On the Diophantine equation \(x^2= y^p+2^kz^p\)
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Publication:558171
DOI10.5802/jtnb.429zbMath1074.11022OpenAlexW2022421308MaRDI QIDQ558171
Publication date: 30 June 2005
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_3_839_0
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THE EXPONENTIAL DIOPHANTINE EQUATION nx + (n + 1)y = (n + 2)z REVISITED ⋮ On some ternary pure exponential Diophantine equations with three consecutive positive integers bases ⋮ Differences between perfect powers: prime power gaps ⋮ Perfect powers generated by the twisted Fermat cubic ⋮ On the number of positive integer solutions \((x, n)\) of the generalized Ramanujan-Nagell equation \(x^2-2^r = p^n\) ⋮ On Lebesgue–Ramanujan–Nagell Type Equations ⋮ On the divisibility of the class number of imaginary quadratic fields ⋮ The diophantine equation x 2 + 2 a · 17 b = y n ⋮ ON AN ELEMENTARY APPROACH TO THE LEBESGUE–NAGELL EQUATION ⋮ TERAI'S CONJECTURE ON EXPONENTIAL DIOPHANTINE EQUATIONS
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