* High Surface Temperature and Luminosity are Linked: A star's surface temperature is directly related to its luminosity. The hotter a star is, the more energy it radiates, and thus the brighter it appears.

So, a star with a very high surface temperature *must* be luminous.

However, there are a couple of scenarios where this might seem like a contradiction:

* Distance: A very hot star could be incredibly far away, making it appear dim even though it's actually very luminous.

* Size: While hot stars tend to be large, there are some extremely hot but very small stars called white dwarfs. These stars are the remnants of larger stars that have shed their outer layers. They are very hot, but their small size means they have relatively low luminosity.

Therefore, there are no stars with very high surface temperatures that are *not* luminous. The apparent lack of luminosity could be due to distance or the star being a white dwarf.