Sieve methods (Brun / Selberg / Iwaniec)

Layer 0 — Mathematicsin the analytic-number-theory subtree

Brun 1915 / Selberg 1947 / Iwaniec 1980s sieves: combinatorial-analytic estimates on primes in sets; Brun proved sum 1/p_twin converges; Goldston-Pintz-Yildirim 2005 small gaps; Zhang 2013 bounded gaps.

Related concepts

Inclusion-exclusion principle

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