To help you "come up with a paper" (a structure for your presentation or a research summary) on Diophantine Equations
: Focuses on "forming" and "manipulating" equations, specifically using factorisation tools like the difference of two squares [27]. McGill University Colloquium Slides diophantine equation ppt
For those looking for deeper mathematical theory, including non-linear and Pell's equations. To help you "come up with a paper"
General formula: Let (m>n), coprime, opposite parity: (m=2,n=1) → (x=3, y=4, z=5) ✓ opposite parity: (m=2