On the Diophantine equation $x(x + 1)\dotsm (x + n) + 1 = y^2$ $(17 \le n = \mbox {odd} \le 27)$

Wada, Hideo

Wada, Hideo

Proc. Japan Acad. Ser. A Math. Sci., Tome 79 (2003) no. 3, p. 99-100 / Harvested from Project Euclid

Résumé

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.

Publié le : 2003-05-14
Classification: Diophantine equation, 11Y50

@article{1116443677,
     author = {Wada, Hideo},
     title = {On the Diophantine equation $x(x + 1)\dotsm (x + n) + 1 = y^2$ $(17 \le n = \mbox {odd} \le 27)$},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {79},
     number = {3},
     year = {2003},
     pages = { 99-100},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1116443677}
}

Wada, Hideo. 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., Tome 79 (2003) no. 3, pp.  99-100. http://gdmltest.u-ga.fr/item/1116443677/