Problem 35: Circular primes

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The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime.

There are thirteen such primes below 100: 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, and 97.

How many circular primes are there below n, whereas 100 ≤ n ≤ 1000000?

Note:

Circular primes individual rotation can exceed n.

Test

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