Integermania! - First Four Naturals

The first four natural numbers are 1, 2, 3, and 4.  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.

Use the online submissions page to get your Integermania solutions posted here!  Five "new" or "improved" solutions per person per month are accepted.

Note:  If the math symbols are not displaying correctly, you need to upgrade your browser to either IE 6.0 or Netscape 6.0 or better.  This page will print nicely using the "shrink to fit" option in Netscape, with landscape orientation and narrow margins.

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  1 (1.0)
(4 – 3) × (2 – 1)
Steve Wilson, 1/06
Raytown, MO		 2 (1.0)
1 + 2 + 3 – 4
Levi Self, 1/06
San Antonio, TX		 3 (1.0)
1 × 2 – 3 + 4
Levi Self, 1/06
San Antonio, TX		 4 (1.0)
1 + 2 – 3 + 4
Levi Self, 1/06
San Antonio, TX		 5 (1.0)
(1 + 2) × 3 – 4
Levi Self, 1/06
San Antonio, TX		 6 (1.0)
1 – 2 + 3 + 4
Levi Self, 1/06
San Antonio, TX		 7 (1.0)
4 × + 1
Dave Jones, 1/06
Coventry, England 		8 (1.0)
4 + 3 + 2 – 1
Dave Jones, 1/06
Coventry, England  		9 (1.0)
4 × 3 – 2 – 1
Dave Jones, 1/06
Coventry, England		 10 (1.0)
4 + 3 + 2 + 1
Dave Jones, 1/06
Coventry, England
  11 (1.0)
4 × 3 – 2 + 1
Dave Jones, 1/06
Coventry, England		 12 (1.0)
3 × 4 × (2 – 1)
Carolyn Neptune, 1/06
Prairie Village, KS		 13 (1.0)
3 × 4 + 2 – 1
Katie Cummins, 1/06
Leawood, KS		 14 (1.0)
3 × 4 + 2 × 1
Carolyn Neptune, 1/06
Prairie Village, KS		 15 (1.0)
1 + 2 + 3 × 4
Katie Cummins, 1/06
Leawood, KS		 16 (1.0)
2 × (3 + 4 + 1)
Carolyn Neptune, 1/06
Prairie Village, KS		 17 (1.0)
3 × (4 + 1) + 2
Carolyn Neptune, 1/06
Prairie Village, KS		 18 (1.0)
(4 + 2) × 3 × 1
Carolyn Neptune, 1/06
Prairie Village, KS		 19 (1.0)
(4 + 2) × 3 + 1
Dave Jones, 2/06
Coventry, England		 20 (1.0)
(3 × 2 – 1) × 4
Dave Jones, 2/06
Coventry, England
  21 (1.0)
(3 + 2) × 4 + 1
Dave Jones, 2/06
Coventry, England		 22 (1.0)
(4 × 3 – 1) × 2
Dave Jones, 2/06
Coventry, England		 23 (1.0)
4 × 3 × 2 – 1
Dave Jones, 2/06
Coventry, England		 24 (1.0)
4 × 3 × 2 × 1
Carolyn Neptune, 2/06
Prairie Village, KS		 25 (1.0)
(4 + 1) × (2 + 3)
Carolyn Neptune, 2/06
Prairie Village, KS		 26 (1.0)
2 × (4 × 3 + 1)
Carolyn Neptune, 2/06
Prairie Village, KS		 27 (1.0)
3 × (4 × 2 + 1)
Carolyn Neptune, 2/06
Prairie Village, KS		 28 (1.0)
4 × (2 × 3 + 1)
Carolyn Neptune, 2/06
Prairie Village, KS		 29 (2.0)
31 + 2 – 4
Steve Wilson, 2/06
Raytown, MO		 30 (1.0)
(4 + 1) × 3 × 2
Katie Cummins, 2/06
Leawood, KS
 
  31 (2.0)
34 – 2 – 1
Steve Wilson, 2/06
Raytown, MO		 32 (1.0)
(3 + 1) × 4 × 2
Katie Cummins, 2/06
Leawood, KS		 33 (2.0)

