|| Socorro || LINEAR || H || align=right | 2.0 km || |-id=349 bgcolor=#fefefe | 31349 Uria-Monzon || 1998 SV || || September 16, 1998 || Caussols || ODAS || — || align=right | 1.3 km || |-id=350 bgcolor=#fefefe | 31350 || || — || September 17, 1998 || Woomera || F. B. Zoltowski || FLO || align=right | 1.8 km || |-id=351 bgcolor=#fefefe | 31351 || || — || September 26, 1998 || Socorro || LINEAR || H || align=right | 1.5 km || |-id=352 bgcolor=#fefefe | 31352 || || — || September 26, 1998 || Socorro || LINEAR || — || align=right | 1.7 km || |-id=353 bgcolor=#fefefe | 31353 || 1998 TE || — || October 2, 1998 || Gekko || T. Kagawa || V || align=right | 2.2 km || |-id=354 bgcolor=#fefefe | 31354 || || — || October 14, 1998 || Socorro || LINEAR || H || align=right | 3.0 km || |-id=355 bgcolor=#fefefe | 31355 || || — || October 15, 1998 || Višnjan Observatory || K. Korlević || V || align=right | 4.0 km || |-id=356 bgcolor=#fefefe | 31356 || || — || October 12, 1998 || Kitt Peak || Spacewatch || FLO || align=right | 1.5 km || |-id=357 bgcolor=#fefefe | 31357 || || — || October 28, 1998 || Višnjan Observatory || K. Korlević || — || align=right | 3.3 km || |-id=358 bgcolor=#fefefe | 31358 || || — || October 17, 1998 || Anderson Mesa || LONEOS || — || align=right | 3.3 km || |-id=359 bgcolor=#fefefe | 31359 || || — || October 29, 1998 || Socorro || LINEAR || PHO || align=right | 6.4 km || |-id=360 bgcolor=#fefefe | 31360 Huangyihsuan || || || November 10, 1998 || Socorro || LINEAR || — || align=right | 2.5 km || |-id=361 bgcolor=#E9E9E9 | 31361 || || — || November 10, 1998 || Socorro || LINEAR || EUN || align=right | 6.9 km || |-id=362 bgcolor=#fefefe | 31362 || || — || November 14, 1998 || Kitt Peak || Spacewatch || — || align=right | 2.8 km || |-id=363 bgcolor=#fefefe | 31363 Shulga || || || November 14, 1998 || Anderson Mesa || LONEOS || NYS || align=right | 1.9 km || |-id=364 bgcolor=#fefefe | 31364 || || — || November 24, 1998 || Kleť || Kleť Obs. || — || align=right | 1.8 km || |-id=365 bgcolor=#fefefe | 31365