Glyn Harman (born 2 November 1956) is a British mathematician working in analytic number theory.^[1] One of his major interests is prime number theory. He is best known for results on gaps between primes and the greatest prime factor of p + a, as well as his lower bound for the number of Carmichael numbers up to X. His monograph Prime-detecting Sieves (2007) was published by Princeton University Press. He has also written a book Metric Number Theory (1998). As well, he has contributed to the field of Diophantine approximation.^[2] Harman also proved that there are infinitely many primes (additive primes) whose sum of digits is prime. (the sequence A046704 in the OEIS).^[3]

Harman retired at the end of 2013 from being a professor at Royal Holloway, University of London.^[1] Previously he was a professor at Cardiff University.

Harman is married, and has three sons,^[1] and used to live in Wokingham, Berkshire before moving to Harrow, Middlesex/Greater London and then Uxbridge.