List questions from diophantine-equations

Published on 15 Mar 2018 - 9:23

81

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$a+b+c=?$ by having $a^2+160=b^2+5$ and $a^2+320=c^2+5$

Published on 25 Mar 2026 - 8:02

113

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Non trivial solutions for the diophantine $X^2Y+XY^2+XYZ-Z^3=0$

Published on 25 Mar 2026 - 4:42

574

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Solve $abc+bcd+cda+dab=abcd+3$ in $\mathbb{N}$.

Published on 19 Mar 2018 - 15:37

89

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Number of solutions of "n-Pythagorean" equation $x_0^n = x_1^n + \dots + x_n^n$

Published on 19 Mar 2018 - 17:24

303

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Is $x^5+x+5=y^2$ solvable over the integers?

Published on 20 Mar 2018 - 16:26

322

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Markov triples that survive Euler's totient function

Published on 25 Mar 2026 - 2:57

132

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Finding integer values of $n$

Published on 22 Mar 2018 - 11:58

58

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For which positive integers $k$ dividing $4p^3$, does the equation $x^3+px=k^2$ has an integer solution in $x$?

Published on 25 Mar 2026 - 11:32

120

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Solving an equation in $\mathbb N$

Published on 25 Mar 2018 - 22:53

33

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Solving modular Diophantine

Published on 25 Mar 2026 - 9:22

106

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Natural answers of $(n-1)(n)(n+1)+1=x^2$

Published on 26 Mar 2018 - 21:56

84

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Solve in integers $y^3-1=x^4+x^2$

Published on 24 Mar 2026 - 22:01

88

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Can $7n + 13$ ever equal a square?

Published on 28 Mar 2018 - 17:36

234

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Given finite field projections of a rational, can I find the original rational?

Published on 25 Mar 2026 - 7:45

List Question

How can Falting's theorem be used to decide whether infinite many rational solutions exist?

$a+b+c=?$ by having $a^2+160=b^2+5$ and $a^2+320=c^2+5$

Non trivial solutions for the diophantine $X^2Y+XY^2+XYZ-Z^3=0$

Solve $abc+bcd+cda+dab=abcd+3$ in $\mathbb{N}$.

Number of solutions of "n-Pythagorean" equation $x_0^n = x_1^n + \dots + x_n^n$

Is $x^5+x+5=y^2$ solvable over the integers?

Markov triples that survive Euler's totient function

Finding integer values of $n$

For which positive integers $k$ dividing $4p^3$, does the equation $x^3+px=k^2$ has an integer solution in $x$?

Solving an equation in $\mathbb N$

Solving modular Diophantine

Natural answers of $(n-1)(n)(n+1)+1=x^2$

Solve in integers $y^3-1=x^4+x^2$

Can $7n + 13$ ever equal a square?

Given finite field projections of a rational, can I find the original rational?

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