## Sieve Methods

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by
Denis Xavier Charles

### BibTeX

@MISC{Charles_sievemethods,

author = {Denis Xavier Charles},

title = {Sieve Methods},

year = {}

}

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### Abstract

Sieve methods have had a long and fruitful history. The sieve of Eratosthenes (around 3rd century B.C.) was a device to generate prime numbers. Later Legendre used it in his studies of the prime number counting function π(x). Sieve methods bloomed and became a topic of intense investigation after the pioneering work of Viggo Brun (see [Bru16],[Bru19], [Bru22]). Using his formulation of the sieve Brun proved, that the sum