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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