How many of Landau's Problems are true?

Basic

Ṁ262

2031

82%

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.
Twin prime conjecture: There are infinitely many primes p such that p+2 is also prime.
Legendre's conjecture: There is always a prime between any two perfect squares.
There are infinitely many primes of the form n^2+1.

How many of these conjectures will turn out to be true?

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1,000

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The conjectures must be solved before 2031 ?

@nlhm No, that's an arbitrary end date since we don't know when they'll actually be solved.

@JosephNoonan It will be resolved to % ?

@nlhm No, the close date will be extended.

@JosephNoonan Ok thanks for the information

@JosephNoonan May I ask how you know so much conjectures ? Are you a mathematician ?

@nlhm These are all famous problems in number theory, especially the Goldbach conjecture and twin prime conjecture. There's even a Wikipedia article for them: https://en.wikipedia.org/wiki/Landau%27s_problems

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