问如何通过索引删除向量中2元素的每一个倍数

EN

int n = 10001;    
std::vector<int> sieve;    

for (int i = 2; i <= n; ++i)
    sieve.push_back(i);


for (int i = 2; i < sieve.size(); i += 2)
    sieve.erase(sieve.begin() + i);

// index, value
0 2
1 3
2 5
3 6
4 8
5 9
6 11
7 12
8 14
9 15
10 17
....

for (int i = 2; i <= n; i++)
    sieve.push_back(i);

for (int i = sieve.size(); i >= p; i -= p)
    sieve.erase(sieve.end() - i);