is 2 27819391 - 1
has 8374472 decimal digits
takes 25.752 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
Actual2694.291563.7681%285000344967002.88446.2124%7.175966.0190%2.2509%
PrimeNet2660.530962.1212%13000045000000.49415.2882%1.024964.1243%2.0031%
GPU722708.589464.2857%20000060000000.69263.9167%9.282065.6845%1.3988%
Difference-1-4.2979-0.5176%+85000+28496700+2.1918+2.2957%-2.1060+0.3345%+0.3345%

Known prime factors (4 factors, 213.3 bits, 0.00076658% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27819391245957356097031444.483442061
442061
-14420611.419e-70.03230.0604
278193915054723811203271548.8459084893
641 × 14173
2008-09-08641141731.924e-60.00180.0019
278193913749016066027985431858.3796738134681
45823 × 147047
2015-09-01458231470470.00240.06890.1252
2781939133788637179773928391961.55160728570909
17 × 3572268877
2016-05-091735722688770.0146261.24487.92

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27819391124324650440425931915517328812993.328
27819391922098079565531747256018506272931102.863
278193918310563866859003570091201111681732106.035
2781939118950240777535268641123582328356133107.224
27819391170792228900711379709474540713835334110.396
27819391126674143636162977322633474428783357737119.931
27819391466095111904470073436471629497901137579199238346151.707
278193914200760506233772744269043135649959769293023915947154.879
278193913115643745460606404437978201721229098051909039763150164.414
2781939164030281010149617532629130082120256827385898781967
9
51168.775
2781939115748718627406267259151521952769365735172912576057
698919686745337
65213.259
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-21T03:33:29masserManual testing28500034496700-
skipped known factor: 24595735609703
skipped known factor: 505472381120327
skipped known factor: 374901606602798543
--2.884--6.212%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T23:37:00Will EdgingtonManual testing??48.845155.75627e-753.021.18521e-6
2015-09-01T11:05:00TJAOIManual testing258259*58.379180.00153.020.002
2022-06-25T07:44:48LordJuliusManual testing2126144.483141.41883e-753.022.92134e-7
2022-06-25T07:44:48LordJuliusManual testing2126158.379180.00253.020.005
2022-06-25T07:44:48LordJuliusManual testing2126148.845151.92352e-653.023.96050e-6
2016-05-09T15:14:04TJAOIManual testing261262*61.551190.00453.000.007
2022-08-10T19:28:59LordJuliusManual testing2126544.483141.41883e-753.022.92134e-7
2022-08-10T19:28:59LordJuliusManual testing2126561.551190.01553.000.030
2022-08-10T19:28:59LordJuliusManual testing2126558.379180.00253.020.005
2022-08-10T19:28:59LordJuliusManual testing2126548.845151.92352e-653.023.96050e-6
2022-08-10T19:28:59LordJuliusManual testing265266--0.269--
2022-08-10T19:28:59LordJuliusManual testing266267--0.537--
2022-08-10T19:28:59LordJuliusManual testing267268--1.074--
2022-08-05T12:41:57masserManual testing267269--3.223--


ECM factoring results:
No ECM results for M27819391


Lucas-Lehmer results:
No L-L results for M27819391


PRP results:
No PRP results for M27819391


P-1 factor-bounds graph:
B1 = 285000, B2 = 34496700 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
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100
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1010
TF factor-bounds graph:
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2
240
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2100
Last modified: 2022-08-10T19:28:59+00:00