is 2 27826873 - 1
has 8376724 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
Actual2692.142063.2353%285000344967002.88446.8300%5.026465.7463%2.5110%
PrimeNet2660.530762.1212%13000045000000.49415.2884%1.024864.1244%2.0032%
GPU722708.587064.2857%20000060000000.69263.9168%9.279765.6846%1.3989%
Difference-1-6.4451-1.0504%+85000+28496700+2.1918+2.9132%-4.2532+0.0617%+0.0617%

Known prime factors (4 factors, 174.9 bits, 0.00062857% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27826873166961239927.3153
3
-136.430e-131.489e-62.732e-6
27826873287173329371134.741516
22 × 3 × 43
2008-09-084439.143e-118.221e-61.093e-5
2782687390236874126520391653.003162139803
3 × 7 × 7720943
2014-09-01777209435.155e-50.56461.0546
2782687310413762321978326171959.85318711700596
22 × 33 × 11257 × 15391
2015-12-1811257153910.00450.01540.0308

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2782687347946814879370289431962.056
2782687315066060307650887073163212580.318
278268731738694659929018268489324632787.168
278268732591362357485447100949085432787.744
27826873299055479727037785121870061292994.594
27826873939705359831858919677195978575606334112.856
278268734326570699037311724434173793096477735115.059
27826873499306734249656104037631914299843383137121.909
27826873156894371172467996902506120628800683024205743140.171
2782687326985831680974878935983177483353205143734703145147.597
2782687345055878929010185150267529957775530054191191168731
409
53174.912
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-21T03:33:30masserManual testing28500034496700-
skipped known factor: 166961239
skipped known factor: 28717332937
skipped known factor: 9023687412652039
skipped known factor: 1041376232197832617
--2.884--6.830%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T23:37:00Will EdgingtonManual testing??34.741119.18601e-1253.041.89137e-11
2014-09-01T11:11:00TJAOIManual testing??53.003168.42820e-653.041.73533e-5
2015-12-18T12:32:26TJAOIManual testing259260*59.853190.00253.030.004
2022-08-10T19:29:01LordJuliusManual testing2126559.853190.00553.030.009
2022-08-10T19:29:01LordJuliusManual testing2126527.31596.42971e-1353.041.32385e-12
2022-08-10T19:29:01LordJuliusManual testing2126534.741119.14328e-1153.041.88257e-10
2022-08-10T19:29:01LordJuliusManual testing2126562.056190.05452.980.111
2022-08-10T19:29:01LordJuliusManual testing2126553.003165.15492e-553.040.000
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 M27826873


Lucas-Lehmer results:
No L-L results for M27826873


PRP results:
No PRP results for M27826873


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