Little Graham

Little Graham (also called Graham-Rothschild NumberLarge Numbers (page 4) at MROB) is \(F^{7}(12)\), where \(F(n) = 2 \uparrow^{n} 3\) using up-arrow notation. It is the original version of Graham's number. Ronald Graham published a paperGraham, R. L. and Rothschild, B. L. "Ramsey's Theorem for n-Parameter Sets." Trans. Amer. Math. Soc. 159, 257-292, 1971. showing that this is an upper bound for a problem in Ramsey theory, and the number now known as Graham's number is an alternate easier-to-explain version of Little Graham. Sbiis Saibian coined the name "Little Graham", and Robert Munafo coined the name "Graham-Rothschild Number".
It is exactly \(\ [2,3,12,7]\) in the Graham Array Notation.
== Two first layers of Little Graham ==
Below we show the dismemberment of the first two layers of Little Graham using Bower's original Hyper-Operator Notation where {n} represents exponentiation when {3}, tetration when {4}, pentation when {5}, and so on.
== Sources ==
de:Graham-Rothschild-Zahl
ja:小グラハム数
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Eponymous numbers
Category:Powers of 2
Category:Linear omega level