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.

  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 (3.6)
– 1
Steve Wilson, 8/08
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 (3.4)

Steve Wilson, 8/08
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 (3.8)
– 1
Steve Wilson, 8/08
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 (2.4)
+ 4
Pellegrini Paolo, 7/08
Martina Franca, Italy		 380 (2.4)

Carolyn Neptune, 6/08
Prairie Village, KS
  381 (2.4)
+ 3
Dave Jones, 7/08
Coventry, England		 382 (3.8)
–
Pellegrini Paolo, 10/09
Martina Franca, Italy		 383 (2.4)
+ 3
Dave Jones, 7/08
Coventry, England		 384 (3.2)
(3 + 1)! × 42
Carolyn Neptune, 6/08
Prairie Village, KS		 385 (2.4)
– 2
Dave Jones, 7/08
Coventry, England		 386 (3.6)
– 43
Pellegrini Paolo, 8/08
Martina Franca, Italy		 387 (2.8)

Dave Jones, 7/08
Coventry, England		 388 (3.0)
– 2
Pellegrini Paolo, 8/08
Martina Franca, Italy		 389 (2.4)
+ 2
Dave Jones, 7/08
Coventry, England		 390 (2.2)

Steve Wilson, 6/08
Raytown, MO
  391 (3.2)
– 32
Pellegrini Paolo, 8/08
Martina Franca, Italy		 392 (2.8)
+ 32
Pellegrini Paolo, 6/08
Martina Franca, Italy		 393 (4.0)
–
Pellegrini Paolo, 10/09
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		 396 (2.2)
– 4
Pellegrini Paolo, 8/08
Martina Franca, Italy		 397 (2.2)
– 3
Steve Wilson, 8/08
Raytown, MO		 398 (3.2)
– 2
Pellegrini Paolo, 9/08
Martina Franca, Italy		 399 (2.2)
+ 2 – 3
Carolyn Neptune, 6/08
Prairie Village, KS		 400 (2.2)
(3 – 2) ×
Carolyn Neptune, 12/07
Prairie Village, KS
 
  401 (2.2)
+ 3 – 2
Carolyn Neptune, 7/08
Prairie Village, KS		 402 (3.2)
+ 2
Pellegrini Paolo, 9/08
Martina Franca, Italy		 403 (2.2)
+ 3
Dave Jones, 8/08
Coventry, England		 404 (2.2)
+ 4
Dave Jones, 8/08
Coventry, England		 405 (2.2)
+ 2 + 3
Carolyn Neptune, 7/08
Prairie Village, KS		 406 (2.2)
+ 2 × 3
Carolyn Neptune, 7/08
Prairie Village, KS		 407 (2.6)
– 43
Dave Jones, 8/08
Coventry, England		 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		 412 (3.4)
+ 2 × 3!
Pellegrini Paolo, 9/08
Martina Franca, Italy		 413 (3.2)

Pellegrini Paolo, 9/08
Martina Franca, Italy		 414 (2.8)

Dave Jones, 8/08
Coventry, England		 415 (2.0)
413 + 2
Dave Jones, 9/07
Coventry, England		 416 (2.6)
– 34
Dave Jones, 8/08
Coventry, England		 417 (2.2)
– 3
Steve Wilson, 7/08
Raytown, MO		 418 (2.0)
421 – 3
Dave Jones, 9/07
Coventry, England		 419 (2.6)
– 31
Pellegrini Paolo, 9/08
Martina Franca, Italy		 420 (2.6)

Dave Jones, 9/08
Coventry, England
  421 (3.2)
+ 3
Pellegrini Paolo, 10/08
Martina Franca, Italy		 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		 425 (2.4)

Dave Jones, 9/08
Coventry, England		 426 (2.0)
142 × 3
Tina Redlinger, 8/07
Olathe, KS		 427 (3.2)
421 + 3!
Pellegrini Paolo, 10/08
Martina Franca, Italy		 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		 434 (3.4)

Pellegrini Paolo, 10/08
Martina Franca, Italy		 435 (2.8)
+ 3
Dave Jones, 9/08
Coventry, England		 436 (3.2)
– 43
Pellegrini Paolo, 10/08
Martina Franca, Italy		 437 (2.6)
– 13
Steve Wilson, 9/08
Raytown, MO		 438 (2.6)
– 3 × 4
Steve Wilson, 9/08
Raytown, MO		 439 (4.8)
432 – log(1%%‰)
Ralph Jeffords, 11/08
Centreville, VA		 440 (2.6)

