A064248 Numbers m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,23.

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

Offset

1,1

Comments

am+1, bm+1, cm+1 are primes and am | (N-1), bm | (N-1), cm |(N-1).

References

Harvey Dubner (harvey(AT)dubner.com), personal communication, Jun 27 2001.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Mathematica

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 *)

Crossrefs

Cf. A087788.

Sequence in context: A237864 A031821 A203352 * A202895 A157652 A264949

Adjacent sequences: A064245 A064246 A064247 * A064249 A064250 A064251

Keyword

nonn

Author

N. J. A. Sloane, Sep 23 2001

Status

approved