List questions from diophantine-equations

Published on 28 Apr 2026 - 9:55

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Solutions in $\mathbb{Z}$ for $x + y = xy$ : Proof by infinite descent

Published on 10 May 2026 - 20:37

177

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The equation with integer solution: $x^4+x-y^4+y=2x^2y^2(x^4-y^4+1)^3$

Published on 16 Apr 2026 - 10:48

249

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Could all those line segment be integers?

Published on 15 Apr 2026 - 16:46

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$a^2 + b^2 = c^2$, $ab = 6d^2$, $(a,b) = 1$ has no solutions $(a,b,c,d) \in \mathbb N^4$

Published on 16 Apr 2026 - 5:22

91

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Are there fractional solutions for Pell-Fermat equations?

Published on 11 Apr 2026 - 14:49

78

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solve diophantine equation $a+b+2ab=n$

Published on 14 Apr 2026 - 3:03

125

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Integer solution of $a^2+b^2=c^2+d^2$ that relates $a,b,c$, and $d$ explicitly.

Published on 16 Apr 2026 - 11:59

78

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Representation of integers by inhomogeneous binary quadratic form

Published on 14 Apr 2026 - 1:43

102

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quadratic Diophantine system of equations: $A=b^2-ac$,$B=ad-bc$,$C=c^2-bd$.

Published on 17 Apr 2026 - 13:49

112

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single quadratic diphontine equation with 4 unknowns, all solutions?

Published on 09 Apr 2026 - 22:57

128

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Prove that $p^2+q^2=r^2+s^2+t^2$ doesn't have a solution in prime numbers.

Published on 17 Apr 2026 - 0:32

129

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How do you find all the answers to this Diophantus equation: $462x + 273y = 63$?

Published on 13 Apr 2026 - 1:40

703

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Potential solution to Sloane's "Powers of 2" problem?

Published on 17 Apr 2026 - 14:30

132

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Germain Primes and Solutions of $x^p+ y^p+ z^p =0$

Published on 15 Apr 2026 - 10:24

List Question

Diophantine plane $ax + by + cz = 0$ with $\gcd(a,b)=\gcd(y,z)=1$.

Solutions in $\mathbb{Z}$ for $x + y = xy$ : Proof by infinite descent

The equation with integer solution: $x^4+x-y^4+y=2x^2y^2(x^4-y^4+1)^3$

Could all those line segment be integers?

$a^2 + b^2 = c^2$, $ab = 6d^2$, $(a,b) = 1$ has no solutions $(a,b,c,d) \in \mathbb N^4$

Are there fractional solutions for Pell-Fermat equations?

solve diophantine equation $a+b+2ab=n$

Integer solution of $a^2+b^2=c^2+d^2$ that relates $a,b,c$, and $d$ explicitly.

Representation of integers by inhomogeneous binary quadratic form

quadratic Diophantine system of equations: $A=b^2-ac$,$B=ad-bc$,$C=c^2-bd$.

single quadratic diphontine equation with 4 unknowns, all solutions?

Prove that $p^2+q^2=r^2+s^2+t^2$ doesn't have a solution in prime numbers.

How do you find all the answers to this Diophantus equation: $462x + 273y = 63$?

Potential solution to Sloane's "Powers of 2" problem?

Germain Primes and Solutions of $x^p+ y^p+ z^p =0$

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