# Bremen numbers

Algebra Level 5

For some positive integers $$n$$, there exists a polynomial in $$n$$ variables whose image is exactly the set of the real positive numbers (note that 0 is not included in this set). The values of $$n$$ verifying that property are called Bremen numbers.

Find the sum of all the Bremen numbers smaller than or equal to 30.

Submit 0 as your answer if you believe that there does not exist any Bremen number smaller than or equal to 30.

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