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A note on the diophantine equation x2 + 1 = dy4
Authors:Chen Jian Hua
Affiliation:1. Wuhan University, 430072, Wuhan, People’s Republic of China
Abstract:In this paper we prove that the Diophantine equation as in the title has at most one integer solution if $ in > 5 times 10^7 $ where $ in = u + upsilon sqrt d $ is the least positive solution of Pell’s equation $x^2 - dy^2 = - 1$
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