40158166482057213103562478193525038971138325749345480942469646922313554491442885283945402846647064756933248387<110>

95290352109099817535683452296597792913083<41>
421429510891924613323930011380750009408902662687024674204055392048089<69>

Number: 56669_115
N=40158166482057213103562478193525038971138325749345480942469646922313554491442885283945402846647064756933248387
  ( 110 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=95290352109099817535683452296597792913083 (pp41)
 r2=421429510891924613323930011380750009408902662687024674204055392048089 (pp69)
Version: Msieve-1.39
Total time: 0.77 hours.
Scaled time: 0.92 units (timescale=1.198).
Factorization parameters were as follows:
n: 40158166482057213103562478193525038971138325749345480942469646922313554491442885283945402846647064756933248387
m: 100000000000000000000000
deg: 5
c5: 17
c0: 7
skew: 0.84
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 455001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64735 x 64965
Total sieving time: 0.77 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,116,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 0.77 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

66799486015688331413048161090075435589653725608566758691907701831234347207760026800744726843636555435714561<107>

601885235402110792210900200078722304656813123651<48>
110983759173059900845424929359819040363022947328137613794411<60>

Number: 56669_118
N=66799486015688331413048161090075435589653725608566758691907701831234347207760026800744726843636555435714561
  ( 107 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=601885235402110792210900200078722304656813123651 (pp48)
 r2=110983759173059900845424929359819040363022947328137613794411 (pp60)
Version: Msieve-1.39
Total time: 1.43 hours.
Scaled time: 1.71 units (timescale=1.198).
Factorization parameters were as follows:
n: 66799486015688331413048161090075435589653725608566758691907701831234347207760026800744726843636555435714561
m: 500000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 660001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83421 x 83653
Total sieving time: 1.43 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,120,5,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 1.43 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

41286788744900808368608644205244981354036180681576394681688451883611376783501235774303000682519190645851422107652193<116>

74312416334972309488106373427432495350587766049<47>
555583989609428877329491732475831696278630005512381518127600113742657<69>

Number: 56669_122
N=41286788744900808368608644205244981354036180681576394681688451883611376783501235774303000682519190645851422107652193
  ( 116 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=74312416334972309488106373427432495350587766049 (pp47)
 r2=555583989609428877329491732475831696278630005512381518127600113742657 (pp69)
Version: Msieve-1.39
Total time: 1.80 hours.
Scaled time: 2.14 units (timescale=1.188).
Factorization parameters were as follows:
n: 41286788744900808368608644205244981354036180681576394681688451883611376783501235774303000682519190645851422107652193
m: 2000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 760001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92352 x 92600
Total sieving time: 1.80 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,124,5,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,50000
total time: 1.80 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

65878662133488915633720942220528513751455616516752988633261898199458452664627642528077056373168179932086813<107>

589250921545742190593877958793077296379<39>
111800694279228050333176460851172320271408111898525575752334134383047<69>

Number: 56669_125
N=65878662133488915633720942220528513751455616516752988633261898199458452664627642528077056373168179932086813
  ( 107 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=589250921545742190593877958793077296379 (pp39)
 r2=111800694279228050333176460851172320271408111898525575752334134383047 (pp69)
Version: Msieve-1.39
Total time: 1.49 hours.
Scaled time: 1.77 units (timescale=1.189).
Factorization parameters were as follows:
n: 65878662133488915633720942220528513751455616516752988633261898199458452664627642528077056373168179932086813
m: 10000000000000000000000000
deg: 5
c5: 17
c0: 7
skew: 0.84
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 695001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 115556 x 115804
Total sieving time: 1.49 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,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 1.49 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

38001658213533105815170217251009223449526756408700233754905846420992652491153996354970359824289273987261397088491779011863<122>

25921348302963192499630665485734572989144837<44>
1466037096889321752043564176958402615677429746334965177187281480617951278229099<79>

Number: 56669_127
N=38001658213533105815170217251009223449526756408700233754905846420992652491153996354970359824289273987261397088491779011863
  ( 122 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=25921348302963192499630665485734572989144837
 r2=1466037096889321752043564176958402615677429746334965177187281480617951278229099
Version: 
Total time: 2.72 hours.
Scaled time: 1.08 units (timescale=0.397).
Factorization parameters were as follows:
n: 38001658213533105815170217251009223449526756408700233754905846420992652491153996354970359824289273987261397088491779011863
m: 20000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
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, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139261 x 139499
Total sieving time: 2.72 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 2.72 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

112563683288621931257893820232631592344395789058017227723897905579838046080414432892570091892364372398589051893<111>

1124466814397827153397456968673<31>
100104050957610405407547844556194856347545057379087033154669977098606751781653141<81>

Number: 56663_129
N=112563683288621931257893820232631592344395789058017227723897905579838046080414432892570091892364372398589051893
  ( 111 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1124466814397827153397456968673 (pp31)
 r2=100104050957610405407547844556194856347545057379087033154669977098606751781653141 (pp81)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 4.52 hours.
Scaled time: 2.14 units (timescale=0.473).
Factorization parameters were as follows:
name: 56663_129
n: 112563683288621931257893820232631592344395789058017227723897905579838046080414432892570091892364372398589051893
m: 100000000000000000000000000
deg: 5
c5: 17
c0: 70
skew: 1.33
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 890001)
Primes: RFBsize:84270, AFBsize:84768, largePrimes:2723010 encountered
Relations: rels:2604917, finalFF:205337
Max relations in full relation-set: 28
Initial matrix: 169103 x 205337 with sparse part having weight 14878093.
Pruned matrix : 154361 x 155270 with weight 8821894.
Total sieving time: 4.04 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 4.52 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

63731493595434967341012437950993608144671061585793864272607916454570032027829144609646555791788131891898934762993290475851<122>

9908855818710071772279685922495241980372071557069529<52>
6431771211676737322956945474073996162358335807731917122684415567681219<70>

Number: 56669_132
N=63731493595434967341012437950993608144671061585793864272607916454570032027829144609646555791788131891898934762993290475851
  ( 122 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=9908855818710071772279685922495241980372071557069529 (pp52)
 r2=6431771211676737322956945474073996162358335807731917122684415567681219 (pp70)
Version: Msieve-1.39
Total time: 3.46 hours.
Scaled time: 8.90 units (timescale=2.572).
Factorization parameters were as follows:
n: 63731493595434967341012437950993608144671061585793864272607916454570032027829144609646555791788131891898934762993290475851
m: 200000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1125001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165896 x 166141
Total sieving time: 3.46 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,134,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 3.46 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

35740047080153783115518769936901998057843794550231479875515313664113776127288387911538758294056072770099624330058073371793828703<128>

6354900264814491244184743748128071268238350143265482183046067<61>
5624013846139737478130811647155975800741681473273243786489905382309<67>

Number: 56669_133
N=35740047080153783115518769936901998057843794550231479875515313664113776127288387911538758294056072770099624330058073371793828703
  ( 128 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=6354900264814491244184743748128071268238350143265482183046067 (pp61)
 r2=5624013846139737478130811647155975800741681473273243786489905382309 (pp67)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 6.47 hours.
Scaled time: 16.65 units (timescale=2.575).
Factorization parameters were as follows:
name: 56669_133
n: 35740047080153783115518769936901998057843794550231479875515313664113776127288387911538758294056072770099624330058073371793828703
m: 500000000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 1280000
alim: 1280000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1280000/1280000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [640000, 1315001)
Primes: RFBsize:98610, AFBsize:98755, largePrimes:3463453 encountered
Relations: rels:3624793, finalFF:411535
Max relations in full relation-set: 28
Initial matrix: 197432 x 411535 with sparse part having weight 40428850.
Pruned matrix : 153381 x 154432 with weight 13499290.
Total sieving time: 6.23 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1280000,1280000,26,26,47,47,2.3,2.3,75000
total time: 6.47 hours.
 --------- CPU info (if available) ----------

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

932584180307896199826436755725362816413786179614293760112655727894376981585212686153454842386632332266149796537458541<117>

177690045721539954255192188637430523827<39>
5248376050110084584175551640517401731912747171702980190279975114064593981426783<79>

Number: 56669_134
N=932584180307896199826436755725362816413786179614293760112655727894376981585212686153454842386632332266149796537458541
  ( 117 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=177690045721539954255192188637430523827 (pp39)
 r2=5248376050110084584175551640517401731912747171702980190279975114064593981426783 (pp79)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 10.06 hours.
Scaled time: 25.81 units (timescale=2.564).
Factorization parameters were as follows:
name: 56669_134
n: 932584180307896199826436755725362816413786179614293760112655727894376981585212686153454842386632332266149796537458541
m: 1000000000000000000000000000
deg: 5
c5: 17
c0: 70
skew: 1.33
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1325001)
Primes: RFBsize:100021, AFBsize:100398, largePrimes:4120790 encountered
Relations: rels:5006144, finalFF:1098798
Max relations in full relation-set: 28
Initial matrix: 200484 x 1098798 with sparse part having weight 104332057.
Pruned matrix : 130458 x 131524 with weight 15361620.
Total sieving time: 9.84 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 10.06 hours.
 --------- CPU info (if available) ----------

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

23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371<137>

2098112473379109578751455496357626967749<40>
11300586918872044831776718863224420912853578411193077140307922192223698599776702875788745176999879<98>

Number: 56669_138
N=23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371
  ( 137 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=2098112473379109578751455496357626967749
 r2=11300586918872044831776718863224420912853578411193077140307922192223698599776702875788745176999879
Version: 
Total time: 8.22 hours.
Scaled time: 8.60 units (timescale=1.046).
Factorization parameters were as follows:
n: 23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371
m: 5000000000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 1540000
alim: 1540000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1540000/1540000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [770000, 1770001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 234388 x 234636
Total sieving time: 8.22 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,140,5,0,0,0,0,0,0,0,0,1540000,1540000,26,26,48,48,2.3,2.3,100000
total time: 8.22 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1161919452311830061295286320108968874314420959924846927818658944252231072336726982590444060540124940047493<106>

227233283820335395527908096833051840478717<42>
5113333015204387993644768090944545112606409701910513354681529129<64>

Number: 56669_142
N=1161919452311830061295286320108968874314420959924846927818658944252231072336726982590444060540124940047493
  ( 106 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=227233283820335395527908096833051840478717
 r2=5113333015204387993644768090944545112606409701910513354681529129
Version: 
Total time: 9.28 hours.
Scaled time: 3.70 units (timescale=0.398).
Factorization parameters were as follows:
n: 1161919452311830061295286320108968874314420959924846927818658944252231072336726982590444060540124940047493
m: 20000000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
type: snfs
lss: 1
rlim: 1770000
alim: 1770000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1770000/1770000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [885000, 1985001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 270587 x 270828
Total sieving time: 9.28 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,144,5,0,0,0,0,0,0,0,0,1770000,1770000,26,26,49,49,2.3,2.3,100000
total time: 9.28 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

566666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<144>

27982756612723364391161873357402661413921623326919<50>
20250566250825028908340470371472117580789090434207731128039313703339686354231140442904863190251<95>

Number: 56669_143
N=566666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 144 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=27982756612723364391161873357402661413921623326919 (pp50)
 r2=20250566250825028908340470371472117580789090434207731128039313703339686354231140442904863190251 (pp95)
Version: GGNFS-0.77.1-20060513-k8
Total time: 17.71 hours.
Scaled time: 35.25 units (timescale=1.991).
Factorization parameters were as follows:
name: 56669_143
n: 566666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 50000000000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

Factor base limits: 1870000/1870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [935000, 2435001)
Primes: RFBsize:139952, AFBsize:140182, largePrimes:4117559 encountered
Relations: rels:4277564, finalFF:355683
Max relations in full relation-set: 28
Initial matrix: 280201 x 355683 with sparse part having weight 38073609.
Pruned matrix : 254929 x 256394 with weight 25011096.
Total sieving time: 16.72 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1870000,1870000,26,26,49,49,2.3,2.3,100000
total time: 17.71 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

