is 2 809 - 1
has 244 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26736,729.193585.0746%300000000042900000000.05879.6166%36,729.252286.5099%
Target2440.002977.2727%500500000.00000.5644%0.002977.4010%
Difference+23+36,729.1906+7.8019%+2999999500+4289950000+0.0587+9.0522%+36,729.2493+9.1089%

Known prime factors (2 factor, 809.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
80941483867312606056475251865474888423964616257742413
27567978137		61201.36825638978561561221554543798192143648927451333586163
95283052
22 × 7 × 11 × 13 × 10259 × 84901891 × 9555761951 × 76934110169508044354213761075877		-9555761951769341101695080443542137610758772.327e+148.019e+191.498e+20
809
click to show decimal representation
183607.632

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-04ANONYMOUSv4_computers1000000100000000---0.000--3.071%
2001-02-11ANONYMOUSv4_computers1000000100000000---0.000--3.071%
2001-02-11ANONYMOUSv4_computers100000001000000000---0.001--6.103%
2001-05-13ANONYMOUSv4_computers30000000004290000000---0.059--9.617%
2002-03-03ANONYMOUSv4_computers1000000100000000---0.000--3.071%
2002-03-31ANONYMOUSv4_computers32212254724290000000---0.063--9.609%
2002-04-14ANONYMOUSv4_computers42900000004290000000---0.082--9.570%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-01Alex Kruppav4_computers251253--1.112--
1999-11-10ANONYMOUSv4_computers253254--1.483--
2000-01-12ANONYMOUSv4_computers254255--2.966--
2000-06-28ANONYMOUSv4_computers21256--11.87--
2001-06-03ANONYMOUSv4_computers21257--23.73--


ECM factoring results:
No ECM results for M809


Lucas-Lehmer results:
No L-L results for M809


PRP results:
No PRP results for M809


P-1 factor-bounds graph:
B1 = 4290000000 (P-1 stage 1)
B1 = 3221225472, B2 = 4290000000 (P-1 stage 2)
B1 = 3221225472 (P-1 stage 1)
B1 = 3000000000, B2 = 4290000000 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 10000000, B2 = 1000000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67.9
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Last modified: 2023-10-02T12:12:48+00:00