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 links

• Rosser's theorem article on Wolfram Mathworld.