7572267971925880781094517844222788058246527492006759130638750213193534517648005235215109193913<94>

473755973482677914291347623099642100603<39>
15983477561793208607093630496325319497714439131327943771<56>

Number: 54441_102
N=7572267971925880781094517844222788058246527492006759130638750213193534517648005235215109193913
  ( 94 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=473755973482677914291347623099642100603 (pp39)
 r2=15983477561793208607093630496325319497714439131327943771 (pp56)
Version: GGNFS-0.77.1-20060722-prescott
Total time: 0.66 hours.
Scaled time: 1.07 units (timescale=1.608).
Factorization parameters were as follows:
n: 7572267971925880781094517844222788058246527492006759130638750213193534517648005235215109193913
m: 50000000000000000000000000
deg: 4
c4: 196
c0: -775
skew: 1.41
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2

Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [195000, 275001)
Primes: RFBsize:33067, AFBsize:33072, largePrimes:1135645 encountered
Relations: rels:1107071, finalFF:140559
Max relations in full relation-set: 32
Initial matrix: 66207 x 140559 with sparse part having weight 5846477.
Pruned matrix : 43382 x 43777 with weight 1352172.
Total sieving time: 0.63 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,20000
total time: 0.66 hours.
 --------- CPU info (if available) ----------
[    0.371529] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.10 BogoMIPS (lpj=8800216)
[    0.004000] Calibrating delay using timer specific routine.. 4400.41 BogoMIPS (lpj=8800821)
[    0.460049] Total of 2 processors activated (8800.51 BogoMIPS).

GGNFS via factLat.pl

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

10493368377817271347115806055703917115117200333973420452515559643189386533008085084441860317566670655153157<107>

22217334636516340591183544712573576415815305878084841<53>
472305456504688210183240694188825900424928109872524477<54>

Number: 54441_114
N=10493368377817271347115806055703917115117200333973420452515559643189386533008085084441860317566670655153157
  ( 107 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=22217334636516340591183544712573576415815305878084841 (pp53)
 r2=472305456504688210183240694188825900424928109872524477 (pp54)
Version: Msieve-1.39
Total time: 0.96 hours.
Scaled time: 2.48 units (timescale=2.571).
Factorization parameters were as follows:
n: 10493368377817271347115806055703917115117200333973420452515559643189386533008085084441860317566670655153157
m: 100000000000000000000000
deg: 5
c5: 49
c0: -310
skew: 1.45
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 510001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 75195 x 75435
Total sieving time: 0.96 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 0.96 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<118>

154246452441159111248982572678667916573<39>
35297048057045941607042149181609332851433750679475844777668550528971140848239917<80>

Number: 54441_117
N=5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
  ( 118 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=154246452441159111248982572678667916573 (pp39)
 r2=35297048057045941607042149181609332851433750679475844777668550528971140848239917 (pp80)
Version: Msieve-1.39
Total time: 1.25 hours.
Scaled time: 3.21 units (timescale=2.571).
Factorization parameters were as follows:
n: 5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 200000000000000000000000
deg: 5
c5: 1225
c0: -248
skew: 0.73
type: snfs
lss: 1
rlim: 690000
alim: 690000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 690000/690000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [345000, 595001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74942 x 75178
Total sieving time: 1.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119,5,0,0,0,0,0,0,0,0,690000,690000,25,25,45,45,2.2,2.2,50000
total time: 1.25 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

595123429874620488877865745522476530609183767447333792987237966698374600102864048509798178949024411125062504660029<114>

536245068924591737124655246514569309654380430554957439<54>
1109797486936534216431504198518455998801702013987553663743811<61>

Number: 54441_120
N=595123429874620488877865745522476530609183767447333792987237966698374600102864048509798178949024411125062504660029
  ( 114 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=536245068924591737124655246514569309654380430554957439
 r2=1109797486936534216431504198518455998801702013987553663743811
Version: 
Total time: 2.27 hours.
Scaled time: 1.79 units (timescale=0.789).
Factorization parameters were as follows:
n: 595123429874620488877865745522476530609183767447333792987237966698374600102864048509798178949024411125062504660029
m: 1000000000000000000000000
deg: 5
c5: 49
c0: -31
skew: 0.91
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 625001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80161 x 80380
Total sieving time: 2.27 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 2.27 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

36205498621004982089560554169086346790384341114722758168707702248023354316750849491695159397<92>

36277844381237430670455147233624365514761<41>
998005786686987798358882485633772896334040422474877<51>

Number: 54441_121
N=36205498621004982089560554169086346790384341114722758168707702248023354316750849491695159397
  ( 92 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=36277844381237430670455147233624365514761 (pp41)
 r2=998005786686987798358882485633772896334040422474877 (pp51)
Version: GGNFS-0.77.1-20060722-prescott
Total time: 2.30 hours.
Scaled time: 3.65 units (timescale=1.587).
Factorization parameters were as follows:
n: 36205498621004982089560554169086346790384341114722758168707702248023354316750849491695159397
m: 1000000000000000000000000
deg: 5
c5: 490
c0: -31
skew: 0.58
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2

Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 690001)
Primes: RFBsize:62468, AFBsize:62381, largePrimes:1358161 encountered
Relations: rels:1333530, finalFF:152464
Max relations in full relation-set: 32
Initial matrix: 124915 x 152464 with sparse part having weight 7336245.
Pruned matrix : 112805 x 113493 with weight 4186936.
Total sieving time: 2.17 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 2.30 hours.
 --------- CPU info (if available) ----------
[    0.371529] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.10 BogoMIPS (lpj=8800216)
[    0.004000] Calibrating delay using timer specific routine.. 4400.41 BogoMIPS (lpj=8800821)
[    0.460049] Total of 2 processors activated (8800.51 BogoMIPS).

GGNFS via factLat.pl

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

121799652000994282873477504349987571464081531195625155356698980860054685558041262739249316430524484215759383544618443947303<123>

3678469373978815613162658522544463360181425083<46>
33111503622293235320810964516155255520009807603765550297505951353818595518341<77>

Number: 54441_124
N=121799652000994282873477504349987571464081531195625155356698980860054685558041262739249316430524484215759383544618443947303
  ( 123 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=3678469373978815613162658522544463360181425083 (pp46)
 r2=33111503622293235320810964516155255520009807603765550297505951353818595518341 (pp77)
Version: Msieve-1.39
Total time: 1.91 hours.
Scaled time: 4.88 units (timescale=2.560).
Factorization parameters were as follows:
n: 121799652000994282873477504349987571464081531195625155356698980860054685558041262739249316430524484215759383544618443947303
m: 10000000000000000000000000
deg: 5
c5: 49
c0: -310
skew: 1.45
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 135026 x 135274
Total sieving time: 1.91 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 1.91 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

113309673744946918369078305215256276714041773591243698665463621421495132893957196327768571317221481704029<105>

1025115644707967819539554614441428582207<40>
110533552316652305766096265640112667609906689555884231601589422947<66>

Number: 54441_125
N=113309673744946918369078305215256276714041773591243698665463621421495132893957196327768571317221481704029
  ( 105 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1025115644707967819539554614441428582207 (pp40)
 r2=110533552316652305766096265640112667609906689555884231601589422947 (pp66)
Version: Msieve-1.39
Total time: 1.87 hours.
Scaled time: 4.82 units (timescale=2.571).
Factorization parameters were as follows:
n: 113309673744946918369078305215256276714041773591243698665463621421495132893957196327768571317221481704029
m: 10000000000000000000000000
deg: 5
c5: 49
c0: -31
skew: 0.91
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112522 x 112770
Total sieving time: 1.87 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 1.87 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

18148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<128>

212686756056207820346328747855854527191863<42>
85328059370805598805282609306653258989436996598344573461264897015482912785725445799269<86>

Number: 54441_127
N=18148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
  ( 128 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=212686756056207820346328747855854527191863
 r2=85328059370805598805282609306653258989436996598344573461264897015482912785725445799269
Version: 
Total time: 3.09 hours.
Scaled time: 3.10 units (timescale=1.003).
Factorization parameters were as follows:
n: 18148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
m: 20000000000000000000000000
deg: 5
c5: 1225
c0: -248
skew: 0.73
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 135042 x 135285
Total sieving time: 3.09 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 3.09 hours.
 --------- CPU info (if available) ----------

2948670878569275337440589887212647142554801661452814756709502398448268894092307014198822999294104956368884068184401507<118>

334785113105198068383674639652573199<36>
2656934680962281058637638782134286920741<40>
3314967576878842350279855338342491270012073<43>

Number: 54441_128
N=2948670878569275337440589887212647142554801661452814756709502398448268894092307014198822999294104956368884068184401507
  ( 118 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=334785113105198068383674639652573199 (pp36)
 r2=2656934680962281058637638782134286920741 (pp40)
 r3=3314967576878842350279855338342491270012073 (pp43)
Version: Msieve-1.40
Total time: 4.04 hours.
Scaled time: 6.58 units (timescale=1.630).
Factorization parameters were as follows:
n: 2948670878569275337440589887212647142554801661452814756709502398448268894092307014198822999294104956368884068184401507
m: 50000000000000000000000000
deg: 5
c5: 392
c0: -775
skew: 1.15
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1035001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159940 x 160188
Total sieving time: 4.04 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 4.04 hours.
 --------- CPU info (if available) ----------
[    0.371529] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.10 BogoMIPS (lpj=8800216)
[    0.004000] Calibrating delay using timer specific routine.. 4400.41 BogoMIPS (lpj=8800821)
[    0.460049] Total of 2 processors activated (8800.51 BogoMIPS).

GGNFS (sieving) + msieve v1.40beta2 (postprocessing) via factMsieve.pl

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

1319464114793195299715358693826383356772564901259144652368208640721475989621654185864368906977656604154533991830703197<118>

7162696482730668159103867263627691<34>
184213322171955253139200172783060241904468670066761404841591156427180089235354386967<84>

Number: 54441_129
N=1319464114793195299715358693826383356772564901259144652368208640721475989621654185864368906977656604154533991830703197
  ( 118 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=7162696482730668159103867263627691 (pp34)
 r2=184213322171955253139200172783060241904468670066761404841591156427180089235354386967 (pp84)
Version: Msieve-1.40
Total time: 3.93 hours.
Scaled time: 6.40 units (timescale=1.631).
Factorization parameters were as follows:
n: 1319464114793195299715358693826383356772564901259144652368208640721475989621654185864368906977656604154533991830703197
m: 100000000000000000000000000
deg: 5
c5: 49
c0: -310
skew: 1.45
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167913 x 168161
Total sieving time: 3.93 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 3.93 hours.
 --------- CPU info (if available) ----------
[    0.371529] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.10 BogoMIPS (lpj=8800216)
[    0.004000] Calibrating delay using timer specific routine.. 4400.41 BogoMIPS (lpj=8800821)
[    0.460049] Total of 2 processors activated (8800.51 BogoMIPS).

GGNFS (sieving) + msieve v1.40beta2 (postprocessing) via factMsieve.pl

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

2016460905349794238683127572016460905349794238683127572016460905349794238683127572016460905349794238683127572016460905349794238683<130>

3485194438046429071043711780795569694241101<43>
578579170027623963886718225384340201589963557785325638183886905382835163611758103197383<87>

Number: 54441_130
N=2016460905349794238683127572016460905349794238683127572016460905349794238683127572016460905349794238683127572016460905349794238683
  ( 130 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=3485194438046429071043711780795569694241101 (pp43)
 r2=578579170027623963886718225384340201589963557785325638183886905382835163611758103197383 (pp87)
Version: Msieve-1.39
Total time: 2.36 hours.
Scaled time: 6.06 units (timescale=2.571).
Factorization parameters were as follows:
n: 2016460905349794238683127572016460905349794238683127572016460905349794238683127572016460905349794238683127572016460905349794238683
m: 100000000000000000000000000
deg: 5
c5: 49
c0: -31
skew: 0.91
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 146156 x 146404
Total sieving time: 2.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.36 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

8722511090267028359167642705465348623623120554971794762786759770704907991910292127174579618889562976309<103>

917343383904947349456475388877809429569624434029<48>
9508447156545723192298461689453019352567992309220057321<55>

Number: 54441_132
N=8722511090267028359167642705465348623623120554971794762786759770704907991910292127174579618889562976309
  ( 103 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=917343383904947349456475388877809429569624434029 (pp48)
 r2=9508447156545723192298461689453019352567992309220057321 (pp55)
Version: Msieve-1.39
Total time: 3.04 hours.
Scaled time: 7.78 units (timescale=2.560).
Factorization parameters were as follows:
n: 8722511090267028359167642705465348623623120554971794762786759770704907991910292127174579618889562976309
m: 200000000000000000000000000
deg: 5
c5: 1225
c0: -248
skew: 0.73
type: snfs
lss: 1
rlim: 1230000
alim: 1230000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1230000/1230000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [615000, 1140001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 190721 x 190969
Total sieving time: 3.04 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1230000,1230000,26,26,47,47,2.3,2.3,75000
total time: 3.04 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

184159989988436751284098864909748148247159686498319580194690128173802880240238878989653752145126879903<102>

18667939549767870850524668531<29>

9865041050592362501661952318539719039996375986698139725961087645621119013<73>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1100200419
Step 1 took 5688ms
Step 2 took 6513ms
********** Factor found in step 2: 18667939549767870850524668531
Found probable prime factor of 29 digits: 18667939549767870850524668531
Composite cofactor has 73 digits

