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A029556
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Quasi-Carmichael numbers to base 7: squarefree composites n such that (n,2*3*5) = 1 and prime p|n ==> p-7|n-7.
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2
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187, 247, 4807, 12331, 21307, 32227, 50167, 61087, 62647, 82087, 89947, 101959, 113839, 118327, 127303, 137287, 140767, 141457, 168199, 187207, 193591, 214819, 234247, 235807, 259207, 283943, 306907, 358423, 369799, 396727, 422719, 424057
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OFFSET
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1,1
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COMMENTS
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If multiples of 2, 3 and 5 are not excluded, then terms like 15, 55, 715, 759, 1495,... belong to the sequence. - Giovanni Resta, May 21 2013
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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 && d < Min[p] && And @@ IntegerQ /@ ((n - d)/(p - d))]; Select[Range[10^6], qcm[#, 7] &] (* 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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