In mathematics, specifically in number theory, a Cunningham number is a certain kind of integer named after English mathematician A. J. C. Cunningham.
Cunningham numbers are a simple type of binomial number – they are of the form where b and n are integers and b is not a perfect power.
Establishing whether or not a given Cunningham number is prime has been the main focus of research around this type of number.
Cunningham worked on gathering together all known data on which of these numbers were prime.
In 1925 he published tables which summarised his findings with H. J. Woodall, and much computation has been done in the intervening time to fill these tables.