100439364287797115559198333140766663985000303404901034584222277865427662296609088955539445318007939959959632657299956316919479<126>

7705207815128361758535915747767663<34>
13035257023255755892253709177324288688206891999314832662653855898078395052424282312810258233<92>

Number: test
N=100439364287797115559198333140766663985000303404901034584222277865427662296609088955539445318007939959959632657299956316919479
  ( 126 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=7705207815128361758535915747767663 (pp34)
 r2=13035257023255755892253709177324288688206891999314832662653855898078395052424282312810258233 (pp92)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 64.35 hours.
Scaled time: 56.11 units (timescale=0.872).
Factorization parameters were as follows:
n: 100439364287797115559198333140766663985000303404901034584222277865427662296609088955539445318007939959959632657299956316919479
m: 100000000000000000000000000000000
c5: 1
c0: 71
skew: 2.35
type: snfsFactor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3800001)
Primes: RFBsize:283146, AFBsize:283453, largePrimes:5686050 encountered
Relations: rels:5720090, finalFF:636577
Max relations in full relation-set: 0
Initial matrix: 566663 x 636577 with sparse part having weight 38066033.
Pruned matrix : 514471 x 517368 with weight 28552678.
Total sieving time: 51.02 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 12.62 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 64.35 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

3.2 Ghz P4, 1024 ram, cygwin, windows XP

1872590018170913600366772304304121841458097175167099440399150522128818251133408166221876789031838225191954311628349902030957910265859<133>

28129977390358023629213634794275869491272177939<47>
66569197414739914752363340066606515578290318079885508716380491999752942375601583635281<86>

Number: 11119_164
N=1872590018170913600366772304304121841458097175167099440399150522128818251133408166221876789031838225191954311628349902030957910265859
  ( 133 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=28129977390358023629213634794275869491272177939 (pp47)
 r2=66569197414739914752363340066606515578290318079885508716380491999752942375601583635281 (pp86)
Version: GGNFS-0.77.1-20060722-k8
Total time: 107.01 hours.
Scaled time: 215.94 units (timescale=2.018).
Factorization parameters were as follows:
n: 1872590018170913600366772304304121841458097175167099440399150522128818251133408166221876789031838225191954311628349902030957910265859
m: 1000000000000000000000000000000000
c5: 1
c0: 710
skew: 3.72
type: snfs

Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 6000001)
Primes: RFBsize:348513, AFBsize:349267, largePrimes:5903324 encountered
Relations: rels:6042140, finalFF:784177
Max relations in full relation-set: 32
Initial matrix: 697844 x 784177 with sparse part having weight 53680249.
Pruned matrix : 633863 x 637416 with weight 40023983.
Total sieving time: 99.60 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 7.19 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 107.01 hours.
 --------- CPU info (if available) ----------

434197386131735486952368546741348617081325170422474056706178628804654595979332204420129390821067257175111805826928921887890234900785897268898441231383787069601841<162>

2941450565776713211063703481417686180142901689698887<52>
444247718689605355281288325170529968377748965603234359<54>
332277125209997397567433286536766521100002249200099342577<57>

Number: n
N=434197386131735486952368546741348617081325170422474056706178628804654595979332204420129390821067257175111805826928921887890234900785897268898441231383787069601841
  ( 162 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=2941450565776713211063703481417686180142901689698887 (pp52)
 r2=444247718689605355281288325170529968377748965603234359 (pp54)
 r3=332277125209997397567433286536766521100002249200099342577 (pp57)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 71.23 hours.
Scaled time: 84.90 units (timescale=1.192).
Factorization parameters were as follows:
name: KA_1_165_9
n: 434197386131735486952368546741348617081325170422474056706178628804654595979332204420129390821067257175111805826928921887890234900785897268898441231383787069601841
type: snfs
skew: 1.48
deg: 5
c5: 10
c0: 71
m: 1000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2500001)
Primes: RFBsize:348513, AFBsize:347947, largePrimes:7816338 encountered
Relations: rels:7510687, finalFF:820417
Max relations in full relation-set: 28
Initial matrix: 696526 x 820417 with sparse part having weight 42457592.
Pruned matrix : 578274 x 581820 with weight 24476107.
Total sieving time: 63.39 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 7.07 hours.
Total square root time: 0.43 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000
total time: 71.23 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

124843945068664169787765293383270911360799001248439450686641697877652933832709113607990012484394506866416978776529338327091136079900124843945068664169787765293383271<165>

91311343163343446323968739512561574329110904059483452421063<59>
1367233694562301051553984933575756012125192786758201704704070474144368666604173622117402417959850492600417<106>

Number: n
N=124843945068664169787765293383270911360799001248439450686641697877652933832709113607990012484394506866416978776529338327091136079900124843945068664169787765293383271
  ( 165 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=91311343163343446323968739512561574329110904059483452421063 (pp59)
 r2=1367233694562301051553984933575756012125192786758201704704070474144368666604173622117402417959850492600417 (pp106)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 108.25 hours.
Scaled time: 147.65 units (timescale=1.364).
Factorization parameters were as follows:
name: KA_1_166_9
n: 124843945068664169787765293383270911360799001248439450686641697877652933832709113607990012484394506866416978776529338327091136079900124843945068664169787765293383271
skew: 0.93
deg: 5
c5: 100
c0: 71
m: 1000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 4500001)
Primes: RFBsize:348513, AFBsize:350387, largePrimes:7881774 encountered
Relations: rels:7565246, finalFF:794688
Max relations in full relation-set: 28
Initial matrix: 698964 x 794688 with sparse part having weight 43936217.
Pruned matrix : 616009 x 619567 with weight 29724900.
Total sieving time: 98.17 hours.
Total relation processing time: 0.59 hours.
Matrix solve time: 8.69 hours.
Total square root time: 0.80 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000
total time: 108.25 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

4896546354559178996140354102442220159529990569466487676403385572974008116436611422680942354556609657246123689866555093038830658609501137723946277729<148>

58256274272138916126619839433275911718637<41>
84051828163356372247625226617883687184833701501969291495680461061656160491744043801648027577705796315595717<107>

Number: 11119_169
N=4896546354559178996140354102442220159529990569466487676403385572974008116436611422680942354556609657246123689866555093038830658609501137723946277729
  ( 148 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=58256274272138916126619839433275911718637 (pp41)
 r2=84051828163356372247625226617883687184833701501969291495680461061656160491744043801648027577705796315595717 (pp107)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 168.68 hours.
Scaled time: 339.73 units (timescale=2.014).
Factorization parameters were as follows:
n: 4896546354559178996140354102442220159529990569466487676403385572974008116436611422680942354556609657246123689866555093038830658609501137723946277729
m: 10000000000000000000000000000000000
c5: 1
c0: 710
skew: 3.72
type: snfsFactor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 8700001)
Primes: RFBsize:412849, AFBsize:413722, largePrimes:6522753 encountered
Relations: rels:7031474, finalFF:1142419
Max relations in full relation-set: 32
Initial matrix: 826635 x 1142419 with sparse part having weight 87304407.
Pruned matrix : 574125 x 578322 with weight 74347583.
Total sieving time: 165.14 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.27 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 168.68 hours.
 --------- CPU info (if available) ----------

2069034095320722195548923215079703378937455489202419208172765615328926241741952336155268048786153404925113396948730329019618997<127>

1147968296263409095588135283290648861826345355194536694219<58>
1802344282551482866164093574575264853010705594176792033320430112532863<70>

N=2069034095320722195548923215079703378937455489202419208172765615328926241741952336155268048786153404925113396948730329019618997
  ( 127 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1147968296263409095588135283290648861826345355194536694219 (pp58)
 r2=1802344282551482866164093574575264853010705594176792033320430112532863 (pp70)
Version: Msieve-1.39
Total time: 24.46 hours.
Scaled time: 52.05 units (timescale=2.128).
Factorization parameters were as follows:
n: 2069034095320722195548923215079703378937455489202419208172765615328926241741952336155268048786153404925113396948730329019618997
m: 10000000000000000000000000000000000
deg: 5
c5: 10
c0: 71
skew: 1.48
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.4
alambda: 2.4

Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [2500000, 4500001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 999891 x 1000139
Total sieving time: 23.06 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.16 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,30,30,59,59,2.4,2.4,200000
total time: 24.46 hours.
 --------- CPU info (if available) ----------
[    0.148007] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.240015] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.335125] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.432094] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197992k/10485760k available (2226k kernel code, 189844k reserved, 1082k data, 392k init)
[    0.083917] Calibrating delay using timer specific routine.. 5503.93 BogoMIPS (lpj=11007873)
[    0.160010] Calibrating delay using timer specific routine.. 5499.97 BogoMIPS (lpj=10999957)
[    0.252015] Calibrating delay using timer specific routine.. 5500.01 BogoMIPS (lpj=11000021)
[    0.351657] Calibrating delay using timer specific routine.. 5499.99 BogoMIPS (lpj=10999983)
[    0.436823] Total of 4 processors activated (22003.91 BogoMIPS).

146090951787874385048852754411379260684793096516574331136849357092615684281027226871732949756874538890825895635152205583817<123>

187679214118451681266132692899356843<36>
9195777497317241672839400152874797906417<40>
84648387182546183617852698023055943681186500107<47>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 146090951787874385048852754411379260684793096516574331136849357092615684281027226871732949756874538890825895635152205583817 (123 digits)
Using B1=1842000, B2=2004650826, polynomial Dickson(6), sigma=3414854248
Step 1 took 15034ms
Step 2 took 7874ms
********** Factor found in step 2: 187679214118451681266132692899356843
Found probable prime factor of 36 digits: 187679214118451681266132692899356843
Composite cofactor 778407734037455422429228077590935183210812005333570194062928500962934026668127146486619 has 87 digits


