is 2 34009583 - 1
has 10237905 decimal digits
takes 40.245 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
Actual2693.510462.3188%285000288105303.15576.1846%6.666164.6493%2.3304%
PrimeNet2670.873761.1940%15000055000000.75755.1849%1.631263.2061%2.0120%
GPU7227114.057263.3803%24000070000001.04373.8404%15.100964.7866%1.4064%
Difference-2-10.5468-1.0614%+45000+21810530+2.1119+2.3442%-8.4349-0.1374%+0.9241%

Known prime factors (3 factors, 173.0 bits, 0.00050882% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3400958319079047530428231650.76128049517
33 × 137 × 7583
-13775835.839e-60.00090.0013
340095832329204614788886711857.6933424335745
5 × 43 × 15927143
2015-08-0643159271430.00071.48902.7809
34009583278543587176723115512064.595409507501425
3 × 52 × 11 × 23 × 29 × 744187
2017-11-16297441870.14000.06960.1299

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3400958344439005553649945748066371255823333108.454
340095835314346339040679550801658330054847335115.355
34009583648785008671874048125790250315633872137122.287
3400958312378200017479976342629016228211483306766504806049
383
53173.048
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-30T17:38:01masserManual testing28500028810530-
skipped known factor: 1907904753042823
skipped known factor: 232920461478888671
skipped known factor: 27854358717672311551
--3.156--6.185%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-07-09T10:25:00TJAOIManual testing257258*57.693180.00082.880.000
2022-06-26T06:24:45LordJuliusManual testing2126450.761165.83927e-682.881.20251e-5
2022-06-26T06:24:45LordJuliusManual testing2126457.693180.00182.880.001
2017-11-16T15:38:30TJAOIManual testing264265*64.595200.03582.660.073
2022-11-25T06:49:07LordJuliusManual testing2126650.761165.83927e-682.881.20251e-5
2022-11-25T06:49:07LordJuliusManual testing2126657.693180.00182.880.001
2022-11-25T06:49:07LordJuliusManual testing2126664.595200.14082.660.288
2022-11-25T06:49:07LordJuliusManual testing266267--0.439--
2022-11-24T01:07:31masserManual testing267269--2.637--


ECM factoring results:
No ECM results for M34009583


Lucas-Lehmer results:
No L-L results for M34009583


PRP results:
No PRP results for M34009583


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