Fantastic Four covers
First Issue #500 - September 2003
Last #588 - April 2011
Continued from Fantastic Four (1998 series)
Continued in Fantastic Four (2012 series)
The 1961 series of Fantastic Four lasted 415 issues. It was followed by the 1996 series which lasted 13 issues. That was followed by the 1998 series. When that series reached 71, the series was renumbered to #500 since it was the 500th overall issue of Fantastic Four.
Issues #589-599 do not exist. The story in issue 588 was continued in a new series titled FF. The series continued with issue #600.