One of the numbers does not belong to the group. Identify the number.
$5, 17, 65, 257, 1027$

5

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17

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65

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1027

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Solution

The correct option is B $1027$
$5 = 2^{2} + 1 : 17 = 2^{4} + 1$
$65 = 2^{6} + 1; 257 = 2^{8} + 1$
but $1027 \neq 2^{10} + 1$

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