is 2 34013351 - 1
has 10239039 decimal digits
takes 40.249 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
Actual2693.510062.3188%285000288105303.15576.1847%6.665764.6493%2.3305%
PrimeNet2670.873661.1940%15000055000000.75755.1850%1.631163.2061%2.0121%
GPU7227114.055663.3803%24000070000001.04373.8405%15.099464.7867%1.4064%
Difference-2-10.5456-1.0614%+45000+21810530+2.1119+2.3442%-8.4337-0.1373%+0.9241%

Known prime factors (3 factors, 138.4 bits, 0.00040704% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3401335168026703826.0201
1
-112.629e-131.716e-63.492e-6
340133517055071713231671549.32610371033
32 × 1152337
2008-09-09911523373.996e-60.10770.2012
3401335199007147688801463831963.102145541595841
145541595841
2016-12-1411455415958410.100213,60625,412

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
34013351479933268079711985284012375.345
340133516735129830703233605928652492789.122
34013351698502527067013520245090275915496134112.428
3401335147516823953537189838697243407891506292358342138.447
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-01T00:15:56masserManual testing28500028810530-
skipped known factor: 68026703
skipped known factor: 705507171323167
--3.156--6.185%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-09T20:48:00Will EdgingtonManual testing??49.326151.79110e-682.893.68850e-6
2016-12-14T17:17:39TJAOIManual testing263264*63.102190.05382.780.109
2022-11-25T06:49:07LordJuliusManual testing2126626.02082.62899e-1382.895.41399e-13
2022-11-25T06:49:07LordJuliusManual testing2126649.326153.99598e-682.898.22910e-6
2022-11-25T06:49:07LordJuliusManual testing2126663.102190.10082.780.206
2022-11-25T06:49:07LordJuliusManual testing266267--0.439--
2022-11-24T01:07:31masserManual testing267269--2.636--


ECM factoring results:
No ECM results for M34013351


Lucas-Lehmer results:
No L-L results for M34013351


PRP results:
No PRP results for M34013351


P-1 factor-bounds graph:
B1 = 285000, B2 = 28810530 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-11-25T06:49:07+00:00