C#-Code

using System;
using System.Collections.Generic;
using System.Linq;

GetPrimeList(1000).ForEach(x => Console.WriteLine(x));

static List<(int prime, int primeRev)> GetPrimeList(int max)
{
    List<(int, int)> lst = new();
    for (int i = 10; i <= max; i++)
    {
        if (IsPrime(i))
        {
            var pr = GetRevNum(i);
            if (IsPrime(pr))
                lst.Add((i, pr));
        }
    }
    return lst;
}

static bool IsPrime(int n) => n > 1 && Enumerable.Range(1, n).Where(x => n % x == 0).SequenceEqual(new[] { 1, n });

static int GetRevNum(int num)
{
    var rev = 0;
    while (num != 0)
    {
        rev *= 10;
        rev += (num % 10);
        num /= 10;
    }
    return rev;
}