Dave Jones, 3/06
Coventry, England		 34 (2.0)
(14 + 3) × 2
Christie Birzer, 2/06
Shawnee, KS		 35 (2.0)
32 + 4 – 1
Dave Jones, 3/06
Coventry, England		 36 (1.0)
(2 + 1) × 4 × 3
Katie Cummins, 2/06
Leawood, KS		 37 (2.0)
13 + 24
Katie Cummins, 1/06
Leawood, KS		 38 (2.0)
42 – 1 – 3
Dave Jones, 3/06
Coventry, England		 39 (2.0)
31 + 2 × 4
Dave Jones, 3/06
Coventry, England		 40 (2.0)
42 + 1 – 3
Carolyn Neptune, 3/06
Prairie Village, KS
  41 (2.0)
41 × (3 – 2)
Carolyn Neptune, 4/06
Prairie Village, KS		 42 (2.0)
43 + 1 – 2
Carolyn Neptune, 3/06
Prairie Village, KS		 43 (2.0)
43 × (2 – 1)
Carolyn Neptune, 4/06
Prairie Village, KS		 44 (2.0)
43 + 2 – 1
Carolyn Neptune, 3/06
Prairie Village, KS		 45 (2.0)
42 + 3 × 1
Carolyn Neptune, 4/06
Prairie Village, KS		 46 (2.0)
12 + 34
Katie Cummins, 1/06
Leawood, KS		 47 (2.0)
41 + 3 × 2
Carolyn Neptune, 4/06
Prairie Village, KS		 48 (2.0)
24 × (3 – 1)
Steve Wilson, 3/06
Raytown, MO		 49 (2.2)
+ 3 – 4
Dave Jones, 7/06
Coventry, England		 50 (2.0)
4 × 13 – 2
Steve Wilson, 3/06
Raytown, MO
  51 (2.0)
4 × 12 + 3
Steve Wilson, 5/06
Raytown, MO		 52 (2.2)
+ 3 – 1
Steve Wilson, 3/06
Raytown, MO		 53 (2.2)
+ 3 × 1
Steve Wilson, 3/06
Raytown, MO		 54 (2.0)
13 × 4 + 2
Dave Jones, 7/06
Coventry, England		 55 (2.0)
43 + 12
Steve Wilson, 5/06
Raytown, MO		 56 (2.2)
3 × – 4
Dave Jones, 4/06
Coventry, England		 57 (2.2)

Dave Jones, 4/06
Coventry, England		 58 (2.0)
31 × 2 – 4
Dave Jones, 4/06
Coventry, England		 59 (2.0)
21 × 3 – 4
Dave Jones, 4/06
Coventry, England		 60 (2.0)
4 × (13 + 2)
Steve Wilson, 5/06
Raytown, MO
  61 (2.2)
× 3 + 1
Steve Wilson, 5/06
Raytown, MO		 62 (2.0)
31 ×
Dave Jones, 4/06
Coventry, England		 63 (2.2)

Dave Jones, 5/06
Coventry, England		 64 (2.0)
21 + 43
Dave Jones, 5/06
Coventry, England		 65 (2.2)
13 ×
Dave Jones, 5/06
Coventry, England		 66 (2.0)
(34 – 1) × 2
Steve Wilson, 4/06
Raytown, MO		 67 (2.0)

Carolyn Neptune, 4/06
Prairie Village, KS		 68 (2.0)
34 × 2 × 1
Dave Jones, 5/06
Coventry, England		 69 (2.0)
34 × 2 + 1
Dave Jones, 5/06
Coventry, England		 70 (2.0)
14 × (3 + 2)
Steve Wilson, 5/06
Raytown, MO
  71 (2.0)
24 × 3 – 1
Dave Jones, 6/06
Coventry, England		 72 (2.0)
24 × 3 × 1
Dave Jones, 6/06
Coventry, England		 73 (2.0)
24 × 3 + 1
Dave Jones, 6/06
Coventry, England		 74 (2.2)
–  2 + 1
Carolyn Neptune, 5/06
Prairie Village, KS		 75 (2.0)
(24 + 1) × 3
Steve Wilson, 4/06
Raytown, MO		 76 (2.0)
(41 – 3) × 2
Dave Jones, 6/06
Coventry, England		 77 (2.2)
+  2 × 1
Carolyn Neptune, 5/06
Prairie Village, KS		 78 (2.0)
13 × (4 + 2)
Dave Jones, 7/06
Coventry, England		 79 (2.0)
41 × 2 – 3
Steve Wilson, 6/06
Raytown, MO		 80 (2.2)
× 1
Steve Wilson, 6/06
Raytown, MO
  81 (2.0)
21 × 4 – 3
Dave Jones, 7/06
Coventry, England		 82 (2.4)

Dave Jones, 11/06
Coventry, England		 83 (2.2)
4 × + 3
Steve Wilson, 6/06
Raytown, MO		 84 (2.0)
14 × 2 × 3
Dave Jones, 7/06
Coventry, England		 85 (2.0)
41 × 2 + 3
Desteni Starin, 4/06
Overland Park, KS		 86 (2.0)
2 × 43 × 1
Steve Wilson, 6/06
Raytown, MO		 87 (2.0)
2 × 43 + 1
Steve Wilson, 6/06
Raytown, MO		 88 (2.0)
2 × (43 + 1)
Carolyn Neptune, 6/06
Prairie Village, KS		 89 (3.4)

Steve Wilson, 7/06
Raytown, MO		 90 (2.2)

Carolyn Neptune, 6/06
Prairie Village, KS
 
  91 (2.0)
23 × 4 – 1
Steve Wilson, 7/06
Raytown, MO		 92 (2.0)
23 × 4 × 1
Steve Wilson, 7/06
Raytown, MO		 93 (2.0)
23 × 4 + 1
Desteni Starin, 4/06
Overland Park, KS		 94 (2.8)
– 41
Dave Jones, 4/07
Coventry, England		 95 (2.4)

Dave Jones, 1/07
Coventry, England		 96 (2.0)
(23 + 1) × 4
Steve Wilson, 7/06
Raytown, MO		 97 (3.2)
24 × 3! + 1
Carolyn Neptune, 7/06
Prairie Village, KS		 98 (2.2)
– 2
Carolyn Neptune, 7/06
Prairie Village, KS		 99 (2.4)