Dave Jones, 9/08
Coventry, England
  441 (2.8)

Pellegrini Paolo, 10/08
Martina Franca, Italy		 442 (3.8)
–
Ralph Jeffords, 11/08
Centreville, VA		 443 (2.6)
– 3 – 4
Steve Wilson, 9/08
Raytown, MO		 444 (2.6)

Dave Jones, 9/08
Coventry, England		 445 (3.2)

Ralph Jeffords, 11/08
Centreville, VA		 446 (2.6)
– 1 – 3
Steve Wilson, 9/08
Raytown, MO		 447 (2.6)
– 1 × 3
Steve Wilson, 9/08
Raytown, MO		 448 (2.0)
32 × 14
Shawn Graf, 12/06
Overland Park, KS		 449 (3.6)
+ 3 – 4
Ralph Jeffords, 10/08
Centreville, VA		 450 (2.2)

Steve Wilson, 7/08
Raytown, MO
  451 (2.6)
+ 4 – 3
Ralph Jeffords, 10/08
Centreville, VA		 452 (2.6)
– 1 + 3
Dave Jones, 10/08
Coventry, England		 453 (2.6)
× 1 + 3
Dave Jones, 12/08
Coventry, England		 454 (2.6)
+ 1 + 3
Dave Jones, 10/08
Coventry, England		 455 (3.2)
+ 3
Pellegrini Paolo, 11/08
Martina Franca, Italy		 456 (2.6)

Pellegrini Paolo, 11/08
Martina Franca, Italy		 457 (2.4)
– 43
Pellegrini Paolo, 11/08
Martina Franca, Italy		 458 (3.8)
+
Steve Wilson, 11/08
Raytown, MO		 459 (2.8)

Pellegrini Paolo, 11/08
Martina Franca, Italy		 460 (2.4)

Brad Anderson, 3/08
Overland Park, KS
  461 (3.6)
– 4!
Pellegrini Paolo, 1/09
Martina Franca, Italy		 462 (2.6)
+ 3 × 4
Dave Jones, 11/08
Coventry, England		 463 (2.6)
+ 13
Pellegrini Paolo, 11/08
Martina Franca, Italy		 464 (3.4)
+ 23!
Pellegrini Paolo, 1/09
Martina Franca, Italy		 465 (2.8)
– 3
Steve Wilson, 11/08
Raytown, MO		 466 (2.4)
– 34
Dave Jones, 11/08
Coventry, England		 467 (3.6)

Pellegrini Paolo, 10/09
Martina Franca, Italy		 468 (3.8)

Ralph Jeffords, 1/09
Centreville, VA		 469 (2.4)
– 31
Dave Jones, 11/08
Coventry, England		 470 (2.4)

Dave Jones, 11/08
Coventry, England
  471 (2.8)
+ 3
Dave Jones, 11/08
Coventry, England		 472 (2.6)
– 3
Dave Jones, 12/08
Coventry, England		 473 (2.8)
–
Dave Jones, 12/08
Coventry, England		 474 (3.6)
4! × – 3!
Brad Anderson, 5/08
Overland Park, KS		 475 (2.6)

Dave Jones, 12/08
Coventry, England		 476 (3.2)
– 4
Pellegrini Paolo, 1/09
Martina Franca, Italy		 477 (2.6)
– 3
Dave Jones, 12/08
Coventry, England		 478 (2.6)
+ 3
Pellegrini Paolo, 1/09
Martina Franca, Italy		 479 (2.8)
– 1
Dave Jones, 2/09
Coventry, England		 480 (2.4)
(2 – .4) ×
Dave Jones, 1/09
Coventry, England
  481 (2.6)
+ 31
Steve Wilson, 11/08
Raytown, MO		 482 (3.4)
4 × (3! – 1)! + 2
Steve Wilson, 1/09
Raytown, MO		 483 (2.6)

Dave Jones, 1/09
Coventry, England		 484 (2.6)
+ 34
Steve Wilson, 12/08
Raytown, MO		 485 (2.6)
(1 – 3%) ×
Dave Jones, 1/09
Coventry, England		 486 (2.8)
×
Dave Jones, 1/09
Coventry, England		 487 (2.4)
– 13
Dave Jones, 1/09
Coventry, England		 488 (2.4)
– 3 × 4
Steve Wilson, 12/08
Raytown, MO		 489 (2.6)
+ 4
Dave Jones, 2/09
Coventry, England		 490 (2.6)

