olymmath

TR-MO 2025 Problem 6

    İki tamkarenin toplamı şeklinde yazılabilen sayıların kümesi S\mathcal{S} olsun. Tam sayı katsayılı bir PP polinomu, her nn negatif olmayan tam sayısı için

    P(n)∈S  ⟺  n∈SP(n) \in \mathcal{S} \iff n \in \mathcal{S}

    koşulunu sağlıyorsa, PP polinomunun derecesinin tek olduğunu gösteriniz.

    Official text Turkish Mathematical Olympiad 2025 official paper, page 2. 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

    Similar problems

    These problems have the most words in common with this statement.

    Locator tr-mo/2025/p6 · Tag B1SEA8VFEA · Edit this page on GitHub · Keys: j next, k previous