\( \def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \DeclareMathOperator{\arsinh}{arsinh} \)
Four fours is a classic problem, dating back at least 90 years. Create each of the positive integers using four copies of 4, and any standard operations. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.
Use the online submissions page to get your Integermania solutions posted here! This problem is now in semi-retired status, so you may submit an unlimited number of solutions each month.
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201-1600), Page 5 (1601-2000), Page 6 (2001-2400), Page 7 (2401-2800), Page 8 (2801-3200), Page 9 (3201-3600), Page 10 (3601-4000), Page 11 (4001+).
1 (1.0) $\dfrac{4+4}{4+4}$ Carolyn Neptune, 3/06 Prairie Village, KS |
2 (1.0) $\dfrac{4 \times 4}{4 + 4}$ Carolyn Neptune, 4/06 Prairie Village, KS |
3 (1.0) $\dfrac{4 \times 4 - 4}{4}$ Dave Jones, 5/06 Coventry, England |
4 (1.0) $(4 - 4) \times 4 + 4$ Dave Jones, 5/06 Coventry, England |
5 (1.0) $\dfrac{4 \times 4 + 4}{4}$ Dave Jones, 5/06 Coventry, England |
6 (1.0) $4 + \dfrac{4+4}{4}$ Dave Jones, 5/06 Coventry, England |
7 (1.0) $4 + 4 - \dfrac44$ Dave Jones, 5/06 Coventry, England |
8 (1.0) $4 \times 4 - 4 - 4$ Christie Birzer, 3/06 Shawnee, KS |
9 (1.0) $4 + 4 + \dfrac44$ Dave Jones, 4/06 Coventry, England |
10 (2.0) $\dfrac{44 - 4}{4}$ Christie Birzer, 3/06 Shawnee, KS |
|
11 (2.2) $\dfrac{4}{.4} + \dfrac44$ Matt Watters, 4/06 Prairie Village, KS |
12 (1.0) $4 \times \left( 4 - \dfrac44 \right)$ Levi Self, 6/06 San Antonio, TX |
13 (2.4) $\dfrac{4}{.\overline{44}} + 4$ Steve Wilson, 7/06 Raytown, MO |
14 (2.4) $\dfrac{4+4}{.\overline{4}} - 4$ Steve Wilson, 7/06 Raytown, MO |
15 (1.0) $4 \times 4 - \dfrac44$ Dave Jones, 4/06 Coventry, England |
16 (1.0) $4 \times 4 \times \dfrac44$ Dave Jones, 4/06 Coventry, England |
17 (1.0) $4 \times 4 + \dfrac44$ Dave Jones, 4/06 Coventry, England |
18 (2.2) $\dfrac{4}{.4} + 4 + 4$ Steve Wilson, 7/06 Raytown, MO |
19 (2.4) $\dfrac{4 + 4 - .4}{.4}$ Dave Jones, 1/07 Coventry, England |
20 (1.0) $4 \times \left( 4 + \dfrac44 \right)$ Dave Jones, 4/06 Coventry, England |
|
21 (2.2) $\dfrac{4}{4 \times 4\%} - 4$ Dave Jones, 10/06 Coventry, England |
22 (2.4) $\dfrac{4 + 4}{.\overline{4}} + 4$ Steve Wilson, 7/06 Raytown, MO |
23 (3.2) $4! - 4^{4-4}$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
24 (1.0) $4 \times 4 + 4 + 4$ Carolyn Neptune, 4/06 Prairie Village, KS |
25 (2.4) $4 \times 4 + \dfrac{4}{.\overline{4}}$ Dave Jones, 1/07 Coventry, England |
26 (2.2) $4 \times 4 + \dfrac{4}{.4}$ Dave Jones, 10/06 Coventry, England |
27 (2.4) $\dfrac{4 + 4 + 4}{.\overline{4}}$ Dave Jones, 1/07 Coventry, England |
28 (1.0) $4 \times (4 + 4) - 4$ Steve Wilson, 5/06 Raytown, MO |
29 (2.2) $\dfrac{4}{4 \times 4\%} + 4$ Dave Jones, 10/06 Coventry, England |
30 (2.2) $\dfrac{4 + 4 + 4}{.4}$ Steve Wilson, 6/06 Raytown, MO |
|
31 (3.2) $\sqrt[.4]{4} - \dfrac44$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
32 (1.0) $4 \times 4 + 4 \times 4$ Levi Self, 6/06 San Antonio, TX |
33 (3.2) $\sqrt[.4]{4} + \dfrac44$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
34 (2.2) $44 -\dfrac{4}{.4}$ Dave Jones, 6/06 Coventry, England |
35 (2.4) $44 - \dfrac{4}{.\overline{4}}$ Steve Wilson, 8/06 Raytown, MO |
36 (1.0) $(4 + 4) \times 4 + 4$ Levi Self, 6/06 San Antonio, TX |
37 (2.8) $\dfrac{4 \times 4 + .\overline{4}}{.\overline{4}}$ Dave Jones, 4/07 Coventry, England |
38 (3.2) $44 - \dfrac{4!}{4}$ Steve Wilson, 10/08 Raytown, MO |
39 (2.4) $\dfrac{4 \times 4 - .4}{.4}$ Dave Jones, 1/07 Coventry, England |
40 (2.4) $4 \times \dfrac{4}{.\overline{4}} + 4$ Steve Wilson, 6/06 Raytown, MO |
|
41 (2.4) $\dfrac{4 \times 4 + .4}{.4}$ Dave Jones, 1/07 Coventry, England |
42 (3.2) $44 - 4 + \sqrt{4}$ Steve Wilson, 8/06 Raytown, MO |
43 (2.0) $44 - \dfrac44$ Carolyn Neptune, 5/06 Prairie Village, KS |
44 (2.0) $44 \times \dfrac44$ Carolyn Neptune, 5/06 Prairie Village, KS |
45 (2.0) $44 + \dfrac44$ Carolyn Neptune, 5/06 Prairie Village, KS |
46 (2.2) $\dfrac{4}{(4+4)\%} - 4$ Steve Wilson, 1/07 Raytown, MO |
47 (3.4) $4! + 4! - \dfrac44$ Steve Wilson, 10/06 Raytown, MO |
48 (1.0) $(4 \times 4 - 4) \times 4$ Steve Wilson, 5/06 Raytown, MO |
49 (3.2) $\dfrac{.4}{(.\overline{4} + .\overline{4})\%} + 4$ Steve Wilson, 10/08 Raytown, MO |
