is 2 18367 - 1
has 5530 decimal digits
takes 0.000 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-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671,617.788377.6119%4000000004000000000.17068.0159%1,617.958979.4066%1.7946%
PrimeNet2400.000062.5000%500100000.00003.6151%0.000063.8557%1.3557%
GPU722440.000165.9091%500100000.00001.5201%0.000166.4273%0.5182%
Difference+23+1,617.7882+11.7028%+399999500+399990000+0.1706+6.4958%+1,617.9588+12.9792%+1.2764%

Known prime factors (5 factors, 249.0 bits, 1.35560005% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18367440809618.75012
22 × 3
-441.906e-121.706e-93.472e-9
183671066811563031236.6352904153
3 × 7 × 41 × 3373
2008-08-264133737.998e-79.492e-81.465e-7
1836719055573319911340.79351874485
3 × 5 × 13 × 266023
2008-08-26132660239.917e-66.187e-61.155e-5
1836782049470582256167772572272.797223361111183797484
22 × 23 × 47 × 51656131171091
2008-08-29475165613117109195,1731,200.42,242.1
1836712160014514624836029445432580.00833102887011011150513
3 × 19 × 641 × 911 × 2011 × 12451 × 39719
2008-08-26124513971915,851,0835.945e-61.081e-5

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18367470260138287691271755.384
183678399868219576207191859.543
183672032870595784595331892732477.428
1836736168145077893759059658809132891.547
18367896107654457211683656302418572996.178
183675360243838177259345303810552873098.758
1836787531323957640706525313315260087133109.431
183671563499702539981043660025664732868735113.590
1836712972444090814408118630138282390452936116.643
18367231716048154603373945758835061277511337120.802
1836738584595382443642202716837186483734463939128.181
18367689204740376946503874732253245231118778340132.340
183675718370107227808428365232626122253152396141135.393
18367102142519470982558665656006324526678478641743139.552
18367166795956146361723825352265132358640526276416146150.225
18367997722753197518496397186808494204778735465855146152.805
1836724719735951094717244878656127115342765854148723948157.436
1836773525158632921565117729706640729879971747380704624
9
51168.975
1836743980516911424493087834751986552191430960196812077
59
52171.555
1836710896682084866111213997715528737587129273401444833
6351
54176.186
1836710643821698092396374588182828645998806996776357744
26496953
58189.440
1836719012179076497783102364972406322371143523568056128
354005041
59193.599
1836746918923989144111534858422845126140881134419894808
9169695354977
63208.190
1836783807396465319112715704011214585581014054805112538
83600608118169
64212.349
1836720282412477204861929763898702311589013678146099600
86810641894970923423
70230.233
1836789406699616641979823972944230672692415304499040189
5906912243080237783169207
75248.983
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27T08:10:04Seth_TrManual testing400000000400000000-
skipped known factor: 440809
skipped known factor: 106681156303
skipped known factor: 1905557331991
skipped known factor: 1216001451462483602944543
--0.171--8.016%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??36.635123.01324e-71.82180e-51.01602e-6
2008-08-26T19:58:00ANONYMOUSManual testing??40.793131.94194e-61.12400e-54.03988e-6


ECM factoring results:
Total ECM effort:21.741 GHz-days
Estimated T-Level:36.212
DigitsB1CompleteFacMiss
2011000425.8350.000%
255000090.5150.000%
3025000015.1620.000%
3510000002.09112.354%
4030000000.24278.476%
45110000000.02597.579%
50440000000.00299.782%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000001480.045
250000250000005710.876
10000001000000001,4218.722
300000030000000065712.10


Lucas-Lehmer results:
No L-L results for M18367


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:21:08Oliver KrusePRP
440809
106681156303
1905557331991
8204947058225616777257
1216001451462483602944543
F158F7E2B63541BFno
2017-09-21T21:28:38Oliver KruseManual testing
440809
106681156303
1905557331991
8204947058225616777257
1216001451462483602944543
F158F7E2B63541BFno
2017-10-02T10:08:56kkmrkkblmbrbkManual testing
440809
106681156303
1905557331991
8204947058225616777257
1216001451462483602944543
F158F7E2B63541__no
2017-12-07T02:54:52ATHManual testing
440809
106681156303
1905557331991
8204947058225616777257
1216001451462483602944543
F158F7E2B63541__no
2020-04-17T13:48:44Oliver KruseManual testing
440809
106681156303
1905557331991
8204947058225616777257
1216001451462483602944543
60A47FB93EA0F7__no


P-1 factor-bounds graph:
B1 = 400000000 (P-1 stage 1)
100
101
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103
104
105
106
107
108
109
100
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109
1010
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1014
TF factor-bounds graph:
267
2
210
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230
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260
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290
2100
Last modified: 2022-02-16T04:34:23+00:00