olymmath

NMC 1990 Problem 1

    Let m,nm, n, and pp be odd positive integers. Prove that the number

    ∑k=1(n−1)pkm\sum_{k=1}^{(n-1)^{p}} k^{m}

    is divisible by nn.

    Dataset text NuminaMath olympiads. Quoted with source.

    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 nordic/1990/p1 · Tag XVQ9Z40XBW · Edit this page on GitHub · Keys: j next, k previous