Polynomial primeNumber Theory Level 5
What is the smallest degree of a reducible polynomial \(f\) with integer coefficients, such that \( \lvert f(n) \rvert \) is a prime number for at least \(10\) different integer values of \(n?\)
Details and assumptions
A polynomial with integer coefficients is called reducible if it can be written as a product of two non-constant polynomials with integer coefficients.
You may refer to this List of 1000 Primes.