is 2 10179391 - 1
has 3064303 decimal digits
takes 2.969 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 PRP tests remaining
ResidueStatus
L-LFFCEC58D614E85F4double-checked
PRP33013F30230DF4__PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2685.855464.7059 %12500024687500.10693.2575 %5.962365.8556 %
Target2685.855464.7059 %7000080000000.21232.6542 %6.067865.6427 %
Difference---+55000-5531250-0.1055+0.6033%-0.1055+0.2129 %

Known prime factors (1 factor, 77.2 bits, 0.00075867% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101793911770279582558040315116972477.2288695410081791928
23 × 3 × 11 × 103 × 95087 × 3363007
2011-08-259508733630073,780.10.11550.1447

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-03-01WileECoyotev4_computers5500055000--0.0230.747%
2007-09-13WileECoyotev4_computers5500055000--0.0230.747%
2011-08-21Sebastian HornbostelHome-Core_i512500024687506--0.1073.258%
2011-08-25James Heinrichi7-9202477.2280.1790.000%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-10delongv4_computers212640.193
2022-04-08James HeinrichManual testing264267
2022-02-06ViliamFManual testing267268


ECM factoring results:
No ECM results for M10179391


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-06-11ANONYMOUSv4_computersFFCEC58D614E85F42.969
2004-03-16WileECoyotev4_computersFFCEC58D614E85F42.969
2007-09-13WileECoyotev4_computersFFCEC58D614E85F42.969


PRP results:
dateuseridcompidcofactorsres64
2020-02-21Sébastien BROUCKEPortable_Seb
177027958255804031511697
33013F30230DF4D8
2021-02-06lobsterfordinnerlaptop2
177027958255804031511697
33013F30230DF4D8


CERT results:
No CERT results for M10179391


P-1 factor-bounds graph:
B1 = 125000, B2 = 2468750 (P-1 stage 2)
B1 = 125000 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
TF factor-bounds graph:
268
267
264
this exponent TF target: 68
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00