

'''simple docstring'''







from ..utils import DummyObject, requires_backends


class 					A__      (      metaclass=_snake_case			):
    lowercase						=		["keras_nlp"]



    def __init__(					self		,				*UpperCamelCase__		,				**UpperCamelCase__       )						->      Optional[Any]:





           '''simple docstring'''
           requires_backends(self		,				["""keras_nlp"""]       )



'''simple docstring'''







from __future__ import annotations

import math
def       UpperCAmelCase__    (      UpperCAmelCase__				)			->			bool:

       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(UpperCAmelCase__				) + 1				),       6				):
              if number % i == 0 or number % (i + 2) == 0:
                     return False
       return True


__lowerCamelCase		       =    [num for num in range(3, 10_0001, 2) if not is_prime(num)]
def       UpperCAmelCase__    (      UpperCAmelCase__				)			->			list[int]:
       if not isinstance(UpperCAmelCase__,       UpperCAmelCase__				):
              raise ValueError("""n must be an integer"""				)
       if n <= 0:
              raise ValueError("""n must be >= 0"""				)

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

       return []
def       UpperCAmelCase__    (      )			->			int:
       return compute_nums(1				)[0]


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