A029563 - OEIS

A029563

Quasi-Carmichael numbers to base -3: squarefree composites n such that for every prime p that divides n, p+3 divides n+3.

165, 357, 1885, 2397, 3965, 9447, 11877, 30597, 37245, 49657, 57405, 73437, 75517, 76857, 106485, 127677, 146605, 155397, 187485, 211117, 223197, 223737, 301597, 304917, 312477, 378397, 406077, 413445, 460317, 543197, 728637, 737877, 765697

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OFFSET

1,1

REFERENCES

J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 165, p. 53, Ellipses, Paris 2008.

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..2693 (terms < 10^12)

Index entries for sequences related to Carmichael numbers.

MATHEMATICA

qcp[n_, d_] := Block[{p, e}, {p, e} = Transpose@FactorInteger@n;

Length[p] > 1 && Max[e] == 1 && And @@ IntegerQ /@ ((n + d)/(p + d))]; Select[Range[10^6], qcp[#, 3] &] (* Giovanni Resta, May 21 2013 *)

CROSSREFS

Sequence in context: A356095 A323379 A215967 * A145665 A135806 A157090

Adjacent sequences: A029560 A029561 A029562 * A029564 A029565 A029566

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved