Thanks SunnyKing. You have made crypto currencies a lot more interesting. Most of these posts are about how to optimise the client but the fundamentals are to do with prime numbers and number theory and hopefully the real benefit of your coin will be more interest in these areas. I like this stuff but I've already learnt more from looking at the ideas behind your currency.
I am sure that there are real number theory experts that have a lot of expertise in generating and analysing primes who have probably haven't heard of prime coin yet. Instead of doing strange abstract pure mathematics for no reason

they could now do it to generate a strange virtual currency.
I think that there will a whole generation of ways of improving and optimising your client and block generation speeds but I think this will be closer to mathematical research than speeding up hashing. One of the things I don't understand is why the verification techniques are not a more optimal method to generate the chains?
I also am slightly concerned that the integral of the difficulty factor will not change very often and so the difficulty factor will be dependent on the remainder of the Fermat test which is not very well explained and apparently not linear. This might make the difficulty levels a bit wobbly but none of this will necessarily be a major problem.
I'm looking forward to following the progress of prime coin. Good luck.