50 (2.2) $\dfrac{4 \times 4 + 4}{.4}$ Steve Wilson, 6/06 Raytown, MO |
|
51 (3.4) $\dfrac{\sqrt{4}}{4\%} + \dfrac44$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
52 (2.0) $44 + 4 + 4$ Carolyn Neptune, 5/06 Prairie Village, KS |
53 (2.4) $44 + \dfrac{4}{.\overline{4}}$ Steve Wilson, 8/06 Raytown, MO |
54 (2.2) $44 + \dfrac{4}{.4}$ Dave Jones, 6/06 Coventry, England |
55 (2.2) $\dfrac{4.4}{(4 + 4)\%}$ Steve Wilson, 10/08 Raytown, MO |
56 (2.2) $\dfrac{4}{4\%} - 44$ Steve Wilson, 8/06 Raytown, MO |
57 (3.6) $\dfrac{4! + .4}{.4} - 4$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
58 (3.2) $\dfrac{4^4 - 4!}{4}$ Steve Wilson, 10/08 Raytown, MO |
59 (3.4) $\dfrac{4!}{.4} - \dfrac44$ Ralph Jeffords, 2/07 Centreville, VA |
60 (1.0) $4 \times 4 \times 4 - 4$ Steve Wilson, 5/06 Raytown, MO |
|
61 (3.4) $\dfrac{4!}{.4} + \dfrac44$ Steve Wilson, 3/06 Raytown, MO |
62 (3.2) $4 \times 4 \times 4 - \sqrt{4}$ Carolyn Neptune, 10/06 Prairie Village, KS |
63 (3.0) $\dfrac{4^4 - 4}{4}$ Steve Wilson, 11/06 Raytown, MO |
64 (1.0) $(4 + 4) \times (4 + 4)$ Steve Wilson, 5/06 Raytown, MO |
65 (3.0) $\dfrac{4^4 + 4}{4}$ Steve Wilson, 11/06 Raytown, MO |
66 (3.2) $4 \times 4 \times 4 + \sqrt{4}$ Carolyn Neptune, 10/06 Prairie Village, KS |
67 (3.6) $\dfrac{4! + 4}{.\overline{4}} + 4$ Ralph Jeffords, 3/07 Centreville, VA |
68 (1.0) $4 \times 4 \times 4 + 4$ Steve Wilson, 5/06 Raytown, MO |
69 (3.6) $\dfrac{4! + \sqrt{4}}{.4} + 4$ Steve Wilson, 12/06 Raytown, MO |
70 (3.2) $\dfrac{4^4 + 4!}{4}$ Steve Wilson, 10/08 Raytown, MO |
|
71 (3.4) $\dfrac{4! + 4.4}{.4}$ Steve Wilson, 3/06 Raytown, MO |
72 (2.4) $(4 + 4) \times \dfrac{4}{.\overline{4}}$ Steve Wilson, 9/06 Raytown, MO |
73 (3.8) $\dfrac{\sqrt{4} - 4\%}{4\%} + 4!$ Steve Wilson, 12/07 Raytown, MO |
74 (2.8) $\dfrac{.4}{.\overline{4}\%} - 4 \times 4$ Steve Wilson, 9/06 Raytown, MO |
75 (2.2) $\dfrac{4 - \dfrac44}{4\%}$ Dave Jones, 11/06 Coventry, England |
76 (3.2) $4 \times (4! - 4) - 4$ Steve Wilson, 10/08 Raytown, MO |
77 (3.0) $\dfrac{.4 - 4\%}{.\overline{4}\%} - 4$ Steve Wilson, 2/07 Raytown, MO |
78 (3.4) $(4! - 4) \times 4 - \sqrt{4}$ Steve Wilson, 11/06 Raytown, MO |
79 (3.6) $\dfrac{ \sqrt[.4]{4} - .4}{.4}$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
80 (1.0) $(4 \times 4 + 4) \times 4$ Levi Self, 6/06 San Antonio, TX |
|
81 (2.6) $\dfrac{4 - .4}{4.\overline{4}\%}$ Dave Jones, 2/07 Coventry, England |
82 (2.8) $\dfrac{.4}{.\overline{4}\%} - 4 - 4$ Steve Wilson, 9/06 Raytown, MO |
83 (3.8) $\sqrt{ \left( \dfrac{4}{.\overline{4}} \right)^4} + \sqrt{4}$ Ralph Jeffords, 12/06 Centreville, VA |
84 (2.2) $\dfrac{4}{4\%} - 4 \times 4$ Dave Jones, 10/06 Coventry, England |
85 (3.0) $\dfrac{.4 - 4\%}{.\overline{4}\%} + 4$ Steve Wilson, 2/07 Raytown, MO |
86 (2.4) $\dfrac{4 - .4}{4\%} - 4$ Steve Wilson, 9/06 Raytown, MO |
87 (3.2) $\dfrac{.\overline{4} - 4\%}{.\overline{4}\%} - 4$ Steve Wilson, 10/08 Raytown, MO |
88 (2.0) $44 + 44$ Dave Jones, 9/06 Coventry, England |
89 (2.4) $\dfrac{4 - .44}{4\%}$ Dave Jones, 11/06 Coventry, England |
90 (2.4) $\dfrac{4}{4\%} - \dfrac{4}{.4}$ Steve Wilson, 6/06 Raytown, MO |
|
91 (2.6) $\dfrac{4}{4\%} - \dfrac{4}{.\overline{4}}$ Steve Wilson, 1/06 Raytown, MO |
92 (2.2) $\dfrac{4}{4\%} - 4 - 4$ Carolyn Neptune, 6/06 Prairie Village, KS |
93 (3.4) $\dfrac{.4 - .\overline{4}\%}{.\overline{4}\%} + 4$ Steve Wilson, 10/08 Raytown, MO |
94 (2.4) $\dfrac{4 - .4}{4\%} + 4$ Steve Wilson, 9/06 Raytown, MO |
95 (2.4) $\dfrac{44}{.\overline{4}} - 4$ Dave Jones, 11/06 Coventry, England |
96 (2.4) $\dfrac{4 - 4 \times 4\%}{4\%}$ Dave Jones, 2/07 Coventry, England |
97 (2.4) $\dfrac{4 + 4\%}{4\%} - 4$ Dave Jones, 2/07 Coventry, England |
98 (2.4) $\dfrac{4 - (4 + 4)\%}{4\%}$ Dave Jones, 2/07 Coventry, England |
99 (2.2) $\dfrac{4}{4\%} - \dfrac44$ Carolyn Neptune, 4/06 Prairie Village, KS |
100 (2.2) $\dfrac{4}{4\%} + 4 - 4$ Steve Wilson, 1/06 Raytown, MO |
|
101 (2.2) $\dfrac{4}{4\%} + \dfrac44$ Anders Skjäl, 2/04 Turku, Finland |
102 (2.4) $\dfrac{4 + (4+4)\%}{4\%}$ Dave Jones, 2/07 Coventry, England |
103 (2.4) $\dfrac{44}{.\overline{4}} + 4$ Steve Wilson, 7/03 Raytown, MO |
104 (2.4) $\dfrac{4 + 4 \times 4\%}{4\%}$ Dave Jones, 4/07 Coventry, England |
105 (2.4) $\dfrac{4 + 4\%}{4\%} + 4$ Dave Jones, 4/07 Coventry, England |
106 (2.2) $\dfrac{44}{.4} - 4$ Dave Jones, 3/06 Coventry, England |
