58P/Jackson–Neujmin is a periodic comet in the Solar System with a current orbital period of 8.19 years.
The comet was discovered on a photographic plate on 20 September 1936 by Cyril Jackson of the Union Observatory, South Africa, who described it as faint and diffuse, with a brightness of magnitude 12. On the following day Grigory N. Neujmin of the Simeis Observatory, in Crimea, Russia discovered it independently. Fernand Rigaux of the Royal Observatory in Uccle, Belgium then also found it on an earlier photographic plate exposed on 9 September 1936.
The predicted 1945 apparition was not observed due to uncertainty about its position and appearance date and even Elizabeth Roemer was unable to find it in 1953. 1961 was again very difficult but Charles Kowal managed to relocate it in September, 1970. The 1995 appearance was more favourable and brightness reached a magnitude of 10.
It was last observed in September, 2009.