is 2 27828347 - 1
has 8377168 decimal digits
takes 25.761 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
Actual2692.141963.2353%285000344967002.88446.8300%5.026365.7463%2.5110%
PrimeNet2660.530762.1212%13000045000000.49415.2884%1.024864.1244%2.0032%
GPU722708.586664.2857%20000060000000.69263.9169%9.279265.6846%1.3989%
Difference-1-6.4447-1.0504%+85000+28496700+2.1918+2.9132%-4.2529+0.0617%+0.0617%

Known prime factors (4 factors, 164.5 bits, 0.00059113% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27828347222626777927.7304
22
-446.431e-135.369e-61.093e-5
278283471008499295291236.5531812
22 × 3 × 151
2008-09-0841514.580e-101.612e-52.120e-5
27828347214569912976571444.287385524
22 × 32 × 10709
2008-10-019107091.218e-70.00080.0015
27828347687292659330178011755.9321234878700
22 × 52 × 11 × 37 × 30341
2015-02-2337303410.00030.00230.0041

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27828347224518947717183980332064.283
2782834747769008167144255614892272.017
2782834721639360602730747128135532580.840
27828347153009749602436509202573772683.662
2782834769313416259247456651525457292892.485
27828347147472326101911666872107059225731100.218
2782834748175011073267236319388190630868133108.570
27828347154310224646556577197763246899238543337120.215
2782834732831288656761567934434865794365706568939127.948
2782834714872573694855498876234920778655274305695342136.772
278283473311033147380661195543302307802354112727857383048150164.502
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-21T03:33:30masserManual testing28500034496700-
skipped known factor: 222626777
skipped known factor: 100849929529
skipped known factor: 21456991297657
skipped known factor: 68729265933017801
--2.884--6.830%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-10-01T01:55:00markrManual testing??44.287143.76239e-853.047.74661e-8
2008-09-08T23:37:00Will EdgingtonManual testing??36.553121.29025e-1053.042.65656e-10
2015-02-23T12:51:00TJAOIManual testing255256*55.932170.00053.040.000
2022-08-10T19:29:01LordJuliusManual testing2126536.553124.57994e-1053.049.42992e-10
2022-08-10T19:29:01LordJuliusManual testing2126544.287141.21840e-753.042.50864e-7
2022-08-10T19:29:01LordJuliusManual testing2126527.73096.43076e-1353.041.32407e-12
2022-08-10T19:29:02LordJuliusManual testing2126564.283200.22152.780.453
2022-08-10T19:29:02LordJuliusManual testing2126555.932170.00053.040.001
2022-08-10T19:29:02LordJuliusManual testing265266--0.269--
2022-08-10T19:29:02LordJuliusManual testing266267--0.537--
2022-08-10T19:29:02LordJuliusManual testing267268--1.074--
2022-08-05T12:41:58masserManual testing267269--3.222--


ECM factoring results:
No ECM results for M27828347


Lucas-Lehmer results:
No L-L results for M27828347


PRP results:
No PRP results for M27828347


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: 2022-08-10T19:29:02+00:00