is 2 3393017 - 1
has 1021400 decimal digits
takes 0.356 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD7FA93C5D70109EFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.566967.6471%11310051116423001.08927.5742%18.656170.0975%2.4505%
PrimeNet2600.045363.3333%140002800000.00432.8462%0.049664.3769%1.0436%
GPU722641.049065.6250%180003200000.00521.7913%1.054366.2408%0.6158%
Difference+4+16.5179+2.0221%+1113005+111322300+1.0839+5.7829%+17.6018+3.8568%+3.8568%

Known prime factors (2 factors, 142.4 bits, 0.00419607% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33930176212265438105539331112169.07491544861668915
5 × 337 × 1319 × 41189761
2022-01-0913194118976140.1820.34190.6383
3393017116258501620973991730392373.3001713202462896207
3 × 31 × 61 × 263 × 929 × 1236017
2009-06-1392912360171,086.90.01040.0192

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3393017722228671505913549220528057094752032059432943142.373
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-14T12:32:23Jocelyn LaroucheManual testing33930137323186-
skipped known factor: 11625850162097399173039
--0.080--3.542%
2022-01-09T02:58:30Jocelyn LaroucheManual testing11310051116423002169.0741.0890.7132.1787.574%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-05T00:00:00ANONYMOUSv4_computers21260--0.045--
2009-03-25T20:45:00S485122USB-Z260261--0.045--
2022-04-24T18:52:27LordJuliusManual testing21262--0.181--
2022-04-24T18:52:27LordJuliusManual testing262263--0.289--
2022-04-24T18:52:27LordJuliusManual testing263264--0.579--
2022-04-24T18:52:27LordJuliusManual testing264265--1.101--
2022-04-24T18:52:27LordJuliusManual testing265266--2.202--
2022-04-24T18:52:27LordJuliusManual testing266267--4.405--
2021-07-09T11:40:04Jocelyn LaroucheManual testing267268--8.810--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CurvesCompleteFacMiss

New Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-05T00:00:00ANONYMOUSv4_computersD7FA93C5D70109EF0.356
2000-10-07T00:00:00ANONYMOUSv4_computersD7FA93C5D70109EF0.356
2001-01-21T00:00:00ANONYMOUSv4_computersD7FA93C5D70109EF0.356


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-05T20:34:37Oliver KruseGTX-2
11625850162097399173039
E80983773C257E__no
2017-12-15T21:57:56kkmrkkblmbrbkc4.xlarge
11625850162097399173039
E80983773C257E__no
2022-01-12T07:22:50LordJuliusWhiteBox
621226543810553933111
11625850162097399173039
E80983773C257ECDno


P-1 factor-bounds graph:
B1 = 1131005, B2 = 111642300 (P-1 stage 2)
B1 = 1131005 (P-1 stage 1)
B1 = 339301, B2 = 3732318 (P-1 stage 2)
B1 = 339301 (P-1 stage 1)
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101
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
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2100
Last modified: 2022-04-24T18:52:27+00:00