193219424721650631512860323732891810346797182170707969 has 143 digits

GMP-ECM 6.1.2

Pentium 4 2.26GHz, Windows XP

89826636072279131116714353972287582321596844330753481523328414047161154003015891965880718193219424721650631512860323732891810346797182170707969<143>

87223325153410539792960778242188741603814806673799<50>
1029846499365735297813123521677298882667759078003887769594019571105528710392948346877097419831<94>

Number: 17771_232
N = 89826636072279131116714353972287582321596844330753481523328414047161154003015891965880718193219424721650631512860323732891810346797182170707969 (143 digits)
Divisors found:
r1=87223325153410539792960778242188741603814806673799 (pp50)
r2=1029846499365735297813123521677298882667759078003887769594019571105528710392948346877097419831 (pp94)
Version: Msieve v. 1.51 (SVN 845)
Total time: 546.31 hours.
Factorization parameters were as follows:
# Murphy_E = 1.35e-11, selected by Erik Branger
# expecting poly E from 1.18e-011 to > 1.36e-011
n: 89826636072279131116714353972287582321596844330753481523328414047161154003015891965880718193219424721650631512860323732891810346797182170707969
Y0: -6464591262025782168938939162
Y1: 6266681841998519
c0: 96971187180506498740433178650608245
c1: 249925703369147361248212619477
c2: -396183745012784245981969
c3: -395017825856983113
c4: 94628050044
c5: 7956
skew: 2130033.61
type: gnfs
# selected mechanically
rlim: 22000000
alim: 22000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23691711
Relations: 4546252 relations
Pruned matrix : 2818863 x 2819088
Polynomial selection time: 0.00 hours.
Total sieving time: 529.12 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 16.53 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,22000000,22000000,28,28,56,56,2.6,2.6,100000
total time: 546.31 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

13996494072952104062470127690478079363804488933901736270836962200084383928216208548605936620083031380752053672052476979361905186298348726859619394948761470078486621629801975069111238498799364994045183074401944547<212>

119847242045153154572043049773442389707845920086886217837687497703703496231486731548925284535034185164350180772869465102244612292892254468589838696030092784205183248643759021769521364951851<189>

2108665122841862709833901087865609350733140263137399644610703047558884682075932341601425592192649102438171459163394956087114145504534146382830531702271691684498298589684613929281<178>

386429589610739568586536276533<30>

5456790006598550442100281169561982842187688146957656961433830490109471823566646007637536015206945208419922672451393758392495497829432520817568779357<148>

Input number is 2108665122841862709833901087865609350733140263137399644610703047558884682075932341601425592192649102438171459163394956087114145504534146382830531702271691684498298589684613929281 (178 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1848886819
Step 1 took 28548ms
********** Factor found in step 1: 386429589610739568586536276533
Found probable prime factor of 30 digits: 386429589610739568586536276533
Composite cofactor 5456790006598550442100281169561982842187688146957656961433830490109471823566646007637536015206945208419922672451393758392495497829432520817568779357 has 148 digits

Sempron 3400+ 1.80GHz, Windows Vista

5456790006598550442100281169561982842187688146957656961433830490109471823566646007637536015206945208419922672451393758392495497829432520817568779357<148>

151909019354249419571440528481694434053<39>

35921435276159625817527432090229298251807652677226377310650377800268125022879271309502187214950639477080494969<110>

Input number is 5456790006598550442100281169561982842187688146957656961433830490109471823566646007637536015206945208419922672451393758392495497829432520817568779357 (148 digits)
Using B1=5000000, B2=11416314010, polynomial Dickson(12), sigma=1291122901
Step 1 took 109138ms
Step 2 took 33930ms
********** Factor found in step 2: 151909019354249419571440528481694434053
Found probable prime factor of 39 digits: 151909019354249419571440528481694434053
Composite cofactor 35921435276159625817527432090229298251807652677226377310650377800268125022879271309502187214950639477080494969 has 110 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

