“…Although new ideas appear to be required to prove the Twin Prime Conjecture, the breakthroughs of Theorems 7, 8 and 9 have already had several further applications, including new results on large gaps between primes [21,20,52], the resolution of the Erdős discrepancy problem [65], as well as many other results on the distribution of primes [67,51,69,12,6,28,57,42,2,49,3,16,72,70,55,56,33,4,5,1,37,53,58,1,45,43] and correlations of multiplicative functions [68,48,39,38,30,41,27,26].…”