is 2 12853331 - 1
has 3869239 decimal digits
takes 5.250 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5C9F7DBD3565514Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2699.288465.2174%43000085000000.51514.6573%9.803566.8373%1.6199%
PrimeNet2640.276962.5000%6000017000000.08854.3301%0.365464.1238%1.6238%
GPU722684.637364.7059%9000024000000.12783.1636%4.765265.8224%1.1165%
Difference+1+4.6511+0.5115%+340000+6100000+0.3872+1.4937%+5.0383+1.0149%+1.0149%

Known prime factors (1 factor, 70.9 bits, 0.00055123% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1285333121292062119924880572572270.85182827020170588
22 × 151 × 2111 × 64960127
2019-10-1221116496012734.4082.09743.9152

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-06-12T00:00:00dave_0273v4_computers800001500000---0.093--2.467%
2018-07-11T00:21:13riccardo ubertiNomad2C430000850000012---0.515--4.657%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21264--0.277--
2013-06-03T06:44:00lycornManual testing264265--0.291--
2014-04-27T15:11:00NesowaManual testing265266--0.581--
2015-04-10T11:18:00ThaManual testing266267--1.163--
2018-01-07T23:31:59ramgeisManual testing267268--2.326--
2018-01-07T23:31:59ramgeisManual testing268269--4.651--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.242 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:1.242 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.06593.752%
25500000.00699.419%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.621
50000500000010.621


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-20T00:00:00Lars Frickev4_computers5C9F7DBD3565514D5.250
2004-09-16T00:00:00ANONYMOUSv4_computers5C9F7DBD3565514D5.250


PRP results:
dateuseridcompidcofactorsres64PRP
2019-10-12T12:19:03theSpirit83i7-7700HQ
2129206211992488057257
3B4A1483C40CBB49no
2020-10-05T06:54:45JaytholomewJaytholomew
2129206211992488057257
3B4A1483C40CBB49no


P-1 factor-bounds graph:
B1 = 430000, B2 = 8500000 (P-1 stage 2)
B1 = 430000 (P-1 stage 1)
B1 = 80000, B2 = 1500000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
269
268
267
266
265
264
250
260
270
280
290
2100
Last modified: 2020-10-05T06:54:45+00:00