is 2 101358317 - 1
has 30511894 decimal digits
takes 403.568 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
Actual276150.989064.4737 %8450008450004.87851.6026 %155.867565.0430 %
Target276150.989064.4737 %65000011000000038.14833.8468 %189.137365.8403 %
Difference---+195000-109155000-33.2698-2.2441 %-33.2698-0.7973 %

Known prime factors (1 factor, 86.6 bits, 0.00008545% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1013583171184184539847957561600863692786.614584157558500087152
24 × 7 × 223 × 2579 × 70709 × 128257
2020-11-2970709128257284,8660.42630.8308

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-11-29Ben Deloi-0205ccffc43be50bc84500084500012786.6144.6731.603%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-03-291997rj7Manual testing2632640.019
2010-08-13sasaki3mate_ma12642650.037
2012-04-15bcp19Turion_x22652660.074
2013-10-24JMGarciafjcanizares2662680.442
2013-10-26roemer2201HPCC2682690.590
2014-03-29hkskypManual testing2692701.180
2014-04-06ANONYMOUSManual testing2702712.359
2014-04-06PascalBieriManual testing2702712.359
2014-12-06RichD0Manual testing2712724.718
2020-03-22el groccoGPU72_TF2722739.437
2020-03-30SRBaseManual testing27327418.87
2020-10-03LOBESGPU72_TF27427537.75
2020-10-03linamentGPU72_TF27527675.50


ECM factoring results:
No ECM results for M101358317


Lucas-Lehmer results:
No L-L results for M101358317


PRP results:
No PRP results for M101358317


CERT results:
No CERT results for M101358317


P-1 factor-bounds graph:
B1 = 845000 (P-1 stage 1)
103
104
105
106
103
104
105
106
TF factor-bounds graph:
276
275
274
273
272
271
270
269
268
266
265
264
this exponent TF target: 76
TF double-checked to: 67
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00