GMP-ECM 6.2.2

3263745208180007214729459399101391881242230962552165253868053894917788151729797936352756748668504970693143<106>

750377221650197702999288202630635030091562231<45>
4349472657235673314417701685009106480893148418132764187177953<61>

Number: 54441_139
N=3263745208180007214729459399101391881242230962552165253868053894917788151729797936352756748668504970693143
  ( 106 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=750377221650197702999288202630635030091562231 (pp45)
 r2=4349472657235673314417701685009106480893148418132764187177953 (pp61)
Version: Msieve-1.39
Total time: 6.53 hours.
Scaled time: 16.72 units (timescale=2.560).
Factorization parameters were as follows:
n: 3263745208180007214729459399101391881242230962552165253868053894917788151729797936352756748668504970693143
m: 10000000000000000000000000000
deg: 5
c5: 49
c0: -310
skew: 1.45
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1905001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 254680 x 254928
Total sieving time: 6.53 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 6.53 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

635501272483317646192623949232245073819008743834263346476971567061448712480937188483427830079004753214351885168903<114>

1716464456102413811533728553420001764417351<43>
370238527354276951849469480548758543807489129866387577784804649042444353<72>

Number: 54441_142
N=635501272483317646192623949232245073819008743834263346476971567061448712480937188483427830079004753214351885168903
  ( 114 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=1716464456102413811533728553420001764417351 (pp43)
 r2=370238527354276951849469480548758543807489129866387577784804649042444353 (pp72)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 17.43 hours.
Scaled time: 8.25 units (timescale=0.473).
Factorization parameters were as follows:
name: 54441_142
n: 635501272483317646192623949232245073819008743834263346476971567061448712480937188483427830079004753214351885168903
m: 20000000000000000000000000000
deg: 5
c5: 1225
c0: -248
skew: 0.73
type: snfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 2300001)
Primes: RFBsize:135072, AFBsize:135069, largePrimes:3971918 encountered
Relations: rels:4090853, finalFF:368042
Max relations in full relation-set: 28
Initial matrix: 270206 x 368042 with sparse part having weight 36737791.
Pruned matrix : 237779 x 239194 with weight 21727203.
Total sieving time: 15.54 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.60 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,49,49,2.3,2.3,100000
total time: 17.43 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

256059051347137664296684943791344848347371374573110192549585933050014669914539392291032586449386941150008047188499711186917<123>

3257882588377989083926255526466788253796211702624682169<55>
78596770878296901617141918915241683753362330196819502016865089290893<68>

Number: 54441_144
N=256059051347137664296684943791344848347371374573110192549585933050014669914539392291032586449386941150008047188499711186917
  ( 123 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=3257882588377989083926255526466788253796211702624682169 (pp55)
 r2=78596770878296901617141918915241683753362330196819502016865089290893 (pp68)
Version: Msieve-1.39
Total time: 9.85 hours.
Scaled time: 25.32 units (timescale=2.571).
Factorization parameters were as follows:
n: 256059051347137664296684943791344848347371374573110192549585933050014669914539392291032586449386941150008047188499711186917
m: 100000000000000000000000000000
deg: 5
c5: 49
c0: -310
skew: 1.45
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 2575001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 330263 x 330511
Total sieving time: 9.85 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 9.85 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

274357160264015792942527616510918476292414957531453870300145327758573457549272898173619674737<93>

434960582530030125624174611913048830633<39>
630763272083566084158310359068270763055519969092874889<54>

03/21/09 00:53:21 v1.07 @ Core2Duo, starting SIQS on c93: 274357160264015792942527616510918476292414957531453870300145327758573457549272898173619674737
03/21/09 00:53:21 v1.07 @ Core2Duo, random seeds: 1948697553, 1062661827
03/21/09 00:53:21 v1.07 @ Core2Duo, ==== sieve params ====
03/21/09 00:53:21 v1.07 @ Core2Duo, n = 93 digits, 314 bits
03/21/09 00:53:21 v1.07 @ Core2Duo, factor base: 76080 primes (max prime = 2050033)
03/21/09 00:53:21 v1.07 @ Core2Duo, single large prime cutoff: 246003960 (120 * pmax)
03/21/09 00:53:21 v1.07 @ Core2Duo, double large prime range from 43 to 51 bits
03/21/09 00:53:21 v1.07 @ Core2Duo, double large prime cutoff: 1269684379467337
03/21/09 00:53:21 v1.07 @ Core2Duo, using 5 large prime slices of factor base
03/21/09 00:53:21 v1.07 @ Core2Duo, buckets hold 2048 elements
03/21/09 00:53:21 v1.07 @ Core2Duo, sieve interval: 22 blocks of size 32768
03/21/09 00:53:21 v1.07 @ Core2Duo, polynomial A has ~ 12 factors
03/21/09 00:53:21 v1.07 @ Core2Duo, using multiplier of 73
03/21/09 00:53:21 v1.07 @ Core2Duo, using small prime variation correction of 23 bits
03/21/09 00:53:21 v1.07 @ Core2Duo, using x128 sieve scanning
03/21/09 00:53:21 v1.07 @ Core2Duo, trial factoring cutoff at 98 bits
03/21/09 00:53:21 v1.07 @ Core2Duo, ==== sieving started ====
03/21/09 02:55:00 v1.07 @ Core2Duo, sieve time = 2128.9600, relation time = 1238.0100, poly_time = 2958.2200
03/21/09 02:55:00 v1.07 @ Core2Duo, 76157 relations found: 20962 full + 55195 from 959290 partial, using 664939 polys (324 A polys)
03/21/09 02:55:00 v1.07 @ Core2Duo, trial division touched 46556240 sieve locations out of 958703730688
03/21/09 02:55:00 v1.07 @ Core2Duo, ==== post processing stage (msieve-1.38) ====
03/21/09 02:55:01 v1.07 @ Core2Duo, begin with 980252 relations
03/21/09 02:55:02 v1.07 @ Core2Duo, reduce to 183836 relations in 9 passes
03/21/09 02:55:02 v1.07 @ Core2Duo, failed to read relation 27535
03/21/09 02:55:06 v1.07 @ Core2Duo, recovered 183835 relations
03/21/09 02:55:06 v1.07 @ Core2Duo, recovered 160637 polynomials
03/21/09 02:55:06 v1.07 @ Core2Duo, attempting to build 76156 cycles
03/21/09 02:55:06 v1.07 @ Core2Duo, found 76156 cycles in 6 passes
03/21/09 02:55:06 v1.07 @ Core2Duo, distribution of cycle lengths:
03/21/09 02:55:06 v1.07 @ Core2Duo,    length 1 : 20962
03/21/09 02:55:06 v1.07 @ Core2Duo,    length 2 : 15209
03/21/09 02:55:06 v1.07 @ Core2Duo,    length 3 : 13707
03/21/09 02:55:06 v1.07 @ Core2Duo,    length 4 : 10124
03/21/09 02:55:06 v1.07 @ Core2Duo,    length 5 : 6651
03/21/09 02:55:06 v1.07 @ Core2Duo,    length 6 : 4256
03/21/09 02:55:06 v1.07 @ Core2Duo,    length 7 : 2395
03/21/09 02:55:06 v1.07 @ Core2Duo,    length 9+: 2852
03/21/09 02:55:06 v1.07 @ Core2Duo, largest cycle: 21 relations
03/21/09 02:55:06 v1.07 @ Core2Duo, matrix is 76080 x 76156 (18.8 MB) with weight 4623885 (60.72/col)
03/21/09 02:55:06 v1.07 @ Core2Duo, sparse part has weight 4623885 (60.72/col)
03/21/09 02:55:07 v1.07 @ Core2Duo, filtering completed in 3 passes
03/21/09 02:55:07 v1.07 @ Core2Duo, matrix is 71114 x 71178 (17.8 MB) with weight 4370124 (61.40/col)
03/21/09 02:55:07 v1.07 @ Core2Duo, sparse part has weight 4370124 (61.40/col)
03/21/09 02:55:07 v1.07 @ Core2Duo, saving the first 48 matrix rows for later
03/21/09 02:55:07 v1.07 @ Core2Duo, matrix is 71066 x 71178 (11.9 MB) with weight 3488332 (49.01/col)
03/21/09 02:55:07 v1.07 @ Core2Duo, sparse part has weight 2684687 (37.72/col)
03/21/09 02:55:07 v1.07 @ Core2Duo, matrix includes 64 packed rows
03/21/09 02:55:07 v1.07 @ Core2Duo, using block size 28471 for processor cache size 2048 kB
03/21/09 02:55:08 v1.07 @ Core2Duo, commencing Lanczos iteration
03/21/09 02:55:08 v1.07 @ Core2Duo, memory use: 11.2 MB
03/21/09 02:55:37 v1.07 @ Core2Duo, lanczos halted after 1125 iterations (dim = 71065)
03/21/09 02:55:37 v1.07 @ Core2Duo, recovered 17 nontrivial dependencies
03/21/09 02:55:38 v1.07 @ Core2Duo, prp54 = 630763272083566084158310359068270763055519969092874889
03/21/09 02:55:40 v1.07 @ Core2Duo, prp39 = 434960582530030125624174611913048830633
03/21/09 02:55:40 v1.07 @ Core2Duo, Lanczos elapsed time = 34.4500 seconds.
03/21/09 02:55:40 v1.07 @ Core2Duo, Sqrt elapsed time = 2.8200 seconds.
03/21/09 02:55:40 v1.07 @ Core2Duo, SIQS elapsed time = 2099.7127 seconds.
03/21/09 02:55:40 v1.07 @ Core2Duo, 
03/21/09 02:55:40 v1.07 @ Core2Duo, 
03/21/09 02:55:40 v1.07 @ Core2Duo, Total factoring time = 2106.7827 seconds

Yafu v1.07

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

846725419042681873163988249524796958700535683428373941593226196647658545014688094003801624330395714532573008467254190426818731639882495247969587<144>

3042106189827290624120844036782865833<37>
278335260575092870871504582135628218174720978379908946178727055375423453765822803874949132681646831312143739<108>

Number: 54441_146
N=846725419042681873163988249524796958700535683428373941593226196647658545014688094003801624330395714532573008467254190426818731639882495247969587
  ( 144 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=3042106189827290624120844036782865833 (pp37)
 r2=278335260575092870871504582135628218174720978379908946178727055375423453765822803874949132681646831312143739 (pp108)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 17.67 hours.
Scaled time: 45.31 units (timescale=2.564).
Factorization parameters were as follows:
name:54441_146
n: 846725419042681873163988249524796958700535683428373941593226196647658545014688094003801624330395714532573008467254190426818731639882495247969587
m: 100000000000000000000000000000
deg: 5
c5: 490
c0: -31
skew: 0.58
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1000000, 2700001)
Primes: RFBsize:148933, AFBsize:149076, largePrimes:4248112 encountered
Relations: rels:4418526, finalFF:360963
Max relations in full relation-set: 28
Initial matrix: 298075 x 360963 with sparse part having weight 39507402.
Pruned matrix : 276783 x 278337 with weight 28392277.
Total sieving time: 16.91 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 17.67 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

122932058165638761226488241379896999017363022195995159595839729811725901694163162728063867754278449558440225991842299963<120>

41174538329149687535593202758980475987623219157<47>
2985632945849170426739484835964697951250750532381210173726652975197022159<73>

Number: 54441_148
N=122932058165638761226488241379896999017363022195995159595839729811725901694163162728063867754278449558440225991842299963
  ( 120 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=41174538329149687535593202758980475987623219157 (pp47)
 r2=2985632945849170426739484835964697951250750532381210173726652975197022159 (pp73)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 24.50 hours.
Scaled time: 63.09 units (timescale=2.575).
Factorization parameters were as follows:
name: 54441_148
n: 122932058165638761226488241379896999017363022195995159595839729811725901694163162728063867754278449558440225991842299963
m: 500000000000000000000000000000
deg: 5
c5: 392
c0: -775
skew: 1.15
type: snfs
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 2050001)
Primes: RFBsize:169511, AFBsize:169652, largePrimes:7433177 encountered
Relations: rels:7869366, finalFF:804921
Max relations in full relation-set: 28
Initial matrix: 339228 x 804921 with sparse part having weight 96545322.
Pruned matrix : 240416 x 242176 with weight 52494306.
Total sieving time: 23.51 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 24.50 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

291609190314880817618579760477553066552329881899773875289977893723653566933468795197023008294377682242284847777615153600283937478648627<135>

286120041668600745533526907489500541024577<42>
1019184775083452183488830452860126346217069699358811608060108774820628340331919578837659937651<94>

Number: 54441_151
N=291609190314880817618579760477553066552329881899773875289977893723653566933468795197023008294377682242284847777615153600283937478648627
  ( 135 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=286120041668600745533526907489500541024577 (pp42)
 r2=1019184775083452183488830452860126346217069699358811608060108774820628340331919578837659937651 (pp94)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 33.36 hours.
Scaled time: 85.21 units (timescale=2.554).
Factorization parameters were as follows:
name: 54441_151
n: 291609190314880817618579760477553066552329881899773875289977893723653566933468795197023008294377682242284847777615153600283937478648627
m: 1000000000000000000000000000000
deg: 5
c5: 490
c0: -31
skew: 0.58
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2150001)
Primes: RFBsize:183072, AFBsize:183427, largePrimes:8957809 encountered
Relations: rels:10343365, finalFF:1581511
Max relations in full relation-set: 28
Initial matrix: 366565 x 1581511 with sparse part having weight 194579687.
Pruned matrix : 248031 x 249927 with weight 42723486.
Total sieving time: 32.29 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.81 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 33.36 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

