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Number Theory Level 1

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.