2

This number is a prime.

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The smallest prime of the form 2^p - p. [Capelle]

There is no prime between n! + 2 and n! + n. [Capelle]

π(n) is greater than or equal to π(n/2)3/2 for each natural number n. Note that 2 and 3 are the first prime numbers. [Capelle]

If p and q are consecutive prime numbers, then floor(p/q + q/p) = 2. Note that lim(p/q + q/p) = 2, as p and q approach infinity. [Capelle]

π(2^π) = π(π²). [Capelle]