
Re: Prime numbers and pi
Posted:
Apr 16, 2009 10:04 AM


I apologize for my blunder. The stairways don't work in the cases of the infinite products of ln2 and Euler's pi. Only the infinite pi product of Wallis can be given as a stairway:
2 x 3/2
2 x 4/3 x 7/6
2 x 4/3 x 16/15 x 11/10
2 x 4/3 x 16/15 x 36/35 x 15/14
2 x 4/3 x 16/15 x 36/35 x 64/63 x 19/18
The numbers of the last terms increase by four along the slope, and vertically by 1x1, 3x3, 5x5, 7x7 ... Euler must have used other means for estimating and calculating his infinite products.

