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A244798
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Number of moduli m such that (prime(n) mod m) = 3.
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4
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0, 0, 0, 1, 2, 2, 2, 3, 4, 2, 4, 2, 2, 6, 4, 4, 6, 2, 5, 4, 6, 4, 8, 2, 2, 4, 7, 6, 2, 6, 4, 6, 2, 6, 2, 4, 6, 10, 4, 6, 8, 2, 4, 6, 2, 7, 8, 10, 10, 2, 6, 4, 6, 6, 2, 10, 6, 4, 2, 2, 14, 6, 8, 10, 6, 2, 6, 2, 6, 2, 10, 4, 10, 6, 6, 10, 2, 2, 2, 6, 10, 6, 4
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OFFSET
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1,5
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COMMENTS
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Except for the initial 0, 0, 0, this is column 3 of the array at A244740.
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LINKS
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FORMULA
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EXAMPLE
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prime(5) = 11 = (2 mod m) for m = 3, 9 so that a(5) = 2.
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MATHEMATICA
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z = 300; f[n_, m_] := If[Mod[Prime[n], m] == 3, 1, 0];
t = Table[f[n, m], {n, 1, z}, {m, 1, Prime[n]}];
Table[Count[t[[k]], 1], {k, 1, z}] (* A244798 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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