On the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma =y^n$

Hemar Godinho; Diego Marques; Alain Togbé

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Displaying similar documents to “On the Diophantine equation $x^{2} + 2^{α} 5^{β} 17^{γ} = y^{n}$ ”

On the diophantine equation $x^{2} + 5^{k} 17^{l} = y^{n}$

István Pink, Zsolt Rábai (2011)

Communications in Mathematics

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Consider the equation in the title in unknown integers $(x, y, k, l, n)$ with $x \geq 1$ , $y > 1$ , $n \geq 3$ , $k \geq 0$ , $l \geq 0$ and $gcd (x, y) = 1$ . Under the above conditions we give all solutions of the title equation (see Theorem 1).

A note on the Diophantine equation $D_{1} x^{2} + D_{2} = a k^{n}$ .

Mollin, R.A. (2005)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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A note on the number of $S$ -Diophantine quadruples

Florian Luca, Volker Ziegler (2014)

Communications in Mathematics

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Let $(a_{1}, \dots, a_{m})$ be an $m$ -tuple of positive, pairwise distinct integers. If for all $1 \leq i < j \leq m$ the prime divisors of $a_{i} a_{j} + 1$ come from the same fixed set $S$ , then we call the $m$ -tuple $S$ -Diophantine. In this note we estimate the number of $S$ -Diophantine quadruples in terms of $| S | = r$ .

Displaying similar documents to “On the Diophantine equation x 2 + 2 α 5 β 17 γ = y n ”

On the diophantine equation x 2 + 5 k 17 l = y n

A note on the Diophantine equation D 1 x 2 + D 2 = a k n .

A note on the number of S -Diophantine quadruples

Displaying similar documents to “On the Diophantine equation $x^{2} + 2^{α} 5^{β} 17^{γ} = y^{n}$ ”

On the diophantine equation $x^{2} + 5^{k} 17^{l} = y^{n}$

A note on the Diophantine equation $D_{1} x^{2} + D_{2} = a k^{n}$ .

A note on the number of $S$ -Diophantine quadruples