Ivan Shishkin, Rye (1878)

Problems/Number theoryUnreviewed

nn is divisible by φ(n)\varphi(n)?

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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. 110First steps / middle schoolPremiers pas / collège
  2. 1125Beginner / high schoolDébutant / lycée
  3. 2650Intermediate / undergraduateIntermédiaire / licence
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  6. 91100Research levelNiveau recherche
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Let φ\varphi be Euler’s totient. Find all the nNn \in \mathbb{N}^* such that nn is divisible by φ(n)\varphi(n).

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