List questions from diophantine-equations

Published on 25 Mar 2026 - 22:08

313

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The Archimedes Cattle Problem and how to find $x^2-dp^2y^2=1$?

Published on 08 Jan 2016 - 5:41

270

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Find all solutions to the diophantine equation $(x+2)(y+2)(z+2)=(x+y+z+2)^2$

Published on 08 Jan 2016 - 12:34

70

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Does every linear integer polynomial give a square at some integer?

Published on 28 Mar 2026 - 19:30

83

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Rational points on $4x^5 + y^2 = z^2$

Published on 09 Jan 2016 - 22:06

391

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Euler`s Theorem and Diophantine Equations

Published on 29 Mar 2026 - 16:01

202

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Multiples that are one less than Squares

Published on 10 Jan 2016 - 23:52

187

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Prove that $(a-b)^n\mid (a^n-b^n) \iff n=1$ under given conditions

Published on 07 Apr 2026 - 15:40

22

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Proof that $x^2 + D = AB^y$ has in every case of $D,A,B$ a finite amount of solutions $x,y$

Published on 11 Jan 2016 - 20:40

41

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A diophantine related query

Published on 11 Jan 2016 - 21:26

78

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Solving a Diophantine Equation with 2 variables

Published on 11 Apr 2026 - 19:40

151

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Find the diophantine equation $x^2(y^2-1)=z^2-1$ solution

Published on 12 Jan 2016 - 15:46

127

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Is it true that for every $k\in\mathbb N$ , there exist infinitely many $n \in \mathbb N$ such that $kn+1 , (k+1)n+1$ both are perfect squares ?

Published on 29 Mar 2026 - 4:44

97

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On the genus of a curve and its set of rational points.

Published on 13 Jan 2016 - 17:03

473

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Pell equations upper bound

Published on 13 Jan 2016 - 23:13

List Question

Show relations are Diophantine

The Archimedes Cattle Problem and how to find $x^2-dp^2y^2=1$?

Find all solutions to the diophantine equation $(x+2)(y+2)(z+2)=(x+y+z+2)^2$

Does every linear integer polynomial give a square at some integer?

Rational points on $4x^5 + y^2 = z^2$

Euler`s Theorem and Diophantine Equations

Multiples that are one less than Squares

Prove that $(a-b)^n\mid (a^n-b^n) \iff n=1$ under given conditions

Proof that $x^2 + D = AB^y$ has in every case of $D,A,B$ a finite amount of solutions $x,y$

A diophantine related query

Solving a Diophantine Equation with 2 variables

Find the diophantine equation $x^2(y^2-1)=z^2-1$ solution

Is it true that for every $k\in\mathbb N$ , there exist infinitely many $n \in \mathbb N$ such that $kn+1 , (k+1)n+1$ both are perfect squares ?

On the genus of a curve and its set of rational points.

Pell equations upper bound

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