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On the Diophantine equation (5pn(2 )-1)(x) + (p(p-5)n(2 )+1)(y) = (pn)(z)
Adel Alahmadi
and
Florian Luca
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Bulletin mathématiques de la Société des sciences mathématiques de Roumanie, Vol.65(1), pp.3-12
01/01/2022
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Abstract
Mathematics
Physical Sciences
Science & Technology
We find all solutions of the Diophantine equation in the title in positive integers (x, y, z, p, n) where p > 3 is a prime.
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Title
On the Diophantine equation (5pn(2 )-1)(x) + (p(p-5)n(2 )+1)(y) = (pn)(z)
Creators - without role
Adel Alahmadi - King Abdulaziz University
Florian Luca - King Abdulaziz University
Publication Details
Bulletin mathématiques de la Société des sciences mathématiques de Roumanie, Vol.65(1), pp.3-12
Publisher
Soc Matematice Romania
Number of pages
10
Grant note
DF-595-130-1442 / Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah
Identifiers
9937670508331
Academic Unit
King Abdulaziz University
Language
English
Resource Type
Journal article
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