Random Numbers aren't reaching limit - c++

Question

I am creating a random number generator for numbers between 110,000 and 320,000. When I run it, no numbers are above 150,000. Is there some way to make sure that numbers above 150,000 are generated? Even generating thousands of numbers do not work. I am aware I have lots of things included. Here is the code:
#include <stdlib.h>
#include <iostream>
#include <Windows.h>
#include <cstdlib>
#include <ctime>
#include <iostream>
#include <sstream>
#include <conio.h>
#include <ctime>
#include <random>
#include <cstdlib>
#include <ctime>
#include <iostream>
using namespace std;
int main() {
srand((unsigned) time(0));
int randomNumber;
for (int index = 0; index < 500; index++) {
randomNumber = (rand() % 320000) + 110000;
cout << randomNumber << endl;
}
}

Answer 1

As noted by John. You could use more recent random number generators easier to manipulate.
Adapting the code from C++ Reference about uniform_int_distribution
for your use case is straightforward:
#include <iostream>
#include <random>
int main(void) {
std::random_device rd; // Will be used to obtain a seed for the random number engine
std::mt19937 gen(rd()); // Standard mersenne_twister_engine seeded with rd()
std::uniform_int_distribution<> distrib(110000, 320000);
for (int n=0; n<10; ++n)
// Use `distrib` to transform the random unsigned int generated by
// gen into an int in [110000, 320000]
std::cout << distrib(gen) << ' ';
std::cout << '\n';
}