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

Alan

Member
Jul 21, 2012
60
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.
 

CaptainBlack

Well-known member
Jan 26, 2012
890
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