A065695 Numbers m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,53.

6120, 11526, 104700, 108516, 115830, 122826, 297726, 298680, 320940, 338430, 339066, 367686, 374046, 387720, 448140, 531456, 534636, 538770, 587106, 618270, 709536, 746106, 762006, 857406, 863766, 897156, 963300, 1115940, 1150920

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@ 1000000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[53# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(53# + 1)] &] (* Robert G. Wilson v, Aug 23 2012 *)

Crossrefs

Cf. A064238-A064262, A065696-A065703, A087788.

Sequence in context: A251368 A366516 A224483 * A204368 A114131 A144491

Adjacent sequences: A065692 A065693 A065694 * A065696 A065697 A065698

Keyword

nonn

Author

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

Extensions

More terms from Robert G. Wilson v, Aug 23 2012

Status

approved