How does number theory relate to rsa?

Number theory is fundamental to RSA encryption, as it relies on properties of prime numbers and modular arithmetic. RSA generates public and private keys based on the product of two large prime numbers, making it computationally infeasible to factor this product back into its prime components. The security of RSA hinges on the difficulty of this factorization problem, a central topic in number theory. Thus, the principles of number theory are essential for both the creation and security of the RSA algorithm.