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i know the number on the 64th square!

by Jonah
(United states)

9,223,372,036,854,775,808
I used my computer calculator 'cause my regular one is too small.
I counted the number of square's (64) and doubled the number's 64 times!

Comments for i know the number on the 64th square!

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Rating
starstarstarstar 		Thank you for your Contribution Jonah
by: Socrates

Great job in calculating the number!
Now that you have written it the question is:
"Can we read this number?" ;-)
Rating
starstarstarstarstar 		The number on the 64th square
by: Jason

... is 2^64, which equals 18,446,744,073,709,551,616, as mentioned in the article. Sorry Jonah.
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starstarstarstarstar 		Correction ...
by: Anonymous

The number on the 64th square is 2^63, not 2^64
Why? Because there was 1 grain on the first, 2 on the second, 4 on the third i.e. 2^0, 2^1, 2^2

That being said it is still one enormous amount of rice!!
Rating
starstarstarstarstar 		Total amount of Rice
by: Matt

The total amount of rice on the board is equal to 2^64 - 1
Rating
starstarstar 		Jonah is correct
by: Ghimfella

Raising two to the power of 64 would be correct if the first square had two grains of rice.

The person who compiled this page is using the wrong assumption, and not looking carefully at the chart he or she has copied and pasted. The twentieth square on the charted chessboard has roughly half a million grains, not a million as claimed.
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starstarstarstarstar 		Square
by: Anonymous

I live in 65th square
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starstarstarstarstar 		The number on the 64th square
by: Anonymous

The number is: 9,223,372,036,854,780,000
not: 9,223,372,036,854,775,808

I used excel and made a spread sheet:
1
2
4
8
16
32
64
128
256
512
1,024
2,048
4,096
8,192
16,384
32,768
65,536
131,072
262,144
524,288
1,048,576
2,097,152
4,194,304
8,388,608
16,777,216
33,554,432
67,108,864
134,217,728
268,435,456
536,870,912
1,073,741,824
2,147,483,648
4,294,967,296
8,589,934,592
17,179,869,184
34,359,738,368
68,719,476,736
137,438,953,472
274,877,906,944
549,755,813,888
1,099,511,627,776
2,199,023,255,552
4,398,046,511,104
8,796,093,022,208
17,592,186,044,416
35,184,372,088,832
70,368,744,177,664
140,737,488,355,328
281,474,976,710,656
562,949,953,421,312
1,125,899,906,842,620
2,251,799,813,685,250
4,503,599,627,370,500
9,007,199,254,740,990
18,014,398,509,482,000
36,028,797,018,964,000
72,057,594,037,927,900
144,115,188,075,856,000
288,230,376,151,712,000
576,460,752,303,423,000
1,152,921,504,606,850,000
2,305,843,009,213,690,000
4,611,686,018,427,390,000
9,223,372,036,854,780,000
Rating
starstarstarstarstar 		repeated squaring
by: Anonymous

quicker to start with 2 and square it 6 times.
Rating
starstarstarstarstar 		I ran a python code and i got a completely different answer
by: Anonymous

import time
BigList = []
NewNum = 1
for x in range(1,65):
print NewNum,"* ",2,"= ",NewNum*2
print "Square Number",x
print
NewNum = NewNum*2
BigList.append(NewNum)
BigList.insert(0,1)
NewNum = 0
for x in BigList:
NewNum = NewNum+x
print NewNum

If you have a python interpreter, this will tell you all you need to know. I think that you did not include the last square (accoreding to my data)

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