def compute_truncated_primes(count: int = 11) -> list[int]:
    list_truncated_primes: list[int] = []
    num = 13
    while len(list_truncated_primes) != count:
        if validate(num):
            list_nums = list_truncated_nums(num)
            if all(is_prime(i) for i in list_nums):
                list_truncated_primes.append(num)
        num += 2
    return list_truncated_primes