5858404642291138364105174340796332182194862711710950879939985589846243507251868032207530560710190809<100>

50771645704039662553728948999391<32>
115387330094462793581414509124311595005549596666762250928770226832199<69>

Number: 85551_104
N=5858404642291138364105174340796332182194862711710950879939985589846243507251868032207530560710190809
  ( 100 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=50771645704039662553728948999391 (pp32)
 r2=115387330094462793581414509124311595005549596666762250928770226832199 (pp69)
Version: Msieve-1.40
Total time: 0.30 hours.
Scaled time: 0.97 units (timescale=3.254).
Factorization parameters were as follows:
name: 85551_104
n: 5858404642291138364105174340796332182194862711710950879939985589846243507251868032207530560710190809
m: 100000000000000000000000000
deg: 4
c4: 77
c0: -41
skew: 0.85
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 265001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 43328 x 43561
Total sieving time: 0.29 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.30 hours.
 --------- CPU info (if available) ----------

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

8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<106>

49070185741062963799011234536849474961829436141<47>
174353437354040554797684719734076032795617510098945322438011<60>

Number: 85551_105
N=8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 106 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=49070185741062963799011234536849474961829436141 (pp47)
 r2=174353437354040554797684719734076032795617510098945322438011 (pp60)
Version: Msieve-1.40
Total time: 0.48 hours.
Scaled time: 1.56 units (timescale=3.254).
Factorization parameters were as follows:
name: 85551_105
n: 8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 100000000000000000000000000
deg: 4
c4: 770
c0: -41
skew: 0.48
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [210000, 310001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 43326 x 43557
Total sieving time: 0.46 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,4,0,0,0,0,0,0,0,0,420000,420000,25,25,44,44,2.2,2.2,20000
total time: 0.48 hours.
 --------- CPU info (if available) ----------

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

25209860891836354756351213737769234408044172229369681069380368585483286329521513188448001079<92>

57843518891248268055441862668679469<35>
435828617882557798429974437195127853830062376882144952691<57>

Number: 85551_108
N=25209860891836354756351213737769234408044172229369681069380368585483286329521513188448001079
  ( 92 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=57843518891248268055441862668679469 (pp35)
 r2=435828617882557798429974437195127853830062376882144952691 (pp57)
Version: Msieve-1.40
Total time: 0.89 hours.
Scaled time: 2.88 units (timescale=3.254).
Factorization parameters were as follows:
name: 85551_108
n: 25209860891836354756351213737769234408044172229369681069380368585483286329521513188448001079
m: 1000000000000000000000
deg: 5
c5: 77000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 435001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54171 x 54419
Total sieving time: 0.86 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,109.000,5,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,50000
total time: 0.89 hours.
 --------- CPU info (if available) ----------

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

8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<112>

9169931908478134239775095559836168126078341613190789<52>
933000990732051991605963722102858209765209755155059689591059<60>

Number: n
N=8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 112 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=9169931908478134239775095559836168126078341613190789 (pp52)
 r2=933000990732051991605963722102858209765209755155059689591059 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.82 hours.
Scaled time: 1.50 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_8_5_110_1
n: 8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 10000000000000000000000
deg: 5
c5: 770
c0: -41
skew: 0.56
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 20000
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 405001)
Primes: RFBsize:43825, AFBsize:43793, largePrimes:1771108 encountered
Relations: rels:1769697, finalFF:171118
Max relations in full relation-set: 48
Initial matrix: 87686 x 171118 with sparse part having weight 18488904.
Pruned matrix : 72734 x 73236 with weight 4528930.
Total sieving time: 0.76 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.4,2.4,50000
total time: 0.82 hours.
 --------- CPU info (if available) ----------

65652249532299617371863615528828878104859716806571672107455105821292623273733505441793864033<92>

1370939398639195108058797615739624032137789323<46>
47888513232216201858415058039800906858724552771<47>

Number: 85551_112
N=65652249532299617371863615528828878104859716806571672107455105821292623273733505441793864033
  ( 92 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=1370939398639195108058797615739624032137789323 (pp46)
 r2=47888513232216201858415058039800906858724552771 (pp47)
Version: Msieve-1.40
Total time: 0.95 hours.
Scaled time: 2.91 units (timescale=3.053).
Factorization parameters were as follows:
name: 85551_112
n: 65652249532299617371863615528828878104859716806571672107455105821292623273733505441793864033
m: 10000000000000000000000
deg: 5
c5: 7700
c0: -41
skew: 0.35
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 475001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59787 x 60033
Total sieving time: 0.91 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,113.000,5,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,50000
total time: 0.95 hours.
 --------- CPU info (if available) ----------

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

969774310194315898938971274824855998241016807044338120630890677501079970583702347477269606983810903912796986217817<114>

2430225002873246411793129391678616202110291<43>
399047128989190370206227809839729145543410495812740802126048747041847587<72>

Number: 85551_122
N=969774310194315898938971274824855998241016807044338120630890677501079970583702347477269606983810903912796986217817
  ( 114 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=2430225002873246411793129391678616202110291 (pp43)
 r2=399047128989190370206227809839729145543410495812740802126048747041847587 (pp72)
Version: Msieve-1.40
Total time: 1.72 hours.
Scaled time: 5.55 units (timescale=3.238).
Factorization parameters were as follows:
name: 85551_122
n: 969774310194315898938971274824855998241016807044338120630890677501079970583702347477269606983810903912796986217817
m: 1000000000000000000000000
deg: 5
c5: 7700
c0: -41
skew: 0.35
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 755001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102962 x 103210
Total sieving time: 1.68 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,50000
total time: 1.72 hours.
 --------- CPU info (if available) ----------

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

23822774177955498148238746880249160724439177321889701774539575928569274135199806232361343417965347411243946590540713333<119>

4001531723994979393830406373417686149643<40>
5953413797797342639356296664462482278785318244888601733181516632156148752520831<79>

Number: 85551_125
N=23822774177955498148238746880249160724439177321889701774539575928569274135199806232361343417965347411243946590540713333
  ( 119 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=4001531723994979393830406373417686149643 (pp40)
 r2=5953413797797342639356296664462482278785318244888601733181516632156148752520831 (pp79)
Version: Msieve-1.40
Total time: 1.48 hours.
Scaled time: 4.70 units (timescale=3.174).
Factorization parameters were as follows:
name: 85551_125
n: 23822774177955498148238746880249160724439177321889701774539575928569274135199806232361343417965347411243946590540713333
m: 10000000000000000000000000
deg: 5
c5: 77
c0: -41
skew: 0.88
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 705001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120445 x 120693
Total sieving time: 1.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 1.48 hours.
 --------- CPU info (if available) ----------

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

27834984092487337793437667529551173533774138263234360082753046213664952826931829232011099290280204301553372859010744665353<122>

62296408113207452118524317121831784094079548507<47>
446815232780428106266095724251849213686353387884823126969380075291683311979<75>

N=27834984092487337793437667529551173533774138263234360082753046213664952826931829232011099290280204301553372859010744665353
  ( 122 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=62296408113207452118524317121831784094079548507 (pp47)
 r2=446815232780428106266095724251849213686353387884823126969380075291683311979 (pp75)
Version: Msieve-1.40
Total time: 2.38 hours.
Scaled time: 4.48 units (timescale=1.883).
Factorization parameters were as follows:
n: 27834984092487337793437667529551173533774138263234360082753046213664952826931829232011099290280204301553372859010744665353
m: 10000000000000000000000000
deg: 5
c5: 770
c0: -41
skew: 0.56
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 975001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 126779 x 127005
Total sieving time: 2.31 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,50000
total time: 2.38 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

21310128421196719896720015119844987654778666819674930833655046900443450455389091923594365831727941111329272566349<113>

210189328557437019066355454137261<33>
426274105045165557329184376787358271<36>
237840852459537314101558103331680600491755679<45>

N=21310128421196719896720015119844987654778666819674930833655046900443450455389091923594365831727941111329272566349
  ( 113 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=210189328557437019066355454137261 (pp33)
 r2=426274105045165557329184376787358271 (pp36)
 r3=237840852459537314101558103331680600491755679 (pp45)
Version: Msieve-1.40
Total time: 3.47 hours.
Scaled time: 6.27 units (timescale=1.808).
Factorization parameters were as follows:
n: 21310128421196719896720015119844987654778666819674930833655046900443450455389091923594365831727941111329272566349
m: 10000000000000000000000000
deg: 5
c5: 770000
c0: -41
skew: 0.14
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 1280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 171796 x 172021
Total sieving time: 3.33 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 3.47 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

63548319704242998338787981977950697058265075136150214611801424549234723359246342247649172271948011915014058585873617<116>

28246785512379081701086595217099067977179638091181639643<56>
2249754035778446695201381242620744051419365465281148706042819<61>

Number: 85551_131
N = 63548319704242998338787981977950697058265075136150214611801424549234723359246342247649172271948011915014058585873617 (116 digits)
SNFS difficulty: 133 digits.
Divisors found:
r1=28246785512379081701086595217099067977179638091181639643 (pp56)
r2=2249754035778446695201381242620744051419365465281148706042819 (pp61)
Version: Msieve v. 1.43
Total time: 3.12 hours.
Factorization parameters were as follows:
n: 63548319704242998338787981977950697058265075136150214611801424549234723359246342247649172271948011915014058585873617 
m: 100000000000000000000000000 
deg: 5 
c5: 770 
c0: -41 
skew: 0.56 
type: snfs 
lss: 1 
rlim: 1150000 
alim: 1150000 
lpbr: 26 
lpba: 26 
mfbr: 47 
mfba: 47 
rlambda: 2.3 
alambda: 2.3
qintsize: 100000 
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [575000, 1275000)
Total raw relations: 3669384
Relations: 218916 relations
Pruned matrix : 149403 x 149628
Polynomial selection time: 0.00 hours.
Total sieving time: 2.99 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,133,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,100000
total time: 3.12 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve v1.44

75793601361441536989746358583306142579231140108645819929014393791897130982259795229494244567794931497084387405324291347<119>

8005620213586737838571473155154632716539<40>
9467548964264933682269841403125814279640674360533510536359062325911596018256073<79>

Number: 85551_132
N=75793601361441536989746358583306142579231140108645819929014393791897130982259795229494244567794931497084387405324291347
  ( 119 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=8005620213586737838571473155154632716539 (pp40)
 r2=9467548964264933682269841403125814279640674360533510536359062325911596018256073 (pp79)
Version: Msieve-1.40
Total time: 3.81 hours.
Scaled time: 11.29 units (timescale=2.968).
Factorization parameters were as follows:
name: 85551_132
n: 75793601361441536989746358583306142579231140108645819929014393791897130982259795229494244567794931497084387405324291347
m: 100000000000000000000000000
deg: 5
c5: 7700
c0: -41
skew: 0.35
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1195001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180796 x 181044
Total sieving time: 3.69 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,75000
total time: 3.81 hours.
 --------- CPU info (if available) ----------

