Prime Quest – Research Portal on Prime Numbers
General Introduction
“Prime numbers are the atoms of arithmetic.”
— Carl Friedrich Gauss
Prime Quest is a research and knowledge portal dedicated entirely to the study of prime numbers.
Its mission is twofold: to deepen the mathematical understanding of prime structures,
and to encourage open, collaborative research through modern computational tools.
At the intersection of mathematical history, analytical theory, and digital innovation,
Prime Quest connects classical mathematics with contemporary research,
bringing together scientists, students, and enthusiasts from around the world.
Pole A – Research and Innovation (PrimeQuest)
Study, Experiment, Discover
This is the scientific core of the project, aimed at everyone wishing to contribute to prime number research — mathematicians, teachers, programmers, and passionate learners alike.
Objectives
- Investigate and test new prime-generating formulas.
- Develop and analyze algorithms for prime detection and visualization.
- Implement distributed collaborative computation for large-scale experimentation.
- Build an open database of prime families, density, and distribution patterns.
How to participate
- Create an account on the Prime Quest / Quête Premiers platform.
- Download the collaborative computation module.
- Launch experiments and monitor results in your dashboard.
- Share results and hypotheses through the collaborative research forum.
Resources under Pole A
- Online database of discovered or verified primes.
- Repository of scripts, formulas, and algorithms.
- “Virtual Lab” for ζ-function visualizations, sieves, and prime distributions.
- Technical documentation and developer API.
Pole B – Mathematical Foundations and Culture
Understanding to Explore Further
The educational and theoretical side of the project provides a complete and progressive overview of number theory — from Euclid to Riemann, from simplicity to abstraction.
Ten chapters cover the evolution of the prime concept:
- Introduction to Prime Numbers
- Ancient History and Origins
- The Classical Era (Fermat, Euler, Mersenne)
- The Nineteenth Century: Analytical Foundations
- Riemann and the ζ Function
- The Twentieth Century: Progress and Records
- Mersenne Numbers and Modern Tests
- Cryptography and Modern Applications
- Prime Curiosities and Special Families
- Contemporary Research and Future Perspectives
Pole C – Resources, Education and Community
This section bridges research and dissemination.
It provides materials for education, outreach, and collaboration between academics and the public.
Resources include:
- Popular science and educational articles.
- Biographical notes on major mathematicians.
- Comprehensive glossary of key mathematical concepts.
- Materials for teachers, students, and independent learners.
Community features:
- Discussion forum and collaborative research space.
- Personal logs for contributors.
- Collective blog for sharing results and reflections.
- News, discoveries, and scientific highlights.
Overall Vision
Prime Quest is an open mathematical laboratory devoted to uncovering the deep laws of primality.
Its spirit rests on three essential principles:
- Transmit the heritage and logic of number theory.
- Explore new structures through experimentation and distributed computation.
- Unite a global community around one of the oldest mysteries in science: the nature of prime numbers.