This sequence is constructed from the sum of successive pairs of primes. The next number is 30.
2+3 = 5
3+5 = 8
5+7 = 12
7+11 = 18
11+13 = 24
13+17 = 30
17+19 = 36
19+23 = 42
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Just add each pair of consecutive prime numbers to find the next number.
It is very likely, however, that this solution is not unique.
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The nest number in the sequence is 18. Note that the difference between each number and the next number in the sequence follows the simple sequence of 1,2,3,4. Obviously the next in the sequence of increases is 5, so 13+5=18.
92 - 18 = 72 72 - 16 = 56 56 - 14 = 42 42 - 12 = 30 30 - 10 = 20 20 is the next number in the sequence.
12, 8
The rule for this sequence appears to be adding consecutive prime numbers. The sequence starts with 3, then adds the next prime number 2 to get 4. It then adds 3 (the next prime number) to 4 to get 7, then 5 to 7 to get 12, and so on. Each number in the sequence is the sum of the previous number and the next prime number in order.
It is obvious that 7 is added to get the next number from the previous one.