MathDB

18

Part of 2011 Math Prize For Girls Problems

Problems(1)

Math Prize 2011 Problem 18

Source:

9/19/2011
The polynomial PP is a quadratic with integer coefficients. For every positive integer nn, the integers P(n)P(n) and P(P(n))P(P(n)) are relatively prime to nn. If P(3)=89P(3) = 89, what is the value of P(10)P(10)?
algebrapolynomialquadraticscalculusintegrationnumber theoryrelatively prime