is 2 3244039 - 1
has 976554 decimal digits
takes 0.276 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1E4CCE9CC8D1337Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.373767.6471%40000001500000001.47538.7722%19.849070.4851%2.8381%
PrimeNet2600.047363.3333%140002600000.00342.7699%0.050764.3490%1.0156%
GPU722641.097265.6250%160002800000.00371.6543%1.100966.1937%0.5687%
Difference+4+17.2765+2.0221%+3984000+149720000+1.4716+7.1180%+18.7480+4.2915%+4.2915%

Known prime factors (1 factor, 99.7 bits, 0.00307293% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
324403910204024201010412728096767331693199.687157273451413660759443656
23 × 13 × 433 × 72869 × 2376859 × 20164523
2020-06-192376859201645234.059e+100.41290.5970

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T06:45:00Carsten Kossendeydurandal15000191250---0.003--0.785%
2011-09-09T12:06:00harleeP4_260055000866250---0.012--1.797%
2012-06-23T18:55:00c10ck3rManual testing100000030000000---0.318--6.031%
2020-06-19T22:16:05mikrMSI4000000150000000123199.6871.4750.5522.9518.772%
2021-01-14T13:16:35Jocelyn LaroucheManual testing324403324403---0.040--1.595%
2021-01-16T17:21:44Jocelyn LaroucheManual testing32440332440396---0.060--3.388%
2022-01-02T21:53:13Jocelyn LaroucheManual testing32440393244039---0.400--3.826%
2022-01-03T11:28:02Jocelyn LaroucheManual testing3244039116701200-
skipped known factor: 1020402420101041272809676733169
--1.163--8.325%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-18T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-04T07:02:00S485122USB-A260261--0.047--
2011-07-24T20:30:00Carsten KossendeyManual testing261262--0.095--
2012-10-12T01:43:00Richard B. WoodsPuttputt262263--0.303--
2012-11-18T15:22:00Richard B. WoodsPuttputt263264--0.605--
2013-09-04T06:34:00David CampeauManual testing264265--1.152--
2015-06-24T21:57:00ThaManual testing265266--2.304--
2017-03-27T22:26:22Gordon SpenceManual testing266267--4.607--
2018-11-12T14:47:37TJAOIManual testing267268--9.214--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.766 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.766 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.766


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-21T00:00:00ANONYMOUSv4_computers1E4CCE9CC8D1337F0.276
1999-06-15T00:00:00ANONYMOUSv4_computers1E4CCE9CC8D1337F0.276


PRP results:
dateuseridcompidcofactorsres64PRP
2020-06-20T00:36:27mikrMSI
1020402420101041272809676733169
EBBBA9FE35167562no
2020-06-20T06:00:31CrypticCluecruncher
1020402420101041272809676733169
EBBBA9FE35167562no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 3244039, B2 = 116701200 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3244039 (P-1 stage 1)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 324403, B2 = 3244039 (P-1 stage 2)
B1 = 324403 (P-1 stage 1)
B1 = 55000, B2 = 866250 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-03T11:28:02+00:00