Divisible by this year? (Part 9: *into)

A person is bored waiting in line. He draws n n congruent circles where n n is a positive integer in the plane, all passing through a fixed point, P. If 2014 2014 is the number of regions into which these circles can divide the plane, find the minimum value of n n (Include the region outside the circles in your count.)

This is a Jinx from another Jinx

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The answer is 63.

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