$\def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}}$

Integermania!

First Four Nonsquares

The first four nonsquare numbers are 2, 3, 5, and 6. Create each of the positive integers using one copy of each number, and any standard operations.  All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.

A computer analysis by Paolo Pellegrini, who proposed this problem, shows that if a set contains 4 digits between 1 and 9, then the largest possible level 2.8 exquisiteness is achieved by the first four nonsquares.

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+).

 1 (1.0) $6 - 5 \times (3 - 2)$ Paolo Pellegrini, 3/11Martina Franca, Italy 2 (1.0) $6 - 2 \times (5 - 3)$ Paolo Pellegrini, 3/11Martina Franca, Italy 3 (1.0) $3 \times (5 + 2 - 6)$ Paolo Pellegrini, 3/11Martina Franca, Italy 4 (1.0) $2 + 3 + 5 - 6$ Paolo Pellegrini, 3/11Martina Franca, Italy 5 (1.0) $3 \times (6 - 5) + 2$ Paolo Pellegrini, 3/11Martina Franca, Italy 6 (1.0) $6 + 5 - 3 - 2$ Steve Wilson, 3/11Raytown, MO 7 (1.0) $5 \times 3 - 6 - 2$ Steve Wilson, 3/11Raytown, MO 8 (1.0) $(6 - 2) \times (5 - 3)$ Steve Wilson, 3/11Raytown, MO 9 (1.0) $(6 - 3) \times (5 - 2)$ Steve Wilson, 3/11Raytown, MO 10 (1.0) $6 \times 2 - 5 + 3$ Steve Wilson, 3/11Raytown, MO 11 (1.0) $3 \times 5 - 6 + 2$ Kenneth Chapman, 3/11Santa Paula, CA 12 (1.0) $3 \times 5 - \dfrac62$ Kenneth Chapman, 3/11Santa Paula, CA 13 (1.0) $2 \times 5 + 6 - 3$ Kenneth Chapman, 3/11Santa Paula, CA 14 (1.0) $(2 + 5) \times \dfrac63$ Kenneth Chapman, 3/11Santa Paula, CA 15 (1.0) $3 \times 6 - 5 + 2$ Kenneth Chapman, 3/11Santa Paula, CA 16 (1.0) $2 + 3 + 5 + 6$ Carolyn Neptune, 3/11Prairie Village, KS 17 (1.0) $2 \times 3 + 5 + 6$ Carolyn Neptune, 3/11Prairie Village, KS 18 (1.0) $3 \times 5 + \dfrac62$ Carolyn Neptune, 3/11Prairie Village, KS 19 (1.0) $2 \times 5 + 3 + 6$ Carolyn Neptune, 3/11Prairie Village, KS 20 (1.0) $2 \times 6 + 3 + 5$ Carolyn Neptune, 3/11Prairie Village, KS 21 (1.0) $3 \times 6 + 5 - 2$ Kenneth Chapman, 4/11Santa Paula, CA 22 (1.0) $2 \times (3 + 5) + 6$ Steve Wilson, 5/11Raytown, MO 23 (1.0) $3 \times 5 + 6 + 2$ Kenneth Chapman, 4/11Santa Paula, CA 24 (1.0) $5 \times 6 - 3 \times 2$ Kenneth Chapman, 4/11Santa Paula, CA 25 (1.0) $5 \times (6 + 2 - 3)$ Kenneth Chapman, 4/11Santa Paula, CA 26 (1.0) $2 \times (6 \times 3 - 5)$ Steve Wilson, 4/11Raytown, MO 27 (1.0) $5 \times 3 + 6 \times 2$ Carolyn Neptune, 4/11Prairie Village, KS 28 (1.0) $6 \times 3 + 5 \times 2$ Carolyn Neptune, 4/11Prairie Village, KS 29 (1.0) $5 \times 6 + 2 - 3$ Carolyn Neptune, 4/11Prairie Village, KS 30 (1.0) $5 \times 6 \times (3 - 2)$ Carolyn Neptune, 4/11Prairie Village, KS 31 (1.0) $5 \times 6 + 3 - 2$ Carolyn Neptune, 4/11Prairie Village, KS 32 (1.0) $(5 + 3) \times (6 - 2)$ Steve Wilson, 4/11Raytown, MO 33 (1.0) $6 \times \left(3 + \dfrac52 \right)$ Steve Wilson, 4/11Raytown, MO 34 (1.0) $6 \times \left(5 + \dfrac23 \right)$ Steve Wilson, 4/11Raytown, MO 35 (1.0) $5 \times 6 + 3 + 2$ Steve Wilson, 4/11Raytown, MO 36 (1.0) $2 \times 3 \times 5 + 6$ Tram Huynh, 4/11Olathe, KS 37 (1.0) $(6 + 2) \times 5 - 3$ Kenneth Chapman, 5/11Santa Paula, CA 38 (2.0) $63 - 25$ Paolo Pellegrini, 4/11Martina Franca, Italy 39 (1.0) $(5 + 2) \times 6 - 3$ Tram Huynh, 4/11Olathe, KS 40 (2.2) $\dfrac{23}{.5} - 6$ Paolo Pellegrini, 4/11Martina Franca, Italy 41 (1.0) $2 \times 3 \times 6 + 5$ Kenneth Chapman, 5/11Santa Paula, CA 42 (1.0) $(3 \times 5 + 6) \times 2$ Kenneth Chapman, 5/11Santa Paula, CA 43 (1.0) $(3 + 6) \times 5 - 2$ Kenneth Chapman, 5/11Santa Paula, CA 44 (2.2) $32 +\dfrac{6}{.5}$ Paolo Pellegrini, 4/11Martina Franca, Italy 45 (1.0) $(5 + 2) \times 6 + 3$ Tram Huynh, 4/11Olathe, KS 46 (1.0) $(3 + 5) \times 6 - 2$ Kenneth Chapman, 