38514608823353377272641347653420217491397580608502431726839383981631414778701495850403463655142317875973712831<110>

18183749665123138488743833669798206342683<41>
2118078478457350688003065996325803900532514144740988502378387478125357<70>

Number: n
N=38514608823353377272641347653420217491397580608502431726839383981631414778701495850403463655142317875973712831
  ( 110 digits)
Divisors found:

Tue Mar 31 17:40:48 2009  prp41 factor: 18183749665123138488743833669798206342683
Tue Mar 31 17:40:48 2009  prp70 factor: 2118078478457350688003065996325803900532514144740988502378387478125357
Tue Mar 31 17:40:48 2009  elapsed time 00:33:50 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 13.42 hours.
Scaled time: 35.42 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_5_6_144_9
n: 38514608823353377272641347653420217491397580608502431726839383981631414778701495850403463655142317875973712831
skew: 37739.22
# norm 4.10e+15
c5: 20580
c4: -3779595533
c3: -179745057398388
c2: 4385492615468670600
c1: 77526627803213528726734
c0: -311510180055772786998885888
# alpha -6.59
Y1: 159942219547
Y0: -1133543719479839699269
# Murphy_E 9.84e-10
# M 33740392465434260340494028499491057358071137137340339477433159730462287355555309704189306725907028187501742996
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1600000, 2200141)
Primes: RFBsize:230209, AFBsize:230131, largePrimes:16112914 encountered
Relations: rels:14158601, finalFF:468589
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 786233 hash collisions in 14611703 relations
Msieve: matrix is 452695 x 452943 (125.8 MB)

Total sieving time: 12.98 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,28,28,56,56,2.6,2.6,100000
total time: 13.42 hours.
 --------- CPU info (if available) ----------

3084341678917386880850198417534629193145857975643907546729705176891505592880992672853761482215266377566809886537737<115>

3057392239329248851492355041710477577863419<43>
1008814518216364144881525304100909685341593542436645633932512347413758923<73>

Number: 56669_146
N=3084341678917386880850198417534629193145857975643907546729705176891505592880992672853761482215266377566809886537737
  ( 115 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=3057392239329248851492355041710477577863419 (pp43)
 r2=1008814518216364144881525304100909685341593542436645633932512347413758923 (pp73)
Version: Msieve-1.39
Total time: 10.06 hours.
Scaled time: 17.50 units (timescale=1.739).
Factorization parameters were as follows:
n: 3084341678917386880850198417534629193145857975643907546729705176891505592880992672853761482215266377566809886537737
m: 200000000000000000000000000000
deg: 5
c5: 85
c0: 112
skew: 1.06
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 373222 x 373467
Total sieving time: 10.06 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,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 10.06 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1180985673335975127458015295142275435200430185710279701518984234077262189735487732400421632109737794206544658338910111<118>

129573033117179924588512239938857447<36>
9114440288419780231543146000035797635625289495351245774582669051068725173190763913<82>

Number: 56669_147
N=1180985673335975127458015295142275435200430185710279701518984234077262189735487732400421632109737794206544658338910111
  ( 118 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=129573033117179924588512239938857447
 r2=9114440288419780231543146000035797635625289495351245774582669051068725173190763913
Version: 
Total time: 11.81 hours.
Scaled time: 30.29 units (timescale=2.564).
Factorization parameters were as follows:
name: 56669_147
n: 1180985673335975127458015295142275435200430185710279701518984234077262189735487732400421632109737794206544658338910111
m: 200000000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 340985 x 341233
Total sieving time: 11.81 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,149,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 11.81 hours.
 --------- CPU info (if available) ----------

12685490598988142060189052548698739487943122986927356219830691821817806004377075201132067447650111602237073638053619087<119>

62238710570922495573366663882681629<35>
203819945539082511597499093572063494216006110047531367428499987663572659507351099803<84>

Number: 56669_151
N=12685490598988142060189052548698739487943122986927356219830691821817806004377075201132067447650111602237073638053619087
  ( 119 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=62238710570922495573366663882681629 (pp35)
 r2=203819945539082511597499093572063494216006110047531367428499987663572659507351099803 (pp84)
Version: Msieve-1.39
Total time: 18.17 hours.
Scaled time: 46.72 units (timescale=2.571).
Factorization parameters were as follows:
n: 12685490598988142060189052548698739487943122986927356219830691821817806004377075201132067447650111602237073638053619087
m: 2000000000000000000000000000000
deg: 5
c5: 85
c0: 112
skew: 1.06
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, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 455657 x 455905
Total sieving time: 18.17 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,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 18.17 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

289656943566242790656253191449865856997978818429278474693874788949779475721229241273319289048107700792064187<108>

21420174711076672817390171047<29>
13522622829796860710833630636754411679637874455069340439451980743975628136252621<80>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=588125940
Step 1 took 6860ms
Step 2 took 5964ms
********** Factor found in step 2: 21420174711076672817390171047
Found probable prime factor of 29 digits: 21420174711076672817390171047
Probable prime cofactor  has 80 digits

GMP-ECM 6.2.2

357065525451641156120200774164267658922356500563774958906483887764727592925305315703790118228386209381669839613937393264975448909604850495719319948123<150>

2367635701915964097724774454907252952361<40>
150811007437796566561181108281747578101194546138167998981260017491864192266868547474304779267945342162030780643<111>

Number: 56669_156
N=357065525451641156120200774164267658922356500563774958906483887764727592925305315703790118228386209381669839613937393264975448909604850495719319948123
  ( 150 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=2367635701915964097724774454907252952361 (pp40)
 r2=150811007437796566561181108281747578101194546138167998981260017491864192266868547474304779267945342162030780643 (pp111)
Version: Msieve-1.39
Total time: 25.77 hours.
Scaled time: 66.27 units (timescale=2.571).
Factorization parameters were as follows:
n: 357065525451641156120200774164267658922356500563774958906483887764727592925305315703790118228386209381669839613937393264975448909604850495719319948123
m: 20000000000000000000000000000000
deg: 5
c5: 85
c0: 112
skew: 1.06
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 606794 x 607042
Total sieving time: 25.77 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,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 25.77 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

8616323719537841537759651358421384010839230693036831137814836804107326568016821978024742706935361081846090501105739109203<121>

1082985503619346698482704731511<31>
7956084075679697378771476734726063706643361276396233640080959594833325824674938385234259973<91>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 8616323719537841537759651358421384010839230693036831137814836804107326568016821978024742706935361081846090501105739109203 (121 digits)
Using B1=694000, B2=696689082, polynomial Dickson(3), sigma=3423227726
Step 1 took 7675ms
Step 2 took 3276ms
********** Factor found in step 2: 1082985503619346698482704731511
Found probable prime factor of 31 digits: 1082985503619346698482704731511
Probable prime cofactor 7956084075679697378771476734726063706643361276396233640080959594833325824674938385234259973 has 91 digits

7818983420572183313885508354149170315271535459558520090924152834647048606412117555333256200815847360324458229993451556830835483<127>

989305839297597455448441667592295923732537<42>
7903504770702278656014169956012092871449979941049288506442631913106346161258415273459<85>

Number: 56669_160
N=7818983420572183313885508354149170315271535459558520090924152834647048606412117555333256200815847360324458229993451556830835483
  ( 127 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=989305839297597455448441667592295923732537 (pp42)
 r2=7903504770702278656014169956012092871449979941049288506442631913106346161258415273459 (pp85)
Version: Msieve-1.39
Total time: 21.08 hours.
Scaled time: 36.66 units (timescale=1.739).
Factorization parameters were as follows:
n: 7818983420572183313885508354149170315271535459558520090924152834647048606412117555333256200815847360324458229993451556830835483
m: 100000000000000000000000000000000
deg: 5
c5: 17
c0: 7
skew: 0.84
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 678821 x 679069
Total sieving time: 21.08 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,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 21.08 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

42500106250265625664064160160400401001002502506256265640664101660254150635376588441471103677759194397985994964987412468531171327928319820799551998879997199993<158>

938555543805634759258867025023469462009038450912147151697593<60>
45282462535927402072019537780515353914840639175316981835821290735171335483580567771222872954596801<98>

Number: 56669_162
N=42500106250265625664064160160400401001002502506256265640664101660254150635376588441471103677759194397985994964987412468531171327928319820799551998879997199993
  ( 158 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=938555543805634759258867025023469462009038450912147151697593 (pp60)
 r2=45282462535927402072019537780515353914840639175316981835821290735171335483580567771222872954596801 (pp98)
Version: Msieve-1.39
Total time: 31.25 hours.
Scaled time: 54.35 units (timescale=1.739).
Factorization parameters were as follows:
n: 42500106250265625664064160160400401001002502506256265640664101660254150635376588441471103677759194397985994964987412468531171327928319820799551998879997199993
m: 200000000000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 662969 x 663217
Total sieving time: 31.25 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,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 31.25 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

33230924845131230638453045298820336196589723482764603996276526130903891126914846634423420467368882127568945743878401132370804286787<131>

148591516859296022679317547384453453317316739620861227614314937<63>
223639448250590176645911909739904742040253594405448053845320498425051<69>

Number: 56669_163
N=33230924845131230638453045298820336196589723482764603996276526130903891126914846634423420467368882127568945743878401132370804286787
  ( 131 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=148591516859296022679317547384453453317316739620861227614314937 (pp63)
 r2=223639448250590176645911909739904742040253594405448053845320498425051 (pp69)
Version: Msieve-1.39
Total time: 39.44 hours.
Scaled time: 68.59 units (timescale=1.739).
Factorization parameters were as follows:
n: 33230924845131230638453045298820336196589723482764603996276526130903891126914846634423420467368882127568945743878401132370804286787
m: 500000000000000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 750901 x 751149
Total sieving time: 39.44 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,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 39.44 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2188483321797042080199208926466285626226356003556927267628384147997644819195672652362693649569098240692076340501181169127676235601<130>

24684467871388862668725282027781049084155761016849459<53>
88658314742674979794126359600408571068896112076998888313552681943961026591339<77>

Number: 56669_164
N=2188483321797042080199208926466285626226356003556927267628384147997644819195672652362693649569098240692076340501181169127676235601
  ( 130 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=24684467871388862668725282027781049084155761016849459
 r2=88658314742674979794126359600408571068896112076998888313552681943961026591339
Version: 
Total time: 21.83 hours.
Scaled time: 52.00 units (timescale=2.382).
Factorization parameters were as follows:
n: 2188483321797042080199208926466285626226356003556927267628384147997644819195672652362693649569098240692076340501181169127676235601
m: 1000000000000000000000000000000000
deg: 5
c5: 17
c0: 70
skew: 1.33
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9658440
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 757735 x 757983
Total sieving time: 19.70 hours.
Total relation processing time: 0.84 hours.
Matrix solve time: 1.21 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 21.83 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core 2 Quad Q6700

9488169510859261975548862126800284710138279837509243307297657669910691674074118310280029600192922952587724790404344825790272107433974239825984442499<148>

7257637173651497122210754800561918501478911133555621<52>
1307335884095391993398822026800587406558775089321301467965713560222929048372608055123835019731719<97>

Number: n
N=9488169510859261975548862126800284710138279837509243307297657669910691674074118310280029600192922952587724790404344825790272107433974239825984442499
  ( 148 digits)
SNFS difficulty: 166 digits.
Divisors found:

