Question 14
We say that 13 positive integers form a *special* group if the numbers of the group are consecutive.
a) Determine the number of special groups for which the sum of their elements is a three-digit perfect square.
b) Find the maximum number of primes in a special group.
a) Determine the number of special groups for which the sum of their elements is a three-digit perfect square.
b) Find the maximum number of primes in a special group.