olymmath

NZ-NZMO 2021 Problem 6

    Is it possible to place a positive integer in every cell of a 10×1010 \times 10 array in such a way that both the following conditions are satisfied?

    • Each number (not in the top row) is a proper divisor of the number immediately below.

    • Each row consists of 10 consecutive positive integers (but not necessarily in order).

    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 nz-nzmo/2021/p6 · Tag S38873FN0E · Edit this page on GitHub · Keys: j next, k previous