is 2 68843609 - 1
has 20723992 decimal digits
takes 184.061 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27213.891462.5000%715000164450006.09435.1352%19.985764.4257%
Target27455.573363.5135%45000012000000026.99533.9417%82.568664.9517%
Difference-2-41.6819-1.0135%+265000-103555000-20.9010+1.1935%-62.5829-0.5260%

Known prime factors (2 factors, 146.8 bits, 0.00021321% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6884360974383632908765451797832272.65554023629781499
3 × 7 × 457 × 6131 × 918157		2014-04-05613191815722.6700.21640.3622
68843609205819718443867691028072374.124149483533354467
3 × 132 × 17 × 2557 × 6782749		2014-04-052557678274973.2201.44202.6757

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2014-04-05Sid & AndyEtch7150001644500045146.7796.094368.112.195.135%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20Jocelyn Larouchev4_computers21256--0.000--
2004-03-26mdrgv4_computers21261--0.004--
2009-01-061997rj7Manual testing21264--0.052--
2010-01-23BShome1264265--0.054--
2010-04-08ANONYMOUSknuerr265266--0.109--
2010-04-13symalladold_laptop266267--0.217--
2010-04-22ANONYMOUS267268--0.434--
2010-05-04PVasilevrtvctextrip1268269--0.868--
2012-08-15vats09Semp_7_64269270--1.737--
2013-04-28ANONYMOUSManual testing270271--3.473--
2013-04-28ANONYMOUSManual testing271272--6.947--


ECM factoring results:
No ECM results for M68843609


Lucas-Lehmer results:
No L-L results for M68843609


PRP results:
No PRP results for M68843609


P-1 factor-bounds graph:
B1 = 715000, B2 = 16445000 (P-1 stage 2)
B1 = 715000 (P-1 stage 1)
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104
105
106
102
103
104
105
106
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108
TF factor-bounds graph:
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271
270
269
268
267
266
265
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256
this exponent TF target: 74
TF double-checked to: 67.9
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Last modified: 2023-07-11T14:45:05+00:00