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A064241
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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 = 1,2,9.
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1
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30, 228, 498, 1398, 1758, 2028, 2280, 3180, 4800, 5430, 6150, 6420, 6708, 7950, 8688, 9930, 11838, 13728, 16518, 16878, 17490, 19488, 26040, 28200, 30108, 30468, 33528, 33870, 34140, 34500, 35490, 35670, 38298, 38820, 39900, 40350
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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@ 42000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[9# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(9# + 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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