A refresh address is generated with a refresh period for refreshing a memory device with refresh leveraging. A respective refresh is performed on a weak cell having a first address when the refresh address is a second address instead of on a first strong cell having the second address. A respective refresh is performed on one of the first strong cell or a second strong cell having a third address when the refresh address is the third address. Address information is stored for only one of the first, second, and third addresses such that memory capacity may be reduced. In alternative aspects, a respective refresh is performed on one of a weak cell, a first strong cell, or a second strong cell depending on a flag when the refresh address is any of at least one predetermined address to result in refresh leveraging.