5/11Santa Paula, CA 47 (1.0) $(6 + 3) \times 5 + 2$ Ralph Jeffords, 5/11Centreville, VA 48 (1.0) $3 \times (2 \times 5 + 6)$ Steve Wilson, 5/11Raytown, MO 49 (2.0) $52 + 3 - 6$ Paolo Pellegrini, 4/11Martina Franca, Italy 50 (1.0) $6 \times (5 + 3) + 2$ Steve Wilson, 5/11Raytown, MO 51 (1.0) $3 \times (6 \times 2 + 5)$ Steve Wilson, 5/11Raytown, MO 52 (2.0) $26 \times (5 - 3)$ Paolo Pellegrini, 4/11Martina Franca, Italy 53 (2.0) $63 - 2 \times 5$ Salem Bekele, 5/11Olathe, KS 54 (1.0) $6 \times 3 \times (5 - 2)$ Steve Wilson, 5/11Raytown, MO 55 (1.0) $(2 + 3) \times (5 + 6)$ Carolyn Neptune, 5/11Prairie Village, KS 56 (2.0) $63 - 5 - 2$ Carolyn Neptune, 5/11Prairie Village, KS 57 (1.0) $5 \times 6 \times 2 - 3$ Salem Bekele, 5/11Olathe, KS 58 (2.0) $2 \times (35 - 6)$ Carolyn Neptune, 5/11Prairie Village, KS 59 (2.0) $65 - 2 \times 3$ Salem Bekele, 5/11Olathe, KS 60 (1.0) $6 \times (2 + 3 + 5)$ Carolyn Neptune, 5/11Prairie Village, KS 61 (2.0) $35 + 26$ Tram Huynh, 5/11Olathe, KS 62 (2.0) $56 + 2 \times 3$ Salem Bekele, 5/11Olathe, KS 63 (1.0) $5 \times 6 \times 2 + 3$ Salem Bekele, 5/11Olathe, KS 64 (1.0) $(2 + 6) \times (3 + 5)$ Kenneth Chapman, 6/11Santa Paula, CA 65 (2.0) $65 \times (3 - 2)$ Carolyn Neptune, 5/11Prairie Village, KS 66 (1.0) $2 \times 3 \times (5 + 6)$ Tram Huynh, 4/11Olathe, KS 67 (2.0) $2 \times 36 - 5$ Steve Wilson, 6/11Raytown, MO 68 (2.2) $62 + \dfrac{3}{.5}$ Steve Wilson, 6/11Raytown, MO 69 (2.0) $25 \times 3 - 6$ Tram Huynh, 5/11Olathe, KS 70 (2.0) $62 + 3 + 5$ Kenneth Chapman, 6/11Santa Paula, CA 71 (2.0) $65 + 2 \times 3$ Paolo Pellegrini, 5/11Martina Franca, Italy 72 (2.2) $52 + \dfrac{6}{.3}$ Paolo Pellegrini, 5/11Martina Franca, Italy 73 (2.0) $26 \times 3 - 5$ Paolo Pellegrini, 5/11Martina Franca, Italy 74 (2.2) $\dfrac{36}{.5} + 2$ Paolo Pellegrini, 5/11Martina Franca, Italy 75 (1.0) $5 \times (2 \times 6 + 3)$ Paolo Pellegrini, 5/11Martina Franca, Italy 76 (2.0) $2 \times 35 + 6$ Steve Wilson, 1/12Raytown, MO 77 (2.0) $2 \times 36 + 5$ Steve Wilson, 6/11Raytown, MO 78 (1.0) $6 \times (5 \times 3 - 2)$ Kenneth Chapman, 6/11Santa Paula, CA 79 (2.0) $23 + 56$ Kenneth Chapman, 6/11Santa Paula, CA 80 (1.0) $5 \times (6 \times 3 - 2)$ Kenneth Chapman, 6/11Santa Paula, CA 81 (2.0) $3 \times 25 + 6$ Steve Wilson, 6/11Raytown, MO 82 (2.0) $2 \times (35 + 6)$ Carolyn Neptune, 6/11Prairie Village, KS 83 (2.0) $3 \times 26 + 5$ Kenneth Chapman, 7/11Santa Paula, CA 84 (1.0) $(6 \times 5 - 2) \times 3$ Ralph Jeffords, 7/11Centreville, VA 85 (2.0) $5 \times (23 - 6)$ Carolyn Neptune, 6/11Prairie Village, KS 86 (2.2) $\dfrac{3}{5\%} + 26$ Steve Wilson, 1/12Raytown, MO 87 (2.2) $3 \times 5 \times (6 - .2)$ Steve Wilson, 1/12Raytown, MO 88 (1.0) $3 \times 5 \times 6 - 2$ Tram Huynh, 5/11Olathe, KS 89 (2.2) $5 \times (3 \times 6 - .2)$ Paolo Pellegrini, 10/11Martina Franca, Italy 90 (1.0) $2 \times 5 \times (3 + 6)$ Carolyn Neptune, 7/11Prairie Village, KS 91 (2.0) $26 \times 3.5$ Paolo Pellegrini, 6/11Martina Franca, Italy 92 (1.0) $6 \times 5 \times 3 + 2$ Paolo Pellegrini, 6/11Martina Franca, Italy 93 (2.0) $3 \times (25 + 6)$ Paolo Pellegrini, 6/11Martina Franca, Italy 94 (2.0) $2 \times (53 - 6)$ Paolo Pellegrini, 6/11Martina Franca, Italy 95 (2.2) $2 \times \dfrac{3}{6\%} - 5$ Paolo Pellegrini, 6/11Martina Franca, Italy 96 (1.0) $6 \times 2 \times (3 + 5)$ Carolyn Neptune, 6/11Prairie Village, KS 97 (2.0) $62 + 35$ Carolyn Neptune, 6/11Prairie Village, KS 98 (2.2) $5 \times \dfrac{6}{.3} - 2$ Carolyn Neptune, 7/11Prairie Village, KS 99 (2.4) $2 \times \left( \dfrac{3}{6\%} - .5 \right)$ Steve Wilson, 1/12Raytown, MO 100 (1.0) $(3 \times 6 + 2) \times 5$ Kenneth Chapman, 7/11Santa Paula, CA 101 (2.4) $2 \times \left( \dfrac{3}{6\%} + .5 \right)$ Paolo Pellegrini, 8/11Martina Franca, Italy 102 (1.0) $6 \times (3 \times 5 + 2)$ Carolyn Neptune, 7/11Prairie Village, KS 103 (2.2) $\dfrac{2}{5\%} + 63$ Kenneth Chapman, 12/11Santa Paula, CA 104 (2.0) $52 \times \dfrac63$ Paolo Pellegrini, 8/11Martina Franca, Italy 105 (2.0) $35 \times \dfrac62$ Ralph Jeffords, 7/11Centreville, VA 106 (2.0) $2 \times (56 - 3)$ Paolo Pellegrini, 8/11Martina Franca, Italy 107 (2.8) $\dfrac{.6}{.