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A064248
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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 = 1,2,23.
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1
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6036, 13626, 43710, 46470, 46746, 51990, 52956, 55440, 58476, 60960, 77796, 82350, 86076, 95460, 99876, 114780, 121266, 168600, 176190, 195510, 201996, 208206, 255126, 258990, 261336, 268926, 270030, 270306
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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@ 280000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[23# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(23# + 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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STATUS
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approved
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