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Putnam 2011 B2

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December 5, 2011
Putnamnumber theoryprime numbersalgebrapolynomialRational Root Theoremcollege contests

Problem Statement

Let SS be the set of all ordered triples (p,q,r)(p,q,r) of prime numbers for which at least one rational number xx satisfies px2+qx+r=0.px^2+qx+r=0. Which primes appear in seven or more elements of S?S?
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