Re: Polynomials and Prime Numbers


Maury Barbato wrote:
Hello,
I read the following result. There's no rational
polynomial P(x) wich generates all the primes
(we say that a rational polynomial P(x) generates a
prime p, if for some n in Z, we have P(n)=p).
Do you know a simple proof of this result?
Thank you for your attention.

Hi, Maury:

This seems trivially false as P(x) = x would then
"generate" prime p when P(p) = p.

Perhaps you have a more restrictive condition
in mind?

regards, chip

.

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