Five Fives Game

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Re: Five Fives Game

Postby crispybits on Thu Mar 14, 2013 3:41 pm

197 = (Γ5 + 5!!) x 5 + (5 - ⌈√5⌉)
197 = (24 + 15) x 5 + (5 - 3)
197 = 39 x 5 + 2
197 = 195 + 2
197 = 197
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Re: Five Fives Game

Postby Ffraid on Thu Mar 14, 2013 4:00 pm

198 = 5! + 5!!*5 + 5!!/5
198 = 120 + 15*5 + 15/5
198 = 120 + 75 + 3
198 = 198
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Re: Five Fives Game

Postby crispybits on Thu Mar 14, 2013 5:21 pm

199 = (Γ5 + 5!!) x 5 + ⌊√5⌋ + ⌊√5⌋
199 = (24 + 15) x 5 + 2 + 2
199 = 39 x 5 + 4
199 = 195 + 4
199 = 199
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Re: Five Fives Game

Postby Ffraid on Thu Mar 14, 2013 6:00 pm

200 = 5! + 55 + 5*5
200 = 120 + 55 + 25
200 = 200
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Re: Five Fives Game

Postby crispybits on Thu Mar 14, 2013 6:02 pm

201 = (55 + 5 + 5 + ⌊√5⌋) x ⌈√5⌉
201 = (65 + 2) x 3
201 = 67 x 3
201 = 201

Run stays easy for a bit but in 10-15 posts or so we have some tricky prime numbers coming
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Re: Five Fives Game

Postby Ffraid on Thu Mar 14, 2013 9:08 pm

crispybits wrote:201 = (55 + 5 + 5 + ⌊√5⌋) x ⌈√5⌉
201 = (65 + 2) x 3
201 = 67 x 3
201 = 201

Run stays easy for a bit but in 10-15 posts or so we have some tricky prime numbers coming

You used 6 5s for 201.

I hope I can keep up with the prime numbers. I remember being impressed with what you came up with for 157! Maybe someone else will join back in at some point and help us out. ;)
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Re: Five Fives Game

Postby crispybits on Thu Mar 14, 2013 9:29 pm

Damn so I did

OK

201 = (55 + 5!! - ⌈√5⌉) x ⌈√5⌉
201 = (55 + 15 - 3) x 3
201 = 67 x 3
201 = 201

Over to you (next prime is 211 - just checked - and edited out my silly mistake)
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Re: Five Fives Game

Postby Ffraid on Fri Mar 15, 2013 4:02 pm

202 = 5! + 5!!*5 + 5 + ⌊√5⌋
202 = 120 + 15*5 + 5 + 2
202 = 120 + 75 + 5 + 2
202 = 202

Going to be taking off for the weekend. Don't know if I'll have internet access so I may not be on again 'til Monday.

Btw, what ALT Codes are you using for the floor and ceiling functions? I found the left ceiling is ALT 244 and the right floor is ALT 245, but I don't know what the other 2 are. I just copied and pasted from a previous post but I'd like to know. :)
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Re: Five Fives Game

Postby crispybits on Fri Mar 15, 2013 5:54 pm

I just copy paste.

This one stumped me for a while

203 = (Γ5 + 5) x (⌈√5⌉ + ⌊√5⌋ + ⌊√5⌋)
203 = (24 + 5) x (3 + 2 + 2)
203 = 29 x 7
203 = 203

Have a fun weekend - this game will still be here on Monday :)
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Re: Five Fives Game

Postby Ffraid on Sat Mar 16, 2013 9:41 am

Someone brought a hotspot!

204 = 5! + 55 + Γ5 + 5
204 = 120 + 55 + 24 + 5
204 = 204
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Re: Five Fives Game

Postby crispybits on Sat Mar 16, 2013 11:28 am

205 = (Γ5 + 5!! + 5 - ⌈√5⌉) x 5
205 = (24 + 15 + 5 - 3) x 5
205 = 41 x 5
205 = 205
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Re: Five Fives Game

Postby john9blue on Sat Mar 16, 2013 11:35 am

here is a kind of "cheat sheet" for this game... it will reduce the intellectual challenge, so don't read it if you enjoy that:

show


206 = 206
206 = 103*2
206 = (100+3)*2
206 = (5*5*4+3)*2
206 = (5*5*⌈√5!!⌉+⌈√5⌉)*⌊√5⌋
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Re: Five Fives Game

Postby crispybits on Sat Mar 16, 2013 1:14 pm

Yeah it's actually fairly easy to get this until we get to either primes or ridiculoulsy high numbers.

A couple of others that I haven't seen used yet:

5# = 30 (n# is the product of all prime numbers up to and including n)
5$ = 34560 (n$ is the superfactorial, so it's 1! x 2! x 3! x .... x n!) - this one is not so useful on 5, but ⌈√5!!⌉$ (4$) = 288, and ⌈√5⌉$ (3$) = 12

A really boring version but also a bigger challenge would be to see how high we can go only using one 5, so for instance here is the five 5s way for the next one:

207 = (Γ5 + Γ5 + Γ5 - ⌈√5⌉) x ⌈√5⌉
207 = (24 + 24 + 24 - 3) x 3
207 = 69 x 3
207 = 207

But, we could also do:

