求教，请问这个程序存在内存泄漏嘛？

#include<iostream>
#include<iomanip>
#include<cmath>

int main()
{
    size_t max{};
    size_t count{ 3 };
    std::cout << "How many primes would you like? ";
    std::cin >> max;
    unsigned long long* primes{ new unsigned long long{max} };
    *primes = 2uLL;
    *(primes + 1) = 3uLL;
    *(primes + 2) = 5uLL;
    unsigned long long trial{ *(primes + 2) };
    bool isprime{ false };
    unsigned long long limit{};
    do
    {
        trial += 2;
        limit = static_cast<unsigned long long>(std::sqrt(trial));
        size_t i{};
        do
        {
            
            isprime = trial % *(primes + i) > 0;
        } while ( primes[++i] <= limit && isprime);

        if (isprime)
        {
            *(primes + count++) = trial;
        }
    } while (count < max);
    for (size_t i{}; i < max; ++i)
    {
        std::cout << std::setw(10) << *(primes + i);
        if ((i+1)%10==0)
        {
            std::cout << std::endl;
        }
    }
    std::cout << std::endl;
    delete[] primes;
    primes = nullptr;
}