is 2 71908231 - 1
has 21646535 decimal digits
takes 192.255 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
Actual27326.601263.0137 %705000153337505.82294.6307 %32.424164.7264 %
Target27453.204863.5135 %5000008500000019.78614.1169 %72.990965.0156 %
Difference-1-26.6036-0.4998 %+205000-69666250-13.9631+0.5138%-40.5668-0.2892 %

Known prime factors (1 factor, 81.7 bits, 0.00011365% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7190823139904257804424963423129932581.72327746655180840816
24 × 3 × 11 × 2063 × 12589 × 2023421
2015-05-3112589202342110,3130.47350.7982

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-05-31TheJudgerManual testing70500015333750622581.7236.1414.212%


Trial Factoring results:
575859606162636465666768697071727374
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-05-11Jossv4_computers212570.000
2008-10-03ANONYMOUSManual testing212640.026
2010-05-06Helmut Zulusvibra2642650.052
2010-05-09duklahome2652660.104
2010-05-11eon_blue_apocalypse6-pak2662670.208
2010-05-14eon_blue_apocalypse6-pak2672680.416
2010-05-17eon_blue_apocalypse6-pak2682690.831
2012-07-09tscv4_computers212701.663
2012-12-01ANONYMOUS2702713.325
2015-02-07RichD0Manual testing2712726.651
2015-05-10el groccoManual testing27227313.30


ECM factoring results:
No ECM results for M71908231


Lucas-Lehmer results:
No L-L results for M71908231


PRP results:
No PRP results for M71908231


CERT results:
No CERT results for M71908231


P-1 factor-bounds graph:
B1 = 705000, B2 = 15333750 (P-1 stage 2)
B1 = 705000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
257
this exponent TF target: 74
TF double-checked to: 67
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00