The first four prime numbers are 2, 3, 5, and 7. Create each of the positive integers using one copy of each number, and any standard operations. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.
Use the online submissions page to get your Integermania solutions posted here! 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+).
1201 (3.6) $\dfrac{3! + (7-2) ‰}{5 ‰}$ Steve Wilson, 9/09 Raytown, MO |
1202 (3.2) $(3 + 7) \times 5! + 2$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
1203 (3.6) $\sqrt{ \dfrac{72}{5\% ‰}} + 3$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
1205 (3.0) $\dfrac{.\overline{3}}{2.\overline{7}\%\%} + 5$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
1206 (3.8) $\sqrt{ \dfrac{72}{5\% ‰}} + 3!$ Steve Wilson, 9/09 Raytown, MO |
1207 (2.4) $2 \times \dfrac{3}{.5\%} + 7$ Steve Wilson, 9/08 Raytown, MO |
1208 (3.2) $\sqrt[.2]{3} \times 5 - 7$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
1209 (3.4) $\dfrac{3!}{5 ‰} + 7 + 2$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
1210 (3.4) $\dfrac{5^3}{2\%} - 7!$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
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1211 (3.6) $\dfrac{3! + 2\%}{5 ‰} + 7$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
1214 (2.4) $2 \times \left( \dfrac{3}{.5\%} + 7 \right)$ Dave Jones, 10/08 Coventry, England |
1215 (3.0) $3^{7-2} \times 5$ Jackson Jennings, 3/15 Shawnee, KS |
1218 (3.0) $35^2 - 7$ Joseph Mavungu, 5/03 Olathe, KS |
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1221 (2.4) $3 \times \left( \dfrac{2}{.5\%} + 7 \right)$ Dave Jones, 10/08 Coventry, England |
1225 (2.2) $35 \times \dfrac{7}{.2}$ Dave Jones, 5/06 Coventry, England |
1228 (2.6) $\dfrac{7}{.\overline{5}\%} - 32$ Steve Wilson, 9/08 Raytown, MO |
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1232 (3.0) $35^2 + 7$ Tim Murphy, 5/03 Olathe, KS |
1237 (2.6) $\dfrac{7}{.\overline{5}\%} - 23$ Steve Wilson, 9/08 Raytown, MO |
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1243 (2.6) $\dfrac{3 - .5}{.2\%} - 7$ Steve Wilson, 9/08 Raytown, MO |
1245 (2.8) $\dfrac{7}{.\overline{5}\%} - \dfrac{3}{.2}$ Steve Wilson, 9/08 Raytown, MO |
1248 (2.6) $\dfrac{5}{(.7 - .3)\%} - 2$ Steve Wilson, 9/08 Raytown, MO |
1249 (3.2) $37^2 - 5!$ Steve Wilson, 11/06 Raytown, MO |
1250 (2.2) $\dfrac{75}{2 \times 3\%}$ Dave Jones, 5/06 Coventry, England |
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1252 (2.6) $\dfrac{5}{(.7 - .3)\%} + 2$ Steve Wilson, 9/08 Raytown, MO |
1254 (2.6) $\dfrac{7}{.\overline{5}\%} - 3 \times 2$ Steve Wilson, 9/08 Raytown, MO |
1255 (2.6) $\dfrac{7}{.\overline{5}\%} - 3 - 2$ Steve Wilson, 9/08 Raytown, MO |
1257 (2.6) $\dfrac{3 - .5}{.2\%} + 7$ Steve Wilson, 9/08 Raytown, MO |
1259 (2.6) $\dfrac{7}{.\overline{5}\%} - 3 + 2$ Steve Wilson, 9/08 Raytown, MO |
1260 (2.6) $\dfrac{3.5}{.2\overline{7}\%}$ Steve Wilson, 8/08 Raytown, MO |
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1261 (2.6) $\dfrac{7}{.\overline{5}\%} - 2 + 3$ Steve Wilson, 9/08 Raytown, MO |
1265 (2.6) $\dfrac{7}{.\overline{5}\%} + 3 + 2$ Steve Wilson, 9/08 Raytown, MO |
1266 (2.6) $\dfrac{7}{.\overline{5}\%} + 3 \times 2$ Steve Wilson, 9/08 Raytown, MO |
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1275 (2.8) $\dfrac{7}{.\overline{5}\%} + \dfrac{3}{.2}$ Steve Wilson, 9/08 Raytown, MO |
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1283 (2.6) $\dfrac{7}{.\overline{5}\%} + 23$ Steve Wilson, 9/08 Raytown, MO |
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1292 (2.6) $\dfrac{7}{.\overline{5}\%} + 32$ Steve Wilson, 9/08 Raytown, MO |
1300 (2.2) $\dfrac{3 \times 7 + 5}{2\%}$ Dave Jones, 5/06 Coventry, England |
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1311 (2.0) $23 \times 57$ Joseph Mavungu, 3/03 Olathe, KS |
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1364 (3.0) $37^2 - 5$ Steve Wilson, 11/06 Raytown, MO |
1365 (2.0) $273 \times 5$ Dave Jones, 5/06 Coventry, England |
1368 (2.4) $\dfrac{7}{.5\%} - 32$ Steve Wilson, 9/08 Raytown, MO |
