olymmath

NL-NWO 2007 Problem 3

    Does there exist an integer having the form 444...4443444...4443 (all fours, and ending with a three) that is divisible by 1313 ? If so, give an integer having that form that is divisible by 1313 , if not, prove that such an integer cannot exist.

    Dataset text AI-MO AoPS. Quoted with source.

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