On the Diophantine equation $x²+2^{\alpha }{13}^{\beta }=yⁿ$

Florian Luca, and Alain Togbé. "On the Diophantine equation $x² + 2^{α}13^{β} = yⁿ$." Colloquium Mathematicae 116.1 (2009): 139-146. <http://eudml.org/doc/283901>.

@article{FlorianLuca2009,
abstract = {We find all the solutions of the Diophantine equation $x² + 2^\{α\}13^\{β\} = yⁿ$ in positive integers x,y,α,β,n ≥ 3 with x and y coprime.},
author = {Florian Luca, Alain Togbé},
journal = {Colloquium Mathematicae},
keywords = {exponential Diophantine equations},
language = {eng},
number = {1},
pages = {139-146},
title = {On the Diophantine equation $x² + 2^\{α\}13^\{β\} = yⁿ$},
url = {http://eudml.org/doc/283901},
volume = {116},
year = {2009},
}

TY - JOUR
AU - Florian Luca
AU - Alain Togbé
TI - On the Diophantine equation $x² + 2^{α}13^{β} = yⁿ$
JO - Colloquium Mathematicae
PY - 2009
VL - 116
IS - 1
SP - 139
EP - 146
AB - We find all the solutions of the Diophantine equation $x² + 2^{α}13^{β} = yⁿ$ in positive integers x,y,α,β,n ≥ 3 with x and y coprime.
LA - eng
KW - exponential Diophantine equations
UR - http://eudml.org/doc/283901
ER -