Let $P(x)$ be a polynomial with real coefficients.
Can [natural density][1] of
$$\{n\ |\ [P(n)] \ \text{is prime.}\}$$
be positive? [1]: http://en.wikipedia.org/wiki/Natural_density
A Polynomial With Positive Prime-Density
Mohammad Ghiasi
- 1.1k
- 8
- 19