Glyn Harman (born 2 November 1956) is a British

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

working in

analytic number theory In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dir ...

. One of his major interests is

prime number A prime number (or a prime) is a natural number greater than 1 that is not a Product (mathematics), product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime ...

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 number In number theory, a Carmichael number is a composite number which in modular arithmetic satisfies the congruence relation: : b^n\equiv b\pmod for all integers . The relation may also be expressed in the form: : b^\equiv 1\pmod for all integers b ...

s up to X. His monograph ''Prime-detecting Sieves'' (2007) was published by

Princeton University Press Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large. The press was founded by Whitney Darrow, with the financial ...

. He has also written a book ''Metric Number Theory'' (1998). As well, he has contributed to the field of

Diophantine approximation In number theory, the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus of Alexandria. The first problem was to know how well a real number can be approximated ...

. Harman also proved that there are infinitely many primes (additive primes) whose sum of digits is prime. (the sequenc
A046704
in the

OEIS The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching at AT&T Labs. He transferred the intellectual property and hosting of the OEIS to th ...

).The OEI
additive primes
/ref> Harman retired at the end of 2013 from being a professor at

Royal Holloway, University of London Royal Holloway, University of London (RH), formally incorporated as Royal Holloway and Bedford New College, is a public university, public research university and a constituent college, member institution of the federal University of London. It ...

. Previously he was a professor at

Cardiff University Cardiff University () is a public research university in Cardiff, Wales. It was established in 1883 as the University College of South Wales and Monmouthshire and became a founding college of the University of Wales in 1893. It was renamed Unive ...

. Harman is married, and has three sons, and used to live in

Wokingham Wokingham ( ) is a market town and civil parish in Berkshire, England. It is the main administrative centre of the wider Borough of Wokingham. At the 2021 census the parish had a population of 38,284 and the wider built-up area had a populati ...

, Berkshire before moving to

Harrow Harrow may refer to: Places * Harrow, Victoria, Australia * Harrow, Ontario, Canada * The Harrow, County Wexford, a village in Ireland * London Borough of Harrow, England * Harrow, London, a town in London * Harrow (UK Parliament constituency) * ...

, Middlesex/Greater London and then

Uxbridge Uxbridge () is a suburban town in west London, England, and the administrative headquarters of the London Borough of Hillingdon, northwest of Charing Cross. Uxbridge formed part of the parish of Hillingdon in the county of Middlesex. As part ...

References

External links

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of Glyn Harman Academics of Royal Holloway, University of London Academics of Cardiff University Living people 20th-century British mathematicians 21st-century British mathematicians British number theorists 1956 births People educated at Ashford County Grammar School {{UK-mathematician-stub