MathDB

Gunga P22

Source:

October 16, 2021

MOAA 2021Gunga

Problem Statement

Let

p

and

q

be positive integers such that

p

is a prime,

p

divides

q-1

, and

p+q

divides

p^2+2020q^2

. Find the sum of the possible values of

p

.
Proposed by Andy Xu