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Four fours is a classic problem, dating back at least 90 years. Create each of the positive integers using four copies of 4, and any standard operations. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.
Use the online submissions page to get your Integermania solutions posted here! This problem is now in semi-retired status, so you may submit an unlimited number of solutions each month.
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201-1600), Page 5 (1601-2000), Page 6 (2001-2400), Page 7 (2401-2800), Page 8 (2801-3200), Page 9 (3201-3600), Page 10 (3601-4000), Page 11 (4001+).
| 1201 (3.6) $\dfrac{4!}{(\sqrt{4})\%} + \dfrac44$ Steve Wilson, 8/09 Raytown, MO |
1202 (3.8) $4! \times \dfrac{\sqrt{4}}{4\%} + \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1203 (4.0) $\dfrac{4! - (\sqrt{4})\%}{(\sqrt{4})\%} + 4$ Steve Wilson, 10/09 Raytown, MO |
1204 (3.6) $4! \times \dfrac{\sqrt{4}}{4\%} + 4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1205 (4.0) $\dfrac{4! + 4! + \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1206 (3.8) $\dfrac{4!}{(\sqrt{4})\%} + 4 + \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
1207 (4.8) $\cosh(\sqrt{4} \times \arcsch (4\%)) - 44$ Steve Wilson, 10/23 Lawrence, KS |
1208 (3.6) $\left( \dfrac{4!}{4\%} + 4 \right) \times \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1209 (4.0) $\dfrac{4!}{(\sqrt{4})\%} + \dfrac{4}{.\overline{4}}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1210 (3.6) $\left( \sqrt{ \left( \dfrac{44}{4\%} \right)^4} \right) \pmf$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
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| 1211 (3.6) $\dfrac{.\overline{4} + (4 - .\overline{4}\%)\%}{4\%\%}$ Steve Wilson, 8/09 Raytown, MO |
1212 (4.0) $(4! + 4!\%) \times \dfrac{\sqrt{4}}{4\%}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1213 (4.2) $\dfrac{4! + (4! + \sqrt{4})\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1214 (4.0) $\dfrac{4! + (4! + 4)\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1215 (4.0) $\dfrac{\dfrac{\sqrt{4}}{4} + 4\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1216 (3.6) $\dfrac{4!}{(\sqrt{4})\%} + 4 \times 4$ Steve Wilson, 8/09 Raytown, MO |
1217 (4.6) $4! \times \left( \sqrt{ .\overline{4}\%^{-4}}\right) \pm + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1218 (4.0) $\dfrac{4! + .4 - 4\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1219 (4.4) $4! \times \left( \sqrt{ .\overline{4}\%^{-4}}\right) \pm + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1220 (3.8) $(4! + .4) \times \dfrac{\sqrt{4}}{4\%}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
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| 1221 (4.2) $\dfrac{4! + .4 + (\sqrt{4})\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1222 (3.8) $\dfrac{4! + 44\%}{(\sqrt{4})\%}$ Steve Wilson, 8/09 Raytown, MO |
1223 (4.2) $\dfrac{4! - (\sqrt{4})\%}{(\sqrt{4})\%} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1224 (3.8) $4! \times \dfrac{\sqrt{4}}{4\%} + 4!$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1225 (3.0) $\dfrac{4 + \dfrac{.4}{.\overline{4}}}{.4\%}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1226 (3.6) $\sqrt{ \dfrac{4}{4\%^4}} - 4!$ Steve Wilson, 8/09 Raytown, MO |
1227 (4.4) $\dfrac{4! + \dfrac{4!\%}{.\overline{4}}}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1228 (3.8) $\dfrac{4!}{(\sqrt{4})\%} + 4! + 4$ Steve Wilson, 8/09 Raytown, MO |
1229 (5.2) $\cosh(\sqrt{4} \times \arsech (4\%)) - \dfrac{4}{\sqrt{4\%}}$ Steve Wilson, 10/23 Lawrence, KS |
1230 (4.2) $\dfrac{ \sqrt{\sqrt{4 \pmf^{-4}}} - 4}{\sqrt{4\%}}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
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| 1231 (5.0) $4! \times \left(\left( \sqrt{.\overline{4}\%^{-4}} \right) \pm + \sqrt{.\overline{4}} \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1232 (3.2) $44 \times (4! + 4)$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1233 (4.8) $\cosh(\sqrt{4} \times \arsech (4\%)) - 4 \times 4$ Steve Wilson, 10/23 Lawrence, KS |
1234 (4.2) $4 \times \left(\left(\sqrt[-.4]{4\%\%}\right)\pmm - 4 \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1235 (4.0) $\dfrac{\sqrt{4} - 4! \pmf}{\sqrt{4\%^4}}$ Steve Wilson, 8/09 Raytown, MO |
1236 (4.2) $\dfrac{4! - 4!\%}{(\sqrt{4})\%} + 4!$ Steve Wilson, 10/09 Raytown, MO |
1237 (5.2) $\cosh(\sqrt{4} \times \arsech (4\%)) - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 10/23 Lawrence, KS |
1238 (4.2) $\dfrac{\sqrt{ (\sqrt{4})\%^{-4}} - 4!}{\sqrt{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1239 (4.6) $4! \times \left( \sqrt{.\overline{4}\%^{-4}} \right) \pm + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1240 (3.6) $\dfrac{4 + 4 \times 4!\%}{4 \pmf}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
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| 1241 (4.8) $\left( \sqrt[-\sqrt{.\overline{4}}]{4\%\%} \right)\% - \dfrac{4}{.\overline{4}}$ Steve Wilson, 10/09 Raytown, MO |
1242 (3.8) $\left( \sqrt{4\%^{-4}} - 4 \right) \times \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1243 (4.8) $\cosh(\sqrt{4} \times \arcsch (4\%)) - 4 - 4$ Steve Wilson, 10/23 Lawrence, KS |
1244 (3.6) $\dfrac{4!}{(\sqrt{4})\%} + 44$ Steve Wilson, 8/09 Raytown, MO |
