The Piano Concerto No. 3 in D minor, Op. 30 by Sergei Rachmaninoff (colloquially known as the Rach 3) is famous for its technical and musical demands on the performer. It is one of the most difficult works for piano ever written and has the reputation of being the most difficult concerto in the entire piano repertoire.
Ludwig van Beethoven's Piano Concerto No. 3 in C minor, Op. 37 was composed in 1800, and first performed on April 5, 1803 with the composer as soloist.
Bartók's third piano concerto is a musical composition for piano with orchestral accompaniment. The piece was composed in 1945 by Hungarian composer Béla Bartók during the final months of his career and life. It consists of three movements, and noticeably deviates from the composer's earlier works in that it contains tonal themes, and lacks much of the dark coloring and complex rhythmic features common in earlier works.
Sergei Prokofiev wrote his Piano Concerto No. 3 in C major in 1921, utilizing sketches first started in 1913.
Tchaikovsky's Third Piano Concerto proved one of the more troublesome of its composer's musical progeny. Birthed as a symphony, then discarded, it returned as a three-movement concerto, only to give no end of trouble to Tchaikovsky as he continued to work with it. The piece proved stubborn to the end.