- May 24, 2013Hello all:

Let c an even positive integer number fixed.

Consider the quadratic equation in two variables:

-3x^2+y^2-2xy-4cx+4cy+4=0

Can anyone prove that for every c large enough there is at least one other than the trivial solution (1,1) of the equation with x and y both positive integers? i.e. (y>x>1 integers)

Sincerely

Sebastián Martín Ruiz

P.S. (It is related to the prime numbers. I'll tell you soon.)

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