# five fives

Agerg
Posers and Puzzles 13 Sep '09 12:26
1. Agerg
The 'edit'or
13 Sep '09 12:26
I know four fours have been done here (not sure about 5 5s though)
You have to form the numbers from 0-whatever (in ascending order) using simple arithmetic operations. These being:

subtraction -
multiplication *
division /
factorial !
concatenation (eg: 55 or.55 etc...)
decimals . (ie .5)
recurring decimals (no overbar (or underline) so will let .5 denote .555555.... = 5/9)
square roots sqrt() (debatable because of implied 1/2 but then factorial has implied 2,3,4 in it yet no-one says anything about that)
exponentiation ^

Also since the first 30 or so are trivial should we start a bit later?
2. 13 Sep '09 15:28
5!/5 + 5 + 5/5 = 30
5*5 + 5 + 5/5 = 31
Hmmm...... = 32
5.5 * 5 + 5.5 = 33
5!/5 + sqrt(5)*sqrt(5) + 5 = 34
5(5 + 5/5) + 5 = 35

LaTeX would make this forum much nicer, though it's not that easy to implement probably.
3. Agerg
The 'edit'or
13 Sep '09 15:405 edits
Originally posted by Kristaps
5!/5 + 5 + 5/5 = 30
5*5 + 5 + 5/5 = 31
Hmmm...... = 32
5.5 * 5 + 5.5 = 33
5!/5 + sqrt(5)*sqrt(5) + 5 = 34
5(5 + 5/5) + 5 = 35

LaTeX would make this forum much nicer, though it's not that easy to implement probably.
Yeah I agree with you about the LaTeX...the boldface for recuring .5... looks crappy!
((sqrt(5*5) + 5)/5)^5 = 32đź™‚

36 = (5!/(5+5))*(sqrt(5/.5)
37 = (((5+5)/5)^5)+5
38 = (5!/(5*.5))-5-5
39 = (5!/(5*.5)) -5/.5
40 = ((5*5)/.5) -5-5
4. 13 Sep '09 16:25
5. 13 Sep '09 18:36
41 = 5*(5+5)-5/.5
6. Palynka
Upward Spiral
13 Sep '09 20:21
LaTeX with greasemonkey for those using Firefox.
7. 13 Sep '09 20:39
Originally posted by Palynka
LaTeX with greasemonkey for those using Firefox.
Thanks for that.

Now back to the topic

42 = meaning of li.... = ...
8. Agerg
The 'edit'or
13 Sep '09 23:29
42 = ((5*5)/.5) - sqrt(5/.5)
9. 14 Sep '09 20:574 edits
43 = 5!/sqrt(5/.5) + sqrt(5/.5)
44 = 5*5/.5 - 5/5
45 = 5*5/.5 - 5 + 5
46 = 5*5/.5 + 5/5
47 = (5*5 + .5 + .5)/.5
48 = 5!/5*(5+5)/5
49 = 5*(5+5)-5/5
50 = 5*(5+5)-5+5
51 = 5*(5+5)+5/5
10. Agerg
The 'edit'or
15 Sep '09 05:316 edits
52 = (5*5 +(5/5))/.5
53 = 55 - (5+5)/5
54 = 55 -5^(5-5)
55 = 55 -5*(5-5)
56 = 55 +5^(5-5)
57 = 55+ (5+5)/5
58 = 5!/(5*.5) +5+5
59 = 55 + 5 - (5/5)
60 = 55 + 5*(5/5)
61 = 55 +5 + (5/5)
11. TheMaster37
Kupikupopo!
15 Sep '09 09:16
I think I'll skip.

.5 is 0.5, so it uses a zero we don't get.

sqrt uses a 2

Factorial is a function, not an operation.

0.555.... uses at least three 5's as typed here. Creating an abbreviation feels like cheating.
12. 19 Sep '09 00:08
62:

5.5 x 5.5 x ( 5/5 + 5/5) + 0.5 + 0.5 + 0.5

thats probably too many fives
13. 20 Sep '09 20:11
With too many 5s, its easy:
62 = 55 + 5 + 5/5 + 5/5
...still thinking...
14. 20 Sep '09 21:514 edits
62 = 5*5*5*.5 - .5
63 = 5*5*5*.5 + .5
64 = (5! + (5 - .5)/.5)*.5
65 = (5! + (5 + .5)/.5)*.5
15. PBE6
Bananarama
21 Sep '09 20:101 edit
Oops!