A Computer-Based Approach to Solving the Diophantine Equation $7^x-3^y=100$

Authors

  • Andreea Dima University of Bucharest

DOI:

https://doi.org/10.46787/pump.v5i0.2874

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.

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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

Issue

Vol. 5 (2022): PUMP Journal of Undergraduate Research

Section

Articles

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