Almost prime triples and Chen's Theorem

2015/04/02 by Heath-Brown, D. R., Li, Xiannan · 1 citation
#11P32 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1504.00533

Abstract

We show that there are infinitely many primes p such that not only does p + 2 have at most two prime factors, but p + 6 also has a bounded number of prime divisors. This refines the well known result of Chen.

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• Primes in simultaneous arithmetic progressions

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