Dave Jones, 2/09
Coventry, England
  491 (3.4)
–
Pellegrini Paolo, 2/09
Martina Franca, Italy		 492 (2.0)
123 × 4
Shawn Graf, 12/06
Overland Park, KS		 493 (2.4)
– 3 – 4
Steve Wilson, 11/08
Raytown, MO		 494 (2.4)

Dave Jones, 2/09
Coventry, England		 495 (2.6)

Dave Jones, 2/09
Coventry, England		 496 (2.4)
– 4
Steve Wilson, 2/09
Raytown, MO		 497 (2.4)
– 3 × 1
Steve Wilson, 1/09
Raytown, MO		 498 (2.4)
– 3 + 1
Steve Wilson, 1/09
Raytown, MO		 499 (2.4)
– 4 + 3
Steve Wilson, 12/08
Raytown, MO		 500 (2.2)

Steve Wilson, 7/08
Raytown, MO
  501 (2.4)
– 3 + 4
Steve Wilson, 12/08
Raytown, MO		 502 (2.4)
– 1 + 3
Pellegrini Paolo, 2/09
Martina Franca, Italy		 503 (2.4)
× 1 + 3
Pellegrini Paolo, 2/09
Martina Franca, Italy		 504 (2.2)
+ 4
Pellegrini Paolo, 2/09
Martina Franca, Italy		 505 (2.6)

Pellegrini Paolo, 2/09
Martina Franca, Italy		 506 (2.4)

Pellegrini Paolo, 3/09
Martina Franca, Italy		 507 (2.4)
+ 4 + 3
Steve Wilson, 12/08
Raytown, MO		 508 (3.4)
+
Pellegrini Paolo, 3/09
Martina Franca, Italy		 509 (3.4)
+
Pellegrini Paolo, 3/09
Martina Franca, Italy		 510 (2.6)

Ralph Jeffords, 3/09
Centreville, VA
  511 (2.6)
– 4
Steve Wilson, 4/09
Raytown, MO		 512 (2.4)
+ 3 × 4
Dave Jones, 3/09
Coventry, England		 513 (2.4)
+ 13
Steve Wilson, 4/09
Raytown, MO		 514 (3.4)
+ 3 – 1
Pellegrini Paolo, 3/09
Martina Franca, Italy		 515 (2.6)
(1 + 3%) ×
Steve Wilson, 4/09
Raytown, MO		 516 (2.0)
43 × 12
Melissa Kuskowski, 3/07
Olathe, KS		 517 (2.6)

Steve Wilson, 4/09
Raytown, MO		 518 (3.6)
+ 4! – 3!
Pellegrini Paolo, 3/09
Martina Franca, Italy		 519 (2.6)
+ 4
Dave Jones, 3/09
Coventry, England		 520 (2.4)
× (3 – .4)
Dave Jones, 3/09
Coventry, England
  521 (3.4)
– 3 + 4!
Pellegrini Paolo, 4/09
Martina Franca, Italy		 522 (2.2)
– 3
Dave Jones, 4/09
Coventry, England		 523 (2.6)
+ 3
Dave Jones, 4/09
Coventry, England		 524 (2.8)
– 1
Dave Jones, 3/09
Coventry, England		 525 (2.6)

Dave Jones, 5/09
Coventry, England		 526 (2.8)
+ 1
Dave Jones, 3/09
Coventry, England		 527 (2.8)
+
Dave Jones, 4/09
Coventry, England		 528 (2.0)
132 × 4
Dave Jones, 9/07
Coventry, England		 529 (3.2)
1 ×
John Hepfer, 10/07
Shawnee, KS		 530 (2.4)

Dave Jones, 5/09
Coventry, England
  531 (2.4)
+ 31
Dave Jones, 4/09
Coventry, England		 532 (2.8)

Dave Jones, 4/09
Coventry, England		 533 (3.0)

Pellegrini Paolo, 10/09
Martina Franca, Italy		 534 (2.4)
+ 34
Pellegrini Paolo, 4/09
Martina Franca, Italy		 535 (2.6)

