


'''simple docstring'''



from math import isqrt, loga


def 				lowerCamelCase__				(	A       :      int					):




      '''simple docstring'''






      UpperCAmelCase					    =     [True] * max_number
      for i in range(2				,       isqrt(max_number - 1					) + 1					):
            if is_prime[i]:
                  for j in range(i**2				,       A				,       A					):
                        UpperCAmelCase					    =     False

      return [i for i in range(2				,       A					) if is_prime[i]]


def 				lowerCamelCase__				(	A       :      int = 80_08_00				,       A       :      int = 80_08_00					):




      '''simple docstring'''






      UpperCAmelCase					    =     degree * loga(A					)
      UpperCAmelCase					    =     int(A					)
      UpperCAmelCase					    =     calculate_prime_numbers(A					)

      UpperCAmelCase					    =     0
      UpperCAmelCase					    =     0
      UpperCAmelCase					    =     len(A					) - 1
      while left < right:
            while (
                prime_numbers[right] * loga(prime_numbers[left]					)
                + prime_numbers[left] * loga(prime_numbers[right]					)
                > upper_bound
            ):
                  right -= 1
            hybrid_integers_count += right - left
            left += 1

      return hybrid_integers_count


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









'''simple docstring'''



from .data_collator import (
    DataCollatorForLanguageModeling,
    DataCollatorForPermutationLanguageModeling,
    DataCollatorForSeqaSeq,
    DataCollatorForSOP,
    DataCollatorForTokenClassification,
    DataCollatorForWholeWordMask,
    DataCollatorWithPadding,
    DefaultDataCollator,
    default_data_collator,
)
from .metrics import glue_compute_metrics, xnli_compute_metrics
from .processors import (
    DataProcessor,
    InputExample,
    InputFeatures,
    SingleSentenceClassificationProcessor,
    SquadExample,
    SquadFeatures,
    SquadVaProcessor,
    SquadVaProcessor,
    glue_convert_examples_to_features,
    glue_output_modes,
    glue_processors,
    glue_tasks_num_labels,
    squad_convert_examples_to_features,
    xnli_output_modes,
    xnli_processors,
    xnli_tasks_num_labels,
)





