is 2 27256601 - 1
has 8205055 decimal digits
takes 25.231 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L974C246F6362C2C0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27235.086365.2778%32000073600000.94443.5429%36.030766.5079%1.2302%
PrimeNet2660.541862.1212%12000045000000.48145.2153%1.023264.0967%1.9755%
GPU722708.766764.2857%20000060000000.69263.9060%9.459365.6807%1.3950%
Difference+2+26.3196+0.9921%+120000+1360000+0.2518-0.3632%+26.5714+0.8272%+0.8272%

Known prime factors (1 factor, 68.0 bits, 0.00024948% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
272566012951574423079349878312168.000055414421304915
5 × 7 × 643 × 240587483
2011-10-306432405874833.067417.59532.861

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-01-10T00:00:00ANONYMOUSv4_computers3200007360000---0.944--3.543%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2011-10-30T12:13:00Carsten KossendeyManual testing??68.00005210.88151.431.795
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--
2004-10-18T00:00:00ANONYMOUSv4_computers21267--1.090--
2011-10-30T12:13:00Carsten KossendeyManual testing267271--16.45--
2022-02-12T03:46:49masserManual testing271272--17.55--


ECM factoring results:
No ECM results for M27256601


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-02-02T00:00:00ANONYMOUSv4_computers974C246F6362C2C025.23


PRP results:
No PRP results for M27256601


P-1 factor-bounds graph:
B1 = 320000, B2 = 7360000 (P-1 stage 2)
B1 = 320000 (P-1 stage 1)
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TF factor-bounds graph:
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2
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2100
Last modified: 2022-02-12T03:46:49+00:00