Lmst

#Googology

Loader's Number

https://googology.fandom.com/wiki/Loader%27s_number

#HackerNews #Number #googology #mathematics #numbertheory #mathnerd

Update #3: Big update! I've gone through a huge chunk of my bookmarks and added 116 links to #math-themed resources to my site's links page, mostly sites I've bookmarked while engaging with my current hyperfixation around #PrimeNumbers.

If you're interested in #Googology, #Primes, #DistributedComputing searches for prime numbers, #Factoring, #PrimalityProving, or #RecreationalMathematics, check these out!

https://moule.world/links.html

#Maths #Links #InfoDumping

Screenshot showing my links page on my mostly navy-blue-coloured website.

There are drop-down menus for 88x31 buttons, earth and climate change, libraries, mathematics, and space and astronomy.

The new mathematics drop-down in turn has drop-down menus for googology and really big numbers, prime numbers, miscellaneous mathematics, and recreational mathematics.

Not shown here are even more drop-down menus in the prime number drop-down menu, which include distributed computing projects for prime numbers, factoring, primality testing, and miscellaneous prime number resources.

Be sure to check your kids' Halloween candy this year! I just found Graham's Number hiding in a chocolate bar.

#Math #GrahamsNumber #Googology

Picture of a chocolate bar split in half with a visualisation of Graham's Number in between the split pieces. This number is unimaginably huge, but can be understood with Knuth's up-arrow notation, starting with 3 (four up arrows) 3. Simply put, imagine:

3 (one up arrow) 3 = 3 raised to the power of itself, AKA 27.
3 (two up arrows) 3 = 3 raised to the power of itself 3 times, AKA 7,625,597,484,987.
3 (three up arrows) 3 = 3 raised to the power of itself 7,625,597,484,987 times.
3 (four up arrows) 3 = 3 raised to the power of itself 3-raised-to-the-power-of-itself-7,625,597,484,987-times. There are more digits in this number than Planck lengths (smallest physically possible length) in the observable universe.

Let's give 3 (four up arrows) 3 the name "g1". Then imagine g2 has two threes separated by g1 number of arrows. Then imagine g3 has two threes separated by g2 number of arrows. Repeat this operation until you get to g64, which has g63 number of arrows. This is Graham's Number.

#FunFact - "zootzootplex" is a real term for ðe number equal to
googolplex^((googolplex - 1)^((googolplex - 2)^.......^(3^(2^1))...))
where a googolplex is of course 10^googol

(& yes, ðere's also a zootzootzootplex!!!)

#googology #math #language #cursed #til #today

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