according to the trolls in the cryptsy chatbox, primechains are only pseudo mathematics and have no use in the real world, so don't get your hopes up i guess. me i think that prime numbers serve some type of purpose. what it is? i have no idea
Anyways they are usefull for some mathematicians, I belive only a few use such huge primes, that's what I've found out a while ago..
The CC chains have even "real" world use as you can create "Auto-Recoverable and Auto-Certifiable Cryptosystems" with them. This are public key infrastructures with the capability of recovering the private key by authorities cooperating with the certification authority. In other words crypto-system which LE agencies are able to decrypt but not some other attacker. I´m sure every state would love if people would start using such systems
From a more mathematical stand point this data has also value as there are still many open questions in this area like e.g. if there are infinitely many chains of a given length and the distribution of such chains in the set of all primes. This data could be used for verifying conjectures in this area.
By the way Sunny, how do you have choosen the difficulty algorithm, did you used the HardyLittlewood conjecture?