35921435276159625817527432090229298251807652677226377310650377800268125022879271309502187214950639477080494969<110>

125605990791686900936504691140588363699<39>
285985047765230062977841876142162519940065363490818809053547121928669731<72>

Number: 17771_235
N=35921435276159625817527432090229298251807652677226377310650377800268125022879271309502187214950639477080494969
  ( 110 digits)
Divisors found:
 r1=125605990791686900936504691140588363699 (pp39)
 r2=285985047765230062977841876142162519940065363490818809053547121928669731 (pp72)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 41.18 hours.
Scaled time: 24.75 units (timescale=0.601).
Factorization parameters were as follows:
name: 17771_235
n: 35921435276159625817527432090229298251807652677226377310650377800268125022879271309502187214950639477080494969
skew: 72976.38
# norm 1.70e+015
c5: 1260
c4: -836799224
c3: -25758351942273
c2: 3873905822348724057
c1: 36021861400424370105497
c0: -2749686868191143529867179949
# alpha -6.14
Y1: 46032740939
Y0: -1954330392375004368760
# Murphy_E 1.02e-009
# M 29519177398588835710920117477561627763408019706375126725127183876838642123095149601369374918428495280763074661
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: RFBsize:230209, AFBsize:230179, largePrimes:7349364 encountered
Relations: rels:7139629, finalFF:551314
Max relations in full relation-set: 28
Initial matrix: 460468 x 551314 with sparse part having weight 43597310.
Pruned matrix : 383114 x 385480 with weight 25752079.
Total sieving time: 31.84 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 8.38 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 41.18 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.26GHz, Windows XP and Cygwin

161175513117311524137805049199307766726651091796374148620897841933413388645615528912456293913626185257190138707987625971092099875124019651202034385616304899903936307153717691725133<180>

2995094195117222887884298164866532149<37>
53813170009834495019293890293026883737954771285601624407366337052839069598577066902859258931966909830488746548353116927917982040532206068831417<143>

Input number is 161175513117311524137805049199307766726651091796374148620897841933413388645615528912456293913626185257190138707987625971092099875124019651202034385616304899903936307153717691725133 (180 digits)
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=1853018970
Step 1 took 43041ms
Step 2 took 19578ms
********** Factor found in step 2: 2995094195117222887884298164866532149
Found probable prime factor of 37 digits: 2995094195117222887884298164866532149
Probable prime cofactor 53813170009834495019293890293026883737954771285601624407366337052839069598577066902859258931966909830488746548353116927917982040532206068831417 has 143 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

111584349803295759033341407021682509914052697898816032905304964153340935906902480734637373652371802960237650927488518860147155600291453088955150250197940420624689336733496164158995443356812206716925680056683551915219<216>

815821100045190986442820221468007365907<39>

136775513402527513276449960252663240132942816718177192411429017991695294109856094335387861403514950816382124132603420271754341116847737151134113233593519139011699375754070276417<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3295713768
Step 1 took 36832ms
Step 2 took 18408ms
********** Factor found in step 2: 815821100045190986442820221468007365907
Found probable prime factor of 39 digits: 815821100045190986442820221468007365907
Composite cofactor 136775513402527513276449960252663240132942816718177192411429017991695294109856094335387861403514950816382124132603420271754341116847737151134113233593519139011699375754070276417 has 177 digits

GMP-ECM 6.3

180488031765009752740411234887944281433100133921372836991923189177398635119691050645826812015922479772739194434457523453284482779647545932336836260948489534646703560950718086316763508923191164852648661975215710690471<216>

