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The number of grains of wheat on the first half of the chessboard is 1 + 2 + 4 + 8 + ... + 2,147,483,648, for a total of 4,294,967,295 (2 32 − 1) grains, or about 279 tonnes of wheat (assuming 65 mg as the mass of one grain of wheat).
The ancient Indian Brahmin mathematician Sissa (also spelt Sessa or Sassa and also known as Sissa ibn Dahir or Lahur Sessa) is a mythical character from India, known for the invention of Chaturanga, the Indian predecessor of chess, and the wheat and chessboard problem he would have presented to the king when he was asked what reward he'd like for that invention.
Mathematics – Answer to the wheat and chessboard problem: When doubling the grains of wheat on each successive square of a chessboard, beginning with one grain of wheat on the first square, the final number of grains of wheat on all 64 squares of the chessboard when added up is 2 64 −1 = 18,446,744,073,709,551,615 (≈1.84 × 10 19).
It's given as "On the entire chessboard there would be 2**64 - 1 = 18,446,744,073,709,551,615 grains". But iinm 2**64 is the number of grains on the last square, not the sum of the grains on all squares.
Wheat and chessboard problem This page was last edited on 10 April 2013, at 23:38 (UTC). Text is available under the Creative Commons Attribution ...
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