MathDB

Prime Squared

Source: 2024 AIME I #13

February 2, 2024

AMCAIMEAIME I

Problem Statement

Let

p

be the least prime number for which there exists a positive integer

n

such that

n^{4}+1

is divisible by

p^{2}

. Find the least positive integer

m

such that

m^{4}+1

is divisible by

p^{2}