Mathematical problems | Sieve theory

Parity problem (sieve theory)

In number theory, the parity problem refers to a limitation in sieve theory that prevents sieves from giving good estimates in many kinds of prime-counting problems. The problem was identified and named by Atle Selberg in 1949. Beginning around 1996, John Friedlander and Henryk Iwaniec developed some parity-sensitive sieves that make the parity problem less of an obstacle. (Wikipedia).

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Related pages

Atle Selberg | Brun sieve | Friedlander–Iwaniec theorem | Prime number | Chen's theorem | Sieve theory | Prime number theorem | Primes in arithmetic progression | Natural number | Twin prime conjecture | Cardinality | Selberg sieve | Number theory