Expedition 3: The Multiplicative Forest
Overview
[Content placeholder: Visualizing integers as a tree structure based on prime factorization. Understanding how primes "reappear" with density 1/p.]
The Mathematical Background
[Placeholder: Prime factorization, multiplicative structure, Euler product connection]
What This Expedition Studies
[Placeholder: Factor tree patterns, prime introduction (2p, 3p, p²), density patterns, connection to zero frequencies]
Visualizations
Factor tree visualizations and prime density heatmaps will go here
What We've Observed
- New primes always first appear at 2p
- Then at 3p, then p²
- Orderly introduction reflects multiplicative sieve structure
What We're Curious About Next
- How do interference patterns from periodic prime reappearance relate to zeros?
- Can we formalize the "multiplicative modular structure"?
[Technical content, factorization code, tree algorithms, references]