Abstract
In this note, we prove that if $\{a,b,c,d,e\}$ with $a<b<c<d<e$ is a Diophantine quintuple, then $d<10^{74}$.
Citation
Wenquan Wu. Bo He. "On Diophantine quintuple conjecture." Proc. Japan Acad. Ser. A Math. Sci. 90 (6) 84 - 86, June 2014. https://doi.org/10.3792/pjaa.90.84
Information
Published: June 2014
First available in Project Euclid: 30 May 2014
zbMATH: 1307.11039
MathSciNet: MR3216027
Digital Object Identifier: 10.3792/pjaa.90.84
Subjects:
Primary:
11D09
Keywords:
Diophantine $m$-tuples
,
Pell equations
,
upper bound
Rights: Copyright © 2014 The Japan Academy
