




import math
def 		a_       (   __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 		a_       (   __lowerCAmelCase = 2_00_00_00							):
  return sum(num for num in range(3      ,   __lowerCAmelCase      ,   2							) if is_prime(__lowerCAmelCase							)							) + 2 if n > 2 else 0


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







__magic_name__     :     dict[str, float]  							=					{
    "kilogram": 1,
    "gram": pow(10, 3),
    "milligram": pow(10, 6),
    "metric-ton": pow(10, -3),
    "long-ton": 0.0009842073,
    "short-ton": 0.0011023122,
    "pound": 2.2046244202,
    "stone": 0.1574731728,
    "ounce": 35.273990723,
    "carrat": 50_00,
    "atomic-mass-unit": 6.022_136_652E26,
}

__magic_name__     :     dict[str, float]  							=					{
    "kilogram": 1,
    "gram": pow(10, -3),
    "milligram": pow(10, -6),
    "metric-ton": pow(10, 3),
    "long-ton": 1016.04608,
    "short-ton": 907.184,
    "pound": 0.453592,
    "stone": 6.35029,
    "ounce": 0.0283495,
    "carrat": 0.0002,
    "atomic-mass-unit": 1.660_540_199E-27,
}
def 		a_       (   __lowerCAmelCase      ,   __lowerCAmelCase      ,   __lowerCAmelCase							):
  if to_type not in KILOGRAM_CHART or from_type not in WEIGHT_TYPE_CHART:
    lowerCAmelCase__								=			(
        F"""Invalid 'from_type' or 'to_type' value: {from_type!r}, {to_type!r}\n"""
        F"""Supported values are: {', '.join(__lowerCAmelCase							)}"""
    )
    raise ValueError(__lowerCAmelCase							)
  return value * KILOGRAM_CHART[to_type] * WEIGHT_TYPE_CHART[from_type]


if __name__ == "__main__":
      import doctest

      doctest.testmod()

