code: 
  
  
  
  
  
  import math
  from itertools import permutations
  
  
  def 		_SCREAMING_SNAKE_CASE    (   lowerCAmelCase__	):
  
  
  
  
  		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(lowerCamelCase__	) + 1	)       ,6	):
  				if number % i == 0 or number % (i + 2) == 0:
  						return False
  		return True
  
  
  def 		_SCREAMING_SNAKE_CASE    (   lowerCAmelCase__       ,lowerCAmelCase__	):
  		lowerCamelCase_	,			lowerCamelCase_  :    str   	=			0, len(lowerCamelCase__	) - 1
  		while left <= right:
  				lowerCamelCase_  :    Tuple   	=			(left + right) // 2
  				if prime_list[middle] == target:
  						return True
  				elif prime_list[middle] < target:
  						lowerCamelCase_  :    Optional[Any]   	=			middle + 1
  				else:
  						lowerCamelCase_  :    Union[str, Any]   	=			middle - 1
  
  		return False
  
  
  def 		_SCREAMING_SNAKE_CASE    (   ):
  		lowerCamelCase_  :    str   	=			[n for n in range(10_01       ,1_00_00       ,2	) if is_prime(lowerCamelCase__	)]
  		lowerCamelCase_  :    Optional[Any]   	=			[]
  
  		for number in prime_list:
  				lowerCamelCase_  :    Dict   	=			[]
  
  				for prime_member in permutations(list(str(lowerCamelCase__	)	)	):
  						lowerCamelCase_  :    List[Any]   	=			int(''.join(lowerCamelCase__	)	)
  
  						if prime % 2 == 0:
  								continue
  
  						if search(lowerCamelCase__       ,lowerCamelCase__	):
  								tmp_numbers.append(lowerCamelCase__	)
  
  				tmp_numbers.sort()
  				if len(lowerCamelCase__	) >= 3:
  						candidates.append(lowerCamelCase__	)
  
  		lowerCamelCase_  :    Optional[Any]   	=			[]
  		for candidate in candidates:
  				lowerCamelCase_  :    List[str]   	=			len(lowerCamelCase__	)
  				lowerCamelCase_  :    Union[str, Any]   	=			False
  
  				for i in range(lowerCamelCase__	):
  						for j in range(i + 1       ,lowerCamelCase__	):
  								for k in range(j + 1       ,lowerCamelCase__	):
  										if (
  										    abs(candidate[i] - candidate[j]	)
  										    == abs(candidate[j] - candidate[k]	)
  										    and len({candidate[i], candidate[j], candidate[k]}	) == 3
  										):
  												passed.append(
  												    sorted([candidate[i], candidate[j], candidate[k]]	)	)
  												lowerCamelCase_  :    Dict   	=			True
  
  										if found:
  												break
  								if found:
  										break
  						if found:
  								break
  
  		lowerCamelCase_  :    Optional[Any]   	=			set()
  		for seq in passed:
  				answer.add(''.join([str(lowerCamelCase__	) for i in seq]	)	)
  
  		return max(int(lowerCamelCase__	) for x in answer	)
  
  
  if __name__ == "__main__":
  		print(solution())
  
  
  
style_context: 
  
  
  
  
  
  from ...configuration_utils import PretrainedConfig
  from ...utils import logging
  
  
  _lowercase		:     Dict 					=logging.get_logger(__name__)
  
  _lowercase		:     Any 					={
      """dandelin/vilt-b32-mlm""": """https://huggingface.co/dandelin/vilt-b32-mlm/blob/main/config.json"""
  }
  
  
  
  
  
  
  class 	UpperCamelCase_     (     snake_case__       ):
  					_a			:	List[str]							=				'vilt'
  
  
  
  					def __init__(		self    :    int					,			lowerCamelCase    :    Any=3_05_22					,			lowerCamelCase    :    Union[str, Any]=2					,			lowerCamelCase    :    Optional[Any]=2					,			lowerCamelCase    :    str=40					,			lowerCamelCase    :    List[str]=7_68					,			lowerCamelCase    :    Optional[int]=12					,			lowerCamelCase    :    List[Any]=12					,			lowerCamelCase    :    List[str]=30_72					,			lowerCamelCase    :    Union[str, Any]="gelu"					,			lowerCamelCase    :    int=0.0					,			lowerCamelCase    :    str=0.0					,			lowerCamelCase    :    int=0.02					,			lowerCamelCase    :    Union[str, Any]=1E-12					,			lowerCamelCase    :    Dict=3_84					,			lowerCamelCase    :    List[str]=32					,			lowerCamelCase    :    Dict=3					,			lowerCamelCase    :    List[str]=True					,			lowerCamelCase    :    int=-1					,			lowerCamelCase    :    List[Any]=False					,			lowerCamelCase    :    Any=-1					,			**lowerCamelCase    :    str					,			):
  							super().__init__(tie_word_embeddings=lowerCamelCase					,			**lowerCamelCase	)
  
  							lowerCamelCase_  :    str   	=			vocab_size
  							lowerCamelCase_  :    Dict   	=			type_vocab_size
  							lowerCamelCase_  :    str   	=			modality_type_vocab_size
  							lowerCamelCase_  :    Optional[Any]   	=			max_position_embeddings
  
  							lowerCamelCase_  :    List[Any]   	=			hidden_size
  							lowerCamelCase_  :    Union[str, Any]   	=			num_hidden_layers
  							lowerCamelCase_  :    Any   	=			num_attention_heads
  							lowerCamelCase_  :    List[Any]   	=			intermediate_size
  							lowerCamelCase_  :    Union[str, Any]   	=			hidden_act
  							lowerCamelCase_  :    Any   	=			hidden_dropout_prob
  							lowerCamelCase_  :    Optional[int]   	=			attention_probs_dropout_prob
  							lowerCamelCase_  :    Any   	=			initializer_range
  							lowerCamelCase_  :    str   	=			layer_norm_eps
  
  							lowerCamelCase_  :    Optional[Any]   	=			image_size
  							lowerCamelCase_  :    List[Any]   	=			patch_size
  							lowerCamelCase_  :    Tuple   	=			num_channels
  							lowerCamelCase_  :    Optional[Any]   	=			qkv_bias
  							lowerCamelCase_  :    Optional[int]   	=			max_image_length
  							lowerCamelCase_  :    Optional[Any]   	=			num_images
  