ACHWAQ, ACHOURNOURELHOUDA, AOUINASupervisor: Yahia, ZouaregCo-supervisor: Abdelkrim, Merzougui2025-07-022025-07-022025-06-15https://repository.univ-msila.dz/handle/123456789/46613Inthiswork,providesabriefoverviewofDiophantineequations,emphasiz-ingtheirhistorical signifcance,classifcations,solutiontechniques,andappli-cationsincontemporarymathematicsand beyond.enBezout’s identityCoprimeCongruenceGeneral solutiongcdLinear Diophantine equationNon-linearDiophantineequationPell’sequationPythagoreantripleThesis