5, 12, 13, 7, 14, 17, 9, 16, 19, 11, 18, 23, __, __, __The given series is a mixture of three different series. Every third number starting with 5 form a series of consecutive odd numbers in increasing order.Every third number starting with 12 form a series of consecutive earn numbers. Similarly, every third number starting with 13 form a series of consecutive prime numbers.5, 7, 9, 11, 13(odd number series) 12, 14, 16, 18, 20 (even number series)13, 17, 19, 23, 29 (prime number series)Hence, the next numbers in the series are 13, 20 and 29.