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There are 5281 feet in a mile and a foot. Create each of the positive integers using one copy of each of the digits 5, 2, 8, and 1, and any standard operations. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.
Computer analysis shows that if a set contains 4 digits, then the largest possible level 1 exquisiteness is achieved by the digits in the number 5281. Therefore, the name "Mile and a Foot" seems very appropriate, because this set will produce a very long sequence of level 1 solutions. This result suggested some additional questions.
Paolo Pellegrini has reported that the set {2, 3, 4, 22} produces an exquisiteness just one more than the exquisiteness of "Mile and a Foot". This result answers both questions above, but the questions can be rephrased for this new set. Does the set {2, 3, 4, 22} give the largest possible exquisiteness?
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.
PREVIOUS Page, Page 4 (1201+), ... Index to All Pages.
| 1201 (2.4) $\dfrac{8 - 2}{.5\%} + 1$ Steve Wilson, 10/13 Lawrence, KS |
1202 (2.6) $\dfrac{8 - 2 + 1\%}{.5\%}$ Steve Wilson, 4/26 Lawrence, KS |
1204 (3.6) $\dfrac{(5 - 1)! + 8\%}{2\%}$ Steve Wilson, 5/26 Lawrence, KS |
1205 (2.6) $\dfrac{2 - .8}{.1\%} + 5$ Steve Wilson, 10/13 Lawrence, KS |
1208 (3.4) $\dfrac{(5 - 1)!}{2\%} + 8$ Steve Wilson, 5/26 Lawrence, KS |
1210 (2.6) $\dfrac{1}{8\%\%} - \dfrac{2}{5\%}$ Steve Wilson, 4/26 Lawrence, KS |
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| 1216 (2.0) $152 \times 8$ Sean Collins, 1/10 Overland Park, KS |
1218 (2.0) $58 \times 21$ Ambra Robinson, 5/11 Lawrence, KS |
1220 (2.4) $\dfrac{8.1 - 2}{.5\%}$ Steve Wilson, 4/26 Lawrence, KS |
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| 1224 (2.6) $\dfrac{8 - 1.2}{.\overline{5}\%}$ Steve Wilson, 4/26 Lawrence, KS |
1225 (2.4) $\dfrac{1}{8\%\%} - 25$ Steve Wilson, 4/26 Lawrence, KS |
1230 (2.0) $15 \times 82$ Steve Wilson, 4/26 Lawrence, KS |
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| 1240 (2.4) $\dfrac{1}{8\%\%} - 5 \times 2$ Steve Wilson, 4/26 Lawrence, KS |
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| 1243 (2.4) $\dfrac{1}{8\%\%} - 5 - 2$ Steve Wilson, 4/26 Lawrence, KS |
1245 (2.4) $\dfrac{2 - 1}{8\%\%} - 5$ Steve Wilson, 4/26 Lawrence, KS |
1246 (2.6) $\dfrac{1}{8\%\%} - \dfrac{2}{.5}$ Steve Wilson, 4/26 Lawrence, KS |
1247 (2.4) $\dfrac{1}{8\%\%} - 5 + 2$ Steve Wilson, 4/26 Lawrence, KS |
1248 (2.4) $2 \times \left(\dfrac{5}{.8\%} - 1\right)$ Steve Wilson, 4/26 Lawrence, KS |
1249 (2.4) $\dfrac{2 \times 5}{.8\%} - 1$ Steve Wilson, 4/26 Lawrence, KS |
1250 (2.4) $\dfrac{5 \times 2 \times 1}{.8\%}$ Steve Wilson, 4/26 Lawrence, KS |
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| 1251 (2.4) $\dfrac{2 \times 5}{.8\%} + 1$ Steve Wilson, 4/26 Lawrence, KS |
1252 (2.4) $2 \times \left(\dfrac{5}{.8\%} + 1\right)$ Steve Wilson, 4/26 Lawrence, KS |
1253 (2.4) $\dfrac{1}{8\%\%} + 5 - 2$ Steve Wilson, 4/26 Lawrence, KS |
1254 (2.6) $\dfrac{1}{8\%\%} + \dfrac{2}{.5}$ Steve Wilson, 4/26 Lawrence, KS |
1255 (2.4) $\dfrac{2 - 1}{8\%\%} + 5$ Steve Wilson, 4/26 Lawrence, KS |
1257 (2.4) $\dfrac{1}{8\%\%} + 5 + 2$ Steve Wilson, 4/26 Lawrence, KS |
1258 (2.0) $1258$ Steve Wilson, 4/26 Lawrence, KS |
1260 (2.4) $\dfrac{1}{8\%\%} + 5 \times 2$ Steve Wilson, 4/26 Lawrence, KS |
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| 1262 (2.6) $\dfrac{8 - 1}{.\overline{5}\%} + 2$ Steve Wilson, 4/26 Lawrence, KS |
1270 (2.6) $\dfrac{1 + 2\%}{8\%\%} - 5$ Steve Wilson, 4/26 Lawrence, KS |
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| 1275 (2.2) $\dfrac{51 \times 2}{8\%}$ Steve Wilson, 4/26 Lawrence, KS |
1278 (2.8) $\dfrac{2 - .58}{.\overline{1}\%}$ Steve Wilson, 4/26 Lawrence, KS |
1279 (3.0) $2^8 \times 5 - 1$ Steve Wilson, 5/26 Lawrence, KS |
