Series Que...

What is the next number in the series?

15 29 56 108 208 ?




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You are given 2 eggs.
You have access to a 100-storey building.
Eggs can be very hard or very fragile means it may break if dropped from the first floor or may not even break if dropped from 100th floor, Both eggs are identical.
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Now the question is how many drops you need to make. You are allowed to break 2 eggs in the process

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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.