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A143663
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a(n) is the least prime such that the multiplicative order of 3 mod a(n) equals n, or a(n)=1 if no such prime exists.
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6
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2, 1, 13, 5, 11, 7, 1093, 41, 757, 61, 23, 73, 797161, 547, 4561, 17, 1871, 19, 1597, 1181, 368089, 67, 47, 6481, 8951, 398581, 109, 29, 59, 31, 683, 21523361, 2413941289, 103, 71, 530713, 13097927, 2851, 313, 42521761, 83, 43, 431, 5501, 181, 23535794707
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OFFSET
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1,1
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COMMENTS
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If a(n) differs from 1, then a(n) is the minimal prime divisor of A064079(n).
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LINKS
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MAPLE
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a:= proc(n) local f, p;
f:= numtheory:-factorset(3^n - 1);
for p in f do
if numtheory:-order(3, p) = n then return p fi
od:
1
end proc:
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MATHEMATICA
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p = 2; t = Table[0, {100}]; While[p < 100000001, a = MultiplicativeOrder[3, p]; If[0 < a < 101 && t[[a]] == 0, t[[a]] = p; Print[{a, p}]]; p = NextPrime@ p]; t (* Robert G. Wilson v, Oct 13 2014 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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