List questions from exponential-diophantine-equations

Published on 23 Feb 2026 - 7:40

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

Published on 23 Feb 2026 - 7:45

292

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Base-Exponent Invariants

Published on 09 Apr 2026 - 2:50

219

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Diophantine equation power of 7 and 2

Published on 23 Feb 2026 - 7:46

265

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Power values of polynomial

Published on 23 Feb 2026 - 7:40

86

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Are there any solutions to this nonlinear diophantine equation?

Published on 23 Feb 2026 - 7:43

143

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

Published on 09 Apr 2026 - 0:55

101

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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 23 Feb 2026 - 7:43

105

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

Published on 23 Feb 2026 - 7:44

76

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Minimizing a diophantine equation

Published on 23 Feb 2026 - 7:38

75

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Minimal value of a diophantine expression

Published on 23 Feb 2026 - 7:41

25

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Divisibility of sum of three powers times two powers

Published on 23 Feb 2026 - 7:45

75

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

Published on 23 Feb 2026 - 7:43

131

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

Published on 23 Feb 2026 - 7:46

433

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

Published on 23 Feb 2026 - 7:40

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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