is 2 110749129 - 1
has 33338810 decimal digits
takes 486.066 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
Actual277276.373964.9351%522000196770009.96343.3466%286.337366.1086%
Target276138.186164.4737%7000002600000013.22684.0512%151.412965.9129%
Difference+1+138.1877+0.4614%-178000-6323000-3.2634-0.7045%+134.9244+0.1956%

Known prime factors (1 factor, 84.8 bits, 0.00007661% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
110749129347586080750636031362386312684.846156924972633706235
5 × 7 × 37 × 10132 × 1571 × 75167		2022-03-131026169102616935,6446.530413.291

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-03-12Ryan PropperManual testing522000196770002684.8469.96972.119.933.347%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-07-01Donna NoblePH9500263264--0.018--
2010-09-19Mr-Plonklinux-i7-920264265--0.034--
2012-05-27OS1L7265266--0.067--
2013-10-01instant28Manual testing266267--0.135--
2013-10-03Koekieesx37267268--0.270--
2014-11-28g0bManual testing268269--0.540--
2015-07-30Judge HaleManual testing269270--1.080--
2015-09-14g0bManual testing270271--2.159--
2019-01-25Niels_Mache_NextcloudManual testing271272--4.318--
2020-04-10GROBERTSManual testing272273--8.637--
2020-06-27David HruskaManual testing273274--17.27--
2021-05-09Yves de WandelaarManual testing274275--34.55--
2021-05-09Yves de WandelaarManual testing275276--69.09--
2021-06-20David HruskaManual testing276277--138.2--


ECM factoring results:
No ECM results for M110749129


Lucas-Lehmer results:
No L-L results for M110749129


PRP results:
No PRP results for M110749129


P-1 factor-bounds graph:
B1 = 522000, B2 = 19677000 (P-1 stage 2)
B1 = 522000 (P-1 stage 1)
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107
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108
TF factor-bounds graph:
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274
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271
270
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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