\overline{5}\%} - 3 + 2$ Ralph Jeffords, 8/11Centreville, VA 108 (2.0) $6 \times (23 - 5)$ Paolo Pellegrini, 8/11Martina Franca, Italy 109 (2.0) $56 \times 2 - 3$ Ralph Jeffords, 7/11Centreville, VA 110 (2.2) $2 \times \left( \dfrac{3}{6\%} + 5 \right)$ Steve Wilson, 1/12Raytown, MO 111 (2.4) $6 \times \left( \dfrac{3}{.\overline{2}} + 5 \right)$ Paolo Pellegrini, 8/11Martina Franca, Italy 112 (2.0) $53 \times 2 + 6$ Ralph Jeffords, 7/11Centreville, VA 113 (2.4) $\dfrac{6-.2}{5\%} - 3$ Ralph Jeffords, 9/11Centreville, VA 114 (2.2) $\dfrac{6}{5\%} - 2 \times 3$ Ralph Jeffords, 9/11Centreville, VA 115 (2.0) $56 \times 2 + 3$ Ralph Jeffords, 7/11Centreville, VA 116 (2.0) $2 \times (63 - 5)$ Ralph Jeffords, 10/11Centreville, VA 117 (2.4) $\dfrac{63+2}{.\overline{5}}$ Ralph Jeffords, 9/11Centreville, VA 118 (2.0) $23.6 \times 5$ Steve Wilson, 10/11Raytown, MO 119 (2.2) $\dfrac{6}{5\%} + 2 - 3$ Kenneth Chapman, 12/11Santa Paula, CA 120 (1.0) $3 \times 5 \times (2 + 6)$ Ralph Jeffords, 9/11Centreville, VA 121 (2.0) $63 \times 2 - 5$ Steve Wilson, 9/11Raytown, MO 122 (2.2) $62 + \dfrac{3}{5\%}$ Paolo Pellegrini, 9/11Martina Franca, Italy 123 (2.4) $\dfrac{6 + \dfrac{.3}{2}}{5\%}$ Paolo Pellegrini, 9/11Martina Franca, Italy 124 (2.0) $62 \times (5 - 3)$ Paolo Pellegrini, 9/11Martina Franca, Italy 125 (2.2) $25 \times \dfrac{3}{.6}$ Carolyn Neptune, 9/11Prairie Village, KS 126 (1.0) $(5 + 2) \times 3 \times 6$ Steve Wilson, 9/11Raytown, MO 127 (2.0) $65 \times 2 - 3$ Sarah Grant, 9/11Olathe, KS 128 (2.2) $\dfrac{63}{.5} + 2$ Paolo Pellegrini, 9/11Martina Franca, Italy 129 (2.8) $\dfrac{6 + 2\%}{(5 - .\overline{3})\%}$ Paolo Pellegrini, 9/11Martina Franca, Italy 130 (2.2) $\dfrac{62 + 3}{.5}$ Carolyn Neptune, 10/11Prairie Village, KS 131 (2.0) $63 \times 2 + 5$ Sarah Grant, 9/11Olathe, KS 132 (2.0) $6 \times (25 - 3)$ Ralph Jeffords, 12/11Centreville, VA 133 (2.0) $5 \times 26 + 3$ Kenneth Chapman, 9/11Santa Paula, CA 134 (2.8) $\dfrac{.3}{.\overline{2}\%} - 6 + 5$ Ralph Jeffords, 12/11Centreville, VA 135 (2.2) $5 \times \left( \dfrac{6}{.2} - 3 \right)$ Ralph Jeffords, 10/11Centreville, VA 136 (2.0) $2 \times (65 + 3)$ Carolyn Neptune, 10/11Prairie Village, KS 137 (2.8) $6 \times \left( \dfrac{5}{.\overline{2}} + .\overline{3} \right)$ Paolo Pellegrini, 11/11Martina Franca, Italy 138 (2.0) $3 \times (52 - 6)$ Steve Wilson, 2/12Raytown, MO 139 (2.2) $\dfrac{3}{2\%} - 6 - 5$ Steve Wilson, 10/11Raytown, MO 140 (2.0) $35 \times (6 - 2)$ Kenneth Chapman, 9/11Santa Paula, CA 141 (2.0) $23.5 \times 6$ Jordan Crawford, 8/11Overland Park, KS 142 (2.4) $\dfrac{3 - 6\%}{2\%} - 5$ Ralph Jeffords, 11/11Centreville, VA 143 (2.0) $6 \times 23 + 5$ Kenneth Chapman, 9/11Santa Paula, CA 144 (2.2) $\dfrac{36}{.25}$ Ralph Jeffords, 10/11Centreville, VA 145 (2.0) $5 \times (23 + 6)$ Carolyn Neptune, 9/11Prairie Village, KS 146 (2.4) $\dfrac{5 - 62\%}{3\%}$ Paolo Pellegrini, 11/11Martina Franca, Italy 147 (2.0) $6 \times 25 - 3$ Sarah Grant, 10/11Olathe, KS 148 (2.2) $\dfrac{6}{3\%} - 52$ Kenneth Chapman, 12/11Santa Paula, CA 149 (2.2) $\dfrac{3}{2\%} - 6 + 5$ Steve Wilson, 10/11Raytown, MO 150 (1.0) $6 \times 5 \times (2 + 3)$ Nathan Moore, 8/11Overland Park, KS 151 (2.2) $\dfrac{3}{2\%} + 6 - 5$ Steve Wilson, 10/11Raytown, MO 152 (2.2) $\dfrac{6}{5\%} + 32$ Kenneth Chapman, 12/11Santa Paula, CA 153 (2.0) $6 \times 25 + 3$ Nathan Moore, 10/11Overland Park, KS 154 (2.0) $32 \times 5 - 6$ Carolyn Neptune, 10/11Prairie Village, KS 155 (2.2) $\dfrac{36 - 5}{.2}$ Carolyn Neptune, 9/11Prairie Village, KS 156 (2.0) $52 \times (6 - 3)$ Ralph Jeffords, 2/12Centreville, VA 157 (2.2) $\dfrac{6 + 2}{5\%} - 3$ Steve Wilson, 2/12Raytown, MO 158 (2.2) $3 \times 52.