1280 (3.0) $2^8 \times 5 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 1281 (3.0) $2^8 \times 5 + 1$ Steve Wilson, 5/26 Lawrence, KS |
1282 (3.4) $\dfrac{1}{8\%\%} + 2^5$ Steve Wilson, 6/26 Lawrence, KS |
1285 (2.0) $1285$ Steve Wilson, 4/26 Lawrence, KS |
1290 (2.6) $\dfrac{1}{8\%\%} + \dfrac{2}{5\%}$ Steve Wilson, 4/26 Lawrence, KS |
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| 1291 (3.4) $\sqrt{(2 + 1)!^8} - 5$ Steve Wilson, 5/26 Lawrence, KS |
1294 (3.2) $\sqrt{(5 + 1)^8} - 2$ Steve Wilson, 5/26 Lawrence, KS |
1296 (2.6) $\dfrac{8.2 - 1}{.\overline{5}\%}$ Steve Wilson, 5/26 Lawrence, KS |
1298 (2.2) $\dfrac{8 + 5}{1\%} - 2$ Steve Wilson, 5/26 Lawrence, KS |
1300 (2.2) $\dfrac{8 + 5}{(2 - 1)\%}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1301 (3.4) $\sqrt{(2 + 1)!^8} + 5$ Steve Wilson, 5/26 Lawrence, KS |
1302 (2.2) $\dfrac{8 + 5}{1\%} + 2$ Steve Wilson, 5/26 Lawrence, KS |
1305 (2.6) $\dfrac{8 - 5.1}{.\overline{2}\%}$ Steve Wilson, 5/26 Lawrence, KS |
1310 (2.8) $\dfrac{1 + (5 - .2)\%}{8\%\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1312 (2.6) $\dfrac{2}{.\overline{15}\%} - 8$ Steve Wilson, 5/26 Lawrence, KS |
1315 (2.6) $\dfrac{1 + 5.2\%}{8\%\%}$ Steve Wilson, 6/26 Lawrence, KS |
1320 (2.2) $\dfrac{8 + 5.2}{1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1328 (2.6) $\dfrac{2}{.\overline{15}\%} + 8$ Steve Wilson, 5/26 Lawrence, KS |
1330 (2.8) $\dfrac{8 - 2\%}{(.5 + .1)\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1339 (3.6) $\dfrac{8!\pmf}{(2 + 1)\%} - 5$ Steve Wilson, 6/26 Lawrence, KS |
1340 (4.8) $\dfrac{8 - 5}{.\overline{2}\%} - \antilog 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 1342 (2.8) $\dfrac{2 - .5}{.\overline{1}\%} - 8$ Steve Wilson, 5/26 Lawrence, KS |
1344 (3.2) $12 \times (5! - 8)$ Steve Wilson, 6/26 Lawrence, KS |
1345 (2.6) $\dfrac{12}{.\overline{8}\%} - 5$ Steve Wilson, 5/26 Lawrence, KS |
1349 (2.6) $\dfrac{8 - 5}{.\overline{2}\%} - 1$ Steve Wilson, 5/26 Lawrence, KS |
1350 (2.6) $\dfrac{2 \times (5 + 1)}{.\overline{8}\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1351 (2.6) $\dfrac{8 - 5}{.\overline{2}\%} + 1$ Steve Wilson, 5/26 Lawrence, KS |
1355 (2.6) $\dfrac{12}{.\overline{8}\%} + 5$ Steve Wilson, 5/26 Lawrence, KS |
1358 (2.8) $\dfrac{2 - .5}{.\overline{1}\%} + 8$ Steve Wilson, 5/26 Lawrence, KS |
1360 (2.4) $\dfrac{8-1.2}{.5\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1368 (3.6) $\dfrac{1}{8\%\%} + 5! - 2$ Steve Wilson, 6/26 Lawrence, KS |
1370 (3.6) $\dfrac{1^2}{8\%\%} + 5!$ Steve Wilson, 5/26 Lawrence, KS |
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| 1372 (3.6) $\dfrac{1}{8\%\%} + 5! + 2$ Steve Wilson, 6/26 Lawrence, KS |
1375 (2.4) $\dfrac{5 \times 2 + 1}{.8\%}$ Steve Wilson, 5/26 Lawrence, KS |
1380 (3.4) $\dfrac{12}{8\pmf} - 5!$ Steve Wilson, 6/26 Lawrence, KS |
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| 1390 (2.8) $\dfrac{8}{.\overline{5}\%} - \dfrac{1}{2\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1395 (2.6) $\dfrac{8.1 - 5}{.\overline{2}\%}$ Steve Wilson, 5/26 Lawrence, KS |
1396 (2.6) $\dfrac{8 - 1 - 2\%}{.5\%}$ Steve Wilson, 5/26 Lawrence, KS |
1398 (2.4) $\dfrac{8 - 1}{.5\%} - 2$ Steve Wilson, 5/26 Lawrence, KS |
1399 (3.0) $\dfrac{8 - .\overline{2}}{.\overline{5}\%} - 1$ Steve Wilson, 5/26 Lawrence, KS |
1400 (2.2) $\dfrac{2.8 \times 5}{1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1401 (3.0) $\dfrac{8 - .\overline{2}}{.\overline{5}\%} + 1$ Steve Wilson, 5/26 Lawrence, KS |
1402 (2.4) $\dfrac{8 - 1}{.5\%} + 2$ Steve Wilson, 5/26 Lawrence, KS |
1403 (2.8) $\dfrac{8 - .2}{.\overline{5}\%} - 1$ Steve Wilson, 5/26 Lawrence, KS |
1404 (2.6) $\dfrac{8 - 1 + 2\%}{.5\%}$ Steve Wilson, 5/26 Lawrence, KS |
1405 (2.0) $281 \times 5$ Steve Wilson, 5/26 Lawrence, KS |
