is 2 2314253 - 1
has 696660 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD8B538786EACDBEFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.755667.6471%60000001800000001.51648.9636%27.271970.5470%2.9000%
PrimeNet2580.016662.0690%100001900000.00192.9313%0.018563.1808%1.1119%
GPU722620.265564.5161%130002000000.00231.7811%0.267765.1481%0.6320%
Difference+6+25.4901+3.1309%+5987000+179800000+1.5141+7.1825%+27.0042+5.3989%+5.3989%

Known prime factors (1 factor, 76.4 bits, 0.00329954% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2314253969590367757396947482232376.36020948236164269787
3 × 41647 × 167665027207
2020-07-05416471676650272079,571.6894.811,671.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.230%
2010-02-16T08:20:00Budannan50000010000000---0.100--4.373%
2018-01-10T05:46:01Sid & AndyHand_In_The_Box600000018000000012---1.516--8.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:11Mark RoseManual testing258260--0.050--
2009-01-17T11:30:00Sturle Sundenouchcraft.ifi260261--0.066--
2012-05-23T18:43:00Sebastian HornbostelManual testing261262--0.133--
2013-12-06T02:47:00Jerry HallettManual testing262263--0.424--
2015-03-03T21:35:00VictordeHollanderManual testing263264--0.848--
2015-03-03T21:35:00VictordeHollanderManual testing264265--1.615--
2015-10-23T09:34:55ramgeisManual testing265266--3.229--
2017-06-04T00:25:30Gordon SpenceManual testing266267--6.458--
2019-04-22T13:11:36TJAOIManual testing267268--12.92--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.199 GHz-days
Estimated T-Level:3.500
DigitsB1CurvesCompleteFacMiss
201100070 / 1000.70049.484%
255000070 / 2800.25077.845%

New Calculation Method

Total ECM effort:6.199 GHz-days
Estimated T-Level:3.500
DigitsB1CompleteFacMiss
20110002.25810.455%
25500000.20481.540%
302500000.01398.751%


ECM Summary

B1B2factorcurvesGHz-days
500005000000696.111
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computersD8B538786EACDBEF0.156
2018-05-04T03:10:24kkmrkkblmbrbkoldD8B538786EACDBEF0.156


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-07T20:37:23atrenchDesktop
96959036775739694748223
F8591E23C37D3174no
2020-07-12T08:49:46Sébastien BrouckePortable_Seb
96959036775739694748223
F8591E23C37D3174no


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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102
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109
1010
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1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
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260
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2100
Last modified: 2020-07-12T08:49:46+00:00