Representation of numbers with four 3's

1 3·3/3/3
2 (3+3)/(√3·√3)
3 (3+3+3)/3 = 33/3/3
4 √3·√3+3/3 = 3!-(3+3)/3
5 3!-(√3·√3)/3 = (3+3)/3+3
6 3!+(3-3)/3
7 3!+(√3·√3)/3
8 [3·√3]+√3·√3
9 3·3·3/3
10 3·3+3/3
11 [(√3+3)·3-3] = 3!+3!-3/3 = 3/.3+3/3
12 3+3+3+3
13 3!+3!+3/3
14 3·3+[3·√3]
15 3·3+3+3 = (3!-3/3)·3
16 3/.3+3+3
17 3·3!-3/3
18 3·3!-3+3 = (3!-3/3)!!+3 = 33-3·3 = 3·3+3·3(2)
19 3·3!+3/3
20 3/.3+3/.3
21 33-3-3
22 (3!)!!/3+3+3
23 (3+3)/.3+3
24 3·3!+3+3
25 [3·3·3-√3]
26 33-3/3
27 33-3+3 = 33!/3·3(3)
28 33+3/3 = [3·3/.3 - √3] = 33+3/3(3) = (√(3!)!! + 3!·√(3!)!!)/√3(3)
29 3·3/.3-[√3]=3!/.3+3·3 = 33+3!/3(3)
30 3·3·3+3 = 3!·3!-3-3 = 33+3!-3= 3·3·3+3(3) = ((3!)!!+(3!)!!-3!)/3(3) = (3!)!!-3!·√3·3(3) = (3!)3/3!-3!(3)
31 3·3/.3+[√3] = 33-3!/3(3) = ((3!)!!+(3!)!!-3)/3(3)
32 33-3/3 = (3!)!!/3·3!/3(3)
33 33-3+3 = 33/3·3(3) = 33+3+3(3) = 3!·3!-3!+3(3) = (3!)3!/3-3(3) = 3·√3·(3!)!! - 3(3) = ((3!)!!+(3!)!!+3)/3(3) = (3!)3/3!-3(3)
34 33+3/3 = 3!·3!-3!/3(3) = ((3!)!!+(3!)!!+3!)/3(3)
35 33+3!/3(1)= 3!·3!-3/3(3) = ((3!)!!+(3!)!!)/3+3(3)
36 33 + √3·3 = 33+3·3(3) = 3!·3!+3-3(3) = 33+3·3(3) = √3!·3!·3!·3!(3)
37 3!·3!+3/3(3) = (3!)!!-33/3(3)
38 3!·3!+3!/3(3)
39 33+3+3(3) = 3!·3!+3!-3(3) = (3!)!!-33!/3(3) = (3!)3!/3+3(3) = 3·√3·(3!)!! + 3(3) = (3!+3!)·3+3(3) = (3!)3/3!+3(3)
40 (3+3!/3)!/3(3) = (3!)!!-3!-3!/3(3) = (3!)!!-(3!/3)3(3) = 3!/3·3!/.3(3)
41 (3!)!!-3!-3/3(3)
42 (3!)!!-3·3+3(3) = 3!·3!+3+3(3) = 3!·(3!+3/3)(3) = 33+3·3(3) = (3!)3/3!+3!(3) = 33/.3-(3!)!!(3)
43 (3!)!!-3!+3/3(3) = (3!)!!-3!/3-3(3)
44 (3!)!!-3!+3!/3(3) = (3!)!!-3-3/3(3)
45 (3!)!!+3-3-3(3) = 3·(3+3!/3)!!(3)
46 (3!)!!-3+3/3(3) = (3+3)!!-3!/3(3) = (3!)!! - √3 + 3/3(3) = (3!)!! - √3! - 3!/3(3)
47 (3!)!!-3+3!/3(3) = (3!)!!-(3/3)3(3) = 33+3!/.3(3)
48 (3!)!!+3!-3-3(3) = ((3!)!!+(3!)!!+(3!)!!)/3(3) = 3·3·3!-3!(3)
