Four fours is a classic problem, dating back at least 90 years.  Create each of the positive integers using four copies of 4, and any standard operations.  All four numbers must be used, but no others.  Your solutions will be assigned an exquisiteness level.

Use the online submissions page to get your Integermania solutions posted here!  This problem is now in semi-retired status, so you may submit an unlimited number of solutions each month.

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	1 (1.0)   Carolyn Neptune, 3/06 Prairie Village, KS	2 (1.0)   Carolyn Neptune, 4/06 Prairie Village, KS	3 (1.0) Dave Jones, 5/06 Coventry, England	4 (1.0) (4 – 4) × 4 + 4 Dave Jones, 5/06 Coventry, England	5 (1.0) Dave Jones, 5/06 Coventry, England	6 (1.0) Dave Jones, 5/06 Coventry, England	7 (1.0) 4 + 4 – Dave Jones, 5/06 Coventry, England	8 (1.0) 4 × 4 – 4 – 4 Christie Birzer, 3/06 Shawnee, KS	9 (1.0) 4 + 4 + Dave Jones, 4/06 Coventry, England	10 (2.0) Christie Birzer, 3/06 Shawnee, KS
	11 (2.2) + Matt Watters, 4/06 Prairie Village, KS	12 (1.0) Levi Self, 6/06 San Antonio, TX	13 (2.4) Steve Wilson, 7/06 Raytown, MO	14 (2.4) – 4 Steve Wilson, 7/06 Raytown, MO	15 (1.0) 4 × 4 – Dave Jones, 4/06 Coventry, England	16 (1.0) 4 × 4 × Dave Jones, 4/06 Coventry, England	17 (1.0) 4 × 4 + Dave Jones, 4/06 Coventry, England	18 (2.2) + 4 + 4 Steve Wilson, 7/06 Raytown, MO	19 (2.4) Dave Jones, 1/07 Coventry, England	20 (1.0) Dave Jones, 4/06 Coventry, England
	21 (2.2) – 4 Dave Jones, 10/06 Coventry, England	22 (2.4) + 4 Steve Wilson, 7/06 Raytown, MO	23 (3.4)  4! – + Steve Wilson, 1/07 Raytown, MO	24 (1.0)  4 × 4 + 4 + 4 Carolyn Neptune, 4/06 Prairie Village, KS	25 (2.4) 4 × 4 + Dave Jones, 1/07 Coventry, England	26 (2.2) + 4 × 4 Dave Jones, 10/06 Coventry, England	27 (2.4) Dave Jones, 1/07 Coventry, England	28 (1.0) 4 × (4 + 4) – 4 Steve Wilson, 5/06 Raytown, MO	29 (2.2) + 4 Dave Jones, 10/06 Coventry, England	30 (2.2) Steve Wilson, 6/06 Raytown, MO
	31 (3.8) 4! + 4 + Steve Wilson, 4/06 Raytown, MO	32 (1.0) 4 × 4 + 4 × 4 Levi Self, 6/06 San Antonio, TX	33 (3.6) 4! + Steve Wilson, 10/06 Raytown, MO	34 (2.2) 44 – Dave Jones, 6/06 Coventry, England	35 (2.4) 44 – Steve Wilson, 8/06 Raytown, MO	36 (1.0) (4 + 4) × 4 + 4 Levi Self, 6/06 San Antonio, TX	37 (2.8) Dave Jones, 4/07 Coventry, England	38 (3.4) 4! + 4 × 4 – Steve Wilson, 2/08 Raytown, MO	39 (2.4) Dave Jones, 1/07 Coventry, England	40 (2.4) 4 × + 4 Steve Wilson, 6/06 Raytown, MO
