New posts in diophantine-equations

If $a$ and $b$ are positive integers such that $a^n+n\mid b^n + n$ for all positive integers $n$, prove that $a=b$.

elementary-number-theory diophantine-equations

Show that $x^2+y^2+z^2=999$ has no integer solutions

abstract-algebra elementary-number-theory diophantine-equations square-numbers sums-of-squares

On Pythagorean Triplets

elementary-number-theory diophantine-equations

Riemann hypothesis and diophantine equation

diophantine-equations riemann-hypothesis

Generating integers from a linear combination of integers

number-theory diophantine-equations

Is there any methods to solve for integer solution of a quadratic equation like $ax^2 + bx + c = 0$

quadratics diophantine-equations

For how many positive integers $m$ the number $m^3+5m^2+3$ is a perfect cube?

number-theory elementary-number-theory polynomials diophantine-equations

Solutions to $a,\ b,\ c,\ \frac{a}{b}+\frac{b}{c}+\frac{c}{a},\ \frac{b}{a} + \frac{c}{b} + \frac{a}{c} \in \mathbb{Z}$

elementary-number-theory divisibility diophantine-equations recreational-mathematics problem-solving

Three variable, second-degree symmetric Diophantine equation

number-theory elementary-number-theory computer-science diophantine-equations

Solve $\lfloor \sqrt x +\sqrt{x+1}+\sqrt{x+2}\rfloor=x$

algebra-precalculus diophantine-equations alternative-proof ceiling-and-floor-functions

For how many values of x, this expression is an integer?

elementary-number-theory diophantine-equations

Does the equation $a^{2} + b^{7} + c^{13} + d^{14} = e^{15}$ have a solution in positive integers

number-theory diophantine-equations

Correct statement of Fermat's Last Theorem

number-theory diophantine-equations

Can it be shown, $n^4+(n+d)^4+(n+2d)^4\ne z^4$?

number-theory elementary-number-theory diophantine-equations

An elliptic curve $x(x - 78126^2)(x - 4\times5^7) = y^2$ for $x_1^7+x_2^7+\dots +x_8^7= x_9^7$

diophantine-equations elliptic-curves magma-cas

How to solve $y^2=3x^4+3x^2+1$ for integers.

number-theory polynomials diophantine-equations

Solving $(n+1)(n+2)…(n+k)−k = x^2$

number-theory diophantine-equations

Ramanujan-Nagell Theorem Proof Question

algebraic-number-theory diophantine-equations

Solve the Diophantine equation $a^2(2^a-a^3)+1=7^b$.

number-theory diophantine-equations

integer solutions of $a^3 + b^2 = 100000$

elementary-number-theory diophantine-equations