Discussion
The run below is governed by one rule from beginning to end. Settle on the rule the terms obey and give the next number.
37, 41, 43, 47, 53, ?
Answer: C
Correct answer: 59
The gaps run 4, 2, 4, 6 and settle into no pattern at all, so no arithmetic step will fit. The terms are the prime numbers in order, each having no divisor but itself and one. The next prime after 53 is 59. As a check, every number between 53 and the answer has a divisor other than itself and one, so none of them could be the next term. A number is prime when it has no divisor but itself and one, so each candidate can be tested directly rather than recalled.
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