Conway's Tetratri

Conway's Tetratri, also known as Conway's three-three-three-three is a large number mentioned by John H. Conway in the Book of Numbers as an example of a number larger than Graham's Number using Conway Chain Arrow Notation. Jonathan Bowers' once cited it as "the largest number I've seen in the professional literature" on his original 2002 website.

The number is defined as:

3-->3-->3-->3

Using Conway Chain Arrow Notation. The number is indeed bigger than Graham's Number and it can be proved without much difficultly that:

G(G(26)) < 3-->3-->3-->3 < G(G(27))

Since 64 = 2^6 < 3^27 = 3^^3 < 3^^^^3 = G(1) < G(26), it follows that:

G(64) < G(G(26))