Hard Logic Sequence Puzzle

Complete the following series. It.s very logical:

1, 4, 5, 6, 7, 9, 11, __?




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On whole it means a person suffering from delusions of greatness.

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You and your two friends are working in a multinational company. How can you three find out the average salary of you all without disclosing your own salary to the other two?

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Can you find the next number in the below sequence
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Amazing Facts

Challenging

There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.