Sum of Squares

Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?




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It is a six-letter word.
The first four letters are me.
The second and last letters are the same.
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There was once a college that offered a class on probability applied to the real world. The class was relatively easy, but there was a catch. There were no homework assignments or tests, but there was a final exam that would have only one question on it. When everyone received the test paper it was a blank sheet of paper with a solitary question on it: 'What is the risk?'.Most students were able to pass, but only one student received 100% for the class! Even stranger was that he only wrote down one word!
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1, 4, 5, 6, 7, 9, 11, __?

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Amazing Facts

Gambling

In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.