SU\G(𝔸)/K·U

Small differences between prime numbers

Enrico Bombieri, H. Davenport

Type: Article

Publication Date: 1966-07-05

Citations: 91

DOI: https://doi.org/10.1098/rspa.1966.0155

Abstract

Let p n denote the n th prime number. The present investigation relates to the existence of relatively small values of p n +1 ─ p n when n is large, and establishes more precise results than those previously known.

Locations

  • Proceedings of the Royal Society of London A Mathematical and Physical Sciences - View
  • Project Euclid (Cornell University) - View - PDF

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Works Cited by This (7)

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+ PDF Chat The difference of consecutive primes 1940 P. Erdős
+ Some Series Involving Euler's Function 1927 Devon Ward
+ On the large sieve 1965 Enrico Bombieri
+ The difference between consecutive prime numbers. II 1940 R. A. Rankin
+ PDF Chat The difference between consecutive prime numbers. IV 1950 R. A. Rankin
+ The Difference between Consecutive Prime Numbers, III 1947 R. A. Rankin
+ An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford) 1946 T. A. A. B.