is 2 27776213 - 1
has 8361474 decimal digits
takes 25.712 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
Actual2694.298263.7681%285000344967002.88446.2113%7.182666.0186%2.2505%
PrimeNet2660.531762.1212%13000045000000.49415.2871%1.025864.1239%2.0027%
GPU722708.602764.2857%20000060000000.69263.9159%9.295365.6842%1.3985%
Difference-1-4.3045-0.5176%+85000+28496700+2.1918+2.2954%-2.1127+0.3343%+0.3343%

Known prime factors (4 factors, 191.9 bits, 0.00069080% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2777621333613106399831341.61260507
36 × 83
-7297291.157e-80.00100.0020
2777621349727754133911342.17789515
5 × 17903
2008-09-085179032.902e-80.00130.0024
277762133201486310380011548.1865763000
23 × 3 × 53 × 17 × 113
2008-10-011251251.893e-60.00020.0003
2777621310777705196108136491959.90319400962248
23 × 32 × 269457809
2015-12-2292694578090.004119.70536.804

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27776213167150429072770295982123532683.789
2777621310761189998840244789029939832889.798
2777621315920272410565581562052713912890.363
27776213362272151502783447860754152796731101.515
27776213535951074119829671583984017375931102.080
2777621334504675642651700003919504847564933108.088
27776213535129810450618930913359926200041062635340131.975
277762131801498047949300941822914026778629821280609744143.692
27776213115980933366807417551337594447584844878127396746149.701
27776213171584002682809676078419732038637574037201575946150.266
2777621357674713386859978125173795519408823327037657413880
51492097
58191.878
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-19T22:33:38masserManual testing28500034496700-
skipped known factor: 3361310639983
skipped known factor: 4972775413391
skipped known factor: 320148631038001
--2.884--6.211%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-10-01T01:55:00markrManual testing??48.186155.43502e-752.941.11913e-6
2008-09-08T23:36:00Will EdgingtonManual testing??42.177137.92151e-952.941.63113e-8
2015-12-22T13:20:18TJAOIManual testing259260*59.903190.00152.940.003
2022-08-10T19:28:59LordJuliusManual testing2126559.903190.00452.940.008
2022-08-10T19:28:59LordJuliusManual testing2126548.186151.89349e-652.943.89891e-6
2022-08-10T19:28:59LordJuliusManual testing2126541.612131.15672e-852.942.38182e-8
2022-08-10T19:28:59LordJuliusManual testing2126542.177132.90151e-852.945.97453e-8
2022-08-10T19:28:59LordJuliusManual testing265266--0.269--
2022-08-10T19:28:59LordJuliusManual testing266267--0.538--
2022-08-10T19:28:59LordJuliusManual testing267268--1.076--
2022-08-03T12:34:05masserManual testing267269--3.228--


ECM factoring results:
No ECM results for M27776213


Lucas-Lehmer results:
No L-L results for M27776213


PRP results:
No PRP results for M27776213


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: 2022-08-10T19:28:59+00:00