1962 followed by 1963
1962 (MCMLXII) was a common year starting on Monday of the Gregorian calendar, the 1962nd year of the Common Era (CE) and Anno Domini (AD) designations, the 962nd  year of the 2nd millennium, the 62nd  year of the 20th century, and the  3rd   year of the 1960s decade.  
The year saw the Cuban Missile Crisis, which is often considered the closest the world came to a nuclear confrontation during the Cold War.