Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-26T23:01:07.292Z Has data issue: false hasContentIssue false
  • English
  • Français

ON PRIMES AND POWERS OF A FIXED INTEGER

Published online by Cambridge University Press:  24 March 2003

P. D. T. A. ELLIOTT
P. D. T. A. ELLIOTT
Affiliation:
Department of Mathematics, University of Colorado, Boulder, CO 80309-0395, [email protected]
Get access

Abstract

According to a 1904 conjecture of Dickson [2] unless prevented by congruence conditions, any finite collection of linear forms in $\Z[x]$ with positive leading coefficients infinitely often simultaneously represent primes. For the forms $x,x+2$ this includes the conjectured infinitude of prime-pairs.

Keywords

11N0511D8511N25
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 67 , Issue 2 , April 2003 , pp. 365 - 379
Copyright
The London Mathematical Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)