Question

Find the number of drinking people (problem from 1544)

score 191 · Answer 1 · 2026-04-03 20:14:16

191

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Find the number of drinking people (problem from 1544)

Published on 03 Apr 2026 - 20:14

score 200 · Answer 2 · 2026-04-13 01:51:40

200

Views

A discussion about exponential diophantine equations and pythagorean triples

Published on 13 Apr 2026 - 1:51

score 693 · Answer 3 · 2026-04-13 01:49:36

693

Views

Number of integer solutions of $a^2+b^2=10c^2$

Published on 13 Apr 2026 - 1:49

score 74 · Answer 4 · 2026-04-15 13:13:24

How to prove if $xy$ is a cube, $\gcd(x,y)=3$ and $3$ divides $y$ only once, then $3x=r^3$ and $3^2y=s^3$ for some integers $r,s$?

score 595 · Answer 5 · 2026-04-14 12:41:57

595

Views

Determine all natural number $x, y, z$ for which the equation $4x^2+45y^2+9z^2-12xy-36yz=25$ is valid and where the $x<y<z.$

Published on 14 Apr 2026 - 12:41

score 177 · Answer 6 · 2026-04-09 01:49:10

177

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Is it possible to solve for n unknowns from one equation?

Published on 09 Apr 2026 - 1:49

score 235 · Answer 7 · 2026-04-13 19:36:08

235

Views

Why does the equation $a^4+3b^4=c^4+3d^4$ have solutions in such small integers?

Published on 13 Apr 2026 - 19:36

score 110 · Answer 8 · 2026-04-16 22:01:11

110

Views

Distinct positive integers $x_1,x_2,x_3,x_4$ that satisfy $4x_1^2=x_2^2+2x_3^2+x_4^2.$

Published on 16 Apr 2026 - 22:01

score 281 · Answer 9 · 2026-04-16 15:48:05

281

Views

$5^x - y^2 = 4$ Diophantine Equation

Published on 16 Apr 2026 - 15:48

score 132 · Answer 10 · 2026-04-15 22:54:34

132

Views

Reference Request: Quadratic Bivariate Diophantine Equations

Published on 15 Apr 2026 - 22:54

score 79 · Answer 11 · 2026-04-11 10:37:55

79

Views

For which $a,b,c$ is the diophantine quadratic equation $ax^2+bx+c=y^2$ soluble?

Published on 11 Apr 2026 - 10:37

score 239 · Answer 12 · 2026-04-09 23:33:21

239

Views

An equation has infinitely many positive integers solutions

Published on 09 Apr 2026 - 23:33

score 591 · Answer 13 · 2026-04-17 10:34:41

591

Views

Solving $X^2-6Y^2=Z^3$ in positive integers

Published on 17 Apr 2026 - 10:34

score 212 · Answer 14 · 2026-04-16 08:36:38

212

Views

Integer solution of $abc=a+b+c+2$.

Published on 16 Apr 2026 - 8:36

score 220 · Answer 15 · 2026-04-15 20:27:13

220

Views

Prove that there are infinitely many triples $(,,)$ of integers such that $a^2+b^2+c^2=a^3+b^3+c^3$

Published on 15 Apr 2026 - 20:27

List Question

Find the number of drinking people (problem from 1544)

A discussion about exponential diophantine equations and pythagorean triples

Number of integer solutions of $a^2+b^2=10c^2$

How to prove if $xy$ is a cube, $\gcd(x,y)=3$ and $3$ divides $y$ only once, then $3x=r^3$ and $3^2y=s^3$ for some integers $r,s$?

Determine all natural number $x, y, z$ for which the equation $4x^2+45y^2+9z^2-12xy-36yz=25$ is valid and where the $x<y<z.$

Is it possible to solve for n unknowns from one equation?

Why does the equation $a^4+3b^4=c^4+3d^4$ have solutions in such small integers?

Distinct positive integers $x_1,x_2,x_3,x_4$ that satisfy $4x_1^2=x_2^2+2x_3^2+x_4^2.$

$5^x - y^2 = 4$ Diophantine Equation

Reference Request: Quadratic Bivariate Diophantine Equations

For which $a,b,c$ is the diophantine quadratic equation $ax^2+bx+c=y^2$ soluble?

An equation has infinitely many positive integers solutions

Solving $X^2-6Y^2=Z^3$ in positive integers

Integer solution of $abc=a+b+c+2$.

Prove that there are infinitely many triples $(,,)$ of integers such that $a^2+b^2+c^2=a^3+b^3+c^3$

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