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Omni-MATH / The number 989⋅1001⋅1007+320 can be written as the product of three distinct primes p,q,r with p<q<r. Find (p,q,r).

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problem

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).
Plain-text mathematical notation (without MathML)
The number 989⋅1001⋅1007+320 can be written as the product of three distinct primes p,q,r with p<q<r. Find (p,q,r).
Original LaTeX notation
The number $989 \cdot 1001 \cdot 1007+320$ can be written as the product of three distinct primes $p, q, r$ with $p<q<r$. Find $(p, q, r)$.

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