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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.

Paypex is an Ethereum-based token and payment network. The token is traded on a limited number of exchanges. The company's marketing materials do not describe the technical advantages of the token, or the benefits that their technology has.