is 2 3326423 - 1
has 1001354 decimal digits
takes 0.349 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP6AA36E828B5B964Cverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.918667.6471%3000000900000001.17877.9715%19.097370.2261%2.5790%
PrimeNet2600.046263.3333%140002600000.00422.7824%0.050364.3535%1.0202%
GPU722641.070065.6250%170003000000.00491.7248%1.075066.2179%0.5929%
Difference+4+16.8486+2.0221%+2983000+89700000+1.1738+6.2468%+18.0224+4.0082%+4.0082%

Known prime factors (1 factor, 78.5 bits, 0.00236065% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33264234349798968165342423018332478.52565382529043440092
22 × 3 × 112 × 45029289974821
2021-04-121214502928997482121,558373,617697,812

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:39:00Carsten Kossendeydurandal15000195000---0.004--0.794%
2010-09-14T23:18:00markrtiny950002042500---0.031--2.516%
2016-04-21T12:23:34harleeP4_2600225000658125012---0.087--3.778%
2020-01-09T01:17:47BigBrotherWinston30000009000000012---1.179--7.972%
2022-04-08T06:41:05Jocelyn LaroucheManual testing1000000115661700---1.104--7.498%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-09-01T00:00:00ANONYMOUSv4_computers21260--0.046--
2009-03-29T14:17:00S485122USB-A260261--0.046--
2011-09-04T23:40:00markroldgamer261262--0.092--
2012-08-25T21:54:00GrunwalderGIMPManual testing21263--0.480--
2016-02-23T16:29:25Mark RoseManual testing262263--0.295--
2015-02-11T09:06:00VictordeHollanderManual testing263264--0.590--
2015-02-11T09:06:00VictordeHollanderManual testing264265--1.123--
2016-03-02T17:18:06ramgeisManual testing265266--2.246--
2017-02-27T22:17:41Gordon SpenceManual testing266267--4.493--
2018-11-19T15:52:49TJAOIManual testing267268--8.986--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.110 GHz-days
Estimated T-Level:1.750
DigitsB1CurvesCompleteFacMiss
201100035 / 1000.35070.345%
255000035 / 2800.12588.230%

New Calculation Method

Total ECM effort:5.110 GHz-days
Estimated T-Level:1.750
DigitsB1CompleteFacMiss
20110001.12932.335%
25500000.10290.299%
302500000.00699.374%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.234
50000500000060.876


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computers48D4F81307FBDE__0.349


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-13T10:59:46mikrNitron
434979896816534242301833
6AA36E828B5B964Cno
2021-04-19T02:55:33Chang Chia-Tcheexbpc13
434979896816534242301833
6AA36E828B5B964Cno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 1000000, B2 = 115661700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 225000, B2 = 6581250 (P-1 stage 2)
B1 = 225000 (P-1 stage 1)
B1 = 95000, B2 = 2042500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 195000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-08T06:41:05+00:00