Prime Number Formula VII

p_n=\log_2\left({2\cdot \displaystyle\prod_{k=1}^{2(\lfloor n\ln(n)\rfloor +1)}}\left( 2-\left\lfloor \frac{1}{n} \cdot \displaystyle\sum_{j=2}^k \left( 1+\left\lfloor \frac{2-j+\displaystyle\sum_{i=1}^{j-1} \left\lfloor \frac{\left\lfloor \frac{j-1}{i} \right\rfloor}{\left\lfloor \frac{j}{i} \right\rfloor} \right\rfloor}{j} \right\rfloor \right)\right\rfloor\right)\right)

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