Ivan Shishkin, Rye (1878)

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Un monstre acouche de carrés !

by Dattier·
50
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
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  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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E=100000000000000000000000000000001E=100000000000000000000000000000001
F=999999999999999999999999999999970000000000000000000000000000000299999999999999999999999999999999F=999999999999999999999999999999970000000000000000000000000000000299999999999999999999999999999999

Expliquer pourquoi ∀n∈N≤1015,(E×1032(n+1)mod  F)mod  1032=n2\forall n \in \mathbb N_{\le 10^{15}}, (E \times 10^{32(n+1)} \mod F) \mod 10^{32}=n^{2}.

Remarque : amod  ba \mod b représente le reste de la division euclidienne de aa par bb.

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