Show that there exist no positive integers and such that and are both perfect squares.

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- Aug 23rd 2011, 05:33 AMalexmahoneShow that there exist no positive integers ...
Show that there exist no positive integers and such that and are both perfect squares.

- Aug 23rd 2011, 11:35 AMmeleseRe: Show that there exist no positive integers ...
There's a theorem by Fermat: The equation is not solvable in nonzero integers.

- Aug 23rd 2011, 05:49 PMalexmahoneRe: Show that there exist no positive integers ...