We describe prime ideals of height 2 minimally generated by three elements in a Gorenstein, Nagata local ring of Krull dimension 3 and multiplicity at most 3. This subject is related to a conjecture of Y. Shimoda and to a long-standing problem of J. Sally.
Goto, S., O'Carroll, L., Planas-Vilanova, F. A. Noncomplete intersection prime ideals in dimension 3. "Kyoto Journal of Mathematics", 01 Juny 2015, vol. 55, núm. 2, p. 461-475.