is 2 3083209 - 1
has 928139 decimal digits
takes 0.262 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5E25788E57353D42double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.721668.1159%30000001000000001.02247.4141%39.744070.4799%2.3639%
PrimeNet2600.049863.3333%120002200000.00292.5278%0.052764.2602%0.9269%
GPU722641.154465.6250%140002200000.00311.4681%1.157566.1296%0.5046%
Difference+5+37.5672+2.4909%+2986000+99780000+1.0193+5.9460%+38.5865+4.3502%+4.3502%

Known prime factors (1 factor, 70.4 bits, 0.00228262% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
308320915342466845365290674972270.378248806792620372
22 × 3 × 7 × 1427 × 2075673179
2021-05-1414272075673179152.2413.95726.067

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.201%
2008-10-29T00:49:00Jayson Kingatlas40000640000---0.009--1.321%
2011-08-18T17:54:00harleeP4_26001000002125000---0.026--2.250%
2016-04-14T05:13:12Jocelyn LaroucheManual testing20000061886736---0.065--3.255%
2018-03-21T00:14:20mikrMSI300000010000000012---1.022--7.414%
2022-02-20T22:18:10Jocelyn LaroucheManual testing1000000128282700---0.979--6.923%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-31T00:00:00ANONYMOUSv4_computers21259--0.025--
1998-07-05T00:00:00ANONYMOUSv4_computers21259--0.025--
1998-07-11T00:00:00ANONYMOUSv4_computers21259--0.025--
2001-07-03T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T01:56:00Sturle Sundeeberlin.ifi260261--0.050--
2011-11-13T08:36:00Sid & AndyBuzz261262--0.100--
2013-01-03T08:40:00dbaughManual testing262263--0.318--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.637--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.212--
2015-06-08T12:39:00ThaManual testing265266--2.424--
2017-05-18T12:32:20Gordon SpenceManual testing266267--4.847--
2022-01-20T22:38:01Jocelyn LaroucheManual testing267268--9.69--
2018-08-10T10:59:50ramgeisManual testing267268--9.69--
2021-03-03T10:19:34TJAOIManual testing268269--19.39--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.807 GHz-days
Estimated T-Level:2.350
DigitsB1CurvesCompleteFacMiss
201100047 / 1000.47062.353%
255000047 / 2800.16884.522%

New Calculation Method

Total ECM effort:5.807 GHz-days
Estimated T-Level:2.350
DigitsB1CompleteFacMiss
20110001.86515.484%
25500000.17384.153%
302500000.01198.914%


ECM Summary

B1B2factorcurvesGHz-days
500005000000293.384
50000670000070.939
50000670000040.537
50000680000070.947


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers5E25788E57353D420.262


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-14T05:33:54mikrNitron
1534246684536529067497
2FEC63E1DF1C3E98no
2021-05-16T01:12:11kutensarcturus
1534246684536529067497
2FEC63E1DF1C3E98no


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 = 6188673 (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 = 40000, B2 = 640000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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1010
TF factor-bounds graph:
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2100
Last modified: 2022-02-20T22:18:10+00:00