


import math

def 		snake_case_   (				lowercase__     :    int     ):






				'''simple docstring'''






				if not isinstance(lowercase__       ,     lowercase__     ):
								_lowerCAmelCase  						=f"Input value of [number={number}] must be an integer"
								raise TypeError(lowercase__     )
				if number < 1:
								_lowerCAmelCase  						=f"Input value of [number={number}] must be a positive integer"
								raise ValueError(lowercase__     )
				_lowerCAmelCase  						=[number]
				while number != 1:
								if number % 2 == 0:
												_lowerCAmelCase  						=math.floor(math.sqrt(lowercase__     )     )
								else:
												_lowerCAmelCase  						=math.floor(
												    math.sqrt(lowercase__     ) * math.sqrt(lowercase__     ) * math.sqrt(lowercase__     )     )
								sequence.append(lowercase__     )
				return sequence


if __name__ == "__main__":
		import doctest

		doctest.testmod()





from __future__ import annotations

import math
from itertools import permutations

def 		snake_case_   (				lowercase__     :    int     ):






				'''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 		snake_case_   (				lowercase__     :    int = 7     ):






				'''simple docstring'''






				_lowerCAmelCase  						="""""".join(str(lowercase__     ) for i in range(1       ,     n + 1     )     )
				_lowerCAmelCase  						=[int("""""".join(lowercase__     )     ) for i in permutations(lowercase__       ,     lowercase__     )]
				_lowerCAmelCase  						=[num for num in perm_list if is_prime(lowercase__     )]
				return max(lowercase__     ) if pandigitals else 0


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

