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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.

2 votes

Has there been any new development on the Freudenthal Problem?

I have a new result that might be a step towards proving there are infinitely many solutions. We show that there is an infinite sequence of values for which $F(s)$ is at most 1. Consider $s_k = 2^{2 …
Brett Berger's user avatar
3 votes
Accepted

Has there been any new development on the Freudenthal Problem?

This year I submitted my work on this problem as part of Summer of Math Exposition https://btm.qva.mybluehost.me/solving-freudenthals-impossible-problem/ This includes a much better result than my 201 …
Brett Berger's user avatar
26 votes
2 answers
1k views

Has there been any new development on the Freudenthal Problem?

Equivalently, if Polly was told the number $p$, then the first two lines of the puzzle are satisfiable. … This corresponds to a solution to the puzzle. Other claims I will make about the behavior of $F(s)$ are just conjectures. …
Brett Berger's user avatar