Primecoin is a cryptocurrency based on finding prime numbers. Identifying prime numbers plays a central role in cryptography. Primecoin's unique Proof-of-Work (PoW) consensus mechanism is able to increase transaction speeds and improve energy efficiency.
The network searches for special prime number chains known as Cunningham chains and bi-twin chains, which are of interest in mathematical research.

Mindexcoin is developing a universal payment platform powered by the Ethereum based token, MIC. Their marketing materials do not clearly outline any unique selling points, or advantages, that it will provide compared to other blokchain-based payment platforms.

Nimiq is a censorship-resistant cryptocurrency that is designed to run in the user's browser. Nimiq's focus is on usability and the browser first approach allows coin holders to participate in their payment network more easily. Nimiq uses a Merkle-based accumulator to store accounts and balances, and has a Non-Interactive Proofs of Proof-of-Work consensus mechanism.