Landau’s problems

Landau’s problems are four conjectures about prime numbersMathworldPlanetmath which were unsolved at the time Edmund Landau presented on them at International Congress of Mathematicians of 1912.

  1. 1.

    Goldbach’s conjecture

  2. 2.
  3. 3.

    Legendre’s conjecture

  4. 4.

    The conjecture that there are infinitely many primes of the form p=n2+1.

Unlike similar collections of unsolved problems, this collection does not include the Riemann hypothesisMathworldPlanetmath.

Almost a hundred years later, all four of Landau’s problems are still unsolved.

Title Landau’s problems
Canonical name LandausProblems
Date of creation 2013-03-22 16:38:25
Last modified on 2013-03-22 16:38:25
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 4
Author PrimeFan (13766)
Entry type Definition
Classification msc 01A60