is 2 110679851 - 1
has 33317956 decimal digits
takes 485.762 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
Actual277276.546964.9351%7650002271700012.47963.6310%289.026566.2083%
Target276138.272664.4737%7000002600000013.22684.0509%151.499465.9128%
Difference+1+138.2742+0.4614%+65000-3283000-0.7472-0.4199%+137.5271+0.2955%

Known prime factors (1 factor, 84.8 bits, 0.00007666% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
110679851348202955797287606322654392684.848157301872315173069
3 × 11 × 37 × 173 × 29363 × 25361311		2021-11-14293632536131153,8568.970016.423

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-11-11ManuelJCi9-9940x76500022717000122684.84812.48971.524.963.631%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-05Carsten Kossendeydurandal263264--0.018--
2010-09-19Donna Nobleph2-940-1264265--0.034--
2012-05-27omiXorpLLB03-z800-24265266--0.068--
2013-10-01RobishManual testing266267--0.135--
2013-10-02RobishManual testing267268--0.270--
2013-10-04RobishManual testing268269--0.540--
2013-10-07RobishManual testing269270--1.080--
2013-10-13RobishManual testing270271--2.161--
2019-01-25Niels_Mache_NextcloudManual testing271272--4.321--
2020-02-03Alvin BunkManual testing272273--8.642--
2020-06-27David HruskaManual testing273274--17.28--
2021-05-09TheJudgerManual testing274275--34.57--
2021-05-09TheJudgerManual testing275276--69.14--
2021-08-17David HruskaManual testing276277--138.3--


ECM factoring results:
No ECM results for M110679851


Lucas-Lehmer results:
No L-L results for M110679851


PRP results:
No PRP results for M110679851


P-1 factor-bounds graph:
B1 = 765000, B2 = 22717000 (P-1 stage 2)
B1 = 765000 (P-1 stage 1)
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108
TF factor-bounds graph:
277
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275
274
273
272
271
270
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268
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266
265
264
this exponent TF target: 76
TF double-checked to: 67.7
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Last modified: 2023-03-25T13:08:14+00:00