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#include<bits/stdc++.h>
using namespace std;
//常规法
bool isPrime(int n) {
if (n <= 3) {
return n > 1;
}
for(int i = 2; i < n; i++) {
if (n % i == 0) {
return false;
}
}
return true;
}
// 平方根法优化
bool isPrimeSqrt(int n) {
if (n <= 3) {
return n > 1;
}
int s = sqrt(n);
for (int i = 2; i <= s; i++) {
if(n % i == 0) {
return false;
}
}
return true;
}
//6x优化法
bool isPrime6x(int n) {
if (n <= 3) {
return n > 1;
}
if (n % 6 != 1 && n % 6 != 5) {
return false;
}
int s= sqrt(n);
for (int i = 5; i <= s; i += 6) {
if (n % i == 0 || n % (i + 2) == 0) {
return false;
}
}
return true;
}
int main() {
cout<<isPrime(131)<<endl;
cout<<isPrimeSqrt(131)<<endl;
cout<<isPrime6x(131)<<endl;
return 0;
}