is 2 27267683 - 1
has 8208391 decimal digits
takes 25.242 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7C8F1B172A58D756double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27235.072165.2778%4200004200000.56371.5416%35.635865.8130%0.5353%
PrimeNet2660.541662.1212%12000045000000.48145.2156%1.023064.0968%1.9756%
GPU722708.763164.2857%20000060000000.69263.9062%9.455765.6808%1.3951%
Difference+2+26.3089+0.9921%+220000-5580000-0.1289-2.3647%+26.1801+0.1322%-0.8598%

Known prime factors (1 factor, 67.7 bits, 0.00024820% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
272676832363362223417708783592167.6794333632277113
32 × 481514697457
2011-10-2194815146974571.524635,21365,768

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-07-17T00:00:00ANONYMOUSv4_computers420000420000---0.564--1.542%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2011-10-21T17:10:00Carsten KossendeyManual testing??67.679210.43551.450.886
2001-08-18T00:00:00Net_Forcev4_computers21256--0.000--
2004-04-09T00:00:00ANONYMOUSv4_computers21261--0.011--
2004-07-13T00:00:001997rj7v4_computers21262--0.023--
2004-11-03T00:00:00ANONYMOUSv4_computers21267--1.090--
2011-10-21T17:10:00Carsten KossendeyManual testing267271--16.44--
2022-02-12T23:44:54masserManual testing271272--17.54--


ECM factoring results:
No ECM results for M27267683


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-06-13T00:00:00Lees-McRae Collegev4_computers7C8F1B172A58D75625.24


PRP results:
No PRP results for M27267683


P-1 factor-bounds graph:
B1 = 420000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-12T23:44:54+00:00