A065700 Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,65.

876, 1656, 7506, 9066, 12966, 33636, 67956, 74586, 83556, 89796, 111636, 126456, 129186, 143616, 150246, 154926, 166626, 184566, 222786, 241116, 252036, 252816, 261786, 271926, 288306, 303906, 304686, 319116, 340956, 344856, 351096, 357726, 362406, 363966, 365526

Offset: 1

Author

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

Keywords

• nonn

Links

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

Crossrefs

Cf. A064238-A064262, A065695-A065703, A087788.

Programs

Mathematica

carmQ[n_] := CompositeQ[n] && Divisible[n - 1, CarmichaelLambda[n]]; Select[Range[10^5], AllTrue[(v = {1, 2, 65}*# + 1), PrimeQ] && carmQ[Times @@ v] &] (* Amiram Eldar, Oct 17 2019 *)

Formula

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

Extensions

More terms from Amiram Eldar, Oct 17 2019