Well we all know (or don't) that 2^^4 is 65536 or 2^16.
Next tetration of 2 is 2^^5 which is 2^65536 which is big.
But smol for me.
So I calculated its exact value.
However.....
It would be stupid to calculate it by doing multiplication in base 10 cuz base 10 is stupidly stupid in expressing large numbers.
So I used Base 32 which allowed me with ease calculate multiplication by just multiplying 2 digits by itself & remember about 0s.
First I converted 65536 to the Base 10 by doing wacky ass diving by 32.
Final number I got was
2000 in base 32 which is great.
Cuz 32^3 * 2 equals 2^16.
So now instead multiplying by 2 65536 times.
I multiplied 65536 by itself to get 2^32 by simple exponentiation rules.
Next I multiplied 2^32 by 2^32 which is basically (2^32)^2
By that we're going to get 2^64
I repeated entire process until I got 2^2^2^2^2 or 2^2^16 or 2^65536 or 2^2000 in base 32
After an hour of counting different powers of 2 i reached to my goal 2^2000 in base 32
Which is 2 * 10^12 in base 32 if you want to calculate exact value in base 10 well count 32^12 * 2 I guess.
How unsatisfying I know.
It's just 2000000000000 in base 32 but just imagine how big this number is in our number base.
So next number which I'm gonna calculate is.....
2 to the tetration of 10!
Which is basically 2*10^12 ^ 2*10^12 which should give us 10th tetration of 2.
I hope you liked this article if not well.... there's no dislike button so...... I just wastes your time I guess.
Have a gr8 day anyway!
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