3635546933168771123588232262171985799019073<43>
49645358754231505271704520463941124503054131985354822418891186123680825347035422254985426027429954370789824305822464117472409850554663118163426845863590649176484170127543527<173>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1812907080
Step 1 took 169194ms
Step 2 took 48371ms
********** Factor found in step 2: 3635546933168771123588232262171985799019073
Found probable prime factor of 43 digits: 3635546933168771123588232262171985799019073
Probable prime cofactor 49645358754231505271704520463941124503054131985354822418891186123680825347035422254985426027429954370789824305822464117472409850554663118163426845863590649176484170127543527 has 173 digits

GMP-ECM 6.2.1

Turion 64 X2 Mobile 1.8GHz, Gentoo Linux

26201972556974144792041848980802148423899226664649212166593626957270184038185364357260198396601119918230373063341866812394339164411179922894188583860606258311562615147897216519<176>

1008989719228524520321892178343217630278739<43>

25968522827971154549803330485680912180029089430556642351994592602875037001644994087121877216691180064329888807747603739795003325217021<134>

Input number is 26201972556974144792041848980802148423899226664649212166593626957270184038185364357260198396601119918230373063341866812394339164411179922894188583860606258311562615147897216519 (176 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4221855083
Step 1 took 50303ms
Step 2 took 21214ms
********** Factor found in step 2: 1008989719228524520321892178343217630278739
Found probable prime factor of 43 digits: 1008989719228524520321892178343217630278739
Composite cofactor has 134 digits

25968522827971154549803330485680912180029089430556642351994592602875037001644994087121877216691180064329888807747603739795003325217021<134>

2401751091201983739092508643496917164072520725929834284569799293701<67>
10812328939122043235237703044935268315327034409219609424564177639321<68>

Msieve v. 1.49 (SVN exportiert)
Thu Nov  3 15:41:30 2011
random seeds: 71179070 7130787d
factoring 25968522827971154549803330485680912180029089430556642351994592602875037001644994087121877216691180064329888807747603739795003325217021 (134 digits)
searching for 15-digit factors
commencing number field sieve (134-digit input)
#  selected by Serge Batalov
R0: -188887292396449329462942354
R1:  177136284107617
A0:  11418580806664101366297750183509725
A1:  21855291544770505590932122444
A2: -25872249280286459342826
A3: -21267945222763000
A4:  2594667533
A5:  108
skew 3231360.15, size 6.473e-13, alpha -6.208, combined = 4.644e-11 rroots = 5

commencing relation filtering
estimated available RAM is 16079.8 MB
commencing duplicate removal, pass 1
error -15 reading relation 2780665
error -11 reading relation 3957124
error -15 reading relation 5268930
error -1 reading relation 6972455
error -9 reading relation 9226408
error -15 reading relation 9474536
read 10M relations
error -9 reading relation 11706126
error -9 reading relation 11947072
error -15 reading relation 14173962
read 20M relations
found 2468842 hash collisions in 21655540 relations
added 121185 free relations
commencing duplicate removal, pass 2
found 1976776 duplicates and 19799949 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 625.7 MB
keeping 21611628 ideals with weight <= 200, target excess is 122098
commencing in-memory singleton removal
begin with 19799949 relations and 21611628 unique ideals
reduce to 7658051 relations and 7381176 ideals in 19 passes
max relations containing the same ideal: 102
removing 800318 relations and 732697 ideals in 67621 cliques
commencing in-memory singleton removal
begin with 6857733 relations and 7381176 unique ideals
reduce to 6792311 relations and 6582188 ideals in 10 passes
max relations containing the same ideal: 94
removing 580140 relations and 512519 ideals in 67621 cliques
commencing in-memory singleton removal
begin with 6212171 relations and 6582188 unique ideals
reduce to 6172418 relations and 6029468 ideals in 9 passes
max relations containing the same ideal: 87
relations with 0 large ideals: 467
relations with 1 large ideals: 1229
relations with 2 large ideals: 21868
relations with 3 large ideals: 159482
relations with 4 large ideals: 616821
relations with 5 large ideals: 1367902
relations with 6 large ideals: 1800775
relations with 7+ large ideals: 2203874
commencing 2-way merge
reduce to 3533861 relation sets and 3390912 unique ideals
ignored 1 oversize relation sets
commencing full merge
memory use: 389.1 MB
found 1795975 cycles, need 1779112
weight of 1779112 cycles is about 124729513 (70.11/cycle)
distribution of cycle lengths:
1 relations: 251532
2 relations: 224300
3 relations: 214860
4 relations: 185311
5 relations: 159443
6 relations: 133747
7 relations: 114404
8 relations: 94722
9 relations: 78509
10+ relations: 322284
heaviest cycle: 23 relations
commencing cycle optimization
start with 10185393 relations
pruned 198559 relations
memory use: 350.5 MB
distribution of cycle lengths:
1 relations: 251532
2 relations: 228989
3 relations: 221475
4 relations: 188304
5 relations: 161724
6 relations: 134466
7 relations: 114273
8 relations: 94021
9 relations: 77303
10+ relations: 307025
heaviest cycle: 23 relations
RelProcTime: 715