\overline{6}$ Paolo Pellegrini, 10/11Martina Franca, Italy 159 (2.0) $53 \times \dfrac62$ Sarah Grant, 8/11Olathe, KS 160 (2.4) $\dfrac{6}{3\%} - \dfrac{2}{5\%}$ Steve Wilson, 11/11Raytown, MO 161 (2.2) $\dfrac{3}{2\%} + 6 + 5$ Paolo Pellegrini, 10/11Martina Franca, Italy 162 (2.0) $52 \times 3 + 6$ Steve Wilson, 9/11Raytown, MO 163 (2.0) $32.6 \times 5$ Steve Wilson, 10/11Raytown, MO 164 (2.4) $\dfrac{5}{3\%} - 2.\overline{6}$ Steve Wilson, 11/11Raytown, MO 165 (2.2) $(6 + 5) \times \dfrac{3}{.2}$ Steve Wilson, 2/12Raytown, MO 166 (2.0) $5 \times 32 + 6$ Sarah Grant, 8/11Olathe, KS 167 (2.0) $\dfrac{5}{3\%} + \dfrac26$ Steve Wilson, 2/12Raytown, MO 168 (2.0) $6 \times (23 + 5)$ Steve Wilson, 2/12Raytown, MO 169 (2.2) $\dfrac{35}{.2} - 6$ Kenneth Chapman, 11/11Santa Paula, CA 170 (2.0) $56 \times 3 + 2$ Sarah Grant, 9/11Olathe, KS 171 (2.0) $3 \times (62 - 5)$ Paolo Pellegrini, 11/11Martina Franca, Italy 172 (2.4) $\dfrac{35 - .6}{.2}$ Paolo Pellegrini, 11/11Martina Franca, Italy 173 (2.8) $\dfrac{.6}{.\overline{3}\%} - 5 - 2$ Paolo Pellegrini, 12/11Martina Franca, Italy 174 (2.0) $3 \times (56 + 2)$ Ralph Jeffords, 12/11Centreville, VA 175 (2.2) $\dfrac{6}{3\%} - 25$ Carolyn Neptune, 11/11Prairie Village, KS 176 (2.2) $32 \times (6 - .5)$ Paolo Pellegrini, 12/11Martina Franca, Italy 177 (2.8) $\dfrac{.6}{.\overline{3}\%} - 5 + 2$ Paolo Pellegrini, 10/11Martina Franca, Italy 178 (2.0) $\dfrac{356}{2}$ Steve Wilson, 9/11Raytown, MO 179 (2.2) $5 \times (36 - .2)$ Paolo Pellegrini, 12/11Martina Franca, Italy 180 (1.0) $2 \times 3 \times 5 \times 6$ Steve Wilson, 9/11Raytown, MO 181 (2.0) $62 \times 3 - 5$ Kenneth Chapman, 10/11Santa Paula, CA 182 (2.0) $36 \times 5 + 2$ Ralph Jeffords, 2/12Centreville, VA 183 (2.8) $\dfrac{.6}{.\overline{3}\%} + 5 - 2$ Paolo Pellegrini, 10/11Martina Franca, Italy 184 (2.2) $\dfrac{6 + 3.2}{5\%}$ Paolo Pellegrini, 12/11Martina Franca, Italy 185 (2.2) $\dfrac{36}{.2} + 5$ Paolo Pellegrini, 12/11Martina Franca, Italy 186 (2.4) $\dfrac{56 - .2}{.3}$ Paolo Pellegrini, 1/12Martina Franca, Italy 187 (2.0) $32 \times 6 - 5$ Kenneth Chapman, 10/11Santa Paula, CA 188 (2.2) $36 \times 5.\overline{2}$ Steve Wilson, 3/12Raytown, MO 189 (2.0) $3 \times (65 - 2)$ Ralph Jeffords, 12/11Centreville, VA 190 (2.0) $(36 + 2) \times 5$ Ralph Jeffords, 3/12Centreville, VA 191 (2.0) $62 \times 3 + 5$ Kenneth Chapman, 10/11Santa Paula, CA 192 (2.6) $\dfrac{32}{.\overline{6} - .5}$ Paolo Pellegrini, 1/12Martina Franca, Italy 193 (2.0) $65 \times 3 - 2$ Ralph Jeffords, 1/12Centreville, VA 194 (2.4) $\dfrac{3 - 2}{.5\%} - 6$ Paolo Pellegrini, 1/12Martina Franca, Italy 195 (2.0) $32.5 \times 6$ Sarah Grant, 8/11Olathe, KS 196 (2.4) $\dfrac{6}{3\%} - \dfrac{2}{.5}$ Ralph Jeffords, 1/12Centreville, VA 197 (2.0) $65 \times 3 + 2$ Kenneth Chapman, 10/11Santa Paula, CA 198 (2.0) $6 \times (35 - 2)$ Paolo Pellegrini, 1/12Martina Franca, Italy 199 (2.4) $\dfrac{6 - (5 - 2)\%}{3\%}$ Ralph Jeffords, 1/12Centreville, VA 200 (2.2) $\dfrac{6 + 3 - 5}{2\%}$ Kenneth Chapman, 11/11Santa Paula, CA 201 (2.0) $3 \times (65 + 2)$ Carolyn Neptune, 12/11Prairie Village, KS 202 (3.2) $\dfrac{.\overline{6} + .