is 2 2314931 - 1
has 696864 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-L008F1BDBA6F89372double-checked
PRP0EE6EF628FAB058Averified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.748067.6471%60000001800000001.51648.9638%27.264470.5471%2.9001%
PrimeNet2580.016662.0690%100001900000.00192.9315%0.018563.1809%1.1119%
GPU722620.265464.5161%130002000000.00231.7812%0.267765.1482%0.6321%
Difference+6+25.4826+3.1309%+5987000+179800000+1.5141+7.1826%+26.9967+5.3989%+5.3989%

Known prime factors (1 factor, 75.2 bits, 0.00324935% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2314931440063996436546055075912375.2209504905252824945
5 × 172 × 1697 × 3876127933
2021-07-03169738761279335,813.220.68738.637

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%
2018-01-11T02:42:10Sid & AndyHand_In_The_Box600000018000000012---1.516--8.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.066--
2009-01-17T15:00:00Sturle Sundenouchcraft.ifi260261--0.066--
2012-05-24T10:42:00Sebastian HornbostelManual testing261262--0.133--
2013-12-06T02:46:00Jerry HallettManual testing262263--0.424--
2015-03-03T21:35:00VictordeHollanderManual testing263264--0.848--
2015-03-03T21:35:00VictordeHollanderManual testing264265--1.614--
2015-10-23T09:34:55ramgeisManual testing265266--3.228--
2017-06-04T00:25:30Gordon SpenceManual testing266267--6.456--
2019-04-22T13:11:35TJAOIManual testing267268--12.91--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.384 GHz-days
Estimated T-Level:22.696
DigitsB1CurvesCompleteFacMiss
2011000151 / 1001.51021.924%
2550000151 / 2800.53958.260%

New Calculation Method

Total ECM effort:13.384 GHz-days
Estimated T-Level:22.696
DigitsB1CompleteFacMiss
20110004.8780.761%
25500000.44064.381%
302500000.02797.325%
3510000000.00199.876%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014312.66
50000500000010.089
50000520000070.630


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers008F1BDBA6F893720.156
2018-05-04T05:15:15kkmrkkblmbrbkold008F1BDBA6F893720.156


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-05T13:11:00kutensarcturus
44006399643654605507591
0EE6EF628FAB058Ano


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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104
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102
103
104
105
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1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
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290
2100
Last modified: 2021-07-05T13:11:00+00:00