
"""simple docstring"""







from __future__ import annotations

import math




def       A_      (       lowercase   )  ->				bool:


     """simple docstring"""







     if 1 < number < 4:
          # 2 and 3 are primes
          return True
     elif number < 2 or number % 2 == 0 or number % 3 == 0:
          # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
          return False

     # All primes number are in format of 6k +/- 1
     for i in range(5    ,			int(math.sqrt(lowercase   ) + 1   )    ,			6   ):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True


lowercase_         =       [num for num in range(3, 10_0001, 2) if not is_prime(num)]




def       A_      (       lowercase   )  ->				list[int]:


     """simple docstring"""







     if not isinstance(lowercase    ,			lowercase   ):
          raise ValueError("""n must be an integer"""   )
     if n <= 0:
          raise ValueError("""n must be >= 0"""   )

     UpperCAmelCase_    :     List[Any]            =	[]
     for num in range(len(lowercase   )   ):
          UpperCAmelCase_    :     Any            =	0
          while 2 * i * i <= odd_composites[num]:
               UpperCAmelCase_    :     int            =	odd_composites[num] - 2 * i * i
               if is_prime(lowercase   ):
                    break
               i += 1
          else:
               list_nums.append(odd_composites[num]   )
               if len(lowercase   ) == n:
                    return list_nums

     return []




def       A_      (       )  ->				int:


     """simple docstring"""







     return compute_nums(1   )[0]


if __name__ == "__main__":
       print(f"""{solution() = }""")



"""simple docstring"""







lowercase_         =       "\n# Transformers installation\n! pip install transformers datasets\n# To install from source instead of the last release, comment the command above and uncomment the following one.\n# ! pip install git+https://github.com/huggingface/transformers.git\n"

lowercase_         =       [{"type": "code", "content": INSTALL_CONTENT}]
lowercase_         =       {
    "{processor_class}": "FakeProcessorClass",
    "{model_class}": "FakeModelClass",
    "{object_class}": "FakeObjectClass",
}