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

411859589962541049363356271398546100345181661877943121217139869533258622003714128386978820505701637070730717379868674451144544161<129>

7214033653391829534587846040108499386579182447718503708699<58>
57091442839180076096427897637159174344963176612967348177182004616465139<71>

Number: 85551_135
N=411859589962541049363356271398546100345181661877943121217139869533258622003714128386978820505701637070730717379868674451144544161
  ( 129 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=7214033653391829534587846040108499386579182447718503708699 (pp58)
 r2=57091442839180076096427897637159174344963176612967348177182004616465139 (pp71)
Version: Msieve-1.40
Total time: 3.63 hours.
Scaled time: 9.90 units (timescale=2.728).
Factorization parameters were as follows:
name: 85551_135
n: 411859589962541049363356271398546100345181661877943121217139869533258622003714128386978820505701637070730717379868674451144544161
m: 1000000000000000000000000000
deg: 5
c5: 77
c0: -41
skew: 0.88
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1195001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189478 x 189726
Total sieving time: 3.51 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 3.63 hours.
 --------- CPU info (if available) ----------

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

27857835198554013984856802595697801910842164983803467825454375854035158528667237958147754498930647270730586379252926459<119>

5298177056078519086304599996081<31>
5258003819746480048390480268557541534886128068256999555510245541605724250072238805855339<88>

Number: 85551_136
N=27857835198554013984856802595697801910842164983803467825454375854035158528667237958147754498930647270730586379252926459
  ( 119 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=5298177056078519086304599996081 (pp31)
 r2=5258003819746480048390480268557541534886128068256999555510245541605724250072238805855339 (pp88)
Version: Msieve-1.40
Total time: 5.69 hours.
Scaled time: 16.50 units (timescale=2.901).
Factorization parameters were as follows:
name: 85551_136
n: 27857835198554013984856802595697801910842164983803467825454375854035158528667237958147754498930647270730586379252926459
m: 1000000000000000000000000000
deg: 5
c5: 770
c0: -41
skew: 0.56
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1595001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 223953 x 224201
Total sieving time: 5.51 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,75000
total time: 5.69 hours.
 --------- CPU info (if available) ----------

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

28518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517<140>

100582842799313779008933172249162495716559622287<48>
283532635634683856487137794805073053033183471827321722655852116427852161081762286990630559291<93>

Number: 85551_139
N=28518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517
  ( 140 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=100582842799313779008933172249162495716559622287 (pp48)
 r2=283532635634683856487137794805073053033183471827321722655852116427852161081762286990630559291 (pp93)
Version: Msieve-1.40
Total time: 10.77 hours.
Scaled time: 26.96 units (timescale=2.504).
Factorization parameters were as follows:
name: 85551_139
n: 28518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517
m: 1000000000000000000000000000
deg: 5
c5: 770000
c0: -41
skew: 0.14
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 2280001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 289490 x 289737
Total sieving time: 10.47 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 10.77 hours.
 --------- CPU info (if available) ----------

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

840127236924159191399617504925480471948942217003844662125718264461057990724402362270170952936948960119021<105>

20620098533788275565011868876629779647<38>
40743124265265720304163319793296738405445357282081195729485491298643<68>

Number: 85551_143
N=840127236924159191399617504925480471948942217003844662125718264461057990724402362270170952936948960119021
  ( 105 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=20620098533788275565011868876629779647 (pp38)
 r2=40743124265265720304163319793296738405445357282081195729485491298643 (pp68)
Version: Msieve-1.40
Total time: 11.86 hours.
Scaled time: 38.40 units (timescale=3.238).
Factorization parameters were as follows:
name: 85551_143
n: 840127236924159191399617504925480471948942217003844662125718264461057990724402362270170952936948960119021
m: 10000000000000000000000000000
deg: 5
c5: 77000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 2510001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 332405 x 332653
Total sieving time: 11.59 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 11.86 hours.
 --------- CPU info (if available) ----------

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

182033096926713947990543735224586288416075650118203309692671394799054373522458628841607565011820330969267139479905437352245862884160756501182033<144>

87649245288137077859442513576377<32>

2076835873809301245178663836226867356485452623948853783025867374665077001059424874571963596665484692985103402329<112>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 182033096926713947990543735224586288416075650118203309692671394799054373522458628841607565011820330969267139479905437352245862884160756501182033 (144 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2173742949
Step 1 took 4680ms
Step 2 took 4508ms
********** Factor found in step 2: 87649245288137077859442513576377
Found probable prime factor of 32 digits: 87649245288137077859442513576377
Composite cofactor 2076835873809301245178663836226867356485452623948853783025867374665077001059424874571963596665484692985103402329 has 112 digits

Core 2 Quad Q6600

2076835873809301245178663836226867356485452623948853783025867374665077001059424874571963596665484692985103402329<112>

342575379784179539639730615476365144686520727052151343<54>
6062420116465157378243387016470226555672632939116141498103<58>

Number: 85551_144
N=2076835873809301245178663836226867356485452623948853783025867374665077001059424874571963596665484692985103402329
  ( 112 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=342575379784179539639730615476365144686520727052151343 (pp54)
 r2=6062420116465157378243387016470226555672632939116141498103 (pp58)
Version: Msieve-1.40
Total time: 15.47 hours.
Scaled time: 45.28 units (timescale=2.927).
Factorization parameters were as follows:
name: 85551_144
n: 2076835873809301245178663836226867356485452623948853783025867374665077001059424874571963596665484692985103402329
m: 10000000000000000000000000000
deg: 5
c5: 770000
c0: -41
skew: 0.14
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 3045001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 383562 x 383810
Total sieving time: 15.02 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 15.47 hours.
 --------- CPU info (if available) ----------

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

5351336061819746152076631132405258764897737357816043305513335598963925740134950965777163416598732497829928980125693849368924582995399935922963<142>

31003567335107566907454537048237359593470396245523537487<56>
172603881481730130921754846067306076031984860753141722641208326060210957711754886820349<87>

Number: 85551_146
N=5351336061819746152076631132405258764897737357816043305513335598963925740134950965777163416598732497829928980125693849368924582995399935922963
  ( 142 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=31003567335107566907454537048237359593470396245523537487 (pp56)
 r2=172603881481730130921754846067306076031984860753141722641208326060210957711754886820349 (pp87)
Version: Msieve-1.40
Total time: 13.43 hours.
Scaled time: 43.69 units (timescale=3.254).
Factorization parameters were as follows:
name: 85551_146
n: 5351336061819746152076631132405258764897737357816043305513335598963925740134950965777163416598732497829928980125693849368924582995399935922963
m: 100000000000000000000000000000
deg: 5
c5: 770
c0: -41
skew: 0.56
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 357073 x 357321
Total sieving time: 13.13 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 13.43 hours.
 --------- CPU info (if available) ----------

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

746418512920118690734336114972923393881851878112720404529943208170071859707213385205790933175165781444727<105>

8194750238570534198388460251189234256937<40>
91084961858498512183106048396593927016735527018670746320949920671<65>

N=746418512920118690734336114972923393881851878112720404529943208170071859707213385205790933175165781444727
  ( 105 digits)
Divisors found:
 r1=8194750238570534198388460251189234256937 (pp40)
 r2=91084961858498512183106048396593927016735527018670746320949920671 (pp65)
Version: Msieve-1.40
Total time: 6.52 hours.
Scaled time: 11.79 units (timescale=1.808).
Factorization parameters were as follows:
n: 746418512920118690734336114972923393881851878112720404529943208170071859707213385205790933175165781444727
skew: 11367.22
# norm 1.43e+015
c5: 404040
c4: 59922878
c3: -82276983149817
c2: 132510006506895786
c1: -2814286161341285769778
c0: -5541656768728338861358509
# alpha -7.20
Y1: 180746783617
Y0: -71336463507573565270
# Murphy_E 1.80e-009
# M 10767390644570050690729346261097716631376717785287000475653264720505276093677788330682724735778808640280
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 258218 x 258449
Total sieving time: 6.25 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 6.52 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

4914199741427956685888635540193154484403481028400349286766483802465465115089405979238423835223788638706788590464025908089912421984996952018667<142>

87733566260942563806880698439493<32>

56012766274789763455293865573349594100023130140756820493120843615765272900998241175296709114824538848048683119<110>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 4914199741427956685888635540193154484403481028400349286766483802465465115089405979238423835223788638706788590464025908089912421984996952018667 (142 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1313888896
Step 1 took 4742ms
Step 2 took 4462ms
********** Factor found in step 2: 87733566260942563806880698439493
Found probable prime factor of 32 digits: 87733566260942563806880698439493
Composite cofactor 56012766274789763455293865573349594100023130140756820493120843615765272900998241175296709114824538848048683119 has 110 digits

Core 2 Quad Q6600

56012766274789763455293865573349594100023130140756820493120843615765272900998241175296709114824538848048683119<110>

7199983382823597174388158651732043<34>
7779568826285734412269610270084105208451291770171058073889426214191330109933<76>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3526867244
Step 1 took 7940ms
Step 2 took 6131ms
********** Factor found in step 2: 7199983382823597174388158651732043
Found probable prime factor of 34 digits: 7199983382823597174388158651732043
Probable prime cofactor 7779568826285734412269610270084105208451291770171058073889426214191330109933 has 76 digits

GMP-ECM 6.2.2

17269116725113913726829593520968122167503635378391050133761274066881090740234505181123348386245997810150854227859459387883243967414833677818683<143>

988723297477075803736423068505273003042189095361066921<54>
17466076473751049131992873131098743844962649914851081346894654314651112836989649481939523<89>

Number: 85551_150
N=17269116725113913726829593520968122167503635378391050133761274066881090740234505181123348386245997810150854227859459387883243967414833677818683
  ( 143 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=988723297477075803736423068505273003042189095361066921 (pp54)
 r2=17466076473751049131992873131098743844962649914851081346894654314651112836989649481939523 (pp89)
Version: Msieve-1.40
Total time: 15.58 hours.
Scaled time: 50.69 units (timescale=3.254).
Factorization parameters were as follows:
name: 85551_150
n: 17269116725113913726829593520968122167503635378391050133761274066881090740234505181123348386245997810150854227859459387883243967414833677818683
m: 1000000000000000000000000000000
deg: 5
c5: 77
c0: -41
skew: 0.88
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 357051 x 357299
Total sieving time: 15.25 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 15.58 hours.
 --------- CPU info (if available) ----------

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

10621795394407083685001271208233048021935606613622368002499027053251503033510555469529904652755144635492919068170684103<119>

479040325871566734336941091144846595047258608193079596703<57>
22173071494725986110090891337521735778731230249238959587075801<62>