Dave Jones, 11/06
Coventry, England		 100 (2.2)

Carolyn Neptune, 6/06
Prairie Village, KS
  101 (2.8)
+ 41
Dave Jones, 4/07
Coventry, England		 102 (2.0)
(1 + 2) × 34
Dave Jones, 9/06
Coventry, England		 103 (3.4)
+ 1 × 3
Steve Wilson, 10/06
Raytown, MO		 104 (2.0)
13 × 4 × 2
Steve Wilson, 4/06
Raytown, MO		 105 (2.2)

Dave Jones, 11/06
Coventry, England		 106 (2.4)
4 × – 2
Dave Jones, 1/07
Coventry, England		 107 (3.6)
– 13
Steve Wilson, 10/06
Raytown, MO		 108 (2.4)

Dave Jones, 1/07
Coventry, England		 109 (2.2)
– 41
Dave Jones, 10/06
Coventry, England		 110 (2.2)

Steve Wilson, 10/06
Raytown, MO
  111 (2.6)

Dave Jones, 1/07
Coventry, England		 112 (2.2)

Dave Jones, 11/06
Coventry, England		 113 (3.4)
+ 13
Ralph Jeffords, 4/07
Centreville, VA		 114 (2.2)

Dave Jones, 11/06
Coventry, England		 115 (2.0)
23 × (1 + 4)
Dave Jones, 8/06
Coventry, England		 116 (2.0)
4 × (31 – 2)
Dave Jones, 8/06
Coventry, England		 117 (2.0)
3 × (41 – 2)
Dave Jones, 8/06
Coventry, England		 118 (2.2)
4 × – 2
Dave Jones, 10/06
Coventry, England		 119 (2.0)
123 – 4
Dave Jones, 8/06
Coventry, England		 120 (2.2)

Dave Jones, 12/06
Coventry, England
  121 (2.0)
124 – 3
Dave Jones, 8/06
Coventry, England		 122 (2.0)
31 × 4 – 2
Dave Jones, 9/06
Coventry, England		 123 (2.0)
3 × (42 – 1)
Dave Jones, 9/06
Coventry, England		 124 (2.0)
4 × (32 – 1)
Carolyn Neptune, 8/06
Prairie Village, KS		 125 (2.0)
3 × 41 + 2
Dave Jones, 9/06
Coventry, England		 126 (2.0)
1 × 3 × 42
Dave Jones, 9/06
Coventry, England		 127 (2.0)
123 + 4
Carolyn Neptune, 8/06
Prairie Village, KS		 128 (2.0)
32 × 4 × 1
Dave Jones, 10/06
Coventry, England		 129 (2.0)
43 × (2 + 1)
Carolyn Neptune, 9/06
Prairie Village, KS		 130 (2.2)

Dave Jones, 12/06
Coventry, England
  131 (2.4)

Brad Anderson, 1/07
Overland Park, KS		 132 (2.0)
(32 + 1) × 4
Dave Jones, 10/06
Coventry, England		 133 (2.4)
– 1
Dave Jones, 4/07
Coventry, England		 134 (2.2)

Dave Jones, 4/07
Coventry, England		 135 (2.2)

Dave Jones, 4/07
Coventry, England		 136 (2.0)
134 + 2
Steve Wilson, 9/06
Raytown, MO		 137 (2.8)

Steve Wilson, 12/06
Raytown, MO		 138 (2.2)

Dave Jones, 5/07
Coventry, England		 139 (2.0)
142 – 3
Dave Jones, 10/06
Coventry, England		 140 (2.2)

Brad Anderson, 1/07
Overland Park, KS
  141 (2.0)
143 – 2
Brad Anderson, 12/06
Overland Park, KS		 142 (3.2)
(4! × 3 – 1) × 2
Brad Anderson, 10/06
Overland Park, KS		 143 (2.4)

Dave Jones, 12/06
Coventry, England		 144 (2.0)
12 × 3 × 4
Carolyn Neptune, 7/06
Prairie Village, KS		 145 (2.0)
142 + 3
Brad Anderson, 11/06
Overland Park, KS		 146 (2.2)
– 4 × 1
Dave Jones, 12/06
Coventry, England		 147 (2.0)
(3 + 4) × 21
Brad Anderson, 1/07
Overland Park, KS		 148 (2.2)

Ralph Jeffords, 5/07
Centreville, VA		 149 (2.2)
3 × – 1
Brad Anderson, 12/06
Overland Park, KS		 150 (2.2)
3 × × 1
Brad Anderson, 12/06
Overland Park, KS
  151 (2.2)
3 × + 1
Brad Anderson, 1/07
Overland Park, KS		 152 (2.2)

Ralph Jeffords, 5/07
Centreville, VA		 153 (2.2)
+ 4 – 1
Ralph Jeffords, 12/06
Centreville, VA		 154 (2.2)
+ 4 × 1
Ralph Jeffords, 12/06
Centreville, VA		 155 (2.2)
31 ×
Matt Watters, 5/06
Prairie Village, KS		 156 (2.4)
(1 + 4%) ×
Dave Jones, 5/07
Coventry, England		 157 (2.0)

Christina Ha, 3/06
Shawnee, KS		 158 (3.4)

