# Questions tagged [experimental-mathematics]

The tag has no usage guidance.

78 questions
Filter by
Sorted by
Tagged with
1k views

### Does anyone remember what happened to the experimental search for polynomial identities for $\pi$?

So a while back I was on the internet and had encountered a website containing an experimental search for identities for $\pi$. My memory was that the page belonged to either Jonathan Sondow or ...
• 2,588
149 views

### Increasing sequences and Wieferich primes

We are trying to show that primes of the form $a(n)$ can't be Wieferich primes. For natural $n$ define $J(n)=(2^{n-1}-1) \bmod n^2$ and if $n$ is power of two define $J(2^n)=1$ (this is artificial, ...
• 24.3k
55 views

• 2,514
8k views

### What mathematical problems can be attacked using DeepMind's recent mathematical breakthroughs?

I am a research mathematician at a university in the United States. My training is in pure mathematics (geometry). However, for the past couple of months, I have been supervising some computer science ...
194 views

### Zeros of the semiprimes

Let $P$ be the prime zeta function $$P (s) = \sum_{p\, \in\text{ primes}} \frac 1 {p^s} = \frac {1} {2^s} + \frac {1} {3^s} + \frac 1 {5^s} + \frac 1 {7^s} + \frac 1 {11^s} + \cdots$$ and define the ...
• 1,893
196 views

### Does there exist an $L$-function for any subset of $\mathbb{N}$?

Consider the following prime sum: \begin{aligned} \sum _{p}{\frac {\cos(x\log p)}{p^{1/2}}} \end{aligned} whose spikes appear at the Riemann $\zeta$ zeros as shown here. Taking these detected spikes (...
• 1,893
287 views

• 2,514
121 views

### A special kind of pseudo-garden eden states in cellular automata

I'm currently investigating Wolfram's elementary cellular automata on finite grids with periodic boundary conditions, i.e. on $\mathbb{Z}/k$ for different $k$. It is clear that for each rule $R$ and ...
• 9,634
88 views

• 17.6k
1 vote
370 views

### Astonishing affinity of Wolfram's rule 110 to the numbers 2 and 7

I investigated the evolution of a single black cell on 1-dimensional grids with periodic boundary conditions of variable sizes $N$ under Wolfram's rule 110 which is the only one for which Turing ...
• 9,634
188 views

### Reporting inconclusive experimental searches

In many areas of mathematics it is informative to conduct numerical experiments. But, it not uncommon that the searches do not lead to the examples or data one was hoping for. Since the numerical ...
• 2,891
280 views

### Math videos featuring interesting data animations

I am looking for interesting videos featuring pure data animations (not someone talking about math, but a video featuring some math phenomenon). I am interested in videos that tell a story, rather ...
• 3,088
478 views

• 24.3k