4 ms·

> and is an integer How could a median prime factor not be an integer?

• nextaccountic 3y ago
  The median value of [1, 2, 3, 4] is 2.5
  • addaon 3y ago
    Sure, but 2 is the only even prime, so this is super constrained.
  • andrewflnr 3y ago
    That's the mean.
    • saagarjha 3y ago
      And it’s also the median.
      • necovek 3y ago
        Depends if you are looking at a mean closed to integers or not: one can define a mean without rational or real numbers.
  • CrazyStat 3y ago
    But the median of [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4] is 2. As the individuals observed values collect more and more repetitions—as they do when making a list of the second prime factor, for example—it becomes increasingly unlikely that the median will be between two values, not equal to one of the values. It would be surprising if the median second prime factor was not a prime.
    • deleted 3y ago
      [deleted]