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1374 (3.0) $37^2 + 5$ Steve Wilson, 11/06 Raytown, MO |
1377 (2.4) $\dfrac{7}{.5\%} - 23$ Steve Wilson, 9/08 Raytown, MO |
1380 (2.2) $\dfrac{72 - 3}{5\%}$ Dave Jones, 5/06 Coventry, England |
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1385 (2.6) $\dfrac{7}{.5\%} - \dfrac{3}{.2}$ Steve Wilson, 9/08 Raytown, MO |
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1394 (2.4) $\dfrac{7}{.5\%} - 2 \times 3$ Steve Wilson, 9/08 Raytown, MO |
1395 (2.4) $\dfrac{7}{.5\%} - 2 - 3$ Steve Wilson, 9/08 Raytown, MO |
1399 (2.4) $\dfrac{7}{.5\%} - 3 + 2$ Steve Wilson, 9/08 Raytown, MO |
1400 (2.2) $\dfrac{35-7}{2\%}$ Dave Jones, 5/06 Coventry, England |
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1401 (2.4) $\dfrac{7}{.5\%} + 3 - 2$ Steve Wilson, 9/08 Raytown, MO |
1405 (2.4) $\dfrac{7}{.5\%} + 3 + 2$ Steve Wilson, 9/08 Raytown, MO |
1406 (2.4) $\dfrac{7}{.5\%} + 3 \times 2$ Steve Wilson, 9/08 Raytown, MO |
1410 (2.8) $\dfrac{7}{.\overline{5}\%} + \dfrac{3}{2\%}$ Steve Wilson, 9/08 Raytown, MO |
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1415 (2.6) $\dfrac{7}{.5\%} + \dfrac{3}{.2}$ Steve Wilson, 9/08 Raytown, MO |
1420 (2.2) $\dfrac{73-2}{5\%}$ Dave Jones, 6/06 Coventry, England |
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1423 (2.4) $\dfrac{7}{.5\%} + 23$ Steve Wilson, 9/08 Raytown, MO |
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1431 (2.0) $27 \times 53$ Dave Jones, 6/06 Coventry, England |
1432 (2.4) $\dfrac{7}{.5\%} + 32$ Steve Wilson, 9/08 Raytown, MO |
1433 (3.4) $5! \times 3! \times 2 - 7$ Gabriel Morel, 5/13 Bronx, NY |
1437 (2.2) $\dfrac{72}{5\%} - 3$ Dave Jones, 6/06 Coventry, England |
1440 (2.6) $\dfrac{7 + 3 - 2}{.\overline{5}\%}$ Steve Wilson, 9/08 Raytown, MO |
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1443 (2.2) $\dfrac{72}{5\%} + 3$ Dave Jones, 6/06 Coventry, England |
1446 (2.2) $\dfrac{723}{.5}$ Dave Jones, 6/06 Coventry, England |
1447 (3.4) $5! \times 3! \times 2 + 7$ Gabriel Morel, 5/13 Bronx, NY |
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1458 (2.2) $\dfrac{73}{5\%} - 2$ Dave Jones, 6/06 Coventry, England |
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1462 (2.2) $\dfrac{73}{5\%} + 2$ Dave Jones, 6/06 Coventry, England |
1464 (2.2) $\dfrac{732}{.5}$ Dave Jones, 6/06 Coventry, England |
1470 (2.0) $2 \times 735$ Gunnar Gnad, 12/04 Luxembourg, Luxembourg |
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1480 (2.2) $37 \times \dfrac{2}{5\%}$ Dave Jones, 6/06 Coventry, England |
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1482 (2.6) $\dfrac{3 - 5\%}{.2\%} + 7$ Dave Jones, 3/07 Coventry, England |
1489 (3.2) $37^2 + 5!$ Steve Wilson, 11/06 Raytown, MO |
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1495 (2.6) $\dfrac{7-2}{.\overline{3}\%} - 5$ Steve Wilson, 9/08 Raytown, MO |
1500 (2.2) $(7 + 2) \times \dfrac{5}{3\%}$ Dave Jones, 6/06 Coventry, England |
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1505 (2.6) $\dfrac{7-2}{.\overline{3}\%} + 5$ Steve Wilson, 9/08 Raytown, MO |
1506 (2.0) $753 \times 2$ Tim Murphy, 5/03 Olathe, KS |
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1512 (3.2) $\dfrac{3 \times 7!}{2 \times 5}$ Gunnar Gnad, 12/04 Luxembourg, Luxembourg |
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1550 (2.6) $\dfrac{7}{.5\%} + \dfrac{3}{2\%}$ Steve Wilson, 9/08 Raytown, MO |
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1560 (3.4) $5! \times 7 + (3 \times 2)!$ Harman Tiwana, 10/12 Lenexa, KS |
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1575 (3.0) $(3 \times 5)^2 \times 7$ David Caton, 10/04 Shawnee, KS |
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1581 (2.0) $527 \times 3$ Josh Brown, 7/04 Lawrence, KS |
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1599 (5.0) ${}_{57} C_2 + 3$ Lucas Rodriguez, 12/04 Lenexa, KS |
1600 (2.2) $\dfrac{5 \times 7 - 3}{2\%}$ Dave Jones, 7/06 Coventry, England |
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201-1600), Page 5 (1601+).