Welcome to the V Systems supernode operated by Primecoin! We are very happy to serve the V Systems community for staking service.
Primecoin Project started in 2013, after weeks of contemplating whether hashcash can be replaced in Bitcoin’s POW Consensus. Eventually a 100% prime mining distributed consensus algorithm - Primecoin Consensus - was designed and implemented, with Primecoin blockchain started in July 2013.
One might ask, if Peercoin solved energy consumption in consensus than why Primecoin? In fact the motivation was quite similar. A large group of Bitcoin devotees were very stubborn in believing the perfection of Bitcoin Consensus. So if the crypto community must consume this vast energy, it would be better to use the energy more intelligently. Primecoin Consensus has achieved energy multiuse through the mining of interesting mathematical patterns like twin prime chains, and at the same time serving to secure the decentralized consensus.
So I am very happy to see V Systems community, Peercoin community and Primecoin community join hands and having fun together!
Primecoin Team is producing a short video to explain Primecoin Project. So it would be presented here once it’s ready. Here I would just pose some quizz that’s hopefully entertaining for the community.
Twin primes are pairs of prime numbers that differs by 2. For example (3, 5), (5, 7), (11, 13), (17, 19), (29, 31) etc. We know there are infinitely many primes since Euclid. However mathematicians today still can’t prove twin primes are infinitely many. This is known as the Twin Prime Conjecture.
Twin Prime Conjecture: There exist infinitely many twin primes.
Zhang Yitang was getting close, but still just close. In fact, most probably don’t know, that Chen Jingrun was close too, decades earlier, with his classic 1(+)2 approach. Today the conjecture seems not as hopeful as Zhang’s breakthrough first came out in 2013. Back in 1900, Hilbert grouped Twin Prime Conjecture, Goldbach Conjecture and Riemann Hypothesis as a bundle related to prime number distribution into #8 of Math’s unsolved problems for the new century. But, the 20th century couldn’t do #8. Will 21st century do it?
However, there are potentially even more daunting challenges with prime number distribution than Hilbert’s #8.
Primecoin is interested in twin prime chains (aka bi-twin chain). These are chains of twin primes, where each twin doubles the previous twin (in terms of their averages) in the chain. For example, (11, 13) averages 12, doubling (5, 7) with average 6. So 5, 7, 11, 13 is a twin prime chain of length 4.
Twin Prime Chain Conjecture: There exist arbitrarily long twin prime chains.
Quiz 1. If Twin Prime Chain Conjecture is true, then Twin Prime Conjecture is true.
Quiz 2. If Twin Prime Chain Conjecture is true, then there exist infinitely many twin prime chains of any given even length.
I know some of you tend to be discouraged by math however the quiz are not meant to be hard but fun! So give it a try! This is like a lovely stony hilltop that’s easy on your brain rather than the unfathomable peaks of the mathematical mountains!