Mon Feb 11 00:23:00 2008  
Mon Feb 11 00:23:00 2008  
Mon Feb 11 00:23:00 2008  Msieve v. 1.33
Mon Feb 11 00:23:00 2008  random seeds: d235dbe0 f6ed08c8
Mon Feb 11 00:23:00 2008  factoring 778407734037455422429228077590935183210812005333570194062928500962934026668127146486619 (87 digits)
Mon Feb 11 00:23:01 2008  searching for 15-digit factors
Mon Feb 11 00:23:01 2008  commencing quadratic sieve (87-digit input)
Mon Feb 11 00:23:02 2008  using multiplier of 11
Mon Feb 11 00:23:02 2008  using 64kb Opteron sieve core
Mon Feb 11 00:23:02 2008  sieve interval: 11 blocks of size 65536
Mon Feb 11 00:23:02 2008  processing polynomials in batches of 10
Mon Feb 11 00:23:02 2008  using a sieve bound of 1496111 (57000 primes)
Mon Feb 11 00:23:02 2008  using large prime bound of 119688880 (26 bits)
Mon Feb 11 00:23:02 2008  using double large prime bound of 347133658664000 (42-49 bits)
Mon Feb 11 00:23:02 2008  using trial factoring cutoff of 49 bits
Mon Feb 11 00:23:02 2008  polynomial 'A' values have 11 factors
Mon Feb 11 00:56:38 2008  57292 relations (15871 full + 41421 combined from 598720 partial), need 57096
Mon Feb 11 00:56:39 2008  begin with 614590 relations
Mon Feb 11 00:56:39 2008  reduce to 137033 relations in 9 passes
Mon Feb 11 00:56:39 2008  attempting to read 137033 relations
Mon Feb 11 00:56:40 2008  recovered 137033 relations
Mon Feb 11 00:56:40 2008  recovered 114924 polynomials
Mon Feb 11 00:56:41 2008  attempting to build 57291 cycles
Mon Feb 11 00:56:41 2008  found 57291 cycles in 5 passes
Mon Feb 11 00:56:41 2008  distribution of cycle lengths:
Mon Feb 11 00:56:41 2008     length 1 : 15871
Mon Feb 11 00:56:41 2008     length 2 : 11287
Mon Feb 11 00:56:41 2008     length 3 : 10175
Mon Feb 11 00:56:41 2008     length 4 : 7666
Mon Feb 11 00:56:41 2008     length 5 : 5149
Mon Feb 11 00:56:41 2008     length 6 : 3093
Mon Feb 11 00:56:41 2008     length 7 : 1872
Mon Feb 11 00:56:41 2008     length 9+: 2178
Mon Feb 11 00:56:41 2008  largest cycle: 17 relations
Mon Feb 11 00:56:41 2008  matrix is 57000 x 57291 (13.5 MB) with weight 3313829 (57.84/col)
Mon Feb 11 00:56:41 2008  sparse part has weight 3313829 (57.84/col)
Mon Feb 11 00:56:42 2008  filtering completed in 3 passes
Mon Feb 11 00:56:42 2008  matrix is 52630 x 52693 (12.5 MB) with weight 3072267 (58.31/col)
Mon Feb 11 00:56:42 2008  sparse part has weight 3072267 (58.31/col)
Mon Feb 11 00:56:42 2008  saving the first 48 matrix rows for later
Mon Feb 11 00:56:42 2008  matrix is 52582 x 52693 (8.7 MB) with weight 2478546 (47.04/col)
Mon Feb 11 00:56:42 2008  sparse part has weight 1956763 (37.14/col)
Mon Feb 11 00:56:42 2008  matrix includes 64 packed rows
Mon Feb 11 00:56:42 2008  using block size 21077 for processor cache size 1024 kB
Mon Feb 11 00:56:42 2008  commencing Lanczos iteration
Mon Feb 11 00:56:42 2008  memory use: 8.1 MB
Mon Feb 11 00:56:58 2008  lanczos halted after 833 iterations (dim = 52578)
Mon Feb 11 00:56:58 2008  recovered 14 nontrivial dependencies
Mon Feb 11 00:56:58 2008  prp40 factor: 9195777497317241672839400152874797906417
Mon Feb 11 00:56:58 2008  prp47 factor: 84648387182546183617852698023055943681186500107
Mon Feb 11 00:56:58 2008  elapsed time 00:33:58

2319430638357828921998508678903077285323402390226534929401934545728113199761595249016895389181263589499705073841538046643611119192592589514078796645212522186402647<163>

2173112767688437362501101815333453238567433685333567062802253<61>
1067331006860279689627341056293413815608757023752027794496897980909459261687638030288654138147683093299<103>

N=2319430638357828921998508678903077285323402390226534929401934545728113199761595249016895389181263589499705073841538046643611119192592589514078796645212522186402647
  ( 163 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=2173112767688437362501101815333453238567433685333567062802253 (pp61)
 r2=1067331006860279689627341056293413815608757023752027794496897980909459261687638030288654138147683093299 (pp103)
Version: Msieve v. 1.46
Total time:
Scaled time: 20.22 units (timescale=1.131).
Factorization parameters were as follows:
n: 2319430638357828921998508678903077285323402390226534929401934545728113199761595249016895389181263589499705073841538046643611119192592589514078796645212522186402647
m: 100000000000000000000000000000000000
deg: 5
c5: 10
c0: 71
skew: 1.48
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 6200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1118011 x 1118246
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time:

2943980102233072919873118911276039716320516354582996972581102801500626989958256238613931236811274720919143892867978077349280209830474831331618856887125636340983<160>

927736844479910019572538015615613162511<39>

3173292210770685089761054051533028741136552960492645247732818191552547032378590963394494362238523066270921588936976588953<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=728391580
Step 1 took 21009ms
Step 2 took 8262ms
********** Factor found in step 2: 927736844479910019572538015615613162511
Found probable prime factor of 39 digits: 927736844479910019572538015615613162511
Composite cofactor 3173292210770685089761054051533028741136552960492645247732818191552547032378590963394494362238523066270921588936976588953 has 121 digits

GMP-ECM 6.3

3173292210770685089761054051533028741136552960492645247732818191552547032378590963394494362238523066270921588936976588953<121>

529509081833506262297778318864119452998197<42>
5992894776766953622905198032708968147677941633618286219365711412093768232900949<79>

N = 3173292210770685089761054051533028741136552960492645247732818191552547032378590963394494362238523066270921588936976588953 (121 digits)
Divisors found:
r1=529509081833506262297778318864119452998197 (pp42)
r2=5992894776766953622905198032708968147677941633618286219365711412093768232900949 (pp79)
Version: Msieve v. 1.48
Total time: 15.32 hours.
Factorization parameters were as follows:
n: 3173292210770685089761054051533028741136552960492645247732818191552547032378590963394494362238523066270921588936976588953
Y0: -223518530533793412227214
Y1: 7096895396689
c0: -215156714482605099743500030745
c1: 1705015680651800674703233
c2: 90301651567040383467
c3: -594631370350165
c4: -7090709206
c5: 5688
skew: 128599.40 
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10668876
Relations: 1212114 relations
Pruned matrix : 705647 x 705880
Polynomial selection time: 0.00 hours.
Total sieving time: 14.64 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.60 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 15.32 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

2585223173343234245775462523066950302573967293798588247128302932805547936605145128535152416612936808647481568373457940949426395589089766628617400998195937363<157>

139009693666281652894183240958651<33>

18597430906865661818011785574427626346191679646350270691164051519997549960006186023274317236345822058601900309848483518339913<125>

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1698632946
Step 1 took 2028ms
Step 2 took 1731ms
********** Factor found in step 2: 139009693666281652894183240958651
Found probable prime factor of 33 digits: 139009693666281652894183240958651
Composite cofactor 18597430906865661818011785574427626346191679646350270691164051519997549960006186023274317236345822058601900309848483518339913 has 125 digits

GMP-ECM 6.2.3

18597430906865661818011785574427626346191679646350270691164051519997549960006186023274317236345822058601900309848483518339913<125>

72328395015470004749588596555511014964188174533489269<53>
257124894073592238365801548125480807654935312403237839303111348684079877<72>

Number: 11119_178
N=18597430906865661818011785574427626346191679646350270691164051519997549960006186023274317236345822058601900309848483518339913
  ( 125 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=72328395015470004749588596555511014964188174533489269 (pp53)
 r2=257124894073592238365801548125480807654935312403237839303111348684079877 (pp72)
Version: Msieve-1.40
Total time: 137.05 hours.
Scaled time: 387.02 units (timescale=2.824).
Factorization parameters were as follows:
name: 11119_178
n: 18597430906865661818011785574427626346191679646350270691164051519997549960006186023274317236345822058601900309848483518339913
m: 100000000000000000000000000000000000
deg: 5
c5: 1000
c0: 71
skew: 0.59
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 7950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1314962 x 1315210
Total sieving time: 132.80 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.89 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 137.05 hours.
 --------- CPU info (if available) ----------

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

1679655468607621721991622154551885402806533022303409245104185450719565742097648958717415511161217486545435460473818370679440714209715530546103064797<148>

4143193522415477188563341235959307229<37>

405401162055395487013057495721819159990858353044689573107605414437046900942925354304710567314331293692915982593<111>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=752176378
Step 1 took 323078ms
Step 2 took 173801ms
********** Factor found in step 2: 4143193522415477188563341235959307229
Found probable prime factor of 37 digits: 4143193522415477188563341235959307229
Composite cofactor 405401162055395487013057495721819159990858353044689573107605414437046900942925354304710567314331293692915982593 has 111 digits

GMP-ECM 6.2.3

405401162055395487013057495721819159990858353044689573107605414437046900942925354304710567314331293692915982593<111>

1102900316102921440943136786863217464829765586669<49>
367577337803178123079177953031421597484491048914705636419175397<63>

N=405401162055395487013057495721819159990858353044689573107605414437046900942925354304710567314331293692915982593
  ( 111 digits)
Divisors found:
 r1=1102900316102921440943136786863217464829765586669 (pp49)
 r2=367577337803178123079177953031421597484491048914705636419175397 (pp63)
Version: Msieve-1.40
Total time: 15.47 hours.
Scaled time: 28.55 units (timescale=1.845).
Factorization parameters were as follows:
n: 405401162055395487013057495721819159990858353044689573107605414437046900942925354304710567314331293692915982593
skew: 33956.04
# norm 1.95e+015
c5: 11340
c4: 2304404742
c3: -28498597892738
c2: -1124686329897913922
c1: 7147984329327025175783
c0: -106330842986177954756260660
# alpha -6.18
Y1: 30689331739
Y0: -2044815469502890391697
# Murphy_E 9.43e-010
# M 138913779963189917074170996625697361999717355322232583218276197124883818848515043634587437219534935805099377969
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 442188 x 442415
Polynomial selection time: 1.61 hours.
Total sieving time: 12.94 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 15.47 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

192690039774492429924649532527164937337149048516607076381189614994124020793681546201682521665499446239744864033109209992330853312044181314629263<144>

1226535304270133824209889298575081<34>
9646827652244259591998878269506813<34>
16285259880623894915342400241019541187822058715291361864722782960855927435971<77>

#ECM, then gnfs/Msieve
#
Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=3029909724
Step 1 took 70033ms
Step 2 took 4611ms
********** Factor found in step 2: 9646827652244259591998878269506813
Found probable prime factor of 34 digits: 9646827652244259591998878269506813
Composite cofactor 19974446182799232189458363156421231710407036132090260102835765147805964274317792564316416219690880744163638651 has 110 digits

Number: 11119_180
N=19974446182799232189458363156421231710407036132090260102835765147805964274317792564316416219690880744163638651
  ( 110 digits)
Divisors found:
 r1=1226535304270133824209889298575081
 r2=16285259880623894915342400241019541187822058715291361864722782960855927435971
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.718).
Factorization parameters were as follows:
name: 11119_180
n: 19974446182799232189458363156421231710407036132090260102835765147805964274317792564316416219690880744163638651
skew: 33063.44
# norm 4.01e+15
c5: 22800
c4: 3094334570
c3: -43841089883993
c2: 652837658814255144
c1: -1748227893997554020746
c0: -332389422893059106735269160
# alpha -6.55
Y1: 199871801533
Y0: -973880254752302195949
# Murphy_E 1.01e-09
# M 3541451005798240763734180262500322055167427459870109414796898368049994906448361437203335532088229954682971890
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 3000001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 400903 x 401151
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000

total time: 10.1 hours.

GMP-ECM 6.2.1+pol51+Msieve 1.36

Opteron-2.6GHz; Linux x86_64

793037527112035774557410039825808721287808957452734895889431921869522725022348748267123185464462814100596955381314708579376761407255347244536310241213843593<156>

2226645130862170284371270718273456258759499<43>
17528519279726652387772859666354559112917170113143562381<56>
20318774052649008212532357210444072120018083355947384411047<59>

Number: 11119_183
N = 793037527112035774557410039825808721287808957452734895889431921869522725022348748267123185464462814100596955381314708579376761407255347244536310241213843593 (156 digits)
SNFS difficulty: 184 digits.
Divisors found:
r1=2226645130862170284371270718273456258759499 (pp43)
r2=17528519279726652387772859666354559112917170113143562381 (pp56)
r3=20318774052649008212532357210444072120018083355947384411047 (pp59)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 138.38 hours.
Factorization parameters were as follows:
n: 793037527112035774557410039825808721287808957452734895889431921869522725022348748267123185464462814100596955381314708579376761407255347244536310241213843593
m: 1000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 71
skew: 0.59
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3950000, 10950000)
Relations: 19007855
Relations in full relation-set: 2481966 relations
Pruned matrix : 1524508 x 1524739
Polynomial selection time: 0.00 hours.
Total sieving time: 135.47 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.58 hours.
time per square root: 0.22 hours.

