Let P(x) be a nonconstant polynomial, where all the coefficients are nonnegative integers. Prove that there exist infinitely many positive integers n such that P(n) is composite.

Question

Remember that if a and b are distinct integers, then P(a) - P(b) is divisible by a - b.

Answer 1

HELP HELP HELP HLEP HLEP HELP

Answer 2

a few seconds with google led me to

https://math.stackexchange.com/questions/304330/proof-of-lack-of-pure-prime-producing-polynomials

that should get you started.

Answer 3

uh ok ill check tat

Answer 4

tahkn s i tihkn i got it ok bye