is 2 10422589 - 1
has 3137512 decimal digits
takes 3.405 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0650D0DA61AF19ECdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672.850964.1791 %18500038850000.18314.2622 %3.034065.7059 %
Target2685.718864.7059 %7000085000000.25072.7018 %5.969565.6594 %
Difference-1-2.8679-0.5268 %+115000-4615000-0.0676+1.5605%-2.9355+0.0464 %

Known prime factors (1 factor, 73.5 bits, 0.00070472% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10422589129043816532671777800792373.450619058357442051
3 × 97 × 257 × 1201 × 6892273
2016-10-2712016892273183.530.17840.3322

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-13Tom Muellerv4_computers5500055000--0.0260.750%
2011-10-03James HeinrichQ660018500038850006--0.1833.833%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-23ANONYMOUSv4_computers212640.188
2011-09-17James HeinrichManual testing2642650.358
2015-05-03ThaManual testing2652660.717
2015-12-11VictordeHollanderManual testing2662671.434


ECM factoring results:
Total ECM effort:1.011 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.514
50000500000010.497


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-01-21ANONYMOUSv4_computers0650D0DA61AF19EC3.405
2003-12-31Tom Muellerv4_computers0650D0DA61AF19EC3.405


PRP results:
dateuseridcompidcofactorsres64
2020-06-20Chang Chia-Tcheex03
12904381653267177780079
A13DE97ECE53EF28
2021-03-03Oliver KruseThreadripper-PC
12904381653267177780079
A13DE97ECE53EF28


CERT results:
dateuseridcompid
2021-03-0369-bit_color_depth69-bit_computer


P-1 factor-bounds graph:
B1 = 185000, B2 = 3885000 (P-1 stage 2)
B1 = 185000 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
TF factor-bounds graph:
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: 2024-02-09T03:30:02+00:00