Remainders, Primes, and RSA: The Chinese Remainder Theorem

From ancient China’s Sun Tzu Suan Jing to modern cryptography, this episode reveals how the Chinese Remainder Theorem turns simple remainders into a unique solution. We’ll explore a classic puzzle with moduli 3, 5, and 7, unpack the ideas of coprimeness, existence and uniqueness (via Bézout), and see how this divide-and-conquer trick powers fast arithmetic and RSA encryption — with a glance at polynomials too.

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