






from __future__ import annotations

import math

def      __lowercase					( snake_case ):







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


SCREAMING_SNAKE_CASE__							=		[num for num in range(3, 10_00_01, 2) if not is_prime(num)]

def      __lowercase					( snake_case ):







				"""simple docstring"""






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

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

				return []

def      __lowercase					( ):







				"""simple docstring"""






				return compute_nums(1 )[0]


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














from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


SCREAMING_SNAKE_CASE__      :			Tuple							=		{
    """configuration_table_transformer""": [
        """TABLE_TRANSFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """TableTransformerConfig""",
        """TableTransformerOnnxConfig""",
    ]
}

try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					SCREAMING_SNAKE_CASE__      :			List[str]							=		[
					    """TABLE_TRANSFORMER_PRETRAINED_MODEL_ARCHIVE_LIST""",
					    """TableTransformerForObjectDetection""",
					    """TableTransformerModel""",
					    """TableTransformerPreTrainedModel""",
					]


if TYPE_CHECKING:
					from .configuration_table_transformer import (
					    TABLE_TRANSFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP,
					    TableTransformerConfig,
					    TableTransformerOnnxConfig,
					)

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_table_transformer import (
										    TABLE_TRANSFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
										    TableTransformerForObjectDetection,
										    TableTransformerModel,
										    TableTransformerPreTrainedModel,
										)

else:
					import sys

					SCREAMING_SNAKE_CASE__      :			Union[str, Any]							=		_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)






