is 2 78534089 - 1
has 23641117 decimal digits
takes 245.065 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27597.434264.0000 %660000132000006.07763.7228 %103.511965.3402 %
Target27597.434264.0000 %5000008500000023.09323.7741 %120.527465.3587 %
Difference---+160000-71800000-17.0155-0.0513 %-17.0155-0.0185 %

Known prime factors (1 factor, 83.7 bits, 0.00010661% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
78534089160314208814294669665843212683.729102066638103037440
29 × 32 × 5 × 7 × 478927 × 1321399
2016-06-13478927132139934,0142.37474.4102

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-06-13Judge HaleCJ660000132000001222683.7296.2733.723%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-02-24Jossv4_computers212570.000
2008-01-151997rj7v4_computers212630.012
2008-06-021997rj7v4_computers212640.025
2010-11-04Francesco B.Bedo2991Linux2642650.048
2010-11-07LarryGLarry_newlaptop2652660.095
2010-11-13Gagadadapc2662670.190
2010-11-17Mark DeVirgiliocompaq2672680.381
2010-11-21Fred Cirera2682690.761
2010-11-24Craig MeyersManual testing2692701.522
2014-02-23CSLatDDtmsm7-322702713.045
2015-07-27RichD0Manual testing2712726.090
2016-06-03RichD0Manual testing27227312.18
2016-06-06AirSquirrelsManual testing27327573.08


ECM factoring results:
No ECM results for M78534089


Lucas-Lehmer results:
No L-L results for M78534089


PRP results:
No PRP results for M78534089


CERT results:
No CERT results for M78534089


P-1 factor-bounds graph:
B1 = 660000, B2 = 13200000 (P-1 stage 2)
B1 = 660000 (P-1 stage 1)
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108
TF factor-bounds graph:
275
273
272
271
270
269
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267
266
265
264
263
257
this exponent TF target: 75
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00