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-   -   Four Fours (https://www.mersenneforum.org/showthread.php?t=7051)

Andi47 2007-04-15 07:02

Nobody fo(u)r 277?

Richard Cameron 2007-04-15 09:03

gamma gamma hey!
 
Yes, I was surprised when this thread dried up at a relatively easy bit.

But it's given me time to catch up. So:
277 = (gamma(gamma(4)) + 4)/.4~ - √4
278 = 4^4 + 4! - √4

errr I haven't come up with a 279 that is essentially different to those two.

But i did find the rather silly

276 = (4!)! / (4!-√4)! / √4


Richard

Andi47 2007-04-15 09:12

279 = 4[sup]4[/sup] + 4! - Γ(√4)

or gamma-less:
279 = ((√4 / .4)! + 4)/.4~
280 = 4[sup]4[/sup] + (√4+√4)!
281 = 4[sup]4[/sup] + 4! +Γ(√4)
282 = 4[sup]4[/sup] + 4! + √4

Richard Cameron 2007-04-17 13:13

all variations on existing themes:

283 = (ΓΓ(4)-Γ(4))/.4 -√4
284 = 4!^√4/√4 -4
285 = ((√4/.4)!-Γ(4))/.4
286 = (ΓΓ(4)-4)/.4 -4

Andi47 2007-04-17 19:27

de-gamma'ing 286:

286 = (4![sup]√4[/sup] - 4) / √4

going on:
287 = (4! * 4! - √4) / √4
288 = (4! * 4!) / (4 - √4)
289 = (4! * 4! + √4) / √4
290 = (4! * 4! + 4) / √4

Andi47 2007-04-21 17:29

four days with no fours? 291 is up fo(u)r grabs...

m_f_h 2007-04-23 14:16

the fun is somehow spoiled by knowing that there are web pages with solutions up to 40 000 and maybe more.

petrw1 2007-04-23 15:16

[QUOTE=m_f_h;104365]the fun is somehow spoiled by knowing that there are web pages with solutions up to 40 000 and maybe more.[/QUOTE]

Not really...

First, every website I have seen has a different set of allowed operations.

Second, I suggest that the fun for most of us is solving it for ourselves without checking the websites....who knows maybe we'll find a more interesting answer than they have.

Andi47 2007-04-23 15:38

[QUOTE=petrw1;104372]Not really...

First, every website I have seen has a different set of allowed operations.

Second, I suggest that the fun for most of us is solving it for ourselves without checking the websites....who knows maybe we'll find a more interesting answer than they have.[/QUOTE]

And we have already found at least one solution where the EXTREME four fours page did give a solution with our standard operations or gamma / %

291 still up fo(u)r grabs...

m_f_h 2007-04-27 15:49

[quote=Andi47;104376]the EXTREME four fours page did give a solution with our standard operations or gamma / %[/quote]
??? did not ? AND gamma ?

PS: I said well " *somehow* spoiled ", which is my impression, even if I agree of course with what you replied (not looking at, and finding better)

nuggetprime 2007-05-02 14:11

It's sooooo easy to find a soulition with 200Up:

291=(-(4+√(4))% + √(4))/(√(.4~))%

nuggetprime


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