The Constitution says no such thing.
How does one become a citizen of the United States?
Either by being a citizen at birth or through the naturalization process. Anyone who falls into the first category qualifies for the Presidency.
Yes, it does say such thing. Unless, of course, your Constitution says something other than everyone elses.
“No person except a natural born citizen, or a citizen of the United States, at the time of the adoption of this Constitution, shall be eligible to the office of President;”
Unless Barack Obama was alive when the Constitution was adopted, he cannot be President. He is ONLY a citizen of the United States.
No, anyone that is merely BORN in the US cannot be President.