Question: . Soit Q= {(x, y) N 2 | p x 2 y 2 N} l'ensemble des paires (x, y) d'entiers naturels qui forment un triangle

. Soit Q= {(x, y) N 2 | p x 2 y 2 N} l'ensemble des paires (x, y) d'entiers naturels qui forment un triangle rectangle dont les cts qui ne sont pas l'hypotnuse sont de longueur x N et de longueur y N et l'hypotnuse est de longueur entire galement. comment montrer qu'il n'est pas possible de dfinir deux sous-ensembles des entiers naturels A, B N tels que T = A B. ( en utilisant un raisonnement simple)

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