Twin Prime Conjecture in Python

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                # Program to check if a number is prime or not
                num = 3
                prime = []
                
                # To take input from the user
                # num = int(input("Enter a number: "))
                
                while num != 10000:
                    if num > 1:
                        # check for factors
                        for i in range(2, num):
                            if (num % i) == 0:
                                num = num + 1
                                break
                        else:
                            prime.append(num)
                            num = num + 1
                
                    # Check for 1, but this program starts at 3 so no need for this.
                    else:
                        num = num + 1
                
                
                end = False
                
                while end == False:
                    # get first number in list
                    first = prime[0]
                
                    # Iterate through the list of prime numbers
                    for x in prime:
                        if x - first == 2:
                            print(first, " and ", x, " are twin primes!")
                        else:
                            continue
                    prime.pop(0)
                
                    # if the list of prime numbers is empty, exit while loop
                    if not prime:
                        end = True