The Cunningham chain record book is presumably maintained by Dirk Augustin here:
http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm
The bi-twin chain record book is presumably maintained by Henri Lifchitz here:
http://www.primenumbers.net/Henri/fr-us/BiTwinRec.htm
Upon a quick examination I have found that 2CC09 is the first world record claimed by primecoin:
Block #2044 New World Record for 2CC09 (131 digits)
Block #5355 New World Record for 2CC09 (158 digits)
So for the miners of #2044 and #5355 please step up and give us a proof you are the miner and the name you would like to be written for the record book
To look up if you are the lucky miner who mined a new world record you can go to help->debug window->console and type
validateaddress
If the validate shows 'ismine' as 'true' that means you own that address.
This is exciting even when I double check to confirm I am not the winner.
Only 3 days we made the record. Sunny is really innovative and contributing a lot to the community.
Bravo!