is 2 34026991 - 1
has 10243145 decimal digits
takes 40.265 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
Actual2693.508662.3188%285000288105303.15576.1850%6.664364.6494%2.3306%
PrimeNet2670.873261.1940%15000055000000.75755.1852%1.630863.2062%2.0122%
GPU7227114.050063.3803%24000070000001.04373.8407%15.093764.7867%1.4064%
Difference-2-10.5414-1.0614%+45000+21810530+2.1119+2.3443%-8.4295-0.1373%+0.9241%

Known prime factors (3 factors, 188.6 bits, 0.00055418% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
340269912266466300178750071857.6533330394833
3 × 1110131611
-311101316110.0009103.78193.83
34026991445705550889807898732065.273654929421896
23 × 113 × 1019 × 710971
2018-08-2810197109710.24270.06810.1241
34026991576864243690198355912065.645847656855245
5 × 41 × 4327 × 955607
2019-02-2743279556070.38860.09640.1668

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
340269911010176610894354514366299523184540411138122.926
340269911307443368101936737925540847432797413738123.298
34026991257111595522572248360408360669177776994340130.918
3402699158273476663709960592156727966941725996469701657017
5514601
57188.571
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-01T14:37:50masserManual testing28500028810530-
skipped known factor: 44570555088980789873
skipped known factor: 57686424369019835591
--3.156--6.185%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-08-28T15:17:47TJAOIManual testing265266*65.273200.02882.480.058
2019-02-27T14:05:07TJAOIManual testing265266*65.645200.17482.480.357
2022-11-25T06:49:08LordJuliusManual testing2126657.653180.00182.920.002
2022-11-25T06:49:08LordJuliusManual testing2126665.273200.24382.480.497
2022-11-25T06:49:09LordJuliusManual testing2126665.645200.38982.480.796
2022-11-25T06:49:09LordJuliusManual testing266267--0.439--
2022-11-24T16:00:03masserManual testing267269--2.635--


ECM factoring results:
No ECM results for M34026991


Lucas-Lehmer results:
No L-L results for M34026991


PRP results:
No PRP results for M34026991


P-1 factor-bounds graph:
B1 = 285000, B2 = 28810530 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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Last modified: 2022-11-25T06:49:09+00:00