Will we detect a message originating from Luyten's Star before 2046?

In October 2017, Messaging Extraterrestrial Intelligence International (METI) transmitted a signal into space designed to let other civilizations know we're here.

The message, transmitted to a red dwarf star 12 light-years from Earth and contains information on human understanding of science, math and time.

In March 2017, a planet three times the mass of Earth within the habitable zone was discovered orbiting the star. If there's anyone on that planet who receives the message, their reply could arrive as early as 2042.