Dini derivative

29 yr old Orthopaedic Surgeon Grippo from Saint-Paul, spends time with interests including model railways, top property developers in singapore developers in singapore and dolls. Finished a cruise ship experience that included passing by Runic Stones and Church.

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

$p_n>n\cdot \ln n.$

This result was subsequently improved upon to be:

$p_n>n\cdot (\ln n+\ln (\ln n)-1).$ (Havil 2003)

See also

• Prime number theorem

References

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

External links

• Rosser's theorem article on Wolfram Mathworld.