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A064262
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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 = 1,2,51.
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11
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330, 1656, 1758, 6960, 11958, 14406, 27258, 30318, 30930, 31236, 37356, 40110, 43986, 44088, 50820, 53268, 55818, 63366, 65100, 67650, 71526, 74586, 81930, 90906, 93150, 94476, 98250, 99678, 109470, 119568, 121710, 129768, 135276, 141906, 146190, 147516, 155166
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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@ 9000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[51# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(51# + 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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Offset corrected and more terms added by Amiram Eldar, Oct 17 2019
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STATUS
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approved
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