107 (3.6) $\dfrac{4 + (4! + 4)\%}{4\%}$ Steve Wilson, 12/07 Raytown, MO |
108 (2.2) $\dfrac{4}{4\%} + 4 + 4$ Carolyn Neptune, 4/06 Prairie Village, KS |
109 (2.4) $\dfrac{44 - .4}{.4}$ Steve Wilson, 4/03 Raytown, MO |
110 (2.4) $\dfrac{4}{4\%} + \dfrac{4}{.4}$ Carolyn Neptune, 6/06 Prairie Village, KS |
|
111 (2.0) $\dfrac{444}{4}$ Tim Murphy, 2/03 Olathe, KS |
112 (3.2) $4! \times 4 + 4 \times 4$ Adam Petrowsky, 5/03 Lenexa, KS |
113 (3.2) $\dfrac{.\overline{4} + 4\%}{.\overline{4}\%} + 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
114 (2.2) $\dfrac{44}{.4} + 4$ John Kite, 4/03 Lenexa, KS |
115 (3.2) $\dfrac{.4 + \dfrac{.\overline{4}}{4}}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
116 (2.2) $\dfrac{4}{4\%} + 4 \times 4$ Carolyn Neptune, 4/06 Prairie Village, KS |
117 (3.8) $\dfrac{4! + 4! + 4}{.\overline{4}}$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
118 (3.2) $\dfrac{.\overline{4} + (4 + 4)\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
119 (3.6) $\left( \dfrac{\sqrt{4}}{.4} \right)! - \dfrac44$ Steve Wilson, 9/03 Raytown, MO |
120 (2.2) $\dfrac{44 + 4}{.4}$ Dave Jones, 11/06 Coventry, England |
|
121 (3.2) $\sqrt{ \left( \dfrac{44}{4} \right)^4}$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
122 (3.4) $\left(4 + \dfrac44 \right)! + \sqrt{4}$ Steve Wilson, 11/03 Raytown, MO |
123 (3.6) $\dfrac{44}{.\overline{4}} + 4!$ Anders Skjäl, 5/04 Turku, Finland |
124 (3.2) $\dfrac{4^4}{\sqrt{4}} - 4$ Steve Wilson, 1/05 Raytown, MO |
125 (2.2) $\dfrac{4 + \dfrac44}{4\%}$ Dave Jones, 11/06 Coventry, England |
126 (3.0) $\dfrac{.4 + 4 \times 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
127 (3.4) $\dfrac{4^4 - \sqrt{4}}{\sqrt{4}}$ Anders Skjäl, 2/04 Turku, Finland |
128 (1.0) $4 \times 4 \times (4 + 4)$ Fredrik Jansson, 12/03 Turku, Finland |
129 (3.4) $\dfrac{4^4 + \sqrt{4}}{\sqrt{4}}$ Steve Wilson, 2/04 Raytown, MO |
130 (3.2) $\dfrac{4^4 + 4}{\sqrt{4}}$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
|
131 (3.8) $\dfrac{4!}{.4 \times .\overline{4}} - 4$ Ralph Jeffords, 2/07 Centreville, VA |
132 (3.2) $\dfrac{4^4}{\sqrt{4}} + 4$ Carolyn Neptune, 2/04 Prairie Village, KS |
133 (4.0) $\dfrac{4!}{.4 \times .\overline{4}} - \sqrt{4}$ Steve Wilson, 3/06 Raytown, MO |
134 (2.8) $\dfrac{.4}{.\overline{4}\%} + 44$ Steve Wilson, 1/07 Raytown, MO |
135 (2.8) $\dfrac{\dfrac44 - .4}{.\overline{4}\%}$ Dave Jones, 4/07 Coventry, England |
136 (3.2) $\dfrac{.\overline{4} + 4 \times 4\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
137 (4.0) $\dfrac{4!}{.4 \times .\overline{4}} + \sqrt{4}$ Steve Wilson, 3/06 Raytown, MO |
138 (3.6) $\dfrac{4! \times 4! - 4!}{4}$ Steve Wilson, 1/07 Raytown, MO |
139 (3.8) $\dfrac{4!}{.4 \times .\overline{4}} + 4$ Ralph Jeffords, 3/07 Centreville, VA |
140 (2.4) $\dfrac{4 + 4 \times .4}{4\%}$ Dave Jones, 4/07 Coventry, England |
|
141 (3.8) $\dfrac{4 - 4\%}{4! \pmf} - 4!$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
142 (3.6) $4! \times (4 + \sqrt{4}) - \sqrt{4}$ Steve Wilson, 8/04 Raytown, MO |
143 (3.4) $\dfrac{4! \times 4! - 4}{4}$ Steve Wilson, 9/04 Raytown, MO |
144 (2.2) $\dfrac{4}{4\%} + 44$ Dave Jones, 10/06 Coventry, England |
145 (3.4) $\dfrac{4! \times 4! + 4}{4}$ Steve Wilson, 10/04 Raytown, MO |
146 (3.4) $\dfrac{4 + \sqrt{4}}{4\%} - 4$ Steve Wilson, 10/08 Raytown, MO |
147 (4.0) $\dfrac{4! \times 4 + \sqrt{4}}{\sqrt{.\overline{4}}}$ Carolyn Neptune, 11/04 Prairie Village, KS |
148 (3.4) $4! \times (4 + \sqrt{4}) + 4$ Steve Wilson, 2/07 Raytown, MO |
149 (3.4) $\dfrac{ \dfrac{4!}{4\%} - 4}{4}$ Steve Wilson, 10/08 Raytown, MO |
150 (2.4) $\dfrac{ \dfrac{4}{.4} - 4}{4\%}$ Dave Jones, 5/07 Coventry, England |
|
151 (3.4) $\dfrac{\dfrac{4!}{4\%} + 4}{4}$ Steve Wilson, 10/08 Raytown, MO |
152 (3.2) $44 \times 4 - 4!$ Carolyn Neptune, 11/06 Prairie Village, KS |
153 (3.6) $\dfrac{44 + 4!}{.\overline{4}}$ Ralph Jeffords, 5/07 Centreville, VA |
154 (3.4) $\dfrac{4 + \sqrt{4}}{4\%} + 4$ Steve Wilson, 2/05 Raytown, MO |
155 (3.8) $\dfrac{4 + \sqrt{4} + \sqrt{4\%}}{4\%}$ Steve Wilson, 3/05 Raytown, MO |
156 (3.2) $4^4 - \dfrac{4}{4\%}$ Carolyn Neptune, 3/07 Prairie Village, KS |
157 (4.2) $\sqrt[-\sqrt{.\overline{4}}]{4\%} + \sqrt[.4]{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
158 (3.6) $(4! - 4)^4 \pmf - \sqrt{4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
