MHB Odd Perfect number must have the form r^{4n+1} p^2

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The discussion centers on the form of odd perfect numbers, specifically that they must take the shape r^{4n+1} p^2. A user seeks a textbook or explanation to better understand this concept, noting difficulty with a reference in Disckosn's History of Number Theory. Another participant suggests looking into Euler's proof for clarity. The conversation highlights the need for accessible resources on the topic of odd perfect numbers. Understanding this form is crucial for further exploration in number theory.
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Hi, I am looking for a textbook (or if you want you can explain it to me) that explains how we show that an odd perfect number if of the above form.

I checked it in Disckosn's History of number theory vol 1 page 19, but didn't quite grasped it (I believe he quite hand waved this proof).

Thanks in advance, Alan.
 
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Alan said:
Hi, I am looking for a textbook (or if you want you can explain it to me) that explains how we show that an odd perfect number if of the above form.

I checked it in Disckosn's History of number theory vol 1 page 19, but didn't quite grasped it (I believe he quite hand waved this proof).

Thanks in advance, Alan.

You can find an account of Euler's proof >>here<<

CB
 
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