User blog comment:Simplicityaboveall/The Construction of Extremely Large Numbers/@comment-11227630-20160726150520/@comment-25912386-20160728164450

Hi Hyp cos ! Your comment is appreciated. From this very site, I have learned the following :

w ^^ w = e(0)

e(1) = (w ^^ w) ^^ w  approx. w ^^ w2

e(2) = e(1) ^^ w approx. w ^^ w3,  etc

So, R(w,10)( 10 ^^ 11 ) is w ^^ ( w + 1).

I do agree that some concise deffinitions are needed, but i know that my work does not contradict Mathematics. Take care man !