1245 (3.8) $\dfrac{ \dfrac{\sqrt{4}}{4 \pmf} - \sqrt{4}}{.4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1246 (3.4) $\sqrt{ \dfrac{4}{4\%^4}} - 4$ Steve Wilson, 8/09 Raytown, MO |
1247 (4.8) $\cosh\left(\dfrac{4}{\sqrt{4}} \times \arcsch (4\%)\right) - 4$ Steve Wilson, 10/23 Lawrence, KS |
1248 (3.6) $4! \times (4! + 4! + 4)$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1249 (3.6) $\dfrac{ \dfrac{\sqrt{4}}{4\%\%} - 4}{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1250 (2.4) $\dfrac{4 + \dfrac44}{.4\%}$ Steve Wilson, 1/09 Raytown, MO |
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| 1251 (3.6) $\dfrac{\dfrac{\sqrt{4}}{4\%\%} + 4}{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1252 (3.6) $\sqrt{ \dfrac{4}{4\%^4}} + \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
1253 (4.8) $\cosh\left(\dfrac{4}{\sqrt{4}} \times \arsech (4\%)\right) + 4$ Steve Wilson, 10/23 Lawrence, KS |
1254 (3.4) $\sqrt{\dfrac{4}{4\%^4}} + 4$ Steve Wilson, 8/09 Raytown, MO |
1255 (3.8) $\dfrac{ \dfrac{\sqrt{4}}{4 \pmf} + \sqrt{4}}{.4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1256 (3.2) $\dfrac{4}{4 \pmf} + 4^4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1257 (4.8) $\cosh(\sqrt{4} \times \arsech (4\%)) + 4 + 4$ Steve Wilson, 10/23 Lawrence, KS |
1258 (3.8) $\left( \sqrt{4\%^{-4}} + 4 \right) \times \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1259 (4.8) $\left(\sqrt[-\sqrt{.\overline{4}}]{4\%\%}\right)\%+\dfrac{4}{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1260 (2.8) $\dfrac{4 + 4 \times .4}{.\overline{4}\%}$ Steve Wilson, 1/09 Raytown, MO |
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| 1261 (5.0) $\cosh(\sqrt{4} \times \arcsch (4\%)) + \dfrac{4}{.4}$ Steve Wilson, 10/23 Lawrence, KS |
1262 (4.2) $\dfrac{\sqrt{(\sqrt{4})\%^{-4}} + 4!}{\sqrt{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1263 (4.6) $4! \times\left(\left(\sqrt{.\overline{4}\%^{-4}}\right)\pm+\sqrt{4}\right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1264 (4.6) $4! \times \sqrt{ \dfrac{\sqrt{.\overline{4}}}{4!\% \pmf} -4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1265 (4.0) $\dfrac{\sqrt{4} + 4! \pmf}{\sqrt{4\%^4}}$ Steve Wilson, 8/09 Raytown, MO |
1266 (4.2) $4 \times \left(\left( \sqrt[-.4]{4\%\%}\right)\pmm + 4 \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1267 (4.8) $\cosh(\sqrt{4} \times \arcsch (4\%)) + 4 \times 4$ Steve Wilson, 10/23 Lawrence, KS |
1268 (4.0) $\dfrac{ 4^4\% - 4! \pmf}{(\sqrt{4}) \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1269 (4.6) $\dfrac{4 - 4!\%}{.\overline{4}\% \times \sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1270 (3.6) $\dfrac{4^4 - \sqrt{4}}{\sqrt{4\%}}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
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| 1271 (4.8) $\dfrac{4! \times \cosh\ln 4}{4\%} - 4$ Steve Wilson, 9/23 Lawrence, KS |
1272 (3.4) $(4 + \sqrt{4})^4 - 4!$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1273 (5.0) $\dfrac{4! \times \cosh\ln 4}{4\%} - \sqrt{4}$ Steve Wilson, 10/23 Lawrence, KS |
1274 (3.6) $\sqrt{ \dfrac{4}{4\%^4}} + 4!$ Steve Wilson, 8/09 Raytown, MO |
1275 (3.8) $\dfrac{\sqrt{4} + 4\%}{\sqrt{4\%^4}}$ Steve Wilson, 8/09 Raytown, MO |
1276 (3.4) $\dfrac{4^4}{\sqrt{4\%}} - 4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1277 (5.0) $\dfrac{4! \times \cosh\ln 4}{4\%} + \sqrt{4}$ Steve Wilson, 10/23 Lawrence, KS |
1278 (3.6) $\dfrac{4^4}{\sqrt{4\%}} - \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1279 (3.8) $\dfrac{4^4 - \sqrt{4\%}}{\sqrt{4\%}}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1280 (3.4) $4^4 \times \dfrac{\sqrt{4}}{.4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
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| 1281 (3.8) $\dfrac{4^4 + \sqrt{4\%}}{\sqrt{4\%}}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1282 (3.6) $\dfrac{4^4}{\sqrt{4\%}} + \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1283 (5.0) $\cosh(\sqrt{4} \times \arcsch (4\%)) + \sqrt[.4]{4}$ Steve Wilson, 10/23 Lawrence, KS |
1284 (3.4) $\dfrac{4^4}{\sqrt{4\%}} + 4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1285 (5.0) $\dfrac{4! \times \cosh\ln 4 + .4}{4\%}$ Steve Wilson, 10/23 Lawrence, KS |
1286 (4.8) $\dfrac{\left(\sqrt{4!^4}\right)\pmf - .\overline{4}\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1287 (3.8) $\dfrac{ \sqrt{4!^4} - 4}{.\overline{4}}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1288 (4.2) $\dfrac{\sqrt{4} + (4! \times 4!) \pmf}{(\sqrt{4}) \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1289 (5.2) $\cosh(\sqrt{4} \times \arsech (4\%)) + 4\pm \times \antilog 4$ Steve Wilson, 11/23 Lawrence, KS |
1290 (3.6) $\dfrac{4^4 + \sqrt{4}}{\sqrt{4\%}}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
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| 1291 (5.2) $\cosh(\sqrt{4} \times \arcsch (4\%)) + 4\pm \times \antilog 4$ Steve Wilson, 11/23 Lawrence, KS |
1292 (3.2) $(4 + \sqrt{4})^4 - 4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1293 (4.8) $\cosh(\sqrt{4} \times \arsech (4\%)) + 44$ Steve Wilson, 10/23 Lawrence, KS |
