is 2 110278657 - 1
has 33197184 decimal digits
takes 484.001 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
Actual276138.775764.4737%5500000550000035.00143.2133%173.777165.6152%
Target276138.775764.4737%7000002600000013.22684.0491%152.002565.9122%
Difference---+4800000-20500000+21.7746-0.8358%+21.7746-0.2969%

Known prime factors (1 factor, 89.8 bits, 0.00008144% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11027865710866357092675174068462502632889.8124926772499902303883
7 × 17 × 1759 × 378277 × 62221399		2021-12-24378277622213991,910,27523.85040.293

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-12-24pfrakesManual testing550000055000002889.81235.00968.070.003.213%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-04-30ValerieVonckOracle10g263264--0.018--
2010-09-18Donna NoblePH2-940-v3-MVB264265--0.034--
2012-05-26HBendtzHAL9006265266--0.068--
2014-12-02g0bManual testing266267--0.136--
2015-08-04SMoffatManual testing267268--0.271--
2015-08-13SMoffatManual testing268269--0.542--
2016-02-11sourcebinary.comManual testing269270--1.084--
2016-02-13el groccoManual testing270271--2.168--
2019-01-27Niels_Mache_NextcloudManual testing271272--4.337--
2020-02-10erick84mmManual testing272273--8.674--
2020-04-06Jan S.Manual testing273274--17.35--
2020-05-02tscManual testing274275--34.69--
2020-05-07KrieselManual testing275276--69.39--


ECM factoring results:
No ECM results for M110278657


Lucas-Lehmer results:
No L-L results for M110278657


PRP results:
No PRP results for M110278657


P-1 factor-bounds graph:
B1 = 5500000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
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
290
Last modified: 2023-03-25T13:08:14+00:00