Help to share beauty of math with more people

[fooz]

Hey everyone,

I’m working on an app (Math Journey) designed for those of us who appreciate beauty of mathematics. Unlike existing applications, it will dive into a bit more advanced topics (like the Riemann Zeta function and so on) but will maintain level of popular mathematics.
I’m looking for your suggestions on:

• Which advanced topics are rarely covered in typical apps but deserve more attention?
• Specific features you’d find exciting (e.g., interactive widgets, puzzle-based explorations, real-world case studies, etc.)?
• Any learning approaches that you’ve always wanted to see in an app?

My hope is to craft an experience that matches the curiosity of lifelong math learner. And in thanks for your help, I’m planning to offer promo codes so you can unlock paid content in the app once we add such functionality 😃

Feel free to comment with any ideas.
P.S. If you have any favorite niche topics—like prime numbers, exotic geometry — please mention them. I want to ensure we fill in the exact gaps you’re interested in!

[Kassander]

I'm not sure if this will help you, but I have developed a new representation for prime numbers. To be precise, the composite numbers are represented, which also makes the prime numbers visible. As I have described in my publications, this reveals new patterns that can be of importance for prime number research.

https://www.academia.edu/126146000/A_Novel_Visual_Representation_of_Prime_Number_Distribution_Interval_Graphic_Foundation_for_Further_Studies_

The special thing about this graphic, which I have called " Interval-Graphic", is that it combines many theories about prime numbers. On the one hand, it works in a similar way to the Sieve of Eratosthenes, which gradually eliminates more and more multiples of prime numbers and thus makes smaller prime numbers visible. On the other hand, Euclid's primorial and the Euclidean numbers around it can be made clearly visible. Prime number tuples such as twin primes are also visible in this way. It also becomes clear how they are created. Dirichlet's theorem is also visible, as are prime number gaps.