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There are no Diophantine quadruples of Pell numbers
International Journal of Number Theory ( IF 0.5 ) Pub Date : 2021-07-01 , DOI: 10.1142/s179304212250004x
Salah Eddine Rihane 1, 2 , Florian Luca 3 , Alain Togbé 4
Affiliation  

In this paper, we prove that there are no positive integers a, b, c and d such that {Pa,Pb,Pc,Pd} is a Diophantine quadruple, where for a positive integer m, Pm is the mth Pell number.

中文翻译:

没有丢番图四倍数的佩尔数

在本文中,我们证明不存在正整数一种,b,Cd这样{一种,b,C,d}是丢番图四元组,其中对于一个正整数,是个佩尔号。
更新日期:2021-07-01
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