1410 (4.6) $\dfrac{8 - 1}{5\pmf} + \sqrt{\antilog 2}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1416 (3.6) $\sqrt{(2 + 1)!^8} + 5!$ Steve Wilson, 5/26 Lawrence, KS |
1418 (3.0) $\dfrac{8 - .\overline{1}}{.\overline{5}\%} - 2$ Steve Wilson, 5/26 Lawrence, KS |
1419 (2.6) $\dfrac{8}{.\overline{5}\%} - 21$ Steve Wilson, 5/26 Lawrence, KS |
1420 (2.6) $\dfrac{2 - .58}{.1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1422 (2.6) $\dfrac{\dfrac{8}{5\%} - 2}{.\overline{1}}$ Steve Wilson, 5/26 Lawrence, KS |
1424 (2.6) $8 \times \left(\dfrac{1}{.\overline{5}\%} - 2\right)$ Steve Wilson, 5/26 Lawrence, KS |
1428 (2.0) $28 \times 51$ Steve Wilson, 5/26 Lawrence, KS |
1430 (2.8) $2 \times \left(\dfrac{.8}{.\overline{1}\%} - 5\right)$ Steve Wilson, 5/26 Lawrence, KS |
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| 1431 (2.8) $\dfrac{8 - \dfrac{.1}{2}}{.\overline{5}\%}$ Steve Wilson, 5/26 Lawrence, KS |
1432 (3.2) $\dfrac{.1 - 2\%}{.\overline{5}\%\%} - 8$ Steve Wilson, 5/26 Lawrence, KS |
1434 (3.8) $\dfrac{8}{.\overline{5}\%} - (2 + 1)!$ Steve Wilson, 5/26 Lawrence, KS |
1435 (2.8) $\dfrac{8 \times .2}{.\overline{1}\%} - 5$ Steve Wilson, 5/26 Lawrence, KS |
1436 (2.6) $\left(\dfrac{2}{.\overline{1}\%} - 5\right) \times .8$ Steve Wilson, 5/26 Lawrence, KS |
1437 (2.6) $\dfrac{8}{.\overline{5}\%} - 2 - 1$ Steve Wilson, 5/26 Lawrence, KS |
1438 (2.6) $\dfrac{8}{.\overline{5}\%} - 2 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1439 (2.6) $\dfrac{8}{.\overline{5}\%} - 2 + 1$ Steve Wilson, 5/26 Lawrence, KS |
1440 (2.4) $\dfrac{8.2 - 1}{.5\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1441 (2.6) $\dfrac{8}{.\overline{5}\%} + 2 - 1$ Steve Wilson, 5/26 Lawrence, KS |
1442 (2.6) $\dfrac{8}{.\overline{5}\%} + 2 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1443 (2.6) $\dfrac{8}{.\overline{5}\%} + 2 + 1$ Steve Wilson, 5/26 Lawrence, KS |
1444 (2.8) $\dfrac{\dfrac{8}{.\overline{1}} + .2}{5\%}$ Steve Wilson, 5/26 Lawrence, KS |
1445 (2.8) $\dfrac{8}{.\overline{5}\%} + \dfrac{1}{.2}$ Steve Wilson, 5/26 Lawrence, KS |
1446 (3.8) $\dfrac{8}{.\overline{5}\%} + (2 + 1)!$ Steve Wilson, 5/26 Lawrence, KS |
1448 (3.2) $\dfrac{.1 - 2\%}{.\overline{5}\%\%} + 8$ Steve Wilson, 5/26 Lawrence, KS |
1449 (2.8) $\dfrac{8 + \dfrac{.1}{2}}{.\overline{5}\%}$ Steve Wilson, 5/26 Lawrence, KS |
1450 (2.4) $\dfrac{8 - 5.1}{.2\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1452 (2.6) $\dfrac{8}{.\overline{5}\%} + 12$ Steve Wilson, 5/26 Lawrence, KS |
1456 (2.6) $8 \times \left(\dfrac{1}{.\overline{5}\%} + 2\right)$ Steve Wilson, 5/26 Lawrence, KS |
1458 (2.6) $\dfrac{\dfrac{8}{5\%} + 2}{.\overline{1}}$ Steve Wilson, 5/26 Lawrence, KS |
1460 (2.6) $\dfrac{8.1}{.\overline{5}\%} + 2$ Steve Wilson, 5/26 Lawrence, KS |
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| 1461 (2.6) $\dfrac{8}{.\overline{5}\%} + 21$ Steve Wilson, 5/26 Lawrence, KS |
1462 (2.8) $\dfrac{8.\overline{1}}{.\overline{5}\%} + 2$ Steve Wilson, 5/26 Lawrence, KS |
1466 (4.8) $\dfrac{8.2}{.\overline{5}\%} - \antilog 1$ Steve Wilson, 5/26 Lawrence, KS |
1470 (4.0) $\sqrt{\dfrac{\sqrt{(5 + 2)^8}}{.\overline{1}\%}}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1474 (3.4) $\dfrac{5! - 2}{8\%} - 1$ Steve Wilson, 5/26 Lawrence, KS |
1475 (2.6) $\dfrac{8.2}{.\overline{5}\%} - 1$ Steve Wilson, 5/26 Lawrence, KS |
1476 (2.6) $\dfrac{8.2}{.\overline{5}\%} \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1477 (2.6) $\dfrac{8.2}{.\overline{5}\%} + 1$ Steve Wilson, 5/26 Lawrence, KS |
1478 (2.8) $\dfrac{8.2\overline{1}}{.\overline{5}\%}$ Steve Wilson, 5/26 Lawrence, KS |
1479 (2.8) $\dfrac{8.\overline{2}}{.\overline{5}\%} - 1$ Steve Wilson, 5/26 Lawrence, KS |
1480 (2.6) $\dfrac{\dfrac{8}{.\overline{1}} + 2}{5\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1481 (2.8) $\dfrac{8.\overline{2}}{.\overline{5}\%} + 1$ Steve Wilson, 5/26 Lawrence, KS |
