Numbers equal to Sum of Primes not Greater than its Prime Counting Function Value/Mistake

Source Work

 * The Dictionary
 * $100$
 * $100$

Mistake

 * The largest number for which the sum of the primes less than the number of primes less than or equal to the number is the number itself. In this case, $\pi \left({n}\right) = 25$, and the sum of the primes from $2$ to $23 = 100$. The other numbers with this property are $5$, $17$, $41$ and $77$.

The example given should have been presented as:
 * $\pi \left({100}\right) = 25$

But note that for $n = 5$ and $n = 17$, the sum of the primes less than $\pi \left({5}\right) = 3$ and $\pi \left({17}\right) = 7$ falls short of $5$ and $17$.

$3$ and $7$ themselves need to be included in that sum.

Hence the statement should be amended to:
 * The largest number for which the sum of the primes less than or equal to the number of primes less than or equal to the number is the number itself.