is 2 52744631 - 1
has 15877717 decimal digits
takes 101.045 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
Actual2704.530362.8571%8550008550002.37502.8476%6.905463.9148%
Target27336.266164.3836%3600009600000015.47453.9092%51.740765.7759%
Difference-3-31.7358-1.5264%+495000-95145000-13.0995-1.0616%-44.8353-1.8611%

Known prime factors (1 factor, 68.6 bits, 0.00013002% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
527446314414189461657593762472168.5814184491746333
3 × 1394830582111		2015-01-22313948305821111.3884211,099394,273

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-05-23curtisccsc143-22l855000855000---2.375--2.848%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-01ANONYMOUSv4_computers21253--2.27497e-5--
2000-01-04ANONYMOUSv4_computers21253--2.27497e-5--
2000-02-23ANONYMOUSv4_computers21254--4.54993e-5--
2000-05-10ANONYMOUSv4_computers21256--0.000--
2001-07-07ANONYMOUSv4_computers21257--0.000--
2002-05-25ANONYMOUSv4_computers21258--0.001--
2003-12-131997rj7v4_computers21259--0.001--
2004-03-261997rj7v4_computers21260--0.003--
2008-04-24ANONYMOUSv4_computers21263--0.030--
2008-11-19DerekManual testing21264--0.067--
2008-12-14delongstella264265--0.071--
2008-12-15Sturle Sundetristan.ifi265266--0.142--
2008-12-20Dmitry V. Shubertovpe6850266267--0.283--
2009-04-22T-erT-omputer267268--0.567--
2010-03-28sannerud.comJimEmcLap268269--1.133--
2015-01-22Mark RoseManual testing268269*68.581210.258238.90.611
2014-10-22NesowaManual testing269270--2.267--


ECM factoring results:
No ECM results for M52744631


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2011-07-30curtisccsc143-22lF0AA6EE46EAF33__101.0


PRP results:
No PRP results for M52744631


P-1 factor-bounds graph:
B1 = 855000 (P-1 stage 1)
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105
106
100
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1010
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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