1485 (3.4) $\dfrac{5! - 1.2}{8\%}$ Steve Wilson, 5/26 Lawrence, KS |
1488 (3.4) $\dfrac{5!}{8\%} - 12$ Steve Wilson, 5/26 Lawrence, KS |
1490 (2.8) $\dfrac{8}{.\overline{5}\%} + \dfrac{1}{2\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1492 (2.6) $\dfrac{2 - .5}{.1\%} - 8$ Steve Wilson, 5/26 Lawrence, KS |
1494 (2.8) $\dfrac{8.2 + .1}{.\overline{5}\%}$ Steve Wilson, 5/26 Lawrence, KS |
1495 (2.4) $\dfrac{1.2}{8\%\%} - 5$ Steve Wilson, 5/26 Lawrence, KS |
1497 (3.4) $\dfrac{5!}{8\%} - 2 - 1$ Steve Wilson, 5/26 Lawrence, KS |
1498 (3.4) $\dfrac{5!}{8\%} - 2 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1499 (2.4) $\dfrac{8 - 5}{.2\%} - 1$ Steve Wilson, 5/26 Lawrence, KS |
1500 (2.2) $\dfrac{8 + 5 + 2}{1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1501 (2.4) $\dfrac{8 - 5}{.2\%} + 1$ Steve Wilson, 5/26 Lawrence, KS |
1502 (3.4) $\dfrac{5!}{8\%} + 2 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1503 (3.4) $\dfrac{5!}{8\%} + 2 + 1$ Steve Wilson, 5/26 Lawrence, KS |
1505 (2.4) $\dfrac{1.2}{8\%\%} + 5$ Steve Wilson, 5/26 Lawrence, KS |
1506 (3.6) $\dfrac{5!}{8\%} + (2 + 1)!$ Steve Wilson, 5/26 Lawrence, KS |
1508 (2.6) $\dfrac{2 - .5}{.1\%} + 8$ Steve Wilson, 5/26 Lawrence, KS |
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| 1512 (2.8) $\dfrac{21}{(.\overline{8} + .5)\%}$ Steve Wilson, 5/26 Lawrence, KS |
1515 (3.4) $\dfrac{5! + 1.2}{8\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1521 (3.4) $\dfrac{5!}{8\%} + 21$ Steve Wilson, 5/26 Lawrence, KS |
1524 (3.4) $\dfrac{5! + 2}{8\%} - 1$ Steve Wilson, 5/26 Lawrence, KS |
1525 (3.4) $\dfrac{5! + 2}{8\%} \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1526 (3.4) $\dfrac{5! + 2}{8\%} + 1$ Steve Wilson, 5/26 Lawrence, KS |
1528 (2.0) $1528$ Steve Wilson, 5/26 Lawrence, KS |
1530 (2.4) $\dfrac{85 \times 2}{.\overline{1}}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1536 (3.0) $2^8 \times (5 + 1)$ Steve Wilson, 5/26 Lawrence, KS |
1540 (2.8) $\dfrac{.8 - (2 + 1)\%}{5\%\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1550 (2.4) $\dfrac{8 \times 2 - .5}{1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1558 (2.6) $\dfrac{8 - .21}{.5\%}$ Steve Wilson, 5/26 Lawrence, KS |
1559 (2.6) $\dfrac{8 - .2}{.5\%} - 1$ Steve Wilson, 5/26 Lawrence, KS |
1560 (2.2) $8 \times \left(\dfrac{2}{1\%} - 5\right)$ Steve Wilson, 5/26 Lawrence, KS |
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| 1561 (2.6) $\dfrac{8 - .2}{.5\%} + 1$ Steve Wilson, 5/26 Lawrence, KS |
1562 (2.8) $\dfrac{8 - .2 + 1\%}{.5\%}$ Steve Wilson, 5/26 Lawrence, KS |
1568 (2.6) $\dfrac{8 \times (1 - 2\%)}{.5\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1575 (2.8) $\dfrac{(8 - 1) \times .5}{.\overline{2}\%}$ Steve Wilson, 5/26 Lawrence, KS |
1576 (2.6) $\dfrac{8 - .12}{.5\%}$ Steve Wilson, 5/26 Lawrence, KS |
1578 (2.6) $\dfrac{8 - .1}{.5\%} - 2$ Steve Wilson, 5/26 Lawrence, KS |
1579 (2.4) $\dfrac{8}{.5\%} - 21$ Steve Wilson, 5/26 Lawrence, KS |
1580 (2.2) $\dfrac{81 - 2}{5\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1582 (2.0) $1582$ Steve Wilson, 5/26 Lawrence, KS |
1584 (2.4) $8 \times \left(\dfrac{1}{.5\%} - 2\right)$ Steve Wilson, 5/26 Lawrence, KS |
1588 (2.4) $\dfrac{8}{.5\%} - 12$ Steve Wilson, 5/26 Lawrence, KS |
1590 (2.2) $2 \times \left(\dfrac{8}{1\%} - 5\right)$ Steve Wilson, 5/26 Lawrence, KS |
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| 1592 (2.6) $\dfrac{1 - .2}{5\%\%} - 8$ Steve Wilson, 5/26 Lawrence, KS |
1594 (2.6) $\dfrac{8 - (2 + 1)\%}{.5\%}$ Steve Wilson, 5/26 Lawrence, KS |
1595 (2.2) $\dfrac{8 \times 2}{1\%} - 5$ Steve Wilson, 5/26 Lawrence, KS |
1596 (2.4) $8 \times \left(\dfrac{2}{1\%} - .5\right)$ Steve Wilson, 5/26 Lawrence, KS |
1597 (2.4) $\dfrac{8}{.5\%} - 2 - 1$ Steve Wilson, 5/26 Lawrence, KS |
