The Greek first class condition in Matthew 4:3 revealed that Satan knew who Jesus was the Son of God.
Here is what the first class condition in the Greek reads like in Matthew 4:3 to the reader understanding the Greek.
And when the tempter {Satan/Lucifer/the devil} came to Him, he said, "If You are always {in the absolute status of being} the Son of God - and you are - SPEAK that these stones may become bread."
{Note: The Greek syntax of a 1st class conditional clause requires 'and you are'. This indicates that Satan recognized the deity of Christ even if we do not!
"The tempter came to him and said, “If you are the Son of God (and you are) tell these stones to become bread.”
Satan knew him before the Incarnation. Even demons knew who Jesus really was, and Jesus commanded them to be quiet.
Why did Satan tempt Jesus to turn the stones into bread? He would have to take back up his power to be God to do so!
Satan wanted Jesus to fail to live as a man. For if Jesus remained as a man? He could qualify to die for all men as a man.