is 2 110281357 - 1
has 33197997 decimal digits
takes 484.013 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
Actual276138.772364.4737%5500000550000035.00143.2133%173.773765.6152%
Target276138.772364.4737%7000002600000013.22684.0491%151.999165.9122%
Difference---+4800000-20500000+21.7746-0.8358%+21.7746-0.2969%

Known prime factors (1 factor, 102.4 bits, 0.00009290% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
110281357691436828863775835705089387216931102.44731348763185049302381412
22 × 317 × 448531 × 1545169 × 35672431		2021-12-131545169356724311.720e+921.66623.101

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-12-13pfrakesManual testing5500000550000031102.44735.00968.070.003.213%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-04EPF263264--0.018--
2010-09-17Mr-Plonklinux-i7-920264265--0.034--
2012-05-26sasaki3MATE_J2265266--0.068--
2014-12-02g0bManual testing266267--0.136--
2015-08-02Ilya AlexandrovManual testing267268--0.271--
2015-08-02Ilya AlexandrovManual testing268269--0.542--
2015-08-02Ilya AlexandrovManual testing269270--1.084--
2015-08-02Ilya AlexandrovManual testing270271--2.168--
2015-08-02Ilya AlexandrovManual testing271272--4.337--
2020-02-10erick84mmManual testing272273--8.673--
2020-04-04Jan S.Manual testing273274--17.35--
2020-05-01tscManual testing274275--34.69--
2020-05-09KrieselManual testing275276--69.39--


ECM factoring results:
No ECM results for M110281357


Lucas-Lehmer results:
No L-L results for M110281357


PRP results:
No PRP results for M110281357


P-1 factor-bounds graph:
B1 = 5500000 (P-1 stage 1)
105
106
107
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
2100
2110
Last modified: 2023-03-25T13:08:14+00:00