Abstract
In the last chapter we made the assertions that the statements
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The number \({2}^{n-1}({2}^{n} - 1)\) is a perfect number for each positive integer n for which 2n − 1 is a prime number.
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If 2n − 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.
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© 2013 Béla Bajnok
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Bajnok, B. (2013). What’s True in Mathematics?. In: An Invitation to Abstract Mathematics. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6636-9_4
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DOI: https://doi.org/10.1007/978-1-4614-6636-9_4
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Publisher Name: Springer, New York, NY
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