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Nathan, who prophesied to David, was yet alive during Solomon's reign.
And let Zadok the priest and Nathan the prophet anoint him there king over Israel: and blow ye with the trumpet, and say, God save king Solomon. (1 Kings 1:34, KJV)
So Zadok the priest, and Nathan the prophet, and Benaiah the son of Jehoiada, and the Cherethites, and the Pelethites, went down, and caused Solomon to ride upon king David's mule, and brought him to Gihon. (1 Kings 1:38, KJV)
Now the rest of the acts of Solomon, first and last, are they not written in the book of Nathan the prophet, and in the prophecy of Ahijah the Shilonite, and in the visions of Iddo the seer against Jeroboam the son of Nebat? (2 Chronicles 9:29, KJV)
Ahijah and Iddo prophesied to Jeroboam, who came after Solomon and was king for the ten tribes that split from Solomon's son Rehoboam. There is no record of them bringing a prophecy to Solomon. Neither do we hear much about Nathan during Solomon's reign, apart from his assistance with and presence at Solomon's coronation.