Fri Apr 03 07:00:45 2009  prp52 factor: 7257637173651497122210754800561918501478911133555621
Fri Apr 03 07:00:45 2009  prp97 factor: 1307335884095391993398822026800587406558775089321301467965713560222929048372608055123835019731719
Fri Apr 03 07:00:45 2009  elapsed time 01:21:33 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 32.55 hours.
Scaled time: 85.90 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_5_6_164_9
n: 9488169510859261975548862126800284710138279837509243307297657669910691674074118310280029600192922952587724790404344825790272107433974239825984442499
skew: 0.84
deg: 5
c5: 17
c0: 7
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, 4500137)
Primes: RFBsize:348513, AFBsize:349046, largePrimes:15772259 encountered
Relations: rels:14854719, finalFF:735109
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1253373 hash collisions in 15777903 relations
Msieve: matrix is 840330 x 840578 (225.3 MB)

Total sieving time: 32.08 hours.
Total relation processing time: 0.47 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: 32.55 hours.
 --------- CPU info (if available) ----------

2483776336002808045620469682926685372479589939012661589982962543702359427428652288125288118566905146030280923577515033415821039268567270581541582447<148>

17750314911886256685469328373006864448252907163669091067552591<62>
139928578638319314678328668947574395690000477539047365624769415108634425048302841672417<87>

Number: n
N=2483776336002808045620469682926685372479589939012661589982962543702359427428652288125288118566905146030280923577515033415821039268567270581541582447
  ( 148 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sat Apr 25 15:59:55 2009  prp62 factor: 17750314911886256685469328373006864448252907163669091067552591
Sat Apr 25 15:59:55 2009  prp87 factor: 139928578638319314678328668947574395690000477539047365624769415108634425048302841672417
Sat Apr 25 15:59:55 2009  elapsed time 01:36:27 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 60.77 hours.
Scaled time: 160.36 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_5_6_167_9
n: 2483776336002808045620469682926685372479589939012661589982962543702359427428652288125288118566905146030280923577515033415821039268567270581541582447
m: 5000000000000000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2450000, 5951689)
Primes: RFBsize:341992, AFBsize:341883, largePrimes:17859820 encountered
Relations: rels:18199396, finalFF:629046
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2359672 hash collisions in 20150521 relations
Msieve: matrix is 817865 x 818113 (216.9 MB)

Total sieving time: 59.83 hours.
Total relation processing time: 0.94 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,28,28,56,56,2.4,2.4,100000
total time: 60.77 hours.
 --------- CPU info (if available) ----------

157056933711905524778803089990835875502683980495932921993570904277238202521034125849552236613535782536855994530119353897058859187976897971<138>

2324768203435506363366226453197815069<37>
67558104709023990501069888186016245427948179198146067231684361193242776832285202310303887339358758159<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2047747038
Step 1 took 42655ms
Step 2 took 14967ms
********** Factor found in step 2: 2324768203435506363366226453197815069
Found probable prime factor of 37 digits: 2324768203435506363366226453197815069
Probable prime cofactor 67558104709023990501069888186016245427948179198146067231684361193242776832285202310303887339358758159 has 101 digits

GMP-ECM 6.2.1

29960188302245130653008052824076987084897854019312120327669503595838274411136431987946668190548374005257236304337939258768352413639<131>

162573751231188186196793586329<30>

184286750323182314380444905316628685751186302523555068558316595554862239297139529533915383571885271391<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3231751289
Step 1 took 38311ms
Step 2 took 14187ms
********** Factor found in step 2: 162573751231188186196793586329
Found probable prime factor of 30 digits: 162573751231188186196793586329
Composite cofactor 184286750323182314380444905316628685751186302523555068558316595554862239297139529533915383571885271391 has 102 digits

GMP-ECM 6.2.1

184286750323182314380444905316628685751186302523555068558316595554862239297139529533915383571885271391<102>

102486391641802624865794677615608882159<39>
1798158246875135173916969236304899898630006002386192375498498449<64>

Wed Jun 17 10:43:02 2009  Msieve v. 1.42
Wed Jun 17 10:43:02 2009  random seeds: 433ed298 64d9e482
Wed Jun 17 10:43:02 2009  factoring 184286750323182314380444905316628685751186302523555068558316595554862239297139529533915383571885271391 (102 digits)
Wed Jun 17 10:43:03 2009  searching for 15-digit factors
Wed Jun 17 10:43:04 2009  commencing number field sieve (102-digit input)
Wed Jun 17 10:43:04 2009  R0: -48886729453583034047
Wed Jun 17 10:43:04 2009  R1:  27538271657
Wed Jun 17 10:43:04 2009  A0:  1655221487135049353428650
Wed Jun 17 10:43:04 2009  A1:  139986539947248807243
Wed Jun 17 10:43:04 2009  A2: -493487056659667
Wed Jun 17 10:43:04 2009  A3: -286852384879
Wed Jun 17 10:43:04 2009  A4: -12793664
Wed Jun 17 10:43:04 2009  A5:  660
Wed Jun 17 10:43:04 2009  skew 23388.86, size 1.238991e-009, alpha -4.826938, combined = 2.969698e-009
Wed Jun 17 10:43:04 2009  
Wed Jun 17 10:43:04 2009  commencing relation filtering
Wed Jun 17 10:43:04 2009  commencing duplicate removal, pass 1
Wed Jun 17 10:43:38 2009  found 226641 hash collisions in 3981204 relations
Wed Jun 17 10:43:49 2009  added 30399 free relations
Wed Jun 17 10:43:49 2009  commencing duplicate removal, pass 2
Wed Jun 17 10:43:54 2009  found 206333 duplicates and 3805269 unique relations
Wed Jun 17 10:43:54 2009  memory use: 36.7 MB
Wed Jun 17 10:43:54 2009  reading rational ideals above 2162688
Wed Jun 17 10:43:54 2009  reading algebraic ideals above 2162688
Wed Jun 17 10:43:54 2009  commencing singleton removal, pass 1
Wed Jun 17 10:44:30 2009  relations with 0 large ideals: 87613
Wed Jun 17 10:44:30 2009  relations with 1 large ideals: 607266
Wed Jun 17 10:44:30 2009  relations with 2 large ideals: 1422964
Wed Jun 17 10:44:30 2009  relations with 3 large ideals: 1293039
Wed Jun 17 10:44:30 2009  relations with 4 large ideals: 365325
Wed Jun 17 10:44:30 2009  relations with 5 large ideals: 0
Wed Jun 17 10:44:30 2009  relations with 6 large ideals: 29062
Wed Jun 17 10:44:30 2009  relations with 7+ large ideals: 0
Wed Jun 17 10:44:30 2009  3805269 relations and about 3828438 large ideals
Wed Jun 17 10:44:30 2009  commencing singleton removal, pass 2
Wed Jun 17 10:45:06 2009  found 1847305 singletons
Wed Jun 17 10:45:06 2009  current dataset: 1957964 relations and about 1579102 large ideals
Wed Jun 17 10:45:06 2009  commencing singleton removal, pass 3
Wed Jun 17 10:45:31 2009  found 388897 singletons
Wed Jun 17 10:45:31 2009  current dataset: 1569067 relations and about 1160524 large ideals
Wed Jun 17 10:45:31 2009  commencing singleton removal, final pass
Wed Jun 17 10:45:50 2009  memory use: 24.2 MB
Wed Jun 17 10:45:50 2009  commencing in-memory singleton removal
Wed Jun 17 10:45:50 2009  begin with 1569067 relations and 1190472 unique ideals
Wed Jun 17 10:45:51 2009  reduce to 1319249 relations and 933729 ideals in 13 passes
Wed Jun 17 10:45:51 2009  max relations containing the same ideal: 16
Wed Jun 17 10:45:51 2009  reading rational ideals above 100000
Wed Jun 17 10:45:51 2009  reading algebraic ideals above 100000
Wed Jun 17 10:45:51 2009  commencing singleton removal, final pass
Wed Jun 17 10:46:09 2009  keeping 1233284 ideals with weight <= 25, new excess is 99584
Wed Jun 17 10:46:11 2009  memory use: 34.3 MB
Wed Jun 17 10:46:11 2009  commencing in-memory singleton removal
Wed Jun 17 10:46:11 2009  begin with 1332898 relations and 1233284 unique ideals
Wed Jun 17 10:46:12 2009  reduce to 1310030 relations and 1144254 ideals in 12 passes
Wed Jun 17 10:46:12 2009  max relations containing the same ideal: 25
Wed Jun 17 10:46:13 2009  removing 196021 relations and 170892 ideals in 25129 cliques
Wed Jun 17 10:46:13 2009  commencing in-memory singleton removal
Wed Jun 17 10:46:13 2009  begin with 1114009 relations and 1144254 unique ideals
Wed Jun 17 10:46:14 2009  reduce to 1095209 relations and 954131 ideals in 9 passes
Wed Jun 17 10:46:14 2009  max relations containing the same ideal: 25
Wed Jun 17 10:46:15 2009  removing 146412 relations and 121283 ideals in 25129 cliques
Wed Jun 17 10:46:15 2009  commencing in-memory singleton removal
Wed Jun 17 10:46:15 2009  begin with 948797 relations and 954131 unique ideals
Wed Jun 17 10:46:15 2009  reduce to 934995 relations and 818721 ideals in 7 passes
Wed Jun 17 10:46:15 2009  max relations containing the same ideal: 25
Wed Jun 17 10:46:16 2009  relations with 0 large ideals: 4286
Wed Jun 17 10:46:16 2009  relations with 1 large ideals: 38985
Wed Jun 17 10:46:16 2009  relations with 2 large ideals: 142845
Wed Jun 17 10:46:16 2009  relations with 3 large ideals: 264588
Wed Jun 17 10:46:16 2009  relations with 4 large ideals: 270213
Wed Jun 17 10:46:16 2009  relations with 5 large ideals: 154225
Wed Jun 17 10:46:16 2009  relations with 6 large ideals: 50521
Wed Jun 17 10:46:16 2009  relations with 7+ large ideals: 9332
Wed Jun 17 10:46:16 2009  commencing 2-way merge
Wed Jun 17 10:46:16 2009  reduce to 557916 relation sets and 441642 unique ideals
Wed Jun 17 10:46:16 2009  commencing full merge
Wed Jun 17 10:46:24 2009  memory use: 36.4 MB
Wed Jun 17 10:46:24 2009  found 262675 cycles, need 247842
Wed Jun 17 10:46:24 2009  weight of 247842 cycles is about 17409653 (70.24/cycle)
Wed Jun 17 10:46:24 2009  distribution of cycle lengths:
Wed Jun 17 10:46:24 2009  1 relations: 23301
Wed Jun 17 10:46:24 2009  2 relations: 24561
Wed Jun 17 10:46:24 2009  3 relations: 24959
Wed Jun 17 10:46:24 2009  4 relations: 23784
Wed Jun 17 10:46:24 2009  5 relations: 22348
Wed Jun 17 10:46:24 2009  6 relations: 19801
Wed Jun 17 10:46:24 2009  7 relations: 18209
Wed Jun 17 10:46:24 2009  8 relations: 16045
Wed Jun 17 10:46:24 2009  9 relations: 14195
Wed Jun 17 10:46:24 2009  10+ relations: 60639
Wed Jun 17 10:46:24 2009  heaviest cycle: 19 relations
Wed Jun 17 10:46:24 2009  commencing cycle optimization
Wed Jun 17 10:46:25 2009  start with 1626188 relations
Wed Jun 17 10:46:29 2009  pruned 47838 relations
Wed Jun 17 10:46:29 2009  memory use: 41.4 MB
Wed Jun 17 10:46:29 2009  distribution of cycle lengths:
Wed Jun 17 10:46:29 2009  1 relations: 23301
Wed Jun 17 10:46:29 2009  2 relations: 25154
Wed Jun 17 10:46:29 2009  3 relations: 26000
Wed Jun 17 10:46:29 2009  4 relations: 24495
Wed Jun 17 10:46:29 2009  5 relations: 23048
Wed Jun 17 10:46:29 2009  6 relations: 20446
Wed Jun 17 10:46:29 2009  7 relations: 18605
Wed Jun 17 10:46:29 2009  8 relations: 16292
Wed Jun 17 10:46:29 2009  9 relations: 14364
Wed Jun 17 10:46:29 2009  10+ relations: 56137
Wed Jun 17 10:46:29 2009  heaviest cycle: 19 relations
Wed Jun 17 10:46:29 2009  RelProcTime: 193
Wed Jun 17 10:46:29 2009  
Wed Jun 17 10:46:29 2009  commencing linear algebra
Wed Jun 17 10:46:29 2009  read 247842 cycles
Wed Jun 17 10:46:30 2009  cycles contain 843980 unique relations
Wed Jun 17 10:46:43 2009  read 843980 relations
Wed Jun 17 10:46:44 2009  using 20 quadratic characters above 67106562
Wed Jun 17 10:46:49 2009  building initial matrix
Wed Jun 17 10:47:00 2009  memory use: 91.7 MB
Wed Jun 17 10:47:01 2009  read 247842 cycles
Wed Jun 17 10:47:01 2009  matrix is 247647 x 247842 (70.5 MB) with weight 23537024 (94.97/col)
Wed Jun 17 10:47:01 2009  sparse part has weight 16510401 (66.62/col)
Wed Jun 17 10:47:04 2009  filtering completed in 2 passes
Wed Jun 17 10:47:04 2009  matrix is 246637 x 246832 (70.4 MB) with weight 23478090 (95.12/col)
Wed Jun 17 10:47:04 2009  sparse part has weight 16482270 (66.78/col)
Wed Jun 17 10:47:05 2009  read 246832 cycles
Wed Jun 17 10:47:06 2009  matrix is 246637 x 246832 (70.4 MB) with weight 23478090 (95.12/col)
Wed Jun 17 10:47:06 2009  sparse part has weight 16482270 (66.78/col)
Wed Jun 17 10:47:06 2009  saving the first 48 matrix rows for later
Wed Jun 17 10:47:06 2009  matrix is 246589 x 246832 (67.2 MB) with weight 18694202 (75.74/col)
Wed Jun 17 10:47:06 2009  sparse part has weight 16146110 (65.41/col)
Wed Jun 17 10:47:06 2009  matrix includes 64 packed rows
Wed Jun 17 10:47:06 2009  using block size 65536 for processor cache size 3072 kB
Wed Jun 17 10:47:08 2009  commencing Lanczos iteration
Wed Jun 17 10:47:08 2009  memory use: 65.0 MB
Wed Jun 17 10:55:12 2009  lanczos halted after 3903 iterations (dim = 246589)
Wed Jun 17 10:55:13 2009  recovered 36 nontrivial dependencies
Wed Jun 17 10:55:13 2009  BLanczosTime: 524
Wed Jun 17 10:55:13 2009  
Wed Jun 17 10:55:13 2009  commencing square root phase
Wed Jun 17 10:55:13 2009  reading relations for dependency 1
Wed Jun 17 10:55:13 2009  read 123117 cycles
Wed Jun 17 10:55:14 2009  cycles contain 520801 unique relations
Wed Jun 17 10:55:20 2009  read 520801 relations
Wed Jun 17 10:55:22 2009  multiplying 420376 relations
Wed Jun 17 10:56:05 2009  multiply complete, coefficients have about 15.35 million bits
Wed Jun 17 10:56:06 2009  initial square root is modulo 656468557
Wed Jun 17 10:57:29 2009  reading relations for dependency 2
Wed Jun 17 10:57:30 2009  read 123574 cycles
Wed Jun 17 10:57:30 2009  cycles contain 523003 unique relations
Wed Jun 17 10:57:43 2009  read 523003 relations
Wed Jun 17 10:57:45 2009  multiplying 421782 relations
Wed Jun 17 10:58:28 2009  multiply complete, coefficients have about 15.40 million bits
Wed Jun 17 10:58:29 2009  initial square root is modulo 703063901
Wed Jun 17 10:59:51 2009  sqrtTime: 278
Wed Jun 17 10:59:51 2009  prp39 factor: 102486391641802624865794677615608882159
Wed Jun 17 10:59:51 2009  prp64 factor: 1798158246875135173916969236304899898630006002386192375498498449
Wed Jun 17 10:59:51 2009  elapsed time 00:16:49
total time 4,5 hours

