is 2 54219401 - 1
has 16321667 decimal digits
takes 107.121 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE81B90A50E3E9F6Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27470.562764.8649%755000167987504.66704.1775%75.229766.3326%1.4678%
PrimeNet2692.201962.3188%240000100000002.21095.3460%4.412864.3333%2.0145%
GPU7227335.279764.3836%360000120000002.84813.9229%38.127865.7808%1.3972%
Difference+1+35.2830+0.4813%+395000+4798750+1.8189+0.2545%+37.1019+0.5519%+0.5519%

Known prime factors:
No known factors for M54219401

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-05-23T12:32:00hustensaftW7hm2450004348750---1.342--2.694%
2018-07-04T00:37:58Architects Cubeda3_bu27550001679875012---4.667--4.177%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-08T00:00:00ANONYMOUSv4_computers21253--2.21309e-5--
2000-01-12T00:00:00ANONYMOUSv4_computers21253--2.21309e-5--
2000-03-01T00:00:00ANONYMOUSv4_computers21254--4.42618e-5--
2000-05-31T00:00:00ANONYMOUSv4_computers21256--0.000--
2001-08-26T00:00:00ANONYMOUSv4_computers21257--0.000--
2002-08-31T00:00:00ANONYMOUSv4_computers21258--0.001--
2003-04-27T00:00:00oerwinv4_computers21259--0.001--
2003-11-28T00:00:00oerwinv4_computers21262--0.011--
2008-05-10T00:00:00ANONYMOUSv4_computers21263--0.029--
2008-12-15T00:25:001997rj7Manual testing21264--0.066--
2008-12-24T13:17:00AlJomar264265--0.069--
2008-12-25T11:08:00Sturle Sundegouffy.ifi265266--0.138--
2008-12-26T08:33:00Sturle Sundegouffy.ifi266267--0.276--
2009-05-18T01:55:00dmbleess2008desktop267268--0.551--
2011-04-06T18:18:00ANONYMOUS268269--1.103--
2011-07-22T20:18:00TheJudgerManual testing269270--2.205--
2011-09-08T01:46:00XyzzyManual testing270271--4.410--
2012-05-17T17:31:00bcp19Manual testing271272--8.821--
2016-02-14T06:05:17AirSquirrelsManual testing272273--17.64--
2019-08-02T21:34:06Jon PaceManual testing273274--35.28--


ECM factoring results:
No ECM results for M54219401


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2014-02-06T04:58:00curtiscjckl-4577lE81B90A50E3E9F6A107.1
2020-09-07T13:43:29jpldudessleec.jpl.nasa.govE81B90A50E3E9F6A107.1


PRP results:
No PRP results for M54219401


P-1 factor-bounds graph:
B1 = 755000, B2 = 16798750 (P-1 stage 2)
B1 = 755000 (P-1 stage 1)
B1 = 245000, B2 = 4348750 (P-1 stage 2)
B1 = 245000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-09-07T13:43:29+00:00