is 2 107216381 - 1
has 32275347 decimal digits
takes 439.736 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 PRP tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP8ABA7657C2554460PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual276142.739364.4737 %8830005238600021.93874.7068 %164.678066.1458 %
Target276142.739364.4737 %70000012000000042.81733.9757 %185.556665.8861 %
Difference---+183000-67614000-20.8786+0.7310%-20.8786+0.2597 %

Known prime factors (1 factor, 91.2 bits, 0.00008510% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10721638129217388716488144943309786012891.23913625431321212075300
22 × 3 × 52 × 13 × 53 × 4723 × 7129 × 1957777
2021-11-25712919577776,560,4200.67441.1848

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-11-25Ben Deloi-03078f20b68f243b88830005238600022891.23921.944.707%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-04-24sasaki3mate31002632640.018
2010-09-07LordJuliusvaio2642650.035
2012-05-19omiXorpLLB03-z800-072652660.070
2014-07-02GrunwalderGIMPcompute-0-22662670.139
2014-07-04GrunwalderGIMPcompute-0-02672680.279
2014-10-31shaugeManual testing2682713.903
2015-01-28SMoffatManual testing2712724.461
2020-03-28SRBaseManual testing2722738.921
2020-04-26bayanneGPU72_TF27327417.84
2021-04-10TheJudgerManual testing274276107.1


ECM factoring results:
No ECM results for M107216381


Lucas-Lehmer results:
No L-L results for M107216381


PRP results:
dateuseridcompidcofactorsres64
2021-12-12WRwr328ABA7657C2554460


CERT results:
No CERT results for M107216381


P-1 factor-bounds graph:
B1 = 883000, B2 = 52386000 (P-1 stage 2)
B1 = 883000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
276
274
273
272
271
268
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00