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
factored, 0 LL tests remaining
ResidueStatus
L-L5C9F7DBD3565514Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2699.288465.2174 %43000085000000.51514.6573 %9.803566.8373 %
Target2684.637364.7059 %90000120000000.43763.1636 %5.074965.8224 %
Difference+1+4.6511+0.5115 %+340000-3500000+0.0775+1.4937%+4.7285+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
2019-10-1221116496012718.5912.09743.9152

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-06-12dave_0273v4_computers8000015000006--0.0932.780%
2018-07-11riccardo ubertiNomad2C430000850000012--0.5155.135%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-19ANONYMOUSv4_computers212640.153
2013-06-03lycornManual testing2642650.291
2014-04-27NesowaManual testing2652660.581
2015-04-10ThaManual testing2662671.163
2018-01-07ramgeisManual testing2672682.326
2018-01-07ramgeisManual testing2682694.651


ECM factoring results:
Total ECM effort:1.242 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.621
50000500000010.621


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


PRP results:
dateuseridcompidcofactorsres64
2019-10-12theSpirit83i7-7700HQ
2129206211992488057257
3B4A1483C40CBB49
2020-10-05JaytholomewJaytholomew
2129206211992488057257
3B4A1483C40CBB49


CERT results:
dateuseridcompid
2020-10-05Runtime ErrorArcarsenal


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
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00