is 2 40009 - 1
has 12044 decimal digits
takes 0.000 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
Actualunknown5000000000163990510093410092,490.986181.1044%92,490.986181.1044%81.1044%
PrimeNet2400.000060.0000%500100000.00004.4137%0.000061.7655%1.7655%
GPU722440.000163.6364%500100000.00001.9128%0.000164.3319%0.6956%
Difference-44-0.0001-63.6364%+4999999500+1639905100924100+92,490.9861+79.1915%+92,490.9860+16.7724%+16.7724%

Known prime factors (2 factors, 125.2 bits, 0.31285042% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
400095761297722.45872
23 × 32
-991.418e-119.316e-91.896e-8
40009829659772513589630123902476007131102.710103684142632106479807531115
5 × 13 × 861771495379 × 1851001877449
2021-09-1786177149537918510018774494.554e+12947.841,815.5

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
400094779916358403226395263948963312277208738125.168
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-13T09:08:48kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 5761297
--0.211--39.084%
2021-12-17T03:17:45Lisander ViaeneDesktop10000000001000000000-
skipped known factor: 5761297
--1.035--34.634%
2021-12-18T23:02:58Lisander Viaene30.8b51000000000138908118479130-
skipped known factor: 5761297
--7,835--67.350%
2021-12-19T18:25:16Lisander ViaeneDesktop11000000001100000000-
skipped known factor: 5761297
--1.139--34.859%
2021-12-21T16:11:06Lisander ViaeneManual testing12500000001250000000-
skipped known factor: 5761297
--1.294--35.158%
2021-12-22T01:04:59Lisander ViaeneManual testing1000000000488172244560-
skipped known factor: 5761297
--28.51--54.393%
2022-01-02T13:56:29Lisander ViaeneDesktop1000000000140690053634130-
skipped known factor: 5761297
--7,936--67.376%
2022-01-03T17:56:21Lisander ViaeneManual testing100000000100000000-
skipped known factor: 5761297
--0.104--28.722%
2022-01-15T10:24:17mikrNitron50000000001639905100934100-
skipped known factor: 5761297
--92,491--72.738%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-18T20:50:30mikrNitron100000000021100000000017513--13.18


Trial Factoring results:
No TF results for M40009


ECM factoring results:

Old Calculation Method

Total ECM effort:18.372 GHz-days
Estimated T-Level:33.413
DigitsB1CurvesCompleteFacMiss
20110001953 / 10019.5300.000%
25500001953 / 2806.9750.092%
302500001670 / 6402.6097.343%
3510000001069 / 15660.68350.518%

New Calculation Method

Total ECM effort:18.372 GHz-days
Estimated T-Level:33.413
DigitsB1CompleteFacMiss
2011000243.6880.000%
255000045.1050.000%
302500006.5090.149%
3510000000.76846.381%
4030000000.07692.728%
45110000000.00699.375%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002830.211
250000250000006012.238
10000001000000001,01915.18
1000000100000000500.745


Lucas-Lehmer results:
No L-L results for M40009


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:51:27Oliver KruseDoppelherz
5761297
E8B83507D65B3C__no
2017-09-21T22:12:59Oliver KruseManual testing
5761297
E8B83507D65B3C__no
2017-10-13T05:51:14kkmrkkblmbrbkManual testing
5761297
E8B83507D65B3C__no
2020-04-17T13:48:44Oliver KruseManual testing
5761297
5BFDB85A0F9225__no
2021-09-17T13:01:08mikrNitron
5761297
8296597725135896301239024760071
5BFDB85A0F922510no


P-1 factor-bounds graph:
B1 = 5000000000, B2 = 1639905100934100 (P-1 stage 2)
B1 = 1000000000, B2 = 140690053634130 (P-1 stage 2)
B1 = 1000000000, B2 = 138908118479130 (P-1 stage 2)
B1 = 1000000000, B2 = 488172244560 (P-1 stage 2)
B1 = 5000000000 (P-1 stage 1)
B1 = 1250000000 (P-1 stage 1)
B1 = 1100000000 (P-1 stage 1)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-15T10:24:17+00:00