27223097031397799284174046744524226705503427611550886184019106857735579399368041619074917281695059112354334120915102048411539467521<131>

812352607758978810286632150707<30>
33511429361318384365714365555561437168521607903032200299203243906271811241705138132135209592480782203<101>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1803878505
Step 1 took 6969ms
Step 2 took 7556ms
********** Factor found in step 2: 812352607758978810286632150707
Found probable prime factor of 30 digits: 812352607758978810286632150707
Probable prime cofactor  has 101 digits

GMP-ECM 6.2.2

329362811538880876264678501528828568657641134853390701452092814222508899613385664136922998389952914608381833065998613488766123807721493968445713104287<150>

1923220060004563723065726411371<31>
171255915216534977122827386763108934627093798220839334994149913976056197515328298881509804914207268712955084143436490397<120>

Number: 54441_157
N=329362811538880876264678501528828568657641134853390701452092814222508899613385664136922998389952914608381833065998613488766123807721493968445713104287
  ( 150 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=1923220060004563723065726411371 (pp31)
 r2=171255915216534977122827386763108934627093798220839334994149913976056197515328298881509804914207268712955084143436490397 (pp120)
Version: Msieve-1.39
Total time: 24.52 hours.
Scaled time: 62.77 units (timescale=2.560).
Factorization parameters were as follows:
n: 329362811538880876264678501528828568657641134853390701452092814222508899613385664136922998389952914608381833065998613488766123807721493968445713104287
m: 20000000000000000000000000000000
deg: 5
c5: 1225
c0: -248
skew: 0.73
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 608559 x 608807
Total sieving time: 24.52 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 24.52 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

98121002396362140147876046516105890668748182387245599073687682895032770426853914253252119806488821693256356417565016168442322595430837873317023<143>

338983214914643563511308571161310372441779<42>
289456816972690351532668866002715672964035429516916062876460836624896725733021164280118302721885812837<102>

Number: n
N=98121002396362140147876046516105890668748182387245599073687682895032770426853914253252119806488821693256356417565016168442322595430837873317023
  ( 143 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sat Mar 28 03:48:39 2009  prp42 factor: 338983214914643563511308571161310372441779
Sat Mar 28 03:48:39 2009  prp102 factor: 289456816972690351532668866002715672964035429516916062876460836624896725733021164280118302721885812837
Sat Mar 28 03:48:39 2009  elapsed time 01:18:48 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 30.21 hours.
Scaled time: 59.06 units (timescale=1.955).
Factorization parameters were as follows:
name: KA_5_4_157_1
n: 98121002396362140147876046516105890668748182387245599073687682895032770426853914253252119806488821693256356417565016168442322595430837873317023
skew: 2.29
deg: 5
c5: 49
c0: -3100
m: 100000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10000000
)
Primes: RFBsize:315948, AFBsize:316122, largePrimes:15660913 encountered
Relations: rels:15286806, finalFF:766542
Max relations in full relation-set: 28
Initial matrix: 632134 x 766542 with sparse part having weight 79728896.
Pruned matrix : 555964 x 559188 with weight 59562732.

Msieve: found 1378570 hash collisions in 16322804 relations
Msieve: matrix is 666431 x 666679 (176.6 MB)

Total sieving time: 29.43 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 0.30 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.4,2.4,100000
total time: 30.21 hours.
 --------- CPU info (if available) ----------

5847475653589482742496899192309564306665185208063887360339104592368359867530932457634445089863133120559<103>

1286968891444224528016148245727<31>
827600391338879236747200546595124171<36>
5490092802033096484410654870220759027<37>

Sat Mar 21 15:17:17 2009  Msieve v. 1.39
Sat Mar 21 15:17:17 2009  random seeds: 58f44c04 9e64a594
Sat Mar 21 15:17:17 2009  factoring 5847475653589482742496899192309564306665185208063887360339104592368359867530932457634445089863133120559 (103 digits)
Sat Mar 21 15:17:18 2009  searching for 15-digit factors
Sat Mar 21 15:17:19 2009  commencing quadratic sieve (103-digit input)
Sat Mar 21 15:17:20 2009  using multiplier of 1
Sat Mar 21 15:17:20 2009  using 32kb Intel Core sieve core
Sat Mar 21 15:17:20 2009  sieve interval: 36 blocks of size 32768
Sat Mar 21 15:17:20 2009  processing polynomials in batches of 6
Sat Mar 21 15:17:20 2009  using a sieve bound of 3499337 (124945 primes)
Sat Mar 21 15:17:20 2009  using large prime bound of 524900550 (28 bits)
Sat Mar 21 15:17:20 2009  using double large prime bound of 4967508683642700 (44-53 bits)
Sat Mar 21 15:17:20 2009  using trial factoring cutoff of 53 bits
Sat Mar 21 15:17:20 2009  polynomial 'A' values have 13 factors
Sun Mar 22 13:17:00 2009  125221 relations (29552 full + 95669 combined from 1877452 partial), need 125041
Sun Mar 22 13:17:02 2009  begin with 1907004 relations
Sun Mar 22 13:17:05 2009  reduce to 331621 relations in 12 passes
Sun Mar 22 13:17:05 2009  attempting to read 331621 relations
Sun Mar 22 13:17:11 2009  recovered 331621 relations
Sun Mar 22 13:17:11 2009  recovered 323390 polynomials
Sun Mar 22 13:17:12 2009  attempting to build 125221 cycles
Sun Mar 22 13:17:12 2009  found 125221 cycles in 7 passes
Sun Mar 22 13:17:12 2009  distribution of cycle lengths:
Sun Mar 22 13:17:12 2009     length 1 : 29552
Sun Mar 22 13:17:12 2009     length 2 : 21309
Sun Mar 22 13:17:12 2009     length 3 : 20439
Sun Mar 22 13:17:12 2009     length 4 : 17242
Sun Mar 22 13:17:12 2009     length 5 : 13129
Sun Mar 22 13:17:12 2009     length 6 : 9202
Sun Mar 22 13:17:12 2009     length 7 : 6019
Sun Mar 22 13:17:12 2009     length 9+: 8329
Sun Mar 22 13:17:12 2009  largest cycle: 24 relations
Sun Mar 22 13:17:12 2009  matrix is 124945 x 125221 (37.4 MB) with weight 9296264 (74.24/col)
Sun Mar 22 13:17:12 2009  sparse part has weight 9296264 (74.24/col)
Sun Mar 22 13:17:15 2009  filtering completed in 3 passes
Sun Mar 22 13:17:15 2009  matrix is 120045 x 120109 (36.0 MB) with weight 8961886 (74.61/col)
Sun Mar 22 13:17:15 2009  sparse part has weight 8961886 (74.61/col)
Sun Mar 22 13:17:15 2009  saving the first 48 matrix rows for later
Sun Mar 22 13:17:15 2009  matrix is 119997 x 120109 (26.3 MB) with weight 7548817 (62.85/col)
Sun Mar 22 13:17:15 2009  sparse part has weight 6175038 (51.41/col)
Sun Mar 22 13:17:15 2009  matrix includes 64 packed rows
Sun Mar 22 13:17:15 2009  using block size 43690 for processor cache size 1024 kB
Sun Mar 22 13:17:17 2009  commencing Lanczos iteration
Sun Mar 22 13:17:17 2009  memory use: 23.0 MB
Sun Mar 22 13:19:16 2009  lanczos halted after 1899 iterations (dim = 119995)
Sun Mar 22 13:19:16 2009  recovered 17 nontrivial dependencies
Sun Mar 22 13:19:18 2009  prp31 factor: 1286968891444224528016148245727
Sun Mar 22 13:19:18 2009  prp36 factor: 827600391338879236747200546595124171
Sun Mar 22 13:19:18 2009  prp37 factor: 5490092802033096484410654870220759027
Sun Mar 22 13:19:18 2009  elapsed time 22:02:01

46847773954739148293115346008995526360669585899651036428463200421145076006403340307215453801976038064451718542119702065947<122>

1567737971651068384965094581648394152466087463266918812121997<61>
29882400504340187380633681424970223502423170295790042907585351<62>

Number: 54441_160
N=46847773954739148293115346008995526360669585899651036428463200421145076006403340307215453801976038064451718542119702065947
  ( 122 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1567737971651068384965094581648394152466087463266918812121997 (pp61)
 r2=29882400504340187380633681424970223502423170295790042907585351 (pp62)
Version: Msieve-1.39
Total time: 25.51 hours.
Scaled time: 65.15 units (timescale=2.554).
Factorization parameters were as follows:
n: 46847773954739148293115346008995526360669585899651036428463200421145076006403340307215453801976038064451718542119702065947
m: 100000000000000000000000000000000
deg: 5
c5: 49
c0: -31
skew: 0.91
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 682659 x 682906
Total sieving time: 25.51 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 25.51 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

335829350874675033217001092909629874466816595322856380608747420361731618351359657712279857781403403313118396761620549543<120>

42332905570352079910250248491152463870303006578684797037033<59>
7933056952978764392358391566405953858218810888756092478579471<61>

