A065699 Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,63.

156, 2550, 3180, 19686, 29640, 40350, 41610, 43626, 46020, 51060, 65550, 72480, 79536, 80670, 85836, 97176, 133716, 150096, 159420, 170760, 184116, 191550, 214986, 229980, 255180, 262110, 278490, 279120, 293106, 294996, 301926, 337080, 350940, 369210, 370596

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, 63}*# + 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