June 1, 1998 || La Silla || E. W. Elst || — || align=right | 8.0 km || |-id=019 bgcolor=#d6d6d6 | 38019 Jeanmariepelt || || || June 1, 1998 || La Silla || E. W. Elst || URS || align=right | 12 km || |-id=020 bgcolor=#d6d6d6 | 38020 Hannadam || 1998 MP || || June 17, 1998 || San Marcello || L. Tesi, A. Boattini || — || align=right | 4.9 km || |-id=021 bgcolor=#E9E9E9 | 38021 || || — || June 16, 1998 || Kitt Peak || Spacewatch || AGN || align=right | 3.7 km || |-id=022 bgcolor=#d6d6d6 | 38022 || || — || June 19, 1998 || Caussols || ODAS || — || align=right | 3.9 km || |-id=023 bgcolor=#d6d6d6 | 38023 || || — || June 26, 1998 || La Silla || E. W. Elst || — || align=right | 4.7 km || |-id=024 bgcolor=#d6d6d6 | 38024 Melospadafora || 1998 OB || || July 16, 1998 || Caussols || ODAS || — || align=right | 7.0 km || |-id=025 bgcolor=#d6d6d6 | 38025 || 1998 QF || — || August 17, 1998 || Prescott || P. G. Comba || — || align=right | 11 km || |-id=026 bgcolor=#E9E9E9 | 38026 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 5.3 km || |-id=027 bgcolor=#d6d6d6 | 38027 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 11 km || |-id=028 bgcolor=#d6d6d6 | 38028 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 8.3 km || |-id=029 bgcolor=#d6d6d6 | 38029 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 9.2 km || |-id=030 bgcolor=#d6d6d6 | 38030 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 5.8 km || |-id=031 bgcolor=#d6d6d6 | 38031 || || — || August 17, 1998 || Socorro || LINEAR || ALA || align=right | 8.9 km || |-id=032 bgcolor=#d6d6d6 | 38032 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 6.6 km || |-id=033 bgcolor=#d6d6d6 | 38033 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 11 km || |-id=034 bgcolor=#d6d6d6 | 38034 || || — || August 30, 1998 || Kitt Peak || Spacewatch || —