commencing linear algebra
read 1779112 cycles
cycles contain 5996914 unique relations
read 5996914 relations
using 20 quadratic characters above 268435400
building initial matrix
memory use: 771.3 MB
read 1779112 cycles
matrix is 1778941 x 1779112 (543.0 MB) with weight 168999228 (94.99/col)
sparse part has weight 121004902 (68.01/col)
filtering completed in 2 passes
matrix is 1775108 x 1775286 (542.7 MB) with weight 168841676 (95.11/col)
sparse part has weight 120956994 (68.13/col)
matrix starts at (0, 0)
matrix is 1775108 x 1775286 (542.7 MB) with weight 168841676 (95.11/col)
sparse part has weight 120956994 (68.13/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 1775060 x 1775286 (521.6 MB) with weight 134785253 (75.92/col)
sparse part has weight 118970007 (67.01/col)
using block size 262144 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 634.0 MB
linear algebra at 0.1%, ETA 3h35m1775286 dimensions (0.1%, ETA 3h35m)    
checkpointing every 490000 dimensions286 dimensions (0.1%, ETA 3h39m)    
linear algebra completed 1774947 of 1775286 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 28071 iterations (dim = 1775060)
recovered 31 nontrivial dependencies
BLanczosTime: 12898

commencing square root phase
reading relations for dependency 1
read 886534 cycles
cycles contain 2995662 unique relations
read 2995662 relations
multiplying 2995662 relations
multiply complete, coefficients have about 126.31 million bits
initial square root is modulo 1164537769
sqrtTime: 510
prp67 factor: 2401751091201983739092508643496917164072520725929834284569799293701
prp68 factor: 10812328939122043235237703044935268315327034409219609424564177639321
elapsed time 03:55:24

6629831162524590808845246022618174935879411049965253502280848072849042873915830850748905496273133182939899542342308102349265016205690755732846281902931053904608601505850901588437679942817724501646035002697200839254021<217>

73816070285390658060425630041457<32>
89815552858504538029397848590765921832955963914835824465961063265706776182932599671826275231815308372814936304804714931802441141565531885161718561173705190056377611445342403457383082453<185>

Input number is 6629831162524590808845246022618174935879411049965253502280848072849042873915830850748905496273133182939899542342308102349265016205690755732846281902931053904608601505850901588437679942817724501646035002697200839254021 (217 digits)
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=469010008
Step 1 took 67596ms
Step 2 took 25677ms
********** Factor found in step 2: 73816070285390658060425630041457
Found probable prime factor of 32 digits: 73816070285390658060425630041457
Probable prime cofactor 89815552858504538029397848590765921832955963914835824465961063265706776182932599671826275231815308372814936304804714931802441141565531885161718561173705190056377611445342403457383082453 has 185 digits

