A004148(n) for n = 3, 6, 7, 22, no more through 70. Note that Koshy and Salmassi give an elementary proof that the only prime Catalan numbers A000108 are a(2) = 2 and a(3) = 5.

The next term, if it exists, has more than 2000 digits. - Charles R Greathouse IV, May 13 2012