Correct Answer - Option 3 : 53
The logic follows here is:
The given numbers are a pair of prime numbers and their preceding prime numbers.
1713 → 17 & 13 both are prime numbers.
1311 → 13 & 11 both are prime numbers.
117 → 11 & 7 both are prime numbers.
75 → 7 & 5 both are prime numbers.
And the series is decreasing in order.
So, the next number would be pair of 53.
53 → 5 & 3 both are the prime numbers.
Thus, the correct answer is "53".