GMP-ECM 6.1.2

Pentium 4 2.26GHz, Windows XP

27626213963553527454039966462621347575891150717635495486194915303963797548114317437686517620051398855038682249287763672805971976914176643191902498898290630104296348728665141904474768392456273212485867664956271<209>

23927338568455349437657020835689181<35>

1154587832011312664684319787690887343855960034230279419823600016435051159772210847611408481790922675000344963443900485817612482088891032224245876772595417312934546709619016891<175>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3921543760
Step 1 took 131250ms
Step 2 took 45515ms
********** Factor found in step 2: 23927338568455349437657020835689181
Found probable prime factor of 35 digits: 23927338568455349437657020835689181
Composite cofactor 1154587832011312664684319787690887343855960034230279419823600016435051159772210847611408481790922675000344963443900485817612482088891032224245876772595417312934546709619016891 has 175 digits

GMP-ECM 6.2.1

Pentium 4 2.24GHz, Windows XP

1154587832011312664684319787690887343855960034230279419823600016435051159772210847611408481790922675000344963443900485817612482088891032224245876772595417312934546709619016891<175>

6950297122404667017126180580571804584478873<43>

166120643718875694895439230457454130372805426624914469247258597414850120689633171822030516124559559879255845119412360869912224458867<132>

Input number is 1154587832011312664684319787690887343855960034230279419823600016435051159772210847611408481790922675000344963443900485817612482088891032224245876772595417312934546709619016891 (175 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2300138562
Step 1 took 52340ms
Step 2 took 21401ms
********** Factor found in step 2: 6950297122404667017126180580571804584478873
Found probable prime factor of 43 digits: 6950297122404667017126180580571804584478873
Composite cofactor has 132 digits

166120643718875694895439230457454130372805426624914469247258597414850120689633171822030516124559559879255845119412360869912224458867<132>

689374275326868006879050949809921591183884129<45>
240973081915639082845341170724077395917094580643682269940315761724024326654500463959123<87>

N = 166120643718875694895439230457454130372805426624914469247258597414850120689633171822030516124559559879255845119412360869912224458867 (132 digits)
Divisors found:
r1=689374275326868006879050949809921591183884129 (pp45)
r2=240973081915639082845341170724077395917094580643682269940315761724024326654500463959123 (pp87)
Version: Msieve v. 1.48
Total time: 49.97 hours.
Factorization parameters were as follows:
n: 166120643718875694895439230457454130372805426624914469247258597414850120689633171822030516124559559879255845119412360869912224458867
Y0: -27083442976093856366299909
Y1: 261221322758821
c0: 4876028979584911535465973484254000
c1: 29573413602619924057905484284
c2: 8326692776902736754740
c3: -44230316944346531
c4: -1663839550
c5: 11400
skew: 1188914.03
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20645862
Relations: 2586368 relations
Pruned matrix : 1499062 x 1499289
Polynomial selection time: 0.00 hours.
Total sieving time: 46.67 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.06 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 49.97 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

138637987288656086969874379565603728259551543553881250042330567371728021573944829622682685084106863417359289417778589313745598120261976844454425417011419167841166773432453603951219<180>

6805943732941698014429478017066561<34>
20370134213368423426672455205813626417541067572894236720844778196943084983955699624795881283538877410006319344463020634482928235221594799195308979<146>

Input number is 138637987288656086969874379565603728259551543553881250042330567371728021573944829622682685084106863417359289417778589313745598120261976844454425417011419167841166773432453603951219 (180 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4067790032
Step 1 took 28673ms
Step 2 took 14321ms
********** Factor found in step 2: 6805943732941698014429478017066561
Found probable prime factor of 34 digits: 6805943732941698014429478017066561
Probable prime cofactor 20370134213368423426672455205813626417541067572894236720844778196943084983955699624795881283538877410006319344463020634482928235221594799195308979 has 146 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

3062391869291291952474411005089869093386867327779351016744908372183719125434507130855621387483674793235562222953224543825143152473583522613890818900102317377928793905909402875501255332909624328681206324601298476198700294917493774980037<235>

