List questions from diophantine-equations

Published on 28 Mar 2026 - 5:20

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When is the norm of a ring $\Bbb Z[\sqrt{-p}]$ multiplicative?

Published on 25 Mar 2026 - 16:46

76

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Palindromic representation in base $x$ and Integer factoring

Published on 24 Mar 2026 - 22:31

42

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Resource request on algebraic number theory

Published on 17 Jun 2023 - 19:23

38

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Square terms in an AP

Published on 28 Mar 2026 - 6:40

52

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solving a Diophantine like equation

Published on 29 Jun 2023 - 8:09

252

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Is $1+{n\choose 2}+{n\choose 4}$ ever a power of two except for $n=1,2,3,4,5,10$?

Published on 02 Jul 2023 - 11:04

75

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Are there any non-trivial solutions of $a^n = b^m + 1$ for natural $a$, $b$ and $n, m \ge 2$

Published on 05 Apr 2026 - 16:42

215

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System of Pell's equations

Published on 05 Jul 2023 - 12:19

73

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Yet another question on the number of solutions of a Diophantine equation of Frobenius

Published on 06 Jul 2023 - 22:43

185

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Generalization of the Brahmagupta identity

Published on 07 Jul 2023 - 14:36

95

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$(x^3+1)\cdot (y\cdot z^2+1)=43\cdot w$

Published on 09 Jul 2023 - 10:11

215

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Find all positive integers n < 200, such that $n^2$ + $(n + 1)^2$ is a perfect square

Published on 09 Jul 2023 - 15:22

76

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Positive Integer solutions for $(x-y)^2 = \frac{4xy}{x+y-1}$

Published on 09 Jul 2023 - 18:16

267

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A certain conjectured criterion for restricted partitions

Published on 25 Mar 2026 - 10:58

List Question

Do eight-square representations have patterns like four-square representations?

When is the norm of a ring $\Bbb Z[\sqrt{-p}]$ multiplicative?

Palindromic representation in base $x$ and Integer factoring

Resource request on algebraic number theory

Square terms in an AP

solving a Diophantine like equation

Is $1+{n\choose 2}+{n\choose 4}$ ever a power of two except for $n=1,2,3,4,5,10$?

Are there any non-trivial solutions of $a^n = b^m + 1$ for natural $a$, $b$ and $n, m \ge 2$

System of Pell's equations

Yet another question on the number of solutions of a Diophantine equation of Frobenius

Generalization of the Brahmagupta identity

$(x^3+1)\cdot (y\cdot z^2+1)=43\cdot w$

Find all positive integers n < 200, such that $n^2$ + $(n + 1)^2$ is a perfect square

Positive Integer solutions for $(x-y)^2 = \frac{4xy}{x+y-1}$

A certain conjectured criterion for restricted partitions

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