What is the name of the piano song that repeats c a f g chords?

Love Song = Includes a 'D'

C hopsticks = FG, EG, DB, CC

So it can't be one of these two, unless it includes these chords

Only If = Right Notes, but seriously wrong pattern.

Oh great! So we have to worry about the pattern aswell?

Yep, If you after something like this, however, Only If is a nice piano song just suited for it.

So, what can it be then?

Well, turns out, that this song is a popular song, what you have provided it more or less the base line. The actuall song is a duet. The second player plays a tune, in the high treble, going: CCCCBABCDEFGGG...etc.

But what is the name of it?

Heart and Soul!