List questions from diophantine-equations

Published on 17 Apr 2026 - 3:52

112

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How many solutions to prime = $(d^2-2ad+b^2-2ab+2a^2)(d^2-2cd+2c^2-2bc+b^2)$?

Published on 16 Apr 2026 - 20:18

437

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When is the complement of a diophantine set in the naturals also diophantine?

Published on 11 Apr 2026 - 19:04

266

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How many solutions to prime = $a^3+b^3+c^3 - 3abc$

Published on 14 Apr 2026 - 21:11

83

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How many solutions to prime = $2 b^2 c^2 + 2 c^2 a^2 + 2 a^2 b^2 - a^4 - b^4 - c^4$

Published on 16 Apr 2026 - 18:19

128

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Like Diophantine equation

Published on 11 Apr 2026 - 13:03

562

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Diophantine equations - Perfect square and Perfect cube related

Published on 15 Apr 2026 - 15:20

594

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Diophantine equation of second degree $x^2+y^2+z^2=2t^2$

Published on 14 Apr 2026 - 16:35

267

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$x^2+y^2=z^2(1+xy)$ prove $z=\min \{x;y;z\}$ (with $x,y,z \in \mathbb{Z^+}$)

Published on 15 Apr 2026 - 20:47

194

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Set of natural number solutions to $x^2+y^2=z^2$

Published on 16 Apr 2026 - 8:00

97

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Find $ k \in \mathbb{N}$ such that $x^3+y^3+z^3=kx^2y^2z^2$ have positive integer root

Published on 17 Apr 2026 - 8:14

675

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Non Linear Diophantine Equation in Three Variables

Published on 11 Apr 2026 - 7:51

143

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Solving system of equations with mixed variable types

Published on 14 Apr 2026 - 6:02

1.1k

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is there any number pattern in the sum of square of two nos. and cube of 2 nos.

Published on 14 Apr 2026 - 9:36

65

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Integer solution for $n_1 k_1 + n_2 k_2 + n_3 k_3 = 1$

Published on 12 Apr 2026 - 21:17

List Question

Find $a, b, c, d \in \mathbb{Z}$ such that $2^a=3^b5^c+7^d$

How many solutions to prime = $(d^2-2ad+b^2-2ab+2a^2)(d^2-2cd+2c^2-2bc+b^2)$?

When is the complement of a diophantine set in the naturals also diophantine?

How many solutions to prime = $a^3+b^3+c^3 - 3abc$

How many solutions to prime = $2 b^2 c^2 + 2 c^2 a^2 + 2 a^2 b^2 - a^4 - b^4 - c^4$

Like Diophantine equation

Diophantine equations - Perfect square and Perfect cube related

Diophantine equation of second degree $x^2+y^2+z^2=2t^2$

$x^2+y^2=z^2(1+xy)$ prove $z=\min \{x;y;z\}$ (with $x,y,z \in \mathbb{Z^+}$)

Set of natural number solutions to $x^2+y^2=z^2$

Find $ k \in \mathbb{N}$ such that $x^3+y^3+z^3=kx^2y^2z^2$ have positive integer root

Non Linear Diophantine Equation in Three Variables

Solving system of equations with mixed variable types

is there any number pattern in the sum of square of two nos. and cube of 2 nos.

Integer solution for $n_1 k_1 + n_2 k_2 + n_3 k_3 = 1$

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