Summer of Math Exposition

Presented by 3Blue1Brown 3blue1brown

My attempt at a better prime number theorem.

Audience:

Tags: infinitybounded-infinityprimes

Getting a better idea of prime density by combing exponential growth with exponential decay.


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3.54 Overall score*
161 Rank
7 Votes
2 Comments

Comments

6.1

Difficult to watch on its own but probably very useful if you’ve seen more videos from this author. Otherwise a nice explainer!

4

This would not be considered better. It outperforms at given ranges and is a good heuristic. Stepping outside of current accepted proven mathematics, I do not know the whole story of your work, but, the golden ratio does have a strong relation to prime distributions. Do not quote me on this next part, but, you might be tapping into a continuation of x/ln(x)x/ln(x) via harmonic analysis. Ive seen the relation through my own personal derivation and work through of:

i/x=xⁱ which yielded e^𝛑i + (e^(5𝛑/12))/√2 = 1.61803319… https://doi.org/10.5281/zenodo.16972089 So, I believe your touching something real.