





def 							__snake_case							(    lowerCAmelCase_	)				->						list[int]:

    if num <= 0:
        raise ValueError('''Input must be a positive integer'''	)

    SCREAMING_SNAKE_CASE__											=			[True] * (num + 1)

    SCREAMING_SNAKE_CASE__											=			2
    while p * p <= num:
        if primes[p]:
            for i in range(p * p ,							num + 1 ,							lowerCAmelCase_	):
                SCREAMING_SNAKE_CASE__											=			False
        p += 1

    return [prime for prime in range(2 ,							num + 1	) if primes[prime]]


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  _A					:				Any				=			int(input("""Enter a positive integer: """).strip())
  print(prime_sieve_eratosthenes(user_num))


"""simple docstring"""

from math import asin, atan, cos, radians, sin, sqrt, tan

SCREAMING_SNAKE_CASE_            =    6_3_7_8_1_3_7.0
SCREAMING_SNAKE_CASE_            =    6_3_5_6_7_5_2.3_1_4_2_4_5
SCREAMING_SNAKE_CASE_            =    637_8137




def      lowercase__    (       lowerCAmelCase					:       float			,					lowerCAmelCase					:       float			,					lowerCAmelCase					:       float			,					lowerCAmelCase					:       float			)			->   float:






    """simple docstring"""




    UpperCAmelCase          =       (AXIS_A - AXIS_B) / AXIS_A
    UpperCAmelCase          =       atan((1 - flattening) * tan(radians(lowerCAmelCase			)			)			)
    UpperCAmelCase          =       atan((1 - flattening) * tan(radians(lowerCAmelCase			)			)			)
    UpperCAmelCase          =       radians(lowerCAmelCase			)
    UpperCAmelCase          =       radians(lowerCAmelCase			)
    # Equation
    UpperCAmelCase          =       sin((phi_a - phi_a) / 2			)
    UpperCAmelCase          =       sin((lambda_a - lambda_a) / 2			)
    # Square both values
    sin_sq_phi *= sin_sq_phi
    sin_sq_lambda *= sin_sq_lambda
    UpperCAmelCase          =       sqrt(sin_sq_phi + (cos(lowerCAmelCase			) * cos(lowerCAmelCase			) * sin_sq_lambda)			)
    return 2 * RADIUS * asin(lowerCAmelCase			)


if __name__ == "__main__":
   import doctest

   doctest.testmod()