\overline{3}}{.5\%} + 2$ Ralph Jeffords, 4/12Centreville, VA 203 (2.2) $\dfrac{6}{3\%} + 5 - 2$ Carolyn Neptune, 11/11Prairie Village, KS 204 (2.4) $\dfrac{6}{3\%} + \dfrac{2}{.5}$ Ralph Jeffords, 2/12Centreville, VA 205 (2.2) $\dfrac{36 + 5}{.2}$ Ralph Jeffords, 2/12Centreville, VA 206 (2.2) $\dfrac{3}{2\%} + 56$ Steve Wilson, 11/11Raytown, MO 207 (2.2) $\dfrac{6}{3\%} + 5 + 2$ Carolyn Neptune, 11/11Prairie Village, KS 208 (2.0) $65 \times 3.2$ Nathan Moore, 10/11Overland Park, KS 209 (3.0) $6^3 - 5 - 2$ Paolo Pellegrini, 5/12Martina Franca, Italy 210 (2.2) $\dfrac{6}{3\%} + 2 \times 5$ Ralph Jeffords, 1/12Centreville, VA 211 (2.6) $\dfrac{6}{(3 - .\overline{2})\%} - 5$ Paolo Pellegrini, 2/12Martina Franca, Italy 212 (2.0) $53 \times (6 - 2)$ Carolyn Neptune, 12/11Prairie Village, KS 213 (2.8) $\dfrac{2 \times .6}{.\overline{5}\%} - 3$ Paolo Pellegrini, 1/12Martina Franca, Italy 214 (2.2) $\dfrac{5}{2\%} - 36$ Paolo Pellegrini, 2/12Martina Franca, Italy 215 (2.2) $\dfrac{3}{2\%} + 65$ Steve Wilson, 11/11Raytown, MO 216 (2.4) $(3 + 5) \times \dfrac{6}{.\overline{2}}$ Kenneth Chapman, 1/12Santa Paula, CA 217 (2.0) $62 \times 3.5$ Ralph Jeffords, 2/12Centreville, VA 218 (3.6) $\sqrt{ \dfrac{2}{5\% \pmf}} + 6 \times 3$ Steve Wilson, 5/12Raytown, MO 219 (2.8) $6 \times \dfrac{.2}{.\overline{5}\%} + 3$ Ralph Jeffords, 3/12Centreville, VA 220 (2.2) $\dfrac{5 + 6}{(2 + 3)\%}$ Kenneth Chapman, 1/12Santa Paula, CA 221 (2.6) $\dfrac{6}{(3 - .\overline{2})\%} + 5$ Paolo Pellegrini, 2/12Martina Franca, Italy 222 (2.0) $(32 + 5) \times 6$ Billie Jean Vazquez, 2/12Lenexa, KS 223 (2.4) $\dfrac{5 - .6}{2\%} + 3$ Kenneth Chapman, 1/12Santa Paula, CA 224 (2.8) $\left( \dfrac{3}{.\overline{6}\%} - 2 \right) \times .5$ Paolo Pellegrini, 2/12Martina Franca, Italy 225 (2.0) $25 \times (3 + 6)$ Kenneth Chapman, 1/12Santa Paula, CA 226 (2.8) $\left( \dfrac{3}{.\overline{6}\%} + 2 \right) \times .5$ Paolo Pellegrini, 2/12Martina Franca, Italy 227 (2.8) $\dfrac{3 \times .5}{.\overline{6}\%} + 2$ Paolo Pellegrini, 3/12Martina Franca, Italy 228 (2.4) $(6 - .3) \times \dfrac{2}{5\%}$ Paolo Pellegrini, 3/12Martina Franca, Italy 229 (2.0) $235 - 6$ Steve Wilson, 4/12Raytown, MO 230 (2.2) $\dfrac{2.3}{(6 - 5)\%}$ Steve Wilson, 4/12Raytown, MO 231 (2.0) $236 - 5$ Kenneth Chapman, 4/12Santa Paula, CA 232 (2.2) $\dfrac{5}{2\%} - 6 \times 3$ Kenneth Chapman, 2/12Santa Paula, CA 233 (3.2) $\dfrac{6!}{3} - 5 - 2$ Kenneth Chapman, 2/12Santa Paula, CA 234 (2.2) $2 \times \left( \dfrac{6}{5\%} - 3 \right)$ Steve Wilson, 4/12Raytown, MO 235 (2.2) $\dfrac{53 - 6}{.2}$ Steve Wilson, 7/12Raytown, MO 236 (2.8) $\dfrac{6.\overline{5}}{(3 - .\overline{2})\%}$ Ralph Jeffords, 5/12Centreville, VA 237 (2.2) $6 \times \dfrac{2}{5\%} - 3$ Paolo Pellegrini, 3/12Martina Franca, Italy 238 (2.4) $\dfrac{6}{(3 - .5)\%} - 2$ Paolo Pellegrini, 3/12Martina Franca, Italy 239 (3.0) $3^5 - 6 + 2$ Kenneth Chapman, 2/12Santa Paula, CA 240 (2.2) $\dfrac{6 + 3 \times 2}{5\%}$ Steve Wilson, 4/12Raytown, MO 241 (2.0) $236 + 5$ Kenneth Chapman, 4/12Santa Paula, CA 242 (2.4) $\dfrac{6}{(3 - .5)\%} + 2$ Paolo Pellegrini, 3/12Martina Franca, Italy 243 (2.2) $\dfrac{6}{2.5\%} + 3$ Ralph Jeffords, 5/12Centreville, VA 244 (2.2) $3 \times \left( \dfrac{5}{6\%} - 2 \right)$ Steve Wilson, 7/12Raytown, MO 245 (2.4) $\dfrac{3}{2 \times .6\%} - 5$ Paolo Pellegrini, 4/12Martina Franca, Italy 246 (2.2) $2 \times \left( \dfrac{6}{5\%} + 3 \right)$ Paolo Pellegrini, 4/12Martina Franca, Italy 247 (2.0) $253 - 6$ Ralph Jeffords, 3/12Centreville, VA 248 (2.2) $5 \times \dfrac{3}{6\%} - 2$ Ralph Jeffords, 5/12Centreville, VA 249 (2.4) $\dfrac{56}{.\overline{2}} - 3$ Paolo Pellegrini, 4/12Martina Franca, Italy 250 (2.2) $\dfrac{3}{(6.2 - 5)\%}$ Steve Wilson, 3/12Raytown, MO 251 (2.4) $5 \times \left( \dfrac{3}{6\%} + .2 \right)$ Paolo Pellegrini, 4/12Martina Franca, Italy 252 (2.0) $36 \times (5 + 2)$ Steve Wilson, 7/12Raytown, MO 253 (2.0) $(6 + 5) \times 23$ Ralph Jeffords, 4/12Centreville, VA 254 (3.2) $\sqrt[.2]{3} + 6 + 5$ Paolo Pellegrini, 5/12Martina Franca, Italy 255 (2.4) $\dfrac{56}{.