Multiple choice general knowledge math & puzzles

Can the mean (average) of 2 consecutive prime numbers be a prime number?

  1. True

  2. False

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The mean of two consecutive primes is (p1 + p2)/2. For all primes greater than 2, primes are odd, so their sum is even and the mean is an integer. However, that integer always lies between the two primes; since there are no primes between consecutive primes, the mean cannot be prime.