	41 (2.4) Dave Jones, 1/07 Coventry, England	42 (3.2) 44 – 4 + Steve Wilson, 8/06 Raytown, MO	43 (2.0)  44 – Carolyn Neptune, 5/06 Prairie Village, KS	44 (2.0)  44 × Carolyn Neptune, 5/06 Prairie Village, KS	45 (2.0)  44 + Carolyn Neptune, 5/06 Prairie Village, KS	46 (2.2) Steve Wilson, 1/07 Raytown, MO	47 (3.4) 4! + 4! – Steve Wilson, 10/06 Raytown, MO	48 (1.0) (4 × 4 – 4) × 4 Steve Wilson, 5/06 Raytown, MO	49 (3.4) 4! + 4! + Steve Wilson, 10/06 Raytown, MO	50 (2.2) Steve Wilson, 6/06 Raytown, MO
	51 (3.6) – 4 Ralph Jeffords, 4/07 Centreville, VA	52 (2.0)  44 + 4 + 4 Carolyn Neptune, 5/06 Prairie Village, KS	53 (2.4) 44 + Steve Wilson, 8/06 Raytown, MO	54 (2.2) 44 + Dave Jones, 6/06 Coventry, England	55 (2.4)   Carolyn Neptune, 7/06 Prairie Village, KS	56 (2.2) – 44 Steve Wilson, 8/06 Raytown, MO	57 (3.8) 4! + 4! + Ralph Jeffords, 2/07 Centreville, VA	58 (3.6) (4! + 4) × + Steve Wilson, 11/06 Raytown, MO	59 (3.4) – Ralph Jeffords, 2/07 Centreville, VA	60 (1.0) 4 × 4 × 4 – 4 Steve Wilson, 5/06 Raytown, MO
	61 (3.4) + Steve Wilson, 3/06 Raytown, MO	62 (3.2)  4 × 4 × 4 – Carolyn Neptune, 10/06 Prairie Village, KS	63 (3.0) Steve Wilson, 11/06 Raytown, MO	64 (1.0) (4 + 4) × (4 + 4) Steve Wilson, 5/06 Raytown, MO	65 (3.0) Steve Wilson, 11/06 Raytown, MO	66 (3.2)  4 × 4 × 4 + Carolyn Neptune, 10/06 Prairie Village, KS	67 (3.6) Ralph Jeffords, 3/07 Centreville, VA	68 (1.0) 4 × 4 × 4 + 4 Steve Wilson, 5/06 Raytown, MO	69 (3.6) + 4 Steve Wilson, 12/06 Raytown, MO	70 (3.8) 4! + 4! + 4! – Steve Wilson, 6/06 Raytown, MO
	71 (3.4) Steve Wilson, 3/06 Raytown, MO	72 (2.4) (4 + 4) × Steve Wilson, 9/06 Raytown, MO	73 (3.8) + 4! Steve Wilson, 12/07 Raytown, MO	74 (2.8) – 4 × 4 Steve Wilson, 9/06 Raytown, MO	75 (2.2) Dave Jones, 11/06 Coventry, England	76 (3.6) 4! + 4! + 4! + 4 Steve Wilson, 11/06 Raytown, MO	77 (3.0) – 4 Steve Wilson, 2/07 Raytown, MO	78 (3.4) (4! – 4) × 4 – Steve Wilson, 11/06 Raytown, MO	79 (3.8) – Ralph Jeffords, 12/06 Centreville, VA	80 (1.0) (4 × 4 + 4) × 4 Levi Self, 6/06 San Antonio, TX
	81 (2.6) Dave Jones, 2/07 Coventry, England	82 (2.8) – 4 – 4 Steve Wilson, 9/06 Raytown, MO	83 (3.8) + Ralph Jeffords, 12/06 Centreville, VA	84 (2.2) – 4 × 4 Dave Jones, 10/06 Coventry, England	85 (3.0) + 4 Steve Wilson, 2/07 Raytown, MO	86 (2.4) – 4 Steve Wilson, 9/06 Raytown, MO	87 (3.6) 4 × 4! – Steve Wilson, 2/07 Raytown, MO	88 (2.0) 44 + 44 Dave Jones, 9/06 Coventry, England	89 (2.4) Dave Jones, 11/06 Coventry, England	90 (2.4) – Steve Wilson, 6/06 Raytown, MO
	91 (2.6) – Steve Wilson, 1/06 Raytown, MO	92 (2.2)   – 4 – 4 Carolyn Neptune, 6/06 Prairie Village, KS	93 (3.8)  4 × 4! – Carolyn Neptune, 12/06 Prairie Village, KS	94 (2.4) + 4 Steve Wilson, 9/06 Raytown, MO	95 (2.4) – 4 Dave Jones, 11/06 Coventry, England	96 (2.4) Dave Jones, 2/07 Coventry, England	97 (2.4) – 4 Dave Jones, 2/07 Coventry, England	98 (2.4) Dave Jones, 2/07 Coventry, England	99 (2.2)   – Carolyn Neptune, 4/06 Prairie Village, KS	100 (2.2) + 4 – 4 Steve Wilson, 1/06 Raytown, MO
