Discussion
One entry is missing from the sequence set out below. Discover the pattern and state the value the question mark conceals.
23, 29, 31, 37, 41, ?
Answer: B
Correct answer: 43
The gaps run 6, 2, 6, 4 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 41 is 43. As a check, every number between 41 and the answer has a divisor other than itself and one, so none of them could be the next term. Prime numbers are the most frequent non-arithmetic family in series questions, and their irregular gaps are the giveaway.
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