is 2 27315269 - 1
has 8222716 decimal digits
takes 25.286 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L550B80D8B5D302F4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27117.502264.7887%32500080437501.00074.0060%18.502966.1993%1.4106%
PrimeNet2660.540762.1212%12000045000000.48145.2168%1.022064.0973%1.9761%
GPU722708.747964.2857%20000060000000.69263.9072%9.440565.6811%1.3954%
Difference+1+8.7544+0.5030%+125000+2043750+0.3081+0.0989%+9.0625+0.5182%+0.5182%

Known prime factors (1 factor, 68.6 bits, 0.00025104% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
273152694390631350933916837932168.5738036954259784
23 × 1004619282473
2018-04-16810046192824732.468273,468137,217

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-09-04T00:00:00ANONYMOUSv4_computers3250008043750---1.001--4.006%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-11-05T00:00:00Jocelyn Larouchev4_computers21254--8.78573e-5--
2001-08-18T00:00:00Net_Forcev4_computers21256--0.000--
2004-04-09T00:00:00ANONYMOUSv4_computers21261--0.011--
2004-07-26T00:00:00ANONYMOUSv4_computers21262--0.022--
2004-10-18T00:00:00foxkidv4_computers21267--1.088--
2011-10-05T10:09:00Carsten KossendeyManual testing267268--1.094--
2018-04-16T11:49:02VictordeHollanderManual testing26826968.573210.28651.530.583
2022-02-05T17:47:05masserManual testing269270--4.377--
2022-02-14T13:38:22masserManual testing270271--8.754--


ECM factoring results:
No ECM results for M27315269


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2007-01-16T00:00:00ANONYMOUSv4_computers550B80D8B5D302F425.29
2011-11-05T14:22:00lindedW88200JPYK0-cyert550B80D8B5D302F425.29


PRP results:
No PRP results for M27315269


P-1 factor-bounds graph:
B1 = 325000, B2 = 8043750 (P-1 stage 2)
B1 = 325000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-14T13:38:22+00:00