Tagged Questions
4
votes
1answer
103 views
A problem in prime number theory
I was wondering if anybody here might provide me with a hint for this rather innocuous-looking problem:
If $X:= \{pq: p, q \mbox{ are prime numbers and } p\neq q\}.$ In addition, let us suppose that ...
6
votes
2answers
257 views
Proof of the van der Waerden theorem
The van der Waerden theorem states that given any natural numbers $k$ and $r$, there exists a natural number $W=W(k,r)$ such that if the set $\{1,2\cdots W\}$ is divided into $r$ classes (also called ...
3
votes
1answer
112 views
Van Der Waerden without topological dynamics?
Applying topological dynamics to prove Van Der Waerden's theorem on the existence of monochromatic arithematic progression has now become a somewhat classical example of the power of topological ...