159 (4.0) $\dfrac{4!}{.4 \times .\overline{4}} + 4!$ Ralph Jeffords, 3/07 Centreville, VA |
160 (2.0) $(44 - 4) \times 4$ Dave Jones, 12/06 Coventry, England |
|
161 (3.6) $\dfrac{4 - 4\%}{4! \pmf} - 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
162 (3.6) $(4! - 4)^4 \pmf + \sqrt{4}$ Steve Wilson, 8/08 Raytown, MO |
163 (3.8) $\dfrac{4 - 4\%}{4! \pmf} - \sqrt{4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
164 (3.4) $\dfrac{4^4 \% + 4}{4\%}$ Steve Wilson, 10/08 Raytown, MO |
165 (3.8) $\dfrac{44}{.4 \times \sqrt{.\overline{4}}}$ Steve Wilson, 11/05 Raytown, MO |
166 (3.8) $4^4 - \dfrac{.4}{.\overline{4}\%}$ Steve Wilson, 3/07 Raytown, MO |
167 (3.6) $\dfrac{4 + (4 + 4) \pmf}{4! \pmf}$ Steve Wilson, 6/08 Raytown, MO |
168 (3.2) $4 \times (44 - \sqrt{4})$ Carolyn Neptune, 3/07 Prairie Village, KS |
169 (3.6) $\sqrt{ \left(4 + \dfrac{4}{.\overline{4}} \right)^4}$ Steve Wilson, 4/06 Raytown, MO |
170 (3.4) $\dfrac{44 + 4!}{.4}$ Ralph Jeffords, 3/07 Centreville, VA |
|
171 (3.2) $\dfrac{.4 + .4 - 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 5/08 Martina Franca, Italy |
172 (2.0) $44 \times 4 - 4$ Kimberly Grosdidier, 12/05 Overland Park, KS |
173 (4.0) $\dfrac{4 + \sqrt{4\%}}{4! \pmf} - \sqrt{4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
174 (3.2) $4 \times 44 - \sqrt{4}$ Carolyn Neptune, 1/06 Prairie Village, KS |
175 (3.4) $\dfrac{4! + 4}{4 \times 4\%}$ Steve Wilson, 10/08 Raytown, MO |
176 (3.0) $\dfrac{.4 + .4}{.\overline{4}\%} - 4$ Steve Wilson, 10/08 Raytown, MO |
177 (4.0) $\dfrac{4 + \sqrt{4\%}}{4! \pmf} + \sqrt{4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
178 (3.2) $4 \times 44 + \sqrt{4}$ Carolyn Neptune, 1/06 Prairie Village, KS |
179 (3.4) $\dfrac{(4 + \sqrt{4})! - 4}{4}$ Steve Wilson, 4/07 Raytown, MO |
180 (2.0) $4 \times 44 + 4$ Nancy Vaughn, 3/03 Shawnee, KS |
|
181 (3.4) $\dfrac{(4 + \sqrt{4})! + 4}{4}$ Steve Wilson, 4/07 Raytown, MO |
182 (3.6) $\dfrac{(4 + \sqrt{4})!}{4} + \sqrt{4}$ Steve Wilson, 4/07 Raytown, MO |
183 (4.4) $\dfrac{ \dfrac{4!}{\sqrt{4\%}} + \sqrt{4}}{\sqrt{.\overline{4}}}$ Steve Wilson, 5/07 Raytown, MO |
184 (3.0) $\dfrac{.4 + .4}{.\overline{4}\%} + 4$ Steve Wilson, 10/08 Raytown, MO |
185 (3.4) $\dfrac{4.44}{4! \pmf}$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
186 (3.2) $\dfrac{.4 + .\overline{4}}{.\overline{4}\%} - 4$ Steve Wilson, 7/08 Raytown, MO |
187 (4.0) $\dfrac{4 - (4! + \sqrt{4})\%}{(\sqrt{4})\%}$ Steve Wilson, 1/08 Raytown, MO |
188 (3.2) $4! \times (4 + 4) - 4$ Anders Skjäl, 12/03 Turku, Finland |
189 (3.0) $\dfrac{44\% + .4}{.\overline{4}\%}$ Paolo Pellegrini, 5/08 Martina Franca, Italy |
190 (2.4) $\dfrac{4 + 4 - .4}{4\%}$ Dave Jones, 5/07 Coventry, England |
|
191 (3.8) $\dfrac{4}{(\sqrt{4})\%} - \dfrac{4}{.\overline{4}}$ Steve Wilson, 5/07 Raytown, MO |
192 (2.0) $4 \times (44 + 4)$ Carolyn Neptune, 3/06 Prairie Village, KS |
193 (4.4) $\sqrt{\sqrt{ .\overline{4}\% ^{-4}}} - \sqrt[.4]{4}$ Steve Wilson, 12/08 Raytown, MO |
194 (3.2) $\dfrac{.4 + .\overline{4}}{.\overline{4}\%} + 4$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
195 (3.6) $\dfrac{4 + 4 - \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
196 (2.2) $\dfrac{4 + 4}{4\%} - 4$ Dave Jones, 3/06 Coventry, England |
197 (3.8) $\dfrac{4 - \dfrac{4!\%}{4}}{(\sqrt{4})\%}$ Steve Wilson, 12/07 Raytown, MO |
198 (3.4) $\dfrac{4 + 4}{4\%} - \sqrt{4}$ Carolyn Neptune, 11/06 Prairie Village, KS |
199 (2.4) $\dfrac{4 + 4 - 4\%}{4\%}$ Dave Jones, 5/07 Coventry, England |
200 (2.2) $\dfrac{4}{(4 + 4)\%} \times 4$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
|
201 (2.4) $\dfrac{4 + 4 + 4\%}{4\%}$ Dave Jones, 5/07 Coventry, England |
202 (3.4) $\dfrac{4 + 4}{4\%} + \sqrt{4}$ Carolyn Neptune, 11/06 Prairie Village, KS |
203 (3.8) $\dfrac{4 + \dfrac{4!\%}{4}}{(\sqrt{4})\%}$ Steve Wilson, 12/07 Raytown, MO |
204 (2.2) $\dfrac{4 + 4}{4\%} + 4$ Dave Jones, 3/06 Coventry, England |
205 (3.8) $\dfrac{4}{(\sqrt{4})\%} + \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 7/07 Raytown, MO |
206 (3.4) $4^4 - \dfrac{\sqrt{4}}{4\%}$ Steve Wilson, 10/08 Raytown, MO |
207 (3.6) $\dfrac{4! \times 4 - 4}{.\overline{4}}$ Paolo Pellegrini, 5/08 Martina Franca, Italy |
208 (3.4) $4^4 - 4! - 4!$ Steve Wilson, 6/05 Raytown, MO |
209 (3.8) $\dfrac{4}{(\sqrt{4})\%} + \dfrac{4}{.\overline{4}}$ Steve Wilson, 7/07 Raytown, MO |
