olymmath

TH-TMO 2005 Problem 13

    Find all odd integers kk for which there exists a positive integer mm satisfying the equation k+(k+5)+(k+10)+...+(k+5(m−1))=1372k + (k + 5) + (k + 10) + ... + (k + 5(m - 1)) = 1372 .

    Dataset text AI-MO AoPS. Quoted with source.

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