Ivan Shishkin, Rye (1878)

Problems/Number theoryReviewed

An intimidating tower

by Ancient Tree·
10
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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Is
2024202520262024^{2025^{2026}}a prime number ?

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Solution by NawzadHoganFR

Discussions1 useful vote

On rappelle que les nombres premiers sont ceux divisibles seulement par 1 et par eux-mêmes. En particulier, le seul nombre premier pair est 2. Comme 2024 est pair, toute puissance de 2024 est paire, donc la tour n’est pas un nombre premier.

Solution by Sequoia

Discussions0 useful votes

This number is a power of 20242024, hence it is divisible by 20242024 in particular, which is different than 11 and 2024202520262024^{2025^{2026}}. So it is not a prime number.

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