Intelligent responses to our technological signals will not arrive in fewer than three millennia

What is the chance we start a conversation with another civilization like our own? Our technological society produced signals that could be received by other extraterrestrial civilizations, within sphere around us radius of ?102 light years. Given that, Copernican principle provides lower limit on response time should expect from transmitters Earth-like planets Sun-like stars. If lives longer, expected number responses increase. We explore detecting in future, and show only to arrive after few millennia.