# 2

This number is a prime.

Just showing those entries submitted by 'Capelle': (Click here to show all)

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(π^{2}). [Capelle]

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