is 2 2291347 - 1
has 689765 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L489FA8CB6BCCA697double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.013067.6471%3000000900000000.75827.6817%26.771270.1323%2.4853%
PrimeNet2580.016862.0690%100001900000.00192.9260%0.018763.1788%1.1099%
GPU722620.268164.5161%120002000000.00221.7363%0.270365.1322%0.6161%
Difference+6+25.7449+3.1309%+2988000+89800000+0.7560+5.9455%+26.5009+5.0001%+5.0001%

Known prime factors (1 factor, 85.3 bits, 0.00372336% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2291347481281486733430134899817032685.31510502151937996081233
3 × 132 × 76757689 × 269866171
2020-05-26767576892698661716,686,1938.549415.302

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.229%
2010-11-07T12:40:00Jocelyn LaroucheManual testing1500015000---0.001--0.201%
2010-11-15T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.258%
2010-11-29T04:19:00Oscar Östlin7501175011---0.007--0.678%
2011-01-16T21:06:00Oscar Östlin850001742500---0.017--2.235%
2014-06-11T02:10:00Jocelyn LaroucheManual testing113012113012---0.011--0.870%
2014-10-03T21:04:00Jocelyn LaroucheManual testing141024141024---0.014--0.986%
2016-01-01T13:48:32Jocelyn LaroucheManual testing35975235975206---0.053--3.357%
2019-07-22T16:11:30BigBrotherWinston30000009000000012---0.758--7.682%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-14T05:49:00Sturle Sundegorky.ifi260261--0.067--
2012-05-12T00:47:00Sebastian HornbostelManual testing261262--0.134--
2013-08-20T23:28:00David CampeauManual testing262263--0.428--
2015-03-12T10:50:00VictordeHollanderManual testing263264--0.857--
2015-03-12T10:50:00VictordeHollanderManual testing264265--1.631--
2015-11-03T10:10:00ramgeisManual testing265266--3.261--
2017-05-21T02:33:15Gordon SpenceManual testing266267--6.523--
2019-06-03T11:26:15TJAOIManual testing267268--13.05--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.660 GHz-days
Estimated T-Level:3.200
DigitsB1CurvesCompleteFacMiss
201100064 / 1000.64052.560%
255000064 / 2800.22979.534%

New Calculation Method

Total ECM effort:5.660 GHz-days
Estimated T-Level:3.200
DigitsB1CompleteFacMiss
20110002.06512.688%
25500000.18782.978%
302500000.01198.858%


ECM Summary

B1B2factorcurvesGHz-days
500005000000635.572
50000500000010.088


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computers489FA8CB6BCCA6970.155
2018-04-29T02:35:47kkmrkkblmbrbkold489FA8CB6BCCA6970.155


PRP results:
dateuseridcompidcofactorsres64PRP
2020-05-27T08:40:49CrypticCluecruncher
48128148673343013489981703
7D71521E9595C17Bno
2020-06-01T15:06:32Chang Chia-Tcheexbpc13
48128148673343013489981703
7D71521E9595C17Bno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 359752, B2 = 3597520 (P-1 stage 2)
B1 = 359752 (P-1 stage 1)
B1 = 85000, B2 = 1742500 (P-1 stage 2)
B1 = 141024 (P-1 stage 1)
B1 = 113012 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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109
TF factor-bounds graph:
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265
264
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2100
Last modified: 2020-06-01T15:06:32+00:00