%AKevin Ford%AAlessandro Zaccagnini Ed.%BJournal Name: Rivista di matematica della Università di Parma; Journal Volume: 12; Journal Issue: 1 %D2021%I %JJournal Name: Rivista di matematica della Università di Parma; Journal Volume: 12; Journal Issue: 1 %K %MOSTI ID: 10338321 %PMedium: X %TLarge prime gaps and progressions with few primes %XWe show that the existence of arithmetic progressions with few primes, with a quantitative bound on ''few'', implies the existence of larger gaps between primes less than x than is currently known unconditionally. In particular, we derive this conclusion if there are certain types of exceptional zeros of Dirichlet L-functions. %0Journal Article