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A064246
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Numbers m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,19.
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1
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7950, 8520, 9318, 25620, 29268, 29610, 32118, 44088, 48078, 67800, 70308, 72018, 83760, 95730, 133350, 138138, 174048, 175758, 176898, 186018, 188868, 225918, 244158, 256698, 265818, 280638, 289758
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OFFSET
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1,1
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COMMENTS
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am+1, bm+1, cm+1 are primes and am | (N-1), bm | (N-1), cm |(N-1).
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REFERENCES
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Harvey Dubner (harvey(AT)dubner.com), personal communication, Jun 27 2001.
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LINKS
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MATHEMATICA
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CarmichaelNbrQ[n_] := ! PrimeQ@ n && Mod[n, CarmichaelLambda@ n] == 1; Select[ Range@ 300000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[19# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(19# + 1)] &] (* Robert G. Wilson v, Aug 23 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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