E. F. Helin || — || align=right | 8.3 km || |-id=588 bgcolor=#fefefe | 37588 Lynnecox || || || April 15, 1991 || Palomar || C. S. Shoemaker, D. H. Levy || — || align=right | 3.8 km || |-id=589 bgcolor=#E9E9E9 | 37589 || || — || July 9, 1991 || Palomar || E. F. Helin, K. J. Lawrence || RAF || align=right | 4.3 km || |-id=590 bgcolor=#d6d6d6 | 37590 || || — || September 13, 1991 || Palomar || H. E. Holt || HIL3:2 || align=right | 15 km || |-id=591 bgcolor=#E9E9E9 | 37591 || || — || October 10, 1991 || Palomar || K. J. Lawrence || — || align=right | 6.1 km || |-id=592 bgcolor=#E9E9E9 | 37592 Pauljackson || || || October 3, 1991 || Tautenburg Observatory || L. D. Schmadel, F. Börngen || — || align=right | 3.4 km || |-id=593 bgcolor=#E9E9E9 | 37593 || 1991 UJ || — || October 18, 1991 || Kushiro || S. Ueda, H. Kaneda || — || align=right | 5.8 km || |-id=594 bgcolor=#E9E9E9 | 37594 || || — || October 29, 1991 || Kitt Peak || Spacewatch || NEM || align=right | 5.1 km || |-id=595 bgcolor=#d6d6d6 | 37595 || || — || October 29, 1991 || Kushiro || S. Ueda, H. Kaneda || EOS || align=right | 7.3 km || |-id=596 bgcolor=#FA8072 | 37596 Cotahuasi || || || November 9, 1991 || La Silla || E. W. Elst || — || align=right | 2.1 km || |-id=597 bgcolor=#d6d6d6 | 37597 || || — || March 2, 1992 || La Silla || UESAC || THM || align=right | 7.0 km || |-id=598 bgcolor=#fefefe | 37598 || || — || March 2, 1992 || La Silla || UESAC || — || align=right | 2.9 km || |-id=599 bgcolor=#d6d6d6 | 37599 || || — || March 3, 1992 || La Silla || UESAC || — || align=right | 11 km || |-id=600 bgcolor=#d6d6d6 | 37600 || || — || March 2, 1992 || La Silla || UESAC || — || align=right | 3.3 km || |} 37601–37700 |-bgcolor=#fefefe | 37601 Vicjen || || || April 3, 1992 || Palomar || C. S. Shoemaker, D. H. Levy || PHO || align=right | 3.9 km || |-id=602 bgcolor=#d6d6d6 | 37602 || || — || April 24, 1992 || Kitt Peak || Spacewatch || — || align=right | 5.8 km || |-id=603 bgcolor=#fefefe