Question

method for finding integral points outside of a polynomial?

score 119 · Answer 1 · 2026-04-10 23:32:29

119

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method for finding integral points outside of a polynomial?

Published on 10 Apr 2026 - 23:32

score 426 · Answer 2 · 2026-04-16 18:08:43

426

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Squares of the form $x^2+y^2+xy$

Published on 16 Apr 2026 - 18:08

score 2.8k · Answer 3 · 2026-04-16 04:56:51

2.8k

Views

Decomposing polynomials with integer coefficients

Published on 16 Apr 2026 - 4:56

score 187 · Answer 4 · 2026-04-10 22:44:51

187

Views

Pythagorian quadruples

Published on 10 Apr 2026 - 22:44

score 919 · Answer 5 · 2026-04-15 04:23:09

919

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$(x^n-x^m)a=(ax^m-4)y^2$ in positive integers

Published on 15 Apr 2026 - 4:23

score 275 · Answer 6 · 2026-04-14 19:57:13

275

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How many natural numbers $x, y$ are possible if $(x - y)^2 = \frac{4xy}{(x + y - 1)}$.

Published on 14 Apr 2026 - 19:57

score 2.4k · Answer 7 · 2026-04-13 23:49:31

2.4k

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$n = a^2 + b^2 = c^2 + d^2$. What are the properties of a, b, c and d?

Published on 13 Apr 2026 - 23:49

score 135 · Answer 8 · 2026-04-11 22:25:32

135

Views

Integers that are a sum of two $k$th powers in $n$ different ways

Published on 11 Apr 2026 - 22:25

score 4k · Answer 9 · 2026-04-14 06:16:48

4k

Views

How to solve this Pell's equation $x^{2} - 991y^{2} = 1 $

Published on 14 Apr 2026 - 6:16

score 378 · Answer 10 · 2026-04-15 17:43:26

378

Views

show that $x^2+y^2=z^5+z$ Has infinitely many relatively prime integral solutions

Published on 15 Apr 2026 - 17:43

score 5.4k · Answer 11 · 2026-04-16 09:10:50

5.4k

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prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$

Published on 16 Apr 2026 - 9:10

score 2.4k · Answer 12 · 2026-04-16 06:44:49

2.4k

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Show that the curve $y^2 = x^3 + 2x^2$ has a double point, and find all rational points

Published on 16 Apr 2026 - 6:44

score 121 · Answer 13 · 2026-04-11 20:57:29

121

Views

Still another diophantine equation

Published on 11 Apr 2026 - 20:57

score 279 · Answer 14 · 2026-04-10 04:11:52

279

Views

Solutions of exponential diophantine equation

Published on 10 Apr 2026 - 4:11

score 180 · Answer 15 · 2026-04-16 19:10:55

180

Views

Find the integer solution of $ a^b = 2^{2 c + 1} + 2^c + 1 $

Published on 16 Apr 2026 - 19:10

List Question

method for finding integral points outside of a polynomial?

Squares of the form $x^2+y^2+xy$

Decomposing polynomials with integer coefficients

Pythagorian quadruples

$(x^n-x^m)a=(ax^m-4)y^2$ in positive integers

How many natural numbers $x, y$ are possible if $(x - y)^2 = \frac{4xy}{(x + y - 1)}$.

$n = a^2 + b^2 = c^2 + d^2$. What are the properties of a, b, c and d?

Integers that are a sum of two $k$th powers in $n$ different ways

How to solve this Pell's equation $x^{2} - 991y^{2} = 1 $

show that $x^2+y^2=z^5+z$ Has infinitely many relatively prime integral solutions

prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$

Show that the curve $y^2 = x^3 + 2x^2$ has a double point, and find all rational points

Still another diophantine equation

Solutions of exponential diophantine equation

Find the integer solution of $ a^b = 2^{2 c + 1} + 2^c + 1 $

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