MathDB

A 72

Source:

May 25, 2007

modular arithmeticnumber theoryDivisibility Theory

Problem Statement

Determine all pairs

(n,p)

of nonnegative integers such that [*]

p

is a prime, [*]

n<2p

, [*]

(p-1)^{n} + 1

is divisible by

n^{p-1}