GGNFS, Msieve

31658903545270983260184819777026748092022275197477573462076601745092058911273351511873403764578840401126475142012020986032360051420743251411<140>

9343168720031962523222369884197334253<37>

3388454655366929914498505057165802657142065274822407340167831244985945664751645516070076150034794173887<103>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=783025530
Step 1 took 20104ms
Step 2 took 16430ms
********** Factor found in step 2: 9343168720031962523222369884197334253
Found probable prime factor of 37 digits: 9343168720031962523222369884197334253
Composite cofactor 3388454655366929914498505057165802657142065274822407340167831244985945664751645516070076150034794173887 has 103 digits

GMP-ECM 6.2.1

3388454655366929914498505057165802657142065274822407340167831244985945664751645516070076150034794173887<103>

1586931314118813407557567732512708559877<40>
2135224521200188890616493683567821754642212756737532735710790131<64>

Number: 11119_184
N=3388454655366929914498505057165802657142065274822407340167831244985945664751645516070076150034794173887
  ( 103 digits)
Divisors found:
 r1=1586931314118813407557567732512708559877
 r2=2135224521200188890616493683567821754642212756737532735710790131
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
name: 11119_184
n: 3388454655366929914498505057165802657142065274822407340167831244985945664751645516070076150034794173887
skew: 31960.24
# norm 9.10e+13
c5: 480
c4: -138581412
c3: -2970890933000
c2: 125334112112828449
c1: 728602337992886243758
c0: -14786800388206937397895095
# alpha -5.22
Y1: 7082309663
Y0: -93272580525981859492
# Murphy_E 2.34e-09
# M 3088295724384864144699871818544359448147530931965530510173465076385594779988601548584947108074515787463
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 273090 x 273338
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000

total time: 5.90 hours.

Msieve-1.36

Opteron-2.6GHz; Linux x86_64

2168965444693224780950757326819496309830640671182018929429022015649953269639494084472094415933393673952004698846739383402165451720672821756805617099950048725808715033294704058763347<181>

118556060853532355684657119016905151082226412154225341230741<60>
18294850799511873801677071498271275076680523886468931501062534084271591363969148990966231170862572128613900878977069885767<122>

Number: n
N=2168965444693224780950757326819496309830640671182018929429022015649953269639494084472094415933393673952004698846739383402165451720672821756805617099950048725808715033294704058763347
  ( 181 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon Oct 06 07:01:53 2008  prp60 factor: 118556060853532355684657119016905151082226412154225341230741
Mon Oct 06 07:01:53 2008  prp122 factor: 18294850799511873801677071498271275076680523886468931501062534084271591363969148990966231170862572128613900878977069885767
Mon Oct 06 07:01:53 2008  elapsed time 13:58:33 (Msieve 1.38)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 70.75 hours.
Scaled time: 91.41 units (timescale=1.292).
Factorization parameters were as follows:
name: KA_1_186_9
n: 2168965444693224780950757326819496309830640671182018929429022015649953269639494084472094415933393673952004698846739383402165451720672821756805617099950048725808715033294704058763347
type: snfs
skew: 0.93
deg: 5
c5: 100
c0: 71
m: 10000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 6100001)
Primes: RFBsize:602489, AFBsize:603001, largePrimes:14684678 encountered
Relations: rels:14609629, finalFF:1302685
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 70.18 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,52,52,2.5,2.5,100000
total time: 70.75 hours.
 --------- CPU info (if available) ----------

7329409903745952992084893903350364025787807645854872310863630362852323772777898800863278464171717822637194542813767588197313766950865287293413393370999907098692138636368660597<175>

77117398087105878766860647707673<32>

95042235417061342709137038769115156978823101279373950507224840278843986985720234251760664055691722544383397021632330291947586450809724093964989<143>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=285739272
Step 1 took 5633ms
Step 2 took 3514ms
********** Factor found in step 2: 77117398087105878766860647707673
Found probable prime factor of 32 digits: 77117398087105878766860647707673
Composite cofactor has 143 digits

GMP-ECM 6.2.1

95042235417061342709137038769115156978823101279373950507224840278843986985720234251760664055691722544383397021632330291947586450809724093964989<143>

924085449066389867156989846449713172673656158842322716163169051743957<69>
102850050840085397229076071394458704711494018170225690889659896333635067977<75>

Number: 11119_188
N = 95042235417061342709137038769115156978823101279373950507224840278843986985720234251760664055691722544383397021632330291947586450809724093964989 (143 digits)
SNFS difficulty: 189 digits.
Divisors found:
r1=924085449066389867156989846449713172673656158842322716163169051743957 (pp69)
r2=102850050840085397229076071394458704711494018170225690889659896333635067977 (pp75)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 205.78 hours.
Factorization parameters were as follows:
n: 95042235417061342709137038769115156978823101279373950507224840278843986985720234251760664055691722544383397021632330291947586450809724093964989
m: 10000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 71
skew: 0.59
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [4750000, 14950000)
Relations: 22083714
Relations in full relation-set: 3399724 relations
Pruned matrix : 2055261 x 2055488
Polynomial selection time: 0.00 hours.
Total sieving time: 201.96 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.41 hours.
time per square root: 0.29 hours.

GGNFS, Msieve

30401311860238732083104014223884641836414479248401629147603737253903389638065027314479546994193845310492154526086140792814039191637828220126309511780712749062800997317966261594933<179>

1185276588935071963841099603868359183388846649536452273609<58>
25649128772173934875101136404919550987621331828478162595117577313820102507749044200152910213226579901221653980822513434637<122>

Number: 4
N=30401311860238732083104014223884641836414479248401629147603737253903389638065027314479546994193845310492154526086140792814039191637828220126309511780712749062800997317966261594933
  ( 179 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=1185276588935071963841099603868359183388846649536452273609 (pp58)
 r2=25649128772173934875101136404919550987621331828478162595117577313820102507749044200152910213226579901221653980822513434637 (pp122)
Version: Msieve-1.40
Total time: 327.60 hours.
Scaled time: 569.69 units (timescale=1.739).
Factorization parameters were as follows:
n: 30401311860238732083104014223884641836414479248401629147603737253903389638065027314479546994193845310492154526086140792814039191637828220126309511780712749062800997317966261594933
m: 10000000000000000000000000000000000000
deg: 5
c5: 10000
c0: 71
skew: 0.37
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4950000, 10250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2027913 x 2028138
Total sieving time: 319.56 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 6.78 hours.
Time per square root: 1.02 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 327.60 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

481509536157157846687573679628626184451407277308556047171707679710808125914428945299129159679709131959771707888809585049660629129007638882227907567802704625912279<162>

47123867531665499338457364519755709007708342952393<50>
10217954539355268622237595338573845788226415384625659914539943871983957019116121723136510206479421977119407660703<113>

Number: 11119_190
N = 481509536157157846687573679628626184451407277308556047171707679710808125914428945299129159679709131959771707888809585049660629129007638882227907567802704625912279 (162 digits)
SNFS difficulty: 191 digits.
Divisors found:
r1=47123867531665499338457364519755709007708342952393 (pp50)
r2=10217954539355268622237595338573845788226415384625659914539943871983957019116121723136510206479421977119407660703 (pp113)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 217.67 hours.
Factorization parameters were as follows:
n: 481509536157157846687573679628626184451407277308556047171707679710808125914428945299129159679709131959771707888809585049660629129007638882227907567802704625912279
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: 71
skew: 2.35
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [5150000, 15550000)
Relations: 22117863
Relations in full relation-set: 3606780 relations
Pruned matrix : 2172772 x 2173001
Polynomial selection time: 0.00 hours.
Total sieving time: 212.17 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 5.20 hours.
time per square root: 0.18 hours.

GGNFS, Msieve

1571333207252603607623180770312392839643810899619806154047047219849287744437473949391185396725542540599883533241062496545850634597945464481840240508698258471<157>

29464661173081220635451979304874733589939351061659<50>
53329417162555611596917185171432932978561425111229392114303206385921183497733590109899779907386086931956069<107>

Number: 11119_191
N = 1571333207252603607623180770312392839643810899619806154047047219849287744437473949391185396725542540599883533241062496545850634597945464481840240508698258471 (157 digits)
SNFS difficulty: 192 digits.
Divisors found:
r1=29464661173081220635451979304874733589939351061659 (pp50)
r2=53329417162555611596917185171432932978561425111229392114303206385921183497733590109899779907386086931956069 (pp107)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 216.42 hours.
Factorization parameters were as follows:
n: 1571333207252603607623180770312392839643810899619806154047047219849287744437473949391185396725542540599883533241062496545850634597945464481840240508698258471
m: 100000000000000000000000000000000000000
deg: 5
c5: 10
c0: 71
skew: 1.48
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [5350000, 15450000)
Relations: 21992365
Relations in full relation-set: 3529532 relations
Pruned matrix : 2138886 x 2139113
Polynomial selection time: 0.00 hours.
Total sieving time: 211.20 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 5.04 hours.
time per square root: 0.08 hours.

GGNFS, Msieve

489241024496907354315699990163522497568807868639472158427158410636880445374402685926600142762794996201973895068523081010022271307068961<135>

282580691425426158974458648292787030517788601603099<51>
1731332109172149293107377987636962117607883270170188740519283990545604431912755341939<85>

Number: 11119_193
N = 489241024496907354315699990163522497568807868639472158427158410636880445374402685926600142762794996201973895068523081010022271307068961 (135 digits)
Divisors found:
r1=282580691425426158974458648292787030517788601603099 (pp51)
r2=1731332109172149293107377987636962117607883270170188740519283990545604431912755341939 (pp85)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 208.75 hours.
Factorization parameters were as follows:
# Murphy_E = 4.407351e-11, selected by Jeff Gilchrist
n: 489241024496907354315699990163522497568807868639472158427158410636880445374402685926600142762794996201973895068523081010022271307068961
Y0: -95032253217668712025973218
Y1: 952981437474071
c0: -1583870051330964911784359128634595
c1: 9630335309103699344367650911
c2: -4804157391762369532926
c3: -54248772405774990
c4: 10785404612
c5: 63120
skew: 644731.19
type: gnfs
# selected mechanically
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6550000, 15150000)
Relations: 21107508
Relations in full relation-set: 2887182 relations
Pruned matrix : 1792810 x 1793039
Polynomial selection time: 0.00 hours.
Total sieving time: 204.92 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.57 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13100000,13100000,28,28,54,54,2.6,2.6,100000
total time: 208.75 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

24508128083609856106882937213433754990235080308233947248497274818116540519436837105107908460599060015366174127469342984467972328959407611243<140>

264574759772668784190115972657587037867349867680435219729573<60>
92632147165769080713358013248968444352250975247781093028691322124570823153603791<80>

Number: 11119_195
N = 24508128083609856106882937213433754990235080308233947248497274818116540519436837105107908460599060015366174127469342984467972328959407611243 (140 digits)
SNFS difficulty: 196 digits.
Divisors found:
r1=264574759772668784190115972657587037867349867680435219729573 (pp60)
r2=92632147165769080713358013248968444352250975247781093028691322124570823153603791 (pp80)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 354.92 hours.
Factorization parameters were as follows:
n: 24508128083609856106882937213433754990235080308233947248497274818116540519436837105107908460599060015366174127469342984467972328959407611243
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 71
skew: 2.35
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [6200000, 12400000)
Relations: 23645745
Relations in full relation-set: 3071324 relations
Pruned matrix : 1959844 x 1960069
Polynomial selection time: 0.00 hours.
Total sieving time: 350.81 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.50 hours.
time per square root: 0.37 hours.

