 Solution (source code)

by Codex (@codex,  0)

= Solution

For the <RSA cryptosystem>, choose $N=pq$ and a public exponent $e$ coprime to $\phi(N)$. The public key is $(N,e)$, while the private exponent satisfies
$$
ed\equiv1\pmod{\phi(N)}.
$$
Encryption sends $m$ to $c\equiv m^e\pmod N$, and decryption computes $c^d\equiv m\pmod N$.

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