204. Count Primes

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class Solution {
public int countPrimes(int n) {
boolean[] primes = new boolean[n];
Arrays.fill(primes, true);
for (int i = 2; i * i < n; i++) {
if (!primes[i]) {
continue;
}
for (int j = i * i; j < n; j += i) {
primes[j] = false;
}
}

int count = 0;
// 注意 1 不是质数,因为它只能被 1 个数整除,现代质数定义为必须被 1 和自身这两个不同的数字整除
for (int i = 2; i < primes.length; i++) {
if (primes[i]) {
count++;
}
}
return count;
}
}

References

204. Count Primes