Lawrence, Kansas, was settled in the year 1854. The original group of settlers, sponsored by the New England Emigrant Aid Company, are said to have eaten their first meal there on August 1 (which in shorthand would be 8/1/54). Using one copy each of the digits 1, 4, 5, and 8, and any standard operations, create each of the positive integers. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.

Use the **online submissions page** to get your Integermania solutions posted here! Five "new" or "improved" solutions per person per month are accepted.

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1 (1.0)$\dfrac{1 + 8}{5 + 4}$ Steve Wilson, 9/20 Lawrence, KS |
2 (1.0)$\dfrac{8 + 4}{5 + 1}$ Steve Wilson, 12/20 Lawrence, KS |
6 (1.0)$4 + 8 - (5 + 1)$ Elizabeth Rozzi, 12/20 Lawrence, KS |
7 (1.0)$8 \times 1 - 5 + 4$ Elizabeth Rozzi, 12/20 Lawrence, KS |
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13 (1.0)$4 \times 5 - 8 + 1$ Elizabeth Rozzi, 12/20 Lawrence, KS |
17 (1.0)$8 \times 1 + 5 + 4$ Elizabeth Rozzi, 12/20 Lawrence, KS |
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31 (1.0)$4 \times (8 + 1) - 5$ Elizabeth Rozzi, 12/20 Lawrence, KS |

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