Number: y1
N=10621795394407083685001271208233048021935606613622368002499027053251503033510555469529904652755144635492919068170684103
  ( 119 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=479040325871566734336941091144846595047258608193079596703 (pp57)
 r2=22173071494725986110090891337521735778731230249238959587075801 (pp62)
Version: Msieve-1.40
Total time: 16.57 hours.
Scaled time: 31.29 units (timescale=1.888).
Factorization parameters were as follows:
n: 10621795394407083685001271208233048021935606613622368002499027053251503033510555469529904652755144635492919068170684103
m: 1000000000000000000000000000000
deg: 5
c5: 7700
c0: -41
skew: 0.35
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 443928 x 444158
Total sieving time: 16.06 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 16.57 hours.
 --------- CPU info (if available) ----------

8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<154>

22378781052357682992270881146157702239104649<44>
382306593712091293807423175942200869815201993560201104851696474264099829115448162549392759152291921551865909799<111>

Number: y2
N=8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 154 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=22378781052357682992270881146157702239104649 (pp44)
 r2=382306593712091293807423175942200869815201993560201104851696474264099829115448162549392759152291921551865909799 (pp111)
Version: Msieve-1.40
Total time: 21.01 hours.
Scaled time: 40.51 units (timescale=1.928).
Factorization parameters were as follows:
n: 8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 1000000000000000000000000000000
deg: 5
c5: 77000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 508286 x 508513
Total sieving time: 20.44 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 21.01 hours.
 --------- CPU info (if available) ----------

344189229391400004271984689367564146417786417924932082064854132892715421881565452250373703749209808708522621756439<114>

3343824577168178304462317702960669771511024539<46>
102932800883617926810225866997927143525024287767858436977995752802101<69>

Number: 114sss
N=344189229391400004271984689367564146417786417924932082064854132892715421881565452250373703749209808708522621756439
  ( 114 digits)
Divisors found:
 r1=3343824577168178304462317702960669771511024539 (pp46)
 r2=102932800883617926810225866997927143525024287767858436977995752802101 (pp69)
Version: Msieve-1.40
Total time: 20.75 hours.
Scaled time: 39.75 units (timescale=1.916).
Factorization parameters were as follows:
name: 114sss
n: 344189229391400004271984689367564146417786417924932082064854132892715421881565452250373703749209808708522621756439
skew: 21091.71
# norm 8.23e+015
c5: 120960
c4: 6910460220
c3: 352746009132818
c2: -427425126393632188
c1: -80044194753523137832727
c0: 320873988293183906566378597
# alpha -6.62
Y1: 2064198354317
Y0: -4907146368654396621270
# Murphy_E 6.47e-010
# M 201380949347749929432863113558783962319408923812173889631425683104541276275379743679137624276137643603226858542925
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 432772 x 433003
Total sieving time: 20.31 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 20.75 hours.
 --------- CPU info (if available) ----------

1848497847517694888870670094436695843365448262347929484574101042027159716175111706356424068980309871717482982484617093912594691<127>

13705726486016122565893286609728369487142106182003118121<56>
134870475447157586794353485569310378198741700241047982177707472618276171<72>

Number: 85551_161
N=1848497847517694888870670094436695843365448262347929484574101042027159716175111706356424068980309871717482982484617093912594691
  ( 127 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=13705726486016122565893286609728369487142106182003118121 (pp56)
 r2=134870475447157586794353485569310378198741700241047982177707472618276171 (pp72)
Version: Msieve-1.40
Total time: 40.21 hours.
Scaled time: 130.19 units (timescale=3.238).
Factorization parameters were as follows:
name: 85551_161
n: 1848497847517694888870670094436695843365448262347929484574101042027159716175111706356424068980309871717482982484617093912594691
m: 100000000000000000000000000000000
deg: 5
c5: 770
c0: -41
skew: 0.56
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 764031 x 764279
Total sieving time: 38.69 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.20 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 40.21 hours.
 --------- CPU info (if available) ----------

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

2635747707099625605577624376533299934930756529558152135374044642121798563307331268072529969756209533352199493791032440957361<124>

1187252897454422552615979982531272746825531965505659<52>
2220038976321647018942228275303191329717505662219804950251435443702211779<73>

Number: 85551_162
N=2635747707099625605577624376533299934930756529558152135374044642121798563307331268072529969756209533352199493791032440957361
  ( 124 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=1187252897454422552615979982531272746825531965505659 (pp52)
 r2=2220038976321647018942228275303191329717505662219804950251435443702211779 (pp73)
Version: Msieve-1.40
Total time: 40.78 hours.
Scaled time: 125.06 units (timescale=3.067).
Factorization parameters were as follows:
name: 85551_162
n: 2635747707099625605577624376533299934930756529558152135374044642121798563307331268072529969756209533352199493791032440957361
m: 100000000000000000000000000000000
deg: 5
c5: 7700
c0: -41
skew: 0.35
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, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 746872 x 747120
Total sieving time: 39.39 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 40.78 hours.
 --------- CPU info (if available) ----------

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

87685434766022235659730407145110284362726174330032033652986600071287119692895999380508097237453296118268292377402666320480015122890567438640124171685803728111381<161>

155537339662388095534963411427<30>
563758097935541913995284506249175788088136148990638563771499296198434620434320239721514871381526529243726411168152835471189168987303<132>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2778091367
Step 1 took 8003ms
Step 2 took 5538ms
********** Factor found in step 2: 155537339662388095534963411427
Found probable prime factor of 30 digits: 155537339662388095534963411427
Probable prime cofactor 563758097935541913995284506249175788088136148990638563771499296198434620434320239721514871381526529243726411168152835471189168987303 has 132 digits

GMP-ECM 6.3

954887956677661010978149659760585853474558682688362137720764220542713199219915072785981065199316882084615253363602438282339160356032281259732687747723125782471<159>

3280108755355096314345456710393646674086057428387968046912254669<64>
291114724509885113627275588388754965310008650847555544414913112071777114576856167556444373753059<96>

Msieve v. 1.47
Thu Oct 28 18:26:29 2010
random seeds: 10d45238 d1bb95bf
factoring 954887956677661010978149659760585853474558682688362137720764220542713199219915072785981065199316882084615253363602438282339160356032281259732687747723125782471 (159 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (159-digit input)
R0: -1000000000000000000000000000000000
R1:  1
A0: -41
A1:  0
A2:  0
A3:  0
A4:  0
A5:  770
skew 0.56, size 5.857e-12, alpha 1.068, combined = 2.439e-10 rroots = 1

commencing relation filtering
estimated available RAM is 8003.8 MB
commencing duplicate removal, pass 1
read 10M relations
error -15 reading relation 10139418
error -11 reading relation 10207577
error -15 reading relation 10274995
error -15 reading relation 10341394
error -15 reading relation 10342711
error -9 reading relation 10343636
found 1433324 hash collisions in 10345563 relations
added 364945 free relations
commencing duplicate removal, pass 2
found 1289516 duplicates and 9420992 unique relations
memory use: 49.3 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 344.5 MB
reading all ideals from disk
memory use: 342.0 MB
keeping 10369382 ideals with weight <= 200, target excess is 50102
commencing in-memory singleton removal
begin with 9420991 relations and 10369382 unique ideals
reduce to 3955444 relations and 3716621 ideals in 16 passes
max relations containing the same ideal: 119
removing 638183 relations and 547832 ideals in 90352 cliques
commencing in-memory singleton removal
begin with 3317261 relations and 3716621 unique ideals
reduce to 3244326 relations and 3093857 ideals in 11 passes
max relations containing the same ideal: 99
removing 484076 relations and 393724 ideals in 90352 cliques
commencing in-memory singleton removal
begin with 2760250 relations and 3093857 unique ideals
reduce to 2707030 relations and 2645478 ideals in 8 passes
max relations containing the same ideal: 85
relations with 0 large ideals: 1147
relations with 1 large ideals: 283
relations with 2 large ideals: 4387
relations with 3 large ideals: 37912
relations with 4 large ideals: 175274
relations with 5 large ideals: 464930
relations with 6 large ideals: 772212
relations with 7+ large ideals: 1250885
commencing 2-way merge
reduce to 1651844 relation sets and 1590292 unique ideals
commencing full merge
memory use: 199.7 MB
found 834287 cycles, need 824492
weight of 824492 cycles is about 57714635 (70.00/cycle)
distribution of cycle lengths:
1 relations: 102263
2 relations: 94858
3 relations: 92744
4 relations: 84794
5 relations: 77171
6 relations: 67519
7 relations: 58015
8 relations: 49882
9 relations: 41988
10+ relations: 155258
heaviest cycle: 23 relations
commencing cycle optimization
start with 4867923 relations
pruned 118133 relations
memory use: 158.9 MB
distribution of cycle lengths:
1 relations: 102263
2 relations: 96776
3 relations: 95839
4 relations: 86604
5 relations: 79038
6 relations: 68493
7 relations: 58951
8 relations: 50004
9 relations: 41930
10+ relations: 144594
heaviest cycle: 22 relations
RelProcTime: 382

commencing linear algebra
read 824492 cycles
cycles contain 2634217 unique relations
read 2634217 relations
using 20 quadratic characters above 134214834
building initial matrix
memory use: 326.6 MB
read 824492 cycles
matrix is 824315 x 824492 (246.3 MB) with weight 73124551 (88.69/col)
sparse part has weight 55485528 (67.30/col)
filtering completed in 2 passes
matrix is 823509 x 823686 (246.2 MB) with weight 73094900 (88.74/col)
sparse part has weight 55473859 (67.35/col)
matrix starts at (0, 0)
matrix is 823509 x 823686 (246.2 MB) with weight 73094900 (88.74/col)
sparse part has weight 55473859 (67.35/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 823461 x 823686 (233.0 MB) with weight 57692381 (70.04/col)
sparse part has weight 52847938 (64.16/col)
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (2 threads)
memory use: 189.4 MB
linear algebra at 0.4%, ETA 0h49m823686 dimensions (0.4%, ETA 0h49m)    
linear algebra completed 823457 of 823686 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 13024 iterations (dim = 823457)
recovered 34 nontrivial dependencies
BLanczosTime: 3287

commencing square root phase
reading relations for dependency 1
read 411772 cycles
cycles contain 1316154 unique relations
read 1316154 relations
multiplying 1316154 relations
multiply complete, coefficients have about 40.71 million bits
initial square root is modulo 699401
reading relations for dependency 2
read 411748 cycles
cycles contain 1318898 unique relations
read 1318898 relations
multiplying 1318898 relations
multiply complete, coefficients have about 40.79 million bits
initial square root is modulo 719671
reading relations for dependency 3
read 411764 cycles
cycles contain 1316802 unique relations
read 1316802 relations
multiplying 1316802 relations
multiply complete, coefficients have about 40.73 million bits
initial square root is modulo 704441
sqrtTime: 1039
prp64 factor: 3280108755355096314345456710393646674086057428387968046912254669
prp96 factor: 291114724509885113627275588388754965310008650847555544414913112071777114576856167556444373753059
elapsed time 01:18:30

