PRIMALITY OF A CERTAIN CLASS OF INTEGERS

Abstract

This report is concerned with determining the primeness of the members of a class of numbers of the form, B sub p = 2 to the pth power + 1/3, where p is an odd prime. This class is similar to the Mersenne and Fermat numbers. A theorem is proven which characterizes the factors of B sub p. This study was conducted using BRLESC, the high-speed digital computer at BRL and a description is given of the program used. Finally, the B sub p's that were found to be prime as well as the B sub p's that were found to be composite are tabulated.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1965
Accession Number
AD0627379

Entities

People

  • Lynn S. Mohler

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Classification
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  • Computers
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  • Contracts
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  • Maryland
  • Mathematics
  • Military Research
  • Numbers
  • Ordnance Laboratories
  • Prime Numbers
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  • Analytical Mechanics
  • Computer Science.
  • Graph Algorithms and Convex Optimization.