TR-MO 2023 Problem 1

Sonsuz çoklukta $k$ pozitif tam sayısı için

$\frac{n^2+m^2}{m^4+n}=k$

olacak şekilde $m$ ve $n$ pozitif tam sayılarının bulunmadığını gösteriniz.

Official text Turkish Mathematical Olympiad 2023 official paper, page 1. Quoted with source.

A model read this text from the scan of the paper by OCR, with vision/claude@2.1.318 (claude-opus-5-5). No person has checked it against the paper yet.

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

Solutions

Similar problems