12862877973705904163392575908471395263315975561506070384054253455678147835637723130632909072988204864194082156460804028895808796671110967<137>

146772244974286240119335135310130019179185953<45>
87638354076817560135164174748832560772163442003038607724665621405663325942725166300777079639<92>

Number: test
N = 12862877973705904163392575908471395263315975561506070384054253455678147835637723130632909072988204864194082156460804028895808796671110967 (137 digits)
SNFS difficulty: 169 digits.
Divisors found:
r1=146772244974286240119335135310130019179185953 (pp45)
r2=87638354076817560135164174748832560772163442003038607724665621405663325942725166300777079639 (pp92)
Version: Msieve v. 1.47
Total time: 9.72 hours.
Factorization parameters were as follows:
n: 12862877973705904163392575908471395263315975561506070384054253455678147835637723130632909072988204864194082156460804028895808796671110967
m: 1000000000000000000000000000000000
deg: 5
c5: 7700
c0: -41
skew: 0.35
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 17219905
Relations: 1639714 relations
Pruned matrix : 945433 x 945664
Polynomial selection time: 0.00 hours.
Total sieving time: 8.55 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.64 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,28,28,54,54,2.4,2.4,100000
total time: 9.72 hours.
AMD64 Family 16 Model 10 Stepping 0, AuthenticAMD
Windows-7-6.1.7600
processors: 6, speed: 3.61GHz

Windows 7 / 4gb Ram / x6 @ 3.6ghz

8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<169>

72378269915340363395081424268811190407274145409<47>
43249782170357408002297351426059275305033154331366555935327<59>
2733103595404644915715128091404663147599803707798654170677875457<64>

Number: 4
N=8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 169 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=72378269915340363395081424268811190407274145409 (pp47)
 r2=43249782170357408002297351426059275305033154331366555935327 (pp59)
 r3=2733103595404644915715128091404663147599803707798654170677875457 (pp64)
Version: Msieve-1.40
Total time: 69.22 hours.
Scaled time: 120.37 units (timescale=1.739).
Factorization parameters were as follows:
n: 8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 1000000000000000000000000000000000
deg: 5
c5: 77000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 6150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1044756 x 1044982
Total sieving time: 67.15 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.48 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 69.22 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

868759861547416574056107229157663670036767271927356649617854121318607122680928191322079671404409075474790544546807696702761356125979<132>

644069690237239736292779546843613176514193<42>
1348860029770091146965136702030129026672224349754866620091181175772866931525133926691053803<91>

Number: 85551_169
N=868759861547416574056107229157663670036767271927356649617854121318607122680928191322079671404409075474790544546807696702761356125979
  ( 132 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=644069690237239736292779546843613176514193 (pp42)
 r2=1348860029770091146965136702030129026672224349754866620091181175772866931525133926691053803 (pp91)
Version: Msieve-1.40
Total time: 127.92 hours.
Scaled time: 268.90 units (timescale=2.102).
Factorization parameters were as follows:
name: 85551_169
n: 868759861547416574056107229157663670036767271927356649617854121318607122680928191322079671404409075474790544546807696702761356125979
m: 1000000000000000000000000000000000
deg: 5
c5: 770000
c0: -41
skew: 0.14
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 7550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1094979 x 1095227
Total sieving time: 123.41 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.04 hours.
Time per square root: 1.32 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 127.92 hours.
 --------- CPU info (if available) ----------

23123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123<173>

117581397200801405124011166775876849<36>
196656305109508613259949079108668207504703402885798688004193853245860503321875297110165521309039627667902530903128667587751935052881881827<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=668982895
Step 1 took 7792ms
Step 2 took 4005ms
********** Factor found in step 2: 117581397200801405124011166775876849
Found probable prime factor of 36 digits: 117581397200801405124011166775876849
Probable prime cofactor has 138 digits

36984623147285719336960611351481636708378062305369642922903966621335502730102561115479367955244752356440527354811233333629222080412808327132009319<146>

281963197085068374191446623804761348971<39>
131168264261549880038835461897101360155357600175257281583381909735884258265876600662697487406597497579487989<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1076909812
Step 1 took 13367ms
Step 2 took 5788ms
********** Factor found in step 2: 281963197085068374191446623804761348971
Found probable prime factor of 39 digits: 281963197085068374191446623804761348971
Probable prime cofactor 131168264261549880038835461897101360155357600175257281583381909735884258265876600662697487406597497579487989 has 108 digits

GMP-ECM 6.2.3

33433198732143632495332378099083843515262038122530502366375754417958403890408579740349963093222178802483609048673526985367548087360514089705179974816551604359341756762624289<173>

135629801126214303394665013023044153<36>

246503338164091130565708588332265233657808852482307671594545572021178439941834427791681880046398226420204031011857962462039558914569795113<138>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=143126532
Step 1 took 7597ms
Step 2 took 5429ms
********** Factor found in step 2: 135629801126214303394665013023044153
Found probable prime factor of 36 digits: 135629801126214303394665013023044153
Composite cofactor 246503338164091130565708588332265233657808852482307671594545572021178439941834427791681880046398226420204031011857962462039558914569795113 has 138 digits

GMP-ECM 6.3

246503338164091130565708588332265233657808852482307671594545572021178439941834427791681880046398226420204031011857962462039558914569795113<138>

10716881411999746219038106152582537863578142858832736465670812819201<68>
23001405790315090955547373486948910791359772184055865592966484329545513<71>

N = 246503338164091130565708588332265233657808852482307671594545572021178439941834427791681880046398226420204031011857962462039558914569795113 (138 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=10716881411999746219038106152582537863578142858832736465670812819201 (pp68)
r2=23001405790315090955547373486948910791359772184055865592966484329545513 (pp71)
Version: Msieve v. 1.48
Total time: 33.57 hours.
Factorization parameters were as follows:
name: (77*10^175-41)/9
n: 246503338164091130565708588332265233657808852482307671594545572021178439941834427791681880046398226420204031011857962462039558914569795113
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -41
c1: 0
c2: 0
c3: 0
c4: 0
c5: 77
skew: 0.88
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20518038
Relations: 2270868 relations
Pruned matrix : 1310079 x 1310306
Polynomial selection time: 0.00 hours.
Total sieving time: 30.90 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.38 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 33.57 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

749754208592155137022129371373249344670092472214052402426394292335204733844150174503478894154171267839050408015597742309212443491758760176510619541<147>

2137339957763064960075283638204075138691029569<46>
440776922663080895388916416883289725847822616739<48>
795841273886390262970627243505783091032160662005584551<54>

N = 749754208592155137022129371373249344670092472214052402426394292335204733844150174503478894154171267839050408015597742309212443491758760176510619541 (147 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=2137339957763064960075283638204075138691029569 (pp46)
r2=440776922663080895388916416883289725847822616739 (pp48)
r3=795841273886390262970627243505783091032160662005584551 (pp54)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 26.95 hours.
Factorization parameters were as follows:
name: (77*10^176-41)/9
n: 749754208592155137022129371373249344670092472214052402426394292335204733844150174503478894154171267839050408015597742309212443491758760176510619541
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -41
c1: 0
c2: 0
c3: 0
c4: 0
c5: 770
skew: 0.56
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21279776
Relations: 2837420 relations
Pruned matrix : 1614864 x 1615093
Polynomial selection time: 0.00 hours.
Total sieving time: 24.65 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.06 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 26.95 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

1157757668673260273810908713886544817706920272890975313352455310054175177033136103249873865480596385609884826164404419199582302737980307580304087<145>

64153962280984250526133805503149376630931033<44>
48461597528447521081397921142330978552907799361529<50>
372388666884563948824639029575687434000819815535591<51>

N=1157757668673260273810908713886544817706920272890975313352455310054175177033136103249873865480596385609884826164404419199582302737980307580304087
  ( 145 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=64153962280984250526133805503149376630931033 (pp44)
 r2=48461597528447521081397921142330978552907799361529 (pp50)
 r3=372388666884563948824639029575687434000819815535591 (pp51)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 330.33 hours.
Scaled time: 632.58 units (timescale=1.915).
Factorization parameters were as follows:
n: 1157757668673260273810908713886544817706920272890975313352455310054175177033136103249873865480596385609884826164404419199582302737980307580304087
m: 1000000000000000000000000000000000000
deg: 5
c5: 77
c0: -41
skew: 0.88
# Murphy_E = 9.244e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 9350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1413391 x 1413623
Total sieving time: 321.88 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 7.06 hours.
Time per square root: 0.77 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 330.33 hours.
 --------- CPU info (if available) ----------

2865350329948346733729435191130344355685904796129298649856072527642939515844722618484014348849758352477204371542568912369849428335394906807887<142>

78948555954473096788305481909273<32>
36293891576695781778673684616130257293185271087296698304914206974912417659683114594118328429062739983996682919<110>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3510774066
Step 1 took 4452ms
Step 2 took 2353ms
********** Factor found in step 2: 78948555954473096788305481909273
Found probable prime factor of 32 digits: 78948555954473096788305481909273
Probable prime cofactor has 110 digits

120093467395607690271826405756336577758849596693047893754001889217794242155101447528167337151513382040083036823193202890385912236615319867371<141>

600196536183768820341717791334161377282091<42>
200090237373241593296785545924167411588107947541584123379857315537701181185913518381899762966198081<99>

N=120093467395607690271826405756336577758849596693047893754001889217794242155101447528167337151513382040083036823193202890385912236615319867371
  ( 141 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=600196536183768820341717791334161377282091 (pp42)
 r2=200090237373241593296785545924167411588107947541584123379857315537701181185913518381899762966198081 (pp99)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 164.66 hours.
Scaled time: 316.98 units (timescale=1.925).
Factorization parameters were as follows:
n: 120093467395607690271826405756336577758849596693047893754001889217794242155101447528167337151513382040083036823193202890385912236615319867371
m: 1000000000000000000000000000000000000
deg: 5
c5: 7700
c0: -41
skew: 0.35
# Murphy_E = 5.922e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 12450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1764986 x 1765212
Total sieving time: 161.15 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.03 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 164.66 hours.
 --------- CPU info (if available) ----------

34085878707392651615759185480301018149623727312970340858787073926516157591854803010181496237273129703408587870739265161575918548030101814962372731297034085878707392651615759185480301<182>

410059183913200032116002297972343183671431456821501518016612497755613836976179288350378243<90>
83124290455125710238071862950465787403230249552906316500900576776309913549561180411582688207<92>

