Count Up with the Four Fours Puzzle √4

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emlightened
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Count Up with the Four Fours Puzzle √4

Postby emlightened » Mon Jul 16, 2018 8:54 am UTC

This is a reboot of this old game after I found myself wanting to play it, but not wanting to deal with numbers that large.

In this thread, we count up using the classic four fours puzzle: how high can we get with only four fours. You can use standard arithmetic operations, square root, factorial, and any other operation you can think of (so long as it doesn't involve other numbers and you define it), but please try not to use ceiling or floor. We'll see how high we can go.

You can use the same representation as from the other thread, but try not to copy until you're stuck. Make the numbers however you want!

0 = 44 - 44
Last edited by emlightened on Mon Aug 20, 2018 12:38 pm UTC, edited 1 time in total.

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

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Re: Count Up with the Four Fours Puzzle √4

Postby patzer » Mon Jul 16, 2018 10:11 am UTC

If non-integers are allowed-

4/(4^(4^4) = approx. 3*10-154

If not-

(4-4)^(4^4) = 1
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Re: Count Up with the Four Fours Puzzle √4

Postby emlightened » Mon Jul 16, 2018 9:24 pm UTC

Yeah, we're just doing 0, 1, 2 etc. 4^(-4)^4^(4!) is smaller though :P

2 = 4/4 + 4/4

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

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Re: Count Up with the Four Fours Puzzle √4

Postby flicky1991 » Mon Jul 16, 2018 9:34 pm UTC

3 = 4 - (4/4)^4
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Re: Count Up with the Four Fours Puzzle √4

Postby emlightened » Mon Jul 16, 2018 9:42 pm UTC

4 = 4 * (4-4) + 4

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

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Re: Count Up with the Four Fours Puzzle √4

Postby flicky1991 » Mon Jul 16, 2018 9:44 pm UTC

5 = 4 + (4/4)^4
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Re: Count Up with the Four Fours Puzzle √4

Postby emlightened » Thu Aug 16, 2018 11:06 am UTC

6 = 4 + (4+4)/4

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

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Re: Count Up with the Four Fours Puzzle √4

Postby flicky1991 » Thu Aug 16, 2018 12:03 pm UTC

7 = 4 + 4 - 4/4

emlightened wrote:You can use the same representation as from the other thread, but try not to copy until you're stuck.
The reason why I hadn't posted until now. I was officially stuck - I thought of this one independently of the other thread but saw it was there and couldn't think of another.
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Re: Count Up with the Four Fours Puzzle √4

Postby emlightened » Thu Aug 16, 2018 6:36 pm UTC

8 = (-4) + (-4) + (-4)*(-4)

flicky1991 wrote:
emlightened wrote:You can use the same representation as from the other thread, but try not to copy until you're stuck.
The reason why I hadn't posted until now. I was officially stuck - I thought of this one independently of the other thread but saw it was there and couldn't think of another.
Uh. Hmm. Okay, Imma change that rule. It was meant to be a sort of "try to be more creative than copying, but if you get stuck or come up with the same thing, don't worry".

Thanks for saying so! ^^

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

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Re: Count Up with the Four Fours Puzzle √4

Postby flicky1991 » Thu Aug 16, 2018 6:52 pm UTC

9 = (√4) * (4 + (√4)/4)

First to take advantage of the rules allowing square root.
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Re: Count Up with the Four Fours Puzzle √4

Postby emlightened » Thu Aug 16, 2018 7:19 pm UTC

10 = √44 - 4 - √4

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

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Re: Count Up with the Four Fours Puzzle √4

Postby Actaeus » Fri Aug 24, 2018 12:58 am UTC

11 = 4!/√4 - 4/4

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Re: Count Up with the Four Fours Puzzle √4

Postby flicky1991 » Fri Aug 24, 2018 10:49 am UTC

12 = 4!/((4+4)/4)
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Re: Count Up with the Four Fours Puzzle √4

Postby emlightened » Sat Aug 25, 2018 11:00 pm UTC

13 = (4! + 4/√4) / 4

13 = (4! + 4/√4) / √4
Last edited by emlightened on Mon Aug 27, 2018 6:55 pm UTC, edited 1 time in total.

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

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Re: Count Up with the Four Fours Puzzle √4

Postby flicky1991 » Sun Aug 26, 2018 12:04 am UTC

emlightened wrote:13 = (4! + 4/√4) / 4
I assume that final 4 should be √4?

14 = 4 + √4 + 4*√4
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Re: Count Up with the Four Fours Puzzle √4

Postby emlightened » Mon Aug 27, 2018 7:31 pm UTC

Yep!

15 = √44 - √4/√4

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

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Re: Count Up with the Four Fours Puzzle √4

Postby flicky1991 » Tue Aug 28, 2018 3:03 pm UTC

16 = √44 - 4 + 4
any pronouns
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Re: Count Up with the Four Fours Puzzle √4

Postby username5243 » Sat Jan 19, 2019 2:21 pm UTC

17 = 4*4+4/4
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Re: Count Up with the Four Fours Puzzle √4

Postby thunk » Sun Feb 17, 2019 9:22 pm UTC

18=√4*√4*√4/(.\overline{4})
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