is 2 114144209 - 1
has 34360831 decimal digits
takes 500.966 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
Actual2680.522260.2941%----0.522260.2941%0.0000%
PrimeNet2728.378362.5000%4500002400000011.02915.5315%19.407464.5743%2.0743%
GPU72276134.076064.4737%7000002600000013.22684.0659%147.302865.9182%1.4445%
Difference-8-133.5538-4.1796%-700000-26000000-13.2268-4.0659%-146.7806-5.6240%-5.6240%

Known prime factors (5 factors, 286.7 bits, 0.00025120% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
114144209160587204757931443.86870344
23 × 32 × 977
2007-09-2499771.259e-80.00040.0006
11414420957393132804928331652.35025140624
24 × 3 × 523763
2014-08-05165237638.901e-60.18170.3392
1141442099839670606588624471859.7714310192647
27509 × 156683
2015-12-13275091566830.00080.21990.3563
114144209113504861641753006072063.29949719938767
2087 × 23823641
2017-01-232087238236410.02278.272715.428
1141442092003870007113775546312167.441877779970035
3 × 5 × 599 × 1297 × 75323
2022-08-031297753230.39380.03390.0488

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
114144209921660276944409508192864915692996.218
1141442091580125198450832724694998024547132103.640
11414420918227428457484704687510184170635133107.168
114144209321795883140654519357239317054738334111.310
114144209564729521880690623016608531634235134112.121
1141442096514399598210145716949616688404963135115.649
114144209115008377442093597310921413406145962337119.791
1141442091116850450801265695165418771488860532938123.071
11414420919717420808421955061594341124505684205739127.213
114144209227448987905507705407893354261698996101740130.741
1141442099068833536310237525828705356066546976919620934347155.990
114144209104612922215274959258893009611031522059494608238349159.518
1141442091846887385717078221314878865248776336456661840603950163.660
11414420917935189202680927982353422633923687959891307530089
7
51166.939
11414420931663654926603261688823354232407826771969170928262
01
52171.081
11414420936525397192765710015130728450872336069148422762161
481
53174.609
11414420964099546246081116032910599283127614579500165150107
057
53175.421
11414420911316445510284185817784863736759633071667377156014
77481
55179.563
11414420913054009969207341258462852239172019491500109419217
891161
56183.091
11414420922380231207921557143664713614882218030304208895100
95228599
58190.512
11414420910293566957909831467216945395665798515172480157234
49275651926971201
67219.289
11414420918172763522919641915042176978809032670472244095067
396372858095117433
68223.431
11414420920963069718371588049317109389805234828091530705189
4294042912009165673
69226.959
11414420935939787715163141524473284787724645729326196876046
602732084072380804007
71234.381
11414420912844715819212435059980736348907403138214363671007
593657802805256516130967
74242.862
11414420920626970093172898891695596491434078257940582751130
9798544147074055890844095961741181831
87286.730
P-1 results:
No P-1 results for M114144209


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-08-05T10:35:00TJAOIManual testing??52.350163.64519e-61,0307.49166e-6
2015-12-13T12:52:19TJAOIManual testing259260*59.771188.83947e-51,0300.000
2022-03-22T20:21:38LordJuliusManual testing260263--0.013--
2017-01-23T17:23:49TJAOIManual testing263264*63.299200.0091,0300.018
2022-08-10T19:29:29LordJuliusManual testing2126763.299200.0231,0300.047
2022-08-10T19:29:29LordJuliusManual testing2126743.868141.25858e-81,0302.58666e-8
2022-08-10T19:29:29LordJuliusManual testing2126752.350168.90136e-61,0301.82942e-5
2022-08-10T19:29:29LordJuliusManual testing2126759.771180.0011,0300.002
2022-08-03T11:23:15TJAOIManual testing267268*67.441210.1331,0290.274
2022-08-10T19:29:29LordJuliusManual testing26726867.441210.1331,0290.274


ECM factoring results:
No ECM results for M114144209


Lucas-Lehmer results:
No L-L results for M114144209


PRP results:
No PRP results for M114144209


P-1 factor-bounds graph:
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
268
267
264
263
260
2
240
250
260
270
280
290
2100
Last modified: 2022-08-10T19:29:29+00:00