Nuno Freitas

collaborators

2 papers

math.NT2025

Revisiting the Fermat-type equation $x^{13} + y^{13} = 3 z^{7}$

Nicolas Billerey, Imin Chen, Lassina DembÃ©lÃ© +2

We solve the Fermat-type equation \[ x^{13} + y^{13} = 3 z^7, \qquad \gcd(x,y,z) = 1 \] combining a unit sieve, the multi-Frey modular method, level raising, computations of system…

math.NT2025

The Generalized Fermat Equation $x^{2} + y^{3} = z^{25}$

Nuno Freitas, Michael Stoll

We consider the generalized Fermat equation (*) $x^{2} + y^{3} = z^{25}$ . Using the known parameterization of the primitive integral solutions to $x^{2} + y^{3} = z^{5}$ (due to Edwards), we…

Revisiting the Fermat-type equation x13+y13=3z7

The Generalized Fermat Equation x2+y3=z25

Revisiting the Fermat-type equation $x^{13} + y^{13} = 3 z^{7}$

The Generalized Fermat Equation $x^{2} + y^{3} = z^{25}$