# Formula for the $n$th prime number: discovered? [closed]

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## closed as primarily opinion-based by GEdgar, Dan Rust, Amzoti, Omnomnomnom, MathOverviewAug 11 '13 at 14:00

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In principle it looks OK, the summation tests for divisibility by odd numbers between $3$ and $\sqrt{N}$. The claims about Riemann hypothesis, Goldbach Conjecture, and so on are, to put it nicely, ambitious. – André Nicolas Dec 3 '11 at 16:57
@AndréNicolas What claims do you refer to? Note that these formulas are simply well-known algorithms encoded into a more arithmetical programming language. This is clearer when it is made explicit, e.g. see Conway's Fractran language. – Bill Dubuque Dec 3 '11 at 18:52
@Bill Dubuque: It is best not to attempt to summarize. One need only travel to the web site linked to in the main post. – André Nicolas Dec 3 '11 at 19:21
Note that "a formula for the n-th prime" has never been considered an open problem. I honestly don't know why so many cranks think it is... – Charles Dec 4 '11 at 17:16