[Retric]

New Horizons is a traditional design with chemical propultion. Ion drives should hit ~5.5x that speed fairly easily. (http://www.extremetech.com/extreme/144296-nasas-next-ion-dri...)

A larger issue is RTG's are not useful on a very long long timescale.

ITER style fusion is likely the best power source for such missions and should hit ~1-10% of light speed fairly easily. But, building something that large is a major issue.

On the upside, we have already gone 18.1 light hours, 4.2 light years is not an unreasonable jump.

[Nadya]

~5.5x that speed is still about 13,636~ years. Much better but still not very realistic....

18.1 lighthours is 3/4ths of 1 lightday. Which is 1/1533 of 4.2 lightyears or in other words: 0.06% of the way there. Going the remaining 99.94% is a massive jump!