Brain Teasers
The Final Number
Series
Series teasers are where you try to complete the sequence of a series of letters, numbers or objects.Series
What is the last number in this series?
2, 3, 6, 7, 8, 11, 12, 15, 18, 19, 22, 23, 24, 27, 28, 31, 32, 33, 43, 44, 47, 48, 60, 67, 72, 76, 92, 96, 108, 112, ???
2, 3, 6, 7, 8, 11, 12, 15, 18, 19, 22, 23, 24, 27, 28, 31, 32, 33, 43, 44, 47, 48, 60, 67, 72, 76, 92, 96, 108, 112, ???
Hint
It has to do with square numbers.Answer
The last number is 128.Altogether, these numbers are impossible to express as the sum of distinct squares. For example, 10 can be expressed because 10 = 9 + 1. 41 can be expressed as 36 + 4 + 1.
It is conjectured that all the numbers in the series are the ONLY numbers that cannot be expressed as the sum of distinct squares.
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