is 2 3328679 - 1
has 1002033 decimal digits
takes 0.350 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
Actual26817.906567.6471%33286793390250503.29239.7182%21.198770.7912%3.1441%
PrimeNet2600.046163.3333%140002600000.00422.7827%0.050364.3537%1.0203%
GPU722641.069365.6250%180003000000.00511.7533%1.074466.2277%0.6027%
Difference+4+16.8372+2.0221%+3310679+338725050+3.2872+7.9649%+20.1244+4.5635%+4.5635%

Known prime factors (3 factors, 156.6 bits, 0.00470586% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33286796657359722.6671
1
-111.679e-131.523e-73.099e-7
33286791348108569375644546712166.86920249903480865
3 × 5 × 383 × 6977 × 505201
2020-11-1069775052016.81290.00520.0078
33286791589348046919068249612167.10723873555349120
27 × 3 × 5 × 491 × 25324121
2018-10-014912532412115.6910.21020.3924

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
33286798974842717310071603840738892789.536
332867910580860524289081283155379992889.774
33286792142613721772039883444409112770301584283141133.976
332867914264148744162585666407588006583382184841354332948156.643
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-01-20T18:54:44Jocelyn LaroucheManual testing33286733286796-
skipped known factor: 6657359
skipped known factor: 134810856937564454671
--0.076--3.431%
2021-08-01T20:43:03Jocelyn LaroucheManual testing33286793328679-
skipped known factor: 6657359
skipped known factor: 134810856937564454671
--0.507--3.869%
2021-12-20T15:17:20Jocelyn LaroucheManual testing3328679116701200-
skipped known factor: 6657359
skipped known factor: 134810856937564454671
skipped known factor: 158934804691906824961
--1.448--8.361%
2022-01-19T07:44:28Jocelyn LaroucheManual testing3328679339025050-
skipped known factor: 6657359
skipped known factor: 134810856937564454671
skipped known factor: 158934804691906824961
--3.292--9.718%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2020-11-10T11:12:24TJAOIManual testing266267*66.869212.3760.7104.829
2022-02-06T12:04:02Jocelyn LaroucheManual testing26726867.107216.7640.71013.75


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
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.438


Lucas-Lehmer results:
No L-L results for M3328679


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-04T06:55:25kkmrkkblmbrbkc4.xlarge
6657359
93D97AD076BD3E__no
2017-11-20T02:54:58Oliver KruseThreadripper
6657359
93D97AD076BD3E__no
2018-10-03T20:07:42Oliver KruseGTX-0
6657359
158934804691906824961
93D97AD076BD3E__no
2020-11-13T14:13:39Sébastien BrouckePortable_Seb
6657359
134810856937564454671
158934804691906824961
93D97AD076BD3EA7no


P-1 factor-bounds graph:
B1 = 3328679, B2 = 339025050 (P-1 stage 2)
B1 = 3328679, B2 = 116701200 (P-1 stage 2)
B1 = 3328679 (P-1 stage 1)
B1 = 332867, B2 = 3328679 (P-1 stage 2)
B1 = 332867 (P-1 stage 1)
100
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104
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106
107
100
101
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109
TF factor-bounds graph:
268
267
220
230
240
250
260
270
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290
2100
Last modified: 2022-02-06T12:04:02+00:00