is 2 27315259 - 1
has 8222713 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-LFFAA276FCB07240Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27117.502264.7887%4150004150000.55701.7286%18.059365.3974%0.6087%
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%+215000-5585000-0.1356-2.1786%+8.6188-0.2837%-0.2837%

Known prime factors (1 factor, 67.3 bits, 0.00024627% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
273152591779420526453772570092167.2703257191386056
23 × 407148923257
2011-10-0584071489232571.669529,77555,611

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-11-13T00:00:00Fabrice Belletv4_computers415000415000---0.557--1.729%
2011-10-05T10:10:00Carsten KossendeyManual testing4150004150002167.2700.55750.571.1141.729%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-11-05T00:00:00Jocelyn Larouchev4_computers21254--8.78574e-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--
2005-01-20T00:00:00Vaxmanv4_computers21267--1.088--
2011-10-05T10:09:00Carsten KossendeyManual testing267271--16.41--


ECM factoring results:
No ECM results for M27315259


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-12-12T00:00:00Fabrice Belletv4_computersFFAA276FCB07240A25.29


PRP results:
No PRP results for M27315259


P-1 factor-bounds graph:
B1 = 415000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2011-10-05T10:10:07+00:00