is 2 34013197 - 1
has 10238993 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%15000055000000.75755.1849%1.631163.2061%2.0121%
GPU7227114.055763.3803%24000070000001.04373.8405%15.099464.7867%1.4064%
Difference-2-10.5457-1.0614%+45000+21810530+2.1119+2.3442%-8.4337-0.1373%+0.9241%

Known prime factors (3 factors, 133.6 bits, 0.00039282% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34013197544211153929.0208
23
-882.106e-121.373e-52.794e-5
340131975991084519591239.1248807
8807
2008-09-09188074.105e-90.00080.0015
34013197509968320932354855992065.467749662433867
31 × 51361 × 470837
2018-11-29513614708370.23100.12730.1794

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
340131973260415014126524987272168.144
34013197277530447928070871183466856472994.487
340131973055263313019136133286252783844132104.591
340131971662708370296743986159673306545257433247341133.611
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-30T23:09:27masserManual testing28500028810530-
skipped known factor: 544211153
skipped known factor: 599108451959
skipped known factor: 50996832093235485599
--3.156--6.185%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-09T20:48:00Will EdgingtonManual testing??39.124121.95140e-982.894.01861e-9
2018-11-29T14:15:36TJAOIManual testing265266*65.467200.01782.450.034
2022-11-25T06:49:07LordJuliusManual testing2126665.467200.23182.450.473
2022-11-25T06:49:07LordJuliusManual testing2126629.02092.10638e-1282.894.33777e-12
2022-11-25T06:49:07LordJuliusManual testing2126639.124124.10461e-982.898.45282e-9
2022-11-25T06:49:07LordJuliusManual testing266267--0.439--
2022-11-24T01:07:31masserManual testing267269--2.636--


ECM factoring results:
No ECM results for M34013197


Lucas-Lehmer results:
No L-L results for M34013197


PRP results:
No PRP results for M34013197


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