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Published in:
2013 | OriginalPaper | Chapter
4. What’s True in Mathematics?
Author : Béla Bajnok
Published in: An Invitation to Abstract Mathematics
Publisher: Springer New York
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Abstract
In the last chapter we made the assertions that the statements are true, and we promised arguments that demonstrate them without any doubt. We will provide these in this chapter.
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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.
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If 2 n − 1 is a prime number for some positive integer n, then n is a prime number.