Geodesic
On the diophantine equation $x^2+5^k17^l=y^n$
Communications in Mathematics, Tome 19 (2011) no. 1, pp. 1-9

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Consider the equation in the title in unknown integers $(x,y,k,l,n)$ with $x \ge 1$, $y >1$, $n \ge 3$, $k \ge 0$, $l \ge 0$ and $\gcd (x,y)=1$. Under the above conditions we give all solutions of the title equation (see Theorem 1).
Classification : 11D41, 11D61
Keywords: exponential diophantine equations; primitive divisors 
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     title = {On the diophantine equation $x^2+5^k17^l=y^n$},
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Pink, István; Rábai, Zsolt. On the diophantine equation $x^2+5^k17^l=y^n$. Communications in Mathematics, Tome 19 (2011) no. 1, pp. 1-9. http://geodesic.mathdoc.fr/item/COMIM_2011__19_1_a0/