MathDB

B2

Part of 2011 Putnam

Problems(1)

Putnam 2011 B2

Source:

12/5/2011
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?
Putnamnumber theoryprime numbersalgebrapolynomialRational Root Theoremcollege contests