The Graham-Conway number is an erroneous version of Graham's number from Conway and Guy's book The Book of Numbers.[1][2] Using up-arrow notation, it is defined as:

\begin{eqnarray*} gc(1) &=& 4 \uparrow\uparrow\uparrow\uparrow 4 \\ gc(k + 1) &=& 4 \underbrace{\uparrow\uparrow\uparrow\cdots\uparrow\uparrow\uparrow}_{gc(k) \text{ arrows}} 4 \\ gc(64) &=& \text{Graham-Conway number} \end{eqnarray*}

It can be represented as \(\{4,65,1,2\}\) in BEAF.

It is Exactly \(\ [4,4,4,64]\) in the Graham Array Notation.

The Graham-Conway number is larger than Graham's number.


  1. Munafo, Robert. Large Numbers - page 4. Retrieved 2014-06-15.
  2. Saibian, Sbiis. 3.2.11 - Graham's NumberOne to Infinity. Retrieved 2014-06-15.

See alsoEdit

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