\overline{2}} + 3$ Paolo Pellegrini, 4/12Martina Franca, Italy 256 (2.2) $3 \times \left( \dfrac{5}{6\%} + 2 \right)$ Steve Wilson, 7/12Raytown, MO 257 (3.2) $\dfrac{.6 - 3\%}{.\overline{2}\%} + .5$ Paolo Pellegrini, 5/12Martina Franca, Italy 258 (2.0) $263 - 5$ Silvana Palau-Valiente, 3/12Gardner, KS 259 (2.0) $253 + 6$ Carolyn Neptune, 4/12Prairie Village, KS 260 (2.2) $5 \times \left( \dfrac{3}{6\%} + 2 \right)$ Steve Wilson, 3/12Raytown, MO 261 (2.4) $\dfrac{63 - 5}{.\overline{2}}$ Ralph Jeffords, 6/12Centreville, VA 262 (2.0) $265 - 3$ Carolyn Neptune, 4/12Prairie Village, KS 263 (3.4) $\sqrt{ \sqrt[.5]{263}}$ Paolo Pellegrini, 5/12Martina Franca, Italy 264 (2.6) $\dfrac{3}{2 \times .\overline{5}\%} - 6$ Ralph Jeffords, 5/12Centreville, VA 265 (2.2) $\dfrac{56 - 3}{.2}$ Carolyn Neptune, 4/12Prairie Village, KS 266 (2.8) $\left( \dfrac{6}{.5\%} - 3 \right) \times .\overline{2}$ Paolo Pellegrini, 5/12Martina Franca, Italy 267 (2.6) $\dfrac{ \dfrac{3}{.\overline{5}\%} - 6}{2}$ Paolo Pellegrini, 6/12Martina Franca, Italy 268 (2.0) $\dfrac{536}{2}$ Sarah Grant, 11/11Olathe, KS 269 (3.0) $3^5 + 26$ Paolo Pellegrini, 6/12Martina Franca, Italy 270 (2.2) $\dfrac{6 - \dfrac35}{2\%}$ Steve Wilson, 3/12Raytown, MO 271 (2.2) $\dfrac{53}{.2} + 6$ Kenneth Chapman, 5/12Santa Paula, CA 272 (2.4) $\dfrac{6 - .5}{2\%} - 3$ Kenneth Chapman, 5/12Santa Paula, CA 273 (2.6) $\dfrac{ \dfrac{3}{.\overline{5}\%} - 6}{2}$ Paolo Pellegrini, 6/12Martina Franca, Italy 274 (2.6) $\dfrac{2 - 63\%}{.5\%}$ Paolo Pellegrini, 6/12Martina Franca, Italy 275 (2.2) $\dfrac{5 + \dfrac36}{2\%}$ Carolyn Neptune, 5/12Prairie Village, KS 276 (2.2) $23 \times \dfrac{6}{.5}$ Robert Devine, 1/12Chicago, IL 277 (2.2) $\dfrac{56}{.2} - 3$ Kenneth Chapman, 5/12Santa Paula, CA 278 (2.4) $\dfrac{6 - .5}{2\%} + 3$ Kenneth Chapman, 5/12Santa Paula, CA 279 (2.4) $\dfrac{65 - 3}{.\overline{2}}$ Ralph Jeffords, 6/12Centreville, VA 280 (2.0) $56 \times (3 + 2)$ Steve Wilson, 3/12Raytown, MO 281 (2.8) $\dfrac{63 - .\overline{5}}{.\overline{2}}$ Paolo Pellegrini, 6/12Martina Franca, Italy 282 (2.8) $\dfrac{ \dfrac{3}{.\overline{2}} + .6}{5\%}$ Steve Wilson, 8/12Raytown, MO 283 (2.2) $\dfrac{56}{.2} + 3$ Kenneth Chapman, 7/12Santa Paula, CA 284 (2.6) $\dfrac{63}{.\overline{2}} + .5$ Ralph Jeffords, 6/12Centreville, VA 285 (2.2) $\dfrac{6}{2\%} - 3 \times 5$ Kenneth Chapman, 6/12Santa Paula, CA 286 (2.2) $\dfrac{5}{2\%} + 36$ Kenneth Chapman, 5/12Santa Paula, CA 287 (3.4) $\dfrac{.\overline{6} - 3\%}{.\overline{2}\%} + .5$ Paolo Pellegrini, 10/12Martina Franca, Italy 288 (2.4) $\dfrac{ \dfrac{3}{2\%} - 6}{.5}$ Steve Wilson, 8/12Raytown, MO 289 (3.2) $(6 + 5 + 3!)^2$ Steve Wilson, 9/12Raytown, MO 290 (2.2) $\dfrac{63 - 5}{.2}$ Steve Wilson, 5/12Raytown, MO 291 (2.8) $\dfrac{2 - \dfrac{.3}{5}}{.\overline{6}\%}$ Steve Wilson, 8/12Raytown, MO 292 (2.2) $\dfrac{6}{2\%} - 3 - 5$ Kenneth Chapman, 6/12Santa Paula, CA 293 (3.2) $\dfrac{2 - (5 - .\overline{3})\%}{.\overline{6}\%}$ Ralph Jeffords, 12/12Centreville, VA 294 (2.0) $6 \times (52 - 3)$ Carolyn Neptune, 5/12Prairie Village, KS 295 (2.0) $5 \times (62 - 3)$ Steve Wilson, 8/12Raytown, MO 296 (2.4) $\dfrac{6 - (5 + 3)\%}{2\%}$ Steve Wilson, 7/12Raytown, MO 297 (2.4) $\dfrac{ \dfrac{3}{.5\%} - 6}{2}$ Steve Wilson, 8/12Raytown, MO 298 (2.2) $\dfrac{6}{2\%} + 3 - 5$ Kenneth Chapman, 6/12Santa Paula, CA 299 (2.4) $\dfrac{6 - 2\%}{(5 - 3)\%}$ Ralph Jeffords, 7/12Centreville, VA 300 (2.2) $\dfrac{6 + 3}{(5 - 2)\%}$ Carolyn Neptune, 4/12Prairie Village, KS 301 (2.4) $\dfrac{6 + 2\%}{(5 - 3)\%}$ Ralph