MathDB

30

Part of PEN E Problems

Problems(1)

E 30

Source:

5/25/2007
Given an odd integer n>3n>3, let kk and tt be the smallest positive integers such that both kn+1kn+1 and tntn are squares. Prove that nn is prime if and only if both kk and tt are greater than n4\frac{n}{4}