Hard Number Series Puzzle

What number comes next in the series?

5 15 5 18 5 24 14 20 _




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A number with an interesting property:

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When I divide it by 4, the remainder is 3.
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When I divide it by 8, the remainder is 7.
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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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