Jeffords, 7/12Centreville, VA 302 (2.2) $\dfrac{6}{2\%} - 3 + 5$ Kenneth Chapman, 7/12Santa Paula, CA 303 (2.4) $\dfrac{\dfrac{3}{.5\%} + 6}{2}$ Ralph Jeffords, 9/12Centreville, VA 304 (2.4) $\dfrac{6 + (5 + 3)\%}{2\%}$ Ralph Jeffords, 7/12Centreville, VA 305 (2.0) $5 \times (63 - 2)$ Carolyn Neptune, 5/12Prairie Village, KS 306 (2.0) $6 \times (53 - 2)$ Carolyn Neptune, 5/12Prairie Village, KS 307 (2.0) $5 \times 62 - 3$ Kenneth Chapman, 7/12Santa Paula, CA 308 (2.2) $\dfrac{6}{2\%} + 5 + 3$ Kenneth Chapman, 8/12Santa Paula, CA 309 (2.0) $52 \times 6 - 3$ Kenneth Chapman, 6/12Santa Paula, CA 310 (2.2) $\dfrac{6.2}{(5 - 3)\%}$ Steve Wilson, 5/12Raytown, MO 311 (3.4) $\dfrac{6}{2\%} + 5 + 3!$ Kenneth Chapman, 8/12Santa Paula, CA 312 (2.4) $\dfrac{ \dfrac{3}{2\%} + 6}{.5}$ Paolo Pellegrini, 8/12Martina Franca, Italy 313 (2.0) $63 \times 5 - 2$ Nathan Moore, 10/11Overland Park, KS 314 (2.2) $(63 - .2) \times 5$ Ralph Jeffords, 7/12Centreville, VA 315 (2.0) $52 \times 6 + 3$ Billie Jean Vazquez, 4/12Lenexa, KS 316 (2.0) $63.2 \times 5$ Robert Devine, 2/12Lawrence, KS 317 (2.0) $63 \times 5 + 2$ Nathan Moore, 10/11Overland Park, KS 318 (2.8) $3 \times \left( \dfrac{.6}{.\overline{5}\%} - 2 \right)$ Paolo Pellegrini, 8/12Martina Franca, Italy 319 (2.0) $325 - 6$ Carolyn Neptune, 8/12Prairie Village, KS 320 (2.0) $53 \times 6 + 2$ Sarah Grant, 12/11Olathe, KS 321 (2.0) $326 - 5$ Paolo Pellegrini, 8/12Martina Franca, Italy 322 (2.2) $\dfrac{65}{.2} - 3$ Hee Do Yoon, 2/12Overland Park, KS 323 (2.8) $\dfrac{.6}{.\overline{2}\%} + 53$ Ralph Jeffords, 10/12Centreville, VA 324 (2.6) $\dfrac{3.6}{2 \times .\overline{5}\%}$ Ralph Jeffords, 7/12Centreville, VA 325 (2.0) $(62 + 3) \times 5$ Billie Jean Vazquez, 2/12Lenexa, KS 326 (2.8) $3 \times \dfrac{.6}{.\overline{5}\%} + 2$ Paolo Pellegrini, 8/12Martina Franca, Italy 327 (2.8) $\dfrac{6 + \dfrac{.3}{.\overline{5}\%}}{2\%}$ Paolo Pellegrini, 8/12Martina Franca, Italy 328 (2.2) $\dfrac{65}{.2} + 3$ Hee Do Yoon, 2/12Overland Park, KS 329 (2.2) $5.\overline{2} \times 63$ Steve Wilson, 10/12Raytown, MO 330 (2.0) $(52 + 3) \times 6$ Billie Jean Vazquez, 2/12Lenexa, KS 331 (2.0) $325 + 6$ Carolyn Neptune, 8/12Prairie Village, KS 332 (2.6) $2 \times \left( \dfrac{5}{3\%} - .\overline{6} \right)$ Steve Wilson, 9/12Raytown, MO 333 (2.8) $\dfrac{5 - 3 - .2\%}{.6\%}$ Steve Wilson, 9/12Raytown, MO 334 (2.6) $\dfrac{2 - .3}{.5\%} - 6$ Steve Wilson, 9/12Raytown, MO 335 (2.2) $\dfrac{6}{2\%} + 35$ Steve Wilson, 9/12Raytown, MO 336 (2.0) $2 \times 3 \times 56$ Sarah Grant, 10/11Olathe, KS 337 (2.4) $\dfrac{2}{.5\%} - 63$ Ralph Jeffords, 9/12Centreville, VA 338 (2.8) $\dfrac{2}{.6\%} + 5 - .\overline{3}$ Steve Wilson, 10/12Raytown, MO 339 (3.4) $\dfrac{(6 + 2)!}{5!} + 3$ Paolo Pellegrini, 10/12Martina Franca, Italy 340 (2.2) $\dfrac{23 - 6}{5\%}$ Steve Wilson, 5/12Raytown, MO 341 (3.4) $62 \times (3! - .5)$ Paolo Pellegrini, 10/12Martina Franca, Italy 342 (2.6) $\dfrac{2}{.\overline{5}\%} - 3 \times 6$ Ralph Jeffords, 10/12Centreville, VA 343 (3.0) $(5 + 2)^{6-3}$ Carolyn Neptune, 8/12Prairie Village, KS 344 (3.2) $3 \times (5! - 6) + 2$ Paolo Pellegrini, 10/12Martina Franca, Italy 345 (2.8) $\dfrac{2.\overline{3}}{.\overline{6}\%} - 5$ Steve Wilson, 10/12Raytown, MO 346 (2.0) $352 - 6$ Ralph Jeffords, 10/12Centreville, VA 347 (3.6) $((3!)! - 26) \times .5$ Paolo Pellegrini, 10/12Martina Franca, Italy 348 (2.2) $6 \times \left( \dfrac{3}{5\%} - 2 \right)$ Steve Wilson, 10/12Raytown, MO 349 (3.4) $\dfrac{6!}{2} - 3! - 5$ Steve Wilson, 11/12Raytown, MO 350 (2.2) $(5 + 2) \times \dfrac{3}{6\%}$ Steve Wilson, 5/12Raytown, MO 351 (2.6) $\dfrac{2}{.