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2025-08-30 18:35:01 +08:00
#include <iostream>
#include <cmath>
using namespace std;
bool is_prime(int num) {
if (num < 2) {
return false;
}
for (int i = 2; i <= sqrt(num); i++) {
if (num % i == 0) {
return false;
}
}
return true;
}
int main() {
int n = 100; // n的值为100
int prime_count = 0; // 质数个数的计数器
for (int i = 2; i <= n; i++) {
if (is_prime(i)) {
prime_count++;
}
}
cout << log(n) << endl;
cout << "质数个数: " << prime_count << endl;
double estimated_count = (n / log(n)); // 使用质数个数定理估计质数的个数
cout << "质数个数定理估计值: " << estimated_count << endl;
return 0;
}