This analysis finds integer solutions for the equation involving twin primes, suggesting patterns in integers.
In this study, an exponential Diophantine equation ma + nb = c2 where m, n are twin primes and a, b, c are non-negative integers is measured for all the possibilities of a + b = 0, 1, 2, 3 and demonstrated that all potential integer solutions are (m, n, a, b, c) = (3, 5, 1, 0, 2),(17, 19, 1, 1, 6) and (71, 73, 1, 1, 12) by adhering to basic mathematical rules.
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Shankari et al. (2025) studied this question.
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