Question 75
Let A,B be sets such that:
i) A∪B is the set of positive integers.
ii) A∩B is empty.
iii) If the difference of two positive integers is a prime greater than 2013, one is in A and the other in B.
Find all possibilities for A and B.
i) A∪B is the set of positive integers.
ii) A∩B is empty.
iii) If the difference of two positive integers is a prime greater than 2013, one is in A and the other in B.
Find all possibilities for A and B.