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Old 2005-09-30, 01:00   #56
rogue
 
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Do you believe that there is a solution for all of these?
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Old 2005-09-30, 01:04   #57
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Quote:
Originally Posted by Ken_g6
Basically, that sentence allowing 4! and repeating decimals is gone in mine, and the ! key is allowed generally.
I think repeated decimals should be allowed, or else the book wouldn't claim solutions up to 130 (while there's no solution for 93 I have found on the net).

Last fiddled with by fetofs on 2005-09-30 at 01:12
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Old 2005-09-30, 01:22   #58
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((4 - .4)sq+4sq)/.4sq=181
((4+4!)sq+4!)/4=202

Last fiddled with by fetofs on 2005-09-30 at 01:25
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Old 2005-09-30, 01:37   #59
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176 = 4 * 44
172 = 4 * 44 - 4
180 = 4 * 44 + 4
200 = 4 * 44 + 4!
250 = 4sqsq - 4!/4
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Old 2005-09-30, 03:15   #60
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Quote:
Originally Posted by rogue
Do you believe that there is a solution for all of these?
No. I rather doubt that many, if any, can be solved. But I thought that about 113, too.

fetofs: That's the first time I've seen a solution that produces, then subtracts away .4. I'll see if I can find any other uses for that.

And I never saw anything about repeating decimals until I searched the internet. But the book could be wrong.
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Old 2005-09-30, 05:39   #61
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A few solutions in 3/4 time:

54 = 4!*4!sq/4sq[sup]sq[/sup]

58 = (4sq[sup]sq[/sup]-4!)/4

102 = 4sq[sup]sq[/sup]*.4-.4

166 = 4!/.4sq+4sq

196 = (4!+4)sq/4

Last fiddled with by cheesehead on 2005-09-30 at 05:48
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Old 2005-09-30, 13:02   #62
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214=(4+4)sq+4!/.4sq
294=((4/.4)sq-4sq)sq/4!
269=(.4+4sq)sq+.4sq/4

Last fiddled with by Wacky on 2005-10-02 at 01:50 Reason: Removed List of Unsolved
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Old 2005-09-30, 13:54   #63
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249 = (4!/.4(4))sq - 4!
209 = (4!/.4(4))sq - 4sq
221 = (4!/.4(4))sq -4
225 = (4!/.4(4))sq
229 = (4!/.4(4))sq + 4
241 = (4!/.4(4))sq + 4sq
249 = (4!/.4(4))sq + 4!

204 = (4!sq+4sqsq)/4-4
207 = (4!sq+4sqsq-4)/4
208 = (4!sq+4sqsq)/4
209 = (4!sq+4sqsq+4)/4
210 = (4!/.4+4!)/.4
212 = (4!sq+4sqsq)/4+4
216 = 4sqsq-4!-4sq
220 = 4sqsq -4sq -4sq-4

Most of the solutions near 256 are easy just use 256-x where x uses 3 4's.

Also Found a pretty one for 180

4! + 4! + 4!
-----------
.4

Last fiddled with by grandpascorpion on 2005-09-30 at 14:00
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Old 2005-09-30, 14:24   #64
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Quote:
Originally Posted by fetofs
And, impressingly enough: [snip]
4*(.4+4!)+.4=98
Sorry for the misinformation! Should've let the programme run over the complete range and not entering each unknown candidate seperately. You get a slipping one too easily.

Benjamin
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Old 2005-09-30, 14:59   #65
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I dub fetofs the Four-Four King.
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Old 2005-09-30, 15:17   #66
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Here are the ones Wacky listed as missing, that I've found. It takes a while to pull them out of the cross-linked Excel file I make them in. Groupings show how I got some of the numbers.

171 = ((4-4/4)sq+4)sq

175 = (4!+4)/.4sq
179 = (4!+4)/.4sq+4

144 = 4!sq/4
168 = 4!sq/4+4!
184 = 4!sq/4+4!+4sq

192 = 4sq[sup]sq[/sup]-4sq[sup]sq[/sup]/4
188 = 4sq[sup]sq[/sup]-4sq[sup]sq[/sup]/4-4

150 = 4!/.4sq
174 = 4!/.4sq+4!
190 = 4!/.4sq+4!+4sq


191 = (4!+4)/.4sq+4sq

193 = 4sq[sup]sq[/sup]-(4sq[sup]sq[/sup]-4)/4

196 = 4sq[sup]sq[/sup]-4!/.4
195 = 4sq[sup]sq[/sup]-(4!+.4)/.4

197 = 4sq[sup]sq[/sup]-(4!-.4)/.4

198 = 4!/.4sq+4!+4!

199 = (4!+4)/.4sq+4!

200 = (4sq+4sq)/.4sq
201 = (4sq+4sq+.4sq)/.4sq

204 = (4sq+4sq)/.4sq+4

207 = 4sq[sup]sq[/sup]-4/.4sq-4!

208 = 4sq[sup]sq[/sup]-4!-4!

209 = (4!/(4*.4))sq-4sq

100 = (4/.4)sq
84 = (4/.4)sq-4sq
210 = ((4/.4)sq-4sq)/.4

212 = 4sq[sup]sq[/sup]-44

231 = 4sq[sup]sq[/sup]-4/.4sq
215 = 4sq[sup]sq[/sup]-4/.4sq-4sq

232 = 4sq[sup]sq[/sup]-4!
216 = 4sq[sup]sq[/sup]-4!-4sq

219 = 4sq[sup]sq[/sup]-(4!sq+4sq)/4sq

220 = 4sq[sup]sq[/sup]-4!sq/4sq

221 = (4!/(4*.4))sq-4

222 = 4sq[sup]sq[/sup]-4/.4-4!

224 = 4sq[sup]sq[/sup]-4sq-4sq

225 = (4!/(4*.4))sq
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