Hard Logic Sequence Puzzle

Complete the following series. It.s very logical:

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




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Mathematically
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A number with an interesting property:

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When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.

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When I looked for a smaller number with this property I couldn't find one.

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There are nine letters in the below-given diagram. You have to form a nine-letter word using these letters.

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Crossword puzzles

In the 1920s, people feared that crossword puzzles would contribute to illiteracy.