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constructible polygons
Numbers which count the sides of regular polygons constructible with ruler and compass. more

The first 600 constructible polygons :

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 1094 values, from 3 to 900719925264384).

n\r 0  1
2106331 2
3536279279 3
41032153116 4
5528140142141143 5
65207271162728 6
70185183187178181180 7
810007158328168 8
90939126894942689294 9
10512313621391613761394 10
110110108109108111111108109109111

A pictorial representation of the table above
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.