	101 (2.2) + Anders Skjäl, 2/04 Turku, Finland	102 (2.4) Dave Jones, 2/07 Coventry, England	103 (2.4) + 4 Steve Wilson, 7/03 Raytown, MO	104 (2.4) Dave Jones, 4/07 Coventry, England	105 (2.4) + 4 Dave Jones, 4/07 Coventry, England	106 (2.2) – 4 Dave Jones, 3/06 Coventry, England	107 (3.6) Steve Wilson, 12/07 Raytown, MO	108 (2.2)   + 4 + 4 Carolyn Neptune, 4/06 Prairie Village, KS	109 (2.4) Steve Wilson, 4/03 Raytown, MO	110 (2.4)   + Carolyn Neptune, 6/06 Prairie Village, KS
	111 (2.0) Tim Murphy, 2/03 Olathe, KS	112 (3.2) 4! × 4 + 4 × 4 Adam Petrowsky, 5/03 Lenexa, KS	113 (4.6) Steve Wilson, 6/03 Raytown, MO	114 (2.2) + 4 John Kite, 4/03 Lenexa, KS	115 (3.4) Steve Wilson, 4/04 Raytown, MO	116 (2.2)   + 4 × 4 Carolyn Neptune, 4/06 Prairie Village, KS	117 (4.0) (4! + ) × Ralph Jeffords, 7/07 Centreville, VA	118 (3.4) Steve Wilson, 8/03 Raytown, MO	119 (3.6) Steve Wilson, 9/03 Raytown, MO	120 (2.2) Dave Jones, 11/06 Coventry, England
	121 (3.6) Anders Skjäl, 4/04 Turku, Finland	122 (3.4) Steve Wilson, 11/03 Raytown, MO	123 (3.6) + 4! Anders Skjäl, 5/04 Turku, Finland	124 (3.2) – 4 Steve Wilson, 1/05 Raytown, MO	125 (2.2) Dave Jones, 11/06 Coventry, England	126 (3.4) – Carolyn Neptune, 12/03 Prairie Village, KS	127 (3.4) Anders Skjäl, 2/04 Turku, Finland	128 (1.0) 4 × 4 × (4 + 4) Fredrik Jansson, 12/03 Turku, Finland	129 (3.4) Steve Wilson, 2/04 Raytown, MO	130 (3.4) + Ron Palcic, 9/03 Olathe, KS
	131 (3.8) – 4 Ralph Jeffords, 2/07 Centreville, VA	132 (3.2) + 4 Carolyn Neptune, 2/04 Prairie Village, KS	133 (4.0) – Steve Wilson, 3/06 Raytown, MO	134 (2.8) + 44 Steve Wilson, 1/07 Raytown, MO	135 (2.8) Dave Jones, 4/07 Coventry, England	136 (3.4) (4! + 4) × 4 + 4! Ron Palcic, 6/03 Olathe, KS	137 (4.0) Steve Wilson, 3/06 Raytown, MO	138 (3.6) Steve Wilson, 1/07 Raytown, MO	139 (3.8) + 4 Ralph Jeffords, 3/07 Centreville, VA	140 (2.4) Dave Jones, 4/07 Coventry, England
	141 (4.0) Steve Wilson, 7/04 Raytown, MO	142 (3.6) 4! × (4 + ) – Steve Wilson, 8/04 Raytown, MO	143 (3.4) Steve Wilson, 9/04 Raytown, MO	144 (2.2) + 44 Dave Jones, 10/06 Coventry, England	145 (3.4) Steve Wilson, 10/04 Raytown, MO	146 (3.6) 4! × (4 + ) + Steve Wilson, 2/07 Raytown, MO	147 (4.0) Carolyn Neptune, 11/04 Prairie Village, KS	148 (3.4) 4! × (4 + ) + 4 Steve Wilson, 2/07 Raytown, MO	149 (3.6) Steve Wilson, 11/04 Raytown, MO	150 (2.4) Dave Jones, 5/07 Coventry, England
