# This shouldn't be possible

Number Theory Level 4

For what value of $$x$$ in the equation

$$\lfloor{x^{3^n}} \rfloor$$

give primes for all positive integer values of $$n$$? Give to the nearest thousandth.

Edit: I just realised that this is only possible if Riemann's Hypothesis is true. Pretend that it is. Sorry.

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