JIPAM logo: Home Link
Home Editors Submissions Reviews Volumes RGMIA About Us

  Volume 9, Issue 1, Article 29
Properties of Non Powerful Numbers

    Authors: Vlad Copil, Laurentiu Panaitopol,  
    Keywords: Powerful numbers, Sequences, Inequalities, Goldbach's conjecture.  
    Date Received: 11/01/2008  
    Date Accepted: 10/03/2008  
    Subject Codes:

11B83, 11P32, 26D07.

    Editors: László Tóth,  

In this paper we study some properties of non powerful numbers. We evaluate the $ n$-th non powerful number and prove for the sequence of non powerful numbers some theorems that are related to the sequence of primes: Landau, Mandl, Scherk. Related to the conjecture of Goldbach, we prove that every positive integer $ ge3$ is the sum between a prime and a non powerful number.

  Download Screen PDF
  Download Print PDF
  Send this article to a friend
  Print this page

      search [advanced search] copyright 2003 terms and conditions login