	151 (3.6) Steve Wilson, 12/04 Raytown, MO	152 (3.2) 44 × 4 – 4! Carolyn Neptune, 11/06 Prairie Village, KS	153 (3.6) Ralph Jeffords, 5/07 Centreville, VA	154 (3.4) Steve Wilson, 2/05 Raytown, MO	155 (3.8) Steve Wilson, 3/05 Raytown, MO	156 (3.2) 44 – Carolyn Neptune, 3/07 Prairie Village, KS	157 (5.8) Steve Wilson, 4/05 Raytown, MO	158 (4.8) cot(arctan(4‰)) – 4! × 4 + 4 Steve Wilson, 4/08 Raytown, MO	159 (4.0) + 4! Ralph Jeffords, 3/07 Centreville, VA	160 (2.0) (44 – 4) × 4 Dave Jones, 12/06 Coventry, England
	161 (4.2) Steve Wilson, 7/05 Raytown, MO	162 (3.8) Steve Wilson, 8/05 Raytown, MO	163 (5.6)  – – Steve Wilson, 3/07 Raytown, MO	164 (3.6) + 44 Steve Wilson, 3/07 Raytown, MO	165 (3.8) Steve Wilson, 11/05 Raytown, MO	166 (3.8) 44 – Steve Wilson, 3/07 Raytown, MO	167 (3.6) Steve Wilson, 6/08 Raytown, MO	168 (3.2) 4 × (44 – ) Carolyn Neptune, 3/07 Prairie Village, KS	169 (3.6) Steve Wilson, 4/06 Raytown, MO	170 (3.4) Ralph Jeffords, 3/07 Centreville, VA
	171 (3.2) Pellegrini Paolo, 5/08 Martina Franca, Italy	172 (2.0) 44 × 4 – 4 Kimberly Grosdidier, 12/05 Overland Park, KS	173 (4.8) 44 × 4 – Steve Wilson, 4/07 Raytown, MO	174 (3.2) 4 × 44 – Carolyn Neptune, 1/06 Prairie Village, KS	175 (3.8) Ralph Jeffords, 4/07 Centreville, VA	176 (3.2) 44 × Steve Wilson, 4/08 Raytown, MO	177 (4.4) Steve Wilson, 4/07 Raytown, MO	178 (3.2) 4 × 44 + Carolyn Neptune, 1/06 Prairie Village, KS	179 (3.4) Steve Wilson, 4/07 Raytown, MO	180 (2.0) 4 × 44 + 4 Nancy Vaughn, 3/03 Shawnee, KS
	181 (3.4) Steve Wilson, 4/07 Raytown, MO	182 (3.6) + Steve Wilson, 4/07 Raytown, MO	183 (4.4) Steve Wilson, 5/07 Raytown, MO	184 (3.2)  4 × (44 + ) Carolyn Neptune, 12/06 Prairie Village, KS	185 (3.8) Pellegrini Paolo, 5/08 Martina Franca, Italy	186 (3.6) Steve Wilson, 12/07 Raytown, MO	187 (4.0) Steve Wilson, 1/08 Raytown, MO	188 (3.2) 4! × (4 + 4) – 4 Anders Skjäl, 12/03 Turku, Finland	189 (3.0) Pellegrini Paolo, 5/08 Martina Franca, Italy	190 (2.4) Dave Jones, 5/07 Coventry, England
	191 (3.8) – Steve Wilson, 5/07 Raytown, MO	192 (2.0)  4 × (44 + 4) Carolyn Neptune, 3/06 Prairie Village, KS	193 (5.0) 4! × (4 + 4) + Steve Wilson, 9/07 Raytown, MO	194 (3.4) (4 + 4) × 4! + Steve Wilson, 5/07 Raytown, MO	195 (3.8) – Steve Wilson, 5/07 Raytown, MO	196 (2.2) – 4 Dave Jones, 3/06 Coventry, England	197 (3.8) Steve Wilson, 12/07 Raytown, MO	198 (3.4)   – Carolyn Neptune, 11/06 Prairie Village, KS	199 (2.4) Dave Jones, 5/07 Coventry, England	200 (2.4) + Ralph Jeffords, 4/07 Centreville, VA
	201 (2.4) Dave Jones, 5/07 Coventry, England	202 (3.4)   + Carolyn Neptune, 11/06 Prairie Village, KS	203 (3.8) Steve Wilson, 12/07 Raytown, MO	204 (2.2) + 4 Dave Jones, 3/06 Coventry, England	205 (3.8) + Steve Wilson, 7/07 Raytown, MO	206 (3.6) Steve Wilson, 7/07 Raytown, MO	207 (3.6) Pellegrini Paolo, 5/08 Martina Franca, Italy	208 (3.4) 44 – 4! – 4! Steve Wilson, 6/05 Raytown, MO	209 (3.8) + Steve Wilson, 7/07 Raytown, MO	210 (2.2) Dave Jones, 12/06 Coventry, England
