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Number Theory Level pending

Find a two digits of decimal number \(T\) which is the average of 2 consecutive primes (Suppose \(A\) and \(B\) such that \(B>A\)) , And if you convert that number into base 8 or in octal representation, you'll get the larger prime \(B\).

If you subtract \(A\) from \(T\), and \(T\) from \(B\), means \(B-T-A\), you'll get the first prime number means 2.

What is the number?

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