Number: 7
N=34085878707392651615759185480301018149623727312970340858787073926516157591854803010181496237273129703408587870739265161575918548030101814962372731297034085878707392651615759185480301
  ( 182 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=410059183913200032116002297972343183671431456821501518016612497755613836976179288350378243 (pp90)
 r2=83124290455125710238071862950465787403230249552906316500900576776309913549561180411582688207 (pp92)
Version: Msieve-1.40
Total time: 263.76 hours.
Scaled time: 460.00 units (timescale=1.744).
Factorization parameters were as follows:
n: 34085878707392651615759185480301018149623727312970340858787073926516157591854803010181496237273129703408587870739265161575918548030101814962372731297034085878707392651615759185480301
m: 1000000000000000000000000000000000000
deg: 5
c5: 77000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1887384 x 1887609
Total sieving time: 252.89 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 5.41 hours.
Time per square root: 5.21 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 263.76 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

226990225680681284625413802887937511268828275818865479125609134859091791733094201871442393163182536376801511707046227315020862848426780868216683871333182782706533351<165>

903044356805939456969795994855427348520536179839681662485202788531459066505282697<81>
251361103106323443634450427272464208167285981641115275437417059147204170155284793583<84>

Number: 85551_184
N=226990225680681284625413802887937511268828275818865479125609134859091791733094201871442393163182536376801511707046227315020862848426780868216683871333182782706533351
  ( 165 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=903044356805939456969795994855427348520536179839681662485202788531459066505282697
 r2=251361103106323443634450427272464208167285981641115275437417059147204170155284793583
Version: 
Total time: 114.69 hours.
Scaled time: 602.95 units (timescale=5.257).
Factorization parameters were as follows:
n: 226990225680681284625413802887937511268828275818865479125609134859091791733094201871442393163182536376801511707046227315020862848426780868216683871333182782706533351
m: 10000000000000000000000000000000000000
deg: 5
c5: 77
c0: -410
skew: 1.40
# Murphy_E = 3.903e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 9400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21347897
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1889785 x 1890033
Total sieving time: 106.53 hours.
Total relation processing time: 2.89 hours.
Matrix solve time: 5.00 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 114.69 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

101195125193754073188190922421555448511501385119671580258729840240464684996938099747212828345982299986712819774662229768129449099145075488498096581224536946548811533<165>

9079865149731060343115493583404152088361158904146402431641817591604015074639<76>
11145003094759772560771167158466344285932671590006877882144427300420450514411718708856547<89>

Number: 85551_185
N=101195125193754073188190922421555448511501385119671580258729840240464684996938099747212828345982299986712819774662229768129449099145075488498096581224536946548811533
  ( 165 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=9079865149731060343115493583404152088361158904146402431641817591604015074639
 r2=11145003094759772560771167158466344285932671590006877882144427300420450514411718708856547
Version: 
Total time: 73.06 hours.
Scaled time: 379.05 units (timescale=5.188).
Factorization parameters were as follows:
n: 101195125193754073188190922421555448511501385119671580258729840240464684996938099747212828345982299986712819774662229768129449099145075488498096581224536946548811533
m: 10000000000000000000000000000000000000
deg: 5
c5: 77
c0: -41
skew: 0.88
# Murphy_E = 5.792e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20284399
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1632319 x 1632567
Total sieving time: 67.57 hours.
Total relation processing time: 1.72 hours.
Matrix solve time: 3.44 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 73.06 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

37360504609412906356137797185832120329936923823386705482775351770984958757884522076661814653081028626880155264434740417273168364871421639980591945657447840853954391072295002426006792819<185>

56674765516945110276476839580125405612313<41>
659208807811344899390006841945673305971191176599201760896209026450399107336324026061630714594157793478361926343075097738429186465979167241446763<144>

Number: n
N=37360504609412906356137797185832120329936923823386705482775351770984958757884522076661814653081028626880155264434740417273168364871421639980591945657447840853954391072295002426006792819
  ( 185 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sat Oct 30 05:54:45 2010  prp41 factor: 56674765516945110276476839580125405612313
Sat Oct 30 05:54:45 2010  prp144 factor: 659208807811344899390006841945673305971191176599201760896209026450399107336324026061630714594157793478361926343075097738429186465979167241446763
Sat Oct 30 05:54:45 2010  elapsed time 02:20:44 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_8_5_185_1
n: 37360504609412906356137797185832120329936923823386705482775351770984958757884522076661814653081028626880155264434740417273168364871421639980591945657447840853954391072295002426006792819
m: 10000000000000000000000000000000000000
deg: 5
c5: 770
c0: -41
skew: 0.56
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4691130 hash collisions in 33877702 relations
Msieve: matrix is 1272639 x 1272864 (358.9 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,187,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830498)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Total of 4 processors activated (22643.70 BogoMIPS).

66569621395662793720123653180801635958123668029567085495113218641572728587889433685101738409996070667728917764906965057656520249266464723632854881<146>

111548634328394577358806866501273<33>
596776659763351066760149624233132385644945407493434648143095112525234981478162671837353446176390311695709919781897<114>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1787426385
Step 1 took 4375ms
Step 2 took 2446ms
********** Factor found in step 2: 111548634328394577358806866501273
Found probable prime factor of 33 digits: 111548634328394577358806866501273
Probable prime cofactor has 114 digits

132646328711383983558745958163003388510760718081761818874022163995651956705616452279191236384371161654530388929371859339765818936038629367208104862952224926829184259532016861587862688654949<189>

234762482451513654421595884313301391805737829<45>
1874691798014306917119699236819828722910482670021<49>
301395429275814675843614539748302412977649213006863605532124416641007853835212077097665667074061<96>

Number: n
N=132646328711383983558745958163003388510760718081761818874022163995651956705616452279191236384371161654530388929371859339765818936038629367208104862952224926829184259532016861587862688654949
  ( 189 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sun Oct 31 06:04:12 2010  prp45 factor: 234762482451513654421595884313301391805737829
Sun Oct 31 06:04:12 2010  prp49 factor: 1874691798014306917119699236819828722910482670021
Sun Oct 31 06:04:12 2010  prp96 factor: 301395429275814675843614539748302412977649213006863605532124416641007853835212077097665667074061
Sun Oct 31 06:04:12 2010  elapsed time 05:45:08 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_8_5_191_1
n: 132646328711383983558745958163003388510760718081761818874022163995651956705616452279191236384371161654530388929371859339765818936038629367208104862952224926829184259532016861587862688654949
m: 100000000000000000000000000000000000000
deg: 5
c5: 7700
c0: -41
skew: 0.35
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 13450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3598201 hash collisions in 28472621 relations
Msieve: matrix is 1816640 x 1816867 (517.8 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,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.85 BogoMIPS).

226457866631609812507591485301855101669288578200459915340050014837401781252876676633753809712454388591699701575587959617562660450545278191725111912830779212108966819805122712224107410436649<189>

8361647049720125570135739437727900092520376159<46>
410415134128214389420205540822255302328071985665791644636569<60>
65989101156591171532744248430733881664223492710406548642287802532737924129910776719<83>

Number: n
N=226457866631609812507591485301855101669288578200459915340050014837401781252876676633753809712454388591699701575587959617562660450545278191725111912830779212108966819805122712224107410436649
  ( 189 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sun Nov  7 04:04:52 2010  prp46 factor: 8361647049720125570135739437727900092520376159
Sun Nov  7 04:04:52 2010  prp60 factor: 410415134128214389420205540822255302328071985665791644636569
Sun Nov  7 04:04:52 2010  prp83 factor: 65989101156591171532744248430733881664223492710406548642287802532737924129910776719
Sun Nov  7 04:04:52 2010  elapsed time 05:37:15 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
name: KA_8_5_192_1
n: 226457866631609812507591485301855101669288578200459915340050014837401781252876676633753809712454388591699701575587959617562660450545278191725111912830779212108966819805122712224107410436649
m: 100000000000000000000000000000000000000
deg: 5
c5: 77000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 30700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4437312 hash collisions in 30885661 relations
Msieve: matrix is 1942935 x 1943160 (550.6 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,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.85 BogoMIPS).

32588744017108667378540269741689764468026844660461261929279039639339946732216597489650957622359094947094078625212091355137319232987934969796159522325194188707449998497531931678756244236130421<191>

5576203617137667784246966274662806365371680871177<49>
5844252874294583356272940512903163344554444088097548269620586876000505305716489024561974856370870724971371980934959530443008736521892140898573<142>

Number: n
N=32588744017108667378540269741689764468026844660461261929279039639339946732216597489650957622359094947094078625212091355137319232987934969796159522325194188707449998497531931678756244236130421
  ( 191 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat Nov 13 19:17:10 2010  prp49 factor: 5576203617137667784246966274662806365371680871177
Sat Nov 13 19:17:10 2010  prp142 factor: 5844252874294583356272940512903163344554444088097548269620586876000505305716489024561974856370870724971371980934959530443008736521892140898573
Sat Nov 13 19:17:10 2010  elapsed time 03:40:41 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.080).
Factorization parameters were as follows:
name: KA_8_5_194_1
n: 32588744017108667378540269741689764468026844660461261929279039639339946732216597489650957622359094947094078625212091355137319232987934969796159522325194188707449998497531931678756244236130421
m: 1000000000000000000000000000000000000000
deg: 5
c5: 77
c0: -41
skew: 0.88
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 24400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4463863 hash collisions in 33372563 relations
Msieve: matrix is 1658034 x 1658259 (469.2 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,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.88 BogoMIPS (lpj=2830444)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.63 BogoMIPS).

28518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517<197>

1607842626452659102177556943356260622941<40>
23981502562765124037384631443176649845212009358556548366571043784478946461043<77>
739617251247442014923286576737877527756101595462633701966412847033172849829071459<81>

Number: n
N=28518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517
  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:

Fri Oct 29 19:30:20 2010  prp40 factor: 1607842626452659102177556943356260622941
Fri Oct 29 19:30:20 2010  prp77 factor: 23981502562765124037384631443176649845212009358556548366571043784478946461043
Fri Oct 29 19:30:20 2010  prp81 factor: 739617251247442014923286576737877527756101595462633701966412847033172849829071459
Fri Oct 29 19:30:20 2010  elapsed time 05:19:15 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
name: KA_8_5_195_1
n: 28518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517
m: 1000000000000000000000000000000000000000
deg: 5
c5: 770
c0: -41
skew: 0.56
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 31450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6355303 hash collisions in 36941795 relations
Msieve: matrix is 1908639 x 1908864 (539.1 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:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830498)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Total of 4 processors activated (22643.70 BogoMIPS).

