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.


Positive Integer Prime Number Axiomatic System Fermat Number Indirect Proof 
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Copyright information

© Béla Bajnok 2013

Authors and Affiliations

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

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