  This Report updates the tables of factorizations of a^n +- 1 for 13 < a <
100, previously published as CWI Report NM-R9212 (June 1992) and updated in CWI
Report NM-R9419 (Update 1, September 1994) and CWI Report NM-R9609 (Update 2,
March 1996). A total of 951 new entries in the tables are given here. The
factorizations are now complete for n < 76, and there are no composite
cofactors smaller than 10^102.