Sun Apr 05 09:14:00 2009  
Sun Apr 05 09:14:00 2009  
Sun Apr 05 09:14:00 2009  Msieve v. 1.41
Sun Apr 05 09:14:00 2009  random seeds: 4dfce958 7c71a87e
Sun Apr 05 09:14:00 2009  factoring 335829350874675033217001092909629874466816595322856380608747420361731618351359657712279857781403403313118396761620549543 (120 digits)
Sun Apr 05 09:14:01 2009  searching for 15-digit factors
Sun Apr 05 09:14:03 2009  commencing number field sieve (120-digit input)
Sun Apr 05 09:14:03 2009  R0: -124649807631972485453326
Sun Apr 05 09:14:03 2009  R1:  6091932872993
Sun Apr 05 09:14:03 2009  A0: -3902837875525956067279602109515
Sun Apr 05 09:14:03 2009  A1:  281787695888883644122412193
Sun Apr 05 09:14:03 2009  A2:  298129955431666715375
Sun Apr 05 09:14:03 2009  A3: -3716331300607841
Sun Apr 05 09:14:03 2009  A4: -1896684492
Sun Apr 05 09:14:03 2009  A5:  11160
Sun Apr 05 09:14:03 2009  skew 377391.63, size 1.615448e-011, alpha -7.252922, combined = 2.729843e-010
Sun Apr 05 09:14:04 2009  
Sun Apr 05 09:14:04 2009  commencing relation filtering
Sun Apr 05 09:14:04 2009  commencing duplicate removal, pass 1
Sun Apr 05 09:15:44 2009  found 822477 hash collisions in 8818929 relations
Sun Apr 05 09:16:08 2009  added 58983 free relations
Sun Apr 05 09:16:08 2009  commencing duplicate removal, pass 2
Sun Apr 05 09:16:46 2009  found 747915 duplicates and 8129996 unique relations
Sun Apr 05 09:16:46 2009  memory use: 48.6 MB
Sun Apr 05 09:16:46 2009  reading rational ideals above 5570560
Sun Apr 05 09:16:46 2009  reading algebraic ideals above 5570560
Sun Apr 05 09:16:46 2009  commencing singleton removal, pass 1
Sun Apr 05 09:18:19 2009  relations with 0 large ideals: 216641
Sun Apr 05 09:18:19 2009  relations with 1 large ideals: 1421092
Sun Apr 05 09:18:19 2009  relations with 2 large ideals: 3105061
Sun Apr 05 09:18:19 2009  relations with 3 large ideals: 2621118
Sun Apr 05 09:18:19 2009  relations with 4 large ideals: 704509
Sun Apr 05 09:18:19 2009  relations with 5 large ideals: 5859
Sun Apr 05 09:18:19 2009  relations with 6 large ideals: 55716
Sun Apr 05 09:18:19 2009  relations with 7+ large ideals: 0
Sun Apr 05 09:18:19 2009  8129996 relations and about 7649754 large ideals
Sun Apr 05 09:18:19 2009  commencing singleton removal, pass 2
Sun Apr 05 09:19:53 2009  found 3539625 singletons
Sun Apr 05 09:19:53 2009  current dataset: 4590371 relations and about 3452788 large ideals
Sun Apr 05 09:19:53 2009  commencing singleton removal, pass 3
Sun Apr 05 09:20:57 2009  found 702710 singletons
Sun Apr 05 09:20:57 2009  current dataset: 3887661 relations and about 2711027 large ideals
Sun Apr 05 09:20:57 2009  commencing singleton removal, pass 4
Sun Apr 05 09:21:56 2009  found 179345 singletons
Sun Apr 05 09:21:56 2009  current dataset: 3708316 relations and about 2528624 large ideals
Sun Apr 05 09:21:56 2009  commencing singleton removal, final pass
Sun Apr 05 09:22:57 2009  memory use: 66.6 MB
Sun Apr 05 09:22:57 2009  commencing in-memory singleton removal
Sun Apr 05 09:22:58 2009  begin with 3708316 relations and 2663753 unique ideals
Sun Apr 05 09:23:01 2009  reduce to 3341110 relations and 2290421 ideals in 12 passes
Sun Apr 05 09:23:01 2009  max relations containing the same ideal: 19
Sun Apr 05 09:23:02 2009  reading rational ideals above 720000
Sun Apr 05 09:23:02 2009  reading algebraic ideals above 720000
Sun Apr 05 09:23:02 2009  commencing singleton removal, final pass
Sun Apr 05 09:24:08 2009  keeping 2824055 ideals with weight <= 20, new excess is 334702
Sun Apr 05 09:24:13 2009  memory use: 92.0 MB
Sun Apr 05 09:24:13 2009  commencing in-memory singleton removal
Sun Apr 05 09:24:13 2009  begin with 3357964 relations and 2824055 unique ideals
Sun Apr 05 09:24:17 2009  reduce to 3327759 relations and 2712302 ideals in 10 passes
Sun Apr 05 09:24:17 2009  max relations containing the same ideal: 20
Sun Apr 05 09:24:20 2009  removing 636215 relations and 522614 ideals in 113601 cliques
Sun Apr 05 09:24:20 2009  commencing in-memory singleton removal
Sun Apr 05 09:24:20 2009  begin with 2691544 relations and 2712302 unique ideals
Sun Apr 05 09:24:23 2009  reduce to 2620186 relations and 2115568 ideals in 8 passes
Sun Apr 05 09:24:23 2009  max relations containing the same ideal: 20
Sun Apr 05 09:24:25 2009  removing 487715 relations and 374114 ideals in 113601 cliques
Sun Apr 05 09:24:25 2009  commencing in-memory singleton removal
Sun Apr 05 09:24:25 2009  begin with 2132471 relations and 2115568 unique ideals
Sun Apr 05 09:24:27 2009  reduce to 2073625 relations and 1680289 ideals in 8 passes
Sun Apr 05 09:24:27 2009  max relations containing the same ideal: 20
Sun Apr 05 09:24:29 2009  relations with 0 large ideals: 27264
Sun Apr 05 09:24:29 2009  relations with 1 large ideals: 183328
Sun Apr 05 09:24:29 2009  relations with 2 large ideals: 488627
Sun Apr 05 09:24:29 2009  relations with 3 large ideals: 655097
Sun Apr 05 09:24:29 2009  relations with 4 large ideals: 474809
Sun Apr 05 09:24:29 2009  relations with 5 large ideals: 191787
Sun Apr 05 09:24:29 2009  relations with 6 large ideals: 46151
Sun Apr 05 09:24:29 2009  relations with 7+ large ideals: 6562
Sun Apr 05 09:24:29 2009  commencing 2-way merge
Sun Apr 05 09:24:30 2009  reduce to 1314049 relation sets and 920713 unique ideals
Sun Apr 05 09:24:30 2009  commencing full merge
Sun Apr 05 09:24:45 2009  memory use: 71.9 MB
Sun Apr 05 09:24:46 2009  found 643030 cycles, need 586913
Sun Apr 05 09:24:46 2009  weight of 586913 cycles is about 41219723 (70.23/cycle)
Sun Apr 05 09:24:46 2009  distribution of cycle lengths:
Sun Apr 05 09:24:46 2009  1 relations: 61391
Sun Apr 05 09:24:46 2009  2 relations: 61235
Sun Apr 05 09:24:46 2009  3 relations: 63460
Sun Apr 05 09:24:46 2009  4 relations: 60361
Sun Apr 05 09:24:46 2009  5 relations: 57898
Sun Apr 05 09:24:46 2009  6 relations: 51907
Sun Apr 05 09:24:46 2009  7 relations: 47009
Sun Apr 05 09:24:46 2009  8 relations: 41190
Sun Apr 05 09:24:46 2009  9 relations: 35581
Sun Apr 05 09:24:46 2009  10+ relations: 106881
Sun Apr 05 09:24:46 2009  heaviest cycle: 16 relations
Sun Apr 05 09:24:46 2009  commencing cycle optimization
Sun Apr 05 09:24:47 2009  start with 3439931 relations
Sun Apr 05 09:24:56 2009  pruned 115086 relations
Sun Apr 05 09:24:56 2009  memory use: 88.4 MB
Sun Apr 05 09:24:56 2009  distribution of cycle lengths:
Sun Apr 05 09:24:56 2009  1 relations: 61391
Sun Apr 05 09:24:56 2009  2 relations: 63128
Sun Apr 05 09:24:56 2009  3 relations: 66431
Sun Apr 05 09:24:56 2009  4 relations: 62893
Sun Apr 05 09:24:56 2009  5 relations: 60470
Sun Apr 05 09:24:56 2009  6 relations: 53689
Sun Apr 05 09:24:56 2009  7 relations: 48368
Sun Apr 05 09:24:56 2009  8 relations: 41672
Sun Apr 05 09:24:56 2009  9 relations: 35699
Sun Apr 05 09:24:56 2009  10+ relations: 93172
Sun Apr 05 09:24:56 2009  heaviest cycle: 16 relations
Sun Apr 05 09:24:57 2009  RelProcTime: 514
Sun Apr 05 09:24:57 2009  
Sun Apr 05 09:24:57 2009  commencing linear algebra
Sun Apr 05 09:24:57 2009  read 586913 cycles
Sun Apr 05 09:24:58 2009  cycles contain 1811025 unique relations
Sun Apr 05 09:25:25 2009  read 1811025 relations
Sun Apr 05 09:25:28 2009  using 20 quadratic characters above 134212104
Sun Apr 05 09:25:39 2009  building initial matrix
Sun Apr 05 09:26:07 2009  memory use: 208.0 MB
Sun Apr 05 09:26:08 2009  read 586913 cycles
Sun Apr 05 09:26:08 2009  matrix is 586646 x 586913 (167.0 MB) with weight 56007431 (95.43/col)
Sun Apr 05 09:26:08 2009  sparse part has weight 39093231 (66.61/col)
Sun Apr 05 09:26:19 2009  filtering completed in 3 passes
Sun Apr 05 09:26:19 2009  matrix is 584235 x 584435 (166.6 MB) with weight 55838102 (95.54/col)
Sun Apr 05 09:26:19 2009  sparse part has weight 38999914 (66.73/col)
Sun Apr 05 09:26:21 2009  read 584435 cycles
Sun Apr 05 09:26:22 2009  matrix is 584235 x 584435 (166.6 MB) with weight 55838102 (95.54/col)
Sun Apr 05 09:26:22 2009  sparse part has weight 38999914 (66.73/col)
Sun Apr 05 09:26:22 2009  saving the first 48 matrix rows for later
Sun Apr 05 09:26:23 2009  matrix is 584187 x 584435 (159.9 MB) with weight 44285250 (75.77/col)
Sun Apr 05 09:26:23 2009  sparse part has weight 38420102 (65.74/col)
Sun Apr 05 09:26:23 2009  matrix includes 64 packed rows
Sun Apr 05 09:26:23 2009  using block size 65536 for processor cache size 3072 kB
Sun Apr 05 09:26:28 2009  commencing Lanczos iteration
Sun Apr 05 09:26:28 2009  memory use: 156.6 MB
Sun Apr 05 10:16:16 2009  lanczos halted after 9240 iterations (dim = 584187)
Sun Apr 05 10:16:18 2009  recovered 30 nontrivial dependencies
Sun Apr 05 10:16:18 2009  BLanczosTime: 3081
Sun Apr 05 10:16:18 2009  
Sun Apr 05 10:16:18 2009  commencing square root phase
Sun Apr 05 10:16:18 2009  reading relations for dependency 1
Sun Apr 05 10:16:18 2009  read 292523 cycles
Sun Apr 05 10:16:19 2009  cycles contain 1115775 unique relations
Sun Apr 05 10:16:58 2009  read 1115775 relations
Sun Apr 05 10:17:05 2009  multiplying 904932 relations
Sun Apr 05 10:19:17 2009  multiply complete, coefficients have about 39.86 million bits
Sun Apr 05 10:19:18 2009  initial square root is modulo 527981
Sun Apr 05 10:23:19 2009  reading relations for dependency 2
Sun Apr 05 10:23:19 2009  read 292163 cycles
Sun Apr 05 10:23:20 2009  cycles contain 1114875 unique relations
Sun Apr 05 10:23:47 2009  read 1114875 relations
Sun Apr 05 10:23:54 2009  multiplying 903926 relations
Sun Apr 05 10:26:07 2009  multiply complete, coefficients have about 39.81 million bits
Sun Apr 05 10:26:08 2009  initial square root is modulo 519487
Sun Apr 05 10:29:55 2009  sqrtTime: 817
Sun Apr 05 10:29:55 2009  prp59 factor: 42332905570352079910250248491152463870303006578684797037033
Sun Apr 05 10:29:55 2009  prp61 factor: 7933056952978764392358391566405953858218810888756092478579471
Sun Apr 05 10:29:55 2009  elapsed time 01:15:55

Msieve v1.40 for Polynomial search
GGNFS for sieving
and Msieve v1.41 for block Lanzcos

Intel Core 2 Duo T8100
Windows Vista Home Premium 32 bit

76649001562441256983057132920583752272727540399996815081522836182540755572653972704335494117436254992778464429440434061430253553922493067<137>

97242893951521724288182917546832140952424722461682859509<56>
788222135806169106863746019469358535526566092827867970024563598445394794227816063<81>

Number: n
N=76649001562441256983057132920583752272727540399996815081522836182540755572653972704335494117436254992778464429440434061430253553922493067
  ( 137 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Apr 06 04:07:25 2009  prp56 factor: 97242893951521724288182917546832140952424722461682859509
Mon Apr 06 04:07:25 2009  prp81 factor: 788222135806169106863746019469358535526566092827867970024563598445394794227816063
Mon Apr 06 04:07:25 2009  elapsed time 01:20:18 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 45.90 hours.
Scaled time: 122.08 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_4_163_1
n: 76649001562441256983057132920583752272727540399996815081522836182540755572653972704335494117436254992778464429440434061430253553922493067
skew: 1.45
deg: 5
c5: 49
c0: -310
m: 1000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 5304371)
Primes: RFBsize:348513, AFBsize:348872, largePrimes:16463712 encountered
Relations: rels:15664570, finalFF:702248
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1652819 hash collisions in 17291763 relations
Msieve: matrix is 857577 x 857825 (228.7 MB)

Total sieving time: 45.07 hours.
Total relation processing time: 0.83 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 45.90 hours.
 --------- CPU info (if available) ----------

346909116145669572735223242456775929328415676641599180391968991840754028869265295639177767674879404222645028320083319<117>

3634817774191577551868236530631<31>
95440579885143177494526759532437749091043702738081194606442117590125371568906001930449<86>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1236416677
Step 1 took 7152ms
Step 2 took 4841ms
********** Factor found in step 2: 3634817774191577551868236530631
Found probable prime factor of 31 digits: 3634817774191577551868236530631
Probable prime cofactor 95440579885143177494526759532437749091043702738081194606442117590125371568906001930449 has 86 digits

GMP-ECM 6.2.2

9080501291527153329310182888011060692200898215778442269992333543683787238995654416921869042421015785303568332013348628680999<124>

2738071186438710195874120880465381105300462749<46>
3316386124839130067412276341415290040498997690391963192414696202873340504719251<79>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=408812994
Step 1 took 34039ms
Step 2 took 13682ms
********** Factor found in step 2: 2738071186438710195874120880465381105300462749
Found probable prime factor of 46 digits: 2738071186438710195874120880465381105300462749
Probable prime cofactor 3316386124839130067412276341415290040498997690391963192414696202873340504719251 has 79 digits

GMP-ECM 6.2.1

12050146894674839416614937547639641888972823333355169856423488338668835587891338787176147399389518164244476613887<113>

29391527720593538801969447888738177<35>
409987089110436215559923537098846799981853399910166677561191189758960834735231<78>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3128579257
Step 1 took 5816ms
Step 2 took 6796ms
********** Factor found in step 2: 29391527720593538801969447888738177
Found probable prime factor of 35 digits: 29391527720593538801969447888738177
Probable prime cofactor  has 78 digits

GMP-ECM 6.2.2

53980777138449781902663795465980934453425776747350796708496115707652003245333207846637476138009335666563011187390658365151<122>

5931851484368810751905079921740369165257<40>
9100156549889364411984182615500796454801011418152264037858984439499480211034026343<82>

Number: 54441_173
N=53980777138449781902663795465980934453425776747350796708496115707652003245333207846637476138009335666563011187390658365151
  ( 122 digits)
Divisors found:
 r1=5931851484368810751905079921740369165257 (pp40)
 r2=9100156549889364411984182615500796454801011418152264037858984439499480211034026343 (pp82)
Version: Msieve-1.39
Total time: 49.31 hours.
Scaled time: 130.12 units (timescale=2.639).
Factorization parameters were as follows:
# Murphy_E = 2.256858e-10, selected by Jeff Gilchrist
n: 53980777138449781902663795465980934453425776747350796708496115707652003245333207846637476138009335666563011187390658365151
Y0: -323737180325506520777503
Y1: 16149092889517
c0: 427754643269965365750037883136
c1: 71856727713288899503966296
c2: -221173711071066753176
c3: -1988180336202337
c4: 3126697882
c5: 15180
skew: 249593.92
type: gnfs
# selected mechanically
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2950000, 5230001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 804752 x 805000
Total sieving time: 49.31 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,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5900000,5900000,27,27,52,52,2.5,2.5,60000
total time: 49.31 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1737046198973563553288298517343208501224845881561501166704033400412810334825853360965319079928451764596379168686462888718870279231988360561722198518821246031179951<163>