Msieve v. 1.42 / GGNFS

Intel Core 2 Duo / Windows Vista 32bit

7129206153413531758951558026993051254406146721036214297067700408385122159268465684086680228991256208874335001724510862278282738403559343733329457692683512107<157>

310692117837628822353435398753<30>
22946208622966530086181294683282074760948833484150202522041144943775782218378532782991915144433011255535400598496135511752228619<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1603423327
Step 1 took 52394ms
Step 2 took 17646ms
********** Factor found in step 2: 310692117837628822353435398753
Found probable prime factor of 30 digits: 310692117837628822353435398753
Probable prime cofactor 22946208622966530086181294683282074760948833484150202522041144943775782218378532782991915144433011255535400598496135511752228619 has 128 digits

11932629522374285782124749213640542099710079365609160898965555315320358989385675353324614239915648242803796733004156021027609113677873241<137>

107942261039472691848897739227392029805616932642988451157<57>
110546410714990687261685528449548157540828943874884907631334337492364227515002613<81>

Number: 56669_172
N=11932629522374285782124749213640542099710079365609160898965555315320358989385675353324614239915648242803796733004156021027609113677873241
  ( 137 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=107942261039472691848897739227392029805616932642988451157 (pp57)
 r2=110546410714990687261685528449548157540828943874884907631334337492364227515002613 (pp81)
Version: Msieve-1.40
Total time: 92.94 hours.
Scaled time: 302.41 units (timescale=3.254).
Factorization parameters were as follows:
name: 56669_172
n: 11932629522374285782124749213640542099710079365609160898965555315320358989385675353324614239915648242803796733004156021027609113677873241
m: 10000000000000000000000000000000000
deg: 5
c5: 1700
c0: 7
skew: 0.33
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1076420 x 1076667
Total sieving time: 90.35 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 92.94 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

637534347162953404114646676589701270155929650709931997586369965681901112422431758510989779574374569429928037373013471100755553205428942484276340387838394793519500863109<168>

7509372153663948212960430553<28>
84898488730764227478927360584223002525621599992773503802613527890415688576632781607023486143938568208272345414025486917663448442946997504653<140>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1914745003
Step 1 took 9889ms
Step 2 took 8913ms
********** Factor found in step 2: 7509372153663948212960430553
Found probable prime factor of 28 digits: 7509372153663948212960430553
Probable prime cofactor  has 140 digits

GMP-ECM 6.2.2

341650307414736714256380219532004651458659341858759153280065137617779238698737536679845351235268832189259421201290441487574916875137132624882966251<147>

3362430737615730215991085344016157831<37>
101608132352786518372927956587805706707814182881215772784308390106528107132748119483258654842127805271572477821<111>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3088401701
Step 1 took 13322ms
Step 2 took 5814ms
********** Factor found in step 2: 3362430737615730215991085344016157831
Found probable prime factor of 37 digits: 3362430737615730215991085344016157831
Probable prime cofactor 101608132352786518372927956587805706707814182881215772784308390106528107132748119483258654842127805271572477821 has 111 digits

GMP-ECM 6.2.3

566666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<177>

1332900038363680881394620148129664059<37>
425138157668843915788962204505688086610791867911821343666941015479820678943431096734573619034309056634425509765000685116141894382558408244791<141>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 566666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669 (177 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3212400340
Step 1 took 19100ms
Step 2 took 7720ms
********** Factor found in step 2: 1332900038363680881394620148129664059
Found probable prime factor of 37 digits: 1332900038363680881394620148129664059
Probable prime cofactor 425138157668843915788962204505688086610791867911821343666941015479820678943431096734573619034309056634425509765000685116141894382558408244791 has 141 digits

Core 2 Quad Q6700

4444143453905149828338014713565546168956095662663020938970248666523888960428624512333025732118538563902949325615607765463967819212848924515291623236183168274903968241<166>

35874751213845534427557324813609169588404599<44>

123879422254779930645025578396011715535155888526952481701172242600777018230449287128967398688770996791817686717888802163159<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3314608363
Step 1 took 23005ms
Step 2 took 9321ms
********** Factor found in step 2: 35874751213845534427557324813609169588404599
Found probable prime factor of 44 digits: 35874751213845534427557324813609169588404599
Composite cofactor 123879422254779930645025578396011715535155888526952481701172242600777018230449287128967398688770996791817686717888802163159 has 123 digits

GMP-ECM 6.3

123879422254779930645025578396011715535155888526952481701172242600777018230449287128967398688770996791817686717888802163159<123>

276054486528726654388228441487846831605628929758863<51>
448749896487876307208160761381881638186439299324047651446917154964110393<72>

N = 123879422254779930645025578396011715535155888526952481701172242600777018230449287128967398688770996791817686717888802163159 (123 digits)
Divisors found:
r1=276054486528726654388228441487846831605628929758863 (pp51)
r2=448749896487876307208160761381881638186439299324047651446917154964110393 (pp72)
Version: Msieve v. 1.48
Total time: 17.44 hours.
Factorization parameters were as follows:
n: 123879422254779930645025578396011715535155888526952481701172242600777018230449287128967398688770996791817686717888802163159
Y0: -778938785664815883457739
Y1: 10121849854033
c0: 14040146224609356489045686456880
c1: -167352244966337351682941852
c2: -666119364005110173584
c3: 34769452923145
c4: -93505296
c5: 432
skew: 736528.42 
type: gnfs
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10934911
Relations: 1340662 relations
Pruned matrix : 781688 x 781923
Polynomial selection time: 0.00 hours.
Total sieving time: 16.61 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.73 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,4900000,4900000,27,27,53,53,2.5,2.5,100000
total time: 17.44 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

8174277056679591650348714401988644007828491866002823490790166746048201137675310420872345134898663527478468645413327152506643990002701636553578927257366154671530056085933<169>

11710955439085450767528206458166257593709919023360247978843119295353795708612921<80>
698002575383204546624827677856180469295705796721785715817049701210595816089266314011338773<90>

N=8174277056679591650348714401988644007828491866002823490790166746048201137675310420872345134898663527478468645413327152506643990002701636553578927257366154671530056085933
  ( 169 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=11710955439085450767528206458166257593709919023360247978843119295353795708612921 (pp80)
 r2=698002575383204546624827677856180469295705796721785715817049701210595816089266314011338773 (pp90)
Version: Msieve v. 1.47
Total time:
Scaled time: 411.79 units (timescale=1.871).
Factorization parameters were as follows:
n: 8174277056679591650348714401988644007828491866002823490790166746048201137675310420872345134898663527478468645413327152506643990002701636553578927257366154671530056085933
m: 100000000000000000000000000000000000
deg: 5
c5: 17000
c0: 7
skew: 0.21
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 1600000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 9800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1441540 x 1441771
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time:

3303949747324934706598276366955490701015885576632365191581634313284155499579972570139154258349032322678920561958862851673218049793631685980521675723681130558701349<163>

884286918403231211878469581522959483576221745421027315154049863<63>
3736287033727606448727856525335589847630181643047681128839102123327240843342879690642216074124521523<100>

Number: 56669_179
N = 3303949747324934706598276366955490701015885576632365191581634313284155499579972570139154258349032322678920561958862851673218049793631685980521675723681130558701349 (163 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=884286918403231211878469581522959483576221745421027315154049863 (pp63)
r2=3736287033727606448727856525335589847630181643047681128839102123327240843342879690642216074124521523 (pp100)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 88.02 hours.
Factorization parameters were as follows:
n: 3303949747324934706598276366955490701015885576632365191581634313284155499579972570139154258349032322678920561958862851673218049793631685980521675723681130558701349
m: 500000000000000000000000000000000000
deg: 5
c5: 272
c0: 35
skew: 0.66
# Murphy_E = 1e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18914764
Relations: 2320912 relations
Pruned matrix : 1388652 x 1388877
Polynomial selection time: 0.00 hours.
Total sieving time: 85.21 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.52 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,400000
total time: 88.02 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371<179>

