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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: P(a)-P(b) is divisible by a-b.

 Jan 31, 2021
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This is easy.  Just use P(a)-P(b) is divisible by a-b.

 Jan 31, 2021

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