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A029560
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Quasi-Carmichael numbers to base 3: squarefree composites n such that prime p|n ==> p-3|n-3.
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2
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35, 1295, 2635, 6083, 6923, 7315, 7843, 13363, 24335, 25795, 26243, 29795, 31003, 43043, 44099, 49283, 50435, 54131, 115843, 138043, 147223, 191843, 234883, 254467, 388433, 471523, 472739, 544643, 618103, 631123, 725903, 790195, 819283, 862403
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OFFSET
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1,1
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COMMENTS
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Define C(k) to be the numbers n such that n is composite and squarefree and for p prime, p|n => p+k|n+k (p+k and n+k positive); sequence gives C(-3).
These are called 3-Korselt numbers by Bouallegue et al.
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LINKS
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MATHEMATICA
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qcm[n_, d_] := Block[{p, e}, {p, e} = Transpose@FactorInteger@n; Length[p] > 1 && Max[e] == 1 && ! MemberQ[p, d] && Max@ Mod[n-d, p-d] == 0]; Select[Range[10^5], qcm[#, 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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