102438685602005687735950917416670791648671095705856466623703917429405000762723192625625193273413599878316882637667622338957540901412241862845945205636283332754828352724150709254190473<183>

195304136697029166718098794032549468287400871657138376973193714749537660403772528540749<87>
524508529795845922463297659561061530756828161656753070921989338672573468598685711989594666847277<96>

N=102438685602005687735950917416670791648671095705856466623703917429405000762723192625625193273413599878316882637667622338957540901412241862845945205636283332754828352724150709254190473
  ( 183 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=195304136697029166718098794032549468287400871657138376973193714749537660403772528540749 (pp87)
 r2=524508529795845922463297659561061530756828161656753070921989338672573468598685711989594666847277 (pp96)
Version: Msieve v. 1.49
Total time:
Scaled time: 59.73 units (timescale=0.499).
Factorization parameters were as follows:
n: 102438685602005687735950917416670791648671095705856466623703917429405000762723192625625193273413599878316882637667622338957540901412241862845945205636283332754828352724150709254190473
m: 1000000000000000000000000000000000000000
deg: 5
c5: 77000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7500000, 22220001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2994817 x 2995041
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,199.000,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time:

3257276173869736078419415256407854186963551238349447815087514441288511546714891505041815085564481528208746164889940812302864066319500385973638177571996609083928487226372896190674359<181>

244137720221638775713683674610103<33>

13341961950462386419027673460716152341506612604313260595022002237101497198926877088023130839864853305391420080095182362575134547245776425342923236353<149>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3566544978
Step 1 took 6093ms
Step 2 took 2948ms
********** Factor found in step 2: 244137720221638775713683674610103
Found probable prime factor of 33 digits: 244137720221638775713683674610103
Composite cofactor has 149 digits

13341961950462386419027673460716152341506612604313260595022002237101497198926877088023130839864853305391420080095182362575134547245776425342923236353<149>

102630702466489687594331080962166797695042542559345267<54>
129999713826559040088449401033267448612565459300836047003456712760168831468164519944238152156859<96>

13341961950462386419027673460716152341506612604313260595022002237101497198926877088023130839864853305391420080095182362575134547245776425342923236353=102630702466489687594331080962166797695042542559345267*129999713826559040088449401033267448612565459300836047003456712760168831468164519944238152156859

cado polynomial
n: 13341961950462386419027673460716152341506612604313260595022002237101497198926877088023130839864853305391420080095182362575134547245776425342923236353
skew: 0.70
type: snfs
c0: -205
c5: 1232
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 1232*x^5-205
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16000000
tasks.lim1 = 16000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 102630702466489687594331080962166797695042542559345267 129999713826559040088449401033267448612565459300836047003456712760168831468164519944238152156859
Info:Square Root: Total cpu/real time for sqrt: 1892.94/266.531
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1849.24/876.58
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 687.3000000000001s
Info:Filtering - Merging: Merged matrix has 4292210 rows and total weight 732993394 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1668.52/235.155
Info:Filtering - Merging: Total cpu/real time for replay: 161.31/128.685
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1387.68/680.531
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 53927787
Info:Lattice Sieving: Average J: 1893.73 for 7883412 special-q, max bucket fill -bkmult 1.0,1s:1.075430
Info:Lattice Sieving: Total time: 2.86349e+06s
Info:Quadratic Characters: Total cpu/real time for characters: 166.69/41.4057
Info:Generate Factor Base: Total cpu/real time for makefb: 8.72/1.57106
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 518.46/173.256
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 172.2s
Info:Square Root: Total cpu/real time for sqrt: 1892.94/266.531
Info:Generate Free Relations: Total cpu/real time for freerel: 288.39/30.1177
Info:Linear Algebra: Total cpu time for bwc: 482798
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5.66003e+06/313.362
102630702466489687594331080962166797695042542559345267 129999713826559040088449401033267448612565459300836047003456712760168831468164519944238152156859

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1447421499396184827048035847099428278087726283944293504323302033149040673779380140076791962676599146996239980406136581327053048643614641362993859304784068211243<160>

1239243420878589014567456734964505125110039848759874983949781835507007<70>
1167988044164885186397550721503781732925651847211575312830583535977165634638502394187209749<91>

1447421499396184827048035847099428278087726283944293504323302033149040673779380140076791962676599146996239980406136581327053048643614641362993859304784068211243=1239243420878589014567456734964505125110039848759874983949781835507007*1167988044164885186397550721503781732925651847211575312830583535977165634638502394187209749

cado polynomial
n: 1447421499396184827048035847099428278087726283944293504323302033149040673779380140076791962676599146996239980406136581327053048643614641362993859304784068211243
skew: 0.88
type: snfs
c0: -41
c5: 77
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 77*x^5-41
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16200000
tasks.lim1 = 16200000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts) 
Info:Square Root: Factors: 1167988044164885186397550721503781732925651847211575312830583535977165634638502394187209749 1239243420878589014567456734964505125110039848759874983949781835507007
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.89/2.63973
Info:Generate Free Relations: Total cpu/real time for freerel: 196.85/51.1534
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47982000
Info:Lattice Sieving: Average J: 1894.01 for 4260736 special-q, max bucket fill -bkmult 1.0,1s:1.074700
Info:Lattice Sieving: Total time: 1.31515e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.77/243.44
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 242.60000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 810.08/587.2
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 490.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 638.08/678.842
Info:Filtering - Merging: Merged matrix has 3423898 rows and total weight 582253493 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 473.54/184.818
Info:Filtering - Merging: Total cpu/real time for replay: 136.15/126.99
Info:Linear Algebra: Total cpu/real time for bwc: 215599/55212.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 35378.8, iteration CPU time 0.31, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (107520 iterations)
Info:Linear Algebra: Lingen CPU time 750.37, WCT time 216.73
Info:Linear Algebra: Mksol: WCT time 19173.5, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (53760 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 123.83/52.2502
Info:Square Root: Total cpu/real time for sqrt: 975.28/305.905
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.56278e+06/116579
Info:root: Cleaning up computation data in /tmp/cado.lfa85j_g
1167988044164885186397550721503781732925651847211575312830583535977165634638502394187209749 1239243420878589014567456734964505125110039848759874983949781835507007

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)

20627228477362286461305194579057201715542482714650422054525533562108049173169601358718218664695025087531777986728923392616523749440787799396184766389940341769066122322143731599574596898414918040252563<200>

64969110020418123197265598860781442735572951764400900513<56>
36766839468803618678079792531600219462842138204103358889203687<62>
8635304623341342090237547154870247284053808243069017253856655722755061053973785173<82>

Number: n
N=20627228477362286461305194579057201715542482714650422054525533562108049173169601358718218664695025087531777986728923392616523749440787799396184766389940341769066122322143731599574596898414918040252563
  ( 200 digits)
SNFS difficulty: 204 digits.
Divisors found:

Wed Feb  5 07:50:25 2014  prp56 factor: 64969110020418123197265598860781442735572951764400900513
Wed Feb  5 07:50:25 2014  prp62 factor: 36766839468803618678079792531600219462842138204103358889203687
Wed Feb  5 07:50:25 2014  prp82 factor: 8635304623341342090237547154870247284053808243069017253856655722755061053973785173
Wed Feb  5 07:50:25 2014  elapsed time 17:17:08 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.703).
Factorization parameters were as follows:
#
#  77*10^203-41 - 85(202)1
#
#  c200, diff: 204.89
#
skew: 0.221
n: 20627228477362286461305194579057201715542482714650422054525533562108049173169601358718218664695025087531777986728923392616523749440787799396184766389940341769066122322143731599574596898414918040252563
m: 10000000000000000000000000000000000000000
deg: 5
c5: 77000
c0: -41
# Murphy_E = 6.604e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 29100000)
Primes: RFBsize:1163205, AFBsize:1163540,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8855029 hash collisions in 54228134 relations (46965530 unique)
Msieve: matrix is 2810833 x 2811058 (798.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 12hrs 53min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 3hrs 41min 10sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18200000,18200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

7366915493776508382012991473448612167568789672529238143580696928728196524090716176521202983787528211507924463605718095527475340675373319141439928661183857447849507<163>

1689219188695880557553063316396857894622415161136268219<55>
4361136519804721913356726226252869885277356994370351398154549232408867724902083432462861255370134319009748153<109>

Number: n
N=7366915493776508382012991473448612167568789672529238143580696928728196524090716176521202983787528211507924463605718095527475340675373319141439928661183857447849507  ( 163 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Dec 11 07:18:54 2023  prp55 factor: 1689219188695880557553063316396857894622415161136268219
Mon Dec 11 07:18:54 2023  prp109 factor: 4361136519804721913356726226252869885277356994370351398154549232408867724902083432462861255370134319009748153
Mon Dec 11 07:18:54 2023  elapsed time 02:49:59 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 77x10^204-41 = 85(203)1
#
n: 7366915493776508382012991473448612167568789672529238143580696928728196524090716176521202983787528211507924463605718095527475340675373319141439928661183857447849507
m: 10000000000000000000000000000000000
deg: 6
c6: 77
c0: -41
skew: 0.90
# Murphy_E = 6.761e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7174295 hash collisions in 23610862 relations (15150361 unique)
Msieve: matrix is 2324687 x 2324913 (658.7 MB)

Sieving start time: 2023/12/09 21:56:54
Sieving end time  : 2023/12/11 04:28:28

Total sieving time: 30hrs 31min 34secs.

Total relation processing time: 2hrs 41min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 38sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1708856675045153726846249535850972021976818567301074918705689409929510292367413399121233521619498956821410884432815797897214551911345022106126955175058141202914024250751565401625377410379028138873<196>

114112265573304382540282588798803270207963019<45>
451260735588863129228520400554506812528003825360322104038982902977423<69>
33185301237924474891308883249733786491510696934624814154534877232698739049121039429<83>

#
# N = 77x10^205-41 = 85(204)1
#
n: 1708856675045153726846249535850972021976818567301074918705689409929510292367413399121233521619498956821410884432815797897214551911345022106126955175058141202914024250751565401625377410379028138873
m: 100000000000000000000000000000000000000000
deg: 5
c5: 77
c0: -41
skew: 0.88
# Murphy_E = 8.558e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1708856675045153726846249535850972021976818567301074918705689409929510292367413399121233521619498956821410884432815797897214551911345022106126955175058141202914024250751565401625377410379
028138873 (196 digits)
Using B1=39030000, B2=192392390206, polynomial Dickson(12), sigma=1:1530084565
Step 1 took 125683ms
Step 2 took 37973ms
********** Factor found in step 2: 114112265573304382540282588798803270207963019
Found prime factor of 45 digits: 114112265573304382540282588798803270207963019
Composite cofactor 14975223447363808745296389848894612726601096881384917028096352027824817171044974287152444926000184752266247439267805006926337652015796899807876679811467 has 152 digits



#
# N = 77x10^205-41 = 85(204)1
#
# n: 1708856675045153726846249535850972021976818567301074918705689409929510292367413399121233521619498956821410884432815797897214551911345022106126955175058141202914024250751565401625377410379028138873
#
# Found prime factor of 45 digits: 114112265573304382540282588798803270207963019
# Composite cofactor 14975223447363808745296389848894612726601096881384917028096352027824817171044974287152444926000184752266247439267805006926337652015796899807876679811467 has 152 digits
#
n: 14975223447363808745296389848894612726601096881384917028096352027824817171044974287152444926000184752266247439267805006926337652015796899807876679811467
m: 100000000000000000000000000000000000000000
deg: 5
c5: 77
c0: -41
skew: 0.88
# Murphy_E = 8.558e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



