it's important to remember that the Earth emits 100x the radio wave energy than the sun. At some point between 50 and 100 light years the Omni directional rad

it's important to remember that the Earth emits 100x the radio wave energy than the sun. At some point between 50 and 100 light years the Omni directional radio waves blend with the background radiation. I have seen projections of "plausibly easy" detection up to 50 light years. They difference between the number of stars that are 50 light years vs 40 light years is about 2x, so the calculation of how many stars are in range is actually very sensitive to emission range. There are 64 stars 50 ly out, and almost 500 up to 100ly out. That's still not that many though, given the 500 billion stars in our galaxy. It seems only plausible that an ET intelligence would detect us if they have seeded the galaxy with probes - in which case their would probably be one listening in our own system anyway.