3, 5
5, 7
11, 13
17, 19
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For a 2-digit prime number (which are all odd) to be the sum of two prime numbers, one of the prime numbers will have to be 2. That means the difference between the sum and the other addend will have to be 2. Prime numbers that differ by 2 are called twin primes. There are six pairs of 2-digit twin primes. Your numbers are 13, 19, 31, 43, 61 and 73.
There are seven: 2,3 3,5 5,7 11,13 17,19 29,31 41,43
The prime numbers between 43 and 53 are 47 and 53.
2,4,6,8,10,12,14,15,16,18,20,21
prime numbers between 12 and18: 13, & 17