


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__snake_case     =		{
    '''configuration_prophetnet''': ['''PROPHETNET_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''ProphetNetConfig'''],
    '''tokenization_prophetnet''': ['''ProphetNetTokenizer'''],
}

try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    __snake_case     =		[
        '''PROPHETNET_PRETRAINED_MODEL_ARCHIVE_LIST''',
        '''ProphetNetDecoder''',
        '''ProphetNetEncoder''',
        '''ProphetNetForCausalLM''',
        '''ProphetNetForConditionalGeneration''',
        '''ProphetNetModel''',
        '''ProphetNetPreTrainedModel''',
    ]


if TYPE_CHECKING:
    from .configuration_prophetnet import PROPHETNET_PRETRAINED_CONFIG_ARCHIVE_MAP, ProphetNetConfig
    from .tokenization_prophetnet import ProphetNetTokenizer

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_prophetnet import (
            PROPHETNET_PRETRAINED_MODEL_ARCHIVE_LIST,
            ProphetNetDecoder,
            ProphetNetEncoder,
            ProphetNetForCausalLM,
            ProphetNetForConditionalGeneration,
            ProphetNetModel,
            ProphetNetPreTrainedModel,
        )

else:
    import sys

    __snake_case     =		_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)






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






def 						_A						(						_lowercase = 2_00_00_00				)			->				int:


     """simple docstring"""


     return sum(num for num in range(3			,       _lowercase			,       2				) if is_prime(_lowercase				)				) + 2 if n > 2 else 0


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