210 (2.2) $\dfrac{4.4 + 4}{4\%}$ Dave Jones, 12/06 Coventry, England |
|
211 (4.0) $\dfrac{4 + (4! - \sqrt{4})\%}{(\sqrt{4})\%}$ Steve Wilson, 1/08 Raytown, MO |
212 (3.0) $4^4 - 44$ Ralph Jeffords, 5/07 Centreville, VA |
213 (4.0) $\dfrac{4 + (4! + \sqrt{4})\%}{(\sqrt{4})\%}$ Steve Wilson, 4/08 Raytown, MO |
214 (3.8) $\dfrac{4}{.\overline{4}} \times 4! - \sqrt{4}$ Steve Wilson, 8/07 Raytown, MO |
215 (2.8) $\dfrac{ \dfrac{4}{.\overline{4}} - .4}{4\%}$ Dave Jones, 5/07 Coventry, England |
216 (2.6) $\dfrac{\dfrac{4}{4\%} - 4}{.\overline{4}}$ Dave Jones, 6/07 Coventry, England |
217 (4.0) $\dfrac{4! \times 4 + .\overline{4}}{.\overline{4}}$ Steve Wilson, 10/07 Raytown, MO |
218 (3.8) $\dfrac{4}{.\overline{4}} \times 4! + \sqrt{4}$ Steve Wilson, 9/05 Raytown, MO |
219 (3.8) $\sqrt[.4]{\dfrac{4}{.\overline{4}}} - 4!$ Steve Wilson, 8/07 Raytown, MO |
220 (3.4) $\sqrt{4} \times \dfrac{44}{.4}$ Ralph Jeffords, 4/07 Centreville, VA |
|
221 (2.6) $\dfrac{4}{4\% \times .\overline{4}} - 4$ Ralph Jeffords, 1/07 Centreville, VA |
222 (3.2) $\dfrac{444}{\sqrt{4}}$ Carolyn Neptune, 1/06 Prairie Village, KS |
223 (3.8) $\dfrac{4}{4\% \times .\overline{4}} - \sqrt{4}$ Ralph Jeffords, 1/07 Centreville, VA |
224 (2.6) $\dfrac{ \dfrac{4}{.\overline{4}\%} - 4}{4}$ Dave Jones, 6/07 Coventry, England |
225 (2.6) $\dfrac{4}{4\% \times .\overline{44}}$ Ralph Jeffords, 1/07 Centreville, VA |
226 (2.6) $\dfrac{ \dfrac{4}{.\overline{4}\%} + 4}{4}$ Dave Jones, 6/07 Coventry, England |
227 (3.8) $\dfrac{4}{4\% \times .\overline{4}} + \sqrt{4}$ Steve Wilson, 8/07 Raytown, MO |
228 (3.2) $4^4 - 4! - 4$ Steve Wilson, 7/05 Raytown, MO |
229 (2.6) $\dfrac{4}{4\% \times .\overline{4}} + 4$ Ralph Jeffords, 1/07 Centreville, VA |
230 (3.4) $4^4 - 4! - \sqrt{4}$ Ralph Jeffords, 5/07 Centreville, VA |
|
231 (3.8) $\dfrac{ \dfrac{4}{.\overline{4}\%} + 4!}{4}$ Steve Wilson, 1/08 Raytown, MO |
232 (3.4) $\sqrt{(4 \times 4)^4} - 4!$ Steve Wilson, 2/08 Raytown, MO |
233 (4.2) $\sqrt{ \sqrt{ .\overline{4}\% ^{-4}}} + 4 + 4$ Steve Wilson, 12/08 Raytown, MO |
234 (2.6) $\dfrac{ \dfrac{4}{4\%} + 4}{.\overline{4}}$ Dave Jones, 6/07 Coventry, England |
235 (2.8) $\dfrac{ \dfrac{4}{.\overline{4}} + .4}{4\%}$ Dave Jones, 6/07 Coventry, England |
236 (3.2) $4^4 - 4! + 4$ Ralph Jeffords, 7/07 Centreville, VA |
237 (4.2) $\dfrac{ \dfrac{\sqrt{4}}{.\overline{4}\%} + 4!}{\sqrt{4}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
238 (3.6) $\dfrac{4}{.4} \times 4! - \sqrt{4}$ Steve Wilson, 9/05 Raytown, MO |
239 (3.6) $\sqrt[.4]{\dfrac{4}{.\overline{4}}} - 4$ Steve Wilson, 8/07 Raytown, MO |
240 (2.4) $\dfrac{ \dfrac{4}{4\%} - 4}{.4}$ Dave Jones, 7/07 Coventry, England |
|
241 (3.2) $\dfrac{ \dfrac{.\overline{4}}{.4\%} - 4}{.\overline{4}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
242 (3.6) $4! \times \dfrac{4}{.4} + \sqrt{4}$ Steve Wilson, 2/08 Raytown, MO |
243 (3.4) $\sqrt[ \sqrt{4\%}]{4 - \dfrac44}$ Steve Wilson, 10/08 Raytown, MO |
244 (3.4) $4^4 - \dfrac{4!}{\sqrt{4}}$ Ralph Jeffords, 7/07 Centreville, VA |
245 (3.6) $\dfrac{4! \times 4 + \sqrt{4}}{.4}$ Steve Wilson, 5/08 Raytown, MO |
246 (2.4) $\dfrac{4}{4 \times .4\%} - 4$ Dave Jones, 7/07 Coventry, England |
247 (3.4) $4^4 - \dfrac{4}{.\overline{4}}$ Ralph Jeffords, 7/07 Centreville, VA |
248 (3.0) $4^4 - 4 - 4$ Kelsey Thomas, 2/05 Olathe, KS |
249 (2.4) $\dfrac{ \dfrac{4}{.4\%} - 4}{4}$ Dave Jones, 8/07 Coventry, England |
250 (2.8) $\dfrac{4.\overline{4}}{4 \times .\overline{4}\%}$ Dave Jones, 1/08 Coventry, England |
|
251 (2.4) $\dfrac{ \dfrac{4}{.4\%} + 4}{4}$ Dave Jones, 8/07 Coventry, England |
252 (3.2) $4^4 - \sqrt{4 \times 4}$ Ralph Jeffords, 9/07 Centreville, VA |
253 (3.6) $4^4 - \sqrt{ \dfrac{4}{.\overline{4}}}$ Ralph Jeffords, 7/07 Centreville, VA |
254 (2.4) $\dfrac{4}{4 \times .4\%} + 4$ Dave Jones, 8/07 Coventry, England |
255 (3.0) $4^4 - \dfrac44$ Jared Northrup, 4/03 Lawrence, KS |
256 (1.0) $4 \times 4 \times 4 \times 4$ Joseph Mavungu, 3/03 Olathe, KS |
257 (3.0) $4^4 + \dfrac44$ Cate Henderson, 4/05 Merriam, KS |
258 (3.2) $4^4 + 4 - \sqrt{4}$ Steve Wilson, 10/05 Raytown, MO |
259 (3.2) $\dfrac{ \dfrac{.\overline{4}}{.4\%} + 4}{.\overline{4}}$ Steve Wilson, 10/08 Raytown, MO |
260 (2.4) $\dfrac{ \dfrac{4}{4\%} + 4}{.4}$ Dave Jones, 8/07 Coventry, England |
|
261 (3.4) $4^4 + \dfrac{\sqrt{4}}{.4}$ Carolyn Neptune, 5/07 Prairie Village, KS |
