How many piano concertos did beethoven compose?

Beethoven composed five piano concertos:

1. Piano Concerto No. 1 in C major, Op. 15

2. Piano Concerto No. 2 in B-flat major, Op. 19

3. Piano Concerto No. 3 in C minor, Op. 37

4. Piano Concerto No. 4 in G major, Op. 58

5. Piano Concerto No. 5 in E-flat major, Op. 73 (Emperor Concerto)