A064259 Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,45.

336, 606, 1236, 3036, 7536, 9066, 12576, 17256, 18786, 19416, 22026, 27966, 28596, 30576, 33636, 35616, 43986, 47136, 48486, 49476, 52806, 53526, 59106, 60726, 63246, 71706, 80526, 83136, 86286, 89976, 96096, 97986, 98886, 103836, 105096, 116256, 118686, 119046

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

Crossrefs

Cf. A087788.

Sequence in context: A060664 A261551 A247530 * A181256 A006909 A067708

Adjacent sequences: A064256 A064257 A064258 * A064260 A064261 A064262

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