1598 (2.4) $\dfrac{8}{.5\%} - 2 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1599 (2.4) $\dfrac{8}{.5\%} - 2 + 1$ Steve Wilson, 5/26 Lawrence, KS |
1600 (2.2) $\dfrac{8 \times (5 - 1)}{2\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1601 (2.4) $\dfrac{8}{.5\%} + 2 - 1$ Steve Wilson, 5/26 Lawrence, KS |
1602 (2.4) $\dfrac{8}{.5\%} + 2 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1603 (2.4) $\dfrac{8}{.5\%} + 2 + 1$ Steve Wilson, 5/26 Lawrence, KS |
1604 (2.4) $8 \times \left(\dfrac{2}{1\%} + .5\right)$ Steve Wilson, 5/26 Lawrence, KS |
1605 (2.2) $\dfrac{8 \times 2}{1\%} + 5$ Steve Wilson, 6/26 Lawrence, KS |
1606 (2.6) $\dfrac{8 + (2 + 1)\%}{.5\%}$ Steve Wilson, 6/26 Lawrence, KS |
1608 (2.6) $\dfrac{1 - .2}{5\%\%} + 8$ Steve Wilson, 6/26 Lawrence, KS |
1610 (2.2) $2 \times \left(\dfrac{8}{1\%} + 5\right)$ Steve Wilson, 5/26 Lawrence, KS |
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| 1612 (2.4) $\dfrac{8}{.5\%} + 12$ Steve Wilson, 6/26 Lawrence, KS |
1616 (2.4) $8 \times \left(\dfrac{1}{.5\%} + 2\right)$ Steve Wilson, 6/26 Lawrence, KS |
1618 (2.4) $\dfrac{81}{5\%} - 2$ Steve Wilson, 6/26 Lawrence, KS |
1620 (2.4) $\dfrac{82 - 1}{5\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1621 (2.4) $\dfrac{8}{.5\%} + 21$ Steve Wilson, 6/26 Lawrence, KS |
1622 (2.4) $\dfrac{81}{5\%} + 2$ Steve Wilson, 6/26 Lawrence, KS |
1624 (2.2) $\dfrac{812}{.5}$ Steve Wilson, 6/26 Lawrence, KS |
1625 (2.4) $\dfrac{15 - 2}{.8\%}$ Steve Wilson, 6/26 Lawrence, KS |
1630 (2.0) $815 \times 2$ Ambra Robinson, 5/11 Lawrence, KS |
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| 1632 (2.6) $(1 + 2\%) \times \dfrac{8}{.5\%}$ Steve Wilson, 6/26 Lawrence, KS |
1638 (2.4) $\dfrac{82 - .1}{5\%}$ Steve Wilson, 6/26 Lawrence, KS |
1639 (2.2) $\dfrac{82}{5\%} - 1$ Yi Zheng, 5/16 Olathe, KS |
1640 (2.2) $\dfrac{82}{5\%} \times 1$ Yi Zheng, 5/16 Olathe, KS |
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| 1641 (2.2) $\dfrac{82}{5\%} + 1$ Yi Zheng, 5/16 Olathe, KS |
1642 (2.2) $\dfrac{821}{.5}$ Steve Wilson, 6/26 Lawrence, KS |
1650 (2.4) $\dfrac{8 \times 2 + .5}{1\%}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1656 (2.6) $\dfrac{8 + 1.2}{.\overline{5}\%}$ Steve Wilson, 6/26 Lawrence, KS |
1660 (2.2) $\dfrac{82 + 1}{5\%}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1665 (2.8) $\dfrac{15 - .2}{.\overline{8}\%}$ Steve Wilson, 6/26 Lawrence, KS |
1670 (3.8) $\dfrac{1 - 2\pmf}{(8 - 5)!\%\%}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1675 (2.8) $\dfrac{1 + .5\%}{(8 - 2)\%\%}$ Steve Wilson, 6/26 Lawrence, KS |
1680 (2.6) $\dfrac{1 - 8 \times 2\%}{5\%\%}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1683 (2.8) $\dfrac{2 - (8 + 5)\%}{.\overline{1}\%}$ Steve Wilson, 6/26 Lawrence, KS |
1690 (3.2) $\dfrac{(8 + 5)^2}{.1}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1700 (2.2) $\dfrac{85 \times 2}{.1}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1702 (2.0) $851 \times 2$ Michele Gaston, 10/10 Olathe, KS |
1710 (2.6) $\dfrac{15.2}{.\overline{8}\%}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1715 (2.6) $\dfrac{2}{.\overline{1}\%} - 85$ Steve Wilson, 6/26 Lawrence, KS |
1720 (2.0) $215 \times 8$ Sean Collins, 2/10 Overland Park, KS |
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| 1723 (2.8) $\dfrac{2 - 8\%}{.\overline{1}\%} - 5$ Steve Wilson, 6/26 Lawrence, KS |
1728 (2.6) $\dfrac{8 \times 1.2}{.\overline{5}\%}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1733 (2.8) $\dfrac{2 - 8\%}{.\overline{1}\%} + 5$ Steve Wilson, 6/26 Lawrence, KS |
1740 (3.0) $\dfrac{5.8}{(.\overline{2} + .\overline{1})\%}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1742 (2.6) $\dfrac{2}{.\overline{1}\%} - 58$ Steve Wilson, 6/26 Lawrence, KS |
1747 (2.8) $\dfrac{2 - 5\%}{.\overline{1}\%} - 8$ Steve Wilson, 6/26 Lawrence, KS |
