is 253297821-1
has 16,044,243 decimal digits
takes 102.105 GHz-days to do one L-L test
Last-known PrimeNet details:
1 L-L tests remaining
ResidueStatus
L-L81BF0BFA824157__
needs double-check
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275143.568965.3333%5,000,000200,000,00043.40117.0289%186.970072.3622%10.0434%
PrimeNet2692.240062.3188%240,00010,000,0002.14385.3346%4.383867.6535%5.3346%
GPU7227335.889764.3836%360,00012,000,0002.76173.9144%38.651468.2979%3.9144%
Difference+2+107.6792+0.9498%+4,640,000+188,000,000+40.6395+3.1145%+148.3186+4.0643%+4.0643%

Known prime factors (1 factor, 138.1 bits, 0.00025908% known):
Remaining cofactor is PRP status unknown

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
5329782136995292560653294237360319951748071727179942138.0863470619611320816871421471428611319
41 × 101 × 423457 × 432001 × 625627 × 1223773 × 5983997
1,223,7735,983,9972020-08-053.597e+94.11996.9184

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-10-12T06:19:00TheJudgerSinope635,00019,367,500---4.599--3.810%
2020-08-05T18:51:53Jan S.SATURN5,000,000200,000,0001242138.08643.40204.286.807.029%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-08T00:00:00ANONYMOUSv4_computers?253--2.25135e-5--
2000-01-12T00:00:00ANONYMOUSv4_computers?253--2.25135e-5--
2000-03-01T00:00:00ANONYMOUSv4_computers?254--4.50271e-5--
2000-05-24T00:00:00ANONYMOUSv4_computers?256--0.000--
2001-08-04T00:00:00ANONYMOUSv4_computers?257--0.000--
2002-06-29T00:00:00ANONYMOUSv4_computers?258--0.001--
2004-04-29T00:00:001997rj7v4_computers?260--0.001--
2008-08-11T01:18:00ANONYMOUSManual testing?264--0.037--
2008-12-17T17:02:00James Hintz13264265--0.070--
2009-02-17T00:11:00glennpatLinux-7265266--0.140--
2009-02-20T02:46:00Pi_RhoStrongbad266267--0.280--
2009-05-01T11:17:00bladerunnerNebuchadnezzar267268--0.561--
2010-10-17T22:57:00SAHS Physics Clubphysicsclub8268269--1.122--
2011-05-24T21:28:00Åke TilanderPC11-116-03269270--2.243--
2012-01-16T02:57:00XyzzyManual testing270271--4.487--
2012-01-16T02:57:00XyzzyManual testing271272--8.973--
2016-02-10T04:05:18AirSquirrelsManual testing272273--17.95--
2019-01-20T10:02:02Mark RoseManual testing273274--35.89--
2020-06-22T10:33:35-Anonymous-Manual testing274275--71.79--


ECM factoring results:
Exponent "53297821" not found


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2013-11-08T13:58:00acrussell81BF0BFA824157__102.1


PRP results:
Exponent "53297821" not found


P-1 factor-bounds graph:
B1 = 5,000,000, B2 = 200,000,000 (stage 2)
B1 = 5,000,000 (stage 1)
B1 = 635,000, B2 = 19,367,500 (stage 2)
B1 = 635,000 (stage 1)
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TF factor-bounds graph:
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Last modified: 2020-08-05T18:51:53+00:00