superprismatic
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You're right. I lived in Melbourne for three years and there was significant cloud cover for most of the fall and winter (March thru September) there.
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I don't know. I don't even know how the can opener works!
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If 51 points are placed inside a square of side length 1, what is the diameter of the smallest circle which is guaranteed to be able to encircle at least three of these points, if properly placed? For purposes of this problem, points on the boundary of a figure are considered to be inside.
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Let N be a positive integer greater than 1. Show that any subset of N+1 distinct positive integers less than or equal to 2N contains at least one pair of integers which are relatively prime.
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