204. Count Primes

Medium35.8% acceptance1,229,953 / 3,439,116 submissions

Asked by 19 companies

Topics


Given an integer n, return the number of prime numbers that are strictly less than n.

 

Example 1:

Input: n = 10
Output: 4
Explanation: There are 4 prime numbers less than 10, they are 2, 3, 5, 7.

Example 2:

Input: n = 0
Output: 0

Example 3:

Input: n = 1
Output: 0

 

Constraints:

  • 0 <= n <= 5 * 106

Hints

Hint 1
Checking all the integers in the range [1, n - 1] is not efficient. Think about a better approach.
Hint 2
Since most of the numbers are not primes, we need a fast approach to exclude the non-prime integers.
Hint 3
Use Sieve of Eratosthenes.

Similar Questions