Prime Wisdom
A collection of educational, whimsical, and entirely prime observations.
Composite Numbers: The Team Players
If primes are the loners of the number world, composites are the social butterflies — every one of them a product of smaller friends working together.
Euclid's Greatest Hit: Book IX, Proposition 20
In 300 BC, a Greek mathematician proved primes never run out — with an argument so clean it still makes people smile.
From Name to Fingerprint
How we turn your name into a unique, one-way fingerprint (a hash) that nobody can reverse.
How We Tidy Your Name
How we turn your name into one consistent recipe for your prime — and how accents work in different algorithm versions.
The Largest Known Prime
The record prime has over 41 million digits — 2^136279841 − 1, found by GIMPS in October 2024.
Mersenne Primes: The Celebrity Primes
Primes of the form 2ⁿ − 1 are rare, enormous, and famous. They've been hunted for four centuries — and the search is still on.
Organic, Artisanal Math
Why we use deterministic algorithms instead of AI to verify your prime — and why that matters more than you'd think.
Pebbles and Primes
A hands-on pebble activity for discovering primes and multiplication by arranging stones in rows.
The Majesty of Numbers: Finding Your Prime
How we turn a name into a 128-bit digital signature that's yours and yours alone.
Safe Primes: The Bodyguards of Cryptography
A safe prime is a prime where (p − 1) / 2 is also prime. They keep your secrets safe — literally.
The Sieve of Eratosthenes
A 2,200-year-old algorithm for finding primes that's so simple a child can do it — and so clever it's still taught in every CS course.
The Loneliness of the Number Two
Why the only even prime is basically the oddest number of all.
The Miller–Rabin Test
How we know a number is prime without dividing by zillions of smaller numbers — the clever test behind your prime.
The Prime Hunt
How we start at your number and step forward (odd numbers only) until we find the first prime — yours.
Twin Primes: The Buddy System
Some primes travel in pairs, always exactly two apart. Nobody can prove they go on forever — but everybody believes it.
What Do You Mean 1 Isn't Prime?
It looks prime, it feels prime, and for centuries mathematicians agreed. So what happened?
Why Seven is Always Watching You
The mysterious, lucky, and slightly unsettling nature of the digit 7.
Your Number in the Number Universe
What 128 bits means in friendly terms, and how your fingerprint becomes a starting point on a giant number line.