Stones of Barenziah

 are gems in The Elder Scrolls V: Skyrim. It is regarded as an Unusual Gem. This prompts a Miscellaneous Quest to be added to the Journal, saying that the player must appraise the gem before using it. Gems can be appraised by a few people; two of which are Maul in Riften and Vex, part of the Thieves Guild, also in Riften.

Upon getting it appraised, the player discovers that there are actually 24 of them and are only valuable as a whole set. Most, if not all are found in the extra jobs for the Thieves Guild.

The reward for collecting all of these items is (Information Needed).

Locations

 * 1) Solitude, Proudspire Manor: Master bedroom. (you have to buy the property first)
 * 2) Solitude, Blue Palace: On a shelf in Jarl Elisif's quarters
 * 3) Thalmor Embassy: In Elenwen's Solar, in a bedroom (during or after the main quest "Diplomatic Immunity")
 * 4) Dainty Sload: On a table in the Captain's Quarters (ship is moored near Solitude)
 * 5) College of Winterhold: Shelf in Arch-Mage's quarters
 * 6) Yngvild: chamber behind the throne in throne room
 * 7) Hob's Fall Cave - necromancer's sleeping area
 * 8) Markarth, Treasury House: next to bed in the master bedroom
 * 9) Markarth, Understone Keep: on a table in a locked side room of the Dwemer Museum
 * 10) Dead Crone Rock: on a makeshift alter
 * 11) Whiterun, Jorrvaskr (Companions): In Kodlak's bedroom
 * 12) Whiterun, Hall of the Dead: In one of the wall crypts near a skeleton
 * 13) Whiterun, Dragonsreach: in the Jarl's bedroom area
 * 14) Rannveig's Fast: on a table near the watery prison
 * 15) Fellglow Keep: on a counter in the workroom at the top of the front foyer
 * 16) Windhelm, House of Clan Shattershield: in a bedroom
 * 17) Windhelm, Palace of the Kings: on a table in Wuunferth the Unliving's quarters
 * 18) Stony Creek Cave - in the Bandit Wizard's cavern
 * 19) Ansilvund: Near Fjori's ghost in the burial chambers
 * 20) Sunderstone Gorge: on the alter in front of the word wall
 * 21) Dark Brotherhood Sanctuary - on the dresser in Astrid's room (must be done during or after DB quests "With Friends Like These" and / or "Destroy the Dark Brotherhood"
 * 22) Pinewatch: in a locked treasure room in the Bandit Sanctuary
 * 23) Riften, Mistveil Keep: in the Jarl's chambers
 * 24) Riften, Black Briar Lodge: in the upstairs master bedroom