PRIMES, POLYNOMIALS AND ALMOST PRIMES,

Abstract

A set of almost primes is a set of integers each of which contains no more than a fixed number of prime factors. An integral valued polynomial F (n) which is of degree h and which has k irreducible factors, for example, will generate a sequence of almost primes, the bound being approximately (9h/5 + k log k). The sequence (F(p)), where p is a prime is shown to contain an infinite subsequence of almost primes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1943
Accession Number
AD0421024

Entities

People

  • Ronald J. Miech

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Integrals
  • Polynomials
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.