Landau’s problems
Landau’s problems are four conjectures about prime numbers![]()
which were unsolved at the time Edmund Landau presented on them at International Congress of Mathematicians of 1912.
- 1.
Goldbach’s conjecture
- 2.
The twin prime conjecture

- 3.
Legendre’s conjecture
- 4.
The conjecture that there are infinitely many primes of the form .
Unlike similar collections of unsolved problems, this collection does not include the Riemann hypothesis![]()
.
Almost a hundred years later, all four of Landau’s problems are still unsolved.