Pellegrini Paolo, 4/09
Martina Franca, Italy		 536 (2.8)
2 × – 4
Pellegrini Paolo, 4/09
Martina Franca, Italy		 537 (2.8)

Dave Jones, 5/09
Coventry, England		 538 (2.6)
– 2
Pellegrini Paolo, 5/09
Martina Franca, Italy		 539 (2.8)
4 × – 1
Pellegrini Paolo, 5/09
Martina Franca, Italy		 540 (2.2)

Carolyn Neptune, 4/09
Prairie Village, KS
  541 (2.8)
4 × + 1
Pellegrini Paolo, 5/09
Martina Franca, Italy		 542 (2.6)
+ 2
Pellegrini Paolo, 5/09
Martina Franca, Italy		 543 (2.4)
+ 43
Pellegrini Paolo, 5/09
Martina Franca, Italy		 544 (2.8)

Dave Jones, 5/09
Coventry, England		 545 (3.2)
4!2 – 31
Pellegrini Paolo, 6/09
Martina Franca, Italy		 546 (2.0)
13 × 42
Dave Jones, 10/07
Coventry, England		 547 (4.0)

Pellegrini Paolo, 10/09
Martina Franca, Italy		 548 (2.8)

Dave Jones, 5/09
Coventry, England		 549 (3.6)
4!2 –
Pellegrini Paolo, 6/09
Martina Franca, Italy		 550 (2.2)

Carolyn Neptune, 6/09
Prairie Village, KS
  551 (3.2)
4! × 23 – 1
Carolyn Neptune, 6/09
Prairie Village, KS		 552 (3.2)
4! × 23 × 1
Ross Andring, 12/06
Osawatomie, KS		 553 (3.2)
4! × 23 + 1
Tina Redlinger, 11/07
Olathe, KS		   555 (2.8)

Pellegrini Paolo, 6/09
Martina Franca, Italy		   557 (3.2)
– 3
Pellegrini Paolo, 6/09
Martina Franca, Italy		 558 (2.4)
31 ×
Carolyn Neptune, 6/09
Prairie Village, KS		   560 (2.4)

Pellegrini Paolo, 6/09
Martina Franca, Italy
      563 (3.2)
4!2 – 13
Pellegrini Paolo, 7/09
Martina Franca, Italy		 564 (2.8)

Pellegrini Paolo, 7/09
Martina Franca, Italy		     567 (3.2)
21 × (4! + 3)
Pellegrini Paolo, 7/09
Martina Franca, Italy		   569 (3.4)
4!2 – 3! – 1
Pellegrini Paolo, 7/09
Martina Franca, Italy		 570 (2.4)

Pellegrini Paolo, 7/09
Martina Franca, Italy
  571 (3.4)
4!2 – 3! + 1
Steven Charlton, 8/09
Sunderland, England		 572 (3.2)
4!2 – 3 – 1
Steven Charlton, 8/09
Sunderland, England		 573 (3.2)
4!2 – 3 × 1
Steven Charlton, 8/09
Sunderland, England		 574 (3.2)
4!2 – 3 + 1
Steven Charlton, 8/09
Sunderland, England		 575 (3.2)
4!2 – 13
Steven Charlton, 8/09
Sunderland, England		 576 (3.0)
243–1
Carolyn Neptune, 7/09
Prairie Village, KS		        
  581 (2.6)
– 4
Pellegrini Paolo, 8/09
Martina Franca, Italy		       585 (2.4)
(4 – .1) ×
Pellegrini Paolo, 8/09
Martina Franca, Italy		 586 (2.6)
– 14
Pellegrini Paolo, 8/09
Martina Franca, Italy		 587 (2.8)
– 1
Pellegrini Paolo, 8/09
Martina Franca, Italy		 588 (2.2)

Steve Wilson, 10/09
Raytown, MO		 589 (2.6)
+ 4
Pellegrini Paolo, 8/09
Martina Franca, Italy		 590 (3.2)

Pellegrini Paolo, 9/09
Martina Franca, Italy
    592 (2.2)

Pellegrini Paolo, 9/09
Martina Franca, Italy		 593 (3.4)
+ 34
Pellegrini Paolo, 9/09
Martina Franca, Italy		 594 (3.4)
– 4 – 2
Pellegrini Paolo, 9/09
Martina Franca, Italy		 595 (2.4)

Pellegrini Paolo, 9/09
Martina Franca, Italy		 596 (2.2)
3 × – 4
Steve Wilson, 10/09
Raytown, MO		 597 (2.2)

