The decker is 10 tetrated to 10 (or equivalently 10 pentated to 2), or {10,10,2} in BEAF.[1] The term was coined by Jonathan Bowers.

Informally, the number is one followed by "one followed by "one followed by "one followed by "one followed by "one followed by "one followed by "one followed by ten billion zeroes" zeroes" zeroes" zeroes" zeroes" zeroes" zeroes" zeroes. It is also 10 pentated to 2, as \(n \uparrow^{k} n = n \uparrow^{k+1} 2\). The number's name is probably a reference to the SI prefix deca- for 10, which is itself derived ultimately from the Ancient Greek word δέκα, meaning 10.

In terms of recursion, decker is on par with the larger numbers giggol (10 tetrated to 100 = {10,100,2}) and grangol (E100#100), although decker is much smaller.

This number is also called dekalogue by Sbiis Saibian; it is E1#10 in Hyper-E notation.[2][3] This number can also be called "megafugaten" using Alistair Cockburn's megafuga- prefix.

Aarex Tiaokhiao calls this number digcol.[4] Visual representations

Sources Edit

  1. Template:Citation/CS1
  2. Template:Citation/CS1
  3. Sbiis Saibian's Ultimate Large Numbers List
  4. Part 1 (LAN) - Aarex Googology
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