Ivan Shishkin, Rye (1878)

Problems/ArithmeticUnreviewed

pp-valuation de Hp−1H_{{p-1}}

by budleya·
44
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.
·
Français
FrançaisAdd translation

Showing the Français version because no English translation exists yet. Add that translation.

Unreviewed. This problem has not been reviewed by trusted users yet.

Soit p>3p>3 un nombre premier et (a,b)∈(N∗)2(a,b)\in(\mathbb{N}^*)^2 tels que

∑k=1p−11k=ab.\sum_{k=1}^{p-1}\frac{1}{k}=\frac{a}{b}.

Montrer que p2∣ap^{2}\mid a.

I solved itMark it doneAdd to my listKeep it in your list
I like this problem0 likes
Show related problems0

No related problems yet.

Solutions

0
Report

For an unclear, ambiguous, or possibly incorrect statement, please use the Discussion tab on the right. Report content that needs moderator intervention, such as dangerous, clearly non-mathematical, or plagiarized content.