A065696 Numbers m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,55.

3876, 7506, 8166, 16746, 20706, 23676, 24336, 40506, 42156, 68226, 69876, 79776, 95286, 123996, 139176, 149076, 166236, 177786, 183066, 187686, 203856, 210126, 213096, 214086, 216396, 221676, 232566, 265566, 307146, 310116, 321006, 326946

Offset

1,1

Links

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

Formula

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

Mathematica

CarmichaelNbrQ[n_] := ! PrimeQ@ n && Mod[n, CarmichaelLambda@ n] == 1; Select[ Range@ 350000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[55# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(55# + 1)] &] (* Robert G. Wilson v, Aug 23 2012 *)

Crossrefs

Cf. A064238-A064262, A065695, A065696, A065697, A065698, A065699, A065700, A065701, A065703, A087788.

Sequence in context: A264206 A035781 A108005 * A246735 A283026 A014891

Adjacent sequences: A065693 A065694 A065695 * A065697 A065698 A065699

Keyword

nonn

Author

Harvey Dubner (harvey(AT)dubner.com), Nov 14 2001

Status

approved