A066858 Smallest k>1 such that for each integer x, x^k=x or x^k=0 (mod n); or 0 if no such k exists.

2, 3, 3, 5, 3, 7, 3, 7, 5, 11, 0, 13, 7, 5, 5, 17, 0, 19, 0, 7, 11, 23, 0, 21, 13, 19, 0, 29, 5, 31, 9, 11, 17, 13, 0, 37, 19, 13, 0, 41, 7, 43, 0, 0, 23, 47, 0, 43, 0, 17, 0, 53, 0, 21, 0, 19, 29, 59, 0, 61, 31, 0, 17, 13, 11, 67, 0, 23, 13, 71, 0, 73, 37, 0, 0, 31, 13, 79, 0, 55, 41

Offset

2,1

Comments

By Fermat's little theorem if k exists then k <= n (with equality only if n prime). All terms that are 0 are not squarefree and not prime powers. - Larry Reeves

Links

Table of n, a(n) for n=2..82.

Crossrefs

Sequence in context: A117531 A275940 A105555 * A333496 A152864 A152984

Adjacent sequences: A066855 A066856 A066857 * A066859 A066860 A066861

Keyword

nonn

Author

Roger Cuculière, Jan 22 2002

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Jun 11 2002

Status

approved