A064254 Values of n such that N=(an+1)(bn+1)(cn+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,35.

576, 1626, 2466, 4356, 4566, 7296, 11496, 15276, 16746, 18636, 20106, 20946, 24096, 28926, 38376, 44256, 57486, 74286, 78696, 95916, 98226, 99906, 100746, 101376, 122166, 127206, 128046, 128676, 136656, 141906, 149256, 152406, 153456, 158076, 172146, 179496, 180546

Offset

1,1

Comments

an+1, bn+1, cn+1 are primes and an | (N-1), bn | (N-1), cn |(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, 35}*# + 1), PrimeQ] && carmQ[Times @@ v] &] (* Amiram Eldar, Oct 17 2019 *)

Crossrefs

Cf. A087788.

Sequence in context: A250789 A137484 A189990 * A281242 A067225 A325475

Adjacent sequences: A064251 A064252 A064253 * A064255 A064256 A064257

Keyword

nonn

Author

N. J. A. Sloane, Sep 23 2001

Extensions

More terms from Amiram Eldar, Oct 17 2019

Status

approved