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A Prime Counting Gallery

Audience:

Tags: prime-numbers-animation-programming

Starting with a tiny, simple recursive formula for counting primes, this website works through a dozen different variations of that formula, exploring a large spectrum of fundamental number theory ideas along the way. And it's all intertwined with vis.js animations of the recursive functions, informative d3.js animating graphs, live, runnable JavaScript code, and a dialogue format. Along the way, factor wheels, the logarithmic integral, the Dirichlet hyperbola method, the Dirichlet eta function, and the Chebyshev function will each show up organically. I had in mind both students of math and programmers who find primes interesting in mind when writing the site, but I think the striking animations, simple runnable code, and dialogue format could well broaden its reach.

https://primecounting.com/prime-counting-gallery/1-1-index

Analytics

5.26 Overall score*

47 Rank

8 Votes

6 Comments

Comments

8.6

Amazing! I had a wonderful time reading through the articles and exploring the interactive examples. Bonus points for skipping frameworks and using vanilla HTML & JavaScript.

7.5

Slightly more explanation in 1-2 would be helpful

5.5

Overall I enjoyed the entry. The network visualisations are cool and aid the novelty, although the physics based layout made it a little difficult to follow, so maybe an option to show a more traditional view may have helped.

I like the conversational style! It allows you to point out sections that you know can be confusing, letting the reader empathise strangely with themselves.

However my main issue with the entry is that I feel like this is more of an exploration than an explanation of a topic. I struggled with motivation to keep reading because I felt like there was not enough of a carrot dangling in front of me to keep going. There are also some glitches, e.g. the graph in the second page didn’t show anything for me.

In general the entry was novel and memorable, but motivation and clarity could be improved. Good work!

4.5

The visuals are confusing to me, and I found the equations hard to follow. Especially for the recursive equation for Fibonacci’s sequence. I does however, introduce a lot of concepts, so it’s nice to see them link together, with interactive graphs.

Nice interactive elements, and I liked the narration style. Instead of saying there were striking animations, it would nice to let the user decide that for themselves :)

4.9

The visuals were too confusing for me, but I liked the narration style.