A Computer-Based Approach to Solving the Diophantine Equation $7^x-3^y=100$
Keywords:
exponential diophantine equation; prime number; order of an integer modulo another integer
Abstract
Assisted by Octave and by a website where one can find the order of a modulo m (here a and m are relatively prime natural numbers), I found a proof for showing that the diophantine equation $7^x - 3^y = 100$ has only the solution (x,y) = (3,5) in positive integers.
Published
2022-07-22
How to Cite
Dima, A. (2022). A Computer-Based Approach to Solving the Diophantine Equation $7^x-3^y=100$. The PUMP Journal of Undergraduate Research, 5, 161-164. https://doi.org/10.46787/pump.v5i0.2874
Section
Articles
Copyright (c) 2022 Andreea Dima
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