Lucky pickNumber Theory Level 4
Brilli the Ant states that "Given any \(N\) integers, we can always find two distinct integers whose difference of squares is a multiple of 1000."
What is the smallest integer value of \(N\) that would make the statement true?
Details and assumptions
Clarification: You are given a random collection of \(N\) integers. You are not given the integers from 1 to \(N\).