1294 (3.4) $(4 + \sqrt{4})^4 - \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1295 (4.2) $\dfrac{\sqrt{4!^4} - .\overline{4}}{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1296 (3.2) $\left( 4 + \sqrt[\sqrt{4}]{4} \right)^4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1297 (4.2) $\dfrac{\sqrt{4!^4} + .\overline{4}}{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1298 (3.4) $(4 + \sqrt{4})^4 + \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1299 (4.2) $\dfrac{4! + \sqrt{4} - (\sqrt{4})\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1300 (3.0) $\dfrac{4 + 4 \times .\overline{4}}{.\overline{4}\%}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
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| 1301 (4.2) $\dfrac{4! + \sqrt{4} + (\sqrt{4})\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1302 (4.0) $\dfrac{4! + \sqrt{4} + 4\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1303 (5.6) $\coth\ln\coth\arsinh(4! + \sqrt{4}) - \dfrac{\sqrt{4}}{4\%}$ Steve Wilson, 11/23 Lawrence, KS |
1304 (3.6) $\dfrac{4^4}{\sqrt{4\%}} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1305 (3.8) $\dfrac{\sqrt{4!^4} + 4}{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1306 (4.8) $\dfrac{.\overline{4}\% + \left(\sqrt{4!^4}\right) \pmf}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1307 (5.2) $\coth\ln\coth\arcosh(4! + \sqrt{4}) - 44$ Steve Wilson, 11/23 Lawrence, KS |
1308 (4.8) $\dfrac{(4! + 4!\%)\% + 4!\pmf}{(\sqrt{4})\%\%}$ Steve Wilson, 11/23 Lawrence, KS |
1309 (5.2) $\coth\ln\coth\arsinh(4! + \sqrt{4}) - 44$ Steve Wilson, 11/23 Lawrence, KS |
1310 (3.8) $\dfrac{\dfrac{\sqrt{4}}{4 \pmf} + 4!}{.4}$ Steve Wilson, 10/09 Raytown, MO |
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| 1311 (4.4) $4! \times \left(\left( \sqrt{.\overline{4}\%^{-4}} \right) \pm + 4 \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1312 (4.2) $\dfrac{4! + \sqrt{4} + 4!\%}{(\sqrt{4})\%}$ Steve Wilson, 10/09 Raytown, MO |
1313 (5.6) $\coth\ln\coth\arsinh(4! + \sqrt{4}) - 4\pm \times \antilog 4$ Steve Wilson, 11/23 Lawrence, KS |
1314 (4.4) $\dfrac{\dfrac{4}{.\overline{4}\%} - 4!}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1315 (5.6) $\cosh(\sqrt{4} \times \arcsch (4\%)) + \sqrt{\sqrt{\sqrt{4^{4!}}}}$ Steve Wilson, 11/23 Lawrence, KS |
1316 (4.4) $\dfrac{4!\% + 4! \pmf}{(\sqrt{4})\%\%} - 4$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1317 (5.8) $\coth\ln\coth\arsech(4\%) + \sqrt{\sqrt{\sqrt{4^{4!}}}} + 4$ Steve Wilson, 11/23 Lawrence, KS |
1318 (4.6) $\dfrac{4!\% + 4! \pmf}{(\sqrt{4})\%\%} - \sqrt{4}$ Steve Wilson, 11/23 Lawrence, KS |
1319 (4.8) $\dfrac{(4! - (\sqrt{4})\%)\% + 4! \pmf}{(\sqrt{4})\%\%}$ Steve Wilson, 11/23 Lawrence, KS |
1320 (4.0) $\sqrt{4} \times \dfrac{44}{\sqrt{.\overline{4}\%}}$ David Barksdale, 3/09 Kirkland, WA |
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| 1321 (4.8) $\dfrac{(4! + (\sqrt{4})\%)\% + 4! \pmf}{(\sqrt{4})\%\%}$ Steve Wilson, 11/23 Lawrence, KS |
1322 (4.6) $\dfrac{4!\% + 4! \pmf}{(\sqrt{4})\%\%} + \sqrt{4}$ Steve Wilson, 11/23 Lawrence, KS |
1323 (5.4) $\coth\ln\coth\arcosh(4! + \sqrt{4}) - 4! - 4$ Steve Wilson, 11/23 Lawrence, KS |
1324 (4.0) $\dfrac{4! + \sqrt{4}}{(\sqrt{4})\%} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1325 (4.2) $\dfrac{4! - .\overline{4}}{4 \times .\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1326 (4.0) $\dfrac{4 + \sqrt{4}}{.\overline{4}\%} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1327 (5.4) $\coth\ln\coth\arcosh\left(4! + \dfrac{4}{\sqrt{4}}\right) - 4!$ Steve Wilson, 11/23 Lawrence, KS |
1328 (3.8) $\dfrac{4! + 4^4\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1329 (5.4) $\coth\ln\coth\arsinh\left(4! + \dfrac{4}{\sqrt{4}}\right) - 4!$ Steve Wilson, 11/23 Lawrence, KS |
1330 (4.6) $\dfrac{4!\% + (4! + \sqrt{4})\pmf}{(\sqrt{4})\%\%}$ Steve Wilson, 11/23 Lawrence, KS |
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| 1331 (3.8) $\sqrt{\sqrt{\sqrt{ \left( \dfrac{44}{4} \right)^{4!} }}}$ Steve Wilson, 10/09 Raytown, MO |
1332 (4.0) $\dfrac{4 - 4 \pmf}{\left( \sqrt{\dfrac{4}{.\overline{4}}} \right) \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1333 (5.4) $\coth\ln\coth\arsinh(4! + \sqrt{4}) - 4! + 4$ Steve Wilson, 11/23 Lawrence, KS |
1334 (4.2) $\dfrac{4+(\sqrt{4})\pmf}{\left(\sqrt{\dfrac{4}{.\overline{4}}}\right)\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1335 (3.8) $\dfrac{ \sqrt[.4]{4} + 4\%}{4! \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1336 (4.0) $\left( \dfrac{4}{(\sqrt{4}) \pmf} + 4 \right) \times \sqrt{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1337 (5.2) $\coth\ln\coth\arsinh(4! + \sqrt{4}) - 4 \times 4$ Steve Wilson, 11/23 Lawrence, KS |
1338 (5.6) $\dfrac{\cot\arctan(4\%) + \sqrt{4} - 4!\%}{(\sqrt{4})\%}$ Steve Wilson, 11/23 Lawrence, KS |
1339 (5.6) $\coth\ln\coth\arsinh(4! + \sqrt{4}) - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 11/23 Lawrence, KS |
1340 (4.0) $\dfrac{ \dfrac{4!}{.\overline{4}} - .4}{4\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1341 (4.0) $\dfrac{4 + \sqrt{4} - 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1342 (5.6) $\coth\ln\coth\arcosh(4! + \sqrt{4}) - \dfrac{4}{.\overline{4}}$ Steve Wilson, 11/23 Lawrence, KS |
1343 (5.2) $\coth\ln\coth\arcosh(4! + \sqrt{4}) - 4 - 4$ Steve Wilson, 11/23 Lawrence, KS |