Carolyn Neptune, 12/06
Prairie Village, KS		 159 (2.2)

Steve Wilson, 1/07
Raytown, MO		 160 (2.0)
(1 + 4) × 32
Dave Jones, 2/07
Coventry, England
  161 (3.0)
34 × 2 – 1
Steve Wilson, 1/07
Raytown, MO		 162 (2.2)

Dave Jones, 5/07
Coventry, England		 163 (2.4)

Brad Anderson, 2/07
Overland Park, KS		 164 (2.2)
+ 14
Ralph Jeffords, 1/07
Centreville, VA		 165 (2.2)

Brad Anderson, 2/07
Overland Park, KS		 166 (2.2)
– 34
Steve Wilson, 9/06
Raytown, MO		 167 (2.4)

Dave Jones, 5/07
Coventry, England		 168 (2.0)
42 × (3 + 1)
Carolyn Neptune, 9/06
Prairie Village, KS		 169 (2.2)
– 1
Brad Anderson, 2/07
Overland Park, KS		 170 (2.2)
34 ×
Ross Andring, 12/06
Osawatomie, KS
  171 (2.2)
+ 1
Ralph Jeffords, 1/07
Centreville, VA		 172 (3.6)

Steve Wilson, 2/07
Raytown, MO		 173 (2.6)
– 2
Dave Jones, 5/07
Coventry, England		 174 (2.4)

Brad Anderson, 2/07
Overland Park, KS		 175 (2.2)

Brad Anderson, 5/07
Overland Park, KS		 176 (2.8)
– 1 – 3
Ralph Jeffords, 4/07
Centreville, VA		 177 (2.6)
– 3
Ralph Jeffords, 2/07
Centreville, VA		 178 (2.8)
+ 1 – 3
Ralph Jeffords, 3/07
Centreville, VA		 179 (2.8)
+ 3 – 4
Ralph Jeffords, 3/07
Centreville, VA		 180 (2.2)
× (2 + 4)
Ralph Jeffords, 2/07
Centreville, VA
  181 (2.8)
+ 4 – 3
Ralph Jeffords, 3/07
Centreville, VA		 182 (2.8)
+ 3 – 1
Ralph Jeffords, 3/07
Centreville, VA		 183 (2.6)
+ 3
Ralph Jeffords, 2/07
Centreville, VA		 184 (2.4)
– 1
Brad Anderson, 5/07
Overland Park, KS		 185 (2.4)
× 1
Brad Anderson, 5/07
Overland Park, KS		 186 (2.0)
(2 + 4) × 31
Dave Jones, 2/07
Coventry, England		 187 (2.2)
– 13
Carolyn Neptune, 1/07
Prairie Village, KS		 188 (2.2)
– 3 × 4
Steve Wilson, 9/06
Raytown, MO		 189 (2.4)

Ralph Jeffords, 4/07
Centreville, VA		 190 (2.2)

Carolyn Neptune, 2/07
Prairie Village, KS
  191 (2.2)
+ 41
Carolyn Neptune, 3/07
Prairie Village, KS		 192 (2.4)
– 3
Brad Anderson, 4/07
Overland Park, KS		 193 (2.2)
– 3 – 4
Steve Wilson, 1/07
Raytown, MO		 194 (2.4)
× (1 – 3%)
Dave Jones, 6/07
Coventry, England		 195 (2.6)

Dave Jones, 6/07
Coventry, England		 196 (2.2)
– 3 – 1
Carolyn Neptune, 11/06
Prairie Village, KS		 197 (2.2)
– 3 × 1
Carolyn Neptune, 11/06
Prairie Village, KS		 198 (2.2)
– 3 + 1
Carolyn Neptune, 11/06
Prairie Village, KS		 199 (2.2)
+ 3 – 4
Steve Wilson, 1/07
Raytown, MO		 200 (2.2)
× (4 – 3)
Carolyn Neptune, 1/07
Prairie Village, KS
  201 (2.2)
+ 4 – 3
Steve Wilson, 2/07
Raytown, MO		 202 (2.2)
+ 3 – 1
Carolyn Neptune, 11/06
Prairie Village, KS		 203 (2.2)
+ 3 × 1
Carolyn Neptune, 11/06
Prairie Village, KS		 204 (2.2)
+ 3 + 1
Ross Andring, 12/06
Osawatomie, KS		 205 (2.0)
41 × (2 + 3)
Carolyn Neptune, 9/06
Prairie Village, KS		 206 (2.4)
× (1 + 3%)
Dave Jones, 6/07
Coventry, England		 207 (2.2)
+ 3 + 4
Carolyn Neptune, 3/07
Prairie Village, KS		 208 (2.2)
+ 3
Brad Anderson, 3/07
Overland Park, KS		 209 (2.0)
213 – 4
Dave Jones, 2/07
Coventry, England		 210 (2.2)
14 ×
Brad Anderson, 11/06
Overland Park, KS
  211 (2.0)
214 – 3
Steve Wilson, 2/07
Raytown, MO		 212 (2.2)
+ 3 × 4
Carolyn Neptune, 3/07
Prairie Village, KS		 213 (2.2)
+ 13
Carolyn Neptune, 1/07
Prairie Village, KS		 214 (2.2)
– 1
Carolyn Neptune, 2/07
Prairie Village, KS		 215 (2.2)
× 1
Carolyn Neptune, 2/07
Prairie Village, KS		 216 (2.2)
+ 1
Carolyn Neptune, 2/07
Prairie Village, KS		 217 (2.0)
213 + 4
Dave Jones, 2/07
Coventry, England		 218 (2.4)
– 32
Dave Jones, 6/07
Coventry, England		 219 (2.4)
+ 3
Ralph Jeffords, 5/07
Centreville, VA		 220 (2.2)

