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Upvote for doing the math, but we're going to have to ditch traditional chemical rockets for this kind of trip. Fortunately, we're making progress on alternatives.

https://arstechnica.com/science/2017/02/nasas-longshot-bet-o...

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Note that he's not giving a figure for a chemical engine, but a fusion engine (sometimes termed a "torchship" due to the absurd power involved.) That would be strictly more efficient than VASIMR or similar. The figure would be even more ludicrous with a LOX/LH2 engine.

(I did not check his math, however.)

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