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.
How Decoding Works (Backwards Magic)
Given a prime and a tiny key, we can recover the original name. Here is the step-by-step tour of how the puzzle unscrambles in reverse.
How We Pack Your Name Into Fewer Bits
A clever 1952 compression trick lets us squeeze a name into a fraction of the space — and that's what makes finding your prime feasible.
How We Tidy Your Name for the Puzzle
Before your name becomes a prime, it goes through a tiny grooming routine. Here's why, and what it does.
Huffman Coding: Squeezing Names into Fewer Bits
How a 1952 idea by a graduate student lets us pack a name into 60 bits instead of 200 — and why a3.0 primes can be reversed.
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 let AI write code but keep it miles away from the calculator — and why deterministic arithmetic matters for your prime.
Pebbles and Primes
A hands-on pebble activity for discovering primes and multiplication by arranging stones in rows.
Prime Hunting With Tiny Tweaks
How we wiggle a few free bits inside your puzzle until the whole thing happens to be a prime number.
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.
Share the Prime, Protect the Key
Your prime is a number you can show the world. Your key is the secret that turns it back into a name. Here's how to handle both.
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 Nine Trick: How to Read Minds with a Calculator
A pocket-sized math trick that looks like magic — and the surprisingly simple secret that makes it work.
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 Name Is in the Number
Your prime is not a label stuck beside your name. The name is in the digits — and with a three-letter word, you can read it back out.
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.
Your Tiny Key and the Number Lock
Every reversible prime comes with a 3-character key. Here's what it does, why it's so short, and what kind of lock it's actually opening.
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