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I am not sure about popular but the most used ones would probably be pi, e, 1, 2 and 10.
I might not be right, but I think because of the softness of the lead/graphite. I might be wrong! (Sorry!!!!)
64 is a popular number, as it's a square and a cube number, and also has quite a few factors- 1, 64, 2, 32, 4, 16, 8.
If the intent was to avoid the war, Antarctica would rank very, very high on the list.
Shridhar Acharya's formula is a popular root finding formula in mathematics. If an equation can be represent as follows: ax^2+bx+c = 0 then the root will be x = (a+-(b^2-4ac)^1/2)/2a