GGNFS, Msieve

6548143626254776592260180890800064235691521596293806129513139458214920714792087937076200162610843974188829750776697948444993129323996589<136>

10069084871636180530120147336924416212569<41>
372936171880615158098090212029283260211837<42>
1743788007353172537521605567071655468363222761077697113<55>

Using B1=12544709, B2=35135015380, polynomial Dickson(12), sigma=1422801866
Step 1 took 329884ms
Step 2 took 118380ms
********** Factor found in step 2: 10069084871636180530120147336924416212569
Found probable prime factor of 41 digits: 

10069084871636180530120147336924416212569

Composite cofactor 650321624033618162630529141262230538914753339339825454307285714300235818288174060799644503326581 

Wed Apr 16 11:17:45 2008  recovered 15 nontrivial dependencies
Wed Apr 16 11:17:46 2008  prp42 factor: 372936171880615158098090212029283260211837
Wed Apr 16 11:17:46 2008  prp55 factor: 1743788007353172537521605567071655468363222761077697113

GMP-ECM 6.1.1 and msieve 1.34

Pentium M

1707261785010448898542931655293904776314770671755562750693160171208243512967130694350462705756368676588481618831929183853545308859467554174143920854544575560837699<163>

183822701812690013920456509097428552047503415222929564081038870758176069412273<78>
9287545924279249231864727533708641905567902794785099608403175097196601572591846336563<85>

Number: 11119_199
N = 1707261785010448898542931655293904776314770671755562750693160171208243512967130694350462705756368676588481618831929183853545308859467554174143920854544575560837699 (163 digits)
SNFS difficulty: 200 digits.
Divisors found:
r1=183822701812690013920456509097428552047503415222929564081038870758176069412273 (pp78)
r2=9287545924279249231864727533708641905567902794785099608403175097196601572591846336563 (pp85)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 527.07 hours.
Factorization parameters were as follows:
n: 1707261785010448898542931655293904776314770671755562750693160171208243512967130694350462705756368676588481618831929183853545308859467554174143920854544575560837699
m: 1000000000000000000000000000000000
deg: 6
c6: 10
c0: 71
skew: 1.39
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [7250000, 16550000)
Relations: 23811903
Relations in full relation-set: 4129164 relations
Pruned matrix : 2570600 x 2570827
Polynomial selection time: 0.00 hours.
Total sieving time: 521.05 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 5.74 hours.
time per square root: 0.14 hours.

GGNFS, Msieve

11987492841028974444069975881322827688459566087864658033800299423923567334917633398263313181119727174257429479650354010252402175687768873513840520705293<152>

1675905460745861893200398948591579<34>
7152845504599012138930434514420968842105770420002360692475169088489732626981503462904045166631310767228409819916320567<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=135965300
Step 1 took 20390ms
Step 2 took 16021ms
********** Factor found in step 2: 1675905460745861893200398948591579
Found probable prime factor of 34 digits: 1675905460745861893200398948591579
Probable prime cofactor 7152845504599012138930434514420968842105770420002360692475169088489732626981503462904045166631310767228409819916320567 has 118 digits

GMP-ECM 6.2.3

88818114949222815084588006263023698097763159876458150924189333782133362001579064481459906689938011042572491851075970616015115533896763240524067019538544453376233156116974661<173>

255479424186296396957205221254907052398607674896865573378188231<63>
347652713059414002942256717781870293816773104412793248386243006489263429687832565963995233313700473746133104531<111>

Number: n
N=88818114949222815084588006263023698097763159876458150924189333782133362001579064481459906689938011042572491851075970616015115533896763240524067019538544453376233156116974661  ( 173 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Jan  3 11:32:51 2024  prp63 factor: 255479424186296396957205221254907052398607674896865573378188231
Wed Jan  3 11:32:51 2024  prp111 factor: 347652713059414002942256717781870293816773104412793248386243006489263429687832565963995233313700473746133104531
Wed Jan  3 11:32:51 2024  elapsed time 02:42:52 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 10^206+71 = 1(205)9
#
n: 88818114949222815084588006263023698097763159876458150924189333782133362001579064481459906689938011042572491851075970616015115533896763240524067019538544453376233156116974661
m: 100000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 71
skew: 1.48
# Murphy_E = 1.02e-11
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3497478 hash collisions in 19809495 relations (16722691 unique)
Msieve: matrix is 2282690 x 2282915 (645.7 MB)

Sieving start time: 2024/01/02 14:36:57
Sieving end time  : 2024/01/03 08:49:35

Total sieving time: 18hrs 12min 38secs.

Total relation processing time: 2hrs 35min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19000000,19000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

41152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485597<206>

1424212276013430293581775966629861351619858209<46>
28894754010740974457435079826507899456733062066048853532932701004600404115488965469653959138755969174046697294413543398444838249979183629627071659169992144678333<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3210132610
Step 1 took 22431ms
Step 2 took 8627ms
********** Factor found in step 2: 1424212276013430293581775966629861351619858209
Found probable prime factor of 46 digits: 1424212276013430293581775966629861351619858209
Probable prime cofactor 28894754010740974457435079826507899456733062066048853532932701004600404115488965469653959138755969174046697294413543398444838249979183629627071659169992144678333 has 161 digits

GMP-ECM 6.3

2250226763269123339901332394146597655979660817107917963185774840220519036510233352285047343830781161506953748083469809312602372970089243163068463078878997407074539403354795127250467723<184>

130068458931989674125182307203750550026995708651334456864681587860138426658102959330584466522264663560371730452889269209062806026696030921955152655497167824340985390840761217851791933648437181941971517869<204>

452779641699314658124444494345340168056027249051378768811799<60>

287266579486289102608192322626292536379520030886118690992574820607769271942323061170761623433614082122631975491421314680966883802118271222867931<144>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 130068458931989674125182307203750550026995708651334456864681587860138426658102959330584466522264663560371730452889269209062806026696030921955152655497167824340985390840761217851791933648437181941971517869 (204 digits)
[Tue Dec 13 13:35:25 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1839417779
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 706825ms
Using 25 small primes for NTT
Estimated memory usage: 728M
Initializing tables of differences for F took 406ms
Computing roots of F took 20280ms
Building F from its roots took 10639ms
Computing 1/F took 4072ms
Initializing table of differences for G took 374ms
Computing roots of G took 17114ms
Building G from its roots took 10561ms
Computing roots of G took 17113ms
Building G from its roots took 10562ms
Computing G * H took 2262ms
Reducing  G * H mod F took 2231ms
Computing roots of G took 17097ms
Building G from its roots took 10530ms
Computing G * H took 2231ms
Reducing  G * H mod F took 2231ms
Computing roots of G took 17098ms
Building G from its roots took 10530ms
Computing G * H took 2215ms
Reducing  G * H mod F took 2231ms
Computing polyeval(F,G) took 23104ms
Computing product of all F(g_i) took 78ms
Step 2 took 183426ms
********** Factor found in step 2: 452779641699314658124444494345340168056027249051378768811799
Found probable prime factor of 60 digits: 452779641699314658124444494345340168056027249051378768811799
Composite cofactor 287266579486289102608192322626292536379520030886118690992574820607769271942323061170761623433614082122631975491421314680966883802118271222867931 has 144 digits

GMP-ECM

287266579486289102608192322626292536379520030886118690992574820607769271942323061170761623433614082122631975491421314680966883802118271222867931<144>

968504939488971662378069109390213434141522572626214151796521637477211<69>
296608275057290194447152493708127645376563332814094628186030529790096731521<75>

PID21943 2020-03-25 09:52:43,425 Debug:root: Root parameter dictionary:
N = 287266579486289102608192322626292536379520030886118690992574820607769271942323061170761623433614082122631975491421314680966883802118271222867931
name = 11119_210
tasks.I = 14
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.qmin = 200000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.target_density = 145.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 420
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.sieve.qrange = 5000
tasks.sieve.las.threads = 2
PID27627 2020-03-25 17:18:53,272 Info:Square Root: Factors: 296608275057290194447152493708127645376563332814094628186030529790096731521 968504939488971662378069109390213434141522572626214151796521637477211
PID27627 2020-03-25 17:18:53,272 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID27627 2020-03-25 17:18:53,273 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID27627 2020-03-25 17:18:53,273 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID27627 2020-03-25 17:18:53,273 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146540/42.090/52.250/58.390/1.234
PID27627 2020-03-25 17:18:53,273 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121540/41.770/46.130/52.500/0.962
PID27627 2020-03-25 17:18:53,273 Info:Polynomial Selection (size optimized): Total time: 62751.9
PID27627 2020-03-25 17:18:53,273 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID27627 2020-03-25 17:18:53,273 Info:Polynomial Selection (root optimized): Total time: 2018.39
PID27627 2020-03-25 17:18:53,273 Info:Polynomial Selection (root optimized): Rootsieve time: 2016.23
PID27627 2020-03-25 17:18:53,273 Info:Generate Factor Base: Total cpu/real time for makefb: 14.38/2.75866
PID27627 2020-03-25 17:18:53,273 Info:Generate Free Relations: Total cpu/real time for freerel: 338.71/58.2601
PID27627 2020-03-25 17:18:53,273 Info:Lattice Sieving: Aggregate statistics:
PID27627 2020-03-25 17:18:53,273 Info:Lattice Sieving: Total number of relations: 61541763
PID27627 2020-03-25 17:18:53,273 Info:Lattice Sieving: Average J: 7917.92 for 407258 special-q, max bucket fill -bkmult 1.0,1s:1.366090
PID27627 2020-03-25 17:18:53,273 Info:Lattice Sieving: Total time: 537767s
PID27627 2020-03-25 17:18:53,274 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.55/254.47
PID27627 2020-03-25 17:18:53,274 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID27627 2020-03-25 17:18:53,274 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 249.19999999999996s
PID27627 2020-03-25 17:18:53,274 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1040.24/728.047
PID27627 2020-03-25 17:18:53,274 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID27627 2020-03-25 17:18:53,274 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 582.8000000000001s
PID27627 2020-03-25 17:18:53,274 Info:Filtering - Singleton removal: Total cpu/real time for purge: 850.05/773.763
PID27627 2020-03-25 17:18:53,274 Info:Filtering - Merging: Total cpu/real time for merge: 187.84/42.7423
PID27627 2020-03-25 17:18:53,274 Info:Filtering - Merging: Total cpu/real time for replay: 64.21/63.6124
PID27627 2020-03-25 17:18:53,274 Info:Linear Algebra: Total cpu/real time for bwc: 52567/9155.5
PID27627 2020-03-25 17:18:53,274 Info:Linear Algebra: Aggregate statistics:
PID27627 2020-03-25 17:18:53,274 Info:Linear Algebra: Krylov: WCT time 5787.44, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (74240 iterations)
PID27627 2020-03-25 17:18:53,274 Info:Linear Algebra: Lingen CPU time 299.72, WCT time 56.26
PID27627 2020-03-25 17:18:53,274 Info:Linear Algebra: Mksol: WCT time 3177.18, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
PID27627 2020-03-25 17:18:53,274 Info:Quadratic Characters: Total cpu/real time for characters: 76.88/23.9942
PID27627 2020-03-25 17:18:53,274 Info:Square Root: Total cpu/real time for sqrt: 2100.31/382.381
PID27627 2020-03-25 17:18:53,274 Info:HTTP server: Shutting down HTTP server
PID27627 2020-03-25 17:18:53,487 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.00349e+06/26765

