Another generalization of a theorem of Baker and Davenport

Bo He; Ákos Pintér; Alain Togbe; Shichun Yang

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arXiv · 1510.05579

Another generalization of a theorem of Baker and Davenport

Bo He·Ákos Pintér·Alain Togbe·Shichun Yang

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Abstract

Dujella and Pethő, generalizing a result of Baker and Davenport, proved that the set $\{1, 3\}$ cannot be extended to a Diophantine quintuple. As a consequence of our main result, it is shown that the Diophantine pair $\{1, b\}$ cannot be extended to a Diophantine quintuple if $b-1$ is a prime.

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Bo He, Ákos Pintér, Alain Togbe, Shichun Yang. 2015-11-02. Another generalization of a theorem of Baker and Davenport. https://arxiv.org/abs/1510.05579

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