is 2 76831829 - 1
has 23128686 decimal digits
takes 216.623 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
Actual27599.592964.0000 %6700006700002.73911.5605 %102.332064.5618 %
Target27449.795363.5135 %5000009000000021.97904.1954 %71.774365.0443 %
Difference+1+49.7976+0.4865 %+170000-89330000-19.2399-2.6348 %+30.5577-0.4825 %

Known prime factors (1 factor, 85.8 bits, 0.00011165% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
76831829666184102840613261512814332685.784433533934771104604
22 × 97 × 3191 × 577123 × 606731
2016-05-01577123606731164,3252.36604.8018

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-05-01TheJudgerManual testing67000067000012685.7842.7391.751%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-10ANONYMOUSv4_computers212531.56000e-5
2004-06-21markrv4_computers212620.004
2016-04-02Mark RoseManual testing262264
2010-09-16seekuaseekua-home2642650.049
2010-11-17Hatchwquad2652660.097
2010-11-18ANONYMOUS2662670.195
2010-11-20ANONYMOUS2672680.389
2010-12-08Vaxmanportatil2682690.778
2010-12-08sannerud.comJimEmcLap2692701.556
2013-05-19SMoffatManual testing2702713.112
2015-12-02RichD0Manual testing2712726.225
2016-03-28RichD0Manual testing27227312.45
2016-04-20Judge HaleManual testing27327424.90
2016-04-24AirSquirrelsManual testing27427549.80


ECM factoring results:
No ECM results for M76831829


Lucas-Lehmer results:
No L-L results for M76831829


PRP results:
No PRP results for M76831829


CERT results:
No CERT results for M76831829


P-1 factor-bounds graph:
B1 = 670000 (P-1 stage 1)
104
105
106
104
105
106
TF factor-bounds graph:
275
274
273
272
271
270
269
268
267
266
265
264
262
253
this exponent TF target: 74
TF double-checked to: 67
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00