A036178 Log base 2 (n) mod 83.

0, 1, 72, 2, 27, 73, 8, 3, 62, 28, 24, 74, 77, 9, 17, 4, 56, 63, 47, 29, 80, 25, 60, 75, 54, 78, 52, 10, 12, 18, 38, 5, 14, 57, 35, 64, 20, 48, 67, 30, 40, 81, 71, 26, 7, 61, 23, 76, 16, 55, 46, 79, 59, 53, 51, 11, 37, 13, 34, 19, 66, 39, 70, 6, 22, 15, 45, 58, 50, 36, 33, 65, 69, 21, 44, 49, 32, 68, 43, 31, 42, 41

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full

References

• I. M. Vinogradov, Elements of Number Theory, p. 225.

Links

• I. M. Vinogradov, Elements of Number Theory, Translation of 5th revised edition, Dover Publications Inc., 1954, p. 225.

Crossrefs

Cf. A054503.

Programs

Maple

a:= n-> numtheory[mlog](n, 2, 83):
seq(a(n), n=1..82);  # Alois P. Heinz, Aug 21 2021

Mathematica

a[1]=0; a[n_]:=MultiplicativeOrder[2, 83, {n}]; Array[a, 82] (* Vincenzo Librandi, Apr 04 2020 *)

Formula

Row n=23 of T(n,k) in A054503. - Georg Fischer, Jan 19 2020

Extensions

a(60)-a(82) from Georg Fischer, Jan 19 2020