Hmm For my four most important numbers I would have to go with pi, and e. As far as two others I would go with the golden ratio because of the significance that it holds and i (which is imaginary but still pretty important... I'm not sure if I can count i..) Pi because almost all geometry and trig need an approximation of pi so it is used in tons of applications, and e for a similar reason.
Just thought I would add the thoughts off the top of my head to this one...
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