The pp --> pp eta'(958) reaction has been measured at the cooler synch
rotron COSY at Julich using the internal beam and the COSY-11 facility
. The total cross sections at the four different excess energies Q = 1
.5, 1.7, 2.9, and 4.1 MeV have been evaluated to be sigma = 2.5 +/- 0.
5, 2.9 +/- 1.1, 12.7 +/- 3.2, and 25.2 +/- 3.6 nb, respectively. In th
is region of excess energy the eta'(958) cross sections are much lower
compared to those of the pi(0) and eta production.