is 2 2042891 - 1
has 614972 decimal digits
takes 0.134 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L34B12F05DDA5C097double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.176769.1176%40000002000000001.39948.7579%30.576271.8223%2.7047%
PrimeNet2580.018863.7931%90001600000.00162.6639%0.020464.7576%0.9645%
GPU722620.300766.1290%90001200000.00141.3293%0.302266.5793%0.4503%
Difference+6+28.8760+2.9886%+3991000+199880000+1.3980+7.4286%+30.2740+5.2430%+5.2430%

Known prime factors (1 factor, 84.9 bits, 0.00415504% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2042891356696961707653971930890172684.8838730200527283491188
22 × 3 × 727516710606957599
2020-02-0947275167106069575992,784,5543.779e+97.058e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers10001000---9.53375e-5--0.005%
2002-05-05T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.017%
2003-01-09T00:00:00ANONYMOUSv4_computers25000418750---0.004--1.085%
2010-12-28T23:08:00Jocelyn LaroucheManual testing3000030000---0.003--0.349%
2011-01-04T22:09:00Jocelyn LaroucheManual testing5000050000---0.005--0.507%
2011-01-31T07:11:00markrManual testing1350003003750---0.028--2.735%
2014-10-19T12:31:00Jocelyn LaroucheManual testing166418166418---0.016--1.058%
2015-10-06T01:52:33Bruno Victal4790K-windows5000001500000012---0.123--4.662%
2019-06-29T08:32:25BigBrotherWinston10000002000000012---0.194--5.316%
2019-07-10T18:55:47mikrMSI400000020000000012---1.399--8.758%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.056--
2009-01-03T01:05:00Sturle Sundegluck.ifi260261--0.075--
2012-02-28T00:47:00Sebastian HornbostelManual testing261262--0.150--
2013-08-30T08:22:00ramgeisManual testing262263--0.481--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.961--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.829--
2015-11-01T21:51:00ramgeisManual testing265266--3.658--
2016-08-04T22:03:49Gordon SpenceManual testing266267--7.316--
2019-03-22T01:11:12chuenkitManual testing267268--14.63--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.427 GHz-days
Estimated T-Level:3.200
DigitsB1CurvesCompleteFacMiss
201100064 / 1000.64052.560%
255000064 / 2800.22979.534%

New Calculation Method

Total ECM effort:5.427 GHz-days
Estimated T-Level:3.200
DigitsB1CompleteFacMiss
20110002.06512.688%
25500000.18782.978%
302500000.01198.858%


ECM Summary

B1B2factorcurvesGHz-days
500005000000635.343
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00ANONYMOUSv4_computers34B12F05DDA5C0970.134
2016-07-15T20:25:41Mark Roseraphael34B12F05DDA5C0970.134


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-09T23:29:16Niels_Mache_NextcloudSuperDry-X
35669696170765397193089017
4A3E30AAE13BB289no
2020-02-10T10:54:00oodairacom1
35669696170765397193089017
4A3E30AAE13BB289no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 3003750 (P-1 stage 2)
B1 = 166418 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 418750 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 25000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-02-10T10:54:00+00:00