	211 (4.0) Steve Wilson, 1/08 Raytown, MO	212 (3.0) 44 – 44 Ralph Jeffords, 5/07 Centreville, VA	213 (4.0) Steve Wilson, 4/08 Raytown, MO	214 (3.8) × 4! – Steve Wilson, 8/07 Raytown, MO	215 (2.8) Dave Jones, 5/07 Coventry, England	216 (2.6) Dave Jones, 6/07 Coventry, England	217 (4.0) Steve Wilson, 10/07 Raytown, MO	218 (3.8) × 4! + Steve Wilson, 9/05 Raytown, MO	219 (3.8) – 4! Steve Wilson, 8/07 Raytown, MO	220 (3.4) × Ralph Jeffords, 4/07 Centreville, VA
	221 (2.6) – 4 Ralph Jeffords, 1/07 Centreville, VA	222 (3.2) Carolyn Neptune, 1/06 Prairie Village, KS	223 (3.8) – Ralph Jeffords, 1/07 Centreville, VA	224 (2.6) Dave Jones, 6/07 Coventry, England	225 (2.6) Ralph Jeffords, 1/07 Centreville, VA	226 (2.6) Dave Jones, 6/07 Coventry, England	227 (3.8) + Steve Wilson, 8/07 Raytown, MO	228 (3.2) 44 – 4! – 4 Steve Wilson, 7/05 Raytown, MO	229 (2.6) + 4 Ralph Jeffords, 1/07 Centreville, VA	230 (3.4) 44 – 4! – Ralph Jeffords, 5/07 Centreville, VA
	231 (3.8) Steve Wilson, 1/08 Raytown, MO	232 (3.4) – 4! Steve Wilson, 2/08 Raytown, MO	233 (5.0) + 4 + 4 Steve Wilson, 6/08 Raytown, MO	234 (2.6) Dave Jones, 6/07 Coventry, England	235 (2.8) Dave Jones, 6/07 Coventry, England	236 (3.2) 44 – 4! + 4 Ralph Jeffords, 7/07 Centreville, VA	237 (5.0) + 4 + 4 + 4 Steve Wilson, 2/08 Raytown, MO	238 (3.6) × 4! – Steve Wilson, 9/05 Raytown, MO	239 (3.6) – 4 Steve Wilson, 8/07 Raytown, MO	240 (2.4) Dave Jones, 7/07 Coventry, England
	241 (3.6) Steve Wilson, 2/08 Raytown, MO	242 (3.6) 4! × + Steve Wilson, 2/08 Raytown, MO	243 (3.6) Ralph Jeffords, 12/07 Centreville, VA	244 (3.4) 44 – Ralph Jeffords, 7/07 Centreville, VA	245 (3.6) Steve Wilson, 5/08 Raytown, MO	246 (2.4) – 4 Dave Jones, 7/07 Coventry, England	247 (3.4) 44 – Ralph Jeffords, 7/07 Centreville, VA	248 (3.0) 44 – 4 – 4 Kelsey Thomas, 2/05 Olathe, KS	249 (2.4) Dave Jones, 8/07 Coventry, England	250 (2.8) Dave Jones, 1/08 Coventry, England
	251 (2.4) Dave Jones, 8/07 Coventry, England	252 (3.2) 44 – Ralph Jeffords, 9/07 Centreville, VA	253 (3.6) 44 – Ralph Jeffords, 7/07 Centreville, VA	254 (2.4) + 4 Dave Jones, 8/07 Coventry, England	255 (3.0) 44 – Jared Northrup, 4/03 Lawrence, KS	256 (1.0) 4 × 4 × 4 × 4 Joseph Mavungu, 3/03 Olathe, KS	257 (3.0) 44 + Cate Henderson, 4/05 Merriam, KS	258 (3.2) 44 + 4 – Steve Wilson, 10/05 Raytown, MO	259 (3.6) 44 + Steve Wilson, 11/07 Raytown, MO	260 (2.4) Dave Jones, 8/07 Coventry, England
