|| || — || April 21, 1998 || Socorro || LINEAR || — || align=right | 11 km || |-id=722 bgcolor=#d6d6d6 | 18722 || || — || April 25, 1998 || La Silla || E. W. Elst || — || align=right | 10 km || |-id=723 bgcolor=#d6d6d6 | 18723 || || — || May 1, 1998 || Haleakala || NEAT || THM || align=right | 12 km || |-id=724 bgcolor=#d6d6d6 | 18724 || || — || May 1, 1998 || Haleakala || NEAT || HYG || align=right | 15 km || |-id=725 bgcolor=#E9E9E9 | 18725 Atacama || || || May 2, 1998 || Caussols || ODAS || GEF || align=right | 6.0 km || |-id=726 bgcolor=#FA8072 | 18726 || || — || May 22, 1998 || Socorro || LINEAR || PHO || align=right | 2.6 km || |-id=727 bgcolor=#d6d6d6 | 18727 Peacock || || || May 22, 1998 || Anderson Mesa || LONEOS || HYG || align=right | 11 km || |-id=728 bgcolor=#E9E9E9 | 18728 Grammier || || || May 22, 1998 || Anderson Mesa || LONEOS || — || align=right | 4.8 km || |-id=729 bgcolor=#d6d6d6 | 18729 Potentino || || || May 22, 1998 || Anderson Mesa || LONEOS || KOR || align=right | 5.1 km || |-id=730 bgcolor=#d6d6d6 | 18730 Wingip || || || May 23, 1998 || Anderson Mesa || LONEOS || — || align=right | 8.9 km || |-id=731 bgcolor=#d6d6d6 | 18731 Vilʹbakirov || || || May 23, 1998 || Anderson Mesa || LONEOS || EOS || align=right | 9.8 km || |-id=732 bgcolor=#d6d6d6 | 18732 || || — || May 22, 1998 || Socorro || LINEAR || — || align=right | 16 km || |-id=733 bgcolor=#d6d6d6 | 18733 || || — || May 22, 1998 || Socorro || LINEAR || — || align=right | 10 km || |-id=734 bgcolor=#E9E9E9 | 18734 Darboux || || || June 20, 1998 || Prescott || P. G. Comba || — || align=right | 3.8 km || |-id=735 bgcolor=#d6d6d6 | 18735 Chubko || || || June 23, 1998 || Anderson Mesa || LONEOS || — || align=right | 9.5 km || |-id=736 bgcolor=#FFC2E0 | 18736 || 1998 NU || — || July 2, 1998 || Kitt Peak || Spacewatch || AMO +1km || align=right | 2.3 km || |-id=737 bgcolor=#fefefe | 18737 Aliciaworley || || || August 24, 1998 || Socorro || LINEAR || — || align=right | 4.8