is 2 34004723 - 1
has 10236442 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%
GPU7227114.059263.3803%24000070000001.04373.8404%15.102964.7866%1.4063%
Difference-2-10.5483-1.0614%+45000+21810530+2.1119+2.3442%-8.4364-0.1374%+0.9241%

Known prime factors (3 factors, 127.4 bits, 0.00037465% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3400472398613696711033.199145
5 × 29
-5293.471e-111.082e-51.746e-5
34004723285639673211134.733420
22 × 3 × 5 × 7
2008-09-09577.342e-118.766e-61.746e-5
340047237966320565307357931859.46711713550152
23 × 11549 × 126781
2015-11-23115491267810.00330.03060.0403

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
340047232816798410227445213912167.933
3400472378558832012185554284043341032892.666
34004723227549720296049618233370205532994.200
3400472322439519103719968463576855449285784806339127.399
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-30T07:11:14masserManual testing28500028810530-
skipped known factor: 9861369671
skipped known factor: 28563967321
skipped known factor: 796632056530735793
--3.156--6.185%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-09T20:48:00Will EdgingtonManual testing??34.733116.11859e-1282.871.26004e-11
2015-11-23T12:08:23TJAOIManual testing259260*59.467180.00182.860.002
2022-11-25T04:44:47LordJuliusManual testing2126634.733117.34231e-1182.871.51205e-10
2022-11-25T04:44:47LordJuliusManual testing2126659.467180.00382.860.007
2022-11-25T04:44:47LordJuliusManual testing2126633.199103.47085e-1182.877.14774e-11
2022-11-25T04:44:47LordJuliusManual testing266267--0.440--
2022-11-24T01:07:29masserManual testing267269--2.637--


ECM factoring results:
No ECM results for M34004723


Lucas-Lehmer results:
No L-L results for M34004723


PRP results:
No PRP results for M34004723


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