olymmath

CZ-SK-MO 2015 Problem 1

    Find all 4-digit numbers nn , such that n=pqrn=pqr , where p<q<rp<q<r are distinct primes, such that p+q=r−qp+q=r-q and p+q+r=s2p+q+r=s^2 , where ss is a prime number.

    Dataset text AI-MO AoPS. Quoted with source.

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