SU\G(𝔸)/K·U

Gaps between Consecutive Primes

Type: Dataset

Publication Date: 2007-04-27

Citations: 0

DOI: https://doi.org/10.3840/07000891

Abstract

Let p n denote the n-th prime.For any m ≥ 1, there exist infinitely many n such that p np n-m ≤ C m for some large constant C m > 0, andfor some small constant c m > 0. Furthermore, we also obtain a related result concerning the least primes in arithmetic progressions.

Locations

  • arXiv (Cornell University) - View - PDF
  • Wolfram Demonstrations Project - View

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Works Cited by This (20)

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+ On the Ratio of Consecutive Gaps Between Primes 2015 J. Pintz
+ Chains of large gaps between consecutive primes 1981 Helmut Maier
+ PDF Chat ON THE DIFFERENCE OF CONSECUTIVE PRIMES 1935 P. Erdős
+ Asymptotic behavior of the chromatic index for hypergraphs 1989 Nicholas Pippenger
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+ Very Large Gaps between Consecutive Primes 1997 J. Pintz
+ PDF Chat Small gaps between primes 2014 James Maynard
+ PDF Chat On the order of magnitude of the difference between consecutive prime numbers 1936 Harald Cramér
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+ MULTIPLICATIVE NUMBER THEORY 1970 Enrico Bombieri
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