MathDB
Find all Polynomials

Source:

December 9, 2010
algebrapolynomialmodular arithmeticinductionnumber theoryrelatively primealgebra unsolved

Problem Statement

Find all polynomials PP with integer coefficients which satisfy the property that, for any relatively prime integers aa and bb, the sequence {P(an+b)}n1\{P (an + b) \}_{n \ge 1} contains an infinite number of terms, any two of which are relatively prime.