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Questions designed to get an overview of a specific subject or body of results or to understand the relations among similar definitions, techniques or concepts appearing in different sub-fields of mathematics. While such questions by their very nature sometimes cannot be made very narrow and focused, it can be helpful to keep in mind that the design of MathOverflow does not make it a good fit for questions that are too broad.
1
vote
Proposals for polymath projects
Like Erdos-Straus conjecture, another result, which is very simple to state and understand and yet a proof remains elusive, is the Collatz conjecture.
If the function $f(n)$ is applied recursively …
11
votes
Proposals for polymath projects
Erdos-Straus conjecture
For every integer $n > 1 $, there exists three positive integers $x$, $y$ and $z$, such that the equation $\frac{4}{n}=\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$ holds. Note that for …