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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. 

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

 Jun 4, 2020
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This is easy!  Start by letting r be an integer root of P(x).

 Jun 6, 2020

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