
"""simple docstring"""






from __future__ import annotations

__UpperCAmelCase       =  [True] * 1_00_00_01
__UpperCAmelCase       =  2
while i * i <= 1_00_00_00:
				if seive[i]:
								for j in range(i * i, 1_00_00_01, i):
												__UpperCAmelCase       =  False
				i += 1






def 						_snake_case       (	lowercase__		:  int		)  ->				bool:


			'''simple docstring'''





			return seive[n]






def 						_snake_case       (	lowercase__		:  int		)  ->				bool:


			'''simple docstring'''





			return any(digit in """02468""" for digit in str(lowercase__		)		)






def 						_snake_case       (	lowercase__		:  int = 1_0_0_0_0_0_0		)  ->				list[int]:


			'''simple docstring'''





			lowerCAmelCase_    :Tuple			     =  [2]  # result already includes the number 2.
			for num in range(3      ,     limit + 1      ,     2		):
						if is_prime(lowercase__		) and not contains_an_even_digit(lowercase__		):
									lowerCAmelCase_    :str			     =  str(lowercase__		)
									lowerCAmelCase_    :str			     =  [int(str_num[j:] + str_num[:j]		) for j in range(len(lowercase__		)		)]
									if all(is_prime(lowercase__		) for i in list_nums		):
												result.append(lowercase__		)
			return result






def 						_snake_case       (	)  ->				int:


			'''simple docstring'''





			return len(find_circular_primes()		)


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













import numpy as np


def 	UpperCamelCase__(       UpperCamelCase__			:       np.array  )->np.array:
       return (2 / (1 + np.exp(-2 * vector  ))) - 1


if __name__ == "__main__":
       import doctest

       doctest.testmod()





