Created a function with roots at primes and only primes, are there useful applications? – math.stackexchange.com

Created a function with roots at primes and only primes, are there useful applications? – math.stackexchange.com

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Here's the function I created (I have a very long proof too): $$(-1)^{\dfrac{4\Gamma( (x-1)(1-(\lceil x\rceil-\lfloor x\rfloor)+1) )+4}{(x-1)(1-(\lceil x\rceil-\lfloor x\rfloor))+1}}-1,\quad x>1$$ ...

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