is 2 34027541 - 1
has 10243311 decimal digits
takes 40.266 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
Actual2693.508562.3188%285000288105303.15576.1850%6.664264.6494%2.3306%
PrimeNet2670.873261.1940%15000055000000.75755.1852%1.630763.2062%2.0122%
GPU7227114.049763.3803%24000070000001.04373.8407%15.093564.7867%1.4064%
Difference-2-10.5412-1.0614%+45000+21810530+2.1119+2.3443%-8.4293-0.1373%+0.9241%

Known prime factors (3 factors, 158.1 bits, 0.00046453% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34027541189873678791134.144279
32 × 31
-9317.132e-111.750e-53.143e-5
3402754113090883505745376331960.18319235717776
24 × 11 × 2557 × 42743
2016-01-192557427430.00580.00810.0089
34027541154140843070469037192063.741226494243399
3 × 41 × 397 × 4638329
2017-04-2639746383290.04740.43430.8099

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
34027541248561420984720670481008904072994.328
340275412926728892558203530205462420013097.885
340275412017839820112889607474774693269315712738123.924
3402754138313466985378618286839455313743882659629972363348158.068
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-01T17:23:41masserManual testing28500028810530-
skipped known factor: 18987367879
skipped known factor: 1309088350574537633
skipped known factor: 15414084307046903719
--3.156--6.185%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-01-19T12:17:43TJAOIManual testing260261*60.183190.00182.910.003
2022-06-26T06:24:45LordJuliusManual testing261263--0.038--
2017-04-26T15:40:17TJAOIManual testing263264*63.741200.00082.820.001
2022-11-25T06:49:09LordJuliusManual testing2126660.183190.00682.910.012
2022-11-25T06:49:09LordJuliusManual testing2126663.741200.04782.820.097
2022-11-25T06:49:09LordJuliusManual testing2126634.144117.13212e-1182.921.46873e-10
2022-11-25T06:49:09LordJuliusManual testing266267--0.439--
2022-11-24T16:00:05masserManual testing267269--2.635--


ECM factoring results:
No ECM results for M34027541


Lucas-Lehmer results:
No L-L results for M34027541


PRP results:
No PRP results for M34027541


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: 2022-11-25T06:49:09+00:00