is 2 3340531 - 1
has 1005601 decimal digits
takes 0.351 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26935.738968.1159%33405366810620.10353.6178%35.842469.2695%1.1535%
PrimeNet2600.046063.3333%140002600000.00422.7845%0.050264.3543%1.0210%
GPU722641.065565.6250%180003000000.00511.7545%1.070666.2281%0.6031%
Difference+5+34.6734+2.4909%+316053+6381062+0.0985+1.8634%+34.7718+3.0414%+3.0414%

Known prime factors (4 factors, 166.0 bits, 0.00496816% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3340531140302303927.06421
3 × 7
-375.377e-124.901e-79.298e-7
3340531835132751929.637125
53
2008-09-071251252.199e-111.904e-53.874e-5
334053123490146317671341.095351593
11 × 31963
2008-09-3011319639.667e-80.00030.0005
33405313312303111267032679432168.16649577493986241
3 × 13 × 379 × 8707 × 385223
2019-12-08870738522324.6640.00450.0060

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
33405311171710482760255531856.701
33405313295721626176070594012168.159
334053119617390515668267010172270.733
3340531464723754744829932900289727292995.230
33405312752365068198615445545775421513097.797
33405312766212809458296097179277011933097.804
334053177806484732136171982780168054528133109.262
33405313881060277550991248901643686487374747938124.868
334053110916428996253043038788133920777322008214342136.326
334053164978743639988379414588326375620370159803142138.899
33405319116667378736972525104533987415180987132852956539350165.963
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-12-08T19:26:27Jocelyn LaroucheManual testing500004000002168.1660.0110.7020.0211.235%
2020-05-01T16:14:43Jocelyn LaroucheManual testing33405333405316-
skipped known factor: 140302303
skipped known factor: 835132751
skipped known factor: 2349014631767
skipped known factor: 331230311126703267943
--0.076--3.092%
2020-07-05T12:13:27Jocelyn LaroucheManual testing33405366810626-
skipped known factor: 140302303
skipped known factor: 835132751
skipped known factor: 2349014631767
skipped known factor: 331230311126703267943
--0.104--3.618%
2021-08-03T11:59:13Jocelyn LaroucheManual testing33405313340531-
skipped known factor: 140302303
skipped known factor: 835132751
skipped known factor: 2349014631767
skipped known factor: 331230311126703267943
--0.509--3.517%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:47:00markrManual testing??41.095138.97836e-90.7591.94211e-8
2008-09-07T19:48:00Will EdgingtonManual testing??29.63795.79277e-130.7591.25303e-12
2021-01-30T13:27:06Jocelyn LaroucheManual testing265266--2.237--
2021-02-01T19:24:52Jocelyn LaroucheManual testing266267--4.474--
2021-02-02T03:07:33Jocelyn LaroucheManual testing267268--8.948--
2021-08-23T01:12:38Jocelyn LaroucheManual testing268269
skipped known factors(?)
--17.90--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.438 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.438 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.09790.776%
25500000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.438


Lucas-Lehmer results:
No L-L results for M3340531


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-04T20:24:58Oliver KruseGTX-0
140302303
835132751
2349014631767
54F4F040C4CABF__no
2017-12-15T06:45:29kkmrkkblmbrbkc4.xlarge
140302303
835132751
2349014631767
54F4F040C4CABF__no
2019-12-09T08:25:03Niels_Mache_NextcloudSuperDry-X
140302303
835132751
2349014631767
331230311126703267943
54F4F040C4CABFDBno


P-1 factor-bounds graph:
B1 = 3340531 (P-1 stage 1)
B1 = 334053, B2 = 6681062 (P-1 stage 2)
B1 = 334053, B2 = 3340531 (P-1 stage 2)
B1 = 334053 (P-1 stage 1)
B1 = 50000, B2 = 400000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
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107
TF factor-bounds graph:
269
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267
266
2
220
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290
2100
Last modified: 2021-08-23T01:12:38+00:00