is 2 2799967 - 1
has 842875 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7C4EBECFAC44C7CEdouble-checked
PRP18A687F48E02B277verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27085.340568.5714%3000000900000000.86686.6435%86.207370.6594%2.0880%
PrimeNet2590.027462.7119%120002400000.00272.9271%0.030263.8033%1.0915%
GPU722630.570065.0794%150002600000.00321.7897%0.573265.7044%0.6250%
Difference+7+84.7705+3.4921%+2985000+89740000+0.8636+4.8538%+85.6342+4.9550%+4.9550%

Known prime factors (1 factor, 78.1 bits, 0.00278985% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27999673272687884067481810604092478.11558441543847971812
22 × 33 × 11 × 79 × 97 × 6419577023
2021-08-3197641957702328,73539.17073.159

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.157%
2010-11-12T11:43:00Jocelyn LaroucheManual testing1500015000---0.002--0.146%
2010-11-21T02:28:00markrtiny1000002075000---0.023--1.952%
2014-11-06T23:05:00Jocelyn LaroucheManual testing122923122923---0.014--0.715%
2016-05-09T12:10:46Jocelyn LaroucheManual testing20000036000006---0.043--2.552%
2017-07-30T01:18:51Jocelyn Larouchelow 4M40000040000006---0.067--2.901%
2019-12-18T09:40:43BigBrotherWinston30000009000000012---0.867--6.644%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.055--
2009-02-14T04:10:00Sturle Sundekraus.ifi260261--0.055--
2012-03-05T15:18:00Grant McCrackenthumper261262--0.110--
2013-01-10T10:21:00dbaughManual testing262263--0.351--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.701--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.334--
2016-02-10T11:15:46ramgeisManual testing265266--2.669--
2017-10-30T11:20:26mikrManual testing266267--5.338--
2017-10-30T11:20:26mikrManual testing267268--10.68--
2018-05-18T16:54:12YxinityManual testing268269--21.35--
2018-05-18T16:54:12YxinityManual testing269270--42.70--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.210 GHz-days
Estimated T-Level:4.900
DigitsB1CurvesCompleteFacMiss
201100098 / 1000.98037.346%
255000098 / 2800.35070.425%

New Calculation Method

Total ECM effort:10.210 GHz-days
Estimated T-Level:4.900
DigitsB1CompleteFacMiss
20110003.1614.237%
25500000.28675.148%
302500000.01898.256%


ECM Summary

B1B2factorcurvesGHz-days
500005000000939.69
50000500000050.521


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-08T00:00:00ANONYMOUSv4_computers7C4EBECFAC44C7CE0.216
1999-07-04T00:00:00ANONYMOUSv4_computers7C4EBECFAC44C7CE0.216
2018-09-01T01:00:12kkmrkkblmbrbkold7C4EBECFAC44C7CE0.216


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-01T06:47:04SRJ2877LTOS
327268788406748181060409
18A687F48E02B277no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 122923 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
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1010
TF factor-bounds graph:
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267
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2100
Last modified: 2021-09-01T06:47:04+00:00