is 2 27775931 - 1
has 8361389 decimal digits
takes 25.712 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2694.298263.7681%285000344967002.88446.2113%7.182766.0186%2.2505%
PrimeNet2660.531762.1212%13000045000000.49415.2871%1.025864.1239%2.0027%
GPU722708.602864.2857%20000060000000.69263.9159%9.295465.6842%1.3985%
Difference-1-4.3046-0.5176%+85000+28496700+2.1918+2.2954%-2.1127+0.3343%+0.3343%

Known prime factors (4 factors, 190.4 bits, 0.00068533% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27775931344977063031135.006621
33 × 23
-27271.869e-103.624e-57.376e-5
277759311304913238391236.9252349
34 × 29
2008-09-0881814.972e-100.00010.0002
277759316202204665764231271859.10611164710673
4373 × 2553101
2015-10-26437325531010.00290.19230.3487
277759317200289722443149511859.32112961383225
3 × 52 × 72 × 151 × 23357
2015-11-11151233570.00330.00190.0032

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2777593145016513648874844572172271.931
27775931213961834990630729395028694812994.111
27775931248393480141353159410298361532994.327
27775931809333897555997059076460245532996.031
27775931939575337905952448976504168892996.246
2777593144657670511391143647165139802827177736118.426
27775931279201630989490760403514659711492085755940131.037
27775931324131940566215306202750337660223295136740131.252
277759311540587201478115489495187251457867305360991043147153.432
277759315827438544597302464058793812322429853001099190347155.352
2777593120103326341029950781115848226193288740815138300314
05064609
58190.357
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-19T22:33:37masserManual testing28500034496700-
skipped known factor: 34497706303
skipped known factor: 130491323839
skipped known factor: 620220466576423127
skipped known factor: 720028972244314951
--2.884--6.211%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T23:36:00Will EdgingtonManual testing??36.925121.67578e-1052.943.45061e-10
2015-10-26T12:51:37TJAOIManual testing259260*59.106180.00052.940.000
2015-11-11T11:55:41TJAOIManual testing259260*59.321180.00152.940.001
2022-08-10T19:28:59LordJuliusManual testing2126536.925124.97168e-1052.941.02372e-9
2022-08-10T19:28:59LordJuliusManual testing2126535.006111.86946e-1052.943.84943e-10
2022-08-10T19:28:59LordJuliusManual testing2126559.106180.00352.940.006
2022-08-10T19:28:59LordJuliusManual testing2126559.321180.00352.940.007
2022-08-10T19:28:59LordJuliusManual testing265266--0.269--
2022-08-10T19:28:59LordJuliusManual testing266267--0.538--
2022-08-10T19:28:59LordJuliusManual testing267268--1.076--
2022-08-03T12:34:05masserManual testing267269--3.228--


ECM factoring results:
No ECM results for M27775931


Lucas-Lehmer results:
No L-L results for M27775931


PRP results:
No PRP results for M27775931


P-1 factor-bounds graph:
B1 = 285000, B2 = 34496700 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
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TF factor-bounds graph:
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2
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Last modified: 2022-08-10T19:28:59+00:00