1. The problem statement, all variables and given/known data Does R/Z under addition has an infinite number of elements of order 4? Where R denotes the real numbers and Z denotes the integers. 3. The attempt at a solution Yes. Consider the cosets p/4+Z for primes p greater than 2. Since there are an infinite number of primes, there are an infinite number of such cosets. But the answer says no for this question.