The Arkenstone of Thrain.
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Bilbo said, talking to himself, "what have i got in my pocket?" (it was the Ring). Gollum thought it was a riddle and Bilbo decided to make it one. he gave Gollum three chances to guess and gollum lost after four. then gollum went "to get something" (it was the ring), and Bilbo thought he was abandoned and left with the ring on. Gollum thought Bilbo knew the way out and he wanted to follow him, realizing Bilbo had the ring. Bilbo saw Gollum racing towards the gate and followed him to safety.
thorins is much powerfull
Gollum's magic ring that makes him invisible was lost somewhere in the caves of the Misty Mountains. Bilbo stumbled upon it, put it in his pocket, and that's how it left Gollum's possession and began its new adventures in the War of the Ring.
Bilbo put a letter on the spoons to Angelica so they were for her
Bilbo's sharp eyes spot the tiny key. It had evidently fallen out of the pocket of one of the trolls. Otherwise, it would have been turned to stone like their clothes.