Following the suggestion by R. L. Jaffe twenty years ago [1], researchers have been trying to establish the existence of a six-quark object, termed the "H" dibaryon, predicted by the phenomenological quark bag model. This object quickly became the focus of experimental searches at several locations, including the AGS [2]. This search still continues, with perhaps the most active program being carried out at the 2.0 GeV/c beam line at the BNL-AGS. The research was considerably enhanced by the writing of two notable papers at BNL by Aerts and Dover [3,4], which gave quantitative predictions for N-production cross sections in two very different reaction mechanisms. One of these, the formation of cascade atomic deuterium to form the H by fusion, had been first suggested by P. D. Barnes [5]. The 2.0 GeV/c line [6] at the AGS was specifically designed to provide am adequate kaon flux for double strangeness and charge exchange reactions. It has been used for two H searches, E813 and E836, as well as for several AA searches, E885 and E906. These four experiments are setting significant limits on N-production. The results of these experiments are discussed, and descriptions of related H searches at Brookhaven are given.