is 2 23019313 - 1
has 6929504 decimal digits
takes 17.492 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
Actual2671.290862.6866%----1.290862.6866%0.0000%
PrimeNet2650.316961.5385%11000036000000.33075.3631%0.647763.6012%2.0627%
GPU722695.186463.7681%17000050000000.47733.9914%5.663665.2143%1.4461%
Difference-2-3.8955-1.0815%-170000-5000000-0.4773-3.9914%-4.3728-2.5277%-2.5277%

Known prime factors (5 factors, 262.8 bits, 0.00114155% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2301931327623175611031.36360
22 × 3 × 5
-451.259e-114.467e-68.970e-6
23019313271010400789161271754.589588658751
109 × 281 × 19219
2015-08-06281192190.00010.00140.0022
23019313364776280072516011755.018792326600
23 × 52 × 13 × 19 × 43 × 373
2014-12-31433730.00036.719e-59.643e-5
230193137037254631270759291859.28815285544428
22 × 3 × 7 × 11 × 16542797
2015-11-1011165427970.00470.99311.8548
2301931366091658342044879691962.519143556973968
24 × 3 × 31 × 83 × 1162367
2016-08-238311623670.03050.06990.1303

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
23019313748616789313548434582062472685.952
230193131007627924280565327876651612786.381
2301931319439132049187798132570891692890.651
23019313182566148473842715817819236092993.882
2301931398858165860831905324406426546932733109.607
230193131907169198076069785613630115160698335113.877
230193132567023566318032873795417893381232935114.306
2301931317911526816097896696353007653157606336117.108
2301931324108669273834802163614063116048836936117.537
23019313465103828755920042095904993162999820137121.807
23019313273077647605626654146697273951848787895144743140.970
230193135268206967643814982662035628066849251112846344145.240
230193137090934276741150318260379568220605307500956944145.669
2301931349477325068429637539499797695484652983214234345148.472
2301931366595800507454991829511921772024083102494800945148.900
230193131284764473860814714993377608801739338502070776147153.170
2301931369569008554307219405591376803854698564361834952978
3
51168.895
2301931365337001223953073304313629363420635463250175100268
63
52172.126
2301931312604797503971532115931243099795969264908329503988
7527
54176.396
2301931316965884450106901483029021197125157546000525458436
9801
54176.825
2301931319217169403092205435314504173545588633669818544879
55673419263
61200.258
2301931318048154586400406822842583544222207236991532881579
697246641143
62203.489
2301931334818453498069530407912360683126481417472539644042
5511296961647
63207.759
2301931346865160554427122293868008725460065404208916789068
0457420375361
63208.188
2301931345979311445660703329959022563534336113848304826530
47443140499430680727
70231.414
2301931312700945944903685805595698543764613487375966771240
618822353150567679874376346847
80262.777
P-1 results:
No P-1 results for M23019313


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-12-02T12:25:00TJAOIManual testing254255*54.589173.27429e-536.016.74066e-5
2014-12-31T11:53:00TJAOIManual testing255256*55.018175.50603e-536.010.000
2015-11-10T12:12:21TJAOIManual testing259260*59.288180.00136.000.003
2022-06-24T04:22:38LordJuliusManual testing2126054.589170.00036.010.000
2022-06-24T04:22:38LordJuliusManual testing2126031.363101.25894e-1136.012.59175e-11
2022-06-24T04:22:38LordJuliusManual testing2126055.018170.00036.010.001
2022-06-24T04:22:38LordJuliusManual testing2126059.288180.00536.000.010
2022-03-28T22:24:12LordJuliusManual testing260262--0.020--
2016-08-23T15:24:17TJAOIManual testing262263*62.519190.00435.940.008


ECM factoring results:
No ECM results for M23019313


Lucas-Lehmer results:
No L-L results for M23019313


PRP results:
No PRP results for M23019313


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
263
262
260
256
255
230
240
250
260
270
280
290
2100
Last modified: 2022-06-24T04:22:38+00:00