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

Ken_g6 2007-05-12 00:52

292=(4!*4!)/√(4)+4

The [i]odd[/i]s don't seem to be good up around this range.:unsure:

Ken_g6 2007-05-12 16:36

Aha. Things got easier once I got the hang of Γ and %.

293 = Γ(4)/((√4)%)-Γ(4)-Γ(√4)
294 = ((√4)/.4)!/.4~+4!
295 = Γ(4)/((√4)%)-4-Γ(√4)

Hint: I have solutions up to 308 at this point. But that's all four now. :cool:

Andi47 2007-05-12 17:37

296 = (√4 / .4)! / .4 - 4
297 = Γ(4) / ((√4)%) - 4 + Γ(√4) = Γ(4) / ((√4)%) - √4 / √.4~
298 = (√4 / .4)! / .4 - √4
299 = (√4 / .4)! / .4 - Γ(√4)

wpolly 2007-05-13 11:04

300=4<sup>4</sup>+44
301=(√(4/.4)!+.4)/.4
302=√(4/.4)!/.4+√4
303=(Γ(Γ(4))+.4+.4)/.4

Andi47 2007-05-13 12:52

304 = 4[sup]4[/sup] + 4! * √4
305 = ((√4 / .4)! + √4) / .4

Ken_g6 2007-05-13 16:58

[QUOTE=wpolly;105960]301=(√(4/.4)!+.4)/.4[/QUOTE]Then I can de-gammify 299 as:

299=(√(4/.4)!-.4)/.4

The next four I have all have percents, and some have gammas, but I guess I'll continue and let someone else de-gamma/percent-ify them:

306 = √4 / √(.4~)% + 4! / .4
307 = Γ(4) / √(4)% + Γ(4) + Γ(√4)
308 = √4 / √(.4~)% + 4 + 4
309 = √4 / √(.4~)% + 4 / .4~

Edit: I just checked with 200 Up, and found no solutions not involving % for those four numbers. :sad:

Andi47 2007-05-13 17:33

gamma, gamma...
 
310 = ((√4 / .4)! + 4) / .4
311 = ΓΓ(4) / .4 + √(Γ(√4) + ΓΓ(4)) (EXTREME gamma...)
312 = 4! * (4! + √4) / √4
313 = √(√4 - 4%) / .4~% - √4

Ken_g6 2007-05-13 18:27

I think my 311 is a little better:
311 = (Γ(4))! * .4 - Γ(√4) + 4! (less EXTREME gamma...)

But I'll wait awhile before continuing, in case anyone else wants to.

Ken_g6 2007-05-15 00:42

OK, it's later...

314 = (Γ4)! * .4~ - 4 - √4
315 = (((√4)/.4)! + Γ4)/.4
316 = 4^4 + 4!/.4
317 = (Γ4)! * .4~ - 4 + Γ(√4) (Not very original, but over 300 I'll takes what I gets.)

Andi47 2007-05-15 05:20

318 = .4 * Γ(4)! + 4! + Γ(4) = (4!/4)! * .4~ - √4
319 = .4~ * Γ(4)! - 4/4
320 = .44~ * (4 + √4)! = .4~ * (√4 + √4 + √4)!

Ken_g6 2007-05-19 00:05

It's been a quiet week. Maybe things will pick up this weekend?

321 = .4~ * (Γ4)! + 4/4 = .4~ * (4!/4)! + Γ(√4) (Pick your gamma...)
322 = .4~ * (4!/4)! + √4
323 = .4~ * (Γ4)! + 4 - Γ(√4)
324 = (4! * 4!) / (4 * .4~)


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