is 2 14086231 - 1
has 4240379 decimal digits
takes 6.250 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L14FB8DA91DCF4122double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27133.939466.1972 %700000070000004.50344.3152 %38.442867.6558 %
Target2698.475465.2174 %90000120000000.47542.8557 %8.950866.2107 %
Difference+2+25.4640+0.9798 %+6910000-5000000+4.0280+1.4595%+29.4920+1.4452 %

Known prime factors (1 factor, 78.8 bits, 0.00055963% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
140862315374435062179679717640392478.83019076909437945749
3 × 13 × 241 × 573761 × 3537491
2020-08-0457376135374916,668.30.47300.7512

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers1500001537500--0.1452.801%
2020-08-04masserManual testing7000000700000012478.8304.8615.164%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-10Net_Forcev4_computers212560.001
2000-09-08ANONYMOUSv4_computers212650.265
2014-07-22NesowaManual testing2652660.531
2015-08-23ThaManual testing2662671.061
2018-02-13ramgeisManual testing2672696.366
2020-07-14masserManual testing26927125.46


ECM factoring results:
Total ECM effort:2.881 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.571%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675
51000500000032.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-11-24ANONYMOUSv4_computers14FB8DA91DCF41226.250
2005-05-28WileECoyotev4_computers14FB8DA91DCF41226.250


PRP results:
dateuseridcompidcofactorsres64
2022-12-23Perigbreagan
537443506217967971764039
40BE2D289C794B18


CERT results:
dateuseridcompid
2022-12-25iwessrvwes28


P-1 factor-bounds graph:
B1 = 7000000 (P-1 stage 1)
B1 = 150000, B2 = 1537500 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
104
105
106
107
104
105
106
107
TF factor-bounds graph:
271
269
267
266
265
256
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00