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Descomposing integers - Colegiul Național din Iași (Iași - Roumanie)

Titre du sujet: 
Descomposing integers
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Résumé: 
What are the integers that can be written as x2  ay2, where a  Z is fixed? Important cases: a  1, 1, 2, 2. Example: take a  1; the number 5 can be written as 12  22, but 7 cannot be written.
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