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IT-CESENATICO 2010 Problem 6

    Dimostrare che esistono infiniti numeri primi che dividono almeno un intero della forma 2n3+1−3n2+1+5n+12^{n^3+1}-3^{n^2+1}+5^{n+1} con nn intero positivo.

    Official text Italian Mathematical Olympiad 2010 official paper, page 4. 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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