The number 2 is all over this........................the two ways of writing 2 to the i.....................from my convoluted math system...........i.e.........making a triangle............starting at 2 on the X axis.............to negative 1........................and have i one unit above - 1...........yields two numbers...................one is the square root of 10......................which is a close approx. for pi.........the other being the square root of 8............which can be simplified to 2 times the square root of 2...............in other words...........two 2s..............

The position of the complex zeros can be seen slightly more easily by plotting the contours of zero real (red) and imaginary (blue) parts, as illustrated above. The zeros (indicated as black dots) occur where the curves intersect. The figures above highlight the zeros in the complex plane by plotting (where the zeros are dips) and (where the zeros are peaks). The above plot shows for between 0 and 60. As can be seen, the first few nontrivial zeros occur at the values given in the following table (Wagon 1991, pp. 361-362 and 367-368; Havil 2003, p. 196; Odlyzko), where the corresponding negative values are also roots. The integers closest to these values are 14, 21, 25, 30, 33, 38, 41, 43, 48, 50, ... (OEIS A002410). The numbers of nontrivial zeros less than 10, , , ... are 0, 29, 649, 10142, 138069, 1747146, ... (OEIS A072080; Odlyzko). Sloane 1 A058303 14.134725 2 21.022040 3 25.010858 4 30.424876 5 32.935062 6 37.586178 The so-called xi-function defined by Riemann has precisely the same zeros as the nontrivial zeros of with the additional benefit that is entire and is purely real and so are