John B. Cosgrave
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John B. Cosgrave
Dr. John B. Cosgrave (born 5 January 1946) is an Irish mathematician specialising in number theory. Born in Bailieborough, County Cavan, he was educated at Royal Holloway College, London, he lectured in Carysfort College (Blackrock, Dublin) and St Patrick's College of Education (Drumcondra). Other In January 1999, while preparing some work for his students, he identified a highly structured prime number with exactly two thousand digits. Dubbing this prime a millennium prime, he wrote an email about it to a niece and nephew, which was subsequently published by Folding Landscapes, the publishing house of the cartographer Tim Robinson. He donated his author royalties to the Irish Cancer Society, and subsequently wrote an ''Irishman's Diary'' column about it for the Irish Times newspaper. In July 1999 – while a participant in the Proth Search Group – he became the discoverer of the then-largest known composite Fermat number, a record which his St. Patrick's College (Drumcondr ...
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Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ...
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