


def 	SCREAMING_SNAKE_CASE_						(			__A			:      Union[str, Any] = 1_00_00_00    )     ->		int:

       """simple docstring"""

       a_ :		Optional[int]							=  limit + 1
       a_ :		Dict							=  [0] * limit
       for first_term in range(1  ,   lowerCAmelCase_    ):
              for n in range(lowerCAmelCase_  ,   lowerCAmelCase_  ,   lowerCAmelCase_    ):
                     a_ :		Any							=  first_term + n / first_term
                     if common_difference % 4:  # d must be divisble by 4
                            continue
                     else:
                            common_difference /= 4
                            if (
                                first_term > common_difference
                                and first_term < 4 * common_difference
                            ):  # since x,y,z are positive integers
                                   frequency[n] += 1  # so z>0 and a>d ,also 4d<a

       a_ :		Optional[Any]							=  sum(1 for x in frequency[1:limit] if x == 10    )

       return count


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






from __future__ import annotations

UpperCAmelCase_				:			Dict   =	[True] * 100_0001
UpperCAmelCase_				:			Any   =	2
while i * i <= 100_0000:
   if seive[i]:
      for j in range(i * i, 100_0001, i):
         UpperCAmelCase_				:			Tuple   =	False
   i += 1







def 	SCREAMING_SNAKE_CASE_						(      __A			:      int    )     ->		bool:

       """simple docstring"""

       return seive[n]







def 	SCREAMING_SNAKE_CASE_						(      __A			:      int    )     ->		bool:

       """simple docstring"""

       return any(digit in '02468' for digit in str(__A    )    )







def 	SCREAMING_SNAKE_CASE_						(      __A			:      int = 1_00_00_00    )     ->		list[int]:

       """simple docstring"""

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







def 	SCREAMING_SNAKE_CASE_						(      )     ->		int:

       """simple docstring"""

       return len(find_circular_primes()    )


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


