List questions from diophantine-equations

Published on 07 Mar 2016 - 6:42

219

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If $\frac1x-\frac1y=\frac1z$, $d=\gcd(x,y,z)$ then $dxyz$ and $d(y-x)$ are squares

Published on 01 Apr 2026 - 8:06

92

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$N=(x^2-1)(y^2-1)$ has more than one solution

Published on 07 Mar 2016 - 13:39

117

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Reformulating diophantine inequalities

Published on 11 Apr 2026 - 18:07

722

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Consecutive smooth triplets

Published on 11 Apr 2026 - 3:33

484

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Find integers $(w, x, y, z)$ such that the product of each two of them minus 1 is square.

Published on 08 Mar 2016 - 16:52

123

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proof - $(x,y) = (4,6)$ is the only solution for $x^3 + x^2 - 16 = 2^y$

Published on 09 Mar 2016 - 12:55

273

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Solutions to simultaneous Diophantine equations $2y^2-3x^2=-1$ and $z^2-2y^2= -1$

Published on 09 Mar 2016 - 19:54

237

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Solve in positive integers the equation $a^3+b^3=9ab$

Published on 11 Apr 2026 - 6:33

71

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A farmer bought some chickens and cows from a local rancher...

Published on 25 Mar 2026 - 22:11

111

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How to solve $p^n+12^2=m^2$

Published on 10 Mar 2016 - 22:28

48

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Problem about Diophantine's equation and congruences

Published on 10 Apr 2026 - 9:29

366

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Hyperbolic Diophantine Equations: Application of Euclidean Algorithm?

Published on 28 Mar 2026 - 7:57

65

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Representations of some primes as $x^2-2y^2$?

Published on 26 Mar 2026 - 18:41

582

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On equations $m^2+1=5^n$

Published on 12 Apr 2026 - 8:19

List Question

Find minimum of the $n$ such $x+11y+11z=n$ has $16653$ triples of postive integers solution

If $\frac1x-\frac1y=\frac1z$, $d=\gcd(x,y,z)$ then $dxyz$ and $d(y-x)$ are squares

$N=(x^2-1)(y^2-1)$ has more than one solution

Reformulating diophantine inequalities

Consecutive smooth triplets

Find integers $(w, x, y, z)$ such that the product of each two of them minus 1 is square.

proof - $(x,y) = (4,6)$ is the only solution for $x^3 + x^2 - 16 = 2^y$

Solutions to simultaneous Diophantine equations $2y^2-3x^2=-1$ and $z^2-2y^2= -1$

Solve in positive integers the equation $a^3+b^3=9ab$

A farmer bought some chickens and cows from a local rancher...

How to solve $p^n+12^2=m^2$

Problem about Diophantine's equation and congruences

Hyperbolic Diophantine Equations: Application of Euclidean Algorithm?

Representations of some primes as $x^2-2y^2$?

On equations $m^2+1=5^n$

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