2508835353660493782998160877186447<34>

692371540619093171390162909123379147570748737250003223151326838383471766126792488723605586924405841506786102728814025419564497633<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3921242399
Step 1 took 48354ms
Step 2 took 17287ms
********** Factor found in step 2: 2508835353660493782998160877186447
Found probable prime factor of 34 digits: 2508835353660493782998160877186447
Composite cofactor 692371540619093171390162909123379147570748737250003223151326838383471766126792488723605586924405841506786102728814025419564497633 has 129 digits

GMP-ECM 6.3 [config GMP 5.0.1] [ECM]

C2D 3 GHz, Mac OS X

692371540619093171390162909123379147570748737250003223151326838383471766126792488723605586924405841506786102728814025419564497633<129>

12676901005872907170295444824882910778476787<44>
54616782153487976269790155112888658626321629351125756211266666790776724908906072285659<86>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1739776154
Step 1 took 34616ms
Step 2 took 14474ms
********** Factor found in step 2: 12676901005872907170295444824882910778476787
Found probable prime factor of 44 digits: 12676901005872907170295444824882910778476787
Probable prime cofactor 54616782153487976269790155112888658626321629351125756211266666790776724908906072285659 has 86 digits

GMP-ECM 6.3

168894059933349992782136388712377905044553916894004372981140923219265183441949028997552518514130460117545671174754248917726544254765515268155112087203750330606809066163<168>

412725251411208391599268606133117237233<39>
174090366581607217498745534799010319835879902386875663774934651<63>
2350599259547048265407054632596219058675966517702962332029602981561<67>

Number: n
N=168894059933349992782136388712377905044553916894004372981140923219265183441949028997552518514130460117545671174754248917726544254765515268155112087203750330606809066163
  ( 168 digits)
SNFS difficulty: 178 digits.
Divisors found:

Tue Jan 24 04:35:26 2012  prp39 factor: 412725251411208391599268606133117237233
Tue Jan 24 04:35:26 2012  prp63 factor: 174090366581607217498745534799010319835879902386875663774934651
Tue Jan 24 04:35:26 2012  prp67 factor: 2350599259547048265407054632596219058675966517702962332029602981561
Tue Jan 24 04:35:26 2012  elapsed time 02:33:12 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.628).
Factorization parameters were as follows:
name: KA_54441_177
n: 168894059933349992782136388712377905044553916894004372981140923219265183441949028997552518514130460117545671174754248917726544254765515268155112087203750330606809066163
m: 100000000000000000000000000000000000
deg: 5
c5: 4900
c0: -31
skew: 0.36
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, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7529127 hash collisions in 76000098 relations
Msieve: matrix is 1093389 x 1093636 (303.5 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,178,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

55981868912193112678626290394931406158638518206086373922850289664470840695377527956974026435026945958611187629186017113840124396739666223987182025697985654680365864134586171<173>

146045442760499405659552389937097026656224437<45>
383318149844620878639080484983896380640417103665110889509628206048704384775839787559781304382134945090153916490891423841807796783<129>

N=55981868912193112678626290394931406158638518206086373922850289664470840695377527956974026435026945958611187629186017113840124396739666223987182025697985654680365864134586171
  ( 173 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=146045442760499405659552389937097026656224437 (pp45)
 r2=383318149844620878639080484983896380640417103665110889509628206048704384775839787559781304382134945090153916490891423841807796783 (pp129)
Version: Msieve v. 1.46
Total time:
Scaled time: 32.09 units (timescale=1.865).
Factorization parameters were as follows:
n: 55981868912193112678626290394931406158638518206086373922850289664470840695377527956974026435026945958611187629186017113840124396739666223987182025697985654680365864134586171
m: 100000000000000000000000000000000000
deg: 5
c5: 490000
c0: -31
skew: 0.14
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 12000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1614411 x 1614638
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time:

547832774100757347486457905235106957588495431344393379103473419814224220692658873280781088348997102900267483854245677027460953537467743791993028218580638891576123243525237<171>

14181506955601858977891527236088328710246983<44>

38630081825285646163068530076608890578730212308896129257936846786045788736412815747264974026270720688510241529578278357771306339<128>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2943978461
Step 1 took 95675ms
Step 2 took 47409ms
********** Factor found in step 2: 14181506955601858977891527236088328710246983
Found probable prime factor of 44 digits: 14181506955601858977891527236088328710246983
Composite cofactor 38630081825285646163068530076608890578730212308896129257936846786045788736412815747264974026270720688510241529578278357771306339 has 128 digits

GMP-ECM 6.3

38630081825285646163068530076608890578730212308896129257936846786045788736412815747264974026270720688510241529578278357771306339<128>

7013944788103426824420522992826901374134156372241551<52>
5507611336035514200919584268795338693278366854409890572091477435968850193389<76>

N = 38630081825285646163068530076608890578730212308896129257936846786045788736412815747264974026270720688510241529578278357771306339 (128 digits)
Divisors found:
r1=7013944788103426824420522992826901374134156372241551 (pp52)
r2=5507611336035514200919584268795338693278366854409890572091477435968850193389 (pp76)
Version: Msieve v. 1.48
Total time: 32.99 hours.
Factorization parameters were as follows:
n: 38630081825285646163068530076608890578730212308896129257936846786045788736412815747264974026270720688510241529578278357771306339
Y0: -7350729800834837052259079
Y1: 43715363088289
c0: -179887530308914709814340254354600
c1: 475132517350198075991787520
c2: 538240811175886944364
c3: -1888483060832117
c4: 576387114
c5: 1800
skew: 763328.30 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19239579
Relations: 2156144 relations
Pruned matrix : 1221598 x 1221826
Polynomial selection time: 0.00 hours.
Total sieving time: 30.76 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.87 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 32.99 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

1732330223486689169169786019662533892407923866189836757780594818502318640503894357321475423000954520250853019274367844633689350818185859401465331911<148>

55178778208377023881534406643925294387<38>
31394863745346460857618264383186205646451804389053300159373274074779195028150439211885027746807065939118196253<110>

Using B1=2000000, B2=8559543730, polynomial Dickson(6), sigma=496809927
Step 1 took 4389ms
Step 2 took 4503ms
********** Factor found in step 2: 55178778208377023881534406643925294387
Found probable prime factor of 38 digits: 55178778208377023881534406643925294387
Probable prime cofactor 31394863745346460857618264383186205646451804389053300159373274074779195028150439211885027746807065939118196253 has 110 digits

4184888537206020699913637743262922796487718919084677057649671350890770582978642288423163591684494850521672571028050122674303978878816568665608701<145>

4208828052106807370793583567885588761343091<43>
994312071055313533121237821317640925649335271651847431869187008272867969600435469769410012401963381711<102>

N=4184888537206020699913637743262922796487718919084677057649671350890770582978642288423163591684494850521672571028050122674303978878816568665608701
  ( 145 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=4208828052106807370793583567885588761343091 (pp43)
 r2=994312071055313533121237821317640925649335271651847431869187008272867969600435469769410012401963381711 (pp102)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 164.44 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4184888537206020699913637743262922796487718919084677057649671350890770582978642288423163591684494850521672571028050122674303978878816568665608701
m: 1000000000000000000000000000000000000
deg: 5
c5: 4900
c0: -31
skew: 0.36
# Murphy_E = 6.361e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 12050001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1574911 x 1575143
Total sieving time: 160.81 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.36 hours.
Time per square root: 1.04 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 164.44 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

1475129841857684679400667145465731528658751317346732199317539690939189564424970897217797391383153661429036997962944884755794699034821710159952262234174046589113<160>

599644467396076052107352571986403463<36>

2460007424504985302479171192645219843857778713249311389361450168318244545560705819624875820139921366879585805181539299087551<124>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2621039211
Step 1 took 7828ms
Step 2 took 6925ms
********** Factor found in step 2: 599644467396076052107352571986403463
Found probable prime factor of 36 digits: 599644467396076052107352571986403463
Composite cofactor 246000742450... has 124 digits

2460007424504985302479171192645219843857778713249311389361450168318244545560705819624875820139921366879585805181539299087551<124>

3052110852529990474539719616765825881924375410547843<52>
806001991200879202103979907903410137219816685740050799863593666399873557<72>

N = 2460007424504985302479171192645219843857778713249311389361450168318244545560705819624875820139921366879585805181539299087551 (124 digits)
Divisors found:
r1=3052110852529990474539719616765825881924375410547843 (pp52)
r2=806001991200879202103979907903410137219816685740050799863593666399873557 (pp72)
Version: Msieve v. 1.48
Total time: 20.97 hours.
Factorization parameters were as follows:
n: 2460007424504985302479171192645219843857778713249311389361450168318244545560705819624875820139921366879585805181539299087551
Y0: -875296500438122613869969
Y1: 16461260042617
c0: 497616855823679691227764347360
c1: 10647897079315669990229778
c2: -134809355763772305377
c3: -980339329110356
c4: 3702395302
c5: 4788
skew: 200663.98 
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10867890
Relations: 1704994 relations
Pruned matrix : 966218 x 966454
Polynomial selection time: 0.00 hours.
Total sieving time: 19.39 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 1.13 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 20.97 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

220216801985304228325873592053404800431394493870675748436642384346626845524103044143361326552044737061135481280944876577260015999770931<135>

1125389090697318127570545072639814819<37>
195680590655852728453086451238578814564198167290640488118586232699905597400888193178873458845299249<99>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3819275283
Step 1 took 5484ms
Step 2 took 301ms
********** Factor found in step 2: 1125389090697318127570545072639814819
Found probable prime factor of 37 digits: 1125389090697318127570545072639814819
Probable prime cofactor 195680590655... has 99 digits

1120025600585156232142448970262177421198198815972936524263411735125374294269583304761251685752817207250451438890031772154792109533932204164666620951336030537840864934055635557384168781<184>

1241191640392313005099385818109<31>

902379265325329705591066395933044306860508809089952038926144254478684282445955327984884168429055650670735545558654745328579151448711225262133357429176209<153>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1750105925
Step 1 took 11496ms
Step 2 took 10725ms
********** Factor found in step 2: 1241191640392313005099385818109
Found probable prime factor of 31 digits: 1241191640392313005099385818109
Composite cofactor  has 153 digits

GMP-ECM 6.2.2

902379265325329705591066395933044306860508809089952038926144254478684282445955327984884168429055650670735545558654745328579151448711225262133357429176209<153>

1086923283254853988260921307540929605596835076410115459503124904658183720681<76>
830214311559416909812257553600936497432070991478666285900463565442082760067689<78>

N=902379265325329705591066395933044306860508809089952038926144254478684282445955327984884168429055650670735545558654745328579151448711225262133357429176209
  ( 153 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=1086923283254853988260921307540929605596835076410115459503124904658183720681 (pp76)
 r2=830214311559416909812257553600936497432070991478666285900463565442082760067689 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 223.90 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 902379265325329705591066395933044306860508809089952038926144254478684282445955327984884168429055650670735545558654745328579151448711225262133357429176209
m: 10000000000000000000000000000000000000
deg: 5
c5: 490
c0: -31
skew: 0.58
# Murphy_E = 4.484e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 15100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2033161 x 2033386
Total sieving time: 218.09 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.31 hours.
Time per square root: 1.25 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 223.90 hours.
 --------- CPU info (if available) ----------

104902590451723399700278312995076000856347677156925711839006636694497966174266752301434382359237850567330336116463284093341896810104902590451723399700278312995076000856347677156925711839<186>

2121703601345068272130158885480734551644871829999<49>
49442622610066597773870255896387437835807325763621162874103458717719730334494584048229510097211957639731087242512079125873691747378918161<137>

N=104902590451723399700278312995076000856347677156925711839006636694497966174266752301434382359237850567330336116463284093341896810104902590451723399700278312995076000856347677156925711839
  ( 186 digits)
SNFS difficulty: 189 digits.
Divisors found:
r1=2121703601345068272130158885480734551644871829999 (pp49)
r2=49442622610066597773870255896387437835807325763621162874103458717719730334494584048229510097211957639731087242512079125873691747378918161 (pp137)
Version: Msieve-1.40
Total time: 294.69 hours.
Scaled time: 568.17 units (timescale=1.928).
Factorization parameters were as follows:
n: 104902590451723399700278312995076000856347677156925711839006636694497966174266752301434382359237850567330336116463284093341896810104902590451723399700278312995076000856347677156925711839
m: 20000000000000000000000000000000000000
deg: 5
c5: 1225
c0: -248
skew: 0.73
type: snfs
lss: 1
rlim: 10100000
alim: 10100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5050000, 9650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1995813 x 1996038
Total sieving time: 289.12 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 5.06 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10100000,10100000,28,28,54,54,2.5,2.5,100000
total time: 294.69 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve 1.42

4536999382983186672398625358134971809432301293780627416123209368440758282957329858476171000214676478597111233831083289272271150331414787519453853<145>

262392269621677144443116827900378118474875880550791844564346051<63>
17290903384938628779524581738869784784861399158649900059608949649280637994245180703<83>

