Supriya Ghosh (Editor)

Rosser's theorem

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In number theory, Rosser's theorem was published by J. Barkley Rosser in 1939. Its statement follows.

Let pn be the nth prime number. Then for n ≥ 1

p n > n ln n .

This result was subsequently improved upon to be:

p n > n ( ln n + ln ( ln n ) 1 ) . (Havil 2003)

References

Rosser's theorem Wikipedia


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