Each of M and N is a positive integer such that:
P = (N/4)*√((2M – N)/(2M + N)) is a prime number.

Determine the maximum possible value of P and prove that no higher value of P is possible.

(In reply to Square Thoughts by Brian Smith)

I agree. n is of course a fraction (D'oh!) which invalidates my reasoning.

Edited on January 15, 2016, 10:14 am

Posted by broll on 2016-01-15 10:13:36