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A064242
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Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,11.
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1
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378, 576, 1236, 3018, 7506, 9090, 18396, 26250, 27966, 28098, 28428, 31068, 32190, 32586, 34500, 35490, 40506, 42156, 46446, 47700, 48888, 50670, 53376, 55290, 55818, 58788, 65256, 65718, 68226, 73308, 74760, 75618, 77730, 86178
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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@ 88000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[11# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(11# + 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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