	261 (3.4) 44 + Carolyn Neptune, 5/07 Prairie Village, KS	262 (3.2) 44 + 4 + Steve Wilson, 11/07 Raytown, MO	263 (4.8) 44 + 4 + Steve Wilson, 1/08 Raytown, MO	264 (3.0) 44 + 4 + 4 Sydney Barker, 5/03 Stilwell, KS	265 (3.4) 44 + Steve Wilson, 11/07 Raytown, MO	266 (3.2) 44 + Carolyn Neptune, 3/07 Prairie Village, KS	267 (3.8) + 4! Steve Wilson, 8/07 Raytown, MO	268 (3.4) 44 +  Steve Wilson, 11/05 Raytown, MO	269 (5.0) + 44 Steve Wilson, 6/08 Raytown, MO	270 (3.8) Steve Wilson, 5/08 Raytown, MO
	271 (5.2) + 44 + Steve Wilson, 6/08 Raytown, MO	272 (3.0) 44 + 4 × 4 Cate Henderson, 5/05 Merriam, KS	273 (4.8) cot(arctan(4‰)) + 4! – Steve Wilson, 6/08 Raytown, MO	274 (3.6) + 4! Ralph Jeffords, 12/07 Centreville, VA	275 (2.2) Dave Jones, 3/06 Coventry, England	276 (3.2) 44 + 4! – 4 Steve Wilson, 11/07 Raytown, MO	277 (5.4) – Tanya Khovanova, 7/07 Belmont, MA	278 (3.4) 44 + 4! – Steve Wilson, 11/05 Raytown, MO	279 (3.8) Pellegrini Paolo, 5/08 Martina Franca, Italy	280 (3.4) + 4! Steve Wilson, 2/08 Raytown, MO
	281 (5.4) + – 4 Steve Wilson, 7/08 Raytown, MO	282 (3.4) 44 + 4! + Steve Wilson, 5/08 Raytown, MO	283 (5.2) cot(arctan(4‰)) + 4! + Steve Wilson, 6/08 Raytown, MO	284 (3.2) 44 + 4! + 4 Steve Wilson, 11/07 Raytown, MO	285 (4.2) Pellegrini Paolo, 6/08 Martina Franca, Italy	286 (3.8) 44 + Ralph Jeffords, 9/07 Centreville, VA	287 (3.8) Steve Wilson, 5/08 Raytown, MO	288 (3.2) 44 + Ralph Jeffords, 12/07 Centreville, VA	289 (3.8) Steve Wilson, 5/08 Raytown, MO	290 (3.8) 4! × + Steve Wilson, 4/08 Raytown, MO
	291 (4.4) – Ralph Jeffords, 10/07 Centreville, VA	292 (3.6) 4! × + 4 Steve Wilson, 4/08 Raytown, MO	293 (5.2) + 44 + 4! Steve Wilson, 6/08 Raytown, MO	294 (4.2) – Ralph Jeffords, 10/07 Centreville, VA	295 (3.6) Pellegrini Paolo, 5/08 Martina Franca, Italy	296 (3.6) + 4 × 4! Ralph Jeffords, 11/07 Centreville, VA	297 (4.6) – Ralph Jeffords, 11/07 Centreville, VA	298 (3.6) Steve Wilson, 5/08 Raytown, MO	299 (3.8) Steve Wilson, 5/08 Raytown, MO	300 (2.2) Dave Jones, 3/06 Coventry, England
	301 (3.8) Steve Wilson, 5/08 Raytown, MO	302 (3.6) Steve Wilson, 5/08 Raytown, MO	303 (4.6) + Ralph Jeffords, 1/08 Centreville, VA	304 (3.4) + 4 Pellegrini Paolo, 5/08 Martina Franca, Italy	305 (3.6) Pellegrini Paolo, 5/08 Martina Franca, Italy	306 (3.4) 44 + Pellegrini Paolo, 5/08 Martina Franca, Italy	307 (5.4) cot(arctan(4‰)) + cot(arctan(4%)) + Steve Wilson, 7/08 Raytown, MO	308 (4.0) + 4 + 4 Ralph Jeffords, 2/08 Centreville, VA	309 (4.4) + Steve Wilson, 5/08 Raytown, MO	310 (3.6) Ralph Jeffords, 2/08 Centreville, VA
