is 2 27824897 - 1
has 8376129 decimal digits
takes 25.757 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
Actual2692.142163.2353%285000344967002.88446.8299%5.026665.7463%2.5110%
PrimeNet2660.530862.1212%13000045000000.49415.2883%1.024864.1244%2.0032%
GPU722708.587764.2857%20000060000000.69263.9168%9.280365.6846%1.3989%
Difference-1-6.4455-1.0504%+85000+28496700+2.1918+2.9131%-4.2537+0.0617%+0.0617%

Known prime factors (4 factors, 166.9 bits, 0.00059983% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27824897222599177927.7304
22
-446.432e-135.369e-61.093e-5
2782489781805197191032.930147
3 × 72
2008-09-0849492.122e-116.577e-50.0001
27824897223883016747591444.348402307
402307
2008-10-0114023079.092e-80.02940.0549
2782489742896799003354849291961.89677083482112
211 × 73 × 13 × 23 × 367
2016-06-09204820480.01530.00270.0056

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2782489718209769568816712631960.659
2782489749836175272290750733432272.078
278248971831479433252867240727212477.277
278248979548792154081209690913034332789.625
27824897350918110128923891771118149512994.825
278248974076858145345146806761378275061732105.007
278248979603864769686095744188710420711132106.243
27824897781140825090938222038879724506889532737122.555
278248972137812393751419460999609472341614614764741133.973
2782489778564605127026499675457725253807939552180942139.173
2782489717488416442606079284947656739789763460381216895119
3
51166.903
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-21T03:33:30masserManual testing28500034496700-
skipped known factor: 222599177
skipped known factor: 8180519719
skipped known factor: 22388301674759
skipped known factor: 4289679900335484929
--2.884--6.830%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-10-01T01:55:00markrManual testing??44.348146.69074e-953.031.37760e-8
2008-09-08T23:37:00Will EdgingtonManual testing??32.930106.54283e-1353.031.34715e-12
2016-06-09T16:47:21TJAOIManual testing261262*61.896190.00453.010.009
2022-08-10T19:29:00LordJuliusManual testing2126560.659190.00653.020.012
2022-08-10T19:29:00LordJuliusManual testing2126527.73096.43155e-1353.031.32424e-12
2022-08-10T19:29:00LordJuliusManual testing2126544.348149.09175e-853.031.87196e-7
2022-08-10T19:29:00LordJuliusManual testing2126561.896190.01553.010.032
2022-08-10T19:29:00LordJuliusManual testing2126532.930102.12174e-1153.034.36861e-11
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 M27824897


Lucas-Lehmer results:
No L-L results for M27824897


PRP results:
No PRP results for M27824897


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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2
220
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2100
Last modified: 2022-08-10T19:29:01+00:00