How can you find the wrong number in series 1, 3, 5, 7, 12, 17, 19?

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How can you find the wrong number in series 1, 3, 5, 7, 12, 17, 19?

So, which number is wrong? Well, the OEIS comes to the rescue! First, it could be 19 that’s wrong. There are several series that contain the series without 19, see here although none of them start with 1, 3, 5. Maybe 17 is wrong? 12 could be wrong, but not for the reasons given so far. (And some of these do start with 1, 3, 5 …) How about 5? It could be wrong!

How can you find the wrong number in series 1, 3, 5, 7, 12, 17, 19?

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