A196082 - OEIS

A196082

Greatest residue of x^n (mod n), x=0..n-1.

0, 1, 2, 1, 4, 4, 6, 1, 8, 9, 10, 9, 12, 11, 14, 1, 16, 10, 18, 16, 20, 20, 22, 16, 24, 25, 26, 25, 28, 25, 30, 1, 32, 33, 34, 28, 36, 36, 38, 25, 40, 36, 42, 37, 44, 41, 46, 33, 48, 49, 50, 48, 52, 28, 54, 49, 56, 57, 58, 45, 60, 59, 62, 1, 64, 64, 66, 64, 68

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

a(n) = 1 if n is of the form 2^p and a(n) = n-1 if n prime.

LINKS

Table of n, a(n) for n=1..69.

EXAMPLE

a(18) = 10 because x^18 == 0, 1, 9, 10 (mod 18) => 10 is the greatest residue.

MATHEMATICA

Table[Max[Union[PowerMod[Range[0, n - 1], n, n]]], {n, 100}]

CROSSREFS