is 2 27760451 - 1
has 8356729 decimal digits
takes 25.698 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
Actual2694.300663.7681%285000344967002.88446.2109%7.185066.0184%2.2503%
PrimeNet2660.532062.1212%13000045000000.49415.2867%1.026164.1238%2.0026%
GPU722708.607664.2857%20000060000000.69263.9156%9.300265.6841%1.3984%
Difference-1-4.3070-0.5176%+85000+28496700+2.1918+2.2953%-2.1151+0.3343%+0.3343%

Known prime factors (5 factors, 265.6 bits, 0.00095673% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2776045155520903825.7271
1
-111.611e-131.342e-62.732e-6
2776045122699165573691341.04640884
22 × 3 × 3407
2008-09-08434071.952e-80.00030.0005
277604517958621488829211549.50014334460
22 × 5 × 72 × 14627
2014-04-3049146274.584e-60.00110.0020
2776045112734608844888190971960.14322936602948
22 × 3 × 7 × 139 × 233 × 8431
2016-01-1523384310.00930.00090.0012
277604516993946515024770057776210572789.17612596961257986712928
25 × 3 × 232 × 1553 × 47659 × 3351371
2022-05-194765933513718,668,7590.30560.4578

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
277604511260278169997781842072166.772
27760451441869851695002151976632375.226
27760451707036982419979296690845912685.870
2776045118065406691326145653607948492890.545
27760451289064994686294201603446327579331101.189
27760451101349931604761680611559300194233734109.643
277604513883102260478783009750973827645447135114.903
2776045110030076925646698741978385081422864736116.272
2776045116049149530673255796687388019236540107939126.916
27760451158756749958079410833082071248808291903340130.222
277604515627039721684607607351364584831930417031141135.369
2776045155662173026198300223800440517223339726749742138.676
2776045189065173150909375796131292189171489589092552945149.320
27760451230055887837864243621481401243889773329043135346150.689
277604518814318115017781035160698868844174040358804679947155.949
277604513090414109356772285490502549314026874304916598979150164.402
2776045149449788391898438153675532488996479238415174875832
687
53175.046
2776045112772910633224940397276637594766083447693790997807
1759
54176.415
2776045112634848817130565828992859817652126506344041218395
35393
55179.722
2776045120217051122018610061885903635477758714843859209148
35173201
58190.365
2776045170883600094512175718022317278985680675690317281288
8150990209
60198.819
2776045170149821559557088372662715762846140350245639711453
026119819879
62205.448
2776045111224689342916364134407912528127080002642505672967
8234912280920503
66216.092
2776045139355214851382013403592724294817879151839765638136
600180976747838727
68224.546
2776045116089985750045600093530721412702701980761011477071
04347689747081705800121
73239.865
2776045189333053809966400836971011107468968451173998440034
812898960721817920803055429263
80265.592
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-19T22:33:36masserManual testing285000344967002789.1762.88451.405.7696.211%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T23:36:00Will EdgingtonManual testing??41.046138.96301e-952.921.84562e-8
2014-04-30T11:38:00TJAOIManual testing??49.500151.88287e-652.923.87712e-6
2016-01-15T13:04:48TJAOIManual testing260261*60.143190.00452.900.008
2022-08-10T19:28:58LordJuliusManual testing2126560.143190.00952.900.019
2022-08-10T19:28:58LordJuliusManual testing2126541.046131.95158e-852.924.01860e-8
2022-08-10T19:28:58LordJuliusManual testing2126525.72781.61058e-1352.923.31642e-13
2022-08-10T19:28:58LordJuliusManual testing2126549.500154.58438e-652.929.43996e-6
2022-08-10T19:28:58LordJuliusManual testing265266--0.269--
2022-08-10T19:28:59LordJuliusManual testing266267--0.538--
2022-08-10T19:28:59LordJuliusManual testing267268--1.077--
2022-08-03T12:34:04masserManual testing267269--3.230--


ECM factoring results:
No ECM results for M27760451


Lucas-Lehmer results:
No L-L results for M27760451


PRP results:
No PRP results for M27760451


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