50471251208266401221148968621<29>
60675964949918263205609110309720019624586192956489493080965555374327360718253084322742804690412945082154262349245969473440450190732883309700083469169362728986304992360444260458290295833946365316166058187897<206>

Input number is 3062391869291291952474411005089869093386867327779351016744908372183719125434507130855621387483674793235562222953224543825143152473583522613890818900102317377928793905909402875501255332909624328681206324601298476198700294917493774980037 (235 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4020047311
Step 1 took 51324ms
********** Factor found in step 1: 50471251208266401221148968621
Found probable prime factor of 29 digits: 50471251208266401221148968621
Probable prime cofactor 60675964949918263205609110309720019624586192956489493080965555374327360718253084322742804690412945082154262349245969473440450190732883309700083469169362728986304992360444260458290295833946365316166058187897 has 206 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

1063640089731249985210316699497480130011540354062384514150346389806701408385191373739905304087200876420067492295773993140256402903403519348354687540196862411470176556944786134768473976529212212566930591600675643811<214>

2446972297993506364536910147344312252817<40>
434675983297164654943064917508776598208565289076376758993205934839973130416427780890879508995035601216645271796689898925197909151263983145235974828216649664885501680694980083<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1310421718
Step 1 took 141016ms
Step 2 took 46359ms
********** Factor found in step 2: 2446972297993506364536910147344312252817
Found probable prime factor of 40 digits: 2446972297993506364536910147344312252817
Probable prime cofactor 434675983297164654943064917508776598208565289076376758993205934839973130416427780890879508995035601216645271796689898925197909151263983145235974828216649664885501680694980083 has 174 digits

GMP-ECM 6.2.1

Pentium 4 2.24GHz, Windows XP

164118707278697012148901963411649001516134817629050281366776093237182031111661894441228458503313250765273030656112662531626679174373740660593229857490939673830703101301869297279693<180>

56240919985350894164943119930097165797914235344680264144588228723489697459976291153732124643535432140146673893276905973924510440260503586219440881501780621623462593598553723426652131897268219996660472849<203>

47127519770374767542490387021015569<35>
1193377463091214465280930122329596329399002506548645441537440214904924329099256353065394411257513274567225314616795075715769044965685150587906045369454735928523088581121<169>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=137838325
Step 1 took 130344ms
Step 2 took 44797ms
********** Factor found in step 2: 47127519770374767542490387021015569
Found probable prime factor of 35 digits: 47127519770374767542490387021015569
Probable prime cofactor 1193377463091214465280930122329596329399002506548645441537440214904924329099256353065394411257513274567225314616795075715769044965685150587906045369454735928523088581121 has 169 digits

GMP-ECM 6.2.1

Pentium 4 2.24GHz, Windows XP

210284502279937669588616997431091621095874451555956664862345129288820145684647696211777194053630527228015687471184161918944474483076292640409232390691071752385583805428800537262104111795340397550023379149184221832197259604680005493121583537<240>

14168472275119053432216683971680269901239873994700666170444561420434678584783881287409082983345527777887163284162386272162314650186773377764935653219352068791734739086705174616729654655734398812207787630885391491195495374337<224>

381304864153435672400035509430464964818760596593866015778636391050985981032061325771390400647043258607413557182191167443435550261519688300920796060398355841415490145895432298819204990146736579839819739277973076411136574531300913<228>

33273696103095296162560387112426707632251<41>
11459648575619606808262864861898631836834380107025454538075369618977123371092173776853361924845570946529600730468494194070828968033243397880956979774128467482267328075554585213578418244163<188>

Run 284 out of 610:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3842423267
Step 1 took 83438ms
Step 2 took 24857ms
********** Factor found in step 2: 33273696103095296162560387112426707632251
Found probable prime factor of 41 digits: 33273696103095296162560387112426707632251
Probable prime cofactor 11459648575619606808262864861898631836834380107025454538075369618977123371092173776853361924845570946529600730468494194070828968033243397880956979774128467482267328075554585213578418244163 has 188 digits

