Almost prime triples and Chen's theorem

DOI10.1016/J.JNT.2016.05.006zbMath1390.11109arXiv1504.00533OpenAlexW2962688926MaRDI QIDQ739291

Xiannan Li, D. R. Heath-Brown

Publication date: 18 August 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00533

zbMATH Keywords

prime numberstwin prime conjecturesieve theory

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (3)

Lagrange's equation with one prime and three almost-primes ⋮ Triples of almost primes ⋮ SARNAK'S SATURATION PROBLEM FOR COMPLETE INTERSECTIONS

Cites Work

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• Variants of the Selberg sieve, and bounded intervals containing many primes
• Primes in tuples. I
• Bounded gaps between primes
• Lagrange's Four Squares Theorem with almost prime variables.
• 3-tuples have at most 7 prime factors infinitely often
• Some numerical results in the Selberg sieve method
• Small gaps between primes

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