Marbles in the Box

There is a box full of marbles,
all but two are blue,
all but two are green,
and all but two are red.

How many marbles are in the box?




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When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
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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.