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.

Nano, formerly known as Railblocks, is a cryptocurrency that is focused on enabling fast transactions with no fees. Nano's innovative blockchain architecture utilizes a block lattice structure that does not need miners to confirm transactions.
Nano uses a Delegated Proof-of-Stake consensus.

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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.