is 2 34004819 - 1
has 10236471 decimal digits
takes 40.239 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
Actual2693.510962.3188%285000288105303.15576.1845%6.666664.6492%2.3304%
PrimeNet2670.873861.1940%15000055000000.75755.1848%1.631363.2060%2.0120%
GPU7227114.059163.3803%24000070000001.04373.8404%15.102964.7866%1.4063%
Difference-2-10.5483-1.0614%+45000+21810530+2.1119+2.3442%-8.4363-0.1374%+0.9241%

Known prime factors (3 factors, 142.4 bits, 0.00041882% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
340048192173588030491237.6613196
22 × 17 × 47
-17479.109e-103.197e-55.936e-5
340048191651140711749531547.2302427804
22 × 32 × 17 × 3967
2008-09-091739678.263e-70.00040.0007
340048192079292240292473371857.5293057349372
22 × 7 × 11 × 271 × 36629
2015-08-06271366290.00110.00390.0064

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
34004819358889968771351771488316972684.892
34004819451952472539045701386907305132995.190
340048193433204069571789240956783635016132104.759
34004819746237127185079831391662738443970779844088943142.421
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-30T07:44:22masserManual testing28500028810530-
skipped known factor: 217358803049
skipped known factor: 165114071174953
skipped known factor: 207929224029247337
--3.156--6.185%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-09T20:48:00Will EdgingtonManual testing??47.230152.74963e-782.875.66249e-7
2015-06-26T11:21:00TJAOIManual testing257258*57.529180.00182.870.001
2022-11-25T04:44:47LordJuliusManual testing2126647.230158.26320e-782.871.70169e-6
2022-11-25T04:44:47LordJuliusManual testing2126657.529180.00182.870.002
2022-11-25T04:44:47LordJuliusManual testing2126637.661129.10910e-1082.871.87590e-9
2022-11-25T04:44:47LordJuliusManual testing266267--0.440--
2022-11-24T01:07:29masserManual testing267269--2.637--


ECM factoring results:
No ECM results for M34004819


Lucas-Lehmer results:
No L-L results for M34004819


PRP results:
No PRP results for M34004819


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: 2022-11-25T04:44:47+00:00