is 2 1657729 - 1
has 499027 decimal digits
takes 0.078 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFF7C00B4108E8C43double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.924568.6567%1000000200000000.13895.6908%18.063470.4404%1.7837%
PrimeNet2570.011663.1579%70001200000.00092.5658%0.012564.1032%0.9453%
GPU722610.185365.5738%7000700000.00071.1523%0.186065.9705%0.3967%
Difference+6+17.7392+3.0829%+993000+19930000+0.1382+4.5385%+17.8773+4.4699%+4.4699%

Known prime factors (1 factor, 96.2 bits, 0.00580292% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1657729907980907788253167649422525532996.19727386288946753455107844
22 × 7 × 13 × 75237057546025975571
2017-09-1213752370575460259755711.015e+102.797e+115.225e+11

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-02-29T17:08:00AxonManual testing100000100000---0.007--0.879%
2012-02-29T17:12:00AxonManual testing200000200000---0.014--1.282%
2012-02-29T18:09:00AxonManual testing300000300000---0.020--1.564%
2012-02-29T18:12:00AxonManual testing400000400000---0.027--1.783%
2012-02-29T19:09:00AxonManual testing500000500000---0.034--1.966%
2012-02-29T19:12:00AxonManual testing600000600000---0.041--2.122%
2012-02-29T20:09:00AxonManual testing700000700000---0.048--2.259%
2012-02-29T20:12:00AxonManual testing800000800000---0.055--2.382%
2012-02-29T21:10:00AxonManual testing900000900000---0.061--2.494%
2012-02-29T21:13:00AxonManual testing10000001000000---0.068--2.596%
2012-03-01T06:08:00AxonManual testing10000008000000---0.094--4.725%
2012-03-01T07:09:00AxonManual testing100000020000000---0.139--5.691%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:28:44Mark RoseManual testing21260--0.093--
2010-04-28T14:50:00Architects Cubedm1_tt260261--0.093--
2016-02-23T16:28:44Mark RoseManual testing261262--0.185--
2010-08-13T02:23:00GrunwalderGIMPManual testing21263--0.963--
2016-02-23T16:28:44Mark RoseManual testing262263--0.592--
2015-05-08T21:33:00omylistManual testing263264--1.184--
2015-05-09T21:50:00monstManual testing264265--2.254--
2015-10-11T16:53:04ramgeisManual testing265266--4.508--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.881 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:14.881 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025014.82
50000500000010.059


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-21T00:00:00ANONYMOUSv4_computersFF7C00B4108E8C430.078
2015-07-10T01:00:00MadPooManual testingFF7C00B4108E8C430.078


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-02T20:04:57Oliver KruseGTX-3
90798090778825316764942252553
48FA7A5D9BA2AE__no
2017-11-02T14:35:41ATHec2-1xf
90798090778825316764942252553
48FA7A5D9BA2AE__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000, B2 = 8000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 900000 (P-1 stage 1)
B1 = 800000 (P-1 stage 1)
B1 = 700000 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2019-12-02T14:38:08+00:00