20050930, 01:00  #56 
"Mark"
Apr 2003
Between here and the
6246_{10} Posts 
Do you believe that there is a solution for all of these?

20050930, 01:04  #57  
Aug 2005
Brazil
2·181 Posts 
Quote:
Last fiddled with by fetofs on 20050930 at 01:12 

20050930, 01:22  #58 
Aug 2005
Brazil
2·181 Posts 
((4  .4)^{sq}+4^{sq})/.4^{sq}=181
((4+4!)^{sq}+4!)/4=202 Last fiddled with by fetofs on 20050930 at 01:25 
20050930, 01:37  #59 
Jun 2003
The Texas Hill Country
3^{2}×11^{2} Posts 
176 = 4 * 44
172 = 4 * 44  4 180 = 4 * 44 + 4 200 = 4 * 44 + 4! 250 = 4sqsq  4!/4 
20050930, 03:15  #60  
Jan 2005
Caught in a sieve
5×79 Posts 
Quote:
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. 

20050930, 05:39  #61 
"Richard B. Woods"
Aug 2002
Wisconsin USA
2^{2}×3×641 Posts 
A few solutions in 3/4 time:
54 = 4!*4!^{sq}/4^{sq[sup]sq}[/sup] 58 = (4^{sq[sup]sq}[/sup]4!)/4 102 = 4^{sq[sup]sq}[/sup]*.4.4 166 = 4!/.4^{sq}+4^{sq} 196 = (4!+4)^{sq}/4 Last fiddled with by cheesehead on 20050930 at 05:48 
20050930, 13:02  #62 
Aug 2005
Brazil
2×181 Posts 
214=(4+4)^{sq}+4!/.4^{sq}
294=((4/.4)^{sq}4^{sq})^{sq}/4! 269=(.4+4^{sq})^{sq}+.4^{sq}/4 Last fiddled with by Wacky on 20051002 at 01:50 Reason: Removed List of Unsolved 
20050930, 13:54  #63 
Jan 2005
Transdniestr
503 Posts 
15^2 based answers and more
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)/44 207 = (4!sq+4sqsq4)/4 208 = (4!sq+4sqsq)/4 209 = (4!sq+4sqsq+4)/4 210 = (4!/.4+4!)/.4 212 = (4!sq+4sqsq)/4+4 216 = 4sqsq4!4sq 220 = 4sqsq 4sq 4sq4 Most of the solutions near 256 are easy just use 256x where x uses 3 4's. Also Found a pretty one for 180 4! + 4! + 4!  .4 Last fiddled with by grandpascorpion on 20050930 at 14:00 
20050930, 14:24  #64  
Jan 2003
far from M40
175_{8} Posts 
Quote:
Benjamin 

20050930, 14:59  #65 
Jan 2005
Transdniestr
503 Posts 
I dub fetofs the FourFour King.

20050930, 15:17  #66 
Jan 2005
Caught in a sieve
5·79 Posts 
Here are the ones Wacky listed as missing, that I've found. It takes a while to pull them out of the crosslinked Excel file I make them in. Groupings show how I got some of the numbers.
171 = ((44/4)^{sq}+4)^{sq} 175 = (4!+4)/.4^{sq} 179 = (4!+4)/.4^{sq}+4 144 = 4!^{sq}/4 168 = 4!^{sq}/4+4! 184 = 4!^{sq}/4+4!+4^{sq} 192 = 4^{sq[sup]sq}[/sup]4^{sq[sup]sq}[/sup]/4 188 = 4^{sq[sup]sq}[/sup]4^{sq[sup]sq}[/sup]/44 150 = 4!/.4^{sq} 174 = 4!/.4^{sq}+4! 190 = 4!/.4^{sq}+4!+4^{sq} 191 = (4!+4)/.4^{sq}+4^{sq} 193 = 4^{sq[sup]sq}[/sup](4^{sq[sup]sq}[/sup]4)/4 196 = 4^{sq[sup]sq}[/sup]4!/.4 195 = 4^{sq[sup]sq}[/sup](4!+.4)/.4 197 = 4^{sq[sup]sq}[/sup](4!.4)/.4 198 = 4!/.4^{sq}+4!+4! 199 = (4!+4)/.4^{sq}+4! 200 = (4^{sq}+4^{sq})/.4^{sq} 201 = (4^{sq}+4^{sq}+.4^{sq})/.4^{sq} 204 = (4^{sq}+4^{sq})/.4^{sq}+4 207 = 4^{sq[sup]sq}[/sup]4/.4^{sq}4! 208 = 4^{sq[sup]sq}[/sup]4!4! 209 = (4!/(4*.4))^{sq}4^{sq} 100 = (4/.4)^{sq} 84 = (4/.4)^{sq}4^{sq} 210 = ((4/.4)^{sq}4^{sq})/.4 212 = 4^{sq[sup]sq}[/sup]44 231 = 4^{sq[sup]sq}[/sup]4/.4^{sq} 215 = 4^{sq[sup]sq}[/sup]4/.4^{sq}4^{sq} 232 = 4^{sq[sup]sq}[/sup]4! 216 = 4^{sq[sup]sq}[/sup]4!4^{sq} 219 = 4^{sq[sup]sq}[/sup](4!^{sq}+4^{sq})/4^{sq} 220 = 4^{sq[sup]sq}[/sup]4!^{sq}/4^{sq} 221 = (4!/(4*.4))^{sq}4 222 = 4^{sq[sup]sq}[/sup]4/.44! 224 = 4^{sq[sup]sq}[/sup]4^{sq}4^{sq} 225 = (4!/(4*.4))^{sq} 
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