Aarex's Array Notation is my main notation I will use for large numbers. You can find the other extensions in my site.

It is going to be original. I will never, ever stealing ideas.


Simple AAN (sAAN) is the first extension of AAN. First, I will introduces the main rules and definition.


I go with definition first. The people will say 'What is the definition' if I am going with main rules first.

The definition of sAAN is a notation that expressed as a(A), where A is non-negative integers separated by the comma. The first entry is base and the second entry is co-base. The rest of the entries expressed as a hashtag and new copies of the group remain the same.

Main rules

  • a(a,b,0) = ab
  • a(#,0)[1] = a(#)
  • a(a,b,c,#)[1] = a(a,b,c,#)
  • a(a,b,c,#)[d] = a(a,a(a,b,c,#)[d-1],c,#)
    • New copies of old # remain the same.
  • a(a,b,c,#) = a(a,b,c-1,#)[d]

Process rules

If all of main rules doesn't apply, we start at the fourth entry in the process, where it can be found below this sentence.

  • Case A: If the entry is 0, move to the next entry.
  • Case B: Else, decrease the entry by 1 and change the previous entry to co-base. The process ends.


Coming soon!

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