Rumour has it the USAF tasked a pilot with the sole purpose of beating the record and he lost his bottle at somewhere around 1600 and had to stop.
A U.S. Air Force pilot trying to break the record for carrier landings? I would suggest that tale might be somewhat apocryphal. Might fool a Marine though...
I believe VADM Ted Carter over at Boat School holds the U.S. record for carrier landings at just over 2000.
Fair winds and following seas Captain Winkle Brown!