A064258 Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,43.

966, 12576, 36570, 37860, 71916, 78366, 103650, 126096, 132546, 242970, 279606, 316500, 387966, 392610, 404220, 407316, 418926, 459690, 498390, 500196, 523416, 524706, 554376, 604170, 707886, 729300, 749940, 755616, 769806, 840756, 897516, 903450, 974400, 1048446

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, 43}*# + 1), PrimeQ] && carmQ[Times @@ v] &] (* Amiram Eldar, Oct 17 2019 *)

Crossrefs

Cf. A087788.

Sequence in context: A251232 A202049 A246477 * A142378 A035887 A255656

Adjacent sequences: A064255 A064256 A064257 * A064259 A064260 A064261

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