554926436167528943257699327435205874475108632793<48>
3523835766306910904207910803375786328587724571921<49>
12124914694059309969702016472528715477560656576791053322559643089873095090003003307<83>

Number: 56669_180
N=23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371
  ( 179 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=554926436167528943257699327435205874475108632793 (pp48)
 r2=3523835766306910904207910803375786328587724571921 (pp49)
 r3=12124914694059309969702016472528715477560656576791053322559643089873095090003003307 (pp83)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 266.79 hours.
Scaled time: 678.70 units (timescale=2.544).
Factorization parameters were as follows:
name: 56669_180
n: 23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371
m: 1000000000000000000000000000000000000
deg: 5
c5: 17
c0: 7
skew: 0.84
type: snfs
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [3000000, 6300001)
Primes: RFBsize:412849, AFBsize:413446, largePrimes:18103909 encountered
Relations: rels:19163581, finalFF:1171199
Max relations in full relation-set: 28
Initial matrix: 826360 x 1171199 with sparse part having weight 155619666.
Pruned matrix : 656224 x 660419 with weight 152393023.
Total sieving time: 254.35 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 11.67 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 266.79 hours.
 --------- CPU info (if available) ----------

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

154756175617295909832747418002529631215570468826080579013886568577048490444596969102948108468696150950452096196087514448653778484111781843<138>

320801376174706486530449376581851469362059241<45>
482404961794854127660327707672694421121528140601519607570231100133830727630294625278297567323<93>

N=154756175617295909832747418002529631215570468826080579013886568577048490444596969102948108468696150950452096196087514448653778484111781843
  ( 138 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=320801376174706486530449376581851469362059241 (pp45)
 r2=482404961794854127660327707672694421121528140601519607570231100133830727630294625278297567323 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 158.09 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 154756175617295909832747418002529631215570468826080579013886568577048490444596969102948108468696150950452096196087514448653778484111781843
m: 1000000000000000000000000000000000000
deg: 5
c5: 170
c0: 7
skew: 0.53
# Murphy_E = 7.285e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 11800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1555253 x 1555482
Total sieving time: 155.41 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.29 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 158.09 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).

23794517267331261530718091937255817514528302388563627169027712634454768932142655689276077006336200012793052224906337081809609429795186593105216695968914842641958439936269884693169<179>

1909371924869851302649714847256763860533<40>

12461960374196436055720590007683928054218374877066989312361949971133799082404460422570765649635829025773078205178509197929750407572765729293<140>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1534556179
Step 1 took 21297ms
Step 2 took 8517ms
********** Factor found in step 2: 1909371924869851302649714847256763860533
Found probable prime factor of 40 digits: 1909371924869851302649714847256763860533
Composite cofactor 12461960374196436055720590007683928054218374877066989312361949971133799082404460422570765649635829025773078205178509197929750407572765729293 has 140 digits

GMP-ECM 6.2.1

12461960374196436055720590007683928054218374877066989312361949971133799082404460422570765649635829025773078205178509197929750407572765729293<140>

5124172426862591527993743217843926217<37>
2431994737114378672034241234074769137183424168356159641033087179976549773766608679855816455013117557029<103>

********** Factor found in step 2: 5124172426862591527993743217843926217
Found probable prime factor of 37 digits: 5124172426862591527993743217843926217
Probable prime cofactor 2431994737114378672034241234074769137183424168356159641033087179976549773766608679855816455013117557029 has 103 digits

GMP-ECM 6.2.1

24974893837724204194028490014555006343447161939764176377728349833270418673248651175846708786856544930046753467028113272812721463796713<134>

7448704000548871866037195876094639<34>
3352918015789576525799969089981101172451534770425292982169845160092290224867438420677824398229928167<100>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1896494778
Step 1 took 38382ms
Step 2 took 17907ms
********** Factor found in step 2: 7448704000548871866037195876094639
Found probable prime factor of 34 digits: 7448704000548871866037195876094639
Probable prime cofactor 3352918015789576525799969089981101172451534770425292982169845160092290224867438420677824398229928167 has 100 digits

209634432587682585816059093805197994327208554076488522198075303874133365003554481682444069053385925420127365733454555365745808309724633555322745946256488516909159<162>

61289270164971051877970129957310645173<38>
3420410000370602394203628380590050694195066807606076679864339439646474740468077771851897366599478341652510529632974230672683<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2586134182
Step 1 took 19523ms
Step 2 took 2635ms
********** Factor found in step 2: 61289270164971051877970129957310645173
Found probable prime factor of 38 digits: 61289270164971051877970129957310645173

707176312984977321013947639785575198586400207318189483728493555004947926971071786227065097921624321440128905117916903057453388294702558306935973654394306491531<159>

4438327430312517769340755744973789952563320980853116650587<58>
159333966249349617114996320894438042441913009349433437642776991907343617819270361770011331053354829713<102>

707176312984977321013947639785575198586400207318189483728493555004947926971071786227065097921624321440128905117916903057453388294702558306935973654394306491531=4438327430312517769340755744973789952563320980853116650587*159333966249349617114996320894438042441913009349433437642776991907343617819270361770011331053354829713

n: 707176312984977321013947639785575198586400207318189483728493555004947926971071786227065097921624321440128905117916903057453388294702558306935973654394306491531
skew: 0.66
type: snfs
c0: 35
c5: 272
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 272*x^5+35
# g(x) = -x+50000000000000000000000000000000000000

Info:Square Root: Factors: 4438327430312517769340755744973789952563320980853116650587 159333966249349617114996320894438042441913009349433437642776991907343617819270361770011331053354829713
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.71/1.99592
Info:Generate Free Relations: Total cpu/real time for freerel: 98.8/25.5719
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25350869
Info:Lattice Sieving: Average J: 1894.93 for 2066878 special-q, max bucket fill -bkmult 1.0,1s:1.080580
Info:Lattice Sieving: Total time: 426300s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.45/60.3219
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.900000000000006s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 414.56/263.125
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 227.19999999999996s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 334.05/199.194
Info:Filtering - Merging: Total cpu/real time for merge: 283.63/81.4272
Info:Filtering - Merging: Total cpu/real time for replay: 75.53/64.047
Info:Linear Algebra: Total cpu/real time for bwc: 64994.2/16694.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 10625.16, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61696 iterations)
Info:Linear Algebra: Lingen CPU time 406.95, WCT time 117.69
Info:Linear Algebra: Mksol: WCT time 5843.4, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30976 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 70.24/29.0824
Info:Square Root: Total cpu/real time for sqrt: 537.01/167.656
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 883184/59966.5
Info:root: Cleaning up computation data in /tmp/cado.74hz5x5n
4438327430312517769340755744973789952563320980853116650587 159333966249349617114996320894438042441913009349433437642776991907343617819270361770011331053354829713

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

10867939028728936324365489103610838642381156651036400274479045260318067086921909397357432432440123423901504871698044498983134967540116329347110114299630552792830950523609<170>

254920505937849132631186234616804181941351<42>
42632659105810001279499017444735452277945872075574595680534027948314461876106541672292383762871568568647832788061103383391968959<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3684943462
Step 1 took 19496ms
Step 2 took 8227ms
********** Factor found in step 2: 254920505937849132631186234616804181941351
Found probable prime factor of 42 digits: 254920505937849132631186234616804181941351

120736067213226972002335318382198710184442014947714854887588434675373272751427722466913879529586201558068636533021081067532432732805386918801029407<147>

1023351744350064767711254152126663099461143908302406938930971057810786459<73>
117981004947528558578425998809447568101076343107529694302476900367958708173<75>

p73 factor: 1023351744350064767711254152126663099461143908302406938930971057810786459
p75 factor: 117981004947528558578425998809447568101076343107529694302476900367958708173


Msieve v. 1.54 (SVN 1034)
random seeds: 5cd6a7e9 a1f4c556
factoring 120736067213226972002335318382198710184442014947714854887588434675373272751427722466913879529586201558068636533021081067532432732805386918801029407 (147 digits)
searching for 15-digit factors
commencing number field sieve (147-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 17000
skew 1.00, size 8.518e-14, alpha 0.528, combined = 1.755e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 606363 hash collisions in 36504078 relations
added 727068 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37231146 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1230.9 MB
keeping 40103016 ideals with weight <= 200, target excess is 196400
commencing in-memory singleton removal
begin with 37231146 relations and 40103016 unique ideals
reduce to 14021190 relations and 12878103 ideals in 13 passes
max relations containing the same ideal: 104
removing 2143728 relations and 1743729 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11877462 relations and 12878103 unique ideals
reduce to 11594163 relations and 10840830 ideals in 10 passes
max relations containing the same ideal: 92
removing 1733936 relations and 1333936 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9860227 relations and 10840830 unique ideals
reduce to 9631553 relations and 9270074 ideals in 8 passes
max relations containing the same ideal: 83
removing 711656 relations and 578001 ideals in 133655 cliques
commencing in-memory singleton removal
begin with 8919897 relations and 9270074 unique ideals
reduce to 8877436 relations and 8649016 ideals in 7 passes
max relations containing the same ideal: 79
relations with 0 large ideals: 4192
relations with 1 large ideals: 7986
relations with 2 large ideals: 71049
relations with 3 large ideals: 360887
relations with 4 large ideals: 1086949
relations with 5 large ideals: 2043569
relations with 6 large ideals: 2506915
relations with 7+ large ideals: 2795889
commencing 2-way merge
reduce to 5508633 relation sets and 5280213 unique ideals
commencing full merge
memory use: 627.6 MB
found 2571008 cycles, need 2548413
weight of 2548413 cycles is about 229854034 (90.19/cycle)
distribution of cycle lengths:
1 relations: 217283
2 relations: 219918
3 relations: 226358
4 relations: 220299
5 relations: 210535
6 relations: 194045
7 relations: 181182
8 relations: 163870
9 relations: 146979
10+ relations: 767944
heaviest cycle: 27 relations
commencing cycle optimization
start with 18920425 relations
pruned 641546 relations
memory use: 556.4 MB
distribution of cycle lengths:
1 relations: 217283
2 relations: 225222
3 relations: 235144
4 relations: 227528
5 relations: 218484
6 relations: 199740
7 relations: 186914
8 relations: 167439
9 relations: 149305
10+ relations: 721354
heaviest cycle: 27 relations
RelProcTime: 968
elapsed time 00:16:09


Msieve v. 1.54 (SVN 1034)
random seeds: 166489fe c7333039
factoring 120736067213226972002335318382198710184442014947714854887588434675373272751427722466913879529586201558068636533021081067532432732805386918801029407 (147 digits)
searching for 15-digit factors
commencing number field sieve (147-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 17000
skew 1.00, size 8.518e-14, alpha 0.528, combined = 1.755e-11 rroots = 1

commencing linear algebra
read 2548413 cycles
cycles contain 8714184 unique relations
read 8714184 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1072.4 MB
read 2548413 cycles
matrix is 2548236 x 2548413 (937.8 MB) with weight 275841998 (108.24/col)
sparse part has weight 217812275 (85.47/col)
filtering completed in 2 passes
matrix is 2547562 x 2547739 (937.8 MB) with weight 275816964 (108.26/col)
sparse part has weight 217802815 (85.49/col)
matrix starts at (0, 0)
matrix is 2547562 x 2547739 (937.8 MB) with weight 275816964 (108.26/col)
sparse part has weight 217802815 (85.49/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2547514 x 2547739 (893.9 MB) with weight 226481635 (88.90/col)
sparse part has weight 208858978 (81.98/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 851.9 MB
linear algebra at 0.1%, ETA 3h14m
checkpointing every 820000 dimensions
lanczos halted after 40289 iterations (dim = 2547512)
recovered 37 nontrivial dependencies
BLanczosTime: 11428
elapsed time 03:10:28


