均匀分布随机素数发生器

Question

public class RandomPrime
{
    public static void main(String[] args)
    {
        int squareNumber = readInput();

        BigInteger randomPrimes[] = generateRandomPrime(squareNumber);
    }

    public static BigInteger[] generateRandomPrime(int num)
    {

        int numberOfPrimes = (int) Math.sqrt(num);
        int start, end, step;
        start = 1;
        step = num / numberOfPrimes;
        end = start + (step - 1);

        /*int randomPrimes[] = new int[numberOfPrimes];*/
        BigInteger randomPrimes[] = new BigInteger[numberOfPrimes];
        Random rand = new Random();
        int tempPrime;

        for (int i = 0; i < numberOfPrimes; i++) {
            while (true) {
                tempPrime = rand.nextInt(end - start) + start;
                if (isPrime(tempPrime)) {
                    randomPrimes[i] = new BigInteger(tempPrime + "");
                    System.out.println("Random prime is "+tempPrime);
                    break;
                }
            }

            start = end + 1;
            end = end + (step - 1);

            System.out.println("OUTER WHILE");
        }

        return randomPrimes;
    }

    public static boolean isPrime(int num)
    {
        for (int i = 2; i < num; i++) {
            if (num % i == 0) {
                return false;
            }
        }
        return true;
    }

    public static int readInput()
    {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int num = 0, sqrt;

        while (true) {
            System.out.println("Enter a square number");
            try {
                num = Integer.parseInt(br.readLine());
                sqrt = (int) Math.sqrt(num);
                if (num == (sqrt * sqrt)) {
                    System.out.println("Entered valid square num is "+num);
                    break;
                }
            } catch (NumberFormatException e) {
                e.printStackTrace();
            } catch (IOException e) {
                e.printStackTrace();
            }
            System.out.println("Entered a non square number.So");
        }

        return num;
    }
}

这是我写的代码。我想生成均匀分布的随机素数。这段代码有效。

我的问题：我不确定我的代码是否生成了均匀分布的素数。这是对的吗？如果没有，我该如何解决？