Why are the three sides of a right triangle continuous numbers, only 3, 4, 5 Explain why

Why are the three sides of a right triangle continuous numbers, only 3, 4, 5 Explain why

All integer solutions of Pythagorean theorem can be expressed as: a = M & sup2; - N & sup2;, B = 2Mn, C = M & sup2; + n & sup2; (this can be proved, where m and N are positive integers and not equal, a and B are right angle sides, C is hypotenuse.)