The first FORTRAN compiler shipped this week in 1957. Herbert Bright gives his account of running his first FORTRAN program with the new compiler here.
(Bright gives the date as Friday, April 20, 1957, but April 20 fell on a Saturday that year. It seems more plausible that he correctly remembered the day of the week—he says it was late on a Friday afternoon—than that he remembered the day of the month, so it was probably Friday, April 19, 1957.)
For more history, see Twenty Five Years of FORTRAN by J. A. N. Lee written in 1982.
Thanks to On This Day in Math for the story.