is 2 1865011 - 1
has 561425 decimal digits
takes 0.101 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
Actual26715.932368.6567%500000150000000.10155.0802%16.033870.2490%1.5923%
PrimeNet2570.010363.1579%90001600000.00143.0276%0.011664.2733%1.1154%
GPU722610.164765.5738%100001500000.00141.6887%0.166166.1551%0.5814%
Difference+6+15.7676+3.0829%+490000+14850000+0.1001+3.3914%+15.8677+4.0939%+4.0939%

Known prime factors (5 factors, 212.9 bits, 0.01141589% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
186501118650111824.1535
5
-151.200e-129.581e-81.601e-7
1865011242451431927.85365
5 × 13
2008-07-155139.722e-124.276e-78.005e-7
1865011139162197190971443.6623730868
22 × 229 × 4073
2008-09-3022940739.721e-73.449e-53.666e-5
1865011572103314316011445.70115337800
23 × 32 × 52 × 8521
2014-01-282585214.700e-63.838e-56.820e-5
186501134299023974201399417992271.539919539455107809
3 × 8849 × 34638168347
2020-07-03884934638168347410.04148.45277.26

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
186501145217461002588411652.006
18650112595390424615478697672167.815
186501110669790315461475577112269.854
186501133740073850054856778072271.515
1865011138707267235759410710312373.554
18650117961515424045207380889842972789.363
1865011629256122451720435000107865772995.668
1865011639680604310517235500848896892995.691
18650112586905930453576179041870344413097.707
18650118315847444448436371094242643693099.392
18650111484831463866551866716148501630696735113.516
18650114773127537755622671835250970883550335115.200
186501119302808074883323381885044814417900736117.216
186501119622585293444905676557134448939019936117.240
18650111550914778980296720973448167657519495938123.544
186501189019358396299053703844004319835981169083342139.353
1865011359999513208270293121051475028868248441977743141.369
1865011365963393829715063252320655314636553366208943141.393
18650111157251601874357245082499994134856104595479344143.054
18650114757523884315272300941300400404661806492476944145.093
1865011273072208400300788589663586299085429402460493030349160.902
186501121582870829884570674442829048114415319733299043202
3
51167.206
186501188728348527630987407780656951891387608545214849935
9
51169.246
186501150928269976807421405847593371360224568385518681298
213633
56185.055
186501166206747692983147023992408306805256349876021456161
7613593
57188.755
186501112347631934231296131267780780792400863086426363957
984833064558823
65212.908
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:37:25alpertronManual testing5000001500000012-
skipped known factor: 18650111
skipped known factor: 242451431
skipped known factor: 13916219719097
skipped known factor: 57210331431601
--0.101--5.080%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T13:30:00markrManual testing??43.662143.43801e-70.2167.34186e-7
2008-07-15T07:47:00J FeitsmaManual testing??27.85391.34885e-130.2162.88048e-13
2014-01-28T11:29:00TJAOIManual testing??45.701142.18684e-60.2164.66990e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:19.239 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.239 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5660.019%
25500000.77646.025%
302500000.04895.313%
3510000000.00299.779%


ECM Summary

B1B2factorcurvesGHz-days
500005000000372.561
50000500000030.208
50000660000021116.47


Lucas-Lehmer results:
No L-L results for M1865011


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T09:58:56Oliver KruseGTX-3
18650111
242451431
13916219719097
57210331431601
1502D0B5A8E77CBEno
2017-10-05T21:45:30Oliver KruseManual testing
18650111
242451431
13916219719097
57210331431601
1502D0B5A8E77C__no
2017-11-11T05:07:51kkmrkkblmbrbkc4.xlarge
18650111
242451431
13916219719097
57210331431601
1502D0B5A8E77C__no
2020-07-03T13:38:06CrypticCluecruncher
18650111
242451431
13916219719097
57210331431601
3429902397420139941799
A6FEB5C6394BDB45no
2020-07-04T14:30:22marssystemsSYSTEM01
18650111
242451431
13916219719097
57210331431601
3429902397420139941799
A6FEB5C6394BDB45no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2021-08-20T12:36:53+00:00