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Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
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Superimpose the graphs of y = sin(πx/n) for n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13... on a single pair of axes.
These curves intersect the x-axis when x = kn
and intersections which belong to only one curve correspond to prime values of n.