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A029563
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Quasi-Carmichael numbers to base -3: squarefree composites n such that for every prime p that divides n, p+3 divides n+3.
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2
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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
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1,1
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REFERENCES
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J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 165, p. 53, Ellipses, Paris 2008.
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LINKS
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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