# 113

This number is a prime.

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π(*n*) is defined as the number of primes less than or equal to

*n*. The prime number theorem states that π(

*n*)*ln(

*n*)/

*n*approaches 1 as

*n*tends to infinity. The maximum value of this expression, 1.2550587..., occurs at

*n*= 113. [Keith]

Submitted: 2012-04-16 10:56:26; Last Modified: 2012-04-16 11:00:52.

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