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- W1644299439 abstract "Using inequalities of Rosser and Schoenfeld, we prove formulas for pi(n) and the n-th prime that involve only the elementary operations +,-,/ on integers, together with the floor function. Pascal Sebah has pointed out that the formula for pi(n) operates in O(n^(3/2)) time. Similar formulas were proven using Bertrand's Postulate by Stephen Regimbal, An explicit formula for the k-th prime number, Mathematics Magazine, 48 (1975), 230-23" @default.
- W1644299439 created "2016-06-24" @default.
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- W1644299439 date "2002-10-21" @default.
- W1644299439 modified "2023-09-27" @default.
- W1644299439 title "Formulas for pi(n) and the n-th prime" @default.
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