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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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?

Background I have seen a few variants of this Sum-and-Product puzzle in the past. The premise of these puzzles is as follows Sam hears the sum of two numbers, Polly the product. The numbers are …
Brett Berger's user avatar