Msieve v. 1.54 (SVN 1034)
random seeds: f71c2875 a57009b6
factoring 120736067213226972002335318382198710184442014947714854887588434675373272751427722466913879529586201558068636533021081067532432732805386918801029407 (147 digits)
searching for 15-digit factors
commencing number field sieve (147-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 17000
skew 1.00, size 8.518e-14, alpha 0.528, combined = 1.755e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1274471 cycles
cycles contain 4357540 unique relations
read 4357540 relations
multiplying 4357540 relations
multiply complete, coefficients have about 154.00 million bits
initial square root is modulo 336491
GCD is 1, no factor found
reading relations for dependency 2
read 1274054 cycles
cycles contain 4356776 unique relations
read 4356776 relations
multiplying 4356776 relations
multiply complete, coefficients have about 153.98 million bits
initial square root is modulo 335681
sqrtTime: 616
p73 factor: 1023351744350064767711254152126663099461143908302406938930971057810786459
p75 factor: 117981004947528558578425998809447568101076343107529694302476900367958708173
elapsed time 00:10:17

CADO-NFS/Msieve

963596188351938526597826138220892507715765046513610324896467168911049552675947976087688270248678846052936081726339472717006963485988883327034910500234704198573452966600735861178975221<183>

159720630294001366032944725330382413<36>

6033010178949490073361316871767491374941752999300200709376915162995870293743735197054524436589368399019120045621934770911807822296559368927412793417<148>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3496528567
Step 1 took 11805ms
Step 2 took 9992ms
********** Factor found in step 2: 159720630294001366032944725330382413
Found probable prime factor of 36 digits: 159720630294001366032944725330382413
Composite cofactor  has 148 digits

GMP-ECM 6.2.2

6033010178949490073361316871767491374941752999300200709376915162995870293743735197054524436589368399019120045621934770911807822296559368927412793417<148>

452873078432018664665577949400780474225377018223853191996850594619608629<72>
13321635721508477034693507597682195982355225377683341552349715812936328981573<77>

6033010178949490073361316871767491374941752999300200709376915162995870293743735197054524436589368399019120045621934770911807822296559368927412793417=452873078432018664665577949400780474225377018223853191996850594619608629*13321635721508477034693507597682195982355225377683341552349715812936328981573

cado polynomial
n: 6033010178949490073361316871767491374941752999300200709376915162995870293743735197054524436589368399019120045621934770911807822296559368927412793417
skew: 0.66
type: snfs
c0: 35
c5: 272
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 272*x^5+35
# g(x) = -x+500000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 13321635721508477034693507597682195982355225377683341552349715812936328981573 452873078432018664665577949400780474225377018223853191996850594619608629
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.45/2.17584
Info:Generate Free Relations: Total cpu/real time for freerel: 102.5/26.3922
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28942021
Info:Lattice Sieving: Average J: 1894.25 for 3213084 special-q, max bucket fill -bkmult 1.0,1s:1.115110
Info:Lattice Sieving: Total time: 810266s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.02/145.18
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 144.40000000000003s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 484.51/482.858
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 422.90000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 413.64/481.095
Info:Filtering - Merging: Merged matrix has 2538603 rows and total weight 431639187 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 344.89/154.725
Info:Filtering - Merging: Total cpu/real time for replay: 103.44/95.0552
Info:Linear Algebra: Total cpu/real time for bwc: 112032/32948.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 22553.03, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (79360 iterations)
Info:Linear Algebra: Lingen CPU time 517.21, WCT time 149.92
Info:Linear Algebra: Mksol: WCT time 9991.81, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39936 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 87.56/37.525
Info:Square Root: Total cpu/real time for sqrt: 693.52/217.5
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.61547e+06/328945
Info:root: Cleaning up computation data in /tmp/cado.faf8j3_1
13321635721508477034693507597682195982355225377683341552349715812936328981573 452873078432018664665577949400780474225377018223853191996850594619608629

cado-nfs-3.0.0

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

7094664169103283184013610577645367109734157140915973908954192728000319531155523620156101021461377924560117765256610115908031581345613811<136>

335892581501510072078226020862078769<36>

21121824535060140072018908089763071056280643107380669147641248739488560912123500709369953560150558819<101>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 7094664169103283184013610577645367109734157140915973908954192728000319531155523620156101021461377924560117765256610115908031581345613811 (136 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2576663519
Step 1 took 42728ms
Step 2 took 33806ms
********** Factor found in step 2: 335892581501510072078226020862078769
Found probable prime factor of 36 digits: 335892581501510072078226020862078769
Composite cofactor 21121824535060140072018908089763071056280643107380669147641248739488560912123500709369953560150558819 has 101 digits

GMP-ECM

21121824535060140072018908089763071056280643107380669147641248739488560912123500709369953560150558819<101>

1817044992552857656312895051970666530297885113571<49>
11624271617724242080352063449012326368972889922281089<53>

Number: 56669_195
N=21121824535060140072018908089763071056280643107380669147641248739488560912123500709369953560150558819
  ( 101 digits)
Divisors found:
 r1=1817044992552857656312895051970666530297885113571 (pp49)
 r2=11624271617724242080352063449012326368972889922281089 (pp53)
Version: Msieve v. 1.41
Total time: 6.71 hours.
Scaled time: 5.91 units (timescale=0.881).
Factorization parameters were as follows:
name: 56669_195
n: 21121824535060140072018908089763071056280643107380669147641248739488560912123500709369953560150558819
skew: 2574.59
# norm 1.43e+014
c5: 239400
c4: 1890051466
c3: -14769154005126
c2: -13446007784640866
c1: -22632029745018180231
c0: 93555121878115727758
# alpha -6.36
Y1: 56816630959
Y0: -9752533754254193499
# Murphy_E 3.38e-009
# M 7779123482036425925845383173131339324755063127238206233705787903788991635177672816341387515450557856
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 193882 x 194130
Polynomial selection time: 0.43 hours.
Total sieving time: 5.98 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 6.71 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

39688122813449770624655687326308901751486249521915691741113265342395973198339445933497456562808456736187201433958517028649860898911097567<137>

7089379758291931728526535615850499934564661927547<49>
5598250364149199484754883978347477114287657407541062127915849069633801698559290993287661<88>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=469680236
Step 1 took 48913ms
Step 2 took 18309ms
********** Factor found in step 2: 7089379758291931728526535615850499934564661927547
Found probable prime factor of 49 digits: 7089379758291931728526535615850499934564661927547
Probable prime cofactor 5598250364149199484754883978347477114287657407541062127915849069633801698559290993287661 has 88 digits

GMP-ECM 6.2.3

144226690421650971409179604649189785356748960719436667515058963264613557308899635191312462882837023839823534402307627046746415542546873674387036565707983371510986680240943412233816916942394163061<195>

37763435396077179794724099889424432792995609691<47>
167405001725445866206012811888677852009816020455503<51>
22814224576961555468207883927211834283344960374683560339329050612768217542071134046199699489253857<98>

Number: n
N=144226690421650971409179604649189785356748960719436667515058963264613557308899635191312462882837023839823534402307627046746415542546873674387036565707983371510986680240943412233816916942394163061
  ( 195 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Mar 25 22:06:08 2010  prp47 factor: 37763435396077179794724099889424432792995609691
Thu Mar 25 22:06:08 2010  prp51 factor: 167405001725445866206012811888677852009816020455503
Thu Mar 25 22:06:08 2010  prp98 factor: 22814224576961555468207883927211834283344960374683560339329050612768217542071134046199699489253857
Thu Mar 25 22:06:08 2010  elapsed time 05:09:56 (Msieve 1.42 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.076).
Factorization parameters were as follows:
name: KA_5_6_196_9
n: 144226690421650971409179604649189785356748960719436667515058963264613557308899635191312462882837023839823534402307627046746415542546873674387036565707983371510986680240943412233816916942394163061
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1700
c0: 7
skew: 0.33
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 16650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4866841 hash collisions in 32509255 relations
Msieve: matrix is 1880824 x 1881049 (532.2 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,198,5,0,0,0,0,0,0,0,0,14100000,14100000,28,28,56,56,2.5,2.5,100000
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: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.44 BogoMIPS (lpj=2798222)
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=2797554)
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.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.21 BogoMIPS).

1078483889029035898865007451133558136420219807691259972411710742056922568755154529418341424913500553502841793861059053214017116877970382368001183529520405347<157>

6194729546558462879420980112049507551<37>
174097009550351914849025766768449171135728916023323303229507438804259749468430451693138261763572894278419201781582527997<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2146642698
Step 1 took 19473ms
Step 2 took 7967ms
********** Factor found in step 2: 6194729546558462879420980112049507551
Found probable prime factor of 37 digits: 6194729546558462879420980112049507551

288381298544941581981052740589310864140661988677928224504223051745791623256681690057713372603931258587026965954501113855172710756819232359604458499970157783446943506253<168>

139439575860152525764642907000219<33>

2068145264829021522693134837565772375255413534314070907056190048608030188897413343095857160841289014207680735432647902934113992020248887<136>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1353002088
Step 1 took 9940ms
Step 2 took 8913ms
********** Factor found in step 2: 139439575860152525764642907000219
Found probable prime factor of 33 digits: 139439575860152525764642907000219
Composite cofactor  has 136 digits

GMP-ECM 6.2.2

2068145264829021522693134837565772375255413534314070907056190048608030188897413343095857160841289014207680735432647902934113992020248887<136>

29921393110326822764139764034785970645692623317896717<53>
69119283891739617175741702259058623156759270256543844035388136486772148595709405011<83>

Number: n
N=2068145264829021522693134837565772375255413534314070907056190048608030188897413343095857160841289014207680735432647902934113992020248887
  ( 136 digits)
Divisors found:

Thu May  3 16:18:38 2012  prp53 factor: 29921393110326822764139764034785970645692623317896717
Thu May  3 16:18:38 2012  prp83 factor: 69119283891739617175741702259058623156759270256543844035388136486772148595709405011
Thu May  3 16:18:38 2012  elapsed time 05:23:35 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
name: KA_56669_199
# Murphy_E = 4.118e-11, selected by Erik Branger
n: 2068145264829021522693134837565772375255413534314070907056190048608030188897413343095857160841289014207680735432647902934113992020248887
Y0: -259662868240970449506993688
Y1: 184805258564827
c0: 13261431007138990032097600184829
c1: -258888327610179760427621139
c2: 1986661714798374734916
c3: -7482703606874977
c4: -13104290293
c5: 1752
skew: 489156.07
type: gnfs
# selected mechanically
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 12400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1939093 hash collisions in 21361603 relations (20133095 unique)
Msieve: matrix is 1849158 x 1849395 (540.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13600000,13600000,28,28,55,55,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

19031678160224458823182672624571124324879664876371661872462496932283447156594417184227927872715601787381412228906016912216316686954344162774875808975280699<155>

16235484672840827305747235427721<32>

1172227287557431664659229679610875208906271615395435937554333020682862854689618819963973299985339269262349249624933994874019<124>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1267963406
Step 1 took 10029ms
Step 2 took 8524ms
********** Factor found in step 2: 16235484672840827305747235427721
Found probable prime factor of 32 digits: 16235484672840827305747235427721
Composite cofactor has 124 digits

GMP-ECM 6.2.2

1172227287557431664659229679610875208906271615395435937554333020682862854689618819963973299985339269262349249624933994874019<124>

100034433648149700990445975108099542857<39>
11718237858780679052337995092680150045988631324939268850238847645056920552478961481867<86>

