Out[]=
Definition
Let one grain of wheat be placed on the first square of a chessboard, two on the second, four on the third, eight on the fourth, etc. How many grains total are placed on an
8×8
chessboard? Since this is a geometric series, the answer for
n
squares is
n-1
∑
i0
i
2

n
2
-1,
a Mersenne number. Plugging in
n8×864
then gives
64
2
-118446744073709551615
.
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Out[]=
18 quintillion 446 quadrillion 744 trillion 73 billion 709 million 551 thousand 615