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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. 1

%I #10 Oct 17 2019 05:58:24

%S 336,606,1236,3036,7536,9066,12576,17256,18786,19416,22026,27966,

%T 28596,30576,33636,35616,43986,47136,48486,49476,52806,53526,59106,

%U 60726,63246,71706,80526,83136,86286,89976,96096,97986,98886,103836,105096,116256,118686,119046

%N 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.

%C am+1, bm+1, cm+1 are primes and am | (N-1), bm | (N-1), cm |(N-1).

%D Harvey Dubner (harvey(AT)dubner.com), personal communication, Jun 27 2001.

%H Amiram Eldar, <a href="/A064259/b064259.txt">Table of n, a(n) for n = 1..10000</a>

%t 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 *)

%Y Cf. A087788.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Sep 23 2001

%E Offset corrected and more terms added by _Amiram Eldar_, Oct 17 2019

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Last modified August 19 20:56 EDT 2024. Contains 375310 sequences. (Running on oeis4.)