Goldbach’s Conjectures: A Historical Perspective

Robert C. Vaughan ()
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Robert C. Vaughan: Pennsylvania State University, Department of Mathematics

A chapter in Open Problems in Mathematics, 2016, pp 479-520 from Springer

Abstract: Abstract In 1742, Goldbach and Euler in conversation and in an exchange of letters discussed the representation of numbers as sums of at most three primes. Although the question as to whether every even number is the sum of one or two primes (the binary Goldbach conjecture) is still unresolved, this and associated questions have attracted many mathematicians over the years, and have lead to a range of powerful techniques with many applications. This article is a commentary on the historical developments, the underlying key ideas and their widespread influence on a variety of central questions.

Keywords: Residue Class; Prime Number Theorem; Large Sieve; Generalise Riemann Hypothesis; Waring Problem (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-32162-2_16

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DOI: 10.1007/978-3-319-32162-2_16

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