"""simple docstring"""







import math



def       A__    (	lowercase_     :	int						)  ->							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(lowercase_						) + 1						)      , 6						):
      if number % i == 0 or number % (i + 2) == 0:
         return False
   return True



def       A__    (	lowercase_     :	int = 1000      , lowercase_     :	int = 1000						)  ->							int:
   __lowerCamelCase    		=					[0, 0, 0]  # length, a, b
   for a in range((a_limit * -1) + 1      , lowercase_						):
      for b in range(2      , lowercase_						):
         if is_prime(lowercase_						):
            __lowerCamelCase    		=					0
            __lowerCamelCase    		=					0
            while is_prime((n**2) + (a * n) + b						):
               count += 1
               n += 1
            if count > longest[0]:
               __lowerCamelCase    		=					[count, a, b]
   __lowerCamelCase    		=					longest[1] * longest[2]
   return ans


if __name__ == "__main__":
     print(solution(1_0_0_0, 1_0_0_0))










"""simple docstring"""






from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_torch_available,
    is_vision_available,
)


lowercase  		=			{
    """configuration_mobilevitv2""": [
        """MOBILEVITV2_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """MobileViTV2Config""",
        """MobileViTV2OnnxConfig""",
    ],
}


try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					lowercase  		=			[
					    """MOBILEVITV2_PRETRAINED_MODEL_ARCHIVE_LIST""",
					    """MobileViTV2ForImageClassification""",
					    """MobileViTV2ForSemanticSegmentation""",
					    """MobileViTV2Model""",
					    """MobileViTV2PreTrainedModel""",
					]

if TYPE_CHECKING:
					from .configuration_mobilevitva import (
					    MOBILEVITV2_PRETRAINED_CONFIG_ARCHIVE_MAP,
					    MobileViTVaConfig,
					    MobileViTVaOnnxConfig,
					)

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_mobilevitva import (
										    MOBILEVITV2_PRETRAINED_MODEL_ARCHIVE_LIST,
										    MobileViTVaForImageClassification,
										    MobileViTVaForSemanticSegmentation,
										    MobileViTVaModel,
										    MobileViTVaPreTrainedModel,
										)

else:
					import sys

					lowercase  		=			_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)





