Prime Number Formula XVII

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

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