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Let 6 Arithmetic means A1, A2, A3, A...

Let ` 6 ` Arithmetic means ` A_1, A_2, A_3, A_4, A_5, A_6 ` are inserted between two consecutive natural number ` a and b (a > b). ` If ` A_1^2 - A_2^2 + A_3^2 - A_4^2 + A_5^2 - A_6^2 ` is equal to prime number then 'b' is equal to

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