An exponential diophantine equation related to odd perfect numbers
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Abstract
We shall show that, for any given primes $\ell\geq 17$ and $p, q\equiv 1\pmod{\ell}$, the diophantine equation $(x^\ell-1)/(x-1)=p^m q$ has at most four positive integral solutions $(x, m)$ and give its application to odd perfect number problem.
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Yamada, T.
(2021).
An exponential diophantine equation related to odd perfect numbers.
Acta Mathematica Universitatis Comenianae, 90(2), 145-155.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1321/873
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