Question

For which integers values of $r,s,t$ does this expression equal a square number?

score 112 · Answer 1 · 2017-01-20 15:16:36

112

Views

For which integers values of $r,s,t$ does this expression equal a square number?

Published on 20 Jan 2017 - 15:16

score 226 · Answer 2 · 2026-04-01 09:50:14

226

Views

Find solution in integers of $x^3+x-y^2=1$

Published on 01 Apr 2026 - 9:50

score 3k · Answer 3 · 2017-01-22 19:09:02

3k

Views

Is this a valid way to prove, that $a^2 + b^2 \neq 3c^2$ for all integers $a, b, c$ ? (except the trivial case)

Published on 22 Jan 2017 - 19:09

score 254 · Answer 4 · 2017-01-23 17:40:26

254

Views

Prove that if $x^6+(x^2+y)^3$ is a perfect square, then $y$ is a multiple of $x^2$

Published on 23 Jan 2017 - 17:40

score 60 · Answer 5 · 2026-04-03 04:53:55

60

Views

Index satisfying tuples lexicographically for integers $0<a<b<c$ with rational $\sqrt{\frac{c-a}{c+b}},\sqrt{\frac{c+a}{c-b}}$?

Published on 03 Apr 2026 - 4:53

score 538 · Answer 6 · 2017-01-24 07:47:35

538

Views

Does the equation $x^3+y^3+2z^3=0$ have any non-trivial pairwise co-prime integer solutions?

Published on 24 Jan 2017 - 7:47

score 114 · Answer 7 · 2017-01-24 19:22:47

114

Views

Find integer solution of a system of equations

Published on 24 Jan 2017 - 19:22

score 155 · Answer 8 · 2026-04-01 05:44:27

155

Views

solving a strange Diophantine equation ${\sqrt{n}}^\sqrt{n} -11 =m!^2$

Published on 01 Apr 2026 - 5:44

score 453 · Answer 9 · 2017-01-25 14:52:11

453

Views

How to solve $xy=5x+5y$ for integer solutions

Published on 25 Jan 2017 - 14:52

score 147 · Answer 10 · 2026-04-03 04:49:38

147

Views

Solving $2$ Variable Diophantine Equation in Rational Numbers

Published on 03 Apr 2026 - 4:49

score 2.2k · Answer 11 · 2026-03-28 00:06:01

2.2k

Views

Show that $x^2+y^2+z^2=999$ has no integer solutions

Published on 28 Mar 2026 - 0:06

score 120 · Answer 12 · 2017-01-26 12:10:53

120

Views

The diophantine equation $a^{a+2b}=b^{b+2a}$

Published on 26 Jan 2017 - 12:10

score 1.6k · Answer 13 · 2017-01-27 21:22:37

1.6k

Views

Find all prime solutions of equation $5x^2-7x+1=y^2.$

Published on 27 Jan 2017 - 21:22

score 158 · Answer 14 · 2026-03-30 08:37:34

158

Views

Find $x$ positive integer such that $x^4+x^3+x^2+x+1$ is a perfect square

Published on 30 Mar 2026 - 8:37

score 56 · Answer 15 · 2017-01-29 01:48:45

56

Views

$u^3+v^3+3^{5}w^3=2\cdot3^{2}uvw$ has no non- trivial solutions if $u,v,w$ are pairwise co-prime.

Published on 29 Jan 2017 - 1:48

List Question

For which integers values of $r,s,t$ does this expression equal a square number?

Find solution in integers of $x^3+x-y^2=1$

Is this a valid way to prove, that $a^2 + b^2 \neq 3c^2$ for all integers $a, b, c$ ? (except the trivial case)

Prove that if $x^6+(x^2+y)^3$ is a perfect square, then $y$ is a multiple of $x^2$

Index satisfying tuples lexicographically for integers $0<a<b<c$ with rational $\sqrt{\frac{c-a}{c+b}},\sqrt{\frac{c+a}{c-b}}$?

Does the equation $x^3+y^3+2z^3=0$ have any non-trivial pairwise co-prime integer solutions?

Find integer solution of a system of equations

solving a strange Diophantine equation ${\sqrt{n}}^\sqrt{n} -11 =m!^2$

How to solve $xy=5x+5y$ for integer solutions

Solving $2$ Variable Diophantine Equation in Rational Numbers

Show that $x^2+y^2+z^2=999$ has no integer solutions

The diophantine equation $a^{a+2b}=b^{b+2a}$

Find all prime solutions of equation $5x^2-7x+1=y^2.$

Find $x$ positive integer such that $x^4+x^3+x^2+x+1$ is a perfect square

$u^3+v^3+3^{5}w^3=2\cdot3^{2}uvw$ has no non- trivial solutions if $u,v,w$ are pairwise co-prime.

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