P39=100034433648149700990445975108099542857
P86=11718237858780679052337995092680150045988631324939268850238847645056920552478961481867

B1=1000000
B2=900000000
Method=ECM

Found by the ECM "workers" at http://factorization.ath.cx/

GMP-ECM

3127066112778357291863653881195921688017232670303708283474016138034604238747073349339034357915464516185956411462772844063558187380466629023453068964959094702461774578626083091<175>

152661280126979395510370166210167<33>

20483688530433852673359352557104209229915989000693858367356670982779091972126720998857265447829717309704922527661644671903765401079994640872773<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3618889906
Step 1 took 23142ms
********** Factor found in step 1: 152661280126979395510370166210167
Found probable prime factor of 33 digits: 152661280126979395510370166210167

20483688530433852673359352557104209229915989000693858367356670982779091972126720998857265447829717309704922527661644671903765401079994640872773<143>

18666359581072372455588111740802482255555741752221001790367388053487<68>
1097358509647711159848337494208574395970774792376537217421655440580668307979<76>

20483688530433852673359352557104209229915989000693858367356670982779091972126720998857265447829717309704922527661644671903765401079994640872773=18666359581072372455588111740802482255555741752221001790367388053487*1097358509647711159848337494208574395970774792376537217421655440580668307979

Info:Square Root: Factors: 18666359581072372455588111740802482255555741752221001790367388053487 1097358509647711159848337494208574395970774792376537217421655440580668307979
Info:Square Root: Total cpu/real time for sqrt: 10931.5/1530.27
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): 77964/41.280/51.283/55.790/0.946
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 77964/41.160/45.847/51.960/1.198
Info:Polynomial Selection (size optimized): Total time: 38894.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1910.06
Info:Polynomial Selection (root optimized): Rootsieve time: 1908.54
Info:Generate Factor Base: Total cpu/real time for makefb: 51.36/32.4936
Info:Generate Free Relations: Total cpu/real time for freerel: 1224.34/891.664
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46015641
Info:Lattice Sieving: Average J: 3924.02 for 727874 special-q, max bucket fill -bkmult 1.0,1s:1.215610
Info:Lattice Sieving: Total time: 391079s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 287.44/603.722
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 602.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1693.91/1257.09
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1153.0999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1096.77/609.616
Info:Filtering - Merging: Total cpu/real time for merge: 2124.98/1857.13
Info:Filtering - Merging: Total cpu/real time for replay: 180.43/145.857
Info:Linear Algebra: Total cpu time for bwc: 442202
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: 136.18/33.6508
Info:Square Root: Total cpu/real time for sqrt: 10931.5/1530.27
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.58859e+06/1574.17
18666359581072372455588111740802482255555741752221001790367388053487 1097358509647711159848337494208574395970774792376537217421655440580668307979

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)

35194479577658411415654938802021446676310302905024446667517128258080958258289694748027642061234281691863529660323675080990814460791643279953050079682113797981230611695227439755913679629<185>

5240037249046591801046186601346703<34>

6716455991617604555382812971895505716025585102239331572646736378935098258510236356667983857970071359761890023939691526850610675303259458386562356103843<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=745642261
Step 1 took 69268ms
Step 2 took 26971ms
********** Factor found in step 2: 5240037249046591801046186601346703
Found probable prime factor of 34 digits: 5240037249046591801046186601346703
Composite cofactor 6716455991617604555382812971895505716025585102239331572646736378935098258510236356667983857970071359761890023939691526850610675303259458386562356103843 has 151 digits

6716455991617604555382812971895505716025585102239331572646736378935098258510236356667983857970071359761890023939691526850610675303259458386562356103843<151>

8260219959557651775860714064750140307623<40>
813108612664266352808746474942305335262762583381861587685975455920320012152870506119208505912381513346113823141<111>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1306937989
Step 1 took 60440ms
Step 2 took 23811ms
********** Factor found in step 2: 8260219959557651775860714064750140307623
Found probable prime factor of 40 digits: 8260219959557651775860714064750140307623

1791744078737871787793360062665835094161368483022508379991182631926124143308115322292615780141458106095083852594148695803537667133160463439264841637536067860983874163126297639203<178>

10527110674773155506015733051435239092122431891444513139<56>
170202834765625883734755763352051725546884128320487163513965300902662308558148308438125091784132533756910460471746345522577<123>

Number: n
N=1791744078737871787793360062665835094161368483022508379991182631926124143308115322292615780141458106095083852594148695803537667133160463439264841637536067860983874163126297639203  ( 178 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sun Oct 10 20:31:35 2021  p56 factor: 10527110674773155506015733051435239092122431891444513139
Sun Oct 10 20:31:35 2021  p123 factor: 170202834765625883734755763352051725546884128320487163513965300902662308558148308438125091784132533756910460471746345522577
Sun Oct 10 20:31:35 2021  elapsed time 02:08:46 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 17x10^203+7 = 56(202)9
#
n: 1791744078737871787793360062665835094161368483022508379991182631926124143308115322292615780141458106095083852594148695803537667133160463439264841637536067860983874163126297639203
m: 10000000000000000000000000000000000000000
deg: 5
c5: 17000
c0: 7
skew: 0.21
# Murphy_E = 8.145e-12
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9870680 hash collisions in 62046602 relations (54269771 unique)
Msieve: matrix is 2353534 x 2353761 (819.2 MB)

Sieving start time : 2021/10/10 02:54:45
Sieving end time  : 2021/10/10 18:21:27

Total sieving time: 15hrs 26min 42secs.

Total relation processing time: 1hrs 46min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 55sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

98193694140242921391809323376538388334512265674702541493083464762841028557630290374766157548008665151059590121532310774347631635487768111683869518660645371448348065158347250431644211082070204251<194>

147998720945030261161970498557519<33>
663476640292817523969269599527552870144975802714614220023620936219005998084052610109470272202216904825959590291275317241551871738000232094975686360371323519659829<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1930746501
Step 1 took 27086ms
Step 2 took 9991ms
********** Factor found in step 2: 147998720945030261161970498557519
Found probable prime factor of 33 digits: 147998720945030261161970498557519

42960504386646561150613716076048179447543076118685216507043121985341370485577526905279416384074995899798919568585560772308568624225226256550529260778601018972622281389787479438976246126289225783479563309<203>

143132833099135598842077671621861333147159<42>

300144302718381714428785907145590284854740953381358220339204160843012565733358453921628824057711765113470252140967418248815206251174374875543339236864708509109851<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1644909771
Step 1 took 18608ms
Step 2 took 7532ms
********** Factor found in step 2: 143132833099135598842077671621861333147159
Found probable prime factor of 42 digits: 143132833099135598842077671621861333147159
Composite cofactor 

300144302718381714428785907145590284854740953381358220339204160843012565733358453921628824057711765113470252140967418248815206251174374875543339236864708509109851<162>

12001973866052386581270458197834507434113813<44>
25007911704202309036246760821913030311955639437440263955810658799028184306426740671064071760531859724879835406710161327<119>

#
# N = 17x10^208+7 = 56(207)9
#
n: 300144302718381714428785907145590284854740953381358220339204160843012565733358453921628824057711765113470252140967418248815206251174374875543339236864708509109851
m: 100000000000000000000000000000000000000000
deg: 5
c5: 17000
c0: 7
skew: 0.21
# Murphy_E = 4.442e-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 300144302718381714428785907145590284854740953381358220339204160843012565733358453921628824057711765113470252140967418248815206251174374875543339236864708509109851 (162 digits)
Using B1=43600000, B2=240491351116, polynomial Dickson(12), sigma=1:2026816168
Step 1 took 101025ms
Step 2 took 34301ms
********** Factor found in step 2: 12001973866052386581270458197834507434113813
Found prime factor of 44 digits: 12001973866052386581270458197834507434113813
Prime cofactor 25007911704202309036246760821913030311955639437440263955810658799028184306426740671064071760531859724879835406710161327 has 119 digits

3111590351493337941166096095604905433962714236624758108777905330491325931172381659133628028408968026411725905488497297202173531599828073832170108457692519835186107109997008143681316127809<187>

2966841186736474694589877835951134380453752181500872600349040139616055846422338568935427574171029668411867364746945898778359511343804537521815008726003490401396160558464223385689354275741710296684118673647469459<211>

57110754019281235026333615347496374570806359367019369941025256481655498606811314287549<86>
51948905905441830280618666348604360934082167982669579285084566622552950347574525051807700440106961004245932273040531800072591<125>

Number: n
N=2966841186736474694589877835951134380453752181500872600349040139616055846422338568935427574171029668411867364746945898778359511343804537521815008726003490401396160558464223385689354275741710296684118673647469459
  ( 211 digits)
SNFS difficulty: 213 digits.
Divisors found:

Mon Jan 27 18:41:12 2014  prp86 factor: 57110754019281235026333615347496374570806359367019369941025256481655498606811314287549
Mon Jan 27 18:41:12 2014  prp125 factor: 51948905905441830280618666348604360934082167982669579285084566622552950347574525051807700440106961004245932273040531800072591
Mon Jan 27 18:41:12 2014  elapsed time 40:32:31 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.721).
Factorization parameters were as follows:
#
#  17*10^212+7 - 56(211)9
#
#  c211, diff: 213.23
#
skew: 0.4
n: 2966841186736474694589877835951134380453752181500872600349040139616055846422338568935427574171029668411867364746945898778359511343804537521815008726003490401396160558464223385689354275741710296684118673647469459
m: 100000000000000000000000000000000000
deg: 6
c6: 1700
c0: 7
# Murphy_E = 2.392e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 68500000)
Primes: RFBsize:1565927, AFBsize:1564592,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13073328 hash collisions in 62843662 relations (49832635 unique)
Msieve: matrix is 4511038 x 4511263 (1278.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 38hrs 29min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 22min 50sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5470964552228089466092741297919555686821109990413102011824118751862441009906858589563143102838644365720313996161527130402463625844838442353594802719975516628204350157644314795356548433<184>

845771144278606965174129353233830845771144278606965174129353233830845771144278606965174129353233830845771144278606965174129353233830845771144278606965174129353233830845771144278606965174129353233830845771144278607<213>

163637752163699260684317654427023658375961<42>

5168557579747966169597961141763103801831419018686419949150525644210977159988386011255413578580431807897149405124840840839183390417636235624130896497907345794455360160370087<172>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1431795778
Step 1 took 78317ms
Step 2 took 37194ms
********** Factor found in step 2: 163637752163699260684317654427023658375961
Found probable prime factor of 42 digits: 163637752163699260684317654427023658375961
Composite cofactor

492055578001066114951100995088200611441097138472092873795917576787023189411148180948557976647383369706428208559282040378285144813770527189585829611904700687029710753794547895466910077382401652649193<198>

9108213316958610106522356749263<31>

54023282160608418789961596862706800116758885717278012261912304890764667780333437572278109254682978542554770985180967782053623696233044593314166181886041501650905287111<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3711177760
Step 1 took 26787ms
Step 2 took 9960ms
********** Factor found in step 2: 9108213316958610106522356749263
Found probable prime factor of 31 digits: 9108213316958610106522356749263

25858973698778437698703923295411752910824026891650255816268281782828973812994527927491424168100720534369977077981492988865311664229618652743506843111101128535214137481968006561169456730529517154284705176407<206>

145392385505869720444575054986079069658296141497497220786799595053395134339<75>
177856451070709408311170582952365080314874934188756952754505159514759473350666193135181305779350003235649321593762470059918917370013<132>

Number: n
N=25858973698778437698703923295411752910824026891650255816268281782828973812994527927491424168100720534369977077981492988865311664229618652743506843111101128535214137481968006561169456730529517154284705176407  ( 206 digits)
SNFS difficulty: 217 digits.
Divisors found:

Sun Jun 14 01:00:15 2020  p75 factor: 145392385505869720444575054986079069658296141497497220786799595053395134339
Sun Jun 14 01:00:15 2020  p132 factor: 177856451070709408311170582952365080314874934188756952754505159514759473350666193135181305779350003235649321593762470059918917370013
Sun Jun 14 01:00:15 2020  elapsed time 05:57:15 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 17x10^216+7 = 56(215)9
#
n: 25858973698778437698703923295411752910824026891650255816268281782828973812994527927491424168100720534369977077981492988865311664229618652743506843111101128535214137481968006561169456730529517154284705176407
m: 1000000000000000000000000000000000000
deg: 6
c6: 17
c0: 7
skew: 0.86
# Murphy_E = 3.406e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 54500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9435528 hash collisions in 60534285 relations (53631320 unique)
Msieve: matrix is 3655278 x 3655503 (1281.2 MB)

Sieving start time: 2020/06/12 19:18:41
Sieving end time  : 2020/06/13 19:02:02

Total sieving time: 23hrs 43min 21secs.

