An extended survey of the Small Magellanic Cloud with the SAS 3 X-ray observatory detected SMC X-1 but no other source with a luminosity greater than 1.0 x 10 to the 37th ergs/sec. In particular, SMC X-2 and SMC X-3, observed one month earlier at luminosities of 7 x 10 to the 37th and 10 x 10 to the 37th ergs/sec, respectively, were not detected, which proves that they are both highly variable. The results indicate that the maximum luminosities of early-type X-ray stars in the SMC congregate near 10 to the 38th ergs/sec, which is about five times the maximum luminosity of similar sources in the Galaxy.