1344 (3.6) $(4! + 4) \times (4! + 4!)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1345 (4.0) $(4 + \sqrt{4})! + \sqrt{4\%^{-4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1346 (3.8) $\dfrac{4 + \sqrt{4}}{.\overline{4}\%} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1347 (4.4) $\dfrac{ \dfrac{4}{.\overline{4}\%} - \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1348 (4.0) $\dfrac{4 + \sqrt{4}}{.\overline{4}\%} - \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1349 (3.8) $\dfrac{\dfrac{4!}{.\overline{4}\%} - 4}{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1350 (2.8) $\dfrac{ \dfrac{4}{.4} - 4}{.\overline{4}\%}$ Steve Wilson, 1/09 Raytown, MO |
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| 1351 (3.8) $\dfrac{\dfrac{4!}{.\overline{4}\%} + 4}{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1352 (3.6) $\sqrt{4 \times (4! + \sqrt{4})^4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1353 (4.4) $\dfrac{\dfrac{4}{.\overline{4}\%} + \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1354 (3.8) $\dfrac{4 + \sqrt{4}}{.\overline{4}\%} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1355 (4.2) $\dfrac{ \dfrac{4!}{.\overline{4}} + \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1356 (4.2) $\dfrac{\dfrac{4}{.\overline{4}\%} + 4}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1357 (5.2) $\coth\ln\coth\arsinh\left(4! + \dfrac{4}{\sqrt{4}}\right) + 4$ Steve Wilson, 11/23 Lawrence, KS |
1358 (5.6) $\coth\ln\coth\arsinh(4! + \sqrt{4}) + \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 11/23 Lawrence, KS |
1359 (4.0) $\dfrac{4 + \sqrt{4} + 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1360 (4.0) $\dfrac{\dfrac{4!}{.\overline{4}} + .4}{4\%}$ Steve Wilson, 10/09 Raytown, MO |
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| 1361 (5.2) $\coth\ln\coth\arsinh(4! + \sqrt{4}) + 4 + 4$ Steve Wilson, 11/23 Lawrence, KS |
1362 (5.0) $\dfrac{44}{\tanh\ln\coth\arcosh 4} - \sqrt{4}$ Steve Wilson, 11/23 Lawrence, KS |
1363 (5.4) $\coth\ln\coth\arsinh(4! + \sqrt{4}) + \dfrac{4}{.4}$ Steve Wilson, 11/23 Lawrence, KS |
1364 (4.6) $44 \times \cosh( \sqrt{4} \times \arcosh 4)$ Steve Wilson, 11/23 Lawrence, KS |
1365 (4.6) $\dfrac{\sqrt{.\overline{4}} - (4 + \sqrt{4})\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1366 (4.8) $\dfrac{\sqrt{ \sqrt[\sqrt{.\overline{4}\%}]{4}}}{4!} + \sqrt{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1367 (5.2) $\coth\ln\coth\arcosh(4! + \sqrt{4}) + 4 \times 4$ Steve Wilson, 11/23 Lawrence, KS |
1368 (4.4) $\dfrac{4 - \sqrt{4\%}}{\sqrt{.\overline{4}\%}} \times 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1369 (4.4) $\dfrac{ \sqrt{\left( 4! + \sqrt{.\overline{4}} \right)^4}}{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1370 (4.4) $\dfrac{4! + \sqrt{\sqrt{4 \pm^{-4}}}}{\sqrt{4\%}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1371 (5.4) $\coth\ln\coth\arcosh(4! + \sqrt{4}) + 4! - 4$ Steve Wilson, 11/23 Lawrence, KS |
1372 (4.4) $\dfrac{ \sqrt[\sqrt{.\overline{4}}]{\sqrt{4} - 4\%}}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1373 (5.4) $\coth\ln\coth\arsinh(4! + \sqrt{4}) + 4! - 4$ Steve Wilson, 11/23 Lawrence, KS |
1374 (4.0) $\dfrac{4 + \sqrt{4}}{.\overline{4}\%} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1375 (3.4) $\dfrac{44}{\left( \sqrt[.4]{4} \right) \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1376 (3.8) $\dfrac{4! + 4}{(\sqrt{4})\%} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1377 (5.4) $\sqrt{4 \times 4!^4} + \cot\arctan (.\overline{4}\%)$ Steve Wilson, 5/10 Raytown, MO |
1378 (5.6) $(4! + \sqrt{4}) \times (4 + \coth\ln\coth\arcsch\sqrt{4\%})$ Steve Wilson, 5/24 Lawrence, KS |
1379 (5.4) $\coth\ln\coth\arcosh(4! + \sqrt{4}) + 4! + 4$ Steve Wilson, 11/23 Lawrence, KS |
1380 (3.8) $\dfrac{4! + 4 - .4}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1381 (5.4) $\coth\ln\coth\arsinh(4! + \sqrt{4}) + 4! + 4$ Steve Wilson, 11/23 Lawrence, KS |
1382 (4.0) $\dfrac{4!^4 \pmf}{4!\%} - .4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1383 (5.4) $\coth\ln\coth\arcosh(4! + \sqrt{4}) + \sqrt[.4]{4}$ Steve Wilson, 11/23 Lawrence, KS |
1384 (4.6) $\dfrac{\sqrt{.\overline{4}} + 4^4 \pmf}{\left(\sqrt{.\overline{4}} \right) \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1385 (5.4) $\coth\ln\coth\arsinh(4! + \sqrt{4}) + \sqrt[.4]{4}$ Steve Wilson, 11/23 Lawrence, KS |
1386 (4.4) $\dfrac{ \dfrac{4}{.\overline{4}\%} + 4!}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1387 (5.6) $\coth\ln\coth\arcosh(4!) + 4!\pm \times \antilog 4 - 4$ Steve Wilson, 5/24 Lawrence, KS |
1388 (4.0) $\dfrac{4! + 4 - 4!\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1389 (5.6) $\coth\ln\coth\arsinh(4!) + 4!\pm \times \antilog 4 - 4$ Steve Wilson, 5/24 Lawrence, KS |
1390 (4.0) $\dfrac{4! + 4 - \sqrt{4\%}}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1391 (5.4) $\cosh(\sqrt{4} \times \arcosh(4!)) + 4!\pm \times \antilog 4$ Steve Wilson, 5/24 Lawrence, KS |
1392 (3.8) $4! \times \left( \dfrac{4!}{.\overline{4}} + 4 \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1393 (5.4) $\cosh(\sqrt{4} \times \arsinh(4!)) + 4!\pm \times \antilog 4$ Steve Wilson, 5/24 Lawrence, KS |
1394 (5.6) $44 + \ln\sqrt{\sqrt{\exp\dfrac{4!}{.\overline{4}\%}}}$ Steve Wilson, 5/24 Lawrence, KS |