1750 (2.2) $(8 - 1) \times \dfrac{5}{2\%}$ Edward Gonzales, 10/10 Lawrence, KS |
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| 1755 (2.8) $\dfrac{2 - 5\%}{(1 - .\overline{8})\%}$ Steve Wilson, 6/26 Lawrence, KS |
1760 (2.6) $\dfrac{8 + 1 - .2}{.5\%}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1763 (2.8) $\dfrac{2 - 5\%}{.\overline{1}\%} + 8$ Steve Wilson, 6/26 Lawrence, KS |
1764 (2.8) $\dfrac{5 - 1 - 8\%}{.\overline{2}\%}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1773 (2.8) $\dfrac{2 - (8 - 5)\%}{.\overline{1}\%}$ Steve Wilson, 6/26 Lawrence, KS |
1776 (2.8) $\left(\dfrac{1}{5\%\%} - 2\right) \times .\overline{8}$ Steve Wilson, 6/26 Lawrence, KS |
1778 (2.8) $\left(\dfrac{8}{5\%\%} + 2\right) \times .\overline{1}$ Steve Wilson, 6/26 Lawrence, KS |
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| 1782 (2.8) $\dfrac{8 + 2 - .1}{.\overline{5}\%}$ Steve Wilson, 6/26 Lawrence, KS |
1784 (2.8) $\dfrac{2}{.\overline{1}\%} - \dfrac{8}{.5}$ Steve Wilson, 6/26 Lawrence, KS |
1785 (2.0) $85 \times 21$ Sean Collins, 3/10 Overland Park, KS |
1787 (2.6) $\dfrac{2}{.\overline{1}\%} - 8 - 5$ Steve Wilson, 6/26 Lawrence, KS |
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| 1792 (2.6) $\dfrac{5 - 1}{.\overline{2}\%} - 8$ Steve Wilson, 6/26 Lawrence, KS |
1795 (2.6) $\dfrac{2}{(1 - .\overline{8})\%} - 5$ Steve Wilson, 6/26 Lawrence, KS |
1796 (2.6) $\dfrac{8 + 1 - 2\%}{.5\%}$ Steve Wilson, 6/26 Lawrence, KS |
1797 (2.6) $\dfrac{2}{.\overline{1}\%} - 8 + 5$ Steve Wilson, 6/26 Lawrence, KS |
1798 (2.4) $\dfrac{8 + 1}{.5\%} - 2$ Steve Wilson, 6/26 Lawrence, KS |
1799 (2.6) $\dfrac{8 + 2}{.\overline{5}\%} - 1$ Steve Wilson, 6/26 Lawrence, KS |
1800 (2.2) $\dfrac{5 \times 2 + 8}{1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1919 (3.2) $5! \times 8 \times 2 - 1$ Leif Muhammad, 3/14 Kansas City, MO |
1920 (2.2) $\dfrac{12 \times 8}{5\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1921 (3.2) $5! \times 8 \times 2 + 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 2000 (2.2) $8 \times 1 \times \dfrac{5}{2\%}$ Edward Gonzales, 10/10 Lawrence, KS |
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| 2008 (2.0) $251 \times 8$ Sean Collins, 2/10 Overland Park, KS |
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| 2025 (2.0) $81 \times 25$ Michele Gaston, 10/10 Olathe, KS |
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| 2593 (3.0) $51^2 - 8$ Ambra Robinson, 2/11 Lawrence, KS |
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| 2609 (2.6) $\dfrac{5.8}{.\overline{2}\%} - 1$ Steve Wilson, 5/26 Lawrence, KS |
2610 (2.6) $\dfrac{5.8}{.\overline{2}\%} \times 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 2611 (2.6) $\dfrac{5.8}{.\overline{2}\%} + 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 2899 (2.2) $\dfrac{58}{2\%} - 1$ Yi Zheng, 5/16 Olathe, KS |
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| 2901 (2.2) $\dfrac{58}{2\%} + 1$ Yi Zheng, 5/16 Olathe, KS |
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| 3044 (3.4) $(.2)^{-5} - 81$ Jonathan Frank, 5/26 Piscataway, NJ |
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| 3107 (3.4) $(.2)^{-5} - 18$ Jonathan Frank, 5/26 Piscataway, NJ |
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| 3116 (3.4) $(.2)^{-5} - 8 - 1$ Jonathan Frank, 5/26 Piscataway, NJ |
3117 (3.4) $(.2)^{-5} - 8 \times 1$ Jonathan Frank, 5/26 Piscataway, NJ |
3118 (3.4) $(.2)^{-5} - 8 + 1$ Jonathan Frank, 5/26 Piscataway, NJ |
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| 3132 (3.4) $(.2)^{-5} + 8 - 1$ Jonathan Frank, 5/26 Piscataway, NJ |
3133 (3.4) $(.2)^{-5} + 8 \times 1$ Jonathan Frank, 5/26 Piscataway, NJ |
3134 (3.4) $(.2)^{-5} + 8 + 1$ Jonathan Frank, 5/26 Piscataway, NJ |
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| 3143 (3.4) $(.2)^{-5} + 18$ Jonathan Frank, 5/26 Piscataway, NJ |
