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If a chessboard were to have wheat placed upon each square such that one grain were placed on the first square, two on the second, four on the third, and so on (doubling the number of grains on each subsequent square), how many grains of wheat would be on the chessboard at the finish? The problem may be solved using simple addition.
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.
English: Illustration of "Wheat and chessboard problem" and "Second half of the chessboard" exa E 1000000000000000000 10 18; peta P 1000000000000000 10 15; tera T 1000000000000 10 12; giga G 1000000000 10 9; mega M 1000000 10 6; kilo k 1000 10 3
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).
For example, the 2nd edition of The Art of Computer Programming, Volume 1, offered $2.00. The reward for coding errors found in Knuth's TeX and Metafont programs (as distinguished from errors in Knuth's books) followed an audacious scheme inspired by the wheat and chessboard problem , [ 10 ] starting at $2.56, and doubling every year until it ...
Also, there is a guideline that says that formulas should not be in the lead whenever possible, especially in an article like this with a lot of beginner readers. Done Sparkie82 (t • c) 04:13, 17 March 2012 (UTC) 4. Add a "derivative problems" section (e.g., how much would it weigh?; how big would the chessboard need to be?, etc.)
A mathematical chess problem is a mathematical problem which is formulated using a chessboard and chess pieces. These problems belong to recreational mathematics.The most well-known problems of this kind are the eight queens puzzle and the knight's tour problem, which have connection to graph theory and combinatorics.
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