Dwarf star's motion revealed the planet
The light from Proxima b is so weak that telescopes cannot possibly see it, but the planet makes its star move slightly.
In 2013, Finnish astronomer Mikko Tuomi discovered the first indications of the existence of the Proxima b planet, as he was going through a series of observations made in 2003-2009 by the Very Large Telescope in Chile. However, he was not sure, so in 2016, he initiated two months of observations from the La Silla Observatory in Chile. Already after 10 days, Proxima b was discovered with the 3.6 m HARPS telescope. No telescopes can see the small planet directly, but it revealed itself, because it makes its star move slightly.