is 2 34004251 - 1
has 10236300 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%15.103164.7866%1.4063%
Difference-2-10.5484-1.0614%+45000+21810530+2.1119+2.3442%-8.4365-0.1374%+0.9241%

Known prime factors (3 factors, 141.9 bits, 0.00041744% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
340042511303042898331236.9231916
22 × 479
-44793.809e-105.127e-58.371e-5
3400425116555989726891340.59024344
23 × 17 × 179
2008-09-09171795.467e-94.431e-55.936e-5
34004251249402722081370156012064.435366722857800
23 × 32 × 52 × 13 × 3917 × 4001
2017-10-09391740010.20880.00670.0137

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
340042512157316483844845073709372477.514
34004251324982445832300058184834668463331101.358
340042514129108904637566061556996592108932105.026
34004251538040603461914565904807203187151386298813743141.949
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-30T06:04:52masserManual testing28500028810530-
skipped known factor: 130304289833
skipped known factor: 1655598972689
skipped known factor: 24940272208137015601
--3.156--6.184%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-09T20:47:00Will EdgingtonManual testing??40.590131.15987e-982.872.38860e-9
2017-10-09T13:42:15TJAOIManual testing264265*64.435200.10482.650.214
2022-11-25T04:44:47LordJuliusManual testing2126636.923123.80873e-1082.877.84358e-10
2022-11-25T04:44:47LordJuliusManual testing2126640.590135.46742e-982.871.12594e-8
2022-11-25T04:44:47LordJuliusManual testing2126664.435200.20982.650.429
2022-11-25T04:44:47LordJuliusManual testing266267--0.440--
2022-11-24T01:07:28masserManual testing267269--2.637--


ECM factoring results:
No ECM results for M34004251


Lucas-Lehmer results:
No L-L results for M34004251


PRP results:
No PRP results for M34004251


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