Rosser's theorem

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In number theory, Rosser's theorem was proved by J. Barkley Rosser in 1938. Its statement follows.

Let P_n be the nth prime number. Then for n > 1

P_n > n ln n.

[edit] See also

• Prime number theorem

[edit] References

• Rosser, J. B. "The nth Prime is Greater than n ln n". Proceedings of the London Mathematical Society 45, 21-44, 1938.

[edit] External link

• Rosser's theorem article on Wolfram Mathworld.

Retrieved from "http://en.wikipedia.org../../../r/o/s/Rosser%27s_theorem.html"

Categories: Prime numbers | Mathematical theorems

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• This page was last modified 15:26, 14 March 2007 by Wikipedia user AbcXyz. Based on work by Wikipedia user(s) David Haslam, PrimeHunter, CRGreathouse, Harvestdancer, BeteNoir, Charles Matthews, Bubba73, Linas, Michael Hardy, DYLAN LENNON, Oleg Alexandrov and Mathbot and Anonymous user(s) of Wikipedia.
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