\overline{5}\%} - 6 - 3$ Ralph Jeffords, 9/12Centreville, VA 352 (2.0) $32 \times (6 + 5)$ Carolyn Neptune, 8/12Prairie Village, KS 353 (2.2) $\dfrac{6}{2\%} + 53$ Carolyn Neptune, 9/12Prairie Village, KS 354 (2.0) $356 - 2$ Carolyn Neptune, 9/12Prairie Village, KS 355 (2.6) $\dfrac{5 - 3\%}{(2 - .6)\%}$ Steve Wilson, 12/12Raytown, MO 356 (2.4) $\dfrac{3 \times 6 - .2}{5\%}$ Steve Wilson, 12/12Raytown, MO 357 (2.0) $362 - 5$ Ralph Jeffords, 10/12Centreville, VA 358 (2.0) $356 + 2$ Meredith Rosenbaum, 10/11Shawnee, KS 359 (2.8) $\left( \dfrac{6}{.\overline{3}\%} - 5 \right) \times .2$ Steve Wilson, 12/12Raytown, MO 360 (2.0) $36 \times 5 \times 2$ Steve Wilson, 6/12Raytown, MO 361 (2.8) $\left( \dfrac{6}{.\overline{3}\%} + 5 \right) \times .2$ Steve Wilson, 11/12Raytown, MO 362 (2.2) $\dfrac{6 \times 3}{5\%} + 2$ Carolyn Neptune, 9/12Prairie Village, KS 363 (2.0) $365 - 2$ Meredith Rosenbaum, 11/11Shawnee, KS 364 (2.4) $\dfrac{3 \times 6 + .2}{5\%}$ Steve Wilson, 12/12Raytown, MO 365 (2.6) $\dfrac{6}{(2 - .\overline{3})\%} + 5$ Steve Wilson, 12/12Raytown, MO 366 (2.2) $\left( \dfrac{6}{5\%} + 2 \right) \times 3$ Steve Wilson, 11/12Raytown, MO 367 (2.0) $365 + 2$ Meredith Rosenbaum, 11/11Shawnee, KS 368 (3.2) $3 \times 5! + 6 + 2$ Robert Devine, 2/12Lawrence, KS 369 (2.6) $\dfrac{2}{.\overline{5}\%} + 6 + 3$ Kenneth Chapman, 11/12Santa Paula, CA 370 (2.2) $6 \times \left( \dfrac{2}{3\%} - 5 \right)$ Steve Wilson, 6/12Raytown, MO 371 (3.4) $\dfrac{(3!)!}{2} + 6 + 5$ Paolo Pellegrini, 1/13Martina Franca, Italy 372 (2.2) $62 \times \dfrac{3}{.5}$ Sam Carroll, 11/11Shawnee, KS 373 (2.8) $\dfrac{3 - .5}{.\overline{6}\%} - 2$ Steve Wilson, 11/12Raytown, MO 374 (3.4) $\dfrac{5!}{.3} - 26$ Kenneth Chapman, 12/12Santa Paula, CA 375 (2.2) $\dfrac{3}{ \left( 2 - \dfrac65 \right)\%}$ Steve Wilson, 2/13Raytown, MO 376 (3.0) $(.\overline{3} - 2\%) \times \dfrac{6}{.5\%}$ Paolo Pellegrini, 12/12Martina Franca, Italy 377 (2.8) $\dfrac{3 - .5}{.\overline{6}\%} + 2$ Steve Wilson, 11/12Raytown, MO 378 (2.6) $\dfrac{2.5}{.\overline{6}\%} + 3$ Ralph Jeffords, 11/12Centreville, VA 379 (3.2) $2^{3!} \times 6 - 5$ Paolo Pellegrini, 12/12Martina Franca, Italy 380 (2.6) $\dfrac{2}{.5\%} - \dfrac{6}{.3}$ Steve Wilson, 6/12Raytown, MO 381 (2.6) $\dfrac{2}{.5\overline{3}\%} + 6$ Paolo Pellegrini, 12/12Martina Franca, Italy 382 (2.4) $\dfrac{2}{.5\%} - 6 \times 3$ Carolyn Neptune, 9/12Prairie Village, KS 383 (3.2) $263 + 5!$ Paolo Pellegrini, 12/12Martina Franca, Italy 384 (2.2) $32 \times \dfrac{6}{.5}$ Robert Devine, 1/12Chicago, IL 385 (2.6) $\dfrac{2 - 6\%}{.5\%} - 3$ Paolo Pellegrini, 1/13Martina Franca, Italy 386 (3.2) $5! \times 3 + 26$ Kenneth Chapman, 10/12Santa Paula, CA 387 (3.0) $\dfrac{.5 + 36\%}{.\overline{2}\%}$ Paolo Pellegrini, 1/13Martina Franca, Italy 388 (2.6) $\dfrac{2 - 3\%}{.5\%} - 6$ Paolo Pellegrini, 1/13Martina Franca, Italy 389 (3.2) $2^{3!} \times 6 + 5$ Paolo Pellegrini, 1/13Martina Franca, Italy 390 (2.0) $26 \times 3 \times 5$ Sarah Grant, 12/11Olathe, KS 391 (2.4) $\dfrac{2}{.5\%} - 6 - 3$ Carolyn Neptune, 10/12Prairie Village, KS 392 (3.2) $2^{6+3} - 5!$ Ralph Jeffords, 2/13Centreville, VA 393 (4.0) $\dfrac{.6}{.\overline{2}\%} + 5! + 3$ Steve Wilson, 1/13Raytown, MO 394 (2.2) $\dfrac{5 + 3}{2\%} - 6$ Kenneth Chapman, 12/12Santa Paula, CA 395 (2.2) $6 \times \dfrac{2}{3\%} - 5$ Ralph Jeffords, 1/13Centreville, VA 396 (2.4) $\dfrac{ \dfrac{6}{3\%} - 2}{.5}$ Steve Wilson, 2/13Raytown, MO 397 (2.4) $\dfrac{2}{.5\%} - 6 + 3$ Carolyn Neptune, 10/12Prairie Village, KS 398 (2.4) $\dfrac{2}{.5\%} - \dfrac63$ Carolyn Neptune, 9/12Prairie Village, KS 399 (2.4) $2 \times \left( \dfrac{6}{3\%} - .5 \right)$ Ralph Jeffords, 1/13Centreville, VA 400 (2.2) $\dfrac{3 \times 6 + 2}{5\%}$ Steve Wilson, 6/12Raytown, MO

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