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Analytic Number Theory 18.785 Brun's Combinatorial Sieve by Kiran S. Kedlaya

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1Analytic Number Theory- 18.785- Brun's Combinatorial Sieve

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In this unit, we describe a more intricate version of the sieve of Eratosthenes, introduced by Viggo Brun in order to study the Goldbach conjecture and the twin prime conjecture. It is most useful for providing lower bounds; for upper bounds, the Selberg sieve (to be introduced in the following unit) is much less painful.

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