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| 3206 (3.4) $(.2)^{-5} + 81$ Jonathan Frank, 5/26 Piscataway, NJ |
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| 3264 (3.0) $8^2 \times 51$ Edward Gonzales, 12/10 Lawrence, KS |
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| 3363 (3.0) $58^2 - 1$ John Tader, 9/11 Olathe, KS |
3370 (3.4) $\dfrac{8! + 5!}{12}$ Sean Collins, 3/10 Overland Park, KS |
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| 4000 (3.4) $(.1)^{-2} \times 8 \times 5$ Jonathan Frank, 5/26 Piscataway, NJ |
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| 4060 (2.0) $812 \times 5$ Edward Gonzales, 9/10 Lawrence, KS |
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| 4096 (2.0) $512 \times 8$ Steve Wilson, 5/26 Lawrence, KS |
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| 4105 (2.0) $821 \times 5$ Edward Gonzales, 9/10 Lawrence, KS |
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| 4168 (2.0) $521 \times 8$ Sean Collins, 3/10 Overland Park, KS |
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| 4182 (2.0) $82 \times 51$ Michele Gaston, 10/10 Olathe, KS |
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| 5800 (3.4) $(.1)^{-2} \times 58$ Jonathan Frank, 5/26 Piscataway, NJ |
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| 7224 (3.0) $85^2 - 1$ Jonathan Frank, 4/26 Piscataway, NJ |
7225 (3.0) $85^2 \times 1$ Edward Gonzales, 12/10 Lawrence, KS |
7226 (3.0) $85^2 + 1$ Michele Gaston, 10/10 Olathe, KS |
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| 7776 (3.0) $(8 - 2)^{5 \times 1}$ Jonathan Frank, 4/26 Piscataway, NJ |
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| 8000 (2.2) $8 \times 5 \times \dfrac{2}{1\%}$ Edward Gonzales, 10/10 Lawrence, KS |
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| 8192 (3.0) $8^{5-1} \times 2$ John Tader, 9/11 Olathe, KS |
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| 8500 (3.4) $(.1)^{-2} \times 85$ Jonathan Frank, 5/26 Piscataway, NJ |
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| 9600 (3.2) $\dfrac{8!}{21} \times 5$ Sean Collins, 2/10 Overland Park, KS |
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| 11600 (2.2) $58 \times \dfrac{2}{1\%}$ Seth Musser, 11/10 Overland Park, KS |
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| 12500 (2.4) $\dfrac{2}{8\%} \times \dfrac{5}{1\%}$ Edward Gonzales, 10/10 Lawrence, KS |
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| 16384 (3.0) $2^{8 + 5 + 1}$ Jonathan Frank, 4/26 Piscataway, NJ |
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| 20808 (3.0) $51^2 \times 8$ Edward Gonzales, 11/10 Lawrence, KS |
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| 24964 (3.0) $158^2$ Joseph Geraci, 11/11 Leawood, KS |
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| 31104 (3.0) $\dfrac{12^5}{8}$ Ambra Robinson, 5/11 Lawrence, KS |
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| 32768 (3.2) $2^{5!/8 \times 1}$ Jonathan Frank, 4/26 Piscataway, NJ |
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| 46656 (3.0) $(8 - 2)^{5 + 1}$ Jonathan Frank, 4/26 Piscataway, NJ |
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| 59047 (3.2) $\sqrt{81^5} - 2$ Chelsea Kiddle, 10/12 Leawood, KS |
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| 59051 (3.2) $\sqrt{81^5} + 2$ Chelsea Kiddle, 10/12 Leawood, KS |
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| 65536 (3.2) $2^{5!/8 + 1}$ Jonathan Frank, 4/26 Piscataway, NJ |
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| 100000 (3.0) $(8 + 2 \times 1)^5$ Mary Tuggle, 9/09 Kansas City, MO |
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| 100001 (3.0) $(2 + 8)^5 + 1$ Stephen Inglin, 9/09 DeSoto, KS |
