is 242349-1
has 12,749 decimal digits
takes 0.000 GHz-days to do one L-L test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-LE431DB0C2B6E881Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26337.687274.6032%1,000,000,000102,851,514,613,6805,801.518533.3132%5,839.2057107.9163%47.9163%
PrimeNet2400.000060.0000%50010,0000.00004.4771%0.000064.4771%4.4771%
GPU722440.000163.6364%50010,0000.00001.9446%0.000165.5810%1.9446%
Difference+19+37.6872+10.9668%+999,999,500+102,851,514,603,680+5,801.5185+31.3686%+5,839.2056+42.3354%+42.3354%

Known prime factors (1 factor, 127.7 bits, 0.30151148% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
4234927393444373030746640031399981370360140939127.6873234249258899944112025242624544896
27 × 5903 × 7499 × 233599 × 688027 × 3551492649097
688,0273.55149e+122016-12-193.640e+12200.29374.09

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers100,00010,000,000---0.001--3.324%
2001-08-18T00:00:00Alex Kruppav4_computers1,000,000100,000,000---0.007--7.115%
2002-04-28T00:00:00ANONYMOUSv4_computers16,3841,638,400---0.000--1.304%
2002-06-09T00:00:00ANONYMOUSv4_computers32,7683,276,800---0.000--1.961%
2002-07-20T00:00:00ANONYMOUSv4_computers65,5366,553,600---0.000--2.766%
2003-02-02T00:00:00ANONYMOUSv4_computers131,07213,107,200---0.001--3.705%
2003-03-27T00:00:00ANONYMOUSv4_computers262,14426,214,400---0.002--4.765%
2003-04-03T00:00:00ANONYMOUSv4_computers524,28852,428,800---0.003--5.934%
2003-04-27T00:00:00ANONYMOUSv4_computers1,048,576104,857,600---0.007--7.205%
2003-05-26T00:00:00ANONYMOUSv4_computers2,097,152209,715,200---0.014--8.566%
2003-07-21T00:00:00ANONYMOUSv4_computers4,194,304419,430,400---0.028--9.992%
2003-10-08T00:00:00ANONYMOUSv4_computers8,388,608838,860,800---0.056--11.463%
2003-10-14T00:00:00ANONYMOUSv4_computers16,777,2161,677,721,600---0.111--12.958%
2011-07-19T21:09:00Jocelyn LaroucheManual testing20,038,49720,038,497---0.021--6.141%
2012-02-17T11:13:00Jocelyn LaroucheManual testing25,048,12125,048,121---0.026--6.482%
2012-05-15T07:17:00Jocelyn LaroucheManual testing60,115,49260,115,492---0.062--7.883%
2012-06-16T15:25:00alpertronManual testing100,000,0002,000,000,000---0.211--14.132%
2016-05-16T16:17:01Jocelyn LaroucheManual testing200,000,0003,600,000,00012---0.399--15.374%
2016-12-19T07:18:58kkmrkkblmbrbkManual testing1,000,000,000102,851,514,613,68039127.6875,8026.04650e-511,60333.313%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21T00:00:00ANONYMOUSv4_computers252253--0.014--
2000-03-22T00:00:00ANONYMOUSv4_computers?254--0.057--
2000-10-28T00:00:00ANONYMOUSv4_computers?256--0.227--
2002-11-16T00:00:00ANONYMOUSv4_computers?257--0.453--
2016-02-23T04:50:52LaurVManual testing257258--0.453--
2009-01-09T23:34:00Sturle Sundeherrick.ifi258259--0.907--
2009-02-08T19:45:00Sturle Sundegibsy.ifi259260--1.813--
2013-11-28T02:17:00LaurVManual testing260261--3.627--
2014-07-14T14:16:00Sid & AndyMrs_Potato_Head261262--7.254--
2016-09-21T13:41:38Sid & AndyBullseye262263--23.18--


ECM factoring results:
ECM Summary

B1B2factorcurvesGHz-days
1,000,000100,000,00010.015
3,000,000300,000,0001245.541


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:58:00MadPooManual testingE431DB0C2B6E881E3.02325e-5


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:53:28Oliver KrusePRP
273934443730307466400313999813703601409
D6A26706B2D0E9__no
2017-09-21T21:29:18Oliver KruseManual testing
273934443730307466400313999813703601409
D6A26706B2D0E9__no
2017-09-21T22:13:05Oliver KruseManual testing
273934443730307466400313999813703601409
D6A26706B2D0E9__no
2017-11-06T04:32:53kkmrkkblmbrbkc4.xlarge
273934443730307466400313999813703601409
D6A26706B2D0E9__no
2020-04-17T13:49:15Oliver KruseManual testing
273934443730307466400313999813703601409
8B8BDCA00EC01E__no


P-1 factor-bounds graph:
B1 = 1,000,000,000, B2 = 102,851,514,613,680 (stage 2)
B1 = 1,000,000,000 (stage 1)
B1 = 200,000,000, B2 = 3,600,000,000 (stage 2)
B1 = 100,000,000, B2 = 2,000,000,000 (stage 2)
B1 = 200,000,000 (stage 1)
B1 = 16,777,216, B2 = 1,677,721,600 (stage 2)
B1 = 100,000,000 (stage 1)
B1 = 60,115,492 (stage 1)
B1 = 8,388,608, B2 = 838,860,800 (stage 2)
B1 = 4,194,304, B2 = 419,430,400 (stage 2)
B1 = 25,048,121 (stage 1)
B1 = 20,038,497 (stage 1)
B1 = 16,777,216 (stage 1)
B1 = 2,097,152, B2 = 209,715,200 (stage 2)
B1 = 8,388,608 (stage 1)
B1 = 1,048,576, B2 = 104,857,600 (stage 2)
B1 = 1,000,000, B2 = 100,000,000 (stage 2)
B1 = 4,194,304 (stage 1)
B1 = 524,288, B2 = 52,428,800 (stage 2)
B1 = 2,097,152 (stage 1)
B1 = 262,144, B2 = 26,214,400 (stage 2)
B1 = 1,048,576 (stage 1)
B1 = 1,000,000 (stage 1)
B1 = 131,072, B2 = 13,107,200 (stage 2)
B1 = 100,000, B2 = 10,000,000 (stage 2)
B1 = 524,288 (stage 1)
B1 = 65,536, B2 = 6,553,600 (stage 2)
B1 = 262,144 (stage 1)
B1 = 32,768, B2 = 3,276,800 (stage 2)
B1 = 131,072 (stage 1)
B1 = 16,384, B2 = 1,638,400 (stage 2)
B1 = 100,000 (stage 1)
B1 = 65,536 (stage 1)
B1 = 32,768 (stage 1)
B1 = 16,384 (stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-17T13:49:15+00:00