A070670 Smallest m in range 2..n-1 such that m^5 == 1 mod n, or 1 if no such number exists.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 6, 1, 1, 1, 1, 1, 2, 1, 4, 1, 1, 1, 1, 1, 1, 1, 10, 1, 1, 5, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 16, 1, 1, 1, 1, 1, 9, 33, 1, 1, 1, 25, 1, 1, 1, 1, 5, 1, 1, 1, 16, 1, 15, 1, 1, 1, 1, 37, 1, 1, 1, 1, 1, 9, 1, 1

Offset

1,11

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Maple

a:= proc(n) local m;
      for m from 2 to n-1 do
        if m &^ 5 mod n = 1 then return m fi
      od; 1
    end:
seq(a(n), n=1..100);  # Alois P. Heinz, Jun 29 2014

Mathematica

a[n_] := (For[m = 2, m <= n - 1, m++, If[PowerMod[m, 5, n] == 1, Return[m]]]; 1); Table[a[n], {n, 1, 100}] (* Jean-François Alcover, Jul 20 2015 *)

Prog

(PARI) a(n) = {for (m=2, n-1, if (lift(Mod(m, n)^5) == 1, return (m)); ); return (1); } \\ Michel Marcus, Jun 29 2014

Crossrefs

Cf. A070667.

Sequence in context: A030579 A030578 A030577 * A368472 A368711 A049586

Adjacent sequences: A070667 A070668 A070669 * A070671 A070672 A070673

Keyword

nonn

Author

N. J. A. Sloane, May 08 2002

Status

approved