is 2 3302683 - 1
has 994207 decimal digits
takes 0.347 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA6C7423B006BA278double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27072.350568.5714%110867384102093095.00009.3127%77.350571.4983%2.9268%
PrimeNet2600.046563.3333%140002600000.00422.7788%0.050764.3522%1.0189%
GPU722641.077765.6250%170003000000.00491.7224%1.082666.2171%0.5921%
Difference+6+71.2728+2.9464%+11069738+409909309+4.9951+7.5903%+76.2678+5.2812%+5.2812%

Known prime factors (1 factor, 71.0 bits, 0.00214879% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
330268323091407376987504743532270.968349585585068072
23 × 3 × 14566066044503
2021-11-12814566066044503134.60120,857225,728

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T00:38:00Carsten Kossendeydurandal15000191250---0.004--0.573%
2011-09-29T09:53:00harleeP4_260055000880000---0.015--1.390%
2012-11-13T16:34:00Squeeky_SquirrelP4_26002050004612500---0.068--2.776%
2018-08-06T19:37:29Jocelyn Larouchelow 4M410000820000---0.066--1.863%
2018-08-07T17:09:30Jocelyn Larouchelow 4M4100001230000---0.069--2.142%
2018-08-08T12:55:44Jocelyn Larouchelow 4M4100001640000---0.073--2.342%
2018-08-08T23:04:24Jocelyn Larouchelow 4M4100002050000---0.076--2.499%
2018-08-11T22:24:55Jocelyn Larouchelow 4M4100004100000---0.093--2.993%
2019-12-25T14:37:40GdSManual testing1108673841020930912---5.000--9.313%
2022-04-02T19:48:46Jocelyn LaroucheManual testing1000000134316000---1.258--6.433%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-03-31T16:20:00S485122USB-Z260261--0.047--
2011-09-12T12:45:00markrManual testing21262--0.186--
2012-08-25T21:54:00GrunwalderGIMPManual testing21263--0.483--
2016-02-23T16:29:25Mark RoseManual testing262263--0.297--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.594--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.131--
2016-02-29T09:31:01ramgeisManual testing265266--2.263--
2017-02-21T14:29:04Gordon SpenceManual testing266267--4.525--
2018-12-10T15:07:53TJAOIManual testing267268--9.051--
2019-12-20T14:48:06GdSManual testing268269--18.10--
2019-12-20T14:48:06GdSManual testing269270--36.20--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.798 GHz-days
Estimated T-Level:3.200
DigitsB1CurvesCompleteFacMiss
201100064 / 1000.64052.560%
255000064 / 2800.22979.534%

New Calculation Method

Total ECM effort:9.798 GHz-days
Estimated T-Level:3.200
DigitsB1CompleteFacMiss
20110002.12811.902%
25500000.19282.568%
302500000.01298.825%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.249
50000500000071.021
50000650000071.158
500006800000142.371


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08T00:00:00ANONYMOUSv4_computersA6C7423B006BA2780.347
1999-06-15T00:00:00dtlgcv4_computersA6C7423B006BA2780.347


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-13T22:10:35SRJ2877LTOS
2309140737698750474353
82E84C1DB3A835__no
2021-11-19T22:48:43LordJuliusWhiteBox
2309140737698750474353
82E84C1DB3A835CCno


P-1 factor-bounds graph:
B1 = 11086738, B2 = 410209309 (P-1 stage 2)
B1 = 11086738 (P-1 stage 1)
B1 = 1000000, B2 = 134316000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 410000, B2 = 4100000 (P-1 stage 2)
B1 = 410000, B2 = 2050000 (P-1 stage 2)
B1 = 410000, B2 = 1640000 (P-1 stage 2)
B1 = 410000, B2 = 1230000 (P-1 stage 2)
B1 = 205000, B2 = 4612500 (P-1 stage 2)
B1 = 410000, B2 = 820000 (P-1 stage 2)
B1 = 410000 (P-1 stage 1)
B1 = 205000 (P-1 stage 1)
B1 = 55000, B2 = 880000 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-02T19:48:46+00:00