49 (3!)!!+3-3!/3(3) = (3!)!!+(3/3)3(3)
50 (3!)!! + √3 + 3/3(3) = (3!)!! + √3! - 3!/3 = (3!)!!+(3!)!!/3!-3!(3)
51 (3!)!!+3+3-3(3) = (3!)!!+3·3/3(3) = 3·3·3!-3(3)
52 (3!)!!+3+3/3(3) = (3!)!!+3!-3!/3(3) = (3!)!!+3/.3-3!(3)
53 (3!)!!+3+3!/3(3) = (3!)!!+(3!)!!/3!-3(3) = 33+3!/.3(3)
54 (3!)!!+3!+3-3(3) = (3!)!!+3!·3!/3!(3) = 33·3!/3(3) = 33+33(3) = 3!·3!+3·3!(3) = 3!·3/.3-3!(3)
55 (3!)!!+3!+3/3(3) = (3!)!!+3/.3-3(3)
56 (3!)!!+(3+3/3)!!(3) = (3!)!!+3!+3!/3(3) = (3!)!!+(3!/3)3(3) = 3!·3!+3!/.3(3)
57 (3!)!!+33/3(3) = (3!)!!+3!+3!-3(3) = 3·3·3!+3(3) = 3!·3/.3-3(3)
58 (3!/3)3!-3!(3)
59 (3!)!!+33/3(3) = (3!)!!+(3!)!!/3!+3(3)
60 (3!)!!+3!·3!/3(3) = (3!)!!+3·3+3(3) = (3!)!!+(3!)!!-3!·3!(3) = (3!)!!+3·3!-3!(3) = 3·3·3!+3!(3) = 33+33(3)
61 (3!/3)3!-3(3) = (3!)!!+(3!)!!/3-3(3) = (3!)!!+3/.3+3(3)
62 (3!)!!+(3!)!!/3!+3!(3) = (3!)!!+3!/.3-3!(3) = 33/.3-(3!)!!(3)
63 (3!)!!+3·3+3!(3) = (3!)!!+3!+3!+3(3) = 3!·3/.3+3(3) = 33+3!·3!(3) = (33-3!)·3(3) = 3!·3/.3+3(3)
64 (3+3/3)3(3) = (3!-3!/3)3(3) = ((3!)!!/3!)·((3!)!!/3!)(3) = ((3!)!!/3!)3!/3(3) = (3!)!!+3/.3+3!(3) = (3!)!!/.3-(3!)!!-(3!)!!(3)
65 (3!)!!+3!/.3-3(3)
66 33·3!/3 = 33+33(3) = (3!)!!+3!+3!+3!(3) = √3·(3!)!!·3!-3!(3) = 3·3!/.3+3!(3)
67 (3!/3)3!+3(3) = (3!)!!+(3!)!!/3+3(3)
68 (3!)!!+(3+3)/.3(3) = 3!<<3+3!/.3(3)
69 (3!)!!+3·3!+3(3) = √3·(3!)!!·3!-3(3) = (3!)!!+33-3!(3) = 33+3!·3!(3)
70 (3!/3)3!+3!(3) = (3!)!!+(3!)!!/3+3!(3)
71 (3!)!!+3!/.3+3(3)
72 3·3·(3!)!!/3!(3) = (33-3)·3(3) = (3!)!!+33-3(3) = 3!·3!+3!·3!(3) = (3!)3-3·(3!)!!(3) = (3!)!-3·(3!)3(3) = (3+3)·√3·(3!)!!(3) = 3!·3!/.3-(3!)!!(3) = (3+3/3)!·3

(1) By Andre Gustavo dos Santos from Brasil

(2) By Emiliano Venturini from Italy.

(3) By Vladimir Zajic


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