Number: n
N=14975223447363808745296389848894612726601096881384917028096352027824817171044974287152444926000184752266247439267805006926337652015796899807876679811467
  ( 152 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Jun 14 00:39:14 2021  p69 factor: 451260735588863129228520400554506812528003825360322104038982902977423
Mon Jun 14 00:39:14 2021  p83 factor: 33185301237924474891308883249733786491510696934624814154534877232698739049121039429
Mon Jun 14 00:39:14 2021  elapsed time 02:09:52 (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 = 77x10^205-41 = 85(204)1
#
# n: 1708856675045153726846249535850972021976818567301074918705689409929510292367413399121233521619498956821410884432815797897214551911345022106126955175058141202914024250751565401625377410379028138873
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 17088566750451537268462495358509720219768185673010749187056894099295102923674133991212335216194989568214108844328157978972145519113450221061269551750581412029140242507515654016253774103
79028138873 (196 digits)
# Using B1=39030000, B2=192392390206, polynomial Dickson(12), sigma=1:1530084565
# Step 1 took 125683ms
# Step 2 took 37973ms
# ********** Factor found in step 2: 114112265573304382540282588798803270207963019
# Found prime factor of 45 digits: 114112265573304382540282588798803270207963019
# Composite cofactor 14975223447363808745296389848894612726601096881384917028096352027824817171044974287152444926000184752266247439267805006926337652015796899807876679811467 has 152 digits
#
n: 14975223447363808745296389848894612726601096881384917028096352027824817171044974287152444926000184752266247439267805006926337652015796899807876679811467
m: 100000000000000000000000000000000000000000
deg: 5
c5: 77
c0: -41
skew: 0.88
# Murphy_E = 8.558e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8794269 hash collisions in 60006175 relations (53446474 unique)
Msieve: matrix is 2309225 x 2309451 (803.1 MB)

Sieving start time : 2021/06/13 06:48:45
Sieving end time  : 2021/06/13 22:28:04

Total sieving time: 15hrs 39min 19secs.

Total relation processing time: 1hrs 44min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 9sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119993] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241092K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 486144K reserved, 0K cma-reserved)
[    0.154044] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.33 BogoMIPS (lpj=12798672)
[    0.150212] smpboot: Total of 16 processors activated (102389.37 BogoMIPS)

3913119969421383923460318962946397347429876982906036700397764750322677695973527717060106018709157519669620569283225342695487279184792376630295237584557065836245649520156707<172>

299028492414089131152336902980117593960620849994502220321<57>
13086110750953349597317941939789324928840185638928380585436986056883412421072964505014068208291815867575234507811267<116>

08/14/24 11:47:32 v1.34.5 @ RYZEN-9,
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, ****************************
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, Starting factorization of 7699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, using pretesting plan: normal
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, ****************************
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, div: found prime factor = 3
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, div: found prime factor = 3
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, div: found prime factor = 37
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C206
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C206
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C206
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C206
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, prp16 = 3497384177296213
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 58.46
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C190 input, B1=2K, B2=gmp-ecm default
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
08/14/24 11:47:32 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 58.46
08/14/24 11:47:33 v1.34.5 @ RYZEN-9, prp19 = 1689584777155359853 (curve 36 stg2 B1=11000 sigma=933987850 thread=0)
08/14/24 11:47:33 v1.34.5 @ RYZEN-9, Finished 36 curves using Lenstra ECM method on C190 input, B1=11K, B2=gmp-ecm default
08/14/24 11:47:33 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 17.61
08/14/24 11:47:33 v1.34.5 @ RYZEN-9, scheduled 38 curves at B1=11000 toward target pretesting depth of 52.92
08/14/24 11:47:34 v1.34.5 @ RYZEN-9, Finished 38 curves using Lenstra ECM method on C172 input, B1=11K, B2=gmp-ecm default
08/14/24 11:47:34 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
08/14/24 11:47:34 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 52.92
08/14/24 11:48:18 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c208: 7699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959
08/14/24 11:48:18 v1.34.5 @ RYZEN-9, nfs: input divides 77*10^206 - 41
08/14/24 11:48:18 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 3913119969421383923460318962946397347429876982906036700397764750322677695973527717060106018709157519669620569283225342695487279184792376630295237584557065836245649520156707
08/14/24 11:48:18 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c172: 3913119969421383923460318962946397347429876982906036700397764750322677695973527717060106018709157519669620569283225342695487279184792376630295237584557065836245649520156707
08/14/24 11:48:18 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 3913119969421383923460318962946397347429876982906036700397764750322677695973527717060106018709157519669620569283225342695487279184792376630295237584557065836245649520156707
# 77*10^206-41, difficulty: 208.89, anorm: -6.57e+026, rnorm: 1.34e+047
# scaled difficulty: 212.27, suggest sieving rational side
# size = 1.044e-014, alpha = 1.068, combined = 5.040e-012, rroots = 1
type: snfs
size: 208
skew: 0.5562
c5: 770
c0: -41
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 3913119969421383923460318962946397347429876982906036700397764750322677695973527717060106018709157519669620569283225342695487279184792376630295237584557065836245649520156707
# 77*10^206-41, difficulty: 209.09, anorm: 2.23e+026, rnorm: 1.90e+047
# scaled difficulty: 212.58, suggest sieving rational side
# size = 8.283e-015, alpha = 0.375, combined = 4.388e-012, rroots = 1
type: snfs
size: 209
skew: 1.1125
c5: 385
c0: -656
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 3913119969421383923460318962946397347429876982906036700397764750322677695973527717060106018709157519669620569283225342695487279184792376630295237584557065836245649520156707
# 77*10^206-41, difficulty: 209.89, anorm: -7.70e+032, rnorm: 1.55e+040
# scaled difficulty: 211.10, suggest sieving rational side
# size = 1.381e-010, alpha = -0.413, combined = 4.194e-012, rroots = 2
type: snfs
size: 209
skew: 0.4179
c6: 7700
c0: -41
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
08/14/24 11:48:19 v1.34.5 @ RYZEN-9, test: fb generation took 1.6364 seconds
08/14/24 11:48:19 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 20200000-20202000
skew: 0.5562
c5: 770
c0: -41
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/14/24 11:51:45 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
08/14/24 11:51:47 v1.34.5 @ RYZEN-9, test: fb generation took 1.7188 seconds
08/14/24 11:51:47 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 1.1125
c5: 385
c0: -656
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/14/24 11:54:57 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
08/14/24 11:54:59 v1.34.5 @ RYZEN-9, test: fb generation took 2.5472 seconds
08/14/24 11:54:59 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.4179
c6: 7700
c0: -41
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/14/24 11:58:01 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
08/14/24 11:58:01 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 3913119969421383923460318962946397347429876982906036700397764750322677695973527717060106018709157519669620569283225342695487279184792376630295237584557065836245649520156707
# 77*10^206-41, difficulty: 208.89, anorm: -6.57e+026, rnorm: 1.34e+047
# scaled difficulty: 212.27, suggest sieving rational side
# size = 1.044e-014, alpha = 1.068, combined = 5.040e-012, rroots = 1
type: snfs
size: 208
skew: 0.5562
c5: 770
c0: -41
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
08/15/24 21:52:40 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/15/24 21:54:47 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22169821
08/15/24 23:52:58 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/15/24 23:55:09 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23312295
08/16/24 02:03:40 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/16/24 02:05:55 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24543323
08/16/24 04:23:57 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/16/24 04:26:20 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25856107
08/16/24 06:44:43 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/16/24 06:47:11 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27151910
08/16/24 09:18:37 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/16/24 09:23:25 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
08/16/24 14:57:34 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
08/16/24 15:10:02 v1.34.5 @ RYZEN-9, prp57 = 299028492414089131152336902980117593960620849994502220321
08/16/24 15:10:02 v1.34.5 @ RYZEN-9, prp116 = 13086110750953349597317941939789324928840185638928380585436986056883412421072964505014068208291815867575234507811267
08/16/24 15:10:02 v1.34.5 @ RYZEN-9, NFS elapsed time = 184904.1782 seconds.
08/16/24 15:10:02 v1.34.5 @ RYZEN-9,
08/16/24 15:10:02 v1.34.5 @ RYZEN-9,
08/14/24 11:58:01 v1.34.5 @ RYZEN-9, test: test sieving took 583.34 seconds

YAFU

52474071985678254070765420484968242668364916727289786007861537227083684919611172810913395471630002545441230055558204718352987535241735384328936959687522110625572828704637<170>

1888479222274840233343797357732153170658403<43>
27786417434060298397818500881864462049610029171568930079022203169698061393437097830203539309128134404712598894975298057181483679<128>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 52474071985678254070765420484968242668364916727289786007861537227083684919611172810913395471630002545441230055558204718352987535241735384328936959687522110625572828704637 (170 digits)
Using B1=55030000, B2=288596528236, polynomial Dickson(12), sigma=1:1092069233
Step 1 took 129658ms
********** Factor found in step 1: 1888479222274840233343797357732153170658403
Found prime factor of 43 digits: 1888479222274840233343797357732153170658403
Prime cofactor 27786417434060298397818500881864462049610029171568930079022203169698061393437097830203539309128134404712598894975298057181483679 has 128 digits

723745710174705978308437699941550761835507196745817641527806681906237202595931993405151989562172949900339444816468383017404212064638946913683<141>

2004084019844187658053563427194906576383<40>
361135412990806309990101515388686599752925769240145050750163703474579641552303147872907230815216853101<102>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1706405475
Step 1 took 6598ms
********** Factor found in step 1: 2004084019844187658053563427194906576383
Found probable prime factor of 40 digits: 2004084019844187658053563427194906576383
Probable prime cofactor 361135412990806309990101515388686599752925769240145050750163703474579641552303147872907230815216853101 has 102 digits

GMP-ECM 6.3

2477117205003541144525926192668260088913973887187359614804706075472403264993522726060623168331397912955225623804522665522562755337740491693096639681960877467304033303540903224550977879<184>

8015512773468267772772150158660589241739332197570142145512691336570653268403444212143600621209907859341905686284667402804591<124>

1977471029071350001129306685401914743<37>
4053416032715519765149665815385362972474425667113971825207850336800512105855551947873737<88>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1991510278
Step 1 took 13384ms
Step 2 took 8627ms
********** Factor found in step 2: 1977471029071350001129306685401914743
Found probable prime factor of 37 digits: 1977471029071350001129306685401914743
Probable prime cofactor 4053416032715519765149665815385362972474425667113971825207850336800512105855551947873737 has 88 digits

GMP-ECM 6.3

17604676812644753703473153284205441589917544071383927903309221122951386590391260019867373814414980980109728656472464647635358898492388489352640564401476888419071744619201236949452303313721<188>

2230460158881140480852382816274993646428603416704714803113988030885086306190110528716452095370077809930231982275313215310762657996664971082067732216103987222275247190251456481<175>

1217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217<220>

44977603788929019250304517148917175435272424103830633551594880677779499467196525245134461599459160064337<104>
27058055068374587532010360915131416091203438769052051390869147440575377216507624858593803591107347545971847323108241<116>

Number: n
N=1217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217
  ( 220 digits)
SNFS difficulty: 223 digits.
Divisors found:

Thu May  9 20:29:49 2019  p104 factor: 44977603788929019250304517148917175435272424103830633551594880677779499467196525245134461599459160064337
Thu May  9 20:29:49 2019  p116 factor: 27058055068374587532010360915131416091203438769052051390869147440575377216507624858593803591107347545971847323108241
Thu May  9 20:29:49 2019  elapsed time 10:12:17 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 77x10^221-41 = 85(220)1
#
n: 1217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217006480164374901217
m: 10000000000000000000000000000000000000
deg: 6
c6: 77
c0: -410
skew: 1.32
# Murphy_E = 1.755e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 95000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14349995 hash collisions in 71506144 relations (59020730 unique)
Msieve: matrix is 4638168 x 4638393 (1616.1 MB)

Sieving start time: 2019/05/07 07:47:51
Sieving end time  : 2019/05/09 10:15:33

Total sieving time: 50hrs 27min 42secs.

