In number theory, Rosser's theorem states that the th prime number is greater than , where is the natural logarithm function. It was published by J. Barkley Rosser in 1939.[1]
Its full statement is:
Let be the th prime number. Then for
In 1999, Pierre Dusart proved a tighter lower bound:[2]
See also
References
External links
- Rosser's theorem article on Wolfram Mathworld.
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