CADO-NFS

1986401791574901772695504184852144883459130676715669335547433565944618381932014713559157326516769760638453559605445785402830409281683317024043957895733172339118556669143647282749471<181>

3536759196216440644713476612722123<34>
561644624745704357536838448940336708160286254474690028476286237945284917739513864934139822013555453958236512743533221712775774246729579208114302077<147>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=594119067
Step 1 took 14089ms
Step 2 took 10152ms
********** Factor found in step 2: 3536759196216440644713476612722123
Found probable prime factor of 34 digits: 3536759196216440644713476612722123
Probable prime cofactor 561644624745... has 147 digits

147620319517058795805960097400850671315242214138110169205946885774522732221069427032124690611044496884256788872727855940527496948088719878451340538999751879062440615038841675054394762912382114529<195>

15873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017<212>

37376472310679042740141484606261<32>

424679347507086807467098434886680279804507397866339257594159310069179414984789237574640425220678935057500072028340857441231427313806431021912118401358106241115869925030837871903797<180>

Input number is 15873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017 (212 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1771859712
Step 1 took 16137ms
Step 2 took 11669ms
********** Factor found in step 2: 37376472310679042740141484606261
Found probable prime factor of 32 digits: 37376472310679042740141484606261
Composite cofactor 424679347507... has 180 digits

2449561609684676742600415946646909242966084684998094903654162130970164800873566990327763265931800056533566491603897819846515106103092473857218287111007745439565450424042584607706057356575966099004329<199>

391218942452775590281962921039277578056018056355709640038894972488936236597561199387956928672554681467494725486345695000435099839325900965059214074525237648193887114414499112107556771221241499219<195>

599797073425478537487299106365417<33>

652252169585456264962175288210833960703478226996221599347161731392442046825856352476090077674636491711073249947702383525029831704544068803913386109985607371698907<162>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=836474646
Step 1 took 16185ms
Step 2 took 340ms
********** Factor found in step 2: 599797073425478537487299106365417
Found probable prime factor of 33 digits: 599797073425478537487299106365417
Composite cofactor 652252169585... has 162 digits

652252169585456264962175288210833960703478226996221599347161731392442046825856352476090077674636491711073249947702383525029831704544068803913386109985607371698907<162>

168834871195530897490031923667258549887241<42>

3863255054875900233011626998604237621842299359000596538516997110022745853779944791554675518436471632244827724439216767427<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=953000685
Step 1 took 72893ms
Step 2 took 26377ms
********** Factor found in step 2: 168834871195530897490031923667258549887241
Found probable prime factor of 42 digits: 168834871195530897490031923667258549887241
Composite cofactor 3863255054875900233011626998604237621842299359000596538516997110022745853779944791554675518436471632244827724439216767427 has 121 digits

3863255054875900233011626998604237621842299359000596538516997110022745853779944791554675518436471632244827724439216767427<121>

26035514767219269087514222735810610992732692288666833383<56>
148384047306797934315526958134471875949873651793497732844695408069<66>

N = 3863255054875900233011626998604237621842299359000596538516997110022745853779944791554675518436471632244827724439216767427 (121 digits)
Divisors found:
r1=26035514767219269087514222735810610992732692288666833383 (pp56)
r2=148384047306797934315526958134471875949873651793497732844695408069 (pp66)
Version: Msieve v. 1.48
Total time: 14.27 hours.
Factorization parameters were as follows:
n: 3863255054875900233011626998604237621842299359000596538516997110022745853779944791554675518436471632244827724439216767427
Y0: -285074066398823000675186
Y1: 5171282081863
c0: -1980614427770675269613740914825
c1: -40881017956705246453960025
c2: 142382214209687830097
c3: 3163831067849013
c4: -3263257512
c5: 2052
skew: 246581.25 
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10436150
Relations: 1223030 relations
Pruned matrix : 702825 x 703052
Polynomial selection time: 0.00 hours.
Total sieving time: 13.47 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.58 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 14.27 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

3588400670974042702680837405464660540266389269005727836794465390573635642433026540041089934357245315252071761211898253220884617929306428555561<142>

470296432423820671981600835467961214387282228799477<51>
7630082695886274398176025501652063261904699914272663070646485163212807457378197836667934693<91>

# Murphy_E = 2.01586429e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 3588400670974042702680837405464660540266389269005727836794465390573635642433026540041089934357245315252071761211898253220884617929306428555561
Y0: -3951518283918039803675904937
Y1: 4944813883904086457
c0: 4154836225756427964694338997956720
c1: 84338193174923556177344446154
c2: -14212371709515276223669
c3: -56200227425000130
c4: 3755305958
c5: 3720
skew: 2057884.15124
type: gnfs

Msieve v. 1.53 (SVN unknown)
random seeds: 74cb40e8 4e5a775f
factoring 3588400670974042702680837405464660540266389269005727836794465390573635642433026540041089934357245315252071761211898253220884617929306428555561 (142 digits)
searching for 15-digit factors
commencing number field sieve (142-digit input)
R0: -3951518283918039803675904937
R1: 4944813883904086457
A0: 4154836225756427964694338997956720
A1: 84338193174923556177344446154
A2: -14212371709515276223669
A3: -56200227425000130
A4: 3755305958
A5: 3720
skew 2057884.15, size 1.331e-13, alpha -6.464, combined = 2.016e-11 rroots = 5

commencing relation filtering
estimated available RAM is 7934.2 MB
commencing duplicate removal, pass 1
error -5 reading relation 22436346
error -15 reading relation 22450487
error -15 reading relation 22464187
error -9 reading relation 22478105
error -9 reading relation 22492106
found 2719292 hash collisions in 23596443 relations
added 121245 free relations
commencing duplicate removal, pass 2
found 2123670 duplicates and 21594018 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 707.0 MB
keeping 22621172 ideals with weight <= 200, target excess is 129949
commencing in-memory singleton removal
begin with 21594018 relations and 22621172 unique ideals
reduce to 10085840 relations and 9393952 ideals in 21 passes
max relations containing the same ideal: 120
removing 1828540 relations and 1557966 ideals in 270574 cliques
commencing in-memory singleton removal
begin with 8257300 relations and 9393952 unique ideals
reduce to 7982259 relations and 7551307 ideals in 9 passes
max relations containing the same ideal: 102
removing 1401348 relations and 1130774 ideals in 270574 cliques
commencing in-memory singleton removal
begin with 6580911 relations and 7551307 unique ideals
reduce to 6371897 relations and 6204231 ideals in 10 passes
max relations containing the same ideal: 88
removing 150526 relations and 133601 ideals in 16925 cliques
commencing in-memory singleton removal
begin with 6221371 relations and 6204231 unique ideals
reduce to 6219048 relations and 6068300 ideals in 6 passes
max relations containing the same ideal: 86
relations with 0 large ideals: 453
relations with 1 large ideals: 972
relations with 2 large ideals: 16990
relations with 3 large ideals: 131594
relations with 4 large ideals: 530788
relations with 5 large ideals: 1241422
relations with 6 large ideals: 1758769
relations with 7+ large ideals: 2538060
commencing 2-way merge
reduce to 3679960 relation sets and 3529212 unique ideals
commencing full merge
memory use: 421.0 MB
found 1927772 cycles, need 1907412
weight of 1907412 cycles is about 133522273 (70.00/cycle)
distribution of cycle lengths:
1 relations: 254695
2 relations: 233936
3 relations: 235248
4 relations: 211035
5 relations: 185896
6 relations: 160442
7 relations: 137300
8 relations: 114802
9 relations: 93670
10+ relations: 280388
heaviest cycle: 20 relations
commencing cycle optimization
start with 10281249 relations
pruned 205527 relations
memory use: 356.7 MB
distribution of cycle lengths:
1 relations: 254695
2 relations: 239083
3 relations: 242530
4 relations: 215192
5 relations: 188904
6 relations: 161835
7 relations: 137742
8 relations: 113935
9 relations: 91989
10+ relations: 261507
heaviest cycle: 20 relations
RelProcTime: 972
elapsed time 00:16:13
LatSieveTime: 4391.62
Running matrix solving step ...

commencing linear algebra
read 1907412 cycles
cycles contain 6089805 unique relations
read 6089805 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 819.1 MB
read 1907412 cycles
matrix is 1907232 x 1907412 (579.6 MB) with weight 183819367 (96.37/col)
sparse part has weight 129040589 (67.65/col)
filtering completed in 2 passes
matrix is 1905192 x 1905370 (579.4 MB) with weight 183746611 (96.44/col)
sparse part has weight 129025028 (67.72/col)
matrix starts at (0, 0)
matrix is 1905192 x 1905370 (579.4 MB) with weight 183746611 (96.44/col)
sparse part has weight 129025028 (67.72/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 1905144 x 1905370 (562.9 MB) with weight 146158371 (76.71/col)
sparse part has weight 128507931 (67.45/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 443.1 MB
linear algebra at 0.1%, ETA 3h 7m
checkpointing every 610000 dimensions
lanczos halted after 30130 iterations (dim = 1905143)
recovered 30 nontrivial dependencies
BLanczosTime: 11962
elapsed time 03:19:24
Running square root step ...

commencing square root phase
reading relations for dependency 1
read 953578 cycles
cycles contain 3046114 unique relations
read 3046114 relations
multiplying 3046114 relations
multiply complete, coefficients have about 139.62 million bits
initial square root is modulo 102481
GCD is N, no factor found
reading relations for dependency 2
read 952119 cycles
cycles contain 3042444 unique relations
read 3042444 relations
multiplying 3042444 relations
multiply complete, coefficients have about 139.45 million bits
initial square root is modulo 101111
GCD is 1, no factor found
reading relations for dependency 3
read 953575 cycles
cycles contain 3046912 unique relations
read 3046912 relations
multiplying 3046912 relations
multiply complete, coefficients have about 139.65 million bits
initial square root is modulo 102793
GCD is N, no factor found
reading relations for dependency 4
read 953384 cycles
cycles contain 3047014 unique relations
read 3047014 relations
multiplying 3047014 relations
multiply complete, coefficients have about 139.66 million bits
initial square root is modulo 103091
GCD is N, no factor found
reading relations for dependency 5
read 952429 cycles
cycles contain 3046030 unique relations
read 3046030 relations
multiplying 3046030 relations
multiply complete, coefficients have about 139.61 million bits
initial square root is modulo 102481
sqrtTime: 2248
p51 factor: 470296432423820671981600835467961214387282228799477
p91 factor: 7630082695886274398176025501652063261904699914272663070646485163212807457378197836667934693
elapsed time 00:37:29
Computing 1.4852e+09 scale for this machine...
procrels -speedtest> PIPE
Factorization summary written to g142-c142_1.txt

