Hyperoperations | Exponentiation | Tetration | Powertowers | Pentation

[koviyovas]

65, 536
very significant number in computing.

real cool

[cowlitzrez]

2^^^^3 hexation finally becomes too large a number to print. It is 2^^^65, 536.

[echoliang]

After watching some videos, I will try to explain 7 growing levels of making a number bigger. If the explanations aren’t clear, I’m sorry, as I’m only a Gr. 5 student, and I’m only doing this out of boredom.
Here are the levels:
1. Succesion
2. Addition
3. Multiplication
4. Exponentiation
5. Tetration
6. Pentation
7. Hexation

1. Succesion is basically adding 1 to the number, which we will set as A, pretty simple. So if A was 1, then Succesion would simply add 1 to it, therefore the equation would be: 1+1, which equals 2.
2. Addition is repeated Succession. It is adding A and B together, which could also be written as adding 1 to A a B amount of times.
3. Multiplication is repeated edition. It is adding A to B, a C amount of times.
4. Exponentiation is repeated Multiplication. It’s multiplying the answer of A times B, a C amount of times.
5. Tetration is repeated Exponentiation. It is exponentiating A to B, a C amount of times.
6. Pentration is repeated Tetration. It is tetrating A to B, a C amount of times.
7. Hexation is repeated Pentration. It is pentrating A to B, a C amount of times.

Hopefully that made sense, and keep in mind I’m only in Gr. 5.

[PrincePugsJr]

Now try something a little higher, like 3^3...

Exponentiation, it becomes 27.

Tetration gives 7.6 trillion.

Pentation gives a stack of 3s, towering 7.6 trillion copies long. In other words, it is 3³ repeated 7.6 trillion times. Good luck solving that!

[chuckswain]

Would not penyation have a power tower of 2's, 65000 levels high