is 2 109255343 - 1
has 32889136 decimal digits
takes 479.510 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
Actual277280.152664.9351 %8110003309400016.35433.9210 %296.506966.3100 %
Target276140.075564.4737 %70000012000000045.81873.9848 %185.894265.8893 %
Difference+1+140.0771+0.4614 %+111000-86906000-29.4643-0.0638 %+110.6128+0.4206 %

Known prime factors (1 factor, 106.2 bits, 0.00009722% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1092553439437114013122567262158699749879332106.218431883409725900877092972
22 × 3 × 132 × 3511 × 28069 × 122201 × 17683411
2022-03-10122201176834111.489e+96.866511.451

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-03-10Ryan PropperManual testing81100033094000232106.21816.354.307%


Trial Factoring results:
575859606162636465666768697071727374757677
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-04-28ANONYMOUS599gtb2632640.018
2010-09-13Mr-Plonklinux-i7-9202642650.034
2012-07-23Mr-PlonkLinux-i72652660.068
2013-09-27g0bManual testing2662670.137
2013-10-03ANONYMOUS2672680.274
2013-10-09ANONYMOUS2682690.547
2014-11-01shaugeManual testing2692713.283
2019-01-27Niels_Mache_NextcloudManual testing2712724.377
2020-03-26La GüiraManual testing2722738.755
2020-08-04gcardonaManual testing27327417.51
2021-04-27LaurVManual testing274276105.1
2022-03-07tServoManual testing276277140.1


ECM factoring results:
No ECM results for M109255343


Lucas-Lehmer results:
No L-L results for M109255343


PRP results:
No PRP results for M109255343


CERT results:
No CERT results for M109255343


P-1 factor-bounds graph:
B1 = 811000, B2 = 33094000 (P-1 stage 2)
B1 = 811000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
277
276
274
273
272
271
269
268
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67
250
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2110
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Last modified: 2024-03-13T02:15:48+00:00