Ivan Shishkin, Rye (1878)

Problems/ArithmeticUnreviewed

Stabilité de carrés premiers ?

by Cypress·
15
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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This problem was submitted to “The two squares”.

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L’équations suivante possède-t-elle des 3-uplets d’entiers tous premiers de solutions : p2+q2=r2p^{2}+q^{2}=r^{2}. Et si oui, expliciter le cardinal de l’ensemble solution.

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