D. R. Heath-Brown, Xiannan Li
Published 2015-04-02Version 1
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.
An explicit version of Chen's theorem
Orders of reductions of elliptic curves with many and few prime factors
The number of prime factors of integers with dense divisors
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