# - Erik Spiller and Keon Massey The Concept of Chess.

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- Erik Spiller and Keon Massey The Concept of Chess

Sissa Ben Dahir According to legend, Sissa Ben Dahir invented the game of chess which impressed King Shirham so much he offered him the reward of his choosing. Sissa Ben Dahir requested one grain on the first square, two grains on the second square, four on the third, eight on the fourth, and kept the pattern for all sixty-four squares. The king accepted and granted Sissa Ben Dahir his wish.

Square number, n 1234567 Number of grains wheat on square n 1248163264 Total number of grains of wheat on squares 1 through n 11 + 2 3 3 + 4 7 7 + 8 15 15 + 16 31 31 + 32 63 63 + 64 127 Wheat on chess Board

How many grains of wheat are on the chessboard? If all 64 squares of the chessboard are piled high with wheat as requested, how many grains of wheat are on the board?

A grain of wheat weighs approximately 0.00008

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