is 2 3465691 - 1
has 1043277 decimal digits
takes 0.364 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
Actual26817.198667.6471%3465691349967310029.536512.7555%46.735171.7739%4.1268%
PrimeNet2600.044363.3333%150002800000.00452.9037%0.048864.3980%1.0647%
GPU722641.027065.6250%190003600000.00571.8854%1.032766.2731%0.6481%
Difference+4+16.1715+2.0221%+3446691+3499313100+29.5308+10.8702%+45.7023+5.5008%+3.4787%

Known prime factors (2 factors, 156.0 bits, 0.00450145% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
346569129458373511031.456425
52 × 17
-25259.014e-113.807e-67.748e-6
34656913114769802816525267536574226692946243138124.5504493721169626093710513392894365
3 × 5 × 677 × 23369 × 47903 × 212923 × 907549 × 2045647
2022-01-2590754920456474.492e+100.14770.2813

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
34656919175605224903825133144508115576022251159106028147156.006
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-18T10:49:28Jocelyn LaroucheManual testing34656934656916-
skipped known factor: 2945837351
--0.079--3.499%
2022-01-25T02:35:17Jocelyn LaroucheManual testing100000011465685038124.5501.0950.7282.1917.522%
2022-07-16T18:21:00Jocelyn LaroucheManual testing34656913499673100-
skipped known factor: 2945837351
skipped known factor: 31147698028165252675365742266929462431
--29.54--12.756%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-02-28T12:18:16Jocelyn LaroucheManual testing265266--2.156--
2021-03-01T02:05:05Jocelyn LaroucheManual testing266267--4.312--
2021-03-18T10:49:34Jocelyn LaroucheManual testing267268--8.625--


ECM factoring results:
Total ECM effort:0.441 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.441


Lucas-Lehmer results:
No L-L results for M3465691


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T16:47:41kkmrkkblmbrbkc4.xlarge
2945837351
DA1A274FFD5EEE__no
2017-11-23T00:10:28Oliver KruseThreadripper
2945837351
DA1A274FFD5EEE__no
2022-02-01T22:02:08LordJuliusDarkTower
2945837351
31147698028165252675365742266929462431
DA1A274FFD5EEE99no


P-1 factor-bounds graph:
B1 = 3465691, B2 = 3499673100 (P-1 stage 2)
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 3465691 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 346569, B2 = 3465691 (P-1 stage 2)
B1 = 346569 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-07-16T18:21:00+00:00