Prime-Counting Function/Examples/16

Definition

The value of the prime-counting ($\pi$) function for $16$ is $6$.


Proof

The prime numbers less than $16$ are:

$2, 3, 5, 7, 11, 13$

Hence:

$\map \pi {16} = 6$

$\blacksquare$


Sources

  • 2008: David Joyner: Adventures in Group Theory (2nd ed.) ... (previous) ... (next): Chapter $2$: 'And you do addition?': $\S 2.1$: Functions: Ponderable $2.1.1$
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