We just need a 1g rocket. Will take only a few days to get there. Life on earth will be 1000 years ahead once we are back though.
As long as you are stuck flinging mass out of the back of your rocket to accelerate you don't get to go anywhere outside of our solar system.
https://ntrs.nasa.gov/api/citations/20200001904/downloads/20...
>our best chemical rockets are more like 450 seconds
If we're talking about leaving the Solar system, and 1G rockets, why on Earth would you ever even think about primitive chemical rockets? Obviously, nuclear rockets are a mandatory first-step before getting close to that level of technology.
And given that we already have nuclear power plants, as well as designs (untested) for nuclear rockets, why even bring up chemical rockets?