262 (3.2) $4^4 + 4 + \sqrt{4}$ Steve Wilson, 11/07 Raytown, MO |
263 (4.8) $4^4 + 4 + \coth \ln \sqrt{\sqrt{4}}$ Steve Wilson, 1/08 Raytown, MO |
264 (3.0) $4^4 + 4 + 4$ Sydney Barker, 5/03 Stilwell, KS |
265 (3.4) $4^4 + \dfrac{4}{.\overline{4}}$ Steve Wilson, 11/07 Raytown, MO |
266 (3.2) $4^4 + \dfrac{4}{.4}$ Carolyn Neptune, 3/07 Prairie Village, KS |
267 (3.8) $\sqrt[.4]{\dfrac{4}{.\overline{4}}} + 4!$ Steve Wilson, 8/07 Raytown, MO |
268 (3.4) $4^4 + \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 11/05 Raytown, MO |
269 (4.2) $\sqrt{\sqrt{ .\overline{4}\% ^{-4}}} + 44$ Steve Wilson, 12/08 Raytown, MO |
270 (3.0) $\dfrac{4 \times .4 - .4}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
|
271 (4.4) $4^4 + \sqrt{\sqrt{\sqrt{ .\overline{4}\% ^{-4}}}}$ Steve Wilson, 12/08 Raytown, MO |
272 (3.0) $4^4 + 4 \times 4$ Cate Henderson, 5/05 Merriam, KS |
273 (4.6) $\sqrt{\sqrt{ .\overline{4}\% ^{-4}}} + 4! + 4!$ Steve Wilson, 12/08 Raytown, MO |
274 (3.4) $\dfrac{4}{4 \times 4 \pmf} + 4!$ Steve Wilson, 10/08 Raytown, MO |
275 (2.2) $\dfrac{44}{4 \times 4\%}$ Dave Jones, 3/06 Coventry, England |
276 (3.2) $4^4 + 4! - 4$ Steve Wilson, 11/07 Raytown, MO |
277 (4.6) $4^4 + \cot\arctan(4\%) - 4$ Steve Wilson, 9/23 Lawrence, KS |
278 (3.4) $4^4 + 4! - \sqrt{4}$ Steve Wilson, 11/05 Raytown, MO |
279 (3.8) $\dfrac{\dfrac{4}{4\%} + 4!}{.\overline{4}}$ Paolo Pellegrini, 5/08 Martina Franca, Italy |
280 (3.4) $\sqrt{(4 \times 4)^4} + 4!$ Steve Wilson, 2/08 Raytown, MO |
|
281 (3.8) $4^4 + \sqrt{\sqrt{ 4\% ^{-4}}}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
282 (3.4) $4^4 + 4! + \sqrt{4}$ Steve Wilson, 5/08 Raytown, MO |
283 (4.8) $4^4 + \cot\arctan(4\%) + \sqrt{4}$ Steve Wilson, 9/23 Lawrence, KS |
284 (3.2) $4^4 + 4! + 4$ Steve Wilson, 11/07 Raytown, MO |
285 (4.2) $\dfrac{ 4! + \dfrac{.4}{.\overline{4}\%}}{.4}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
286 (3.8) $4^4 + \sqrt{ \dfrac{4}{.\overline{4}\%}}$ Ralph Jeffords, 9/07 Centreville, VA |
287 (3.8) $\dfrac{4! \times 4! - \sqrt{4}}{\sqrt{4}}$ Steve Wilson, 5/08 Raytown, MO |
288 (3.2) $4^4 + \sqrt[.4]{4}$ Ralph Jeffords, 12/07 Centreville, VA |
289 (3.8) $\dfrac{4! \times 4! + \sqrt{4}}{\sqrt{4}}$ Steve Wilson, 5/08 Raytown, MO |
290 (3.8) $4! \times \dfrac{4!}{\sqrt{4}} + \sqrt{4}$ Steve Wilson, 4/08 Raytown, MO |
|
291 (4.4) $\sqrt{ \dfrac{4}{.\overline{4}\%\%}} - \dfrac{4}{.\overline{4}}$ Ralph Jeffords, 10/07 Centreville, VA |
292 (3.6) $4! \times \dfrac{4!}{\sqrt{4}} + 4$ Steve Wilson, 4/08 Raytown, MO |
293 (4.8) $\coth\ln\coth\arsinh(4 + 4 + 4) + 4$ Steve Wilson, 9/23 Lawrence, KS |
294 (4.0) $\dfrac{4! - 4.4}{\sqrt{.\overline{4}\%}}$ Steve Wilson, 11/08 Raytown, MO |
295 (3.6) $\dfrac{4! - .4}{(4 + 4)\%}$ Paolo Pellegrini, 5/08 Martina Franca, Italy |
296 (3.4) $\dfrac{4!}{(4 + 4)\%} - 4$ Steve Wilson, 10/08 Raytown, MO |
297 (3.8) $\dfrac{4! - 4!\%}{(4 + 4)\%}$ Steve Wilson, 7/24 Lawrence, KS |
298 (3.6) $\dfrac{ \dfrac{4!}{4\%} - 4}{\sqrt{4}}$ Steve Wilson, 5/08 Raytown, MO |
299 (3.8) $\dfrac{ \dfrac{4!}{4\%} - \sqrt{4}}{\sqrt{4}}$ Steve Wilson, 5/08 Raytown, MO |
300 (2.2) $\dfrac{4 + 4 + 4}{4\%}$ Dave Jones, 3/06 Coventry, England |
|
301 (3.8) $\dfrac{ \dfrac{4!}{4\%} + \sqrt{4}}{\sqrt{4}}$ Steve Wilson, 5/08 Raytown, MO |
302 (3.6) $\dfrac{ \dfrac{4!}{4\%} + 4}{\sqrt{4}}$ Steve Wilson, 5/08 Raytown, MO |
303 (3.8) $\dfrac{4! + 4!\%}{(4 + 4)\%}$ Steve Wilson, 7/24 Lawrence, KS |
304 (3.4) $\dfrac{4!}{(4 + 4)\%} + 4$ Paolo Pellegrini, 5/08 Martina Franca, Italy |
305 (3.6) $\dfrac{4! + .4}{(4 + 4)\%}$ Paolo Pellegrini, 5/08 Martina Franca, Italy |
306 (3.4) $4^4 + \dfrac{\sqrt{4}}{4\%}$ Paolo Pellegrini, 5/08 Martina Franca, Italy |
307 (4.6) $4^4 + 4! \times \cosh\ln 4$ Steve Wilson, 9/23 Lawrence, KS |
308 (4.0) $\sqrt{\dfrac{4}{.\overline{4}\%\%}} + 4 + 4$ Ralph Jeffords, 2/08 Centreville, VA |
309 (4.4) $\sqrt{\dfrac{4}{.\overline{4}\%\%}} + \dfrac{4}{.\overline{4}}$ Steve Wilson, 5/08 Raytown, MO |
310 (3.2) $\dfrac{4 \times .\overline{4} - .4}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
|
311 (5.2) $\cot\arctan (4\pm) + \dfrac{4! + .4}{.4}$ Steve Wilson, 9/08 Raytown, MO |
312 (3.6) $4! \times \left(4 + \dfrac{4}{.\overline{4}} \right)$ Paolo Pellegrini, 5/08 Martina Franca, Italy |
313 (4.8) $\dfrac{\cot\arctan(4\%\%) + 4}{4 + 4}$ Steve Wilson, 9/23 Lawrence, KS |
