olymmath

HMMT November 2013 U23

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The number 989⋅1001⋅1007+320989 \cdot 1001 \cdot 1007+320 can be written as the product of three distinct primes p,q,rp, q, r with p<q<rp<q<r. Find (p,q,r)(p, q, r).

Dataset text NuminaMath olympiads. Quoted with source.

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(991,997,1009)

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