# 113

This number is a prime.

Single Curio View: (Seek other curios for this number)

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 05:56:26; Last Modified: 2012-04-16 06:00:52.

Printed from the PrimePages <primes.utm.edu> © G. L. Honaker and Chris K. Caldwell