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
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual276139.698564.4737%5500000550000035.00143.2108%174.699965.6143%
Target276139.698564.4737%7000002400000012.53343.9861%152.231965.8898%
Difference---+4800000-18500000+22.4680-0.7753%+22.4680-0.2754%

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
2021-07-20Ernst W. MayerManual testing550000055000002478.46235.00961.670.003.211%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-04-29OS1corner263264--0.018--
2010-09-15sannerud.comJim2010264265--0.034--
2012-05-25GIMP Philippines265266--0.068--
2014-07-30g0bManual testing266267--0.136--
2014-09-01g0bManual testing267268--0.273--
2014-11-07SMoffatManual testing268269--0.546--
2014-11-16SMoffatManual testing269270--1.091--
2015-02-06SMoffatManual testing270271--2.183--
2019-01-21Niels_Mache_NextcloudManual testing271272--4.366--
2020-02-18Alvin BunkManual testing272273--8.731--
2020-08-28RichD0Manual testing273274--17.46--
2021-04-12TheJudgerManual testing274275--34.93--
2021-04-12TheJudgerManual 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
275
274
273
272
271
270
269
268
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67.7
250
260
270
280
Last modified: 2023-03-22T19:00:45+00:00