Carolyn Neptune, 6/09
Prairie Village, KS		   599 (2.2)
3 × – 1
Steve Wilson, 10/09
Raytown, MO		 600 (2.4)
×
Ross Andring, 12/06
Osawatomie, KS
  601 (2.2)
3 × + 1
Steve Wilson, 10/09
Raytown, MO		   603 (2.2)

Carolyn Neptune, 6/09
Prairie Village, KS		 604 (2.2)
3 × + 4
Steve Wilson, 10/09
Raytown, MO		            
        624 (3.0)
(2 + 3)4 – 1
Carolyn Neptune, 7/09
Prairie Village, KS		 625 (3.0)
(2 + 3)4 × 1
Carolyn Neptune, 7/09
Prairie Village, KS		 626 (3.0)
(2 + 3)4 + 1
Carolyn Neptune, 7/09
Prairie Village, KS		   628 (2.0)
314 × 2
Tina Redlinger, 9/07
Olathe, KS		   630 (2.2)

Carolyn Neptune, 4/09
Prairie Village, 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		                
    702 (2.2)
+ 2
Margo Shoopman, 8/09
Kansas City, MO		                
        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		            
            896 (3.2)
– 4
Margo Shoopman, 8/09
Kansas City, MO		        
      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		  
      963 (3.2)
+ 2
John Hepfer, 8/07
Shawnee, KS		   965 (3.0)
312 + 4
John Hepfer, 9/07
Shawnee, KS		          
    972 (3.0)
34 × 12
Kevin Solecki, 8/08
Olathe, KS		                
      1023 (3.2)
– 1
John Hepfer, 8/07
Shawnee, KS		   1025 (3.2)
+ 1
John Hepfer, 8/07
Shawnee, KS		          
          1155 (3.0)
342 – 1
John Hepfer, 9/07
Shawnee, KS		 1156 (3.0)
342 × 1
Melissa Kuskowski, 3/07
Olathe, KS		 1157 (3.0)
342 + 1
Scott Dixon, 12/07
Lenexa, KS		      
            1236 (2.0)
412 × 3
Tina Redlinger, 10/07
Olathe, KS		        
                1248 (2.0)
312 × 4
Tina Redlinger, 9/07
Olathe, KS		    
      1263 (2.0)
421 × 3
Tina Redlinger, 9/07
Olathe, KS		              
        1284 (2.0)
321 × 4
Tiffany Copple, 2/07
Overland Park, KS		            
          1295 (3.0)
(3 × 2)4 – 1
Eric Anderson, 8/09
Overland Park, KS		 1296 (3.0)
(3 × 2 × 1)4
Eric Anderson, 8/09
Overland Park, KS		 1297 (3.0)
(3 × 2)4 + 1
Eric Anderson, 8/09
Overland Park, KS		      
    1302 (2.0)
42 × 31
Melissa Kuskowski, 3/07
Olathe, KS		                
    1312 (2.0)
32 × 41
Tina Redlinger, 10/07
Olathe, KS		                
      1323 (3.2)
3 ×
John Hepfer, 10/07
Shawnee, KS		              
    1372 (3.0)

Aimee Shupe, 7/09
Lenexa, KS		                
        1444 (3.0)
(41 – 3)2
Scott Dixon, 10/07
Lenexa, KS		            
                1678 (3.0)
412 – 3
Aimee Shupe, 7/09
Lenexa, KS		    
        1684 (3.0)
412 + 3
Scott Dixon, 10/07
Lenexa, KS		            
                1848 (3.0)
432 – 1
Eric Millard, 5/07
Olathe, KS		 1849 (3.0)
1 × 432
Tiffany Copple, 2/07
Overland Park, KS		 1850 (3.0)
432 + 1
Melissa Kuskowski, 4/07
Olathe, KS
            1936 (3.0)
(41 + 3)2
John Hepfer, 11/07
Shawnee, KS		        
                2048 (3.0)

Mary Tuggle, 8/09
Kansas City, MO		    
    2742 (3.0)
143 – 2
John Hepfer, 11/07
Shawnee, KS		       2746 (3.0)
143 + 2
Tina Redlinger, 10/07
Olathe, KS		        
          3075 (2.2)

Pierre LeGrange, 10/08
Overland Park, KS		          
                    3300 (2.2)

