List questions from diophantine-equations

784

Views

Determine all natural numbers which when divided by 17 leave the remainder 3 and when divided by 6 leave the remainder 1

Published on 27 Mar 2026 - 5:42

721

Views

Find all positive solutions such that $n^2 + 9n +1$ is a perfect square

Published on 30 Mar 2026 - 3:23

556

Views

Pell's equation $x^2-dy^2=4$

Published on 16 Oct 2016 - 14:50

52

Views

$2^n+3^n= m^k$ imply $k=1$

Published on 16 Oct 2016 - 18:44

304

Views

When will a parametric solution exist for a Diophantine equation?

Published on 20 Oct 2016 - 1:25

147

Views

Find the number of nonnegative solutions to the equation 6x+8y=500 using combinatorics.

Published on 20 Oct 2016 - 3:31

97

Views

Solutions of $y^2=x^{2n+1}-3(4^{2n})$?

Published on 01 Apr 2026 - 0:24

310

Views

Does a solution exist to Diophantine Equation?

Published on 21 Oct 2016 - 5:42

304

Views

Quartic Pell's equation - solving

Published on 23 Oct 2016 - 8:51

229

Views

Integers which are writable as a special type of sums and differences of square numbers

Published on 24 Oct 2016 - 5:46

70

Views

Characterize $n$ for which $\frac{x^n+y^n+(-x-y)^n}{2}$ is automatically a square integer

Published on 24 Oct 2016 - 19:57

191

Views

How to check Diophantine equation modulo prime divisors

Published on 25 Oct 2016 - 6:10

1.4k

Views

The sum of two integers is a square. The sum of their squares is also a square.

Published on 27 Mar 2026 - 21:03

171

Views

Solutions to $a(m^2-a^2)=b(m^2-b^2)$

Published on 27 Mar 2026 - 20:54

242

Views

Characterization of primes dividing $(x+y)(x+z)(y+z)$ in a [hypothetical] counterexample to Fermat's Last Theorem

Published on 29 Oct 2016 - 1:06

List Question

Determine all natural numbers which when divided by 17 leave the remainder 3 and when divided by 6 leave the remainder 1

Find all positive solutions such that $n^2 + 9n +1$ is a perfect square

Pell's equation $x^2-dy^2=4$

$2^n+3^n= m^k$ imply $k=1$

When will a parametric solution exist for a Diophantine equation?

Find the number of nonnegative solutions to the equation 6x+8y=500 using combinatorics.

Solutions of $y^2=x^{2n+1}-3(4^{2n})$?

Does a solution exist to Diophantine Equation?

Quartic Pell's equation - solving

Integers which are writable as a special type of sums and differences of square numbers

Characterize $n$ for which $\frac{x^n+y^n+(-x-y)^n}{2}$ is automatically a square integer

How to check Diophantine equation modulo prime divisors

The sum of two integers is a square. The sum of their squares is also a square.

Solutions to $a(m^2-a^2)=b(m^2-b^2)$

Characterization of primes dividing $(x+y)(x+z)(y+z)$ in a [hypothetical] counterexample to Fermat's Last Theorem

Trending Questions

Popular # Hahtags

Popular Questions