commun. fac. sci. univ. ank. ser. a1 math. stat. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1303-5991 2618-6470 Ankara University 10.31801/cfsuasmas.1315051 Algebra and Number Theory Cebir ve Sayı Teorisi On the Jacobsthal numbers which are the product of two Modified Pell numbers https://orcid.org/0000-0001-8352-2020 Daşdemir Ahmet KASTAMONU UNIVERSITY https://orcid.org/0009-0008-8462-5185 Varol Mehmet KASTAMONU UNIVERSITY 09 27 2024 73 3 604 610 06 15 2023 04 13 2024 Copyright © 1948, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1948 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

This paper presents an analytic study of determining all the possible solutions of the Diophantine equations such that $ {q_k} = {J_m} {J_n} $ and $ {J_k} = {q_m} {q_n} $. These give intersections of the Modified Pell and Jacobsthal numbers too for the case where $ m = 1 $ or $ n = 1 $.

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