Brad Anderson, 6/07
Overland Park, KS
  221 (3.4)
+ 4! – 3
Steve Wilson, 4/07
Raytown, MO		 222 (2.6)
– 3
Dave Jones, 6/07
Coventry, England		 223 (2.8)
+ 43
Dave Jones, 11/07
Coventry, England		 224 (2.6)
+ 2 – 3
Dave Jones, 11/07
Coventry, England		 225 (2.2)
(1 + 2) ×
Carolyn Neptune, 3/07
Prairie Village, KS		 226 (2.2)
– 4
Brad Anderson, 3/07
Overland Park, KS		 227 (2.0)
231 – 4
Dave Jones, 3/07
Coventry, England		 228 (2.6)
+ 3
Dave Jones, 11/07
Coventry, England		 229 (3.2)
231 –
Brad Anderson, 6/07
Overland Park, KS		 230 (2.2)

Brad Anderson, 3/07
Overland Park, KS
  231 (2.2)
+ 31
Steve Wilson, 5/07
Raytown, MO		 232 (3.4)
+
Brad Anderson, 3/07
Overland Park, KS		 233 (2.0)
234 – 1
Brad Anderson, 11/06
Overland Park, KS		 234 (2.0)
234 × 1
Jay Roath, 3/06
Overland Park, KS		 235 (2.0)
234 + 1
Brad Anderson, 11/06
Overland Park, KS		 236 (2.8)
– 4
Dave Jones, 11/07
Coventry, England		 237 (2.2)
– 3
Brad Anderson, 6/07
Overland Park, KS		 238 (2.0)
241 – 3
Dave Jones, 3/07
Coventry, England		 239 (2.8)
× .4 – 1
Dave Jones, 11/07
Coventry, England		 240 (2.2)
4 × 3 ×
Brad Anderson, 4/07
Overland Park, KS
  241 (2.8)
× .4 + 1
Dave Jones, 12/07
Coventry, England		 242 (2.0)
243 – 1
Dave Jones, 3/07
Coventry, England		 243 (2.0)
243 × 1
Dave Jones, 3/07
Coventry, England		 244 (2.0)
243 + 1
Dave Jones, 3/07
Coventry, England		 245 (2.4)
– 2 – 3
Steve Wilson, 9/07
Raytown, MO		 246 (2.0)
41 × 2 × 3
Brad Anderson, 4/07
Overland Park, KS		 247 (2.2)
– 3
Steve Wilson, 8/07
Raytown, MO		 248 (2.0)
31 × 2 × 4
Brad Anderson, 4/07
Overland Park, KS		 249 (2.4)
+ 2 – 3
Steve Wilson, 9/07
Raytown, MO		 250 (2.2)

Brad Anderson, 5/07
Overland Park, KS
  251 (2.4)
+ 3 – 2
Steve Wilson, 8/07
Raytown, MO		 252 (2.0)
21 × 3 × 4
Melissa Kuskowski, 3/07
Olathe, KS		 253 (2.2)
+ 3
Brad Anderson, 5/07
Overland Park, KS		 254 (2.2)
+ 4
Dave Jones, 12/07
Coventry, England		 255 (2.4)
+ 2 + 3
Steve Wilson, 9/07
Raytown, MO		 256 (2.4)
+ 3 × 2
Steve Wilson, 8/07
Raytown, MO		 257 (2.6)
+ 32
Steve Wilson, 9/07
Raytown, MO		 258 (2.2)
– 42
Steve Wilson, 7/07
Raytown, MO		 259 (3.4)
– 41
Steve Wilson, 6/07
Raytown, MO		 260 (2.2)
13 ×
Carolyn Neptune, 5/07
Prairie Village, KS
  261 (3.6)

Steve Wilson, 7/07
Raytown, MO		 262 (2.4)
+ 2
Steve Wilson, 5/07
Raytown, MO		 263 (3.4)
+ 23
Steve Wilson, 7/07
Raytown, MO		 264 (2.8)
– 2 – 4
Dave Jones, 12/07
Coventry, England		 265 (2.2)

Steve Wilson, 5/07
Raytown, MO		 266 (2.4)
× (4 – 1%)
Dave Jones, 12/07
Coventry, England		 267 (2.4)

Dave Jones, 12/07
Coventry, England		 268 (2.0)
134 × 2
Jay Roath, 3/06
Overland Park, KS		 269 (4.2)

Steve Wilson, 11/07
Raytown, MO		 270 (2.2)