4536999382983186672398625358134971809432301293780627416123209368440758282957329858476171000214676478597111233831083289272271150331414787519453853=262392269621677144443116827900378118474875880550791844564346051*17290903384938628779524581738869784784861399158649900059608949649280637994245180703

n: 4536999382983186672398625358134971809432301293780627416123209368440758282957329858476171000214676478597111233831083289272271150331414787519453853
skew: 154062.065
c0: -24248612739321762569357537200650
c1: -3567592239144968741382803305
c2: -24871589293203032184258
c3: 315750658469001175
c4: 240300549522
c5: 875160
Y0: -7866245394743209132123515428
Y1: 825382163362382596507
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.82e-07
# found by revision 7f9c8bd19
# f(x) = 875160*x^5+240300549522*x^4+315750658469001175*x^3-24871589293203032184258*x^2-3567592239144968741382803305*x-24248612739321762569357537200650
# g(x) = 825382163362382596507*x-7866245394743209132123515428

Info:Square Root: Factors: 17290903384938628779524581738869784784861399158649900059608949649280637994245180703 262392269621677144443116827900378118474875880550791844564346051
Info:Square Root: Total cpu/real time for sqrt: 11646.6/1627.66
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78229/42.350/52.147/58.890/0.930
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78229/42.160/46.822/52.870/1.366
Info:Polynomial Selection (size optimized): Total time: 38797.9
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2156.66
Info:Polynomial Selection (root optimized): Rootsieve time: 2155.09
Info:Generate Factor Base: Total cpu/real time for makefb: 58.78/16.1293
Info:Generate Free Relations: Total cpu/real time for freerel: 1327.29/246.032
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49054015
Info:Lattice Sieving: Average J: 3785.93 for 1175284 special-q, max bucket fill -bkmult 1.0,1s:1.194250
Info:Lattice Sieving: Total time: 507819s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 290.95/234.688
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 234.29999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2212.68/1010.71
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 859.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1770.81/755.138
Info:Filtering - Merging: Total cpu/real time for merge: 3200.21/8320.92
Info:Filtering - Merging: Total cpu/real time for replay: 205.41/180.093
Info:Linear Algebra: Total cpu time for bwc: 448091
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Quadratic Characters: Total cpu/real time for characters: 127.8/51.1493
Info:Square Root: Total cpu/real time for sqrt: 11646.6/1627.66
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.04581e+06/210179
17290903384938628779524581738869784784861399158649900059608949649280637994245180703 262392269621677144443116827900378118474875880550791844564346051

cado-nfs-3.0.0

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

35594950711059297481611492034403141123868884541221005378168667546860274054800042197508023123031319822654583687063070738544011826496469154542395024604483741238821466610443<170>

10488120350258049738490426522001<32>

3393835074574017376539546445699521745886417441021383295473943155188861165490674176590119566336901074380489532848268861497947052610509364443<139>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=135339706
Step 1 took 9849ms
Step 2 took 9693ms
********** Factor found in step 2: 10488120350258049738490426522001
Found probable prime factor of 32 digits: 10488120350258049738490426522001
Composite cofactor  has 139 digits

GMP-ECM 6.2.2

3393835074574017376539546445699521745886417441021383295473943155188861165490674176590119566336901074380489532848268861497947052610509364443<139>

7321157299759990005585654689690077892042813<43>
66839828310140696973204053386787893086934805951<47>
6935466366860246984613895722739458635801082511561<49>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2061257993
Step 1 took 61158ms
Step 2 took 19817ms
********** Factor found in step 2: 7321157299759990005585654689690077892042813
Found probable prime factor of 43 digits: 7321157299759990005585654689690077892042813
Composite cofactor 463565381211694181341363751414027688372343062167603600447870289511243363132985620551295249099511 has 96 digits

N=463565381211694181341363751414027688372343062167603600447870289511243363132985620551295249099511
  ( 96 digits)
Divisors found:
 r1=66839828310140696973204053386787893086934805951 (pp47)
 r2=6935466366860246984613895722739458635801082511561 (pp49)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.06 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 463565381211694181341363751414027688372343062167603600447870289511243363132985620551295249099511
skew: 442186.86
c0: -426233002429772165061374304
c1: 1073230645199946194384
c2: -442479019317650
c3: 3093399693
c4: 35916
Y0: -59938480444577763094195
Y1: 189973556003
rlim: 1560000
alim: 1560000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 100000
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [780000, 980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165670 x 165909
Total sieving time: 1.94 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1560000,1560000,25,25,50,50,2.5,2.5,60000
total time: 2.06 hours.
 --------- CPU info (if available) ----------

33312750678031325679098700127732191948837501697586406974073912273825442891028118079558640821158273854564335842486457450403510301544973602978790452722365720993<158>

12226248379802045914278498793687<32>
2724691143447119256321966388256111245401229542620746414609457044339939246203047290477635173541037930665912752515101416318765639<127>

Using B1=2000000, B2=8559543730, polynomial Dickson(6), sigma=2450600798
Step 1 took 5257ms
Step 2 took 4890ms
********** Factor found in step 2: 12226248379802045914278498793687
Found probable prime factor of 32 digits: 12226248379802045914278498793687
Probable prime cofactor 272469114344711925632196638825611124540122954262074641460945704433993924620304729047763517354
1037930665912752515101416318765639 has 127 digits

60379946974175086886718614888744789266457172119752430407447989157559561629598721410157636590984765072949032200650279841974667774696897036082181653649967640427842742368401749011<176>

2259065377053742833717467774812651557043477271742171460878715795231732878934105889<82>
26727843995786518050480767732252165481278424352530260314969996727179119453380344430560845394099<95>

Number: n
N=60379946974175086886718614888744789266457172119752430407447989157559561629598721410157636590984765072949032200650279841974667774696897036082181653649967640427842742368401749011  ( 176 digits)
SNFS difficulty: 194 digits.
Divisors found:

Fri Mar  5 02:21:36 2021  p82 factor: 2259065377053742833717467774812651557043477271742171460878715795231732878934105889
Fri Mar  5 02:21:36 2021  p95 factor: 26727843995786518050480767732252165481278424352530260314969996727179119453380344430560845394099
Fri Mar  5 02:21:36 2021  elapsed time 01:04:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 49x10^193-31 = 54(192)1
#
n: 60379946974175086886718614888744789266457172119752430407447989157559561629598721410157636590984765072949032200650279841974667774696897036082181653649967640427842742368401749011
m: 100000000000000000000000000000000000000
deg: 5
c5: 49000
c0: -31
skew: 0.23
# Murphy_E = 1.811e-11
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4527061 hash collisions in 31201110 relations (28239896 unique)
Msieve: matrix is 1645300 x 1645525 (571.8 MB)

Sieving start time : 2021/03/04 18:17:01
Sieving end time  : 2021/03/05 01:16:06

Total sieving time: 6hrs 59min 5secs.

Total relation processing time: 0hrs 52min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 31sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.154161] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400)
[    0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)

3755049655972121653524861063128539827185229243381528324516848381696026187794572112522316729149316522335207008496388098262184532558955623589341176380124731497<157>

66642981688286858095639699937168443553827917007008117802938341140491940667<74>
56345763062280683818545557131711473940366231642591471410068233995265307047121592491<83>

p74 factor: 66642981688286858095639699937168443553827917007008117802938341140491940667
p83 factor: 56345763062280683818545557131711473940366231642591471410068233995265307047121592491


Msieve v. 1.54 (SVN 1034)
random seeds: f6c57280 d1cab8c3
factoring 3755049655972121653524861063128539827185229243381528324516848381696026187794572112522316729149316522335207008496388098262184532558955623589341176380124731497 (157 digits)
searching for 15-digit factors
commencing number field sieve (157-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -155
A1: 0
A2: 0
A3: 0
A4: 0
A5: 784
skew 1.00, size 6.222e-14, alpha 0.468, combined = 1.564e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2193679 hash collisions in 35843957 relations
added 727587 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 36571544 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: 1219.0 MB
keeping 39874273 ideals with weight <= 200, target excess is 192654
commencing in-memory singleton removal
begin with 36571544 relations and 39874273 unique ideals
reduce to 13381230 relations and 12619310 ideals in 16 passes
max relations containing the same ideal: 102
removing 1700611 relations and 1431390 ideals in 269221 cliques
commencing in-memory singleton removal
begin with 11680619 relations and 12619310 unique ideals
reduce to 11490849 relations and 10993103 ideals in 10 passes
max relations containing the same ideal: 94
removing 1344677 relations and 1075456 ideals in 269221 cliques
commencing in-memory singleton removal
begin with 10146172 relations and 10993103 unique ideals
reduce to 10006159 relations and 9774095 ideals in 9 passes
max relations containing the same ideal: 88
removing 76897 relations and 68312 ideals in 8585 cliques
commencing in-memory singleton removal
begin with 9929262 relations and 9774095 unique ideals
reduce to 9928794 relations and 9705315 ideals in 7 passes
max relations containing the same ideal: 88
relations with 0 large ideals: 4026
relations with 1 large ideals: 6272
relations with 2 large ideals: 60276
relations with 3 large ideals: 326367
relations with 4 large ideals: 1054515
relations with 5 large ideals: 2128546
relations with 6 large ideals: 2820295
relations with 7+ large ideals: 3528497
commencing 2-way merge
reduce to 6140514 relation sets and 5917035 unique ideals
commencing full merge
memory use: 711.1 MB
found 2885527 cycles, need 2867235
weight of 2867235 cycles is about 258364129 (90.11/cycle)
distribution of cycle lengths:
1 relations: 256942
2 relations: 265040
3 relations: 268829
4 relations: 255555
5 relations: 239685
6 relations: 217048
7 relations: 197634
8 relations: 175384
9 relations: 155876
10+ relations: 835242
heaviest cycle: 28 relations
commencing cycle optimization
start with 21044467 relations
pruned 696341 relations
memory use: 621.5 MB
distribution of cycle lengths:
1 relations: 256942
2 relations: 271386
3 relations: 279500
4 relations: 263688
5 relations: 248050
6 relations: 222714
7 relations: 202550
8 relations: 178720
9 relations: 157531
10+ relations: 786154
heaviest cycle: 28 relations
RelProcTime: 980
elapsed time 00:16:21


Msieve v. 1.54 (SVN 1034)
random seeds: eaadf591 61f7ef1e
factoring 3755049655972121653524861063128539827185229243381528324516848381696026187794572112522316729149316522335207008496388098262184532558955623589341176380124731497 (157 digits)
searching for 15-digit factors
commencing number field sieve (157-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -155
A1: 0
A2: 0
A3: 0
A4: 0
A5: 784
skew 1.00, size 6.222e-14, alpha 0.468, combined = 1.564e-11 rroots = 1

commencing linear algebra
read 2867235 cycles
cycles contain 9760610 unique relations
read 9760610 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1213.6 MB
read 2867235 cycles
matrix is 2867058 x 2867235 (1055.2 MB) with weight 305717767 (106.62/col)
sparse part has weight 245075653 (85.47/col)
filtering completed in 2 passes
matrix is 2866283 x 2866460 (1055.1 MB) with weight 305692226 (106.64/col)
sparse part has weight 245067029 (85.49/col)
matrix starts at (0, 0)
matrix is 2866283 x 2866460 (1055.1 MB) with weight 305692226 (106.64/col)
sparse part has weight 245067029 (85.49/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2866235 x 2866460 (1003.8 MB) with weight 253285261 (88.36/col)
sparse part has weight 234477391 (81.80/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 957.4 MB
linear algebra at 0.1%, ETA 4h10m
checkpointing every 730000 dimensions
lanczos halted after 45327 iterations (dim = 2866233)
recovered 39 nontrivial dependencies
BLanczosTime: 14324
elapsed time 03:58:45


Msieve v. 1.54 (SVN 1034)
random seeds: 8c1cde7f 5a3e7622
factoring 3755049655972121653524861063128539827185229243381528324516848381696026187794572112522316729149316522335207008496388098262184532558955623589341176380124731497 (157 digits)
searching for 15-digit factors
commencing number field sieve (157-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -155
A1: 0
A2: 0
A3: 0
A4: 0
A5: 784
skew 1.00, size 6.222e-14, alpha 0.468, combined = 1.564e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1432861 cycles
cycles contain 4880894 unique relations
read 4880894 relations
multiplying 4880894 relations
multiply complete, coefficients have about 155.92 million bits
initial square root is modulo 394271
GCD is N, no factor found
reading relations for dependency 2
read 1432922 cycles
cycles contain 4883062 unique relations
read 4883062 relations
multiplying 4883062 relations
multiply complete, coefficients have about 156.00 million bits
initial square root is modulo 396631
sqrtTime: 631
p74 factor: 66642981688286858095639699937168443553827917007008117802938341140491940667
p83 factor: 56345763062280683818545557131711473940366231642591471410068233995265307047121592491
elapsed time 00:10:31

CADO-NFS/Msieve

3671520945766739241085472244930503519154045969551077646906330430049448857523365413541676442364291699250845304744670848453059698628200220487580891800806275845939945985487024033<175>

13851316669570044275666590897<29>
265066566114447669220443796658487639650713702072048008781100939232612045779532821669143119201906167333237869238046082223190112822980004310501768689<147>

Using B1=2000000, B2=8559543730, polynomial Dickson(6), sigma=3096301600
Step 1 took 6142ms
********** Factor found in step 1: 13851316669570044275666590897
Found probable prime factor of 29 digits: 13851316669570044275666590897
Probable prime cofactor 265066566114447669220443796658487639650713702072048008781100939232612045779532821669143119201906167333237869238046082223190112822980004310501768689 has 147 digits

157414943339141694707174612393200182265145761887567503810595197139931375898037931332656535463729598092549771257481438271938168163550008968343313737<147>

