is 2 107731187 - 1
has 32430319 decimal digits
takes 441.847 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
Actual276142.057264.4737%7570002130600011.16003.9284%153.217265.8693%
Target276142.057264.4737%70000019200000066.14603.9780%208.203265.8869%
Difference---+57000-170694000-54.9860-0.0496%-54.9860-0.0176%

Known prime factors (1 factor, 76.4 bits, 0.00007092% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1077311871002543738340012981617112476.408465298752505165
5 × 172 × 103 × 709 × 4409411
2021-08-137094409411249.831.43272.6684

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-13LOBESpfaff757000213060002476.40811.16883.722.323.928%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-04-30KYOJI_KAMEIlinux-i7-920263264--0.018--
2010-09-08Architects Cubedm1_tt264265--0.035--
2012-05-19omiXorpLLB03-z800-24265266--0.069--
2013-09-20shengManual testing266267--0.139--
2013-09-21PascalBieriManual testing267268--0.277--
2013-09-23PascalBieriManual testing268269--0.555--
2015-04-28Judge HaleManual testing269270--1.110--
2015-04-28Judge HaleManual testing270271--2.220--
2015-04-28Judge HaleManual testing271272--4.439--
2020-02-15Niels_Mache_NextcloudManual testing272273--8.879--
2020-02-15Niels_Mache_NextcloudManual testing273274--17.76--
2021-03-06RichD0GPU72_TF274275--35.51--
2021-03-06RichD0GPU72_TF275276--71.03--


ECM factoring results:
No ECM results for M107731187


Lucas-Lehmer results:
No L-L results for M107731187


PRP results:
No PRP results for M107731187


P-1 factor-bounds graph:
B1 = 757000, B2 = 21306000 (P-1 stage 2)
B1 = 757000 (P-1 stage 1)
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106
101
102
103
104
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108
TF factor-bounds graph:
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275
274
273
272
271
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269
268
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67.9
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Last modified: 2023-07-11T14:45:05+00:00