In this project i will come up with an essential question that i, using my research will attempt to answer. any ideas? thanks in advance!

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## Answers (2)

If you are in High School then something about prime numbers. How many are there? Can you prove it?

If you are an undergrad try showing or showing false that the reals are a vector space over the rational numbers.

If you are a grad student, is there a Banach Tarski paradox in R^ or R^2?

Riemann hypothesis:

en.wikipedia.org/wiki/Riemann_hypo...