375785350843231471668489476530058467<36>
418895901572308465852801951709212030712245041187096397069834582098223516190816958890764116074980833883956291811<111>

Using B1=2000000, B2=8559543730, polynomial Dickson(6), sigma=2697694955
Step 1 took 4526ms
Step 2 took 4495ms
********** Factor found in step 2: 375785350843231471668489476530058467
Found probable prime factor of 36 digits: 375785350843231471668489476530058467
Probable prime cofactor 418895901572308465852801951709212030712245041187096397069834582098223516190816958890764116074980833883956291811 has 111 digits

4261856182002574513443083138386728859767221168596025826538304577867818007842451854627697935223365454963804326172724108146477900546447175962889941154194104506070237182041986657776987<181>

424468423345885433156577302198219<33>

10040455184883628723379516918972718663570880925820870748754105264964125669194550840151796264594212956524156346638928243460828919631807445780254353073<149>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1761079087
Step 1 took 11284ms
Step 2 took 10537ms
********** Factor found in step 2: 424468423345885433156577302198219
Found probable prime factor of 33 digits: 424468423345885433156577302198219
Composite cofactor has 149 digits

GMP-ECM 6.2.2

10040455184883628723379516918972718663570880925820870748754105264964125669194550840151796264594212956524156346638928243460828919631807445780254353073<149>

34043845173709257566349604504573363<35>
294927177986271750422010332349384919955753309327707514687528364445322514481129761213189585046151956424265959516171<114>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3986261582
Step 1 took 16404ms
Step 2 took 7263ms
********** Factor found in step 2: 34043845173709257566349604504573363
Found probable prime factor of 35 digits: 34043845173709257566349604504573363

263016639828234031132581857219538378958668813741277509393451422436929683306494900697799248523886205045625335480407944176060118089103596349973161567364465915190552871712292002147074610842726784755770263<201>

72555232079315990732521685350024064032570967598738850170782353<62>
3625054076606209123383325667965643130420860066851944590450555110710082259860226719865091185627928789968916520685882384826434539903193794471<139>

Number: n
N=263016639828234031132581857219538378958668813741277509393451422436929683306494900697799248523886205045625335480407944176060118089103596349973161567364465915190552871712292002147074610842726784755770263
  ( 201 digits)
SNFS difficulty: 204 digits.
Divisors found:

Wed Sep 30 06:38:38 2009  prp62 factor: 72555232079315990732521685350024064032570967598738850170782353
Wed Sep 30 06:38:38 2009  prp139 factor: 3625054076606209123383325667965643130420860066851944590450555110710082259860226719865091185627928789968916520685882384826434539903193794471
Wed Sep 30 06:38:38 2009  elapsed time 14:01:14 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 39.66 hours.
Scaled time: 79.76 units (timescale=2.011).
Factorization parameters were as follows:
name: KA_5_4_201_1
n: 263016639828234031132581857219538378958668813741277509393451422436929683306494900697799248523886205045625335480407944176060118089103596349973161567364465915190552871712292002147074610842726784755770263
m: 20000000000000000000000000000000000000000
deg: 5
c5: 1225
c0: -248
skew: 0.73
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 18599990)
Primes: RFBsize:1151367, AFBsize:1151002, largePrimes:37720524 encountered
Relations: rels:33609893, finalFF:756148
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7375100 hash collisions in 48807446 relations
Msieve: matrix is 2918084 x 2918332 (782.2 MB)

Total sieving time: 38.67 hours.
Total relation processing time: 0.99 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18000000,18000000,29,29,58,58,2.6,2.6,100000
total time: 39.66 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: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.09 BogoMIPS (lpj=2830549)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Total of 4 processors activated (22643.81 BogoMIPS).

93071069695624742309475780238994730638933463283339543452973534253639064579527035236839945434521187999401078169460726658264818305613064929284316333826477044049150717941684288913949698961625069501771<197>

250258947013949118526184405219<30>
371899070167657494778515770799102838016236456489920897993331203914363646004089375009102210345490410627952983442877093935149349822956554542662818169335938886868137369209<168>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1435368007
Step 1 took 13265ms
Step 2 took 12292ms
********** Factor found in step 2: 250258947013949118526184405219
Found probable prime factor of 30 digits: 250258947013949118526184405219
Probable prime cofactor  has 168 digits

GMP-ECM 6.2.2

10447556151966861352009308542259262501403824075425031633376864091400068758236615013263998500435050427278711460662361521856246163148918580312633109341043494417330684101927<170>

2549966729095622273248735602222501781901626998060433769965833841274953355024749<79>
4097134300913886181277525837325515600842714764381074737976372142928691635988310331315892323<91>

Number: n
N=10447556151966861352009308542259262501403824075425031633376864091400068758236615013263998500435050427278711460662361521856246163148918580312633109341043494417330684101927  ( 170 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Nov  6 23:34:40 2023  prp79 factor: 2549966729095622273248735602222501781901626998060433769965833841274953355024749
Mon Nov  6 23:34:40 2023  prp91 factor: 4097134300913886181277525837325515600842714764381074737976372142928691635988310331315892323
Mon Nov  6 23:34:40 2023  elapsed time 03:33:19 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.081).
Factorization parameters were as follows:
#
# N = 49x10^204-31 = 54(203)1
#
n: 10447556151966861352009308542259262501403824075425031633376864091400068758236615013263998500435050427278711460662361521856246163148918580312633109341043494417330684101927
m: 10000000000000000000000000000000000
deg: 6
c6: 49
c0: -31
skew: 0.93
# Murphy_E = 7.552e-12
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3286370 hash collisions in 18279860 relations (15611874 unique)
Msieve: matrix is 2580352 x 2580577 (724.9 MB)

Sieving start time: 2023/11/05 20:40:42
Sieving end time  : 2023/11/06 20:00:59

Total sieving time: 23hrs 20min 17secs.

Total relation processing time: 3hrs 24min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 49sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18800000,18800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

386130811662726556343577620173364854215918045705279747832939322301024428684003152088258471237194641449960598896769109535066981875492513790386130811662726556343577620173364854215918045705279747832939322301<204>

63857407154518619099432007817527624871<38>
6046766207221483202200867690264664743792040332470375333789197689476780699012131797397027054060393163481932245065472333058710972868763794831723965812621141889670190331<166>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 386130811662726556343577620173364854215918045705279747832939322301024428684003152088258471237194641449960598896769109535066981875492513790386130811662726556343577620173364854215918045705279747832939322301 (204 digits)
Using B1=2254000, B2=3567637720, polynomial Dickson(6), sigma=1092356064
Step 1 took 44047ms
Step 2 took 17234ms
********** Factor found in step 2: 63857407154518619099432007817527624871
Found probable prime factor of 38 digits: 63857407154518619099432007817527624871
Probable prime cofactor 6046766207221483202200867690264664743792040332470375333789197689476780699012131797397027054060393163481932245065472333058710972868763794831723965812621141889670190331 has 166 digits

15680890754498234228835337553181029435516484216623458901220815449687105464652268638439941031163887782219402494674856192879462540541735007<137>

51999542223457719477419632848659889995054183616418797351638927669<65>
301558246169028108945536495548840628588153677972223121294733865344408003<72>

Number: 54441_206
N = 15680890754498234228835337553181029435516484216623458901220815449687105464652268638439941031163887782219402494674856192879462540541735007 (137 digits)
Divisors found:
r1=51999542223457719477419632848659889995054183616418797351638927669 (pp65)
r2=301558246169028108945536495548840628588153677972223121294733865344408003 (pp72)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 122.52 hours.
Factorization parameters were as follows:
# Murphy_E = 3.25e-11, selected by Dmitry Domanov
n: 15680890754498234228835337553181029435516484216623458901220815449687105464652268638439941031163887782219402494674856192879462540541735007
Y0: -265743421186586930943871799
Y1: 5379561052853
c0: 1562628789390685642745671809860400
c1: -1245042777692600533082086155
c2: -29737168330551681467481
c3: -17341584860163187
c4: -55051291954
c5: 11832
skew: 819683.36
type: gnfs
# selected mechanically
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22457047
Relations: 3704030 relations
Pruned matrix : 2228903 x 2229130
Polynomial selection time: 0.00 hours.
Total sieving time: 118.61 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.28 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14400000,14400000,28,28,55,55,2.6,2.6,100000
total time: 122.52 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

7038406704291088283011934655262635042284130747553082040969086997052293537511422957406487093278573302929806818588894895345274448762151771850101697562753224196153409885507747993<175>

5495270312184369257117156311570079118792356657<46>
109238727125930974965942640336706121726046652401<48>
11724887033762445505776163691780218964586787035950193781858523181818147997801449849<83>

#
# N = 49x10^207-31 = 54(206)1
#
n: 7038406704291088283011934655262635042284130747553082040969086997052293537511422957406487093278573302929806818588894895345274448762151771850101697562753224196153409885507747993
m: 100000000000000000000000000000000000000000
deg: 5
c5: 4900
c0: -31
skew: 0.36
# Murphy_E = 5.198e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7038406704291088283011934655262635042284130747553082040969086997052293537511422957406487093278573302929806818588894895345274448762151771850101697562753224196153409885507747993 (175 digits)
Using B1=45170000, B2=240492732496, polynomial Dickson(12), sigma=1:3773036563
Step 1 took 120880ms
Step 2 took 38243ms
********** Factor found in step 2: 5495270312184369257117156311570079118792356657
Found prime factor of 46 digits: 5495270312184369257117156311570079118792356657
Composite cofactor 1280811735263542022985103254840113388681764312848208403792677333277379447622262030420857484827962729063025489386149099730736937449 has 130 digits



CADO

STA:Wed 21 Jul 2021 22:39:40 AEST (1,280,811,735,263,542,022,985,103,254,840,113,388,681,764,312,848,208,403,792,677,333,277,379,447,622,262,030,420,857,484,827,962,729,063,025,489,386,149,099,730,736,937,449 - C130)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1280811735263542022985103254840113388681764312848208403792677333277379447622262030420857484827962729063025489386149099730
736937449 2>&1 | tee -a log34

Debug:root: Looking for parameter file for c130 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.u44yh53c
Info:Database: Opened connection to database /tmp/cado.u44yh53c/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1280811735263542022985103254840113388681764312848208403792677333277379447622262030420
857484827962729063025489386149099730736937449
Debug:root: Root parameter dictionary:
N = 1280811735263542022985103254840113388681764312848208403792677333277379447622262030420857484827962729063025489386149099730736937449
...
n: 1280811735263542022985103254840113388681764312848208403792677333277379447622262030420857484827962729063025489386149099730736937449
skew: 35323.191
c0: 108837498928536427807524106944
c1: -27361311807383243413468402
c2: -104215576952546374599
c3: 14344826186439463
c4: 353928228132
c5: 4455360
Y0: -5093804366457601313851637
Y1: 379793261626838303
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 1.87e-09
# f(x) = 4455360*x^5+353928228132*x^4+14344826186439463*x^3-104215576952546374599*x^2-27361311807383243413468402*x+108837498928536427807524106944
# g(x) = 379793261626838303*x-5093804366457601313851637
...
Info:Square Root: Factors: 11724887033762445505776163691780218964586787035950193781858523181818147997801449849 109238727125930974965942640336706121726046652401
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1724.84/239.398
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39001/38.220/46.090/50.520/0.860
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39001/37.620/41.455/46.890/1.108
Info:Polynomial Selection (size optimized): Total time: 5828.89
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1811.88
Info:Polynomial Selection (root optimized): Rootsieve time: 1810.93
Info:Generate Factor Base: Total cpu/real time for makefb: 59.33/5.29072
Info:Generate Free Relations: Total cpu/real time for freerel: 307.92/20.7725
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19255105
Info:Lattice Sieving: Average J: 7622 for 72771 special-q, max bucket fill: 0.648016
Info:Lattice Sieving: Total CPU time: 238518s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.13/73.1442
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 73.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 334.32/104.735
Info:Filtering - Singleton removal: Total cpu/real time for purge: 195.7/81.7612
Info:Filtering - Merging: Total cpu/real time for merge: 801.5/704.089
Info:Filtering - Merging: Total cpu/real time for replay: 61.2/49.8854
Info:Linear Algebra: Total cpu/real time for bwc: 51221.4/0.000329733
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2246.88
Info:Linear Algebra: Lingen CPU time 339.12, WCT time 33.41
Info:Linear Algebra: Mksol: WCT time 1228.97
Info:Quadratic Characters: Total cpu/real time for characters: 57.25/13.5758
Info:Square Root: Total cpu/real time for sqrt: 1724.84/239.398
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 300973/21578
Info:root: Cleaning up computation data in /tmp/cado.u44yh53c
11724887033762445505776163691780218964586787035950193781858523181818147997801449849 109238727125930974965942640336706121726046652401

END:Thu 22 Jul 2021 04:39:19 AEST (1,280,811,735,263,542,022,985,103,254,840,113,388,681,764,312,848,208,403,792,677,333,277,379,447,622,262,030,420,857,484,827,962,729,063,025,489,386,149,099,730,736,93
7,449 - C130)

89328986346769481747483518131572892969968138962621978135365750752347882872946754991173579560929230902842387203992202686626183231337136450690061045423508058868002289924224424959<176>

1407121209296644137406400219711315939<37>

63483505014767688120919279418957024627587565821493028136838697030845758117773509134916826101100625335512715264089269862032389050236034160181<140>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3291450018
Step 1 took 16129ms
Step 2 took 11945ms
********** Factor found in step 2: 1407121209296644137406400219711315939
Found probable prime factor of 37 digits: 1407121209296644137406400219711315939
Composite cofactor