		312 (3.6) Pellegrini Paolo, 5/08 Martina Franca, Italy	313 (5.2) + 44 × Steve Wilson, 7/08 Raytown, MO	314 (4.6) cot(arctan(4‰)) + 4 × 4 × 4 Steve Wilson, 6/08 Raytown, MO	315 (2.8) Dave Jones, 11/07 Coventry, England	316 (3.4) 44 + Pellegrini Paolo, 5/08 Martina Franca, Italy	317 (5.2) + 4 × 4! – 4 Steve Wilson, 7/08 Raytown, MO		319 (5.4) + 4 × 4! – Steve Wilson, 7/08 Raytown, MO	320 (3.2) (4! – 4) × 4 × 4 Pellegrini Paolo, 6/08 Martina Franca, Italy
	321 (5.2) + – 4 Steve Wilson, 7/08 Raytown, MO	322 (4.4) +  4! – Steve Wilson, 7/08 Raytown, MO	323 (5.4) + – Steve Wilson, 7/08 Raytown, MO	324 (3.0) × (.4 – 4%) Pellegrini Paolo, 6/08 Martina Franca, Italy	325 (2.6) Dave Jones, 11/07 Coventry, England	326 (4.4) +  4! + Steve Wilson, 7/08 Raytown, MO	327 (5.4) + + Steve Wilson, 7/08 Raytown, MO	328 (3.8) Pellegrini Paolo, 6/08 Martina Franca, Italy	329 (5.2) + + 4 Steve Wilson, 7/08 Raytown, MO	330 (4.8) +  Steve Wilson, 7/08 Raytown, MO
		332 (4.2) – 4! – 4 Pellegrini Paolo, 6/08 Martina Franca, Italy		334 (4.6) –  4! – Steve Wilson, 7/08 Raytown, MO	335 (5.2) + Steve Wilson, 7/08 Raytown, MO	336 (3.4) Pellegrini Paolo, 5/08 Martina Franca, Italy		338 (3.8) Steve Wilson, 5/08 Raytown, MO		340 (4.0) Pellegrini Paolo, 6/08 Martina Franca, Italy
				344 (2.8) Dave Jones, 11/07 Coventry, England	345 (4.0) Pellegrini Paolo, 6/08 Martina Franca, Italy	346 (3.8) 44 + Pellegrini Paolo, 6/08 Martina Franca, Italy		348 (3.8) Pellegrini Paolo, 6/08 Martina Franca, Italy	349 (5.4) + + 4! Steve Wilson, 7/08 Raytown, MO	350 (2.4) Dave Jones, 8/07 Coventry, England
	351 (4.2) Pellegrini Paolo, 6/08 Martina Franca, Italy	352 (2.0)  44 × (4 + 4) Brad Anderson, 9/06 Overland Park, KS		354 (4.0) – 4! × 4 Pellegrini Paolo, 6/08 Martina Franca, Italy	355 (4.4) –  Steve Wilson, 7/08 Raytown, MO	356 (2.8) × 4 – 4 Dave Jones, 11/07 Coventry, England	357 (4.6) –  Steve Wilson, 7/08 Raytown, MO	358 (4.0) × 4 –  Steve Wilson, 7/08 Raytown, MO	359 (3.4) Pellegrini Paolo, 6/08 Martina Franca, Italy	360 (2.4) Dave Jones, 12/06 Coventry, England
	361 (3.4) Pellegrini Paolo, 6/08 Martina Franca, Italy	362 (4.0) × 4 +  Steve Wilson, 7/08 Raytown, MO	363 (4.6) +  Steve Wilson, 7/08 Raytown, MO	364 (2.8) × 4 + 4 Dave Jones, 11/07 Coventry, England	365 (4.4) +  Steve Wilson, 7/08 Raytown, MO	366 (4.2) +  4 + Steve Wilson, 7/08 Raytown, MO		368 (3.2) (4 × 4! – 4) × 4 Pellegrini Paolo, 6/08 Martina Franca, Italy	369 (3.0) Pellegrini Paolo, 6/08 Martina Franca, Italy	370 (4.0) Pellegrini Paolo, 6/08 Martina Franca, Italy
	371 (4.0) – 4 Pellegrini Paolo, 6/08 Martina Franca, Italy		373 (4.0) – Pellegrini Paolo, 6/08 Martina Franca, Italy		375 (3.4) Pellegrini Paolo, 6/08 Martina Franca, Italy	376 (2.8) Dave Jones, 1/08 Coventry, England		378 (3.6) Pellegrini Paolo, 6/08 Martina Franca, Italy	379 (4.0) + 4 Pellegrini Paolo, 6/08 Martina Franca, Italy	380 (3.2) 4 × 4! × 4 – 4 Steve Wilson, 6/08 Raytown, MO
