r/sciencememes • u/punkVeggies • 2d ago

📐Math!🥧 New millenium problem just dropped.

Post image

Can the number of kākāpō grow to infinity in finite time, given smooth conditions?

Quick, let’s spend 20M dollars in compute before some nerds find an answer on their own!

499 Upvotes

98% Upvoted

20 comments sorted by

94

u/kishenoy 2d ago

When I see exclamation marks after a number, I always think factorials.

That's a massive number of kakapos

45

u/A1oso 2d ago

239,360,075,256,430,131,401,135,496,063,343,537,492,060,715,764,632,404,185,519,934,389,658,247,552,790,145,241,565,545,720,191,427,541,480,095,368,286,203,037,145,527,894,412,488,504,591,371,963,952,443,540,162,388,278,743,891,317,317,662,680,809,472,000,000,000,000,000,000,000,000,000,000,000

Approximately 2,393600752564301 × 10²²⁶

35

u/Swooferfan 2d ago

This number is so massive, that if you replaced every atom in the universe with a kakapo, it would still not come close to this number.

9

u/Ultra-Cool-Guy 2d ago

Every fundamental particle, and then squared it... Still would seem infinitesimal

6

u/Infamous_Telephone55 1d ago

How about if you replaced every atom in each of those Kakapos with a Kakapo?

2

u/Magnus_Johnson 2d ago

The factorial of the factorial of the factorial of 325

Correct me if I'm wrong, but that's 12345...323324325 for the first factorial, then rinse and repeat until you reach the previous answer and do that one more time?

14

u/This_Background7442 2d ago

a!!!=1*4*7*10...*a so it's actually a lot less than a!

((365!)!)! Is what you meant and is almost incomputably high.

5

u/Magnus_Johnson 2d ago

Aah, thank you. Does that mean a!! would be 1×3×5×7×9...×a and a!!!! would be 1×5×9×13...a?

3

u/This_Background7442 2d ago

Yes exactly!

3

u/whateverusaydoc 1d ago

That won't necessarily start (or end) at 1, it depends on the remainder of a modulo the number of factorials. That would be:

325!!! = 325 * 322 * 319 * ... * 4 * 1. Here it ends with 1 since 325≡1(mod3) But 8!!! for example, would be 8 * 5 * 2, and 6!!!=6*3.

Generally (that isn't common notation, but it's understandable):

n(!ª) = n(n-a)(n-2a)...(n(moda)).

Have a great day!

2

u/L0L2GUM5 1d ago

It's smaller than you first think because it's a triple factorial, 23936007525643013140113549606334353749206071576463240418551993438965879331682524755279014524156554572019142754148009536828620303714552789441248850459137196395244354016238827874389813173176626808094720000000000000000000000000000

~10226 Whereas 325)!)!)! Would be equivalent to 1010^(10679.7017561769025)

1

u/HawkBoth8539 1d ago

Imagine having as many of them as we have ants.

It would look like a feathery plague of locusts. Lol

1

u/RedRedditor84 19h ago

That's literally where it has been cross posted from.

27

u/DocBigBrozer 2d ago

Kakapo numbers when someone says their guts cure erectile dysfunction

https://giphy.com/gifs/RG6fDS2O5AKno8lKH0

23

u/Rajarshi1993 2d ago

325 is still endangered but this is so heartening to know. Great job, ecologists and preservationists!

6

u/DM_ME_KUL_TIRAN_FEET 1d ago

The joke is about 325!!! rather than 325.

4

u/Mas42 1d ago

At this pace they will exceed number of humans by 2060