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Landau's problems are four conjectures about prime numbers posed by Edmund Landau in 1912, none of which are solved as of 2023:
- Goldbach's conjecture: Every even integer (except 2) is the sum of two primes.
- the named outcome: There are infinitely many primes p such that p+2 is also prime.
- the named outcome: There is always a prime between any two perfect squares.
- There are infinitely many primes of the form n^2+1.
- Which will be the first of these conjectures to be proven or disproven?