Challenge 3 The following result was found by Euler, but Ilve changed his numbers to A and B to make your life hard. Theorem: A prime number p can be expressed in the form x2+3y2 If and only if p is congruent to A modulo B (i.e., DB=A ). Use experimental techniques to determine A and B. Now try the same for 3 replaced by 4,5,6,7,8,9..