Show that y^2+y+1=x^2 has no positive integer solution.
Last edited by mr fantastic; January 11th 2011 at 11:28 AM.
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Originally Posted by dila Show that y^2+y+1=x^2 has no positive integer solution. Clearly, is odd. is odd. is a multiple of 8. is a multiple of 8. is a multiple of 8. Can you proceed? (because I can't!)
Last edited by alexmahone; January 11th 2011 at 01:05 AM.
New solution: , which implies that there is a perfect square between two consecutive perfect squares, which is impossible.