Gedi Prime was the main planet in the Gedi planetary system. This Federation vacation planet was touted as making Risa look like a "tourist trap". It featured kilometers of crystalline beaches, mood reefs, and bioluminescent waterfalls, and a championship golf course.
In 2377, B'Elanna Torres planned a romantic getaway for herself and Tom Paris in a holographic re-creation of Gedi Prime, but Paris became involved in preparing for the Antarian Trans-stellar Rally and forgot. (VOY: "Drive")
Later that year, The Doctor asked a holographic Reginald Barclay if he wanted to play the "back nine" on Gedi Prime or Pebble Beach at sunset. (VOY: "Inside Man")
The name Gedi Prime is a tip of the hat to Giedi Prime, homeworld of House Harkonnen in the Dune series. Prima Giedi is an actual star. Beyond the similarity in name, the planets are very different.