is 2 34004161 - 1
has 10236273 decimal digits
takes 40.238 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%
GPU7227114.059463.3803%24000070000001.04373.8403%15.103264.7866%1.4063%
Difference-2-10.5485-1.0614%+45000+21810530+2.1119+2.3442%-8.4365-0.1374%+0.9241%

Known prime factors (3 factors, 136.9 bits, 0.00040270% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34004161285634952411134.733420
22 × 3 × 5 × 7
-577.342e-118.766e-61.746e-5
340041611266896426793111546.8481862855
5 × 19 × 19609
2008-09-0919196093.351e-70.00190.0034
34004161460315372064825931755.353676851536
24 × 199 × 212579
2015-08-061992125790.00020.02020.0371

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3400416136186990057544902376589512581.582
3400416113148215939332799795048399132890.087
34004161583171900066868935767460273342331102.202
3400416116657427792244938428564586200269345213994342136.935
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-30T05:30:02masserManual testing28500028810530-
skipped known factor: 28563495241
skipped known factor: 126689642679311
skipped known factor: 46031537206482593
--3.156--6.184%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-09T20:47:00Will EdgingtonManual testing??46.848155.93735e-882.871.22272e-7
2015-01-20T12:28:00TJAOIManual testing255256*55.353179.33669e-582.870.000
2022-11-25T04:44:47LordJuliusManual testing2126646.848153.35057e-782.876.90006e-7
2022-11-25T04:44:47LordJuliusManual testing2126634.733117.34243e-1182.871.51208e-10
2022-11-25T04:44:47LordJuliusManual testing2126655.353170.00082.870.000
2022-11-25T04:44:47LordJuliusManual testing266267--0.440--
2022-11-24T01:07:27masserManual testing267269--2.637--


ECM factoring results:
No ECM results for M34004161


Lucas-Lehmer results:
No L-L results for M34004161


PRP results:
No PRP results for M34004161


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