1395 (4.2) $\dfrac{4 + \sqrt{4} + \sqrt{4\%}}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1396 (3.6) $\dfrac{4! + 4}{(\sqrt{4})\%} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1397 (5.6) $\coth\ln\coth\arsinh(4!) + 4!\pm \times \antilog 4 + 4$ Steve Wilson, 5/24 Lawrence, KS |
1398 (3.8) $\dfrac{4! + 4 - 4\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1399 (4.0) $\dfrac{4! + 4 - (\sqrt{4})\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1400 (2.6) $\dfrac{4 + 4 \times .4}{.4\%}$ Steve Wilson, 1/09 Raytown, MO |
|
| 1401 (4.0) $\dfrac{4! + 4 + (\sqrt{4})\%}{(\sqrt{4})\%}$ Steve Wilson, 10/09 Raytown, MO |
1402 (3.8) $\dfrac{4! + 4 + 4\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1403 (5.4) $\dfrac{4! + 4}{(\sqrt{4})\%} + \coth\ln\sqrt{\sqrt{4}}$ Steve Wilson, 5/24 Lawrence, KS |
1404 (3.6) $\dfrac{4! + 4}{(\sqrt{4})\%} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1405 (5.4) $\dfrac{4! + 4}{(\sqrt{4})\%} + \cot\arctan\sqrt{4\%}$ Steve Wilson, 5/24 Lawrence, KS |
1406 (4.4) $\dfrac{\sqrt{.\overline{4}} - 4\%}{.\overline{4} \pmf} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1407 (4.8) $\cosh(\sqrt{4} \times \arsinh (4!)) + 4^4$ Steve Wilson, 9/23 Lawrence, KS |
1408 (3.2) $\sqrt[.4]{4} \times 44$ Steve Wilson, 10/09 Raytown, MO |
1409 (4.8) $\cosh(\sqrt{4} \times \arcosh (4!)) + 4^4$ Steve Wilson, 9/23 Lawrence, KS |
1410 (4.0) $\dfrac{4! + 4 + \sqrt{4\%}}{(\sqrt{4})\%}$ Steve Wilson, 10/09 Raytown, MO |
|
| 1411 (5.0) $\coth\ln\coth\arcosh(4!) + 4^4 + 4$ Steve Wilson, 5/24 Lawrence, KS |
1412 (4.0) $\dfrac{4! + 4 + 4!\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1413 (5.0) $\coth\ln\coth\arsinh(4!) + 4^4 + 4$ Steve Wilson, 5/24 Lawrence, KS |
1414 (4.4) $\dfrac{\sqrt{.\overline{4}} - 4\%}{.\overline{4} \pmf} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1415 (5.4) $\dfrac{4!}{(\coth\ln\sqrt{4})\%} - \dfrac{\antilog\sqrt{4}}{4}$ Steve Wilson, 5/24 Lawrence, KS |
1416 (3.8) $(4 + \sqrt{4})! \times \sqrt{4} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1417 (5.8) $\dfrac{4!}{(\coth\ln\sqrt{4})\%} - \cot\arctan(4\%) + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1418 (5.4) $\dfrac{4!}{(\coth\ln\sqrt{4})\%} - 4! + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1419 (4.6) $\dfrac{\sqrt{.\overline{4}} - (4 - .4)\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1420 (3.6) $\dfrac{4! + 4.4}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1421 (5.2) $\dfrac{4! + \coth\ln\coth\arsinh 4}{4\%} - 4$ Steve Wilson, 5/24 Lawrence, KS |
1422 (4.6) $\dfrac{\sqrt{.4 - \sqrt{4! \pm^4}}}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1423 (5.4) $\dfrac{4! + \coth\ln\coth\arsinh 4}{4\%} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1424 (3.8) $\dfrac{4! + 4}{(\sqrt{4})\%} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1425 (4.2) $\dfrac{4! + \dfrac{\sqrt{4}}{.\overline{4}}}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1426 (4.6) $\dfrac{.\overline{4} + \sqrt{4\%}}{.\overline{4} \pmf} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1427 (5.4) $\dfrac{4! + \coth\ln\coth\arsinh 4}{4\%} + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1428 (4.0) $\dfrac{4! - \sqrt{4\%}}{.4} \times 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1429 (5.2) $\dfrac{4! + \coth\ln\coth\arsinh 4}{4\%} + 4$ Steve Wilson, 5/24 Lawrence, KS |
1430 (3.6) $\dfrac{\sqrt{4!^4} - 4}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1431 (4.4) $\dfrac{.4 + (4! - .4)\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1432 (3.6) $\left( (4 + \sqrt{4})! - 4 \right) \times \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1433 (5.8) $\dfrac{4!}{(\coth\ln\sqrt{4})\%} - \cosh(\sqrt{4} \times \arcosh\sqrt{4})$ Steve Wilson, 5/24 Lawrence, KS |
1434 (4.6) $\dfrac{\sqrt{.\overline{4}} - 4\%}{.\overline{4} \pmf} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1435 (3.8) $\dfrac{\sqrt{4!^4} - \sqrt{4}}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1436 (3.6) $(4 + \sqrt{4})! \times \sqrt{4} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1437 (4.4) $\dfrac{4 \times 4! - \sqrt{4\%}}{\sqrt{.\overline{4}\%}}$ Steve Wilson, 10/09 Raytown, MO |
1438 (3.8) $(4 + \sqrt{4})! \times \sqrt{4} - \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1439 (3.8) $\dfrac{\sqrt{4!^4} - .4}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1440 (2.8) $4 \times 4 \times \dfrac{.4}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1441 (3.8) $\dfrac{ \sqrt{4!^4} + .4}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1442 (3.8) $(4 + \sqrt{4})! \times \sqrt{4} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1443 (4.4) $\dfrac{4 \times 4! + \sqrt{4\%}}{\sqrt{.\overline{4}\%}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1444 (3.6) $(4 + \sqrt{4})! \times \sqrt{4} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1445 (3.8) $\dfrac{\sqrt{4!^4} + \sqrt{4}}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1446 (4.4) $\dfrac{.\overline{4} + \sqrt{4\%}}{.\overline{4} \pmf} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1447 (5.6) $\coth\ln\coth\arcosh(4! + 4) - \left(\dfrac{\sqrt{4}}{.4}\right)!$ Steve Wilson, 11/23 Lawrence, KS |