GMP-ECM 6.4.4

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

2428989995597455632979611665224453856780677384585022240439647189203139469569309711405626148077302606609889025519576141245768243992045057764418332801991771796389913619043281565484052162560155455359718237160510695146574365046833963352613441423388137420109<253>

265873649301496070870765989842227930618513112116579464123142885420154377840353196277461105991261732498306428514347285964716994007976639093038957674965969187393646542280677722472601771553752682678719545134468357435035375337<222>

54930937276889247251221408487880451234643038072350956591624595588808186086890293506336492893965182218551291315289833569986341450781893897742231178367751280150105466599115132660232022032624116727008086654580802666118617591<221>

3163998047910101765049794798959819<34>
17361242467634415021486222941311063076862537465851537968155582707214813711103665014107914598484758990177109431357744593421967972642745661279227254756121369330823649274797871981562602192389<188>

Run 8 out of 610:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3989661915
Step 1 took 84017ms
Step 2 took 24883ms
********** Factor found in step 2: 3163998047910101765049794798959819
Found probable prime factor of 34 digits: 3163998047910101765049794798959819
Probable prime cofactor 17361242467634415021486222941311063076862537465851537968155582707214813711103665014107914598484758990177109431357744593421967972642745661279227254756121369330823649274797871981562602192389 has 188 digits

GMP-ECM 6.4.4

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

59259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257<260>

2941204887575052414787376350198780376316236337247724739360377225827961345801545082309523797001768429263473059893176148119871655265456991753507909663620644070896923026071551267839843815279079616675448556855222032651904259635804299758689<235>

3939619095654871908472424098722180303299909588773523910232900045607970127869849180694054389619212857783442907720501119867800534384345811280976269990092440840356129656971697990160557710522648911823407800090513062467<214>

4276413179629164474945783581019417526833487<43>

921243792443016891540393166526247920522723920975281616126295913015653358818377946002669988118186458469458141124629852769781006177759656467076070982219143300136030599758541<171>

GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 23 08:00:37 2023
Input number is 3939619095654871908472424098722180303299909588773523910232900045607970127869849180694054389619212857783442907720501119867800534384345811280976269990092440840356129656971697990160557710522648911823407800090513062467 (214 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 10368MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20        25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms
Computing F from factored S_1 took 98239ms
Computing h took 12216ms
Computing DCT-I of h took 28497ms
Multi-point evaluation 1 of 5:
Computing g_i took 41549ms
Computing g*h took 57027ms
Computing gcd of coefficients and N took 14936ms
Step 2 took 253854ms
********** Factor found in step 2: 4276413179629164474945783581019417526833487
Found prime factor of 43 digits: 4276413179629164474945783581019417526833487
Composite cofactor 921243792443016891540393166526247920522723920975281616126295913015653358818377946002669988118186458469458141124629852769781006177759656467076070982219143300136030599758541 has 171 digits
Peak memory usage: 10335MB

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

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89975876995960242228014874628627567<35>

3603115132162798320667038914971586491131517916442761761958443702014610104329745117622775072362924348566032068193220689073015184185448394912127623352594827589020795583632982977346698514663116482042269279601473313434073<217>

Run 205 out of 610:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3784341758
Step 1 took 109009ms
Step 2 took 29240ms
********** Factor found in step 2: 89975876995960242228014874628627567
Found probable prime factor of 35 digits: 89975876995960242228014874628627567
Composite cofactor 3603115132162798320667038914971586491131517916442761761958443702014610104329745117622775072362924348566032068193220689073015184185448394912127623352594827589020795583632982977346698514663116482042269279601473313434073 has 217 digits

GMP-ECM 6.4.4

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

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