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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
College of Education for Pure Sciences
2023-06-01
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| Series: | Wasit Journal for Pure Sciences |
| Subjects: | |
| Online Access: | https://wjps.uowasit.edu.iq/index.php/wjps/article/view/138 |