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On some properties of the Euler's factor of certain odd perfect numbers

✍ Scribed by Paolo Starni

No coin nor oath required. For personal study only.

✦ Synopsis

Let n = 3 2 Q 2 be an odd positive integer, with prime, ≡ ≡ 1 (mod 4), Q squarefree,

). Some corollaries concerning the Euler's factor of odd perfect numbers of the above mentioned form, if any, are deduced.

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