Bounded gaps between primes of the special form

Abstract

For each $m\ge 1$, there exist infinitely many primes $p_1<p_2<\dots <p_{m+1}$ such that $p_{m+1}-p_1=O(m^4{e}^{8m})$ and $p_j+2$ has at most $\frac{16m}{\log 2}+\frac{5\log m}{\log 2}+37$ prime divisors for each $j$.

References in corpus (1)

• Bounded length intervals containing two primes and an almost-prime

Cited by in corpus (4)

• Bounded gaps between primes with a given primitive root
• The "bounded gaps between primes" Polymath project - a retrospective
• Primes in intervals of bounded length
• Variants of the Selberg sieve, and bounded intervals containing many primes