63483505014767688120919279418957024627587565821493028136838697030845758117773509134916826101100625335512715264089269862032389050236034160181<140>

161779887066793414215714005939135030627274262976917<51>
392406659231734458992726984296380952440257140582026109231817954935977640936516361646645793<90>

Number: 54441_208
N = 63483505014767688120919279418957024627587565821493028136838697030845758117773509134916826101100625335512715264089269862032389050236034160181 (140 digits)
Divisors found:
r1=161779887066793414215714005939135030627274262976917 (pp51)
r2=392406659231734458992726984296380952440257140582026109231817954935977640936516361646645793 (pp90)
Version: Msieve v. 1.51 (SVN 845)
Total time: 321.06 hours.
Factorization parameters were as follows:
# Murphy_E = 2.222e-11, selected by Erik Branger
# expecting poly E from 2.11e-011 to > 2.43e-011
n: 63483505014767688120919279418957024627587565821493028136838697030845758117773509134916826101100625335512715264089269862032389050236034160181
Y0: -1768280289329472343065621456
Y1: 1369830648693617
c0: -2749345002367784603908670787530107
c1: 17615922871749008193841539676
c2: -56193045458717687698755
c3: -46015412087246428
c4: 29408401942
c5: 3672
skew: 1580538.69
type: gnfs
# selected mechanically
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23066034
Relations: 3211050 relations
Pruned matrix : 2014150 x 2014376
Polynomial selection time: 0.00 hours.
Total sieving time: 316.33 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.73 hours.
time per square root: 0.82 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,18000000,18000000,28,28,55,55,2.6,2.6,100000
total time: 321.06 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

1688741549853694033533069878897293677592872701772847287591294538483730034512060672263984233997049555338580531974352373774569323959915726229133260754173202979398292717989021103549169349873223108701<196>

211199654257490216704878669506806649<36>
7995948458300104659472289791609164825996901082229566740695078320142249140354466114145004227885141367178622184220346366563044666638495223079388581686122081382149<160>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=518917894
Step 1 took 18137ms
Step 2 took 13113ms
********** Factor found in step 2: 211199654257490216704878669506806649
Found probable prime factor of 36 digits: 211199654257490216704878669506806649
Probable prime cofactor 

1340740293991450680834367818554894990356730507432299054124430952035564443657376794177893342763380740242231801696421459909164433913148950992868480610691128320965749125906625307371020413030761607800813<199>

2644853976693896066243279622264338162928626032745118010836430789398845485389404076342467937109217592078982807781315040927279235661134446433397632073974020842915781316252063802535227258267<187>

286549707602339181286549707602339181286549707602339181286549707602339181286549707602339181286549707602339181286549707602339181286549707602339181286549707602339181286549707602339181286549707602339181286549707602339<213>

4164815804852333151462662439768238927<37>
68802492361963899266645996384100920640671093167191969716223374314198926856711821483213499056498589166722794216360758165565419180552756220657665201538724037173208994907682760557<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2190986241
Step 1 took 32245ms
Step 2 took 11344ms
********** Factor found in step 2: 4164815804852333151462662439768238927
Found probable prime factor of 37 digits: 4164815804852333151462662439768238927

55306315838030030554957920464550138665534925857010592905421799582252651901928985049276064441505701912572030254329132118782235605799485447706578379993021683<155>

159959281809064472943124457163598780523018117<45>
345752464080493056447829590150689637841419742295189030630874053043968590410658712883071069838033883252480229399<111>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2716813891
Step 1 took 12164ms
Step 2 took 9516ms
********** Factor found in step 2: 159959281809064472943124457163598780523018117
Found probable prime factor of 45 digits: 159959281809064472943124457163598780523018117
Probable prime cofactor

3913793396948903144238315762998426674326560245747387832267581291940148557047334788917605901316703894324728217751241680561819348369109880443<139>

629175340438136136260127663066053192749534286060987000863<57>
6220513019826033875033815492302511858174961020773780328276934487881453337041370661<82>

Number: 54441_215
N = 3913793396948903144238315762998426674326560245747387832267581291940148557047334788917605901316703894324728217751241680561819348369109880443 (139 digits)
Divisors found:
r1=629175340438136136260127663066053192749534286060987000863 (pp57)
r2=6220513019826033875033815492302511858174961020773780328276934487881453337041370661 (pp82)
Version: Msieve v. 1.51 (SVN 845)
Total time: 200.49 hours.
Factorization parameters were as follows:
# Murphy_E = 2.462e-11, selected by Erik Branger
n: 3913793396948903144238315762998426674326560245747387832267581291940148557047334788917605901316703894324728217751241680561819348369109880443
Y0: -1146006684549730478581984299
Y1: 623928682628699
c0: -35093772463608962250021683430536632
c1: 26699341041927300813190933055
c2: 65562855412032387184717
c3: -24188429757082619
c4: -25525967844
c5: 1980
skew: 1817881.79
type: gnfs
# selected mechanically
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23488509
Relations: 4101836 relations
Pruned matrix : 2528119 x 2528343
Polynomial selection time: 0.00 hours.
Total sieving time: 195.05 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 5.07 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,18000000,18000000,28,28,55,55,2.6,2.6,100000
total time: 200.49 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

4483904890206327495713124067477095451328224086412634953495851644334659345806865484468140128490864551519802226294996957962900895500859798416818816700722395575338510988171168909950053701985637589787874548059711<208>

78499291115186532380366639220312102913<38>

57120323336765366735679026154555479146961503739815361885741237878164249419915830941688829290269818239929306364808454192941301948045401806415018144855964690123268323075647<170>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3839633
Step 1 took 18185ms
Step 2 took 13569ms
********** Factor found in step 2: 78499291115186532380366639220312102913
Found probable prime factor of 38 digits: 78499291115186532380366639220312102913
Composite cofactor

12105489540541938244383148754475492488796253448393025917154278087533038769339500811475633994902045536491703805132534807535513362668613585561471266447397292792335011000572198285649<179>

60702914978753979757436107084897362520285923117899926908735025581942741046320040633787985778174204977639028257826340109760780961583726663445695667794006516272097719304765798243331970614833810284808166400317141759889<215>

8037157398268597765825593871665458220269<40>

7552784146274264468496337175561218356764664681280213087639323831579147421923656207576520277288208537656196388831542544179564367152263654385729395997163641369645415585731404981<175>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3160978587
Step 1 took 66589ms
Step 2 took 20911ms
********** Factor found in step 2: 8037157398268597765825593871665458220269
Found probable prime factor of 40 digits: 8037157398268597765825593871665458220269
Composite cofactor

88093347964547551657793982360025086479575502130338689831326246692515365046856345888986803114815157941128322770481340887747778135008096210921306882386695490105618740188464689651991841466412559<191>

5872536556810573426639400656775017<34>

15000902440084907453448130110232123553764317088706407120404040793271142058001590127282854565965121761217391039988127419549439537218781677848451539444120646327<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1608675003
Step 1 took 22763ms
Step 2 took 9277ms
********** Factor found in step 2: 5872536556810573426639400656775017
Found probable prime factor of 34 digits: 5872536556810573426639400656775017

15000902440084907453448130110232123553764317088706407120404040793271142058001590127282854565965121761217391039988127419549439537218781677848451539444120646327<158>

1466285616760420318898210019018183289428377439601680316028864452838682826127009<79>
10230545992279168895220479366593872955402728893337712875376002578787738575151703<80>

Number: 54441_219
N = 15000902440084907453448130110232123553764317088706407120404040793271142058001590127282854565965121761217391039988127419549439537218781677848451539444120646327 (158 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1466285616760420318898210019018183289428377439601680316028864452838682826127009 (pp79)
r2=10230545992279168895220479366593872955402728893337712875376002578787738575151703 (pp80)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 58.64 hours.
Factorization parameters were as follows:
n: 15000902440084907453448130110232123553764317088706407120404040793271142058001590127282854565965121761217391039988127419549439537218781677848451539444120646327
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 49
c0: -310
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: 10111696 relations
Pruned matrix : 8507031 x 8507256
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 47.14 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 10.70 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 58.64 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

2540927534381668611883560175394672893969532609474832580723886539380137024473427200527333606855694641430529608603416021619196742305892265778176979106835488674636838355709422264753870114765274692201662327571<205>

26065860599999567403147628708664163723668114152583966538907<59>
97481052836663708002803604177000164173296425153803367677079756051384980628703581243280141012134880227774521923973721715309388658395430424183416553<146>

Number: 54441_220
N = 2540927534381668611883560175394672893969532609474832580723886539380137024473427200527333606855694641430529608603416021619196742305892265778176979106835488674636838355709422264753870114765274692201662327571 (205 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=26065860599999567403147628708664163723668114152583966538907 (pp59)
r2=97481052836663708002803604177000164173296425153803367677079756051384980628703581243280141012134880227774521923973721715309388658395430424183416553 (pp146)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 73.57 hours.
Factorization parameters were as follows:
n: 2540927534381668611883560175394672893969532609474832580723886539380137024473427200527333606855694641430529608603416021619196742305892265778176979106835488674636838355709422264753870114765274692201662327571
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 49
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
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: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31554783
Relations: 8714940 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 32.44 hours.
Total relation processing time: 0.56 hours.
Pruned matrix : 7502110 x 7502335
Matrix solve time: 40.32 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 73.57 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

181577997099313659784887947999052431897616302259010411223914947112541175761439327167552110628372192129874782052380538659748357543801731045929525533941210326289679420842805555149954785980735378029839<198>

104177360280196981793456575377770482481299104567778786855443735981428498573<75>
1742969841152998798748569212591696744695777080260254228593168000472724246832740826532811312504770217361829210823539710194443<124>

Number: 54441_221
N = 181577997099313659784887947999052431897616302259010411223914947112541175761439327167552110628372192129874782052380538659748357543801731045929525533941210326289679420842805555149954785980735378029839 (198 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=104177360280196981793456575377770482481299104567778786855443735981428498573 (pp75)
r2=1742969841152998798748569212591696744695777080260254228593168000472724246832740826532811312504770217361829210823539710194443 (pp124)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 75.78 hours.
Factorization parameters were as follows:
n: 181577997099313659784887947999052431897616302259010411223914947112541175761439327167552110628372192129874782052380538659748357543801731045929525533941210326289679420842805555149954785980735378029839
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 490
c0: -31
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: 8809906 relations
Pruned matrix : submatrix x not
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 32.24 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 42.98 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 75.78 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_Factory, Msieve

50020009994590070506787153396765831305856445566391226990038722235333079331722580804955299868168384556441962194302747198682677916701822311956486846068005770320602774276555721049310663983058422694872321479633218293129<215>

4160713758972417884921853858523495119816970517<46>
12021978173029533342676317256112614853603161899089387596234920460947944351095793161458595179621888908966381185914985443703976088738310615039400083360017632920827045552037<170>

Number: n
N=50020009994590070506787153396765831305856445566391226990038722235333079331722580804955299868168384556441962194302747198682677916701822311956486846068005770320602774276555721049310663983058422694872321479633218293129
  ( 215 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sat Aug 10 10:12:18 2019  p46 factor: 4160713758972417884921853858523495119816970517
Sat Aug 10 10:12:18 2019  p170 factor: 12021978173029533342676317256112614853603161899089387596234920460947944351095793161458595179621888908966381185914985443703976088738310615039400083360017632920827045552037
Sat Aug 10 10:12:18 2019  elapsed time 09:23:46 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 49x10^222-31 = 54(221)1
#
n: 50020009994590070506787153396765831305856445566391226990038722235333079331722580804955299868168384556441962194302747198682677916701822311956486846068005770320602774276555721049310663983058422694872321479633218293129
m: 10000000000000000000000000000000000000
deg: 6
c6: 49
c0: -31
skew: 0.93
# Murphy_E = 1.877e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 87300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13711156 hash collisions in 70003327 relations (58256397 unique)
Msieve: matrix is 4488841 x 4489067 (1553.4 MB)

Sieving start time: 2019/08/08 07:38:13
Sieving end time  : 2019/08/10 00:44:50

Total sieving time: 41hrs 6min 37secs.

Total relation processing time: 8hrs 52min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 21sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284112K/16703460K available (12300K kernel code, 2473K rwdata, 4276K rodata, 2408K init, 2416K bss, 419348K reserved, 0K cma-reserved)
[    0.080568] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.78 BogoMIPS (lpj=11977576)
[    0.078219] smpboot: Total of 16 processors activated (95820.60 BogoMIPS)

48421248545263271686857490085154636772365803560414974276748581884116321088133291899715273926113801558829297696915858367485191695883989418283652114595557727741497087068659482060580464667923523490431<197>

140201363421381074253634712083167281429822397505564071949518160385440179417048963713578351715816777829285549746197415787520548265881874055622867523836519075469144130761249722466177487123748934907092564170143886817<213>

1475680167948348677023199001676499027<37>
95007960712993983339748172839742149283760171334960020213259401316050862576795002423858704269661519782747858669300337423927946336530985599898948612499871687222748675100147931771<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3916720953
Step 1 took 32529ms
Step 2 took 11253ms
********** Factor found in step 2: 1475680167948348677023199001676499027
Found probable prime factor of 37 digits: 1475680167948348677023199001676499027