Factorization parameters were as follows:
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23596449
Relations: 3046030 relations
Pruned matrix : 1905144 x 1905370
Polynomial selection time: 0.00 hours.
Total sieving time: 42.10 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 3.32 hours.
time per square root: 0.62 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,13600000,13600000,28,28,56,56,2.5,2.5,100000
total time: 46.32 hours.
AMD64 Family 16 Model 10 Stepping 0, AuthenticAMD
Windows-7-6.1.7601-SP1
processors: 6, speed: 3.21GHz

312602497327190213230486055695919352581273910729180048590076367940584621435824621845473926137342028910743346503700963694864421279567993897524509912401208814467628015221021526289397973598085008388372483<201>

5894720918780445350788926085029557<34>

53030924047862188394326178009597131641315257842013756788813519836043976921499800010185166562139850172319676426990844238455412005229600025598173682114838114006720853719<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3308363720
Step 1 took 27661ms
Step 2 took 9981ms
********** Factor found in step 2: 5894720918780445350788926085029557
Found probable prime factor of 34 digits: 5894720918780445350788926085029557
Composite cofactor 53030924047862188394326178009597131641315257842013756788813519836043976921499800010185166562139850172319676426990844238455412005229600025598173682114838114006720853719 has 167 digits

4946227081551064059268807252828863586985232691233659186327953475791456344376973166728399800942271032685979498020607779608665730075991<133>

9303803582115229351571724457103592348592399<43>
531634942407773211476885246811717636313387645885650180880297142151810407398390418280695609<90>

Number: 11119_218
N = 4946227081551064059268807252828863586985232691233659186327953475791456344376973166728399800942271032685979498020607779608665730075991 (133 digits)
Divisors found:
r1=9303803582115229351571724457103592348592399 (pp43)
r2=531634942407773211476885246811717636313387645885650180880297142151810407398390418280695609 (pp90)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 146.25 hours.
Factorization parameters were as follows:
# Murphy_E = 6.335e-11, selected by Erik Branger
n: 4946227081551064059268807252828863586985232691233659186327953475791456344376973166728399800942271032685979498020607779608665730075991
Y0: -92765858406774933068320047
Y1: 197782330154033
c0: 259610326150195145346588395480200
c1: 17495474816519883927097226812
c2: 22641748187612712612108
c3: -14183775282605503
c4: 556944608
c5: 720
skew: 2127670.95
type: gnfs
# selected mechanically
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5800000, 12200000)
Relations: 20251044
Relations in full relation-set: 2710354 relations
Pruned matrix : 1627649 x 1627884
Polynomial selection time: 0.00 hours.
Total sieving time: 142.95 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.83 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11600000,11600000,28,28,54,54,2.6,2.6,100000
total time: 146.25 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1967365730731767585642873148782623596309143194517974738630544257957846828380195001356498671339553750300761036085618969655154232620143582285760265861935388168144453435305833888622310832374734381034279577228843391589<214>

34485242751345631369124122177559857<35>
57049496357539776742660026014050681358960260905745784404797108170843549366814810262810937909755970481302853409343117883608467253270671156950874512414044622231674031264096235221877<179>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=157623039
Step 1 took 19385ms
Step 2 took 12585ms
********** Factor found in step 2: 34485242751345631369124122177559857
Found probable prime factor of 35 digits: 34485242751345631369124122177559857
Probable prime cofactor 570494963575... has 179 digits

599255783519507627542965142016509178525585680486670074052898874134060845156554835096960581853633424903271<105>

27744863891912237072162530147219789<35>
21598800623209890984872156408084540647485733124768626602045229223633539<71>

GMP-ECM 6.3 [configured with GMP 4.3.2 and --enable-asm-redc] [ECM]
Input number is 599255783519507627542965142016509178525585680486670074052898874134060845156554835096960581853633424903271 (105 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3690972539
Step 1 took 1400ms
Step 2 took 1030ms
********** Factor found in step 2: 27744863891912237072162530147219789
Found probable prime factor of 35 digits: 27744863891912237072162530147219789
Probable prime cofactor 21598800623209890984872156408084540647485733124768626602045229223633539 has 71 digits

77010384069635529709056436824540195117741782556500553743569924742026336048333927319230704564946746970679445398645984847902037622097186667318486334397815734843759311930755484516943610251567047614640601715349<206>

1910719705816059136792272337554346568590524517770492596274620004504107180687770805559322513775490346474020207711746289760284615309290324247143765955837902813470738412420191372651140753910298870972879<199>

31500025789355789999825375897852228921<38>
60657718777541846762295773673934676745568893150949979576435320202665462413125690003093579662518379865591636829890622920334284292374828606911677802406810756265799<161>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1954268374
Step 1 took 100545ms
Step 2 took 32998ms
********** Factor found in step 2: 31500025789355789999825375897852228921
Found probable prime factor of 38 digits: 31500025789355789999825375897852228921
Probable prime cofactor 60657718777541846762295773673934676745568893150949979576435320202665462413125690003093579662518379865591636829890622920334284292374828606911677802406810756265799 has 161 digits

1786456757544196822203754342717507143312085918373899734827975797689442668469307398848136921082399088435615481475528229676194949823988534755103714605785696612377299675752587235027983050478116670703<196>

38616887429315579200896104505353920779538669076409968821185469678560805539621656067495236671288770634952379439964932507023903716876454989919160746534163748991296009846488369931247706655612209<191>

83551517111937718517649683931376664516637672162917359247460042429222531519159918730989253219794925740465811209492666641465368766079072935729111849484483610568690227818999635444811202100134763900125181<200>

503862806010044144223504805100308427880953441473<48>

165821958111097763495084901281206445279417683877085504052101281088550431614602771083963900806530412861710226613650699557513452398793596744648082062235197<153>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3789693737
Step 1 took 100250ms
Step 2 took 32733ms
********** Factor found in step 2: 503862806010044144223504805100308427880953441473
Found probable prime factor of 48 digits: 503862806010044144223504805100308427880953441473
Composite cofactor 1658219581110977634950849012812064452794176838770855040521012810885504316146027710839639                                                   00806530412861710226613650699557513452398793596744648082062235197 has 153 digits

165821958111097763495084901281206445279417683877085504052101281088550431614602771083963900806530412861710226613650699557513452398793596744648082062235197<153>

112077902075970438721984563002333470391784857706347971407484516188296927<72>
1479524108139512353648208154374786373984008700906572638829561384674797482950247011<82>

p72 factor: 112077902075970438721984563002333470391784857706347971407484516188296927
p82 factor: 1479524108139512353648208154374786373984008700906572638829561384674797482950247011

Complete log at: https://pastebin.com/VJfYkV6J

GGNFS + Msieve

Core i5-3570K (Msieve)

241889271315826839211121681672267612743984637128600189205788023239753630939379404047726688344783161991067996767391778135290120782569846131815623289389309413387071453848857423932476126133644306180536960317823151367291200576277<225>

18720517276543757803566457591613329087473606775149767081483<59>
292306815136910136954355978950052576519932334094355062331740364942747240407023529<81>
44203821893269096725249026488135418549076877699586807429969994560622666078342203911111<86>

prp59 factor: 18720517276543757803566457591613329087473606775149767081483
prp81 factor: 292306815136910136954355978950052576519932334094355062331740364942747240407023529
prp86 factor: 44203821893269096725249026488135418549076877699586807429969994560622666078342203911111

ggnfs-lasieve4I14e on the NFS@Home grid + msieve

370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370373<231>

38901529629359236723212775166068066468958220559126340189673570257<65>
83272846571929932544998838702903866410142753857751210950177938729248330323<74>
114331564611065331559797428762314440749142708828111468579497317712898001328248868884999321943<93>

N=370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370373
  ( 231 digits)
SNFS difficulty: 232 digits.
Divisors found:
 r1=38901529629359236723212775166068066468958220559126340189673570257 (pp65)
 r2=83272846571929932544998838702903866410142753857751210950177938729248330323 (pp74)
 r3=114331564611065331559797428762314440749142708828111468579497317712898001328248868884999321943 (pp93)
Version: Msieve v. 1.51
Total time:
Scaled time: 331.54 units (timescale=1.455).
Factorization parameters were as follows:
n: 370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370373
m: 100000000000000000000000000000000000000
deg: 6
c6: 10000
c0: 71
skew: 0.44
type: snfs
lss: 1
rlim: 51000000
alim: 51000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
qintsize: 160000
Factor base limits: 51000000/51000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [25500000, 68700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 10014029 x 10014263
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,232.000,6,0,0,0,0,0,0,0,0,51000000,51000000,30,30,60,60,2.7,2.7,100000
total time:

6977812991359400764021319905232667205569673493170652157850434202853495523097700103923676147139758359804985014711796295599112215627318280716688367275485467222206464600548994996085535239892601800573655477499057001<211>

953623007729684972610511804418664808055335021633553525250120487575290611388085417312397427733489989159438153165988716319113671674738441522640180702612072306229010444266439480253<177>

50537634953246600297826222751514678063546470639847485593522134463876160560245836446705963895143674803659631368871848929067006496264018484760522082531375751536043638380742891072446431077046353<191>

1107064838294962720183285980012015940926100817<46>

45650112988035772837183035923940760811254897822676746357619697435543616801119061241625538063952704729735321213378102471960644496167779555072267009<146>

GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Input number is 50537634953246600297826222751514678063546470639847485593522134463876160560245836446705963895143674803659631368871848929067006496264018484760522082531375751536043638380742891072446431077046353 (191 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2387794097
Step 1 took 84220ms
Step 2 took 27104ms
********** Factor found in step 2: 1107064838294962720183285980012015940926100817
Found prime factor of 46 digits: 1107064838294962720183285980012015940926100817
Composite cofactor 45650112988035772837183035923940760811254897822676746357619697435543616801119061241625538063952704729735321213378102471960644496167779555072267009 has 146 digits

45650112988035772837183035923940760811254897822676746357619697435543616801119061241625538063952704729735321213378102471960644496167779555072267009<146>

157588103453408982188253272852725098831448769443206223<54>
289679944029101513168147870403888662142222450843482982283405948369819434498348672739134193583<93>

Factors:
157588103453408982188253272852725098831448769443206223
289679944029101513168147870403888662142222450843482982283405948369819434498348672739134193583

