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arXiv · 1706.05480

On the conjecture of Je\'smanowicz

Gökhan Soydan·Musa Demirci·Ismail Naci Cangul·Alain Togbé
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Abstract

We give a survey on some results covering the last 60 years concerning Je\'smanowicz' conjecture. Moreover, we conclude the survey with a new result by showing that the special Diophantine equation $$(20k)^x+(99k)^y=(101k)^z$$ has no solution other than $(x,y,z)=(2,2,2)$.

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Gökhan Soydan, Musa Demirci, Ismail Naci Cangul, Alain Togbé. 2017-06-17. On the conjecture of Je\'smanowicz. https://arxiv.org/abs/1706.05480

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