TY - JOUR
AU - Andreea Dima
PY - 2022/07/22
Y2 - 2023/10/03
TI - A Computer-Based Approach to Solving the Diophantine Equation $7^x-3^y=100$
JF - The PUMP Journal of Undergraduate Research
JA - PUMP J. Undergrad. Res.
VL - 5
IS - 0
SE - Articles
DO -
UR - https://journals.calstate.edu/pump/article/view/2874
AB - 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.
ER -