is 2 27133969 - 1
has 8168139 decimal digits
takes 25.118 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCD8DAF5C4CCBE0D9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27235.244965.2778%1350000891000008.22926.5941%43.474167.5674%2.2896%
PrimeNet2660.544362.1212%12000045000000.48145.2122%1.025764.0955%1.9743%
GPU722708.806364.2857%20000060000000.69263.9037%9.498965.6799%1.3942%
Difference+2+26.4386+0.9921%+1150000+83100000+7.5366+2.6904%+33.9751+1.8875%+1.8875%

Known prime factors:
No known factors for M27133969

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-01-10T00:00:00ANONYMOUSv4_computers420000420000---0.564--1.540%
2021-03-09T00:14:19firejugglerMaison135000089100000---8.229--6.594%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-18T00:00:00Net_Forcev4_computers21256--0.000--
2002-08-31T00:00:00Jocelyn Larouchev4_computers21257--0.001--
2004-03-16T00:00:00ANONYMOUSv4_computers21262--0.023--
2004-10-03T00:00:00bald2718281828v4_computers21267--1.095--
2011-11-15T00:10:00Carsten KossendeyManual testing267268--1.102--
2011-11-21T11:08:00David CampeauManual testing268269--2.203--
2017-03-22T21:41:17ramgeisManual testing269270--4.406--
2021-02-18T19:25:09mikrManual testing270271--8.813--
2021-04-24T02:40:04Sid & AndyManual testing271272--17.63--


ECM factoring results:
No ECM results for M27133969


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-07-25T00:00:00Andi47v4_computersCD8DAF5C4CCBE0D925.12
2012-02-25T22:26:00rpaliJimmyCD8DAF5C4CCBE0D925.12


PRP results:
No PRP results for M27133969


P-1 factor-bounds graph:
B1 = 1350000, B2 = 89100000 (P-1 stage 2)
B1 = 1350000 (P-1 stage 1)
B1 = 420000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-04-24T02:40:04+00:00