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Tuesday, September 29, 2020

**Abstract:** In this talk, we discuss the number of ways to write a given integer as a sum of primes in an arithmetic progression. While the study of asymptotics for the number of ordinary partitions goes back to Hardy and Ramanujan, partitions into primes were recently re-visited by Vaughan. If time permits, we compare our results with some known estimates in special cases and discuss connections to certain classical results in analytic number theory.