1448 (3.6) $\left( (4 + \sqrt{4})! + 4 \right) \times \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1449 (4.4) $\dfrac{.4 + (4! + .4)\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1450 (3.8) $\dfrac{ \dfrac{4!}{.\overline{4}} + 4}{4\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1451 (5.2) $\cosh(\sqrt{4} \times \arcsch(4\%)) + \dfrac{4}{(\sqrt{4})\%}$ Steve Wilson, 11/23 Lawrence, KS |
1452 (4.0) $\dfrac{4! + \sqrt{4\%}}{.4} \times 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1453 (5.6) $\dfrac{\cosh(4 \times \arcosh\sqrt{4})}{\sqrt{.\overline{4}\%}} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1454 (4.4) $\dfrac{.\overline{4} + \sqrt{4\%}}{.\overline{4} \pmf} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1455 (4.6) $\dfrac{\sqrt{.\overline{4}} - (4! - 4) \pmf}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1456 (3.6) $\dfrac{4!}{(\sqrt{4})\%} + 4^4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1457 (5.6) $\dfrac{\cosh(4 \times \arcosh\sqrt{4})}{\sqrt{.\overline{4}\%}} + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1458 (3.8) $\sqrt{ \dfrac{ \left(\dfrac{4!}{.\overline{4}}\right)^4}{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1459 (5.4) $\dfrac{\cosh(4 \times \arcosh\sqrt{4})}{\sqrt{.\overline{4}\%}} + 4$ Steve Wilson, 5/24 Lawrence, KS |
1460 (4.8) $\dfrac{\sqrt{.\overline{4}} - 4 \times .\overline{4}\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1461 (5.6) $\dfrac{4!}{(\coth\ln\sqrt{4})\%} + \cot\arctan(4\%) - 4$ Steve Wilson, 5/24 Lawrence, KS |
1462 (5.4) $\dfrac{4! + .4}{(\coth\ln\sqrt{4})\%} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1463 (5.8) $\dfrac{4!}{(\coth\ln\sqrt{4})\%} + \cot\arctan(4\%) - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1464 (3.8) $(4 + \sqrt{4})! \times \sqrt{4} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1465 (5.4) $\dfrac{4!}{(\coth\ln\sqrt{4})\%} + \dfrac{\antilog\sqrt{4}}{4}$ Steve Wilson, 5/24 Lawrence, KS |
1466 (5.0) $\dfrac{\sqrt{.\overline{4}} - .\overline{4}\%}{.\overline{4} \pmf} - 4!$ Steve Wilson, 4/24 Lawrence, KS |
1467 (4.6) $\dfrac{\sqrt{.\overline{4}} - 4 \pmf}{.\overline{4} \pmf} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1468 (4.4) $\dfrac{\sqrt{.\overline{4}}}{.\overline{4} \pmf} - \sqrt[.4]{4}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1469 (5.6) $\dfrac{4!}{(\coth\ln\sqrt{4})\%} + \cot\arctan(4\%) + 4$ Steve Wilson, 5/24 Lawrence, KS |
1470 (4.2) $\dfrac{\sqrt{4} - 4\%}{\left(\sqrt{4 \times .\overline{4}} \right) \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1471 (5.2) $\coth\ln\coth\arcosh(4! + 4) - 4! \times 4$ Steve Wilson, 11/23 Lawrence, KS |
1472 (4.4) $\dfrac{\sqrt{.\overline{4}}}{.\overline{4} \pmf} - 4! - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1473 (5.8) $\dfrac{\cosh(4 \times \arcosh\sqrt{4!}) + \sqrt{4}}{\coth\ln\sqrt{\sqrt{4}}}$ Steve Wilson, 5/24 Lawrence, KS |
1474 (4.2) $\sqrt[\sqrt{4\%}]{4} + \dfrac{\sqrt{4}}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1475 (3.6) $\dfrac{4! - .4}{4 \times 4 \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1476 (3.6) $\dfrac{4 + \sqrt{4}}{4 \pmf} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1477 (5.8) $\coth\ln\coth\arcosh(4! + 4) - \dfrac{.4}{.\overline{4}\%}$ Steve Wilson, 5/24 Lawrence, KS |
1478 (4.6) $\dfrac{\sqrt{.\overline{4}}}{.\overline{4} \pmf} - 4! + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1479 (5.4) $\dfrac{\arcsec\sqrt{4}}{(4\%)^\circ} - \cot\arctan(4\%) + 4$ Steve Wilson, 5/24 Lawrence, KS |
1480 (3.8) $\dfrac{.4 + 4^4\%}{(\sqrt{4}) \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1481 (5.4) $4! \times \coth\ln\coth\arsinh 4 \times \sinh\ln 4 - 4$ Steve Wilson, 5/24 Lawrence, KS |
1482 (4.4) $\dfrac{\sqrt{.\overline{4}} - (4 + 4) \pmf}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1483 (5.6) $4! \times \coth\ln\coth\arsinh 4 \times \sinh\ln 4 - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1484 (4.2) $\dfrac{\sqrt{.\overline{4}}}{.\overline{4} \pmf} - 4 \times 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1485 (4.0) $\dfrac{4 - 4\%}{4 \pmf \times \sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1486 (5.2) $\dfrac{(\arcsec\sqrt{4}) - (.4)^\circ}{(4\%)^\circ} - 4$ Steve Wilson, 5/24 Lawrence, KS |
1487 (4.4) $\dfrac{\sqrt{.\overline{4}} - 4 \pmf}{.\overline{4} \pmf} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1488 (3.8) $4! \times \left( \dfrac{4!}{.4} + \sqrt{4} \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1489 (4.6) $\dfrac{\sqrt{.\overline{4}} - 4 \pmf}{.\overline{4} \pmf} - \sqrt{4}$ Steve Wilson, 10/09 Raytown, MO |
1490 (3.6) $\dfrac{4 + \sqrt{4} - 4\%}{4 \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1491 (4.4) $\dfrac{\sqrt{.\overline{44}} - 4 \pmf}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1492 (4.2) $\dfrac{\sqrt{.\overline{4}}}{.\overline{4} \pmf} - 4 - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1493 (4.6) $\dfrac{\sqrt{.\overline{4}} - 4 \pmf}{.\overline{4} \pmf} + \sqrt{4}$ Steve Wilson, 10/09 Raytown, MO |
1494 (3.6) $\dfrac{\dfrac{4!}{4 \pmf} - 4!}{4}$ Steve Wilson, 10/09 Raytown, MO |
1495 (3.8) $\dfrac{4 + \sqrt{4} - (\sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1496 (3.4) $\dfrac{4 + \sqrt{4}}{4 \pmf} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1497 (4.0) $\dfrac{ \dfrac{4}{4 \pmf} - \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1498 (3.6) $\dfrac{4 + \sqrt{4}}{4 \pmf} - \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1499 (3.4) $\dfrac{\dfrac{4!}{4 \pmf} - 4}{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1500 (2.6) $\dfrac{\dfrac{4}{.4} - 4}{.4\%}$ Steve Wilson, 1/09 Raytown, MO |