207 = ⌊√√√√√√√⌈√√√⌊√√√√⌈√√√√√⌈√√√⌈√√⌈√√⌈√√√⌊√5!⌋!⌉!⌉!⌉!!⌉!⌉!!⌋!⌉!!⌋
207 = ⌊√√√√√√√⌈√√√⌊√√√√⌈√√√√√⌈√√√⌈√√⌈√√⌈√√√10!⌉!⌉!⌉!!⌉!⌉!!⌋!⌉!!⌋
207 = ⌊√√√√√√√⌈√√√⌊√√√√⌈√√√√√⌈√√√⌈√√⌈√√7!⌉!⌉!!⌉!⌉!!⌋!⌉!!⌋
207 = ⌊√√√√√√√⌈√√√⌊√√√√⌈√√√√√⌈√√√⌈√√9!⌉!!⌉!⌉!!⌋!⌉!!⌋
207 = ⌊√√√√√√√⌈√√√⌊√√√√⌈√√√√√⌈√√√25!!⌉!⌉!!⌋!⌉!!⌋
207 = ⌊√√√√√√√⌈√√√⌊√√√√⌈√√√√√41!⌉!!⌋!⌉!!⌋
207 = ⌊√√√√√√√⌈√√√⌊√√√√36!!⌋!⌉!!⌋
207 = ⌊√√√√√√√⌈√√√21!⌉!!⌋
207 = ⌊√√√√√√√291!!⌋
207 = 207

(and yes, I did have to use a spreadsheet to get there with a huge table of multiple roots to bounce around)
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Re: Five Fives Game

Postby Ffraid on Sun Mar 17, 2013 1:43 pm

208 = 5! + 5!!*5 + 5!! - ⌊√5⌋
208 = 120 + 15*5 + 15 - 2
208 = 120 + 75 + 15 - 2
208 = 208
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Re: Five Fives Game

Postby crispybits on Sun Mar 17, 2013 1:54 pm

I'll use one of the new ones for fun

209 = 5# x (5 + ⌊√5⌋) - (5/5)
209 = 30 x (5 + 2) - 1
209 = 30 x 7 - 1
209 = 210 - 1
209 = 209
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Re: Five Fives Game

Postby Ffraid on Mon Mar 18, 2013 10:17 am

210 = 5! + 5! - 5*5 - 5
210 = 120 + 120 - 25 - 5
210 = 210
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Re: Five Fives Game

Postby crispybits on Mon Mar 18, 2013 10:35 am

211 = 5! + 5! - 5*5 - ⌈√5!!⌉
211 = 120 + 120 - 25 - 4
211 = 211
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Re: Five Fives Game

Postby maasman on Wed Mar 20, 2013 9:43 am

212 = 5! + 5! - 5*5 - ⌈√5⌉
212 = 120 + 120 - 25 - 3
212 = 212
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Re: Five Fives Game

Postby crispybits on Sat Mar 23, 2013 4:20 am

213 = (5 x (5 - ⌊√5⌋) - ⌈√5!!⌉) x ⌈√5⌉
213 = (5 x (5 - 2) - 4) x 3)
213 = (5 x 3 - 4) x 3
213 = (75 - 4) x 3
213 = 71 x 3
213 = 213
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Re: Five Fives Game

Postby chapcrap on Sat Mar 23, 2013 2:50 pm

crispybits wrote:213 = (5 x (5 - ⌊√5⌋) - ⌈√5!!⌉) x ⌈√5⌉
213 = (5 x (5 - 2) - 4) x 3)
213 = (5 x 3 - 4) x 3
213 = (75 - 4) x 3 5 x 3 =/= 75
213 = 71 x 3
213 = 213
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Re: Five Fives Game

Postby crispybits on Sat Mar 23, 2013 4:46 pm

oh bugger - it worked in my head (just got my shizzle all messed up)

213 = (5 x 5 x ⌈√5⌉ - ⌈√5!!⌉) x ⌈√5⌉
213 = (5 x 5 x 3 - 4) x 3)
213 = (25 x 3 - 4) x 3
213 = (75 - 4) x 3
213 = 71 x 3
213 = 213
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Re: Five Fives Game

Postby maasman on Tue Apr 02, 2013 1:59 pm

214 = 5! + 5! - (5!! + ⌊√(5 x 5)⌋)
214 = 120 + 120 - (15 + 11)
214 = 240 - 26
214 = 214
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Re: Five Fives Game

Postby Ffraid on Tue Apr 02, 2013 2:40 pm

maasman wrote:214 = 5! + 5! - (5!! + ⌊√(5 x 5)⌋)
214 = 120 + 120 - (15 + 11)
214 = 240 - 26
214 = 214

√(5 x 5) = 5 therefore ⌊√(5 x 5)⌋ = 5, no?
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Re: Five Fives Game

Postby maasman on Tue Apr 02, 2013 4:54 pm

Ffraid wrote:
maasman wrote:214 = 5! + 5! - (5!! + ⌊√(5 x 5)⌋)
214 = 120 + 120 - (15 + 11)
214 = 240 - 26
214 = 214

√(5 x 5) = 5 therefore ⌊√(5 x 5)⌋ = 5, no?


You are correct, I forgot a 5 in my head. Here is something hopefully more correct.

214 = 5! + 5! + ⌈√(5!!)⌉ - (5!! + 5!!)
214 = 120 + 120 + 4 - (15 + 15)
214 = 244 - 30
214 = 214
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Re: Five Fives Game

Postby Ffraid on Tue Apr 02, 2013 10:39 pm

215 = 5! + 5! - 5*√(5*5)
215 = 120 + 120 - 5*√25
215 = 240 - 5*5
215 = 240 - 25
215 = 215
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