#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;
}

运行后会提示异常，看了一下输出中有抛出下面的提示，但检查代码，没有发现问题在哪。。。
HEAP CORRUPTION DETECTED: after Normal block (#190) at 0x006AF5B0.
CRT detected that the application wrote to memory after end of heap buffer.


(Press Retry to debug the application)

new unsigned long long{max}
应该是
new unsigned long long[max]
吧

不过代码应该永远不出现自己管理内存的事儿。

谢谢，确实是[]符号写错了，自己检查时一直没看出来。。。

你没有用到类似malloc 这样在堆上申请内存就不会存在内存泄漏，你的内存都是在栈上面，顶多把栈撑穿了也不会内存泄漏。