is 2 27826243 - 1
has 8376534 decimal digits
takes 25.759 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2694.290463.7681%285000344967002.88446.2126%7.174966.0191%2.2509%
PrimeNet2660.530762.1212%13000045000000.49415.2884%1.024864.1244%2.0032%
GPU722708.587264.2857%20000060000000.69263.9168%9.279865.6846%1.3989%
Difference-1-4.2968-0.5176%+85000+28496700+2.1918+2.2958%-2.1050+0.3345%+0.3345%

Known prime factors (4 factors, 165.1 bits, 0.00059332% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27826243946092263929.81717
17
-1172.580e-122.512e-62.732e-6
2782624353426386571032.31596
25 × 3
2008-09-0832322.099e-114.295e-58.742e-5
27826243186302818658471444.083334761
3 × 7 × 19 × 839
2008-10-01198391.229e-78.547e-50.0001
278262435316461755118714711858.8839552963645
32 × 5 × 919 × 230999
2015-10-089192309990.00140.01810.0316

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2782624350546290973924107911962.132
27826243176259655307870506417612373.900
27826243995348640872802702474792376.398
278262435029863333053216633635288732788.701
2782624328403934091359312833800544472891.198
27826243990471810268573046904072855093731102.966
278262439416916481173242039368897715497732106.215
27826243268727422825969810250553000082544356137121.016
27826243937077716414700911726279431392469710043140132.783
278262435291732982209647912617973806367960977160941135.281
278262435006467632330464534081965092941388011577847196116750165.098
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-21T03:33:30masserManual testing28500034496700-
skipped known factor: 946092263
skipped known factor: 5342638657
skipped known factor: 18630281865847
skipped known factor: 531646175511871471
--2.884--6.213%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-10-01T01:55:00markrManual testing??44.083143.86659e-853.047.96117e-8
2008-09-08T23:37:00Will EdgingtonManual testing??32.315104.27266e-1353.048.79726e-13
2015-10-08T11:50:16TJAOIManual testing258259*58.883186.72031e-553.030.000
2022-08-10T19:29:01LordJuliusManual testing2126544.083141.22889e-753.042.53023e-7
2022-08-10T19:29:01LordJuliusManual testing2126562.132190.02352.980.046
2022-08-10T19:29:01LordJuliusManual testing2126558.883180.00153.030.003
2022-08-10T19:29:01LordJuliusManual testing2126532.315102.09894e-1153.044.32165e-11
2022-08-10T19:29:01LordJuliusManual testing2126529.81792.57973e-1253.045.31157e-12
2022-08-10T19:29:01LordJuliusManual testing265266--0.269--
2022-08-10T19:29:01LordJuliusManual testing266267--0.537--
2022-08-10T19:29:01LordJuliusManual testing267268--1.074--
2022-08-05T12:41:58masserManual testing267269--3.223--


ECM factoring results:
No ECM results for M27826243


Lucas-Lehmer results:
No L-L results for M27826243


PRP results:
No PRP results for M27826243


P-1 factor-bounds graph:
B1 = 285000, B2 = 34496700 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-10T19:29:01+00:00