|| La Silla || E. W. Elst || — || align=right | 6.5 km || |-id=758 bgcolor=#E9E9E9 | 13758 || || — || September 21, 1998 || La Silla || E. W. Elst || — || align=right | 4.1 km || |-id=759 bgcolor=#d6d6d6 | 13759 || || — || September 26, 1998 || Socorro || LINEAR || — || align=right | 12 km || |-id=760 bgcolor=#E9E9E9 | 13760 Rodriguez || || || September 26, 1998 || Socorro || LINEAR || — || align=right | 4.2 km || |-id=761 bgcolor=#fefefe | 13761 Dorristaylor || || || September 26, 1998 || Socorro || LINEAR || NYS || align=right | 3.1 km || |-id=762 bgcolor=#fefefe | 13762 || || — || September 26, 1998 || Socorro || LINEAR || — || align=right | 3.3 km || |-id=763 bgcolor=#d6d6d6 | 13763 || || — || September 26, 1998 || Socorro || LINEAR || — || align=right | 7.9 km || |-id=764 bgcolor=#fefefe | 13764 Mcalanis || || || September 26, 1998 || Socorro || LINEAR || — || align=right | 2.3 km || |-id=765 bgcolor=#d6d6d6 | 13765 Nansmith || || || September 26, 1998 || Socorro || LINEAR || KAR || align=right | 3.5 km || |-id=766 bgcolor=#fefefe | 13766 Bonham || || || September 26, 1998 || Socorro || LINEAR || FLO || align=right | 2.9 km || |-id=767 bgcolor=#E9E9E9 | 13767 || || — || September 26, 1998 || Socorro || LINEAR || — || align=right | 4.6 km || |-id=768 bgcolor=#d6d6d6 | 13768 || || — || September 18, 1998 || La Silla || E. W. Elst || KOR || align=right | 3.5 km || |-id=769 bgcolor=#E9E9E9 | 13769 || || — || September 20, 1998 || La Silla || E. W. Elst || — || align=right | 3.8 km || |-id=770 bgcolor=#d6d6d6 | 13770 Commerson || || || September 20, 1998 || La Silla || E. W. Elst || — || align=right | 4.4 km || |-id=771 bgcolor=#d6d6d6 | 13771 || || — || September 26, 1998 || Socorro || LINEAR || — || align=right | 4.6 km || |-id=772 bgcolor=#d6d6d6 | 13772 Livius || || || September 18, 1998 || La Silla || E. W. Elst || EOS || align=right | 9.5 km || |-id=773 bgcolor=#E9E9E9 | 13773 || || — || October 14, 1998 || Višnjan Observatory || K. Korlević || — || align=right | 5.3 km ||