An upper bound for odd perfect numbers.
Nielsen, Pace P. (2003)
Integers
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Nielsen, Pace P. (2003)
Integers
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Asadulla, Syed (1987)
International Journal of Mathematics and Mathematical Sciences
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Clemens Fuchs, Robert F. Tichy (2003)
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Weingartner, Andreas (2011)
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Florian Luca (2012)
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Fuchs, Clemens (2005)
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Akira Takaku (1987)
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Kihel, Omar, Luca, Florian (2005)
Journal of Integer Sequences [electronic only]
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Luca, Florian (2002)
Mathematica Pannonica
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Florian Luca, T. N. Shorey (2008)
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Marcin Acewicz, Karol Pąk (2017)
Formalized Mathematics
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In this article we formalize several basic theorems that correspond to Pell’s equation. We focus on two aspects: that the Pell’s equation x2 − Dy2 = 1 has infinitely many solutions in positive integers for a given D not being a perfect square, and that based on the least fundamental solution of the equation when we can simply calculate algebraically each remaining solution. “Solutions to Pell’s Equation” are listed as item #39 from the “Formalizing 100 Theorems” list maintained by Freek...
Grytczuk, Aleksander (2006)
Annales Mathematicae et Informaticae
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Hagis, Peter jun. (1988)
International Journal of Mathematics and Mathematical Sciences
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Dubickas, Artūras, Šarka, Paulius (2006)
Journal of Integer Sequences [electronic only]
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Andrica, Dorin, Tudor, Gheorghe M. (2004)
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