is 2 27235249 - 1
has 8198627 decimal digits
takes 25.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAF77474E50DB5B1Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27235.113865.2778%32500086125001.04233.6669%36.156166.5510%1.2732%
PrimeNet2660.542362.1212%12000045000000.48145.2148%1.023664.0965%1.9753%
GPU722708.773664.2857%20000060000000.69263.9056%9.466265.6806%1.3949%
Difference+2+26.3402+0.9921%+125000+2612500+0.3497-0.2387%+26.6899+0.8704%+0.8704%

Known prime factors (1 factor, 67.7 bits, 0.00024861% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
272352492413076426932605808632167.7094430061254319
3 × 43 × 34341560111
2011-11-0643343415601111.51362,511.44,690.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-04-11T00:00:00ANONYMOUSv4_computers3250008612500---1.042--3.667%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2011-11-06T11:12:00Carsten KossendeyManual testing??67.709210.42351.390.861
2001-08-18T00:00:00Net_Forcev4_computers21256--0.000--
2004-04-09T00:00:00ANONYMOUSv4_computers21261--0.011--
2004-07-26T00:00:001997rj7v4_computers21262--0.023--
2004-11-03T00:00:00ITSv4_computers21267--1.091--
2005-12-24T00:00:00ITSv4_computers21267--1.091--
2011-11-06T11:12:00Carsten KossendeyManual testing267271--16.46--
2022-02-11T13:23:30masserManual testing271272--17.56--


ECM factoring results:
No ECM results for M27235249


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-05-12T00:00:00ANONYMOUSv4_computersAF77474E50DB5B1C25.21


PRP results:
No PRP results for M27235249


P-1 factor-bounds graph:
B1 = 325000, B2 = 8612500 (P-1 stage 2)
B1 = 325000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2022-02-11T13:23:30+00:00