Keep in mind that at the time this "temptation" took place there is no record in the Gospels of any public miracle by Jesus that would have given anyone an indication who He was.
Due to Herod’s murder of Jesus’ contemporaries, Jesus was the only male his age from the neighborhood and days earlier John (the Baptist) had pretty well identified Jesus as who takes away sin...
**Keep in mind that at the time this “temptation” took place there is no record in the Gospels of any public miracle by Jesus that would have given anyone an indication who He was.**
Keep in mind that there is no record in the Gospels of Jesus calling himself the Son of God. Yet Satan personally dropped in on this man out in the wilderness, and dared him to prove that he was the Son of God.