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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 …
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 …
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 …