New posts in diophantine-equations

Find $a,b,c \in \Bbb N$ such that $n^3+a^3=b^3+c^3$

number-theory diophantine-equations

Finding all solutions to $y^3 = x^2 + x + 1$ with $x,y$ integers larger than $1$

number-theory diophantine-equations

Prove that the diophantine equation $(xz+1)(yz+1)=az^{k}+1$ has infinitely many solutions in positive integers.

real-analysis elementary-number-theory diophantine-equations

How to find all solutions of the optic equation $\frac{1}a+\frac{1}b = \frac{1}c$

diophantine-equations

What integers can be represented by the quadratic form $4x^2 - 3y^2 - z^2$?

number-theory diophantine-equations quadratic-forms

diophantine equation $x^3+x^2-16=2^y$

elementary-number-theory contest-math diophantine-equations

No Integer Solutions and Congruences

elementary-number-theory diophantine-equations

Integer Solutions to $x^2+y^2=5z^2$

abstract-algebra diophantine-equations

Parametrization of a conic and rational solutions

algebraic-geometry diophantine-equations conic-sections

Is this elementary proof correct

elementary-number-theory solution-verification diophantine-equations

All solutions to $1/a+1/b=1/c$?

elementary-number-theory diophantine-equations conjectures

Are there finitely many Pythagorean triples whose smallest two numbers differ by 1?

number-theory diophantine-equations pythagorean-triples

All pairs (x,y) that satisfy the equation $xy+(x^3+y^3)/3=2007$

elementary-number-theory diophantine-equations

Methods for quartic diophantine equation

elementary-number-theory diophantine-equations

Does $a^2+b^2=1$ have infinitely many solutions for $a,b\in\mathbb{Q}$?

geometry arithmetic diophantine-equations

A quartic diophantine equation

number-theory diophantine-equations

How does modular arithmetic work - Fermat's last theorem near misses?

modular-arithmetic diophantine-equations

Can 720! be written as the difference of two positive integer powers of 3?

elementary-number-theory diophantine-equations exponentiation factorial

Parametrization of $x^2+ay^2=z^k$, where $\gcd(x,y,z)=1$

diophantine-equations quadratic-forms

There does not exist any integer $m$ such that $3n^2+3n+7=m^3$

arithmetic diophantine-equations