PWed Dec  9 17:44:44 2020  commencing linear algebra
Wed Dec  9 17:44:44 2020  read 2188959 cycles
Wed Dec  9 17:44:48 2020  cycles contain 7972743 unique relations
Wed Dec  9 17:45:26 2020  read 7972743 relations
Wed Dec  9 17:45:35 2020  using 20 quadratic characters above 4294917295
Wed Dec  9 17:46:20 2020  building initial matrix
Wed Dec  9 17:47:36 2020  memory use: 1046.3 MB
Wed Dec  9 17:47:37 2020  read 2188959 cycles
Wed Dec  9 17:47:38 2020  matrix is 2188777 x 2188959 (818.2 MB) with weight 255882598 (116.90/col)
Wed Dec  9 17:47:38 2020  sparse part has weight 188213384 (85.98/col)
Wed Dec  9 17:48:04 2020  filtering completed in 2 passes
Wed Dec  9 17:48:05 2020  matrix is 2186507 x 2186688 (817.9 MB) with weight 255772885 (116.97/col)
Wed Dec  9 17:48:05 2020  sparse part has weight 188174297 (86.05/col)
Wed Dec  9 17:48:14 2020  matrix starts at (0, 0)
Wed Dec  9 17:48:15 2020  matrix is 2186507 x 2186688 (817.9 MB) with weight 255772885 (116.97/col)
Wed Dec  9 17:48:15 2020  sparse part has weight 188174297 (86.05/col)
Wed Dec  9 17:48:15 2020  saving the first 48 matrix rows for later
Wed Dec  9 17:48:15 2020  matrix includes 64 packed rows
Wed Dec  9 17:48:16 2020  matrix is 2186459 x 2186688 (795.5 MB) with weight 211274212 (96.62/col)
Wed Dec  9 17:48:16 2020  sparse part has weight 186678628 (85.37/col)
Wed Dec  9 17:48:16 2020  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Wed Dec  9 17:48:24 2020  commencing Lanczos iteration (8 threads)
Wed Dec  9 17:48:24 2020  memory use: 738.8 MB
Wed Dec  9 17:48:29 2020  linear algebra at 0.1%, ETA 1h35m
Wed Dec  9 17:48:31 2020  checkpointing every 1220000 dimensions
Wed Dec  9 19:34:54 2020  lanczos halted after 34577 iterations (dim = 2186459)
Wed Dec  9 19:34:57 2020  recovered 32 nontrivial dependencies
Wed Dec  9 19:34:57 2020  BLanczosTime: 6613
Wed Dec  9 19:34:57 2020  elapsed time 01:50:14
Wed Dec  9 19:34:57 2020  
Wed Dec  9 19:34:57 2020  
Wed Dec  9 19:34:57 2020  Msieve v. 1.54 (SVN 1032M)
Wed Dec  9 19:34:57 2020  random seeds: 30b850ea 75a0840c
Wed Dec  9 19:34:57 2020  factoring 45650112988035772837183035923940760811254897822676746357619697435543616801119061241625538063952704729735321213378102471960644496167779555072267009 (146 digits)
Wed Dec  9 19:34:58 2020  searching for 15-digit factors
Wed Dec  9 19:34:58 2020  commencing number field sieve (146-digit input)
Wed Dec  9 19:34:58 2020  R0: -9535953601609192483841575383
Wed Dec  9 19:34:58 2020  R1: 9387090632009704051303
Wed Dec  9 19:34:58 2020  A0: 23321540233048199239288783153449040
Wed Dec  9 19:34:58 2020  A1: -103218557077502296749893333722
Wed Dec  9 19:34:58 2020  A2: -333475787837537070188293
Wed Dec  9 19:34:58 2020  A3: 899409805587594445
Wed Dec  9 19:34:58 2020  A4: 537191309136
Wed Dec  9 19:34:58 2020  A5: 150960
Wed Dec  9 19:34:58 2020  skew 1.00, size 4.201e-14, alpha -7.050, combined = 1.394e-13 rroots = 3
Wed Dec  9 19:34:58 2020  
Wed Dec  9 19:34:58 2020  commencing square root phase
Wed Dec  9 19:34:58 2020  reading relations for dependency 1
Wed Dec  9 19:34:59 2020  read 1093774 cycles
Wed Dec  9 19:35:01 2020  cycles contain 3986758 unique relations
Wed Dec  9 19:35:23 2020  read 3986758 relations
Wed Dec  9 19:35:42 2020  multiplying 3986758 relations
Wed Dec  9 19:39:57 2020  multiply complete, coefficients have about 204.23 million bits
Wed Dec  9 19:39:58 2020  initial square root is modulo 21338951
Wed Dec  9 19:45:16 2020  sqrtTime: 618
Wed Dec  9 19:45:16 2020  p54 factor: 157588103453408982188253272852725098831448769443206223
Wed Dec  9 19:45:16 2020  p93 factor: 289679944029101513168147870403888662142222450843482982283405948369819434498348672739134193583
Wed Dec  9 19:45:16 2020  elapsed time 00:10:19

CADO-NFS/Msieve

442315532993325799431105644824338861325485432505383368991258632941386393707665783571823712305944162981779103914216563749944240284044868418427248229041942040534702198511616450272879803799133986441551606124443<207>

8716776304785046132553892208653320906303706773756735357731604055560554597751330583559400208031478951977268010021383398049028054924415663783170743646873219348473473695632729933539301371481292751502869357439<205>

94817238595982877619072433044331<32>

91932399992445570273082500383190033825724236755909102319402637310303656523134278853960254697061027245081545946720567920861425418616545835279960492876389099439836255801700669<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1804877245
Step 1 took 27348ms
Step 2 took 10231ms
********** Factor found in step 2: 94817238595982877619072433044331
Found probable prime factor of 32 digits: 94817238595982877619072433044331
Composite cofactor 91932399992445570273082500383190033825724236755909102319402637310303656523134278853960254697061027245081545946720567920861425418616545835279960492876389099439836255801700669 has 173 digits

499577856711079138128281602046270901088580149773441441981525610858824293472016146356328902077744306061378135475523182910440677627404842907742957201165015561850236550115152695971903741338568909271665442700917724522778252376741653302959<234>

8879366898890808918550196021369456583609131<43>

56262778912028661718560801789180015020125716597807113926762035671123160588478136215229335336558000343109398353445300441887081956216513623562206495019370963637075693998495192103572955789621389<191>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1835801271
Step 1 took 408228ms
Step 2 took 97929ms
********** Factor found in step 2: 8879366898890808918550196021369456583609131
Found probable prime factor of 43 digits: 8879366898890808918550196021369456583609131

3269476333192829948051252108223985373739766925545188591233579396930358612534210434077647269999332489536346814013653050603771225519363904260973235210939577418892506714709179233202528502901667742830384551712091074193202563827064181<229>

102209753981941950280752593969<30>

31987909233892385685730678996605152280551615829781187515953099698756585675456272854959972858575766122600170231628683196063288642073301524681052675793068315152282920950113607408133574240258370136201349<200>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3313123052
Step 1 took 30681ms
********** Factor found in step 1: 102209753981941950280752593969
Found probable prime factor of 30 digits: 102209753981941950280752593969
Composite cofactor 31987909233892385685730678996605152280551615829781187515953099698756585675456272854959972858575766122600170231628683196063288642073301524681052675793068315152282920950113607408133574240258370136201349 has 200 digits

31987909233892385685730678996605152280551615829781187515953099698756585675456272854959972858575766122600170231628683196063288642073301524681052675793068315152282920950113607408133574240258370136201349<200>

8282686679920443081331296413002687795173893<43>
3862020920269754326863105682745757440793391021901966932765252170409814166102055460112698593655669709274695701976081200519065888296576436535448993653643480193<157>

GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Input number is 31987909233892385685730678996605152280551615829781187515953099698756585675456272854959972858575766122600170231628683196063288642073301524681052675793068315152282920950113607408133574240258370136201349 (200 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2913220619
Step 1 took 96176ms
Step 2 took 29368ms
********** Factor found in step 2: 8282686679920443081331296413002687795173893
Found prime factor of 43 digits: 8282686679920443081331296413002687795173893
Prime cofactor 3862020920269754326863105682745757440793391021901966932765252170409814166102055460112698593655669709274695701976081200519065888296576436535448993653643480193 has 157 digits

933706816059757236227824463118580765639589169000933706816059757236227824463118580765639589169000933706816059757236227824463118580765639589169000933706816059757236227824463118580765639589169000933706816059757236227824463118580765639589169001<240>

385285920087782159058503522299306813677887320393751933786756827288928028453313747831799380272878818485922510350239402770078081053806274193554063049510639281129986971760134379494547027687977882734240052361<204>

1295507671626464930470958222104321<34>
297401496360163622156795923734330287627869797053707847280305534600326299403508254618867194285174909551782688359979729209098169526517580150427614551977425317919823795791241<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3237230535
Step 1 took 27381ms
Step 2 took 10224ms
********** Factor found in step 2: 1295507671626464930470958222104321
Found probable prime factor of 34 digits: 1295507671626464930470958222104321
Probable prime cofactor 297401496360163622156795923734330287627869797053707847280305534600326299403508254618867194285174909551782688359979729209098169526517580150427614551977425317919823795791241 has 171 digits

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<245>

24164822890633570718420181256194871<35>

459805195403184351794195325767978763976043530642282789668991928977086761681736459997165624487133579652798979527527638552225565161376510283736865890399322863705914303881144904571869991249627138944025592383195689<210>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3547153577
Step 1 took 30647ms
Step 2 took 10882ms
********** Factor found in step 2: 24164822890633570718420181256194871
Found probable prime factor of 35 digits: 24164822890633570718420181256194871
Composite cofactor 459805195403184351794195325767978763976043530642282789668991928977086761681736459997165624487133579652798979527527638552225565161376510283736865890399322863705914303881144904571869991249627138944025592383195689 has 210 digits

GMP-ECM 6.3

459805195403184351794195325767978763976043530642282789668991928977086761681736459997165624487133579652798979527527638552225565161376510283736865890399322863705914303881144904571869991249627138944025592383195689<210>

39056164251576030986457030371678912996427683<44>
11772922513368164696613019693251972659278908737877743352290006653141432745475459315306917094210287346318747168373507180597289900549602779421526913590297833789219206083<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1859908578
Step 1 took 25765ms
Step 2 took 9443ms
********** Factor found in step 2: 39056164251576030986457030371678912996427683
Found probable prime factor of 44 digits: 39056164251576030986457030371678912996427683
Probable prime cofactor 11772922513368164696613019693251972659278908737877743352290006653141432745475459315306917094210287346318747168373507180597289900549602779421526913590297833789219206083 has 167 digits

GMP-ECM 6.3

2267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410431<247>

2572204873430040937826425986552399355185690487286407013053054958509525927108610464442415942364666130221243830278959790229332399031838715724355978059564581233950609741908129580071213588873891320386723485600187156918091<217>

67825518382098857659520018387149356410506231817920344587615835023936328535021531433173825850719948004596006127043908554576705071894929043341900339806021654579148611385599844086252629182693<188>

3863156682538732806322329540254971448779<40>

17557019804210031548945917528203104760847630901969525559803908181338836320040214883244072802147556511607974172023453171596799284428123753920466775567<149>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2594863928 11e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 67825518382098857659520018387149356410506231817920344587615835023936328535021531433173825850719948004596006127043908554576705071894929043341900339806021654579148611385599844086252629182693 (188 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2594863928
Step 1 took 15578ms
Step 2 took 11907ms
********** Factor found in step 2: 3863156682538732806322329540254971448779
Found probable prime factor of 40 digits: 3863156682538732806322329540254971448779
Composite cofactor 17557019804210031548945917528203104760847630901969525559803908181338836320040214883244072802147556511607974172023453171596799284428123753920466775567 has 149 digits

core i9 9900k 3.6MHz

17557019804210031548945917528203104760847630901969525559803908181338836320040214883244072802147556511607974172023453171596799284428123753920466775567<149>

334338564105881772880505202479696299928327444021<48>
52512697274879406560902773179505566206008083557524138487734293146305419838826974473814129235740847027<101>

334338564105881772880505202479696299928327444021
52512697274879406560902773179505566206008083557524138487734293146305419838826974473814129235740847027

cado-nfs

2x E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

99686799609776784593861067064903725343745839514847078110450647083388970349671574607540802450173119818960501987205350569062042318842625483972513172307100253414530565273247604497491676050048138232526425585701443778045156004001047999<230>

