List questions from exponential-diophantine-equations

Published on 11 May 2017 - 2:21

170

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Find all non-negative integral solutions to the equation $2013^q+2014^w=2015^r$.

Published on 07 Aug 2020 - 13:15

289

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Base-Exponent Invariants

Published on 18 Aug 2020 - 22:45

218

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Diophantine equation power of 7 and 2

Published on 08 Sep 2020 - 13:33

264

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Power values of polynomial

Published on 23 Sep 2020 - 18:47

85

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Are there any solutions to this nonlinear diophantine equation?

Published on 30 Sep 2020 - 7:00

141

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Are there easier ways to solve this integer equation than brute-force

Published on 30 Sep 2020 - 8:57

100

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When is $b^2 - \{b-1\}_2$ with odd $b$ a perfect power of $2$? (The bracket-notation explained below)

Published on 05 Oct 2020 - 19:12

104

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Find all $n,x \in \Bbb N$ such that $3\cdot2^x+4=n^2$

Published on 20 Oct 2020 - 20:22

75

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Minimizing a diophantine equation

Published on 03 Nov 2020 - 5:19

74

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Minimal value of a diophantine expression

Published on 04 Nov 2020 - 9:55

24

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Divisibility of sum of three powers times two powers

Published on 11 Nov 2020 - 23:06

74

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Integer solution of $2 m (2^{n+1} - 1) = n (3^{m+1} - 1)$

Published on 24 Nov 2020 - 14:58

130

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How many solutions for $37+\frac{3(x-1)x}2+3^{x+2}=y^2\,$?

Published on 26 Dec 2020 - 9:25

432

Views

Find the integer solutions to $4^x - 9^y = 55$

Published on 04 Jan 2021 - 22:36

List Question

Does $x^{-x}$ have rational solutions when $x$ is a non-integer rational?

Find all non-negative integral solutions to the equation $2013^q+2014^w=2015^r$.

Base-Exponent Invariants

Diophantine equation power of 7 and 2

Power values of polynomial

Are there any solutions to this nonlinear diophantine equation?

Are there easier ways to solve this integer equation than brute-force

When is $b^2 - \{b-1\}_2$ with odd $b$ a perfect power of $2$? (The bracket-notation explained below)

Find all $n,x \in \Bbb N$ such that $3\cdot2^x+4=n^2$

Minimizing a diophantine equation

Minimal value of a diophantine expression

Divisibility of sum of three powers times two powers

Integer solution of $2 m (2^{n+1} - 1) = n (3^{m+1} - 1)$

How many solutions for $37+\frac{3(x-1)x}2+3^{x+2}=y^2\,$?

Find the integer solutions to $4^x - 9^y = 55$

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