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Old 2007-03-07, 03:28   #111
petrw1
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171 =
172 = 44 * 4 - 4
173 =
174 = 44 * 4 - √4

Yes, I took the two easy ones ... I'm still trying the other two

Last fiddled with by petrw1 on 2007-03-07 at 03:29
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Old 2007-03-08, 10:05   #112
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Quote:
Originally Posted by petrw1 View Post
171 =
172 = 44 * 4 - 4
173 =
174 = 44 * 4 - √4

Yes, I took the two easy ones ... I'm still trying the other two
Back in post #10 of this thread, Wacky proposed an "interesting" rule we've followed since then:
Quote:
Originally Posted by Wacky View Post
And just to keep it "interesting", no skipping around. :)
You have to wait to post "7" until someone posts a solution for 6", etc.
Posting "better" solutions for smaller numbers is fine.
So, we need 171 before proceeding further. :-)

Last fiddled with by cheesehead on 2007-03-08 at 10:08
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Old 2007-03-08, 18:03   #113
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I did not find anything without gamma...

171 = gamma(gamma(4)) / √.4~ - 4/.4~

173 = gamma(gamma(4)) + (4! - .4~)/.4~

Edit: going further:

175 = ((4 + 4!) / .4) / .4
176 = 44 * (√4 + √4)

Last fiddled with by Andi47 on 2007-03-08 at 18:05
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Old 2007-03-22, 01:30   #114
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We move on after 177:

177 = ((√4 / .4)! - √4) / √.4~
178 = (4 * 44) + √4
179 = ((4 + √4)! - 4) / 4
180 = 4 + (4 * 44)

Last fiddled with by fetofs on 2007-03-22 at 01:41 Reason: using fancy sqrt symbol
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Old 2007-03-22, 01:38   #115
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Some better solutions (note that I consider too many square roots to be ugly):

Quote:
164 = √(√(√(4^4!)))) / .4 + 4
165 = (√4+ √(√(√(4^4!))))) / .4
170 = (√(√(√(4^4!))) + 4) / .4
164 = (√4 / .4)! + 44
165 = 44 / (.4 * √.4~)
170 = (4! + 44) / .4

Last fiddled with by fetofs on 2007-03-22 at 01:41
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Old 2007-03-22, 02:11   #116
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I suggest you allow two additional functions, sum and subfacorial.

S4 = 4+3+2+1= 10 (I do not have a sigma on my computer)
!4= 9

These are sometimes accepable in this game.
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Old 2007-03-22, 05:51   #117
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181 = ((√4 / .4)! + √.4~)/√.4~
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Old 2007-03-22, 13:03   #118
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181 = (4 + (4 + sqrt(4))!) / 4
182 = ((4 + sqrt(4))! / 4) + sqrt(4)
183 = (sqrt(4) + (sqrt(4) / .4)!) / sqrt(.4~)
184 = 4 * (sqrt(4) + 44)

Is 185 possible?
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Old 2007-03-22, 20:25   #119
petrw1
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Quote:
Originally Posted by fetofs View Post

Is 185 possible?
I didn't think 181 or 183 was possible ... but you proved me wrong.

So I won't try to guess if 185 is possible.
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Old 2007-03-22, 21:04   #120
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I did not find anything without gamma.

185 = gamma(gamma(4)) + √(√(√(4^4!))) + gamma(√4))

Quote:
Originally Posted by PrimeCrazzy View Post
I suggest you allow two additional functions, sum and subfacorial.

S4 = 4+3+2+1= 10 (I do not have a sigma on my computer)
!4= 9

These are sometimes accepable in this game.
You can get the gamma function for positive integers quite easily:

gamma(n) = (n-1)!

examples:

gamma(√4) = 1! = 1
gamma(4) = 3! = 6
gamma(gamma(4)) = 5! = 120
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Old 2007-03-23, 02:51   #121
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You can also get 185 by using the sum and subfactorial functions ad follows:

(sum(sum4))*sqrt (4 subfactorial)+sum4+sum4
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