	381 (3.8) Pellegrini Paolo, 6/08 Martina Franca, Italy	382 (3.4) 4 × 4! × 4 – Steve Wilson, 6/08 Raytown, MO		384 (2.2) Dave Jones, 12/06 Coventry, England		386 (3.4) 4 × 4! × 4 + Steve Wilson, 6/08 Raytown, MO	387 (3.8) Pellegrini Paolo, 6/08 Martina Franca, Italy	388 (3.2) 4 × 4! × 4 + 4 Joseph Mavungu, 4/03 Olathe, KS		390 (2.4) Dave Jones, 9/07 Coventry, England
	391 (3.2) Pellegrini Paolo, 6/08 Martina Franca, Italy	392 (3.4) Steve Wilson, 6/08 Raytown, MO		394 (3.6) Steve Wilson, 6/08 Raytown, MO	395 (3.6) Pellegrini Paolo, 6/08 Martina Franca, Italy	396 (2.2) × 4 – 4 David Caton, 10/04 Shawnee, KS		398 (3.4) × 4 – Steve Wilson, 2/08 Raytown, MO	399 (2.4) Dave Jones, 9/07 Coventry, England	400 (3.0) (4 – .4) × Pellegrini Paolo, 6/08 Martina Franca, Italy
	401 (2.4) Dave Jones, 9/07 Coventry, England	402 (3.4) × 4 + Steve Wilson, 2/08 Raytown, MO		404 (2.0) 4 × + 4 Dave Jones, 12/06 Coventry, England	405 (3.2) Pellegrini Paolo, 6/08 Martina Franca, Italy	406 (3.6) Steve Wilson, 6/08 Raytown, MO		408 (3.4) 4 × 4! × 4 + 4! Steve Wilson, 6/08 Raytown, MO	409 (3.2) Pellegrini Paolo, 6/08 Martina Franca, Italy	410 (2.4) Dave Jones, 9/07 Coventry, England
				414 (4.0) Pellegrini Paolo, 6/08 Martina Franca, Italy		416 (2.2) Dave Jones, 3/07 Coventry, England				420 (3.2) 444 – 4! Steve Wilson, 2/08 Raytown, MO
				424 (3.4) × 4 + 4! Steve Wilson, 2/08 Raytown, MO
		432 (3.6) 4! × (4! – – 4) Steve Wilson, 6/08 Raytown, MO		434 (3.8) – 4 × 4 Steve Wilson, 6/08 Raytown, MO						440 (2.0) 444 – 4 Kimberly Grosdidier, 12/05 Overland Park, KS
		442 (3.2) 444 – Eric Millard, 5/07 Olathe, KS		444 (3.4) Steve Wilson, 6/08 Raytown, MO		446 (3.2) 444 + Steven Charlton, 2/05 Sunderland, England		448 (2.0) 444 + 4 Steven Charlton, 1/05 Sunderland, England	449 (3.8) – Steve Wilson, 6/08 Raytown, MO	450 (2.6) Dave Jones, 1/08 Coventry, England
	451 (3.8) + Steve Wilson, 6/08 Raytown, MO	452 (3.8) – 4! – 4! Steve Wilson, 6/08 Raytown, MO				456 (3.4) – 44 Steve Wilson, 6/08 Raytown, MO		458 (3.8) + 4 + 4 Steve Wilson, 6/08 Raytown, MO
						466 (3.8) + 4 × 4 Steve Wilson, 6/08 Raytown, MO		468 (3.2) 444 + 4! Steve Wilson, 2/08 Raytown, MO
		472 (3.6) – 4! – 4 Steve Wilson, 6/08 Raytown, MO		474 (3.8) – 4! – Steve Wilson, 6/08 Raytown, MO		476 (3.4) 4! × (4! – 4) – 4 Steve Wilson, 6/08 Raytown, MO		478 (3.6) 4! × (4! – 4) – Steve Wilson, 6/08 Raytown, MO		480 (3.6) 4! × × Steve Wilson, 6/08 Raytown, MO
		482 (3.6) 4! × (4! – 4) + Steve Wilson, 6/08 Raytown, MO		484 (3.4) 4! × (4! – 4) + 4 Steve Wilson, 6/08 Raytown, MO		486 (3.6) – 4 Steve Wilson, 6/08 Raytown, MO		488 (3.8)