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The Goldbach Conjecture

In: Basic Analytic Number Theory

Author

Listed:
  • Anatolij A. Karatsuba

    (Steklov Mathematical Institute)

  • Melvyn B. Nathanson

    (School of Mathematics, Institute for Advanced Study
    Lehman College (CUNY), Department of Mathematics)

Abstract

In this chapter we investigate the question of the representation of an odd integer N as the sum of three prime numbers (the Goldbach Conjecture). We shall prove I.M. Vinogradov’s theorem on the asymptotic formula for the number of representations of N as the sum of three primes, from which it will follow that every sufficiently large odd number can be written as the sum of three primes.

Suggested Citation

  • Anatolij A. Karatsuba & Melvyn B. Nathanson, 1993. "The Goldbach Conjecture," Springer Books, in: Basic Analytic Number Theory, chapter 0, pages 141-159, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-58018-5_10
    DOI: 10.1007/978-3-642-58018-5_10
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