List questions from diophantine-equations

Published on 26 Mar 2026 - 2:57

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How many positive triples $(n,m,k)$ satisfy $n!+m!=2^k$

Published on 15 Apr 2026 - 14:29

581

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Solving the Diophantine Equation $ax^2 + bx + c = dy^2 + ey + f$?

Published on 14 Apr 2026 - 16:03

452

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For which primes $p$ are there integers $a,b,q$ so that $pq^2=a^4+4b^4$?

Published on 17 Apr 2026 - 14:50

169

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Diophantine Equation for Odd Numbers

Published on 09 Apr 2026 - 22:14

43

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Solution of :$a^{10}b+1 = n^2$ with ($a,b,n \in \mathbb{N}$)

Published on 15 Apr 2026 - 9:16

1.5k

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euler bricks: way to calculate them?

Published on 11 Apr 2026 - 17:36

128

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if $a_0^n+a_1^n+...+a_k^n=b_0^n+b_1^n+...+b_m^n$ then prove the following equality

Published on 17 Apr 2026 - 2:16

148

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How to prove there are no solutions for $5^{3+a} = 11^{2+b} + 4$ except $a=b=0$?

Published on 14 Apr 2026 - 14:16

88

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Proving an absence of rational and integer solutions.

Published on 12 Apr 2026 - 13:18

773

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Solve a Diophantine equation with three variables

Published on 11 Apr 2026 - 17:05

1.7k

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Prove the Mordell's equation $x^2+41=y^3$ has no integer solutions

Published on 11 May 2017 - 15:47

381

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Find all primes such that $a^2+b^2=9ab-13$.

Published on 16 Apr 2026 - 11:51

134

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$\sqrt{x^2-x+1}+\sqrt{y^2-y+1}=\sqrt{x^2+xy+y^2}$

Published on 16 Apr 2026 - 19:15

252

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Cuboid nearest to a cube

Published on 14 Apr 2026 - 1:51

List Question

Number of solutions of the diophantine equation $x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = 14$

How many positive triples $(n,m,k)$ satisfy $n!+m!=2^k$

Solving the Diophantine Equation $ax^2 + bx + c = dy^2 + ey + f$?

For which primes $p$ are there integers $a,b,q$ so that $pq^2=a^4+4b^4$?

Diophantine Equation for Odd Numbers

Solution of :$a^{10}b+1 = n^2$ with ($a,b,n \in \mathbb{N}$)

euler bricks: way to calculate them?

if $a_0^n+a_1^n+...+a_k^n=b_0^n+b_1^n+...+b_m^n$ then prove the following equality

How to prove there are no solutions for $5^{3+a} = 11^{2+b} + 4$ except $a=b=0$?

Proving an absence of rational and integer solutions.

Solve a Diophantine equation with three variables

Prove the Mordell's equation $x^2+41=y^3$ has no integer solutions

Find all primes such that $a^2+b^2=9ab-13$.

$\sqrt{x^2-x+1}+\sqrt{y^2-y+1}=\sqrt{x^2+xy+y^2}$

Cuboid nearest to a cube

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