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All expressions of p,q,r are primes

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February 2, 2011
modular arithmeticnumber theory proposednumber theory

Problem Statement

Find all numbers p≤q≤rp\le q\le r such that all the numbers pq+r,pq+r2,qr+p,qr+p2,rp+q,rp+q2pq+r,pq+r^2,qr+p,qr+p^2,rp+q,rp+q^2 are prime.
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