is 2 109244173 - 1
has 32885773 decimal digits
takes 479.461 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
Actual276140.089864.4737 %7950002391800013.07654.0471 %153.166365.9115 %
Target276140.089864.4737 %70000012000000045.81873.9847 %185.908565.8893 %
Difference---+95000-96082000-32.7421+0.0624%-32.7421+0.0222 %

Known prime factors (1 factor, 78.7 bits, 0.00007208% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1092441735053700469406114342960812478.7422313029761965480
23 × 3 × 5 × 1637 × 4079 × 2886673
2021-09-0640792886673684.081.02541.8694

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-09-06GIMPS-PRIMAMD-64-WIN6479500023918000622478.74213.084.047%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-04-28subgeniusgigacare2632640.018
2010-09-13sasaki3MATE_J2642650.034
2012-05-25omiXorpLLB03-z800-152652660.068
2013-09-27g0bManual testing2662670.137
2013-10-03ANONYMOUS2672680.274
2014-07-23Ordinalux Inc.Manual testing2682690.547
2014-07-23ANONYMOUSManual testing2682690.547
2014-11-06shaugeManual testing2692713.283
2019-01-27Niels_Mache_NextcloudManual testing2712724.378
2020-02-26DOCUSTOMPCManual testing2722738.756
2020-03-13tscManual testing27327417.51
2021-04-26TheJudgerManual testing274276105.1


ECM factoring results:
No ECM results for M109244173


Lucas-Lehmer results:
No L-L results for M109244173


PRP results:
No PRP results for M109244173


CERT results:
No CERT results for M109244173


P-1 factor-bounds graph:
B1 = 795000, B2 = 23918000 (P-1 stage 2)
B1 = 795000 (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
269
268
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00