Download PDFOpen PDF in browserNew Existence Results for Odd Perfect Numbers of the Form n = p^α x N^2βEasyChair Preprint 94476 pages•Date: December 11, 2022AbstractLet n be an odd perfect number of the form n = pαN2β , where N, β, α are positive integers, N > 2 is square free, p is a prime satisfying p ≡ α ≡ 1 (mod 4) and p∤N. We prove that β ≠ 27, 42. Keyphrases: Eulerian Form, Odd perfect numbers, divisor function
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