Steve Wilson, 5/07
Raytown, MO
 
  271 (3.0)
– 4
Pellegrini Paolo, 5/08
Martina Franca, Italy		 272 (2.8)
– 3
Dave Jones, 2/08
Coventry, England		 273 (2.4)
+ 23
Steve Wilson, 8/07
Raytown, MO		 274 (3.4)
– 4! – 2
Steve Wilson, 2/08
Raytown, MO		 275 (2.2)

Brad Anderson, 7/07
Overland Park, KS		 276 (2.2)
– 24
Carolyn Neptune, 6/07
Prairie Village, KS		 277 (3.6)
– 4! + 1
Steve Wilson, 10/07
Raytown, MO		 278 (2.8)
+ 3
Dave Jones, 2/08
Coventry, England		 279 (3.6)
– 1
Steve Wilson, 10/07
Raytown, MO		 280 (2.2)
× 4
Brad Anderson, 6/07
Overland Park, KS
  281 (3.2)
+ 34
Carolyn Neptune, 7/07
Prairie Village, KS		 282 (2.4)
+ 32
Steve Wilson, 8/07
Raytown, MO		 283 (3.8)
(3!)! × .4 –
Steve Wilson, 10/07
Raytown, MO		 284 (2.4)
+ 4
Brad Anderson, 7/07
Overland Park, KS		 285 (2.6)

Dave Jones, 2/08
Coventry, England		 286 (2.0)
143 × 2
Dave Jones, 7/07
Coventry, England		 287 (3.4)
4! × 3! × 2 – 1
Brad Anderson, 9/07
Overland Park, KS		 288 (2.4)

Dave Jones, 2/08
Coventry, England		 289 (3.0)
(13 + 4)2
Carolyn Neptune, 12/07
Prairie Village, KS		 290 (2.8)
– 4
Dave Jones, 3/08
Coventry, England
  291 (3.2)
4! × 12 + 3
Brad Anderson, 8/07
Overland Park, KS		 292 (2.2)
– 4 × 2
Brad Anderson, 7/07
Overland Park, KS		 293 (3.8)
(3!)! × .4 +
Steve Wilson, 11/07
Raytown, MO		 294 (2.2)
– 4 – 2
Brad Anderson, 7/07
Overland Park, KS		 295 (2.4)
–
Brad Anderson, 7/07
Overland Park, KS		 296 (2.2)
– 4
Brad Anderson, 10/07
Overland Park, KS		 297 (2.2)
– 3
Brad Anderson, 10/07
Overland Park, KS		 298 (2.2)
– 4 + 2
Brad Anderson, 8/07
Overland Park, KS		 299 (3.4)
× – 1
Brad Anderson, 10/07
Overland Park, KS		 300 (2.2)

Carolyn Neptune, 8/07
Prairie Village, KS
  301 (3.4)
× + 1
Brad Anderson, 10/07
Overland Park, KS		 302 (2.2)
+ 4 – 2
Brad Anderson, 8/07
Overland Park, KS		 303 (2.2)
+ 3
Brad Anderson, 9/07
Overland Park, KS		 304 (2.2)
+ 4
Brad Anderson, 10/07
Overland Park, KS		 305 (2.4)
+
Steve Wilson, 7/07
Raytown, MO		 306 (2.2)
+ 4 + 2
Brad Anderson, 8/07
Overland Park, KS		 307 (3.6)

Steve Wilson, 12/07
Raytown, MO		 308 (2.0)
312 – 4
Dave Jones, 7/07
Coventry, England		 309 (3.8)
+
Steve Wilson, 12/07
Raytown, MO		 310 (2.8)
+ 4
Dave Jones, 3/08
Coventry, England
  311 (2.8)
– 4
Dave Jones, 3/08
Coventry, England		 312 (2.0)
13 × 24
Dave Jones, 7/07
Coventry, England		 313 (4.8)
312 +
Steve Wilson, 1/08
Raytown, MO		 314 (2.8)
+ 2
Dave Jones, 3/08
Coventry, England		 315 (2.4)

Dave Jones, 2/08
Coventry, England		 316 (2.0)
314 + 2
Dave Jones, 7/07
Coventry, England		 317 (2.0)
321 – 4
Dave Jones, 7/07
Coventry, England		 318 (2.6)
– 2
Dave Jones, 3/08
Coventry, England		 319 (2.8)
+ 4
Dave Jones, 4/08
Coventry, England		 320 (2.2)

Dave Jones, 10/07
Coventry, England
  321 (3.6)
+ 1
Steve Wilson, 12/07
Raytown, MO		 322 (2.0)
14 × 23
Ross Andring, 12/06
Osawatomie, KS		 323 (2.0)
324 – 1
Dave Jones, 8/07
Coventry, England		 324 (2.0)
324 × 1
Jay Roath, 3/06
Overland Park, KS		 325 (2.0)
321 + 4
Steve Wilson, 7/07
Raytown, MO		 326 (3.4)
+ 4! + 2
Steve Wilson, 1/08
Raytown, MO		 327 (2.2)
+ 2
Dave Jones, 1/08
Coventry, England		 328 (2.8)
– 32
Dave Jones, 4/08
Coventry, England		 329 (4.667)

Steve Wilson, 3/08
Raytown, MO		 330 (2.2)

