Licencia de Creative Commons Reconocimiento-NoComercial-CompartirIgual 4.0 InternacionalGarcía Máynez, AdalbertoGary, MargaritaPimienta Acosta, Adolfo2019-04-052019-04-05201901399918http://hdl.handle.net/20.500.12442/2878Abstract. If a; b; c are non-zero integers, we considerer the following problem: for which values of n the line ax + by + cz = 0 may be tangent to the curve xn + yn = zn? We give a partial solution: if n = 5 or if n - 1 is a prime a number, then the answer is the line cannot be tangent to the curve. This problem is strongly related to Fermat' s Last Theorem.engarticleinfo:eu-repo/semantics/openAccess