19501 || || — || May 23, 1998 || Socorro || LINEAR || — || align=right | 15 km || |-id=502 bgcolor=#E9E9E9 | 19502 || || — || May 23, 1998 || Socorro || LINEAR || — || align=right | 5.0 km || |-id=503 bgcolor=#d6d6d6 | 19503 || || — || May 22, 1998 || Socorro || LINEAR || INA || align=right | 14 km || |-id=504 bgcolor=#d6d6d6 | 19504 Vladalekseev || || || June 1, 1998 || La Silla || E. W. Elst || EOS || align=right | 8.9 km || |-id=505 bgcolor=#E9E9E9 | 19505 || 1998 MC || — || June 16, 1998 || Woomera || F. B. Zoltowski || — || align=right | 3.8 km || |-id=506 bgcolor=#d6d6d6 | 19506 Angellopez || || || June 18, 1998 || Majorca || Á. López J., R. Pacheco || — || align=right | 8.5 km || |-id=507 bgcolor=#d6d6d6 | 19507 || || — || June 19, 1998 || Caussols || ODAS || — || align=right | 11 km || |-id=508 bgcolor=#d6d6d6 | 19508 || || — || June 27, 1998 || Kitt Peak || Spacewatch || — || align=right | 9.1 km || |-id=509 bgcolor=#E9E9E9 | 19509 Niigata || || || June 29, 1998 || Anderson Mesa || LONEOS || — || align=right | 7.5 km || |-id=510 bgcolor=#fefefe | 19510 || || — || June 26, 1998 || La Silla || E. W. Elst || FLO || align=right | 3.2 km || |-id=511 bgcolor=#E9E9E9 | 19511 || || — || June 19, 1998 || Socorro || LINEAR || EUN || align=right | 4.6 km || |-id=512 bgcolor=#E9E9E9 | 19512 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 4.0 km || |-id=513 bgcolor=#d6d6d6 | 19513 || || — || August 17, 1998 || Socorro || LINEAR || 7:4 || align=right | 16 km || |-id=514 bgcolor=#E9E9E9 | 19514 || || — || August 24, 1998 || Socorro || LINEAR || EUN || align=right | 5.4 km || |-id=515 bgcolor=#E9E9E9 | 19515 || || — || August 24, 1998 || Socorro || LINEAR || — || align=right | 6.6 km || |-id=516 bgcolor=#fefefe | 19516 || || — || August 24, 1998 || Socorro || LINEAR || — || align=right | 11 km || |-id=517 bgcolor=#E9E9E9 | 19517 Robertocarlos || || || September 18, 1998 || La Silla || E. W. Elst ||