A blog with short unconventional explorations in recreational mathematics, offering essays paired with interactive Python programs to enhance learning and discovery. The essays are typically shorter than research papers and focus on recreational math topics.
The apps have moved. Following Trinket’s closure on 31 August 2026, I have transferred the interactive Python apps to their new home at play.emmerix.net. You can explore the gallery, run the apps in your browser, and experiment with the code there.
Check my latest posts:
- What Combinatorial Chemistry can Teach us about the AI revolution in Mathematics and Informatics
- Is Goldbach’s Conjecture ‘Likely’ True?
- The Unit Distance Problem: Erdős’s Lattices, AI-Aided Breakthrough, and Community-Optimized Solutions
- When Diversity Becomes Logic
- Diversity Subset Selection on Lines and Staircases
- Between Uniformity and Collision: A New Phase-Transition
- A very, very simple method to estimate Pi
- Isolating Noise from Signal in the Prime Number Distribution
- P-adic wheels
- How to Optimally Stack Your Books and Avoid a ‘Bad Hangover’
- The Hardness of Proving Hardness: Selecting Minimum Riesz Energy Subsets on a Line
- Elegant Addition-only Prime Generation in LISP
- The Gumbel Distribution, Extreme Rainfall, and the Euler–Mascheroni Constant
- How Computers Really Work: A countdown on a von Neumann machine
- The Tent Map – A Simple Path to Chaos
- Centroid Subdivision of a Triangle: A Simple Recursion Creating a Complex Pattern
- Divisibility, Co-primes, and Euler’s Totient on the Prime Vector Grid
- Überlichtschnelle Quantenkommunikation? – Zwischen Einsteins Hypothese und Bells Experiment (in German)
- On Prime Vectors and Unique Factorization of Rationals
- Uniformly Lighting the Christmas Tree: Riesz s-Energy in Action
- Fundamental Theorem of Arithmetics: Zermelo’s proof in detail
- Fundamental Theorem of Arithmetics: A proof from first principles
- The Partition Problem and the Possibility of an U.S. Electoral Stalemate
- RSA Cryptography: Alice and Bob
- Of Autumn Leaves and Coupon Collectors
- Triangularized: Sierpinski’s Gasket and Pascal’s Triangle
- Grand Cycles of the Primes
- Prime Clockwork
- Playing with Primes
Licensing and Citation Information
Unless otherwise stated, all content on “Mathematical Playground” by Michael T. M. Emmerich is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International License (CC BY-NC-ND 4.0) .
How to Cite
If you reference content from this blog, please use the following citation format:
- APA Style: Emmerich, M. T. M. (2025, January 12). On prime vectors and unique factorization of rationals. Mathematical Playground. Retrieved from https://emmerix.net/2025/01/12/on-prime-vectors-and-unique-factorization-of-rationals
- BibTeX:
@misc{emmerich2025primevectors, author = {Michael T. M. Emmerich}, title = {On Prime Vectors and Unique Factorization of Rationals}, year = {2025}, url = {https://emmerix.net/2025/01/12/on-prime-vectors-and-unique-factorization-of-rationals}, note = {Accessed: 2025-01-13} } Subscribe
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