A064255 Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,37.

498, 1608, 9156, 21588, 24696, 26250, 27360, 42456, 50670, 93738, 95736, 111720, 119046, 121266, 145020, 149238, 150570, 153456, 158340, 173658, 174990, 198300, 209178, 211176, 290208, 305748, 317070, 317958, 329058, 332610, 342378, 351258, 362580, 398988, 420966

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

carmQ[n_] := CompositeQ[n] && Divisible[n - 1, CarmichaelLambda[n]]; Select[Range[10^5], AllTrue[(v = {1, 2, 37}*# + 1), PrimeQ] && carmQ[Times @@ v] &] (* Amiram Eldar, Oct 17 2019 *)

Crossrefs

Cf. A087788.

Sequence in context: A145922 A145981 A210785 * A067917 A093249 A235753

Adjacent sequences: A064252 A064253 A064254 * A064256 A064257 A064258

Keyword

nonn

Author

N. J. A. Sloane, Sep 23 2001

Extensions

Offset corrected and more terms added by Amiram Eldar, Oct 17 2019

Status

approved