Steve Wilson, 11/07
Raytown, MO
  331 (3.0)
– 2
Steve Wilson, 1/08
Raytown, MO		 332 (2.8)

Dave Jones, 1/08
Coventry, England		 333 (2.6)

Dave Jones, 1/08
Coventry, England		 334 (2.8)

Dave Jones, 1/08
Coventry, England		 335 (2.6)

Dave Jones, 1/08
Coventry, England		 336 (2.6)
– 4
Dave Jones, 4/08
Coventry, England		 337 (2.6)

Dave Jones, 4/08
Coventry, England		 338 (2.2)
– 2
Brad Anderson, 12/07
Overland Park, KS		 339 (2.0)
341 – 2
Dave Jones, 8/07
Coventry, England		 340 (2.4)

Brad Anderson, 12/07
Overland Park, KS
  341 (2.0)
342 – 1
Dave Jones, 8/07
Coventry, England		 342 (2.0)
342 × 1
Dave Jones, 8/07
Coventry, England		 343 (2.0)
342 + 1
Dave Jones, 8/07
Coventry, England		 344 (2.6)
+ 4
Dave Jones, 4/08
Coventry, England		 345 (2.4)

Pellegrini Paolo, 5/08
Martina Franca, Italy		 346 (2.6)
– 4
Pellegrini Paolo, 5/08
Martina Franca, Italy		 347 (3.6)
– 1
Steve Wilson, 2/08
Raytown, MO		 348 (2.8)

Pellegrini Paolo, 5/08
Martina Franca, Italy		 349 (2.2)
– 1
Brad Anderson, 12/07
Overland Park, KS		 350 (2.2)

Steve Wilson, 11/07
Raytown, MO
  351 (2.2)
+ 1
Brad Anderson, 12/07
Overland Park, KS		 352 (3.0)

Pellegrini Paolo, 4/08
Martina Franca, Italy		 353 (3.4)

Steve Wilson, 6/08
Raytown, MO		 354 (2.6)
+ 4
Dave Jones, 5/08
Coventry, England		 355 (2.2)

Dave Jones, 5/08
Coventry, England		 356 (2.6)
– 4
Pellegrini Paolo, 5/08
Martina Franca, Italy		 357 (2.6)
– 3
Dave Jones, 5/08
Coventry, England		 358 (3.4)
((3!)! – 4) ×
Steve Wilson, 5/08
Raytown, MO		 359 (2.8)
– 3 + 2
Dave Jones, 5/08
Coventry, England		 360 (2.2)

Steve Wilson, 1/08
Raytown, MO
  361 (2.8)
– 2 + 3
Dave Jones, 6/08
Coventry, England		 362 (3.4)
((3!)! + 4) ×
Steve Wilson, 5/08
Raytown, MO		 363 (2.6)
+ 3
Dave Jones, 6/08
Coventry, England		 364 (2.6)
+ 4
Brad Anderson, 1/08
Overland Park, KS		 365 (2.8)
+ 3 + 2
Pellegrini Paolo, 6/08
Martina Franca, Italy		 366 (2.8)
+ 3 × 2
Pellegrini Paolo, 6/08
Martina Franca, Italy		 367 (3.4)
+
Pellegrini Paolo, 6/08
Martina Franca, Italy		 368 (2.2)
– 32
Pellegrini Paolo, 6/08
Martina Franca, Italy		 369 (2.4)

Steve Wilson, 6/08
Raytown, MO		 370 (2.4)

Steve Wilson, 6/08
Raytown, MO
  371 (2.4)
– 4
Dave Jones, 6/08
Coventry, England		 372 (2.0)
124 × 3
Tina Redlinger, 9/07
Olathe, KS		 373 (3.6)
+ 1
Pellegrini Paolo, 7/08
Martina Franca, Italy		 374 (2.4)
– 1
Dave Jones, 6/08
Coventry, England		 375 (2.2)

Brad Anderson, 1/08
Overland Park, KS		 376 (2.4)
+ 1
Pellegrini Paolo, 7/08
Martina Franca, Italy		 377 (2.2)
– 23
Pellegrini Paolo, 7/08
Martina Franca, Italy		 378 (3.4)
(4! – 3!) × 21
Pellegrini Paolo, 7/08
Martina Franca, Italy		 379 (2.2)
+ 4
Pellegrini Paolo, 7/08
Martina Franca, Italy		 380 (2.4)

Carolyn Neptune, 6/08
Prairie Village, KS
        384 (3.2)
(3 + 1)! × 42
Carolyn Neptune, 6/08
Prairie Village, KS		           390 (2.2)

Steve Wilson, 6/08
Raytown, MO
    392 (2.8)
+ 32
Pellegrini Paolo, 6/08
Martina Franca, Italy		   394 (2.2)
– 2 × 3
Carolyn Neptune, 6/08
Prairie Village, KS		 395 (2.2)
– 2 – 3
Carolyn Neptune, 6/08
Prairie Village, KS		       399 (2.2)
+ 2 – 3
Carolyn Neptune, 6/08
Prairie Village, KS		 400 (2.2)
(3 – 2) ×
Carolyn Neptune, 12/07
Prairie Village, KS
                408 (2.0)
34 × 12
Shawn Graf, 12/06
Overland Park, KS		 409 (2.0)
412 – 3
Dave Jones, 9/07
Coventry, England		 410 (2.2)

