Estimating pi - Iowa State University
This number contains 0’s in every place except for the n! decimal places. So the 1st, 2nd, 6th, 24th, … decimal places contain 1’s. The next 1 will occur in the 5! = 120th decimal place. In 1850, Liouville proved that this number cannot be a solution of a polynomial equation with integer coefficients and thus is a transcendental number. ................
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