is 2 52733041 - 1
has 15874228 decimal digits
takes 101.023 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
Actual27218.135463.8889%520000109200003.01844.4397%21.153865.4921%
Target27336.274164.3836%3600009600000015.47453.9091%51.748665.7758%
Difference-1-18.1387-0.4947%+160000-85080000-12.4561+0.5306%-30.5948-0.2837%

Known prime factors (1 factor, 68.8 bits, 0.00013053% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
527330415251481225261149162732168.8314979308158296
23 × 31 × 6053 × 3317009		2012-01-05605333170091.85080.51790.9376

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-05Jerry HallettP1Main520000109200002168.8313.018202.06.0374.440%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-01ANONYMOUSv4_computers21253--2.27547e-5--
2000-01-04ANONYMOUSv4_computers21253--2.27547e-5--
2000-02-23ANONYMOUSv4_computers21254--4.55093e-5--
2000-05-10ANONYMOUSv4_computers21256--0.000--
2001-07-07ANONYMOUSv4_computers21257--0.000--
2002-05-18ANONYMOUSv4_computers21258--0.001--
2003-12-021997rj7v4_computers21259--0.001--
2004-03-261997rj7v4_computers21260--0.003--
2008-04-24ANONYMOUSv4_computers21263--0.030--
2008-11-13DerekManual testing21264--0.067--
2009-02-11dgriffie79264265--0.071--
2009-02-12dgriffie79265266--0.142--
2009-02-13dgriffie79266267--0.283--
2009-04-24Corranrri7267268--0.567--
2010-03-28sannerud.comJimEmcLap268269--1.134--
2011-11-28BdotManual testing269270--2.267--
2011-12-17XyzzyManual testing270271--4.535--
2011-12-17XyzzyManual testing271272--9.069--


ECM factoring results:
No ECM results for M52733041


Lucas-Lehmer results:
No L-L results for M52733041


PRP results:
No PRP results for M52733041


P-1 factor-bounds graph:
B1 = 520000, B2 = 10920000 (P-1 stage 2)
B1 = 520000 (P-1 stage 1)
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108
TF factor-bounds graph:
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this exponent TF target: 73
TF double-checked to: 67.8
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Last modified: 2023-06-05T21:50:05+00:00