EMPIRICAL EVIDENCE FOR A PROPOSED DISTRIBUTION OF SMALL PRIME GAPS

Abstract

The distribution of small gaps between adjacent prime numbers is studied. A model for this distribution is derived from probability arguments. Empirical evidence strongly supports this model. An asymptotic density function for twin primes is suggested, and support is given to the conjecture that there is an infinity of twin primes.

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Document Details

Document Type
Technical Report
Publication Date
Feb 28, 1969
Accession Number
AD0696982

Entities

People

  • Richard P. Brent

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Computations
  • Computer Science
  • Computers
  • Frequency
  • Intervals
  • Military Research
  • Number Theory
  • Numbers
  • Prime Numbers
  • Probability
  • Square Roots
  • Theorems
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Computational Modeling and Simulation
  • Materials Science and Engineering.