Let each of x1, x2, x3, …, x777, y1, y2, y3, …, y777
be an arbitrary non-zero integer number.
Consider the product
P = (2x12 +3y12) *
(2x22 +3y22) * (2x32 +3y32) * ...* (2x7772 +3y7772).
Prove: P cannot be a square number.
(In reply to re: Poossible solution...very creative!
by Ady TZIDON)
x^2 + 6y^2 plainly contains all the squares, when y = 0.
Since the two sequences contain no common members, hence 'chalk' and 'cheese', the result follows at once.
Posted by broll
on 2017-02-27 05:02:09