Bogdan Grechuk's user avatar
Bogdan Grechuk's user avatar
Bogdan Grechuk's user avatar
Bogdan Grechuk
  • Member for 8 years
  • Last seen this week
34 votes
Accepted

Can $9xy$ divide $1+x^2+x^3+y^2$?

31 votes

Can you solve the listed smallest open Diophantine equations?

25 votes

Breakthroughs in mathematics in 2021

19 votes

Most important results in 2022

17 votes

Breakthroughs in mathematics in 2023

14 votes
Accepted

How to describe all integer solutions to $x^2+y^2=3z^2+1$?

12 votes

Proposals for polymath projects

10 votes

Which types of Diophantine equations are solvable?

8 votes

What is the smallest unsolved Diophantine equation?

4 votes

Can you solve the listed smallest open Diophantine equations?

4 votes

Diophantine equation with no integer solutions, but with solutions modulo every integer

3 votes

$x^3+x^2y^2+y^3=7$, and solvable families of Diophantine equations

2 votes

Is there an algorithm to solve quadratic Diophantine equations?

2 votes

List of recently solved mathematical problems

2 votes

On the Diophantine equation $x^{4}+y^{4}=z^p$

2 votes

Upper bound on number of integral solutions of elliptic curves

1 vote

A cubic equation, and integers of the form $a^2+192b^2$

1 vote

How do you find out the latest news in fields other than your own?

1 vote

What is the smallest unsolved Diophantine equation?

1 vote

Polynomial parametrization of the solutions to $yz=x^2+x\pm 1$

0 votes

A cubic equation, and integers of the form $a^2+32b^2$