Happy New Year 2554 (Buddhist calendar equivalent to 2011).
I wish this year will be a great one for everybody.
Last year, I wrote a similar HNY card. First Sakulbuth suggested that we do this again this year. So, here it is. (What do you do when you are too lazy to do mathematics? – Arithmetic.)
Pick your favorite lucky number. If it’s an integer within -100 to 100, we can represent it with digits in “2554″ sequentially, using only +, -, *, /, !, √, ., ^. (With exceptions for 69, 75, 83, 87).
PS. Consequently, if you favorite lucky number is an integer out of this range, you can represent it with finite multiple repeats of digits in “2554″ sequentially. If you favorite lucky number is a rational number, you can also represent it with finite multiple repeats of digits in “2554.” If you favorite lucky number is irrational, at worst you then can approximate it with sequences of digits in “2554.” If you allow “i,” this goes for those whose favorite lucky number isn’t real too.
Again, happy new year – whichever your favorite lucky numbers are.
0 = 2*(5-5)*4
1 = 2*5 – (5+4)
2 = -(2+5) + (5+4)
3 = -(2^(5-5)) + 4
4 = -2+5+5-4
5 = 2^(5-5) + 4
6 = 2^(5/5) + 4
7 = (2+5)*(5-4)
8 = 2+5+5-4
9 = 2*5 – 5 + 4
10 = 2*5*(5-4)
11 = (-2+5)*5-4
12 = -2+5+5+4
13 = -2-5+5*4
14 = √25 + 5 + 4
15 = -√25 + 5*4
16 = 2+5+5+4
17 = 2-5+5*4
18 = 2*(5+5) – √4
19 = -2+5*5-4
20 = 25/5*4
21 = √25 * 5 – 4
22 = -2^5 + 54
23 = 2^5 – 5 – 4
24 = 25-5+4
25 = 25*(5-4)
26 = 25+(5-4)
27 = -2+5*5+4
28 = 2*(5+5+4)
29 = -25 + 54
30 = 2*5+5*4
31 = 2+5*5+4
32 = (2^5)*(5-4)
33 = 2^5 + (5-4)
34 = 25+5+4
35 = 2*5.5 + 4!
36 = 2^(√5*5) + 4
37 = (2+5)*5*√4
38 = -2+(5+5)*4
39 = (2+5)*5+4
40 = 2*(5+5)*√4
41 = 2^5 + 5 + 4
42 = 2+(5+5)*4
43 = -2 + 5*(5+4)
44 = -(2*5)+54
45 = 25 + 5*4
46 = 2*5*5-4
47 = -2-5+54
48 = 2*5*5 – √4
49 = -2+55-4
50 = 2.5*5*4
51 = 2-5+54
52 = 2^5+5*4
53 = 2+55-4
54 = 2*5*5+4
55 = -2+55+√4
56 = 2^√(5*5) + 4!
57 = -2+55+4
58 = 2*5+5!*.4
59 = 2+55+√4
60 = (-2+5)*5*4
61 = 2+55+4
62 = 2^5+5!/4
63 = (2+5)*(5+4)
64 = 2^(5+5-4)
65 = √25 + 5!/√4
66 = 2+5!*.5+4
67 = 2+5+5!/√4
68 = 2+5!-54
69 = σ(2)+5!-54
70 = (2+5)*5*√4
71 = -25+5!-4!
72 = .2*5!+5!*.4
73 = 25+5!*.4
74 = 2+5!-5!*.4
75 = σ(2)*5*5!/4!
76 = (.2*5!-5)*4
77 = -2+55+4!
78 = .2*5!+54
79 = 25+54
80 = (25-5)*4
81 = 2+55+4!
82 = -2+5!*.5+4!
83 = σ(2^5)+5*4
84 = -2^5+5!-4
85 = 25+5!/√4
86 = 2^5+54
87 = σ(2^√(5*5))+4!
88 = (-2+5!/5)*4
89 = -2-5+5!-4!
90 = 2*5*(5+4)
91 = -25+5!-4
92 = (-2+5*5)*4
93 = 2-5+5!-4!
94 = -2+(√5*5)!-4!
95 = -25 + (√(5^√4))!
96 = 2*5!/5*√4
97 = -25+5!+√4
98 = 2*(-5+54)
99 = -2+5+5!-4!
100 = (√25)*5*4
Note : σ is a sigma function. σ(n) = sum of positive divisor of n.
(If you can find an alternative for 69, 75, 83, 87 without using σ, please leave a comment.)
