is 2 3095959 - 1
has 931977 decimal digits
takes 0.264 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP66BF4F78295D7C__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.252567.6471%30000001000000001.02248.0468%20.274970.2504%2.6034%
PrimeNet2600.049663.3333%120002200000.00292.5298%0.052564.2609%0.9276%
GPU722641.149765.6250%140002400000.00321.5067%1.152966.1429%0.5179%
Difference+4+18.1028+2.0221%+2986000+99760000+1.0192+6.5401%+19.1220+4.1075%+4.1075%

Known prime factors (1 factor, 89.6 bits, 0.00289371% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30959599304745091451451217743388712789.588150272421105244791965
5 × 23 × 31 × 401 × 105117585492961
2021-01-0440110511758549296178,930,762706,7871,320,082

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T00:58:00Carsten Kossendeyleela15000180000---0.003--0.762%
2011-08-17T02:08:00harleeP4_26001000002125000---0.026--2.537%
2016-04-17T17:42:41Jocelyn LaroucheManual testing20000061670436---0.065--3.625%
2018-05-20T09:52:24mikrMSI300000010000000012---1.022--8.047%
2022-02-20T22:18:38Jocelyn LaroucheManual testing1000000128282700---0.979--7.554%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-13T00:00:00ANONYMOUSv4_computers21259--0.025--
2001-07-17T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-12T21:42:00Sturle Sundegoldiek.ifi260261--0.050--
2011-12-05T23:24:00Sid & AndyBuzz261262--0.099--
2013-01-07T13:56:00dbaughManual testing262263--0.317--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.634--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.207--
2015-06-11T22:04:00ThaManual testing265266--2.414--
2017-05-18T12:32:23Gordon SpenceManual testing266267--4.827--
2018-08-19T20:55:20ramgeisManual testing267268--9.65--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.503 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:3.503 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110000.96837.994%
25500000.08791.625%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000293.386
50000500000010.117


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00ANONYMOUSv4_computers5E7B1C28F92884__0.264


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-04T23:34:48mrhw
930474509145145121774338871
66BF4F78295D7C__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 128282700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 200000, B2 = 6167043 (P-1 stage 2)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-20T22:18:38+00:00