Melissa Heller, 10/08
Overland Park, KS
          3455 (3.4)
4!2 × 3! – 1
Tami Lawler-Bontrager, 11/07
Overland Park, KS		          
                    3600 (3.4)

Tami Lawler-Bontrager, 11/07
Overland Park, KS
        3844 (3.0)
312 × 4
Scott Dixon, 12/07
Lenexa, KS		            
          4095 (3.0)
43×2 – 1
Scott Dixon, 12/07
Lenexa, KS		 4096 (3.0)
43×2 × 1
Scott Dixon, 12/07
Lenexa, KS		 4097 (3.0)
43×2 + 1
Scott Dixon, 12/07
Lenexa, KS		      
      5043 (3.0)
412 × 3
Scott Dixon, 10/07
Lenexa, KS		              
          5325 (2.2)

Pierre LeGrange, 10/08
Overland Park, KS		          
                5488 (3.0)
143 × 2
Aimee Shupe, 7/09
Lenexa, KS		    
          5775 (2.2)

Melissa Heller, 10/08
Overland Park, KS		          
                    6560 (3.0)
34×2 – 1
Eric Anderson, 9/09
Overland Park, KS
  6561 (3.0)
(3 × 1)4×2
Eric Anderson, 8/09
Overland Park, KS		 6562 (3.0)
34×2 +1
Eric Anderson, 8/09
Overland Park, KS		                
                    6700 (2.2)

Pierre LeGrange, 10/08
Overland Park, KS
    6912 (3.0)

Tiffany Copple, 2/07
Overland Park, KS		                
                    7800 (2.2)

Pierre LeGrange, 10/08
Overland Park, KS
          8025 (2.2)

Melissa Heller, 10/08
Overland Park, KS		          
        8194 (3.2)
+ 2
Rabeh Ghadiri, 10/08
Overland Park, KS		            
              9257 (3.0)
213 – 4
Scott Dixon, 11/07
Lenexa, KS		      
          9265 (3.0)
213 + 4
Scott Dixon, 11/07
Lenexa, KS		          
      13823 (3.0)
243 – 1
Scott Dixon, 11/07
Lenexa, KS		 13824 (3.0)
1 × 243
John Hepfer, 10/07
Shawnee, KS		 13825 (3.0)
243 + 1
Scott Dixon, 11/07
Lenexa, KS		 13826 (3.2)
4!3 + 2 × 1
Margo Shoopman, 8/09
Kansas City, MO		 13827 (3.2)
4!3 + 2 + 1
Margo Shoopman, 8/09
Kansas City, MO		      
                    15700 (2.2)

Melissa Heller, 10/08
Overland Park, KS
                    17050 (2.2)

Pierre LeGrange, 10/08
Overland Park, KS
            17956 (3.0)
1342
Jay Roath, 5/06
Overland Park, KS		        
    18522 (3.2)
× 213
Tiffany Copple, 2/07
Overland Park, KS		                
                  20449 (3.0)
1432
Jay Roath, 5/06
Overland Park, KS		  
                    20650 (2.2)

Melissa Heller, 10/08
Overland Park, KS
      20733 (3.0)
124 – 3
Lisa Fisher, 7/09
Lawrence, KS		       20737 (3.4)
(4! × 3!)2 + 1
Stephen Inglin, 8/09
De Soto, KS		      
  28561 (3.2)

John Hepfer, 10/07
Shawnee, KS		                  
        37044 (3.0)
213 × 4
Scott Dixon, 11/07
Lenexa, KS		            
            40316 (3.2)
(4 × 2)! – 3 – 1
Eric Anderson, 10/09
Overland Park, KS		 40317 (3.2)
(4 × 2 × 1)! – 3
Eric Anderson, 10/09
Overland Park, KS		 40318 (3.2)
(4 × 2)! – 3 + 1
Eric Anderson, 10/09
Overland Park, KS		    
    40322 (3.2)
(4 × 2)! + 3 – 1
Eric Anderson, 10/09
Overland Park, KS		 40323 (3.2)
(4 × 2 × 1)! + 3
Eric Anderson, 11/09
Overland Park, KS		 40324 (3.2)
(4 × 2)! + 3 + 1
Eric Anderson, 10/09
Overland Park, KS		            
                62208 (3.0)
124 × 3
Lisa Fisher, 7/09
Lawrence, KS		    
              64827 (3.0)

