I was working my way through some number theory problems , when I came across the following question :
Find all solutions to the equation $a^2 + b^2 = 4c + 3$
My Solution (partial) :
- If $a$ is odd then it is of the form $4k+1$ or $4k+3$ , so remainder is 1
- If $a$ is even then remainder is $0$
- How does this help me ?
I am all thumbs , can someone help me out ? Maybe a hint ...