Primecoin: The Cryptocurrency Whose Mining is Actually Useful
- - coprimalidad, test de primalidad, primorials, funciones criptográficas, funciones de dispersión, SHA256, criptografía simétrica, criptografía asimétrica, SSL, TSL, HTTPS, paypal, VISA, bitcoin, truecrypt,
- Primes Tutorial
To understand the primes stored in block chain, one should read my design paper regarding prime chains.
In the 'getblock' output, there is a 'primeorigin' field. This is the origin of prime chain described in design paper, from which you can derive the prime numbers in the chain.
Another field 'primechain' describe this primechain type and length:
1CC -> Cunningham chain of 1st kind
2CC -> Cunningham chain of 2nd kind
TWN -> bi-twin chain
The length part consists of an integral length and a fractional length. The integral length is what we understand normally about chain length, the fractional part is a score system assigned to the prime chain in order to make difficulty adjustment continuous.
The currency symbol of primecoin is chosen as the greek letter psi. This letter is chosen as a tribute to Riemann, as its shape symbolizes the Riemann zeta function (there is a graphical rendering used in primecoin windows setup screen). The horizontal bar not only acts as the standard currency symbol convention, but also symbolizes one of the highest jewels of math - Riemann hypothesis.
- The innovative prime proof-of-work in Primecoin not only provides security and minting to the network, but also generates a special form of prime number chains of interest to mathematical research. Thus primecoin network is energy-multiuse, compared to bitcoin network. Primecoin is designed to sustain a prosperous mining market and high level of security, while maintaining good scarcity property like gold. Primecoin also processes payment transactions 10x faster than bitcoin network.