is 2 78412937 - 1
has 23604647 decimal digits
takes 244.686 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
Actual27597.584864.0000 %660000132000006.07763.7221 %103.662465.3400 %
Target27597.584864.0000 %5000008500000023.09323.7733 %120.677965.3584 %
Difference---+160000-71800000-17.0155-0.0512 %-17.0155-0.0184 %

Known prime factors (1 factor, 85.4 bits, 0.00010896% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
78412937523511692274750946727506892685.436333817168635547312
24 × 17 × 37 × 47 × 271 × 1993 × 1306663
2016-06-0519931306663162,0500.33060.6016

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-06-05TheJudgerManual testing660000132000001222685.4367.0553.722%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2004-04-09AxelFoxv4_computers212620.004
2008-03-221997rj7v4_computers212640.025
2010-11-07ANONYMOUS2642650.048
2011-01-07ANONYMOUSManual testing2652660.095
2011-01-08Re83L8507132662670.191
2011-03-14eon_blue_apocalypseStraight-82672680.381
2011-03-18eon_blue_apocalypseStraight-82682690.762
2011-03-23eon_blue_apocalypseStraight-82692701.525
2013-01-13albin_pouillesks30984342702713.050
2015-07-14RichD0Manual testing2712726.099
2016-05-20GregManual testing27227312.20
2016-05-27AirSquirrelsManual testing27327573.19


ECM factoring results:
No ECM results for M78412937


Lucas-Lehmer results:
No L-L results for M78412937


PRP results:
No PRP results for M78412937


CERT results:
No CERT results for M78412937


P-1 factor-bounds graph:
B1 = 660000, B2 = 13200000 (P-1 stage 2)
B1 = 660000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
275
273
272
271
270
269
268
267
266
265
264
262
this exponent TF target: 75
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00