|
| 1501 (3.4) $\dfrac{\dfrac{4!}{4 \pmf} + 4}{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1502 (3.6) $\dfrac{4 + \sqrt{4}}{4 \pmf} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1503 (4.0) $\dfrac{\dfrac{4}{4 \pmf} + \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1504 (3.4) $\dfrac{4 + \sqrt{4}}{4 \pmf} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1505 (3.8) $\dfrac{4 + \sqrt{4} + (\sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1506 (3.6) $\dfrac{\dfrac{4!}{4 \pmf} + 4!}{4}$ Steve Wilson, 10/09 Raytown, MO |
1507 (4.6) $\dfrac{\sqrt{.\overline{4}} + 4 \pmf}{.\overline{4} \pmf} - \sqrt{4}$ Steve Wilson, 10/09 Raytown, MO |
1508 (3.8) $\dfrac{ \left( \dfrac{4}{.4} \right)!\%}{4!} - 4$ Steve Wilson, 10/09 Raytown, MO |
1509 (4.4) $\dfrac{ \sqrt{.\overline{44}} + 4 \pmf}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1510 (3.6) $\dfrac{4 + \sqrt{4} + 4\%}{4 \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1511 (4.6) $\dfrac{\sqrt{.\overline{4}} + 4 \pmf}{.\overline{4} \pmf} + \sqrt{4}$ Steve Wilson, 10/09 Raytown, MO |
1512 (3.8) $(4! + 4) + \dfrac{4!}{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1513 (4.4) $\dfrac{\sqrt{.\overline{4}} + 4 \pmf}{.\overline{4} \pmf} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1514 (4.0) $\dfrac{\left( \dfrac{4}{.4} \right)!\%}{4!} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1515 (4.0) $\dfrac{4 + 4\%}{4 \pmf \times \sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1516 (3.8) $\dfrac{\left( \dfrac{4}{.4} \right)!\%}{4!} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1517 (5.4) $\coth\ln\coth\arcosh(4! + 4) - \dfrac{\sqrt{4}}{4\%}$ Steve Wilson, 11/23 Lawrence, KS |
1518 (4.4) $\dfrac{\sqrt{.\overline{4}} + (4 + 4) \pmf}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1519 (5.4) $\coth\ln\coth\arcosh(4! + 4) - 4! \times \sqrt{4}$ Steve Wilson, 11/23 Lawrence, KS |
1520 (3.8) $\dfrac{4 - 4! \times 4\%}{(\sqrt{4}) \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1521 (4.0) $\dfrac{\sqrt{(4! + \sqrt{4})^4}}{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1522 (4.6) $\dfrac{\sqrt{.\overline{4}}}{.\overline{4} \pmf} + 4! - \sqrt{4}$ Steve Wilson, 10/09 Raytown, MO |
1523 (5.0) $\coth\ln\coth\arcosh(4! + 4) - 44$ Steve Wilson, 11/23 Lawrence, KS |
1524 (3.6) $\dfrac{4 + \sqrt{4}}{4 \pmf} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1525 (3.6) $\dfrac{4! + .4}{4 \times 4 \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1526 (4.6) $\dfrac{\sqrt{.\overline{4}}}{.\overline{4} \pmf} + 4! + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1527 (5.6) $\dfrac{\arcsec\sqrt{4}}{(4\%)^\circ} + \cot\arctan(4\%) + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1528 (4.4) $\dfrac{\sqrt{.\overline{4}}}{.\overline{4} \pmf} + 4! + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1529 (5.4) $\dfrac{\arcsec\sqrt{4}}{(4\%)^\circ} + \cot\arctan(4\%) + 4$ Steve Wilson, 5/24 Lawrence, KS |
1530 (4.0) $\dfrac{(44 + 4!)\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1531 (4.6) $\dfrac{.\overline{4} + (4! - .4)\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1532 (4.0) $\dfrac{ \sqrt[\sqrt{4\%}]{4}}{\sqrt{.\overline{4}}} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1533 (4.2) $\dfrac{ \sqrt[\sqrt{4\%}]{4} - \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1534 (4.2) $\dfrac{ \sqrt[\sqrt{4\%}]{4}}{\sqrt{.\overline{4}}} - \sqrt{4}$ Steve Wilson, 10/09 Raytown, MO |
1535 (5.2) $\coth\ln\coth\arcosh(4! + 4) - \sqrt[.4]{4}$ Steve Wilson, 11/23 Lawrence, KS |
1536 (3.2) $4^4 \times \dfrac{4!}{4}$ Jeremy Miller, 8/07 Olathe, KS |
1537 (5.8) $\coth\ln\coth\arcosh(4! + 4) - \sqrt{\dfrac{4}{.\overline{4}\%}}$ Steve Wilson, 11/23 Lawrence, KS |
1538 (4.2) $\dfrac{ \sqrt[\sqrt{4\%}]{4}}{\sqrt{.\overline{4}}} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1539 (4.2) $\dfrac{ \sqrt[\sqrt{4\%}]{4} + \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1540 (4.0) $\dfrac{ \sqrt[\sqrt{4\%}]{4}}{\sqrt{.\overline{4}}} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1541 (5.4) $\coth\ln\coth\arcosh(4! + 4) - 4! - \sqrt{4}$ Steve Wilson, 11/23 Lawrence, KS |
1542 (4.0) $\dfrac{ \sqrt[\sqrt{4\%}]{4} + 4}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1543 (5.0) $\cosh \left(\sqrt{4} \times \arcosh(4! + 4) \right) - 4!$ Steve Wilson, 11/23 Lawrence, KS |
1544 (4.2) $\dfrac{\sqrt{.\overline{4}}}{.\overline{4} \pmf} + 44$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1545 (4.6) $\dfrac{\sqrt{.\overline{4}} + (4 - \sqrt{4})\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1546 (5.2) $\dfrac{(\arcsec\sqrt{4}) + (\sqrt{4})^\circ}{(4\%)^\circ} - 4$ Steve Wilson, 5/24 Lawrence, KS |
1547 (5.4) $\coth\ln\coth\arcosh(4! + 4) - \dfrac{4}{\sqrt{4\%}}$ Steve Wilson, 11/23 Lawrence, KS |
1548 (4.2) $4! \times \left( \left( \sqrt{4 \pm^{-4}} \right) \pm + \sqrt{4} \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1549 (4.6) $\dfrac{.\overline{4} + (4! + .4)\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1550 (3.8) $\dfrac{4 + \sqrt{4} + \sqrt{4\%}}{4 \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1551 (5.0) $\coth\ln\coth\arcosh(4! + 4) - 4 \times 4$ Steve Wilson, 11/23 Lawrence, KS |