Total relation processing time: 5hrs 31min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 51sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149558] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283204K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420256K reserved, 0K cma-reserved)
[    0.184558] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.59 BogoMIPS (lpj=11977184)
[    0.182227] smpboot: Total of 16 processors activated (95817.47 BogoMIPS)

859341461035684212800827423607132735692538793063411976794904489440214755214554549200662281581152138773211104741672494702531142947424010481276707287807559477678010257798853121330593640259<186>

22034898794941196826564983644985220610101500132021448044631506045280965244704096778934605643943799446231885190711336176431516318728485756699746623291098005876655661790123214358230396979570136194987493445103672449<212>

1824213357948192325704509163612600541112870106751<49>
12079123694020767132590944255651842282867144282676424227958186217587243731241731479322464280197648480924181656071984182941543852078271832389477027236050887844179199<164>

Number: n
N=22034898794941196826564983644985220610101500132021448044631506045280965244704096778934605643943799446231885190711336176431516318728485756699746623291098005876655661790123214358230396979570136194987493445103672449
  ( 212 digits)
SNFS difficulty: 219 digits.
Divisors found:

Fri Aug 30 13:11:29 2019  p49 factor: 1824213357948192325704509163612600541112870106751
Fri Aug 30 13:11:29 2019  p164 factor: 12079123694020767132590944255651842282867144282676424227958186217587243731241731479322464280197648480924181656071984182941543852078271832389477027236050887844179199
Fri Aug 30 13:11:29 2019  elapsed time 09:31:52 (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 = 17x10^218+7 = 56(217)9
#
n: 22034898794941196826564983644985220610101500132021448044631506045280965244704096778934605643943799446231885190711336176431516318728485756699746623291098005876655661790123214358230396979570136194987493445103672449
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 17000
c0: 7
skew: 0.21
# Murphy_E = 1.66e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 84800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14722316 hash collisions in 71383479 relations (57792633 unique)
Msieve: matrix is 4503447 x 4503672 (1571.6 MB)

Sieving start time: 2019/08/28 08:47:20
Sieving end time  : 2019/08/30 03:37:14

Total sieving time: 42hrs 49min 54secs.

Total relation processing time: 9hrs 0min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 23sec.

Prototype def-par.txt line would be:
snfs,219,5,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284080K/16703460K available (12300K kernel code, 2478K rwdata, 4280K rodata, 2424K init, 2384K bss, 419380K reserved, 0K cma-reserved)
[    0.072549] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977052)
[    0.070220] smpboot: Total of 16 processors activated (95816.41 BogoMIPS)

23177076246817828124929899790461882328209933176689524654599963956202117703562486313319624460321218953859710470831427467621547545034535187695217290879442401698259651265610677702760287<182>

273196459374359228765567523676685972948167746258857975783<57>
84836664061807770340493336257350340048507923012403305141550898926089987403535368295435737313867006691275605691264465473273289<125>

Number: 56669_219
N = 23177076246817828124929899790461882328209933176689524654599963956202117703562486313319624460321218953859710470831427467621547545034535187695217290879442401698259651265610677702760287 (182 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=273196459374359228765567523676685972948167746258857975783 (pp57)
r2=84836664061807770340493336257350340048507923012403305141550898926089987403535368295435737313867006691275605691264465473273289 (pp125)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 65.66 hours.
Factorization parameters were as follows:
n: 23177076246817828124929899790461882328209933176689524654599963956202117703562486313319624460321218953859710470831427467621547545034535187695217290879442401698259651265610677702760287
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 17
c0: 70
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: 7664428 relations
Pruned matrix : 6583025 x 6583252
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 33.69 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 31.41 hours.
time per square root: 0.20 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: 65.66 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

3986636671624897368308390871756529272845517161969576092208268750443523984545755483401036177864366838709918608989936727657250786715251131462058372051011704101935290551023206392844956623283242766818032448729<205>

9797749341737572717361885467277623128337016241146197<52>
406893107036548355567450659551099184230508990535262346027181968642160455988229946488407500876488647662645812014327885016293934189713481054780573268061557<153>

Number: 56669_220
N = 3986636671624897368308390871756529272845517161969576092208268750443523984545755483401036177864366838709918608989936727657250786715251131462058372051011704101935290551023206392844956623283242766818032448729 (205 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=9797749341737572717361885467277623128337016241146197 (pp52)
r2=406893107036548355567450659551099184230508990535262346027181968642160455988229946488407500876488647662645812014327885016293934189713481054780573268061557 (pp153)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 39.93 hours.
Factorization parameters were as follows:
n: 3986636671624897368308390871756529272845517161969576092208268750443523984545755483401036177864366838709918608989936727657250786715251131462058372051011704101935290551023206392844956623283242766818032448729
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 17
c0: 7
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: 31751363
Relations: 7922312 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 22.76 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6933559 x 6933784
Matrix solve time: 16.68 hours.
time per square root: 0.24 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: 39.93 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

137051458791851081497246878048387226804040599479204456590965890310461863416128538144645721979023064954329616820244919018711555050346256479712353173547456083069307728896090808684225377093057940519666884336630630194854927<219>

9081102083870568333967754186335548554087<40>

15091941212209861178343286185493418809071439923457248026323688578714349331560960321987912420532846852576047193735881275111176529634398953951721781253305850268657698188931290839321<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2977048750
Step 1 took 30501ms
Step 2 took 11058ms
********** Factor found in step 2: 9081102083870568333967754186335548554087
Found probable prime factor of 40 digits: 9081102083870568333967754186335548554087

15091941212209861178343286185493418809071439923457248026323688578714349331560960321987912420532846852576047193735881275111176529634398953951721781253305850268657698188931290839321<179>

773130341526914607341319508101269044718281<42>

19520565164217491562343155352489363363091947257982931049285557967288351496209136069456586281487928708146967900996158283454598653334565841<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2963388571
Step 1 took 88672ms
Step 2 took 27665ms
********** Factor found in step 2: 773130341526914607341319508101269044718281
Found probable prime factor of 42 digits: 773130341526914607341319508101269044718281

19520565164217491562343155352489363363091947257982931049285557967288351496209136069456586281487928708146967900996158283454598653334565841<137>

219989380231812845608720549991582351711753<42>
88734125000251291873430400573015381127870801408362920141550208221044886938063508185130786658697<95>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1371886960
Step 1 took 38062ms
Step 2 took 22884ms
********** Factor found in step 2: 219989380231812845608720549991582351711753
Found probable prime factor of 42 digits: 219989380231812845608720549991582351711753
Probable prime cofactor

44107111162970398270898606827760978723966912269582917184535638304344565416030708063487748480184449185179136612707232119223343427458292350211104439659675327211743619046715930094013457709<185>

4549370767958402129185070797947956646636624257653789318255454016060617365300790195045143464906143359373197442106759471681666407672335692197<139>

38797082382697876922408925319243219<35>
117260641485434486700560251043328667788013900498104027942393148853871040551432423686976823541365389002663<105>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4179893894
Step 1 took 25234ms
Step 2 took 16313ms
********** Factor found in step 2: 38797082382697876922408925319243219
Found probable prime factor of 35 digits: 38797082382697876922408925319243219
Probable prime cofactor 117260641485434486700560251043328667788013900498104027942393148853871040551432423686976823541365389002663 has 105 digits

GMP-ECM 7.0

24873009230967897909169035465623975722621502226072216804458945972614307964197842599952373776434182492996295004478358244349253965245218975164648943943244505345997792348075428810353598089272285998595538510806085371269949<218>

59382139650406633648532165416201<32>
165233000429153635337017764928883233<36>
1223686216914405546333410190908680554466577057<46>
2071598708093154164365311424897352456872880244894418006534506108074514128400664576518896779979708850243029<106>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3494267315
Step 1 took 30809ms
Step 2 took 11070ms
********** Factor found in step 2: 59382139650406633648532165416201
Found probable prime factor of 32 digits: 59382139650406633648532165416201

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=12817262
Step 1 took 22932ms
Step 2 took 9222ms
********** Factor found in step 2: 165233000429153635337017764928883233
Found probable prime factor of 36 digits: 165233000429153635337017764928883233

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=957568684
Step 1 took 16556ms
Step 2 took 3499ms
********** Factor found in step 2: 1223686216914405546333410190908680554466577057
Found probable prime factor of 46 digits: 1223686216914405546333410190908680554466577057

1131933081611753622895064835027936371240960845086306887476049500748272349735167288978609550328506432129553991747727712213309885076728965505262394981573494409910312301324034111584941480159913422335737223347<205>

35325957586388925597505238012643300480949515924240689090621608163282521459596918767389649971470957600008518790773802646065129371660191872653747293648272939109685742905806760623550844018562734014701558107<203>

238967214702122515346188301112395429<36>
447820890073169568455782200632184262453<39>
10516773758465327645739542186980463319856711<44>
31388368415704133018477190740181370518112340990791277967083278566105935337661523578501<86>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3971020280
Step 1 took 26773ms
Step 2 took 10299ms
********** Factor found in step 2: 238967214702122515346188301112395429
Found probable prime factor of 36 digits: 238967214702122515346188301112395429

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1420882142
Step 1 took 19526ms
Step 2 took 8239ms
********** Factor found in step 2: 447820890073169568455782200632184262453
Found probable prime factor of 39 digits: 447820890073169568455782200632184262453

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3263478038
Step 1 took 13528ms
Step 2 took 6372ms
********** Factor found in step 2: 10516773758465327645739542186980463319856711
Found probable prime factor of 44 digits: 10516773758465327645739542186980463319856711

1873324173923447295400791078351582643818560368883079604630581847045106672475441915991388443513798889910207133468271889212699297571313012178661642528880206631991918688155977801527819420527903116489608443903<205>

742060930186471181627269778870207868726802411436119248318468106875980229750794114321906904527750241497182132744224256051179505848531395943196545313514195407341252432977711545202205055879370575188887244714671024746859008859771<225>

12495916352086735618321021728519037<35>

59384274772498128982060242724869703944793968976377139756179670304421273455407148448010140720017129546703738081963430299069278812701028161483949867783765038410035052812344781850985762245348183<191>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2060832995
Step 1 took 21410ms
Step 2 took 14649ms
********** Factor found in step 2: 12495916352086735618321021728519037
Found probable prime factor of 35 digits: 12495916352086735618321021728519037
Composite cofactor 

59384274772498128982060242724869703944793968976377139756179670304421273455407148448010140720017129546703738081963430299069278812701028161483949867783765038410035052812344781850985762245348183<191>

3666176631157204040835057836878447<34>

16197876083715552276879541413349978299308095725391459186964954291073469660988310902233455145048306497740829371949303698886007119345211208688986324234810491289<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=607025527
Step 1 took 22729ms
Step 2 took 9256ms
********** Factor found in step 2: 3666176631157204040835057836878447
Found probable prime factor of 34 digits: 3666176631157204040835057836878447