Additive prime number theory is the study of additive patterns in the primes.

Terence Tao is surveying some recent advances in this subject, including the results of Goldston, Pintz, and Yildirim on small gaps between primes, the results of Green on arithmetic progressions in the primes, and the results of Bourgain, Gamburd, and Sarnak for detecting almost primes in orbits.

Recent progress in additive prime number theory

See also: Three topics in additive prime number theory

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