### Squares and Squares and More Squares

Another quick one today, but still interesting. Let’s start by noting that $latex 2018=6^4+5^4+3^4+2^4=13^2+43^2=44^2+9^2+1^2$. It’s the sum of four fourth powers, two squares, or three squares. How many numbers can there be like that? As it turns out, there are an infinite number of them. Let’s start by noting that there are an infinite number … More Squares and Squares and More Squares