On the diophantine equation $x^2+5^k17^l=y^n$

István Pink; Zsolt Rábai

Displaying similar documents to “On the diophantine equation $x^{2} + 5^{k} 17^{l} = y^{n}$ ”

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 $| S | = r$ .

Method of infinite ascent applied on $- (2^{p} \cdot A^{6}) + B^{3} = C^{2}$

Susil Kumar Jena (2013)

Communications in Mathematics

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In this paper, the author shows a technique of generating an infinite number of coprime integral solutions for $(A, B, C)$ of the Diophantine equation $- (2^{p} \cdot A^{6}) + B^{3} = C^{2}$ for any positive integral values of $p$ when $p \equiv 1$ (mod 6) or $p \equiv 2$ (mod 6). For doing this, we will be using a published result of this author in The Mathematics Student, a periodical of the Indian Mathematical Society.

On the Diophantine equation $x^{2} + 2^{α} 5^{β} 17^{γ} = y^{n}$

Hemar Godinho, Diego Marques, Alain Togbé (2012)

Communications in Mathematics

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In this paper, we find all solutions of the Diophantine equation $x^{2} + 2^{α} 5^{β} 17^{γ} = y^{n}$ in positive integers $x, y \geq 1$ , $α, β, γ, n \geq 3$ with $gcd (x, y) = 1$ .

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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The Diophantine equation $x^{2} + c = y^{n}$ : a brief overview.

Muriefah, Fadwa S.Abu, Bugeaud, Yann (2006)

Revista Colombiana de Matemáticas

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Displaying similar documents to “On the diophantine equation x 2 + 5 k 17 l = y n ”

A note on the number of S -Diophantine quadruples

Method of infinite ascent applied on - ( 2 p · A 6 ) + B 3 = C 2

On the Diophantine equation x 2 + 2 α 5 β 17 γ = y n

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

The Diophantine equation x 2 + c = y n : a brief overview.

Displaying similar documents to “On the diophantine equation $x^{2} + 5^{k} 17^{l} = y^{n}$ ”

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

Method of infinite ascent applied on $- (2^{p} \cdot A^{6}) + B^{3} = C^{2}$

On the Diophantine equation $x^{2} + 2^{α} 5^{β} 17^{γ} = y^{n}$

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

The Diophantine equation $x^{2} + c = y^{n}$ : a brief overview.