is 2 3508079 - 1
has 1056038 decimal digits
takes 0.368 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-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26816.990767.6471%13508075294520004.58759.5231%21.578270.7281%3.0810%
PrimeNet2600.043863.3333%150003000000.00462.9616%0.048464.4193%1.0859%
GPU722641.014665.6250%200003600000.00591.9162%1.020566.2837%0.6587%
Difference+4+15.9761+2.0221%+1330807+529092000+4.5816+7.6069%+20.5577+4.4444%+2.4223%

Known prime factors (4 factors, 169.4 bits, 0.00482845% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3508079175403951927.38625
52
-25255.124e-123.807e-67.748e-6
3508079222342047031134.3723169
3169
2008-09-07131691.100e-92.644e-54.904e-5
350807912644239301291340.202180216
23 × 32 × 2503
2008-09-30925034.208e-82.206e-53.877e-5
35080791982971987543176695992167.42628262932327681
6329 × 4465623689
2022-01-266329446562368915.66537.05369.203

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
350807938999673522489815531961.758
35080792217849530835745396792167.588
3508079281134604938599551966872374.574
3508079347821121337395975567771856492994.812
3508079440898050913497567095408592409731101.798
3508079493121204690544738218188191033731101.960
350807925073172338250579090211608344827133107.628
350807977335260118426632497422261068009990724739129.184
35080794397933492233060000461101529747243751872141135.014
3508079557482046322260532400056403525748752541851343142.000
350807997784553536489516634333405801266661429162010874486
3
51169.386
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-06-15T15:09:18Jocelyn LaroucheManual testing350807350807-
skipped known factor: 175403951
skipped known factor: 22234204703
skipped known factor: 1264423930129
--0.053--1.674%
2020-06-17T04:15:28Jocelyn LaroucheManual testing35080735080796-
skipped known factor: 175403951
skipped known factor: 22234204703
skipped known factor: 1264423930129
--0.080--3.520%
2022-02-10T20:52:39Jocelyn LaroucheManual testing1000000114656850-
skipped known factor: 175403951
skipped known factor: 22234204703
skipped known factor: 1264423930129
--1.095--7.531%
2022-09-03T03:27:56Jocelyn LaroucheManual testing1350807208556502-
skipped known factor: 175403951
skipped known factor: 22234204703
skipped known factor: 1264423930129
--1.925--8.452%
2022-10-05T21:28:26Jocelyn LaroucheManual testing1350807529452000-
skipped known factor: 175403951
skipped known factor: 22234204703
skipped known factor: 1264423930129
--4.587--9.523%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T21:28:00markrManual testing??40.202133.25353e-100.7926.99551e-10
2008-09-07T19:49:00Will EdgingtonManual testing??34.372114.47501e-100.7929.62187e-10
2022-01-26T20:53:37Jocelyn LaroucheManual testing267268
skipped known factors(?)
--8.521--
2022-01-26T20:53:37Jocelyn LaroucheManual testing26726867.426217.1950.74814.61


ECM factoring results:
Total ECM effort:0.442 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.442


Lucas-Lehmer results:
No L-L results for M3508079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-07T13:27:48kkmrkkblmbrbkc4.xlarge
175403951
22234204703
1264423930129
EBDC75D8E79A7B__no
2017-11-24T06:33:54Oliver KruseGTX-3
175403951
22234204703
1264423930129
EBDC75D8E79A7B__no
2022-02-01T23:42:24Poaooffice-CN2
175403951
22234204703
1264423930129
198297198754317669599
EBDC75D8E79A7B31no


P-1 factor-bounds graph:
B1 = 1350807, B2 = 529452000 (P-1 stage 2)
B1 = 1350807, B2 = 208556502 (P-1 stage 2)
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 1350807 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 350807, B2 = 3508079 (P-1 stage 2)
B1 = 350807 (P-1 stage 1)
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TF factor-bounds graph:
268
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Last modified: 2022-10-05T21:28:26+00:00