is 2 2142403 - 1
has 644928 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3204C279A25FFCD7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.869467.1642%25000001250000000.87468.5826%14.744169.9824%2.8182%
PrimeNet2580.017962.0690%90001700000.00172.7319%0.019663.1052%1.0362%
GPU722620.286864.5161%100001500000.00171.4879%0.288465.0441%0.5280%
Difference+5+13.5827+2.6481%+2490000+124850000+0.8730+7.0948%+14.4556+4.9383%+4.9383%

Known prime factors (1 factor, 80.7 bits, 0.00376539% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
214240319232266822540200648018492580.670448848018382633908
22 × 3 × 107 × 254783 × 1372030739
2018-07-242547831372030739210,4827.149613.311

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.278%
2010-11-02T22:12:00ANONYMOUSManual testing2000020000---0.002--0.303%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.417%
2011-01-13T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.598%
2011-01-24T14:35:00James Heinrichi7-9201300002632500---0.025--2.976%
2014-10-28T23:25:00Jocelyn LaroucheManual testing159959159959---0.015--1.194%
2016-06-04T03:37:01Jocelyn LaroucheManual testing17595452650006---0.043--3.640%
2016-11-13T02:06:36Jocelyn Larouchelow 4M211144211144---0.020--1.376%
2017-04-22T17:25:11Jocelyn Larouchelow 4M35190835190806---0.050--3.666%
2017-04-27T04:20:46Jocelyn Larouchelow 4M42228942228906---0.060--3.902%
2017-11-02T12:09:31mikrMSI250000012500000012---0.875--8.583%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:06Mark RoseManual testing258260--0.054--
2009-01-04T14:53:00Sturle Sundefoster.ifi260261--0.072--
2009-01-06T20:55:00Sturle Sundeginjtje.ifi261262--0.143--
2013-09-07T11:35:00ramgeisManual testing262263--0.458--
2015-03-18T10:56:00VictordeHollanderManual testing263264--0.916--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.744--
2015-12-27T16:49:15ramgeisManual testing265266--3.488--
2016-10-29T15:24:11Gordon SpenceManual testing266267--6.976--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.242 GHz-days
Estimated T-Level:1.900
DigitsB1CurvesCompleteFacMiss
201100038 / 1000.38068.255%
255000038 / 2800.13687.288%

New Calculation Method

Total ECM effort:3.242 GHz-days
Estimated T-Level:1.900
DigitsB1CompleteFacMiss
20110001.22629.352%
25500000.11189.513%
302500000.00799.320%


ECM Summary

B1B2factorcurvesGHz-days
500005000000363.071
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computers3204C279A25FFCD70.141
2018-04-07T19:21:36kkmrkkblmbrbkold3204C279A25FFCD70.141


PRP results:
dateuseridcompidcofactorsres64PRP
2018-07-24T05:25:29ATHec2-PRPCF
1923226682254020064801849
74E8ABE2DFD3DB__no
2018-07-24T19:15:20kkmrkkblmbrbkc5.large
1923226682254020064801849
74E8ABE2DFD3DB__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 422289, B2 = 4222890 (P-1 stage 2)
B1 = 351908, B2 = 3519080 (P-1 stage 2)
B1 = 175954, B2 = 5265000 (P-1 stage 2)
B1 = 422289 (P-1 stage 1)
B1 = 351908 (P-1 stage 1)
B1 = 130000, B2 = 2632500 (P-1 stage 2)
B1 = 211144 (P-1 stage 1)
B1 = 175954 (P-1 stage 1)
B1 = 159959 (P-1 stage 1)
B1 = 130000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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104
105
106
107
102
103
104
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107
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109
1010
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
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2100
Last modified: 2018-07-24T22:18:02+00:00