29 Apr
2019
29 Apr
'19
12:36 p.m.
That Wikipedia article Formulas for primes contains this interesting tidbit: ----- It is not even known whether there exists a univariate polynomial of degree at least 2, that assumes an infinite number of values that are prime; ----- The article appears to be referring to *integer* polynomials. What about a *real* polynomial P(x), deg(P) >= 2 ??? Can some such P(x) be proved to represent infinitely many primes? —Dan ----- II. What kinds of nice functions f : Z+ —> Z+ are known to have infinitely many primes in their image: |f(Z+) ∩ Primes| = oo ??? -----