is 2 19079521 - 1
has 5743509 decimal digits
takes 12.163 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP3DAB27A01BE56F47verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27250.123665.2778%50000005011103790256.741811.9006%306.865369.4099%4.1322%
PrimeNet2650.382461.5385%9000028000000.21974.8353%0.602163.3982%1.8597%
GPU722696.257363.7681%14000040000000.32383.6038%6.581165.0739%1.3057%
Difference+3+43.8662+1.5097%+4860000+5007103790+256.4180+8.2968%+300.2842+4.3361%+4.3361%

Known prime factors (6 factors, 230.9 bits, 0.00120997% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19079521114477127926.7703
3
-134.689e-131.025e-61.881e-6
1907952113355664711030.31535
5 × 7
2008-09-08577.554e-124.723e-69.406e-6
1907952116789978491030.64544
22 × 11
2008-09-084117.569e-124.050e-67.525e-6
19079521254902400571134.569668
22 × 167
2008-09-0841671.373e-101.191e-51.540e-5
190795215206419690491238.92213644
22 × 32 × 379
2008-09-0893793.749e-92.695e-53.569e-5
190795219172070761871369526412169.63624036428277920
25 × 5 × 17 × 23 × 631 × 608897
2022-06-246316088979.05150.03120.0573

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
190795211528918125176088171857.085
190795211922068499926998231857.415
1907952122424132320055208791960.960
1907952129180494482656762391961.340
19079521340439099578703288472064.884
19079521427980582261966373932065.214
19079521596015968123524422232065.692
190795216953519572572641560792169.236
190795218741567461323955756012169.566
19079521132712887748081739957932373.491
190795212567050243467764783664346332787.730
1907952138972490038236862849497825692891.655
1907952148993987469137071858114099112891.985
19079521571596515908139627550356501032995.529
19079521796018943206384004680035050332996.007
190795211000709528449050071223137783273096.337
190795211049992309459735526938767424073096.406
1907952111674944405328864576814412740713199.881
1907952112249910179194826354324344999113199.951
19079521151925901052738973515449272671131100.261
19079521153998870800578206495265386920931100.281
190795211772468831459246664551522585650332103.806
190795212228246530636076952655418204925732104.136
190795212337982855398920917835453014053732104.205
1907952147753649817174714222883970080840933108.557
19079521654347269443736204768148600636869408137122.299
1907952113365140934067719069257847827486767401739126.652
1907952114023345233222788943069350416549303569739126.721
1907952117629348290494383018390720597248008254339127.051
19079521202907139522501775742191049080857770688140130.576
19079521205675728413113180008390871018395969143940130.596
19079521255083261074935572090907297083391384463940130.906
19079521267645560261324905574005719792358199719940130.976
190795212975971355439618680942430970981771966204741134.450
190795213122531511443640107441576940666013513492741134.520
190795213925468185213666257966831346536729070491341134.850
190795215466700634834236541281794549208623976094341135.328
1907952163778173563693828265090651363338265525463942138.872
1907952180178275324935588437411892342312227211224142139.202
190795211217251997437697627051684600217840237423931344143.127
1907952123545166482365465973194422807213534695974321575348157.366
19079521340680650805023368569819149953813624060255149896949161.221
19079521357458436397035541921883048516894693567820031472949161.290
19079521449376319973164394348883713845066143967224502495149161.620
190795215242723691148590625124536576546237316559175777202350165.165
190795217301142074879020967418972162633597766518252614215350165.643
190795219178578607013617624369332750981204308112157121160750165.973
1907952110708341622659060215166260542905386527664474282715
11
52169.517
1907952113934751150167898583959433354308192452528953626937
51
52169.897
1907952116257209545355668621264925361179867171380820572874
423
53173.441
1907952120437634853888478273321826555921786900604299538237
737
53173.771
1907952160017194581752598486339096448942883065988396846211
14017921
58191.935
1907952112258601838965273139522353342852688825115350358506
1155228897
60196.288
1907952118610786417892931369264597612173085240212929620851
58076822721
61200.212
1907952123396417207482177711318034505142310010874147749848
82774741599
61200.542
1907952127295819857394435555060605340566545082854112101711
103964116127
62204.086
1907952131247470363840646881299884102689146334011157135398
18965810325313327129
70230.857
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-07-12T03:17:38LordJuliusWhiteBox50000005011103790-
skipped known factor: 114477127
skipped known factor: 1335566471
skipped known factor: 1678997849
skipped known factor: 25490240057
skipped known factor: 520641969049
skipped known factor: 917207076187136952641
--256.7--11.901%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T15:28:00Will EdgingtonManual testing??30.315105.67966e-1425.171.17524e-13
2008-09-08T15:28:00Will EdgingtonManual testing??30.645107.14014e-1425.171.47745e-13
2008-09-08T15:28:00Will EdgingtonManual testing??34.569111.73441e-1125.173.58886e-11
2008-09-08T15:28:00Will EdgingtonManual testing??38.922121.82954e-925.173.78571e-9
2022-06-24T05:19:20LordJuliusManual testing2126526.77094.68876e-1325.179.70205e-13
2022-06-24T05:19:20LordJuliusManual testing2126530.315107.55394e-1225.171.56307e-11
2022-06-24T05:19:20LordJuliusManual testing2126530.645107.56855e-1225.171.56610e-11
2022-06-24T05:19:20LordJuliusManual testing2126557.415180.00125.170.003
2022-06-24T05:19:20LordJuliusManual testing2126534.569111.37298e-1025.172.84100e-10
2022-06-24T05:19:20LordJuliusManual testing2126561.340190.01725.140.036
2022-06-24T05:19:21LordJuliusManual testing2126557.085180.00225.170.004
2022-06-24T05:19:21LordJuliusManual testing2126560.960190.01425.150.028
2022-06-24T05:19:21LordJuliusManual testing2126564.884200.25824.790.526
2022-06-24T05:19:21LordJuliusManual testing2126538.922123.74881e-925.177.75709e-9
2022-06-24T05:19:22LordJuliusManual testing265266--0.392--
2022-06-24T05:19:22LordJuliusManual testing266267--0.783--
2022-06-24T05:19:22LordJuliusManual testing267268--1.567--
2022-06-24T05:19:22LordJuliusManual testing268269--3.133--
2022-06-24T05:24:58LordJuliusManual testing269270
skipped known factors(?)
--6.267--
2022-06-24T05:24:58LordJuliusManual testing26927069.636212.79424.795.694
2022-06-24T05:50:25LordJuliusManual testing270271--12.53--
2022-06-24T05:50:25LordJuliusManual testing271272--25.07--


ECM factoring results:
No ECM results for M19079521


Lucas-Lehmer results:
No L-L results for M19079521


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-24T08:37:45LordJuliusWhiteBox
114477127
1335566471
1678997849
25490240057
520641969049
917207076187136952641
3DAB27A01BE56F47no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 5011103790 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
2
220
230
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250
260
270
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290
2100
Last modified: 2022-07-12T03:17:38+00:00