SSH key pairs are cryptographic credentials consisting of two parts: A private key and a public key.SSH key pairs provide secure authentication without transmitting sensitive information over the network.RSA's brilliance lies in the elegant use of prime numbers and modular arithmetic.Ed25519 operates on a specialized Edwards curve.ECDSA uses the NIST P-curves, which are defined over prime fields.The security of these algorithms depends on different hard mathematical problems.The advent of quantum computers poses different threats to these algorithms.The choice between these algorithms goes beyond mathematics—it's about balancing security, compatibility, and performance.Ed25519 represents the future: mathematically elegant, computationally efficient, and designed with modern threats in mind.For systems requiring broad compatibility, RSA with 4096 bits remains a solid choice.