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Consecutive primes in tuples

Consecutive primes in tuples

In a stunning new advance towards the Prime $k$-Tuple Conjecture, Maynard and Tao have shown that if $k$ is sufficiently large in terms of $m$, then for an admissible $k$-tuple $ \mathcal H(x) = \{gx + h_j\}_{j=1}^k $ of linear forms in $\mathbb Z[