olymmath

JBMO 2022 Problem 1

  • Paper
  • Answer

Find all pairs (a,b)(a, b) of positive integers such that

11ab≤a3−b3≤12ab11 a b \leq a^{3}-b^{3} \leq 12 a b

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

(5,2)

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator jbmo/2022/p1 · Tag GHQ6QCWQDM · Edit this page on GitHub · Keys: j next, k previous