By ==C.P. Willians== 1964
nth prime = 1+∑i=02n(n∑j=1i(cosπ(j−1)!+1j)2)1n1+\sum_{i=0}^{2^n} (\frac{n}{\sum_{j=1}^i (cos{\pi\frac{(j-1)!+1}{j}})^2})^\frac{1}{n}1+∑i=02n(∑j=1i(cosπj(j−1)!+1)2n)n1
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