1552 (5.0) $\dfrac{4}{(\cot\arctan 4)\%} - 4! - 4!$ Steve Wilson, 5/24 Lawrence, KS |
1553 (5.6) $\dfrac{4}{(\cot\arctan 4)\%} - \cosh(\sqrt{4} \times \arcosh\sqrt{4!})$ Steve Wilson, 5/24 Lawrence, KS |
1554 (5.2) $\dfrac{(\arcsec\sqrt{4}) + (\sqrt{4})^\circ}{(4\%)^\circ} + 4$ Steve Wilson, 5/24 Lawrence, KS |
1555 (5.4) $\coth\ln\coth\arcosh(4! + 4) - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 11/23 Lawrence, KS |
1556 (4.6) $\dfrac{4}{(\cot\arctan 4)\%} - 44$ Steve Wilson, 5/24 Lawrence, KS |
1557 (5.2) $\coth\ln\coth\arcosh(4! + 4) - \dfrac{4}{.4}$ Steve Wilson, 11/23 Lawrence, KS |
1558 (5.4) $\coth\ln\coth\arcosh(4! + 4) - \dfrac{4}{.\overline{4}}$ Steve Wilson, 11/23 Lawrence, KS |
1559 (5.0) $\coth\ln\coth\arcosh(4! + 4) - 4 - 4$ Steve Wilson, 11/23 Lawrence, KS |
1560 (3.8) $\dfrac{4 + \sqrt{4} + 4!\%}{4 \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1561 (5.2) $\coth\ln\coth\arcosh(4! + 4) - \dfrac{4!}{4}$ Steve Wilson, 11/23 Lawrence, KS |
1562 (4.0) $\dfrac{(\sqrt{4})\%^{-4}\pmf - \sqrt{4}}{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1563 (4.0) $\dfrac{\sqrt{4} + (\sqrt{4})\%^{-4}\pmf}{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1564 (4.6) $\dfrac{.\overline{4} + 4!\%}{.\overline{4} \pmf} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1565 (4.2) $\dfrac{4 - 4!\% - 4 \pmf}{4!\%\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1566 (4.0) $\dfrac{(4 + \sqrt{4})! - 4!}{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1567 (4.8) $\coth\ln\coth\arcosh(44 - 4 \times 4)$ Steve Wilson, 11/23 Lawrence, KS |
1568 (3.4) $\sqrt{4 \times (4! + 4)^4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1569 (4.8) $\cosh \left(\dfrac{4}{\sqrt{4}} \times \arsinh(4! + 4) \right)$ Steve Wilson, 11/23 Lawrence, KS |
1570 (5.6) $\dfrac{(4 + \sqrt{4})!}{.\overline{4}} - \cot\arctan ((\sqrt{4})\%)$ Steve Wilson, 4/10 Raytown, MO |
|
| 1571 (4.8) $\cosh \left(\sqrt{4} \times \arcosh(4! + 4) \right) + 4$ Steve Wilson, 11/23 Lawrence, KS |
1572 (4.2) $\dfrac{\sqrt[\sqrt{4\%}]{4} + 4!}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1573 (4.8) $\cosh \left(\sqrt{4} \times \arsinh(4! + 4) \right) + 4$ Steve Wilson, 11/23 Lawrence, KS |
1574 (5.0) $\dfrac{4}{(\cot\arctan 4)\%} - 4! - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1575 (3.8) $(4 + 4)! \times .4^{-4} \pmf$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1576 (3.6) $(4! - 4)^4 \% - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1577 (5.2) $\coth\ln\coth\arcosh(4! + 4) + \dfrac{4}{.4}$ Steve Wilson, 11/23 Lawrence, KS |
1578 (5.0) $\dfrac{4}{(\cot\arctan 4)\%} - 4! + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1579 (5.4) $\coth\ln\coth\arcosh(4! + 4) + \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 11/23 Lawrence, KS |
1580 (4.0) $\dfrac{(4 + 4)!\% - 4!}{4!\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1581 (4.6) $\dfrac{\sqrt{.\overline{4}} + (4 - .4)\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1582 (5.0) $\dfrac{4 - 4\%}{(\cot\arctan 4)\%} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1583 (5.0) $\coth\ln\coth\arcosh(4! + 4) + 4 \times 4$ Steve Wilson, 11/23 Lawrence, KS |
1584 (3.8) $44 \times \dfrac{4!}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1585 (4.6) $\dfrac{(4! + \sqrt{4})\% + .\overline{4}}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1586 (4.4) $\dfrac{\sqrt{.\overline{4}} + 4\%}{.\overline{4} \pmf} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1587 (5.4) $\coth\ln\coth\arcosh(4! + 4) + \dfrac{4}{\sqrt{4\%}}$ Steve Wilson, 11/23 Lawrence, KS |
1588 (4.0) $\dfrac{\sqrt[.4]{4} - 4!\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1589 (5.4) $\coth\ln\coth\arcosh(4! + 4) + 4! - \sqrt{4}$ Steve Wilson, 11/23 Lawrence, KS |
1590 (4.0) $\dfrac{\sqrt[.4]{4} - \sqrt{4\%}}{(\sqrt{4})\%}$ Steve Wilson, 11/09 Raytown, MO |
|
| 1591 (5.0) $\cosh \left(\sqrt{4} \times \arcosh(4! + 4) \right) + 4!$ Steve Wilson, 11/23 Lawrence, KS |
1592 (4.2) $\dfrac{4 - (\sqrt{4})\%}{\left(\sqrt{\sqrt{4^{-4}}} \right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1593 (5.0) $\cosh \left(\sqrt{4} \times \arsinh(4! + 4) \right) + 4!$ Steve Wilson, 11/23 Lawrence, KS |
1594 (4.4) $\dfrac{\sqrt{.\overline{4}} + 4\%}{.\overline{4} \pmf} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1595 (4.4) $\dfrac{4\% + (4! - \sqrt{4\%}) \pmf}{4\% \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1596 (3.4) $(4! - 4)^4 \% - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1597 (5.8) $\coth\ln\coth\arcosh(4! + 4) + \sqrt{\dfrac{4}{.\overline{4}\%}}$ Steve Wilson, 11/23 Lawrence, KS |
1598 (3.6) $(4! - 4)^4 \% - \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1599 (4.0) $\dfrac{\sqrt[.4]{4} - (\sqrt{4})\%}{(\sqrt{4})\%}$ Steve Wilson, 11/09 Raytown, MO |
1600 (2.2) $4 \times 4 \times \dfrac{4}{4\%}$ Dave Jones, 7/07 Coventry, England |
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201-1600), Page 5 (1601-2000), Page 6 (2001-2400), Page 7 (2401-2800), Page 8 (2801-3200), Page 9 (3201-3600), Page 10 (3601-4000), Page 11 (4001+).