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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
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 …