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Based on what is shown, what is the next number in the sequence?

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  • $\begingroup$ It's not really an original puzzle if you can google the title and get the answer. $\endgroup$ – AleksandrH Jun 1 '19 at 0:26
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    $\begingroup$ If this is simply the OEIS sequence already mentioned in an answer, it's not so much a puzzle as it is a bit of math-themed trivia. See Number-Sequence Puzzles: What (Not) To Do? and, in particular, this answer under it, for why this kind of thing is unlikely to fare well here. $\endgroup$ – Rubio Jun 1 '19 at 2:20
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The next number is:

1597

Because this sequence is:

A Prime Fibonacci numbers (A005478) sequence.

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