High Quality Content by WIKIPEDIA articles! The wheat and chessboard problem is a mathematical problem. 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? To solve this, observe that a chess board is an 8x8 square, containing 64 squares. If the amount doubles on successive squares, then the sum of grains on all 64 squares is: T_{64} = 1 + 2 + 4 + cdots + 2^{63} = sum_{i=0}^{63} 2^i = 2^{64} - 1 , This equals 18,446,744,073,709,551,615. This problem (or a variation of it) demonstrates the quick growth of exponential sequences.

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