On the Diophantine equation $x^2+C=y^n$, for $C=2^{a}3^{b}17^{c}$ and $C=2^{a}13^{b}17^{c}$

Rok, strany: 2016, 565 - 574

In this paper, we find all solutions of the Diophantine equation $x^2+C=y^n$ in integers $x,y\geq 1$, $a,b,c\geq 0$, $n\geq 3$, with $\gcd(x,y)=1$, when $C=2^a 3^b 17^c$ and $C=2^a 13^b 17^c$.

ISO 690:

Godinho, H., Marques, D., Togbé, A. 2016. On the Diophantine equation $x^2+C=y^n$, for $C=2^{a}3^{b}17^{c}$ and $C=2^{a}13^{b}17^{c}$. In Mathematica Slovaca, vol. 66, no.3, pp. 565-574. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0159

APA:

Godinho, H., Marques, D., Togbé, A. (2016). On the Diophantine equation $x^2+C=y^n$, for $C=2^{a}3^{b}17^{c}$ and $C=2^{a}13^{b}17^{c}$. Mathematica Slovaca, 66(3), 565-574. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0159