Puerto Rico 2011 TST Problem 3
Source:
June 13, 2012
number theoryprime numbersalgebra unsolvedalgebra
Problem Statement
(a) Prove that (p^2)-1 is divisible by 24 if p is a prime number greater than 3.
(b) Prove that (p^2)-(q^2) is divisible by 24 if p and q are prime numbers greater than 3.