Dr. SMRH Moosavi has claimed that he had derived a general formula for finding the $n$ -th prime number. More details can be found here at PrimeNumbersFormula.com and a brief discussion here at Math.SE titled  “Formula for the nth prime number: discovered?

SOME MORE EXCERPTS ARE HERE:

General Formula

Prime Numbers Formula For $k$ -th prime numberGeneral Formula

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1. Sounds interesting, I will have to look at those links 🙂

2. You may like this :
C. P. Willan, “On Formulae for the Nth Prime Number”, Mathematical Gazette Volume 48, p413-415, 1964.
🙂 LOL