I am finding the sum of squares for 1973.
I was given the initial expression:
${259}^2+1^2=\ 34\cdot1973$
and using descent have gotten it down to
$\left(53\right)^2+\left(84\right)^2=5\cdot 1973$
I am using the formula u = A (mod M) and v = B (mod M), where A = 53, B = 84, and M = 53. However, I get a 4 and 3 for u,v. This, however, doesn't get me the correct result. I am using the text: A Friendly Introduction to Number Theory.
