New posts in diophantine-equations

Most even numbers is a sum $a+b+c+d$ where $a^2+b^2+c^2=d^2$

elementary-number-theory diophantine-equations computational-mathematics conjectures sums-of-squares

Determining the number $N$

algebra-precalculus number-theory diophantine-equations

Integer points on a hyperbola

diophantine-equations vieta-jumping

Find all positive integers $n$ for which $1372n^4 - 3 $ is an odd perfect square.

number-theory elementary-number-theory diophantine-equations square-numbers perfect-powers

Solving: $3^m-2=n^2$

number-theory proof-verification diophantine-equations

Solve $y^2= x^3 − 33$ in integers

number-theory elementary-number-theory diophantine-equations

Find all positive integers $a, b, c$ such that $21^a+ 28^b= 35^c$ .

algebra-precalculus diophantine-equations exponential-sum perfect-powers

How to find all integers $a,b > 1$ satisfying $b \mid a^2+1$ and $a^2 \mid b^3+1$?

elementary-number-theory diophantine-equations

Find all $a,b,c\in\mathbb{Z}_{\neq0}$ with $\frac ab+\frac bc=\frac ca$

diophantine-equations fractions integers

Integer solutions of $x^2+5y^2=231^2$

number-theory algebraic-number-theory diophantine-equations

Simple Method of Solution of $X^p+Y^p=(X+1)^p$

number-theory diophantine-equations

Prove that: $x^2+y^2+z^2=2xyz$ has no answer over $\Bbb{N}$ [duplicate]

elementary-number-theory diophantine-equations

Find all $x,y,z$ such that $x^2 + y^2 + z^2 = 3^{10}$

elementary-number-theory diophantine-equations p-adic-number-theory sums-of-squares

Find all prime solutions of equation $5x^2-7x+1=y^2.$

elementary-number-theory diophantine-equations

General method for determining if $Ax^2 + Bx + C$ is square

diophantine-equations quadratics square-numbers

Diophantine equation $7b^2+7b+7=a^4$.

number-theory diophantine-equations

Solve $ \binom{a}{2} + \binom{b}{2} = \binom{c}{2} $ with $a,b,c \in \mathbb{Z}$

number-theory diophantine-equations quadratic-forms pythagorean-triples

On products of ternary quadratic forms $\prod_{i=1}^3 (ax_i^2+by_i^2+cz_i^2) = ax_0^2+by_0^2+cz_0^2$

number-theory algebraic-number-theory diophantine-equations quadratic-forms

Number theory: $x^y + 1 = y^x$

number-theory diophantine-equations exponentiation

The Diophantine equation $x_1^6+x_2^6+x_3^6=z^2$ where exactly one $(x_i)\equiv 0{\pmod 7}$.

diophantine-equations