314 (4.6) $\cot\arctan (4\pm) + 4 \times 4 \times 4$ Steve Wilson, 6/08 Raytown, MO |
315 (2.8) $\dfrac{\dfrac44 + .4}{.\overline{4}\%}$ Dave Jones, 11/07 Coventry, England |
316 (3.4) $4^4 + \dfrac{4!}{.4}$ Paolo Pellegrini, 5/08 Martina Franca, Italy |
317 (5.2) $\cot\arctan (.\overline{4}\%) + 4 \times 4! - 4$ Steve Wilson, 7/08 Raytown, MO |
318 (3.8) $\sqrt{ \dfrac{4}{4^{-4}\%}} - \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
319 (4.8) $\dfrac{4}{\left(\cosh\ln\sqrt{4}\right)\%} - \dfrac44$ Steve Wilson, 9/23 Lawrence, KS |
320 (3.2) $(4! - 4) \times 4 \times 4$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
|
321 (4.4) $\sqrt{\sqrt{ .\overline{4}\% ^{-4}}} + 4! \times 4$ Steve Wilson, 12/08 Raytown, MO |
322 (3.8) $\sqrt{ \dfrac{4}{4^{-4}\%}} + \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
323 (5.4) $\cot\arctan (.\overline{4}\%) + \dfrac{4}{4\%} - \sqrt{4}$ Steve Wilson, 7/08 Raytown, MO |
324 (3.0) $\dfrac{4}{.\overline{4}\%} \times (.4 - 4\%)$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
325 (2.6) $\dfrac{4 + \dfrac{4}{.\overline{4}}}{4\%}$ Dave Jones, 11/07 Coventry, England |
326 (4.2) $\dfrac{4! - \sqrt{4}}{\sqrt{.\overline{4}\%}} - 4$ Steve Wilson, 11/08 Raytown, MO |
327 (5.4) $\cot\arctan (.\overline{4}\%) + \dfrac{4}{4\%} + \sqrt{4}$ Steve Wilson, 7/08 Raytown, MO |
328 (3.6) $\dfrac{4 + 4^4\%}{(\sqrt{4})\%}$ Steve Wilson, 7/24 Lawrence, KS |
329 (5.0) $\dfrac{4! - \sqrt{4} - \sqrt{.\overline{4}\%}}{\sqrt{.\overline{4}\%}}$ Steve Wilson, 11/08 Raytown, MO |
330 (4.2) $\dfrac{4! - \sqrt{4}}{\sqrt{.\overline{44}\%}}$ Steve Wilson, 7/24 Lawrence, KS |
|
331 (5.0) $\dfrac{4! - \sqrt{4} + \sqrt{.\overline{4}\%}}{\sqrt{.\overline{4}\%}}$ Steve Wilson, 11/08 Raytown, MO |
332 (4.2) $\dfrac{4!}{\sqrt{.\overline{4}\%}} - 4! - 4$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
333 (3.8) $\dfrac{\sqrt{4}}{4! \pmf} \times (4 - 4 \pm)$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
334 (4.2) $\dfrac{4! - \sqrt{4}}{\sqrt{.\overline{4}\%}} + 4$ Steve Wilson, 11/08 Raytown, MO |
335 (4.8) $\dfrac{4!}{\sqrt{.\overline{4}\%}} - \sqrt{\sqrt{ 4\%^{-4}}}$ Steve Wilson, 10/08 Raytown, MO |
336 (3.4) $4! \times \left(4 + \dfrac{4}{.4} \right)$ Paolo Pellegrini, 5/08 Martina Franca, Italy |
337 (4.8) $4^4 + \left(\coth\ln\sqrt{\sqrt{4}}\right)^4$ Steve Wilson, 9/23 Lawrence, KS |
338 (3.8) $\dfrac{\sqrt{(4! + \sqrt{4})^4}}{\sqrt{4}}$ Steve Wilson, 5/08 Raytown, MO |
339 (4.6) $\dfrac{4! + \sqrt{4\%}}{\sqrt{.\overline{4}\%}} - 4!$ Steve Wilson, 11/08 Raytown, MO |
340 (3.4) $\dfrac{.4 + \dfrac{.\overline{4}}{.4}}{.\overline{4}\%}$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
|
341 (4.8) $\coth\left(4 \times \arsinh\sqrt{\dfrac{4!}{4}}\right) + 4$ Steve Wilson, 9/23 Lawrence, KS |
342 (4.2) $\dfrac{(4 - \sqrt{4\%}) \times .4}{.\overline{4}\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
343 (4.0) $\sqrt{\sqrt{\sqrt{\left(\dfrac{4! + 4}{4}\right)^{4!}}}}$ Steve Wilson, 9/23 Lawrence, KS |
344 (2.8) $4 \times \left( \dfrac{.4}{.\overline{4}\%} - 4 \right)$ Dave Jones, 11/07 Coventry, England |
345 (4.0) $\dfrac{4! - \dfrac44}{\sqrt{.\overline{4}\%}}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
346 (3.8) $4^4 + \dfrac{.4}{.\overline{4}\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
347 (5.8) $\cot\arctan (.\overline{4}\%) + \left( \dfrac{\sqrt{4}}{.4} \right)! + \sqrt{4}$ Steve Wilson, 9/08 Raytown, MO |
348 (3.8) $\dfrac{4^4 - 4!}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
349 (5.4) $\cot\arctan (.\overline{4}\%) + \dfrac{4}{4\%} + 4!$ Steve Wilson, 7/08 Raytown, MO |
350 (2.4) $\dfrac{ \dfrac{4}{.4} + 4}{4\%}$ Dave Jones, 8/07 Coventry, England |
|
351 (3.0) $\dfrac{4 \times .4 - 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
352 (2.0) $44 \times (4 + 4)$ Brad Anderson, 9/06 Overland Park, KS |
353 (4.4) $\dfrac{4! - \sqrt{4\%}}{\sqrt{.\overline{4}\%}} - 4$ Steve Wilson, 11/08 Raytown, MO |
354 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\%} - 4! \times 4$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
355 (4.4) $\dfrac{4!}{\sqrt{.\overline{4}\%}} - \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 7/08 Raytown, MO |
356 (2.8) $\dfrac{.4}{.\overline{4}\%} \times 4 - 4$ Dave Jones, 11/07 Coventry, England |
