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

This result was subsequently improved upon to be[1]:

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References[edit]

  1. ^ Dusart, Pierre (1999). "The kth prime is greater than k(log k + log log k−1) for k ≥ 2". Mathematics of Computation. 68 (225): 411–415. doi:10.1090/S0025-5718-99-01037-6. MR 1620223. 

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