is 2 2314709 - 1
has 696797 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-LFDBFA8FA60B4E968double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.750567.6471%60000001800000001.51648.9638%27.266870.5471%2.9000%
PrimeNet2580.016662.0690%100001900000.00192.9314%0.018563.1809%1.1119%
GPU722620.265464.5161%130002000000.00231.7812%0.267765.1482%0.6320%
Difference+6+25.4851+3.1309%+5987000+179800000+1.5141+7.1825%+26.9991+5.3989%+5.3989%

Known prime factors (1 factor, 92.1 bits, 0.00397906% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
231470953205950405205974103362966572892.1041149301065602759873992
23 × 17 × 677 × 83768947 × 149012663
2020-08-0883768947149012663826,467,6428.553816.700

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%
2018-01-09T19:26:41Sid & AndyHand_In_The_Box600000018000000012---1.516--8.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.066--
2009-01-17T13:51:00Sturle Sundenouchcraft.ifi260261--0.066--
2012-05-23T18:44:00Sebastian 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--1.614--
2015-10-23T09:34:55ramgeisManual testing265266--3.228--
2017-06-04T00:25:30Gordon SpenceManual testing266267--6.457--
2019-04-22T13:11:36TJAOIManual testing267268--12.91--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.617 GHz-days
Estimated T-Level:4.300
DigitsB1CurvesCompleteFacMiss
201100086 / 1000.86042.133%
255000086 / 2800.30773.514%

New Calculation Method

Total ECM effort:7.617 GHz-days
Estimated T-Level:4.300
DigitsB1CompleteFacMiss
20110002.7746.240%
25500000.25177.823%
302500000.01598.468%


ECM Summary

B1B2factorcurvesGHz-days
500005000000847.439
50000500000020.177


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersFDBFA8FA60B4E9680.156
2018-05-04T04:07:07kkmrkkblmbrbkoldFDBFA8FA60B4E9680.156


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-08T03:24:09CrypticCluecruncher
5320595040520597410336296657
DB89B4EDC6494A73no
2020-08-18T14:16:43Chang Chia-Tcheexbpc13
5320595040520597410336296657
DB89B4EDC6494A73no


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)
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TF factor-bounds graph:
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Last modified: 2020-08-18T14:16:43+00:00