Gongulus is equal to \(\{10,10 (100) 2\}\) in BEAF.[1] It is equivalent to solving a centeract (a 100-dimensional analog of the cube) of 10s with sidelength 10, and can thus be written 10100 & 10 using the array of operator. It has googol 10's. The term was coined by Jonathan Bowers.

In the article "Why Does God Exist?",[2] Bowers makes a mention of "minus gongulus", making it the least real number explicitly mentioned on his site.


Notation Approximation
Bird's array notation \(\{10,10 [101] 2\}\) (exact value)
Cascading-E notation \(\textrm{E}10\#\text{^}\#\text{^}\#100\)
Hyperfactorial Array Notation \(10![1,[1,1,101],1,2]\)
X-Sequence Hyper-Exponential Notation \(10\{X^{X^X}\}100\)
Fast-growing hierarchy \(f_{\omega^{\omega^{100}}}(10)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{100}}}}(10)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega^{\Omega^{99}\omega})}(10)\)


  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
  2. Bowers, Jonathan. Why Does God Exist?. Retrieved 3 June 2014.

See also

Gongulus and related numbers
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