Total relation processing time: 9hrs 31min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 38sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285084K/16703460K available (12300K kernel code, 2473K rwdata, 4276K rodata, 2408K init, 2416K bss, 418376K reserved, 0K cma-reserved)
[    0.076569] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.92 BogoMIPS (lpj=11977856)
[    0.074217] smpboot: Total of 16 processors activated (95822.84 BogoMIPS)

479430157653128407340743088805521861061663938296095455792153199794356330849734283530529529092303770229750968858358526648260341100847077071960197477916147254762968361374532064023642847446480823631<195>

245553207342993943615694125254547676590864541600779<51>
1952449177271181656036294504711648822472686405920610732419038830690117749043750142605510311701249421546943234919172447136573247209290817547571789<145>

Number: 85551_222
N = 479430157653128407340743088805521861061663938296095455792153199794356330849734283530529529092303770229750968858358526648260341100847077071960197477916147254762968361374532064023642847446480823631 (195 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=245553207342993943615694125254547676590864541600779 (pp51)
r2=1952449177271181656036294504711648822472686405920610732419038830690117749043750142605510311701249421546943234919172447136573247209290817547571789 (pp145)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 92.16 hours.
Factorization parameters were as follows:
n: 479430157653128407340743088805521861061663938296095455792153199794356330849734283530529529092303770229750968858358526648260341100847077071960197477916147254762968361374532064023642847446480823631
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7700
c0: -41
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 35297430
Relations: 9319062 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 30.60 hours.
Total relation processing time: 0.48 hours.
Pruned matrix : 8053668 x 8053894
Matrix solve time: 60.78 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 92.16 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

2006559727536006758787308026787734985921473873071428896682557160980426692122566368729377790731814767096534150283173677285282614533680670852813890575514432134853278482314139170565291<181>

1074693517916927878812636338868675079873<40>
1867099497748260052809881478254897041599341206302989249845952780317276775645082931054757778114698359757430069379368038885757745543391145730667<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3279546902
Step 1 took 23448ms
Step 2 took 8896ms
********** Factor found in step 2: 1074693517916927878812636338868675079873
Found probable prime factor of 40 digits: 1074693517916927878812636338868675079873

2532587916032084672403146374237384208888696899816593626028787417359754829208527625210318683421639445800383867848556037802878501599854217577986438031900533615055470704393944901856464881228143242659713653826921<208>

134329937028191659699499348717004950639<39>

18853488448375982949490169629521726318629890488806680442454128590153011307337687586611840796200081953243817490109209535998671350420605540518696346120956020136762830768039<170>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=738009167
Step 1 took 98045ms
********** Factor found in step 1: 134329937028191659699499348717004950639
Found probable prime factor of 39 digits: 134329937028191659699499348717004950639

279551343264740736128078000835848608854324791633383632785844785486618742668723566532303564393355113912107336327579323964559944559930872595137473565000344490161555461537295206166137277235656821413<195>

150138620290884965606151795367157<33>
1861954923544162336331114165554756601557431627415820258973847787483510289955923562487556899814651862126077324450698785304955939409484514398784076614571627528481009<163>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1271933601
Step 1 took 12122ms
Step 2 took 7082ms
********** Factor found in step 2: 150138620290884965606151795367157
Found probable prime factor of 33 digits: 150138620290884965606151795367157
Probable prime cofactor 1861954923544162336331114165554756601557431627415820258973847787483510289955923562487556899814651862126077324450698785304955939409484514398784076614571627528481009 has 163 digits

GMP-ECM 6.3

2885066575771030058453816415664658537759562635982727872519680420638704523112837608972617782423375374612163164690488345052118807255444874236907532856503597574268121518135219397881498169505381967034123485449595477840107<217>

195489180381902066588326972783594172636187958319201156607915934953293049736544995808045826954828160939200574400532491120759514556038073948908399822077033478470443026130262861617761111515048996036781127<201>

10810482855138923113584530912117<32>
18083297758432075008350718150374883281985656666062529421791570521614683521057882927795393500314192687606803152327716182210497455096359392864587528503481705536878669491531<170>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=100216987
Step 1 took 11310ms
Step 2 took 6537ms
********** Factor found in step 2: 10810482855138923113584530912117
Found probable prime factor of 32 digits: 10810482855138923113584530912117
Probable prime cofactor 18083297758432075008350718150374883281985656666062529421791570521614683521057882927795393500314192687606803152327716182210497455096359392864587528503481705536878669491531 has 170 digits

GMP-ECM 6.3

1411829516471762804325740246312849028654077668534571939949123799267347427646831846103227989569449737636246386605936266285096160453702863772098184555726251428085954097383853667951355067836702153007063818904513508969806078749<223>

26214629445820339206411486719724288404206632390767779501488049234507044226789250685964572910970734843455306811228297635116599290666722556018925245891306361162860844183624455129076588948640208405564445957<203>

3094369088277351746723128999413075389760901<43>

8471720308069045957719550585529611158164134301141279061125360789245116075762230731453702273595851614073239840254060978183612790943267110520208895340308810934657<160>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3338157608
Step 1 took 12137ms
Step 2 took 7207ms
********** Factor found in step 2: 3094369088277351746723128999413075389760901
Found probable prime factor of 43 digits: 3094369088277351746723128999413075389760901
Composite cofactor 8471720308069045957719550585529611158164134301141279061125360789245116075762230731453702273595851614073239840254060978183612790943267110520208895340308810934657 has 160 digits

GMP-ECM 6.3

8471720308069045957719550585529611158164134301141279061125360789245116075762230731453702273595851614073239840254060978183612790943267110520208895340308810934657<160>

1394810551615878094955022661479806429<37>
18053654429024902723940849381486793827087<41>
336427323002063383909523343224613736197987745782520179324729277217733919324102851259<84>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1405094270
Step 1 took 15693ms
Step 2 took 9220ms
********** Factor found in step 2: 1394810551615878094955022661479806429
Found probable prime factor of 37 digits: 1394810551615878094955022661479806429
Composite cofactor 6073742629961193143807772792325625577778244708317850050298636299301742581045143145708378913055215238217797351966177326252533 has 124 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2554202371
Step 1 took 12870ms
Step 2 took 8252ms
********** Factor found in step 2: 18053654429024902723940849381486793827087
Found probable prime factor of 41 digits: 18053654429024902723940849381486793827087
Probable prime cofactor 336427323002063383909523343224613736197987745782520179324729277217733919324102851259 has 84 digits

GMP-ECM 6.3

5129399300654053488424576334869305946406681611908796192498138780793419060903151955726171746262450219076386719713365902819757073423800683475460757762755755615811513426187177450728826382430391217376962602542882963102619<217>

811637405247517651658964387522875231550032285838253767656933274343290351188251804680633402692275606733196596835191519933188678380284244671506092450901710202028922012009060201213163153869725752779708777809322356382775906847<222>

234359900398065873195104526454428131326937589010331193420665888366414319935838102675194715460948086444399215053562947350806388718582918178352529155848206971333530009300244697332280862388114561236265367944238465896674239597<222>

2776287902216390188715123441166512076399629271215393028641010853044455233654172233124939207568636459660581362519630263203222299421016160183435508999809407815657772289559357990676374001621667279842001504148693<208>

3846183316526027442686074282829788077116748292469796490835304472724373764433684926597863921036059275372780882886550765233799566645779622644708522249382210633768801486649239942181589477492593069027990838015316080690705400187553<226>

503649090935594681595438953006515422289<39>

7636633095835106408962312745281992334962384178876039487125258119538664402600425134264716703627105574120954893383277865212373904476821851040270604047839860644207313161380473899466841021777<187>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=191801591
Step 1 took 26814ms
Step 2 took 9688ms
********** Factor found in step 2: 503649090935594681595438953006515422289
Found probable prime factor of 39 digits: 503649090935594681595438953006515422289

842659660232011795786336034578787264173486776189182921504539886692787565708030662502731324078042247655594519393209307455536357212226630087681092622304106387364729339802926745487<177>

21948391262321128635233819796443188701953<41>

38392775587093175638287219836038736850910508124969425625565071855538273322189197014494443555580436826204122188482705831014406036910670479<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1356954678
Step 1 took 22736ms
Step 2 took 8890ms
********** Factor found in step 2: 21948391262321128635233819796443188701953
Found probable prime factor of 41 digits: 21948391262321128635233819796443188701953

38392775587093175638287219836038736850910508124969425625565071855538273322189197014494443555580436826204122188482705831014406036910670479<137>

1082414718928109727023222377465729891514103613<46>
35469561634483919195999872071518967673987283425248549021821234999225463244221436442882596283<92>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=769694090
Step 1 took 36129ms
Step 2 took 15439ms
********** Factor found in step 2: 1082414718928109727023222377465729891514103613
Found probable prime factor of 46 digits: 1082414718928109727023222377465729891514103613
Probable prime cofactor 

451410709012234423523623908155942159798649198376232095646265038354240762303472571498269636041452710961015479090822200360417908104275945550523424411886890829546805512041697212404851214697009820584316546428729151549596926481<222>

24360761619243715898782473403943<32>

18530237932119650529360745686836790107779908108721642177458067886626682205385687642421599056344174425364595855682349842219440195561276441971101821733109307596420313131217418470662164711676167<191>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2659715377
Step 1 took 11466ms
Step 2 took 6536ms
********** Factor found in step 2: 24360761619243715898782473403943
Found probable prime factor of 32 digits: 24360761619243715898782473403943
Composite cofactor 18530237932119650529360745686836790107779908108721642177458067886626682205385687642421599056344174425364595855682349842219440195561276441971101821733109307596420313131217418470662164711676167 has 191 digits

GMP-ECM 6.3