Numbers which are not the sum of distinct squares: Difference between revisions
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11 * 11 < 128 < 12 * 12. It is also true that we need no square less than 144 (12 * 12) to |
11 * 11 < 128 < 12 * 12. It is also true that we need no square less than 144 (12 * 12) to |
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reduce via subtraction of squares all the numbers above 400 to a number > 128 and < 400 by |
reduce via subtraction of squares all the numbers above 400 to a number > 128 and < 400 by |
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subtracting discrete squares of numbers over 12, since the interval between such squares |
subtracting discrete squares of numbers over 12, since the interval between such squares can |
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well below 128: for example, 14^2 - 15^2 is 29. So, we can always find a serial subtraction |
be well below 128: for example, 14^2 - 15^2 is 29. So, we can always find a serial subtraction |
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of discrete integer squares from any number > 400 that targets the interval between 129 and |
of discrete integer squares from any number > 400 that targets the interval between 129 and |
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400. Once we get to that interval, we already have shown in the program below that we can |
400. Once we get to that interval, we already have shown in the program below that we can |
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