We propose two practical and provably secure password hashing algorithms, Pleco and Plectron. They are built upon well-understood cryptographic algorithms, and combine advantages of symmetric and asymmetric primitives. By employing the Rabin cryptosystem, we prove that the one-wayness of Pleco is at least as strong as the hard problem of integer factorization. In addition, both password hashing algorithms are designed to be sequential memory-hard, in order to thwart large-scale password cracking by parallel hardware, such as GPUs, FPGAs, and ASICs. Moreover, the total computation and memory consumptions of Pleco and Plectron are tunable through their cost parameters.