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An asymmetric (e.g. public-key) cryptosystem, based on modular exponentiation with big exponents and modulus. RSA can be used both for signature and encryption with proper paddings.

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RSA: large private exponent often yields large public exponent

I easily understand that a small value for $e$ leads to a large value for $d$, as $e\cdot d\geq k\varphi(N)+1$ with $k\in\mathbb Z$ and $N=pq$ being the RSA modulus. …
Philipp Imhof's user avatar