John Hepfer, 10/07
Shawnee, KS		      
      68923 (3.0)
413 + 2
Scott Dixon, 10/07
Lenexa, KS		              
              74087 (3.0)
423 – 1
Melissa Kuskowski, 5/07
Olathe, KS		 74088 (3.0)
423 × 1
Melissa Kuskowski, 5/07
Olathe, KS		 74089 (3.0)
423 + 1
Melissa Kuskowski, 3/07
Olathe, KS		  
              79507 (3.0)
431+2
John Hepfer, 11/07
Shawnee, KS		      
            98596 (3.0)
3142
Jay Roath, 5/06
Overland Park, KS		        
  116281 (3.0)
3412
Jay Roath, 5/06
Overland Park, KS		                  
                  170569 (3.0)
4132
Jay Roath, 5/06
Overland Park, KS		  
                    172800 (3.4)
4!2 ×
Tami Lawler-Bontrager, 11/07
Overland Park, KS
  185761 (3.0)
4312
Lisa Fisher, 7/09
Lawrence, KS		                  
                    279840 (3.0)
234 – 1
Eric Millard, 5/07
Olathe, KS
  279841 (3.0)
234 × 1
Scott Dixon, 10/07
Lenexa, KS		 279842 (3.0)
234 + 1
Melissa Kuskowski, 4/07
Olathe, KS		                
                  923519 (3.0)
314 – 2
John Hepfer, 11/07
Shawnee, KS		  
      923523 (3.0)
314 + 2
John Hepfer, 11/07
Shawnee, KS		              
          1048575 (3.0)
324 – 1
Melissa Kuskowski, 5/07
Olathe, KS		 1048576 (3.0)
324 × 1
Melissa Kuskowski, 5/07
Olathe, KS		 1048577 (3.0)
324 + 1
Melissa Kuskowski, 4/07
Olathe, KS		      
        1906624 (3.0)
1243
Megan Cunningham, 9/09
Shawnee, KS		            
        2985984 (3.4)
(4! × 3!)2+1
Rabeh Ghadiri, 12/08
Overland Park, KS		            
            7962626 (3.4)
4!(3!–1) + 2
Tami Lawler-Bontrager, 11/07
Overland Park, KS		        
                8388608 (3.2)

Tiffany Copple, 2/07
Overland Park, KS		    
                69934528 (3.0)
4123
Lisa Fisher, 7/09
Lawrence, KS		    
  74618461 (3.0)
4213
Melissa Kuskowski, 4/07
Olathe, KS		                  
                    167961600 (3.4)

Tami Lawler-Bontrager, 11/07
Overland Park, KS
          191102975 (3.6)
4!3! – 12!
Rabeh Ghadiri, 11/08
Overland Park, KS		          
  228886641 (3.0)
1234
Jay Roath, 4/06
Overland Park, KS		                  
  2058346161 (3.0)
2134
Jay Roath, 4/06
Overland Park, KS		                  
  2847396321 (3.0)
2314
Jay Roath, 4/06
Overland Park, KS		                  
            9475854336 (3.0)
3124
Jay Roath, 4/06
Overland Park, KS		        
      17179869183 (3.0)
234 – 1
Eric Anderson, 9/09
Overland Park, KS		 17179869184 (3.0)
234 × 1
Dane Miller, 12/07
Louisburg, KS		 17179869185 (3.0)
234 + 1
Dane Miller, 12/07
Louisburg, KS		          
                    282429536480 (3.0)
324 – 1
Eric Anderson, 9/09
Overland Park, KS
  282429536481 (3.0)
324 × 1
Dane Miller, 12/07
Louisburg, KS		 282429536482 (3.0)
324 + 1
Eric Anderson, 9/09
Overland Park, KS		                
      70368744177663 (3.0)
423 – 1
Eric Anderson, 9/09
Overland Park, KS		 70368744177664 (3.0)
423 × 1
Dane Miller, 12/07
Louisburg, KS		 70368744177665 (3.0)
423 + 1
Dane Miller, 12/07
Louisburg, KS		          
            little googol (3.2)
2(1+3/(4%)) 
Ralph Jeffords, 5/08
Centreville, VA		        
                    googol (3.6)

Pellegrini Paolo, 8/08
Martina Franca, Italy
                    googolplex (4.0)

Pellegrini Paolo, 1/09
Martina Franca, Italy