if i put 1 grain of rice on the first square 2 on second & keep doubling how many on 64th square?

Question

THINK OF A CHESS BOARD WITH 64 SQUARES

Answer 1

2^0 = 1 grain on the first square
2^1 = 2 on the second square
2^2 = 3 on the third square
2^3 = 4 on the fourth square
...
2^63 on the 64th square
(exponent is always one less than the # of Square 1 to 64)

Answer = 2^63
grains of rice on the 64th Square.

Note: Do not subtract 1.
2^63 is not the same as 2^64 - 1
[Other versions of this question start with either 2 on the
first square, so there are 2^64 on the last Square; or they
ask for the total sum of all the grains on all 64 Squares.]

To calculate:
2^63 = (2^7)^9
= (128)^9
= (128^3)^3
= 2097152^3
= 9223372036854775808

This is the same as calculating
= (128)^9
= 9223372036854775808

Note: Mr. Sceptic gives the right final answer, but the explanation is wrong unless he changes it.
It is NOT (2^64)-1 and it is NOT the total sum of the Squares.
The first answer and my answer are both correct, 2^63.

The first answer was originally a verbal comment only, but it was changed later to the correct answer, but does not give an explanation unless it is changed again. The other answers are wrong unless they are corrected later.

Answer 2

The total number of rice grains is (2^64) - 1

This is the sum of 1 + 2^1 + 2^2 + ... + 2^63.

2^63 is the number of grains on the 64th square.

Answer 3

I've heard this questioin before and it was suggested that the answer was greater than the number of all the grains of sand on the seashores of the world! I remember that that was somewhere in the region of 70 with 19 zeros following it. (although my friend said it must be wrong because she brought some sand home from Blackpool - lol)
By the way the grains of rice would fit on the chessboard unless it was VERY big - lol again
- And there are more stars in the sky - 70 with 29 zeros after it

Answer 4

using a calculator, If square one is 1 (2/\0) and square 2 is 2(2/\1) then square 64 is 2/\63 or 9,223,372,036,854,775,808. which is about 9 quintillion.

Answer 5

on the sixty fourth sq. of the chessboard there could be precisely 2 to the capacity of sixty 3 = 9,223,372,036,854,775,808 grains of rice. In finished, on the completed chessboard there could be precisely 2 to the capacity of sixty 4 ? a million = 18,446,744,073,709,551,615 grains of rice. to place that for the period of attitude, purely the 2d a million/2 of the Chessboard could weigh 6 cases the completed Biomass of Earth.

Answer 6

This is the legend of chess :)
It is 1+2+2^2+2^3+......2^63 (because 1=2^0)
The sum is 2^2016+1

Answer 7

The original legend says enough to cover the whole of the Indian sub continent under 5 feet of rice.

Answer 8

9223372036854775808

lol if you dont get ^ its just 1 times 2 ....then answer time 2..... 64 times

Answer 9

2^63

Answer 10

More than grains of sand in all the deserts of the world...an old question answered before...a normal calculator doesn't go that far....and I don't know the exact number.