is 2 109550167 - 1
has 32977887 decimal digits
takes 480.804 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual276139.698564.4737%5500000550000035.00143.2108%174.699965.6143%1.1407%
PrimeNet2728.729662.5000%4500002400000011.02915.5048%19.758764.5643%2.0643%
GPU72276139.698564.4737%7000002400000012.53343.9861%152.231965.8898%1.4161%
Difference---+4800000-18500000+22.4680-0.7753%+22.4680-0.2754%-0.2754%

Known prime factors (1 factor, 78.5 bits, 0.00007162% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1095501674163689859557617795643132478.4621900357604912468
22 × 13 × 3821099 × 9564091
2021-07-2038210999564091625.0826.30849.489

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-07-20T13:19:12Ernst W. MayerManual testing550000055000002478.46235.00961.670.003.211%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-04-29T03:43:00OS1corner263264--0.018--
2010-09-15T00:15:00sannerud.comJim2010264265--0.034--
2012-05-25T12:43:00GIMP Philippines265266--0.068--
2014-07-30T07:22:00g0bManual testing266267--0.136--
2014-09-01T07:37:00g0bManual testing267268--0.273--
2014-11-07T01:02:00SMoffatManual testing268269--0.546--
2014-11-16T02:23:00SMoffatManual testing269270--1.091--
2015-02-06T03:09:00SMoffatManual testing270271--2.183--
2019-01-21T21:15:03Niels_Mache_NextcloudManual testing271272--4.366--
2020-02-18T14:25:14Alvin BunkManual testing272273--8.731--
2020-08-28T16:17:31RichD0Manual testing273274--17.46--
2021-04-12T20:23:14TheJudgerManual testing274275--34.93--
2021-04-12T20:23:14TheJudgerManual testing275276--69.85--


ECM factoring results:
No ECM results for M109550167


Lucas-Lehmer results:
No L-L results for M109550167


PRP results:
No PRP results for M109550167


P-1 factor-bounds graph:
B1 = 5500000 (P-1 stage 1)
105
106
107
105
106
107
TF factor-bounds graph:
276
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274
273
272
271
270
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266
265
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2100
Last modified: 2021-07-20T13:19:12+00:00