What’s True in Mathematics?

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


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.


Assure Fermat 

Copyright information

© Béla Bajnok 2013

Authors and Affiliations

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

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