MathDB

BMT 2013 Spring - Discrete P2

Source:

January 6, 2022

number theory

Problem Statement

Let

p

be an odd prime, and let

(p^p)!=mp^k

for some positive integers

m

and

k

. Find in terms of

p

the number of ordered pairs

(m,k)

satisfying

m+k\equiv0\pmod p