Huw Powell, who suffers from dementia, was last seen leaving his home in Ketley at around 8.20am on December 5. Officers believe he may be trying to make his way to Powys by foot.
Mr Powell is described as 6ft 2ins tall and of a thin build, with grey hair. He was last seen wearing a blue coat, dark jeans, dark smart shoes and light coloured scarf.
Anyone who has seen Mr Powell, or a person matching his description, is asked to contact West Mercia Police on 101 quoting reference 381s of 5 December, or the Missing People helpline on 116 000.