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| 160000 (3.2) $\dfrac{ (5\times 8)^2}{1\%}$ Seth Musser, 11/10 Overland Park, KS |
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| 161051 (3.0) $(8 + 2 + 1)^5$ Mary Tuggle, 9/09 Kansas City, MO |
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| 248824 (3.0) $12^5 - 8$ Ambra Robinson, 2/11 Lawrence, KS |
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| 248840 (3.0) $12^5 + 8$ Ambra Robinson, 2/11 Lawrence, KS |
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| 262144 (3.0) $8^{5 + 2 - 1}$ Jonathan Frank, 4/26 Piscataway, NJ |
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| 295245 (3.4) $\dfrac{ \sqrt{81^5}}{.2}$ Seth Musser, 11/10 Overland Park, KS |
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| 390624 (3.2) $\sqrt{25^8} - 1$ Chelsea Kiddle, 10/12 Leawood, KS |
390626 (3.2) $\sqrt{25^8} + 1$ Chelsea Kiddle, 10/12 Leawood, KS |
390627 (3.0) $5^8 + 2 \times 1$ Joseph Geraci, 11/11 Leawood, KS |
390628 (3.0) $5^8 + 2 + 1$ Joseph Geraci, 11/11 Leawood, KS |
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| 393216 (3.0) $8^5 \times 12$ Edward Gonzales, 11/10 Lawrence, KS |
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| 604802 (3.2) $15 \times 8! + 2$ Obada Albadawi, 5/16 Overland Park, KS |
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| 688128 (3.0) $8^5 \times 21$ Edward Gonzales, 11/10 Lawrence, KS |
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| 781250 (3.0) $5^8 \times 2 \times 1$ Joseph Geraci, 11/11 Leawood, KS |
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| 781251 (3.0) $5^8 \times 2 + 1$ Joseph Geraci, 11/11 Leawood, KS |
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| 800000 (2.6) $\dfrac{8}{1\% \times 2\% \times 5\%}$ Edward Gonzales, 10/10 Lawrence, KS |
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| 944784 (3.0) $\dfrac{18^5}{2}$ Ambra Robinson, 5/11 Lawrence, KS |
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| 1889566 (3.0) $18^5 - 2$ Ambra Robinson, 5/11 Lawrence, KS |
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| 2097152 (3.0) $8^{2 + 5 \times 1}$ Jonathan Frank, 4/26 Piscataway, NJ |
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| 3779136 (3.0) $18^5 \times 2$ Edward Gonzales, 12/10 Lawrence, KS |
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| 8203125 (3.0) $5^8 \times 21$ Edward Gonzales, 11/10 Lawrence, KS |
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| 16777216 (3.0) $(5 + 2 + 1)^8$ Stephen Inglin, 9/09 DeSoto, KS |
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| 17210369 (3.0) $28^5 + 1$ Tyler Cox, 9/09 Olathe, KS |
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| 20643840 (3.2) $512 \times 8!$ Obada Albadawi, 5/16 Overland Park, KS |
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| 214990848 (3.2) $12^8 \times .5$ Chelsea Kiddle, 10/12 Leawood, KS |
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| 479001515 (3.2) $12! - 85$ Obada Albadawi, 5/16 Overland Park, KS |
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| 479001685 (3.2) $12! + 85$ Obada Albadawi, 5/16 Overland Park, KS |
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| 2149908480 (3.0) $12^8 \times 5$ Edward Gonzales, 11/10 Lawrence, KS |
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| 3707398432 (3.0) $82^5 \times 1$ Edward Gonzales, 12/10 Lawrence, KS |
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| 34359738368 (3.0) $128^5$ Jessie Shore, 1/11 Lawrence, KS |
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| googol (3.6) $.1 ^{-\sqrt[.5]{2+8}}$ Ralph Jeffords, 10/09 Centreville, VA |
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| googolplex (3.8) $(2+8) ^{ \sqrt[-5\%]{1\% ‰}}$ Ralph Jeffords, 10/09 Centreville, VA |
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