Tower of Hanoi is a mathematical game or puzzle. It is also called as Tower of Brahma that is known as End of Universe game. The earliest recorded reference of Tower of Hanoi is in 1883 from Edouard Lucas who is a French mathematician. The game has interesting story; In the great temple of Brahma in Benares of India, there is a brass plate with three diamond needles under the dome that marks the center of the world. At the creation, God placed 64 discs of pure gold in the order of their sizes, from largest to smallest. This is the Tower of Brahma.
Day and night unceasingly the priests of the temple move the discs from one diamond needle to another according to the fixed and immutable rules listed below;
Only one disc can be moved at a time
A disc can be placed on a larger disc (or no smaller disc below)
Third needle is used temporarily
When the all discs are moved from one needle to another one forming the Tower of Brahma but on a different needle, then will come the end of the universe and all will turn to dust.
If there are n discs on the Tower, minimum of 2n-1 moves are required. Since there are 64 discs in The Tower of Brahma, minimum required moves are 18,446,744,073,709,551,615. At one move per second with the assumption of right moves every time, reforming the Tower with 64 discs will take about;
30,744,573,456,182.58 minutes,
or 512,409,557,603.043 hours,
or 213,503,982,334,601.3 days
or 584,942,417,355.072 years
or 5,849,424,173.55 centuries