Steve Wilson, 6/08
Raytown, MO
  411 (2.0)
413 – 2
Dave Jones, 9/07
Coventry, England		       415 (2.0)
413 + 2
Dave Jones, 9/07
Coventry, England		   417 (2.2)
– 3
Steve Wilson, 7/08
Raytown, MO		 418 (2.0)
421 – 3
Dave Jones, 9/07
Coventry, England		    
    422 (2.0)
423 – 1
Brian Dye, 12/06
Piper, KS		 423 (2.0)
423 × 1
Eric Millard, 5/07
Olathe, KS		 424 (2.0)
423 + 1
Eric Millard, 5/07
Olathe, KS		   426 (2.0)
142 × 3
Tina Redlinger, 8/07
Olathe, KS		   428 (2.2)
– 2
Steve Wilson, 7/08
Raytown, MO		 429 (2.0)
431 – 2
Brian Dye, 12/06
Piper, KS		 430 (2.2)

Steve Wilson, 7/08
Raytown, MO
  431 (2.0)
432 – 1
Brian Dye, 12/06
Piper, KS		 432 (2.0)
432 × 1
Jay Roath, 3/06
Overland Park, KS		 433 (2.0)
432 + 1
Brian Dye, 12/06
Piper, KS		         438 (3.2)
– 3
John Hepfer, 9/07
Shawnee, KS		    
        444 (3.2)
+ 3
John Hepfer, 9/07
Shawnee, KS		       448 (2.0)
32 × 14
Shawn Graf, 12/06
Overland Park, KS		   450 (2.2)

Steve Wilson, 7/08
Raytown, MO
                    460 (2.4)

Brad Anderson, 3/08
Overland Park, KS
    462 (3.0)
231 ×
Christina Ha, 3/06
Shawnee, KS		                
        474 (3.6)
4! × – 3!
Brad Anderson, 5/08
Overland Park, KS		     477 (3.4)
4! × – 3
Brad Anderson, 5/08
Overland Park, KS		      
      483 (3.4)
4! × + 3
Brad Anderson, 5/08
Overland Park, KS		     486 (3.6)
4! × + 3!
Brad Anderson, 5/08
Overland Park, KS		        
    492 (2.0)
123 × 4
Shawn Graf, 12/06
Overland Park, KS		               500 (2.2)

Steve Wilson, 7/08
Raytown, MO
    512 (3.0)
(4 × 2 × 1)3
Carolyn Neptune, 12/07
Prairie Village, KS		       516 (2.0)
43 × 12
Melissa Kuskowski, 3/07
Olathe, KS		        
                528 (2.0)
132 × 4
Dave Jones, 9/07
Coventry, England		 529 (3.2)
1 ×
John Hepfer, 10/07
Shawnee, KS		  
            546 (2.0)
13 × 42
Dave Jones, 10/07
Coventry, England		        
    552 (3.2)
4! × 23 × 1
Ross Andring, 12/06
Osawatomie, KS		 553 (3.2)
4! × 23 + 1
Tina Redlinger, 11/07
Olathe, KS		              
                588 (3.0)
142 × 3
Tina Redlinger, 8/07
Olathe, KS		    
                    600 (2.4)
×
Ross Andring, 12/06
Osawatomie, KS
                628 (2.0)
314 × 2
Tina Redlinger, 9/07
Olathe, KS		    
    642 (2.0)
214 × 3
Melissa Kuskowski, 4/07
Olathe, KS		                
            676 (3.0)
132 × 4
Tina Redlinger, 8/07
Olathe, KS		        
    682 (2.0)
341 × 2
Shawn Graf, 12/06
Overland Park, KS		                
        714 (2.0)
21 × 34
Dave Jones, 10/07
Coventry, England		            
      723 (2.0)
241 × 3
Tina Redlinger, 8/07
Olathe, KS		              
        744 (2.0)
24 × 31
Dave Jones, 10/07
Coventry, England		   746 (3.2)
4! × 31 + 2
Tina Redlinger, 11/07
Olathe, KS		        
                768 (3.2)
4! × 32 × 1
Tina Redlinger, 11/07
Olathe, KS		 769 (3.2)
4! × 32 + 1
Tina Redlinger, 11/07
Olathe, KS		  
            826 (2.0)
413 × 2
Shawn Graf, 12/06
Overland Park, KS		        
    852 (2.0)
213 × 4
Tina Redlinger, 9/07
Olathe, KS		                
    862 (2.0)
431 × 2
Jay Roath, 3/06
Overland Park, KS		   864 (3.2)
4! × 12 × 3
Tina Redlinger, 11/07
Olathe, KS		            
      903 (2.0)
21 × 43
Dave Jones, 10/07
Coventry, England		              
        924 (2.0)
231 × 4
Tina Redlinger, 10/07
Olathe, KS		            
      943 (2.0)
41 × 23
Tina Redlinger, 10/07
Olathe, KS		              
              957 (3.0)
312 – 4
John Hepfer, 9/07
Shawnee, KS		   959 (3.2)
– 2
John Hepfer, 8/07
Shawnee, KS