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A103495
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Multiplicative suborder of 9 (mod n) = sord(9, n).
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0
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0, 0, 1, 0, 1, 1, 0, 3, 1, 0, 1, 5, 0, 3, 3, 0, 2, 4, 0, 9, 2, 0, 5, 11, 0, 5, 3, 0, 3, 7, 0, 15, 4, 0, 4, 6, 0, 9, 9, 0, 2, 2, 0, 21, 5, 0, 11, 23, 0, 21, 5, 0, 3, 13, 0, 10, 3, 0, 7, 29, 0, 5, 15, 0, 8, 6, 0, 11, 8, 0, 6, 35, 0, 3, 9, 0, 9, 15, 0, 39, 2, 0, 2, 41, 0, 8, 21, 0, 5, 22, 0, 3, 11, 0, 23
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OFFSET
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0,8
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COMMENTS
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a(n) is minimum e for which 9^e = +/-1 mod n, or zero if no e exists.
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REFERENCES
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H. Cohen, Course in Computational Algebraic Number Theory, Springer, 1993, p. 25, Algorithm 1.4.3
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LINKS
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MATHEMATICA
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Suborder[k_, n_] := If[n > 1 && GCD[k, n] == 1, Min[MultiplicativeOrder[k, n, {-1, 1}]], 0];
a[n_] := Suborder[9, n];
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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