# CAIA as a mathematician (Part 2)

Let us consider the beginning of the proof given in Diophante site. Three new unknowns appear, defined by: M/N=(C-A)/B=B/(C+A) the parities of M and N being different. This gives: A/(M2-N2)=B/(2*M*N)=C/(M2+N2)=D D is an integer because two denominators have never a common factor. Therefore, one has to solve: 2*M*N*(N-M)*(N+M)*D2=311850*P As either M or N is even, […]