# Formula for the Nth Prime Number

@article{Jones1975FormulaFT, title={Formula for the Nth Prime Number}, author={James P. Jones}, journal={Canadian Mathematical Bulletin}, year={1975}, volume={18}, pages={433 - 434} }

In this note we give a simple formula for the nth prime number. Let pn denote the nth prime number (p 1=2, p 2 = 3, etc.). We shall show that p n is given by the following formula.

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## References

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Let pn denote the nth prime number. (p 1=2, p 2 = 3, etc.) Let [x] denote the greatest integer which is not greater than x. From Wilson’s theorem, is an integer for x = 1 and for all prime values of…

Formulae For Primes

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The criticism by T. B. M. Neil and M. Singer in The Gazette for October 1965 of C. P. Willans’ formula for the nth prime number is in my view quite unjust. Willans’ formula expresses two properties…