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OMM 2010 Problem 6

    Sean pp, qq, rr números primos positivos distintos. Muestra que si pqrpqr divide a

    (pq)r+(qr)p+(rp)q−1(pq)^r + (qr)^p + (rp)^q - 1

    entonces (pqr)3(pqr)^3 divide a

    3((pq)r+(qr)p+(rp)q−1).3((pq)^r + (qr)^p + (rp)^q - 1).

    Official text Mexican Mathematical Olympiad 2010 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.

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