357 (4.4) $\dfrac{4! - \dfrac{.4}{\sqrt{4}}}{\sqrt{.\overline{4}\%}}$ Steve Wilson, 11/08 Raytown, MO |
358 (4.0) $\dfrac{.4}{.\overline{4}\%} \times 4 - \sqrt{4}$ Steve Wilson, 7/08 Raytown, MO |
359 (3.4) $\dfrac{4 \times .4 - .\overline{4}\%}{.\overline{4}\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
360 (2.4) $\dfrac{4 \times 4}{4.\overline{4}\%}$ Dave Jones, 12/06 Coventry, England |
|
361 (3.4) $\dfrac{4 \times .4 + .\overline{4}\%}{.\overline{4}\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
362 (4.0) $\dfrac{.4}{.\overline{4}\%} \times 4 + \sqrt{4}$ Steve Wilson, 7/08 Raytown, MO |
363 (4.4) $\dfrac{4! + \dfrac{.4}{\sqrt{4}}}{\sqrt{.\overline{4}\%}}$ Steve Wilson, 11/08 Raytown, MO |
364 (2.8) $\dfrac{.4}{.\overline{4}\%} \times 4 + 4$ Dave Jones, 11/07 Coventry, England |
365 (4.4) $\dfrac{4!}{\sqrt{.\overline{4}\%}} + \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 7/08 Raytown, MO |
366 (4.2) $\dfrac{4!}{\sqrt{.\overline{4}\%}} + 4 + \sqrt{4}$ Steve Wilson, 7/08 Raytown, MO |
367 (4.4) $\dfrac{4! + \sqrt{4\%}}{\sqrt{.\overline{4}\%}} + 4$ Steve Wilson, 11/08 Raytown, MO |
368 (3.2) $(4 \times 4! - 4) \times 4$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
369 (3.0) $\dfrac{4 \times .4 + 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
370 (4.0) $\dfrac{4! + \dfrac{\sqrt{4}}{4\%}}{\sqrt{4\%}}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
|
371 (3.8) $\dfrac{4}{4! \times .\overline{4} \pmf} - 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
372 (3.8) $\dfrac{ (4 + \sqrt{4})! + 4!}{\sqrt{4}}$ Steve Wilson, 9/08 Raytown, MO |
373 (4.0) $\dfrac{4}{4! \times .\overline{4} \pmf} - \sqrt{4}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
374 (4.0) $\dfrac{ \dfrac{4}{.\overline{4}\pmf} - 4!}{4!}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
375 (3.4) $\dfrac{.4}{\left( \dfrac{.\overline{4}}{4} - .\overline{4}\% \right)\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
376 (2.8) $4 \times \left( 4 + \dfrac{.4}{.\overline{4}\%} \right)$ Dave Jones, 1/08 Coventry, England |
377 (4.0) $\dfrac{4}{4! \times .\overline{4} \pmf} + \sqrt{4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
378 (3.6) $\dfrac{4^4 - 4}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
379 (3.8) $\dfrac{4}{4! \times .\overline{4} \pmf} + 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
380 (3.2) $4 \times 4! \times 4 - 4$ Steve Wilson, 6/08 Raytown, MO |
|
381 (3.8) $\dfrac{4^4 - \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
382 (3.4) $4 \times 4! \times 4 - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
383 (4.2) $\dfrac{4^4 - \sqrt{.\overline{4}}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
384 (2.2) $4 \times \left( \dfrac{4}{4\%} - 4 \right)$ Dave Jones, 12/06 Coventry, England |
385 (4.2) $\dfrac{4^4 + \sqrt{.\overline{4}}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
386 (3.4) $4 \times 4! \times 4 + \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
387 (3.8) $\dfrac{4^4 + \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
388 (3.2) $4 \times 4! \times 4 + 4$ Joseph Mavungu, 4/03 Olathe, KS |
389 (4.8) $4 \times (4! \times 4 + \cosh\ln\sqrt{4})$ Steve Wilson, 9/23 Lawrence, KS |
390 (2.4) $\dfrac{4 \times 4 - .4}{4\%}$ Dave Jones, 9/07 Coventry, England |
|
391 (3.2) $\dfrac{4 \times .\overline{4} - 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
392 (3.4) $4 \times \left( \dfrac{4}{4\%} - \sqrt{4} \right)$ Steve Wilson, 6/08 Raytown, MO |
393 (5.2) $\left( \dfrac{\sqrt{4}}{4 \pmf} + 4! \right) \times \sinh \ln \sqrt{4}$ Steve Wilson, 9/08 Raytown, MO |
394 (3.6) $\dfrac{4 \times 4 - 4!\%}{4\%}$ Steve Wilson, 6/08 Raytown, MO |
395 (3.6) $\dfrac{4 \times 4 - \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
396 (2.2) $\dfrac{4}{4\%} \times 4 - 4$ David Caton, 10/04 Shawnee, KS |
397 (4.6) $\dfrac{\sqrt{4} - (4! - .\overline{4})\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
398 (3.4) $\dfrac{4}{4\%} \times 4 - \sqrt{4}$ Steve Wilson, 2/08 Raytown, MO |
399 (2.4) $\dfrac{4 \times 4 - 4\%}{4\%}$ Dave Jones, 9/07 Coventry, England |
400 (3.0) $(4 - .4) \times \dfrac{.\overline{4}}{.4\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201-1600), Page 5 (1601-2000), Page 6 (2001-2400), Page 7 (2401-2800), Page 8 (2801-3200), Page 9 (3201-3600), Page 10 (3601-4000), Page 11 (4001+).