The f(x) ecosystem is fully decentralized. It’s designed and built to run autonomously in perpetuity without the reliance or supervision of any individual or organization. To support this autonomous structure, f(x) Coin which is the underlying ‘currency’ within the f(x) ecosystem has to be decentralized in terms of its distribution, allocation, control, circulation and the way it’s being generated.
Gapcoin is a new prime number based p2p cryptocurrency, which tries to eliminate the sticking points of other scientific currencies like Primecoin or Riecoin. It's a fork of Satoshi Nakamotos Bitcoin, a decentralized payment system which is independent of banks, governments and other centralized regulators. With Gapcoin, you will be able to anonymously send money around the globe in no time. The big improvement in comparison to Bitcoin is that instead of burning electricity for its own sake, Gapcoins Proof of Work function actually does useful work by searching for large prime gaps