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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.

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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.

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From Name to Fingerprint

How we turn your name into a unique, one-way fingerprint (a hash) that nobody can reverse.

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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.

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The Largest Known Prime

The record prime has over 41 million digits — 2^136279841 − 1, found by GIMPS in October 2024.

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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.

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Organic, Artisanal Math

Why we use deterministic algorithms instead of AI to verify your prime — and why that matters more than you'd think.

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Pebbles and Primes

A hands-on pebble activity for discovering primes and multiplication by arranging stones in rows.

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The Majesty of Numbers: Finding Your Prime

How we turn a name into a 128-bit digital signature that's yours and yours alone.

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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.

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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.

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The Loneliness of the Number Two

Why the only even prime is basically the oddest number of all.

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The Miller–Rabin Test

How we know a number is prime without dividing by zillions of smaller numbers — the clever test behind your prime.

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The Prime Hunt

How we start at your number and step forward (odd numbers only) until we find the first prime — yours.

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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.

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What Do You Mean 1 Isn't Prime?

It looks prime, it feels prime, and for centuries mathematicians agreed. So what happened?

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Why Seven is Always Watching You

The mysterious, lucky, and slightly unsettling nature of the digit 7.

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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.

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