Let $P(x)$ be a non-constant polynomial with real coefficients.
Can [natural density][1] of
$$\{n\ |\ \lfloor P(n)\rfloor \ \text{is prime.}\}$$
be positive? [1]: http://en.wikipedia.org/wiki/Natural_density
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Intead of $\lfloor\rfloor$ I had written $[]$, I corrected it and a '-' from title removed.
Mohammad Ghiasi
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A Polynomial With Positive Prime Density
Mohammad Ghiasi
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