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- W2796786570 abstract "The criticism by T. B. M. Neil and M. Singer in The Gazette for October 1965 of C. P. Willans’ formula for the n th prime number is in my view quite unjust. Willans’ formula expresses two properties of the n th prime, namely that the number of numbers x such that 1 ≤ π ( x ) < n is two less than the n th prime, and that the n th prime is less than 2 n . Willans gives a trigonometrical representation of π ( x ), the number of primes less than or equal to x . The analysis which Neil and Singer give is an exposure of the formula only in the sense that a clear proof is an exposure." @default.
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- W2796786570 date "1967-02-01" @default.
- W2796786570 modified "2023-09-24" @default.
- W2796786570 title "Formulae For Primes" @default.
- W2796786570 doi "https://doi.org/10.2307/3613607" @default.
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