Correct. The two sums are unequal because m is not equal to k. In fact, you cannot even begin to compare the two unless you express m in terms of k which is how you derived m to begin with. You ask which is larger - what do you think? Of course the summation involving k is larger since m starts at k=2 and not k = 1. This kind of mathematics demonstrates conclusively that you are all amateurs. Your statement that each and every summand in one series also appears in the other is false. Now unless you admit to your mistakes, I have nothing further to add. Finally, I could care less about your warnings or violations. You have already blocked me several times. I can simply come back under another IP at any time I wish. Is it not true that you are all fools? So what is this going to mean? Another violation because I am the only one more intelligent than all of you nincompoops. I have nothing but the utmost contempt and disdain for all of you starting with the chief idiot Prof. Hardy, followed by the pompous ignoramus who originally wrote this article (Ksmrq), not to mention your little nitwits such as Jitse Niesen (or whatever he is called) and Melchoir. Eat shit and die fools!