  We present ROSAT HRI observations of six quasars with redshifts >3.4: PKS
0335-122, S4 0620+389, B1422+231, PKS 2215+02, Q 2239-386 and PC 2331+0216. We
include the observation of the radio-quiet quasar BG 57 9, whose redshift has
recently been revised to z = 0.965. S4 0620+389, B1422+231, PKS 2215+02 and BG
57 9 are detected in the ROSAT energy band (0.1-2.4 keV). 2 sigma upper limits
are given for the remaining objects. All X-ray sources are point like to the
limit of the HRI point spread function. We report marginal evidence for X-ray
variability in S4 0620+389 on timescales of several hours (rest frame). No
significant X-ray variability is found in the gravitationally lensed quasar
B1422+231 on rest frame timescales of hours and months. We present the spectral
energy distributions for six of the high redshift quasars and compare them to
the mean distribution of low redshift quasars.
