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On the solutions of the equation p=x^2+y^2+1 in Lucas sequences

In 1970, Motohashi proved that there are an infinite number of primes having the form p=x^2+y^2+1 for some nonzero integers x and y. In this paper, we present a technique for studying the solutions of the equation p=x^2+y^2+1, where the unknowns are derived from some Lucas sequences of the first ki...

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Autors principals: Ali Sehen Athab, HAYDER R. HASHIM
Format: Artigo
Idioma:Inglês
Publicat: College of Education for Pure Sciences 2023-06-01
Col·lecció:Wasit Journal for Pure Sciences
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Accés en línia:https://wjps.uowasit.edu.iq/index.php/wjps/article/view/138
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