Advertisement

What’s True in Mathematics?

  • Béla Bajnok
Chapter
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

In the last chapter we made the assertions that the statements
  • The number \({2}^{n-1}({2}^{n} - 1)\) is a perfect number for each positive integer n for which 2 n − 1 is a prime number.

  • If 2 n − 1 is a prime number for some positive integer n, then n is a prime number.

are true, and we promised arguments that demonstrate them without any doubt. We will provide these in this chapter.

Keywords

Positive Integer Prime Number Axiomatic System Fermat Number Indirect Proof 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Béla Bajnok 2013

Authors and Affiliations

  • Béla Bajnok
    • 1
  1. 1.Department of MathematicsGettysburg CollegeGettysburgUSA

Personalised recommendations