Geodesic
On the Diophantine equation $x^2 + 2^{\alpha} 13^{\beta}= y^{n}$
Florian Luca1 ; Alain Togbé2
1 Instituto de Matemáticas UNAM Campus Morelia Apartado Postal 27-3 (Xangari) C.P. 58089 Morelia, Michoacán, Mexico
2 Mathematics Department Purdue University North Central 1401 S, U.S. 421 Westville, IN 46391 U.S.A.
Colloquium Mathematicum, Tome 116 (2009) no. 1, pp. 139-146.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We find all the solutions of the Diophantine equation $$x^2 + 2^{\alpha} 13^{\beta}= y^n$$ in positive integers $x,y,\alpha,\beta,n\ge 3$ with $x$ and $y$ coprime.
DOI : 10.4064/cm116-1-7
Mots-clés : solutions diophantine equation alpha beta positive integers alpha beta coprime

Florian Luca 1 ; Alain Togbé 2

1 Instituto de Matemáticas UNAM Campus Morelia Apartado Postal 27-3 (Xangari) C.P. 58089 Morelia, Michoacán, Mexico
2 Mathematics Department Purdue University North Central 1401 S, U.S. 421 Westville, IN 46391 U.S.A. 
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Florian Luca; Alain Togbé. On the Diophantine equation $x^2 + 2^{\alpha} 13^{\beta}=
y^{n}$. Colloquium Mathematicum, Tome 116 (2009) no. 1, pp. 139-146. doi : 10.4064/cm116-1-7. http://geodesic.mathdoc.fr/articles/10.4064/cm116-1-7/

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