Open Access
May 2003 On the Diophantine equation $x(x + 1)\dotsm (x + n) + 1 = y^2$ $(17 \le n = \mbox {odd} \le 27)$
Hideo Wada
Proc. Japan Acad. Ser. A Math. Sci. 79(5): 99-100 (May 2003). DOI: 10.3792/pjaa.79.99

Abstract

We consider the Diophantine equation as mentioned in the title and solve it completely, i.e., show that there exist no integer solution satisfying this equation.

Citation

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Hideo Wada. "On the Diophantine equation $x(x + 1)\dotsm (x + n) + 1 = y^2$ $(17 \le n = \mbox {odd} \le 27)$." Proc. Japan Acad. Ser. A Math. Sci. 79 (5) 99 - 100, May 2003. https://doi.org/10.3792/pjaa.79.99

Information

Published: May 2003
First available in Project Euclid: 18 May 2005

zbMATH: 1186.11014
MathSciNet: MR1980608
Digital Object Identifier: 10.3792/pjaa.79.99

Subjects:
Primary: 11Y50

Keywords: Diophantine equation

Rights: Copyright © 2003 The Japan Academy

Vol.79 • No. 5 • May 2003
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