is 2 53382619 - 1
has 16069770 decimal digits
takes 102.267 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
Actual27217.914763.8889%625000162500004.10094.9013%22.015665.6588%
Target27335.832764.3836%3600009600000015.47453.9152%51.307265.7780%
Difference-1-17.9180-0.4947%+265000-79750000-11.3736+0.9861%-29.2916-0.1192%

Known prime factors (1 factor, 68.1 bits, 0.00012753% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
533826193118651986629998867612168.0792921036889020
22 × 5 × 31 × 4711349821		2015-01-243147113498212.1104713.031,331.7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-11-13Xyzzy3a62500016250000---4.101--4.901%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-08ANONYMOUSv4_computers21253--2.24778e-5--
2000-01-12ANONYMOUSv4_computers21253--2.24778e-5--
2000-03-01ANONYMOUSv4_computers21254--4.49556e-5--
2000-05-24ANONYMOUSv4_computers21256--0.000--
2001-08-04ANONYMOUSv4_computers21257--0.000--
2002-07-06ANONYMOUSv4_computers21258--0.001--
2004-05-111997rj7v4_computers21260--0.003--
2008-09-22ANONYMOUSManual testing21264--0.067--
2008-12-19David Barleyold_ken264265--0.070--
2008-12-20James Hintz6265266--0.140--
2008-12-23James Hintz6266267--0.280--
2009-05-19jfarekCarnegie16267268--0.560--
2010-11-13sannerud.comJimEmcLap268269--1.120--
2015-01-24Mark RoseManual testing268269*68.079210.994240.92.341
2011-05-23XyzzyManual testing269270--2.240--
2012-01-16XyzzyManual testing270271--4.480--
2012-01-16XyzzyManual testing271272--8.959--


ECM factoring results:
No ECM results for M53382619


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2013-02-18Viacheslav Chernetskiylarisa9E644EA1EB1F8E__102.3
2013-12-27curtiscgrn209--10l9E644EA1EB1F8E__102.3


PRP results:
No PRP results for M53382619


P-1 factor-bounds graph:
B1 = 625000, B2 = 16250000 (P-1 stage 2)
B1 = 625000 (P-1 stage 1)
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1010
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