17087887558128734130421155681783703<35>

5833769637742941621272862139844359063385204228453110402676577179680902691799458401792634825871093669876477868308497961356366640325743937268248061352274870098786615829247978318857938380555758788633<196>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P+1]
Input number is 99686799609776784593861067064903725343745839514847078110450647083388970349671574607540802450173119818960501987205350569062042318842625483972513172307100253414530565273247604497491676050048138232526425585701443778045156004001047999 (230 digits)
Using B1=4000000, B2=22369549906, polynomial x^1, x0=2270268000
Step 1 took 6006ms
Step 2 took 5288ms
********** Factor found in step 2: 17087887558128734130421155681783703
Found probable prime factor of 35 digits: 17087887558128734130421155681783703
Composite cofactor 5833769637742941621272862139844359063385204228453110402676577179680902691799458401792634825871093669876477868308497961356366640325743937268248061352274870098786615829247978318857938380555758788633 has 196 digits

21223028117804366826853339313154798809929407849986227750752993234219159333244684662778607979084040939673907470165897912106792255521188603011305321086392100068005976380785054979576757800373230067604672927069324253537057431750219363321<233>

1089995667301431092714012613313932714975204503653790467964989749498929394555991798283501005476422999478127202026527361306484583431512270821269216586974677648920661529861572936013498175599053974847216326905457542861<214>

262324845420487180048988799549178855027<39>

4155136985039481331467111880779737228266802903689072029130355953627261271289882020953691425877818883917046064507875188094387103913753001958750238440756851229116518469624862143<175>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1763824352
Step 1 took 18329ms
Step 2 took 6387ms
********** Factor found in step 2: 262324845420487180048988799549178855027
Found probable prime factor of 39 digits: 262324845420487180048988799549178855027
Composite cofactor

4155136985039481331467111880779737228266802903689072029130355953627261271289882020953691425877818883917046064507875188094387103913753001958750238440756851229116518469624862143<175>

194541021707044335668407983600261107518181593<45>
21358667434658711410620094808241750721274063846428649472167277767655460559588947088937436182898203882427256938648351413921139211351<131>

Thu 2015/10/22 23:22:12 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Thu 2015/10/22 23:22:12 UTC Input number is 4155136985039481331467111880779737228266802903689072029130355953627261271289882020953691425877818883917046064507875188094387103913753001958750238440756851229116518469624862143 (175 digits)
Thu 2015/10/22 23:22:12 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:19192760
Thu 2015/10/22 23:22:12 UTC Step 1 took 243313ms
Thu 2015/10/22 23:22:12 UTC Step 2 took 99375ms
Thu 2015/10/22 23:22:12 UTC ********** Factor found in step 2: 194541021707044335668407983600261107518181593
Thu 2015/10/22 23:22:12 UTC Found probable prime factor of 45 digits: 194541021707044335668407983600261107518181593
Thu 2015/10/22 23:22:12 UTC Probable prime cofactor 21358667434658711410620094808241750721274063846428649472167277767655460559588947088937436182898203882427256938648351413921139211351 has 131 digits

GMP-ECM

485034809032204437972570615712375901589285329623421841693870545891967310129169599149916899262878190782819171063505141743102898667648196955585240912206362885642202737103498483517307645367761655471145816916050790253335112685903<225>

1261552749686259042669302083021408700776345021907727705933203562051043292185835852287052026791388219319153722271941750007763309689872076645461994963268387532471354091517677356402446300965196304151897137<202>

906955441279169954380141303657751294678892426015109877651710971439973154118938136569350347817411730561677504784189952747621509355245376794638079431157547229704604612775374345858387977398670403323084736846878712848837736602000743703461848919362591715869<252>

50529723302862689218701562444753097588862112784576590886420083794640994099637773123212045794573088607097676515488267251800959439947700966242356432424437496665438402902678357401029937792970299313333721596533<206>

6622563230656391440313349020931321688153<40>

7629934444258143468014653811644756122998936376283609398386871579432866933078350070534472646376004913257169660026563338564453642452670902372921676125238677885477486461<166>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2566971903 11e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 50529723302862689218701562444753097588862112784576590886420083794640994099637773123212045794573088607097676515488267251800959439947700966242356432424437496665438402902678357401029937792970299313333721596533 (206 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2566971903
Step 1 took 37922ms
Step 2 took 21250ms
********** Factor found in step 2: 6622563230656391440313349020931321688153
Found probable prime factor of 40 digits: 6622563230656391440313349020931321688153
Composite cofactor 7629934444258143468014653811644756122998936376283609398386871579432866933078350070534472646376004913257169660026563338564453642452670902372921676125238677885477486461 has 166 digits

core i9 9900k 3.6GHz

3270763625183571608463427956525009894059966180304115601869568488154929531397695419949695655444676668661832478028645347829357720146922702043246036652177183807103444441173680819260872835981016487919434550384478264140328842574875956289514913046749024494748789<256>

1024572201050704099417470798639226717973909<43>

3192321265235760416320731108655799576921278531477579359361558743341361017993480670951336900226070837713656141466775848916094492840454857497364004536172926750581840780787805774282777553193672580187806652400191636321<214>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:4142124340 11e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 3270763625183571608463427956525009894059966180304115601869568488154929531397695419949695655444676668661832478028645347829357720146922702043246036652177183807103444441173680819260872835981016487919434550384478264140328842574875956289514913046749024494748789 (256 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4142124340
Step 1 took 48765ms
Step 2 took 24766ms
********** Factor found in step 2: 1024572201050704099417470798639226717973909
Found probable prime factor of 43 digits: 1024572201050704099417470798639226717973909
Composite cofactor 3192321265235760416320731108655799576921278531477579359361558743341361017993480670951336900226070837713656141466775848916094492840454857497364004536172926750581840780787805774282777553193672580187806652400191636321 has 214 digits

151999232387695396900324814122434392541277425972279901326832782568837579975709232184804984551962999207270832312305143657873412553870150357773463210597821355595082459432815922211059315398479195342047479282180629499538178737155894281960871<237>

3036885669317433603002841661197681273465491180265266249706053230558014456904926205546465883708981694243708821398793469464424205774791589700365162842071985070125051231430896379312886522617576489908930657100563304277172859829<223>

5547234703500305097908692516780384978088422921173794863260664558717479336550729461363510290120374993065956620624618627614134354024518777389471348532756420924169301603150829311588173295612137349531258667554224219226715482332057469351528263160814334054473844788373<262>

12771392081736909323116219667943805874840357598978288633461047254150702426564495530012771392081736909323116219667943805874840357598978288633461047254150702426564495530012771392081736909323116219667943805874840357598978288633461047254150702426564495530012771392081737<266>

1190381887810409807047604904570560925418754768621<49>
10728819223911938611358517166019155501000368705638063744713724729283817064360588363592124293227385222327132800442749086922663806749960621641591417351714564542881764308567957739639857367051755629861702292056805967915597<218>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 12771392081736909323116219667943805874840357598978288633461047254150702426564495530012771392081736909323116219667943805874840357598978288633461047254150702426564495530012771392081736909323116219667943805874840357598978288633461047254150702426564495530012771392081737 (266 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4020548414
Step 1 took 51092ms
Step 2 took 18085ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1194790350
Step 1 took 51715ms
Step 2 took 18296ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3077770717
Step 1 took 49928ms
Step 2 took 18244ms
Run 29 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1562375216
Step 1 took 49028ms
Step 2 took 18773ms
** Factor found in step 2: 1190381887810409807047604904570560925418754768621
Found prime factor of 49 digits: 1190381887810409807047604904570560925418754768621
Prime cofactor 10728819223911938611358517166019155501000368705638063744713724729283817064360588363592124293227385222327132800442749086922663806749960621641591417351714564542881764308567957739639857367051755629861702292056805967915597 has 218 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

96320125882121595389221853280971294438339243177288629739803780764231963342716957320076933295101735071579549159392408942119951641319217234850071179797843951085622948329107115630996932766625735936869158481459300679593<215>

1119937216867971187425946300412449<34>

86004933518944504044674966733648953322423540025634859754607610127624624751716705632958815012467705882832065700860211855594306730888240709949130357077638631373851798050955809381330057<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=895781953
Step 1 took 20226ms
Step 2 took 7636ms
********** Factor found in step 2: 1119937216867971187425946300412449
Found probable prime factor of 34 digits: 1119937216867971187425946300412449
Composite cofactor

38756400135027298070435106477395910967247353809889780673655995867017489600688933768800245250500054452742189713353788961324600741254908982532102895141846486674193159572888967951945164344576952576506102776547262073490661064041463147120457604567674294313777241389199909<266>

79955963127527553364396607197881537397106497045492716485857965604563131143273955371781699594262129844777200742228231351009933856708549064146550464148439711618794809166220790839056654533597925109687054310444797836528778237060741218958422285991404447241707012699521<263>

15505834048032390948278294190169<32>

5156508374838020784699851705516343729030768142688591893053363835975996391291027945740913490767670959912348175769740093427292660430891914462839024442052436244409608345296526683913876039002858371153963970340902694078355821861789852009<232>

Input number is 79955963127527553364396607197881537397106497045492716485857965604563131143273955371781699594262129844777200742228231351009933856708549064146550464148439711618794809166220790839056654533597925109687054310444797836528778237060741218958422285991404447241707012699521 (263 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1048367584
Step 1 took 9548ms
Step 2 took 4804ms
********** Factor found in step 2: 15505834048032390948278294190169
Found probable prime factor of 32 digits: 15505834048032390948278294190169
Composite cofactor 5156508374838020784699851705516343729030768142688591893053363835975996391291027945740913490767670959912348175769740093427292660430891914462839024442052436244409608345296526683913876039002858371153963970340902694078355821861789852009 has 232 digits

GMP-ECM 6.4.4

5156508374838020784699851705516343729030768142688591893053363835975996391291027945740913490767670959912348175769740093427292660430891914462839024442052436244409608345296526683913876039002858371153963970340902694078355821861789852009<232>

54521567326465781349666671900610650323639777<44>

94577405377247030339255174757244620968562887844210700909404914652699876040316576789437740535432223666018030104747374192152614309796387778468800605903296256209811254141713708818613717345417<188>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 5156508374838020784699851705516343729030768142688591893053363835975996391291027945740913490767670959912348175769740093427292660430891914462839024442052436244409608345296526683913876039002858371153963970340902694078355821861789852009 (232 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3492017535
Step 1 took 48860ms
Step 2 took 16107ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2499400700
Step 1 took 45124ms
Step 2 took 16059ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3520613020
Step 1 took 43533ms
Step 2 took 15978ms
Run 64 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1111204508
Step 1 took 43767ms
Step 2 took 16055ms
** Factor found in step 2: 54521567326465781349666671900610650323639777
Found prime factor of 44 digits: 54521567326465781349666671900610650323639777
Composite cofactor 94577405377247030339255174757244620968562887844210700909404914652699876040316576789437740535432223666018030104747374192152614309796387778468800605903296256209811254141713708818613717345417 has 188 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

690129883317708700347897356247300100838124906005560407035564721719564332539388855972710583680041006546012153030385753400690864305044777938864098394576682812568153582668481712901421995095075590957122713652604486573390346062376512800950906646454832941797<252>

4318541380911070409442805695937867909<37>

159806245314271819944424448247791291446642910702032601617609230912305388892257580803882757712094350257797238536421887456863855785717369055330659005600648633949305921524762998966635266855853659769605634550881370091233<216>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=807332285
Step 1 took 24303ms
Step 2 took 7764ms
********** Factor found in step 2: 4318541380911070409442805695937867909
Found probable prime factor of 37 digits: 4318541380911070409442805695937867909
Composite cofactor 

2061429147341024483271624981704300894102309026503239812511681150099647003014128180377779833616036633835971423963499751736082679073359174503557140729355346483295096824089801280530687622719312265074836132337102629560896147839350121<229>