A simple mathematical operation in each number of the sequence 14, 18, 20, 24, 30, 32, ... results in a…
A simple mathematical operation in each number of the sequence 14, 18, 20, 24, 30, 32, ... results in a sequence with respect to prime numbers. Which one of the following is the next number in the sequence?
34
36
38
40
Solution
Subtracting 1 from each term gives 13, 17, 19, 23, 29, 31 — consecutive prime numbers. The next prime after 31 is 37, so the next term is $37 + 1 = 38$.