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A Note on the Theorem of Maynard and Tao

A Note on the Theorem of Maynard and Tao

In a recent and much celebrated breakthrough, Maynard and Tao have independently proved a certain approximation to the prime k-tuple conjecture. We have subsequently seen numerous interesting applications of the Maynard–Tao sieve method, and in this short survey we will discuss some of its consequences for patterns in the gaps …