ROSSER'S THEOREM
In number theory, 'Rosser's theorem' was proved by J. Barkley Rosser in 1938. Its statement follows.
Let ''P''''n'' be the ''n''th prime number. Then for ''n'' > 1
:''P''''n'' > ''n'' ln ''n''.
★ Prime number theorem
★ Rosser, J. B. "The ''n''th Prime is Greater than ''n'' ln ''n''". ''Proceedings of the London Mathematical Society'' 45, 21-44, 1938.
★ Rosser's theorem article on Wolfram Mathworld.
Let ''P''''n'' be the ''n''th prime number. Then for ''n'' > 1
:''P''''n'' > ''n'' ln ''n''.
| Contents |
| See also |
| References |
| External link |
See also
★ Prime number theorem
References
★ Rosser, J. B. "The ''n''th Prime is Greater than ''n'' ln ''n''". ''Proceedings of the London Mathematical Society'' 45, 21-44, 1938.
External link
★ Rosser's theorem article on Wolfram Mathworld.
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