Theorem 1. Let e EN be a natural number and 2 its factorization into distinct primes with p 1 mod 4 and q, 3 mod 4. The {(a, b) EZ² | a² + b = cand a>0} if there crists jem) such that t, 1 mod 2 else a) Use Theorem 1 to detmerine the number of integral solutions of the poly nomial equation a+23400