Geodesic
On the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma =y^n$
Communications in Mathematics, Tome 20 (2012) no. 2, pp. 81-88.

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In this paper, we find all solutions of the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma = y^n$ in positive integers $x,y\geq 1$, $\alpha ,\beta ,\gamma ,n\geq 3$ with $\gcd (x,y)=1$.
Classification : 11D61, 11Y50
Keywords: Diophantine equation; exponential equation; primitive divisor theorem 
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Godinho, Hemar; Marques, Diego; Togbé, Alain. On the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma =y^n$. Communications in Mathematics, Tome 20 (2012) no. 2, pp. 81-88. http://geodesic.mathdoc.fr/item/COMIM_2012__20_2_a2/