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Integermaniac master Ralph Jeffords was born in 1948. Using one copy each of the digits 1, 4, 8, and 9, 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! 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 (2.6) $\dfrac{8 + 4}{1\%} + .\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
1203 (3.4) $\dfrac{8 + 4}{1\%} + \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
1206 (3.6) $\dfrac{8 + 4}{1\%} + (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
1208 (3.6) $\dfrac{(\sqrt{9})!}{(4 + 1)\pmf} + 8$ Steve Wilson, 5/26 Lawrence, KS |
1209 (2.2) $\dfrac{8 + 4}{1\%} + 9$ Steve Wilson, 5/26 Lawrence, KS |
1210 (2.6) $\dfrac{8 + 4.1}{.\overline{9}\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1246 (2.0) $89 \times 14$ Miles Gill, 6/12 Lawrence, KS |
1250 (3.0) $\dfrac{(9 + 1)^4}{8}$ Katie Roberts, 7/12 Washington, DC |
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| 1330 (4.6) $14 \times \log((\antilog 98)\pm)$ Steve Wilson, 5/26 Lawrence, KS |
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| 1332 (2.0) $148 \times 9$ Nathan Fields, 3/12 Overland Park, KS |
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| 1344 (4.6) $14 \times \log((\antilog 98)\%)$ Steve Wilson, 5/26 Lawrence, KS |
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| 1372 (2.0) $98 \times 14$ Andrew Haar, 6/12 Silver Lake, KS |
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| 1489 (2.0) $1489$ Haoyuan Wu, 7/12 Lawrence, KS |
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| 1498 (2.0) $1498$ Haoyuan Wu, 7/12 Lawrence, KS |
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| 1512 (3.2) $4! \times 9 \times (8 - 1)$ Steve Wilson, 5/26 Lawrence, KS |
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| 1536 (3.2) $4! \times 8 \times (9 - 1)$ Steve Wilson, 5/26 Lawrence, KS |
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| 1552 (2.0) $194 \times 8$ Nathan Fields, 5/12 Overland Park, KS |
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| 1575 (2.2) $(8 - 1) \times \dfrac{9}{4\%}$ Steve Wilson, 5/22 Lawrence, KS |
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| 1589 (3.4) $\dfrac{8!}{4!} - 91$ Steve Wilson, 5/26 Lawrence, KS |
1590 (3.6) $\dfrac{8!}{4!} - \dfrac{9}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1596 (2.0) $19 \times 84$ Dominic Clemente, 7/12 Lawrence, KS |
1600 (2.2) $\dfrac{8}{4\%} \times (9 - 1)$ Yi Zheng, 3/16 Olathe, KS |
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| 1650 (3.8) $\dfrac{8!}{4!} - \dfrac{\sqrt{9}}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1656 (2.0) $184 \times 9$ Archit Patel, 4/12 Shawnee, KS |
1660 (3.4) $\dfrac{9 + 8 - .4}{1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1661 (3.4) $\dfrac{8!}{4!} - 19$ Steve Wilson, 5/26 Lawrence, KS |
1670 (3.4) $\dfrac{8!}{4!} - 9 - 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 1671 (3.4) $\dfrac{8!}{4!} - 9 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1672 (3.4) $\dfrac{8!}{4!} - 9 + 1$ Steve Wilson, 5/26 Lawrence, KS |
1673 (3.8) $\dfrac{8!}{4!} - (\sqrt{9})! - 1$ Steve Wilson, 5/26 Lawrence, KS |
1674 (3.8) $\dfrac{8!}{4!} - (\sqrt{9})! \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1675 (3.8) $\dfrac{8!}{4!} - (\sqrt{9})! + 1$ Steve Wilson, 5/26 Lawrence, KS |
1676 (3.4) $\dfrac{9 + 8}{1\%} - 4!$ Steve Wilson, 5/26 Lawrence, KS |
1677 (3.6) $\dfrac{8!}{4!} - \sqrt{9} \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1678 (3.6) $\dfrac{8!}{4!} - \sqrt{9} + 1$ Steve Wilson, 5/26 Lawrence, KS |
1679 (3.4) $\dfrac{8!}{4!} - 1^9$ Steve Wilson, 5/26 Lawrence, KS |
1680 (3.4) $\dfrac{8!}{4!} \times 1^9$ Steve Wilson, 5/26 Lawrence, KS |
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| 1681 (3.4) $\dfrac{8!}{4!} + 1^9$ Steve Wilson, 5/26 Lawrence, KS |
1682 (3.6) $\dfrac{8!}{4!} + \sqrt{9} - 1$ Steve Wilson, 5/26 Lawrence, KS |
1683 (3.6) $\dfrac{8!}{4!} + \sqrt{9} \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1684 (3.6) $\dfrac{8!}{4!} + \sqrt{9} + 1$ Steve Wilson, 5/26 Lawrence, KS |
1685 (3.8) $\dfrac{8!}{4!} + (\sqrt{9})! - 1$ Steve Wilson, 5/26 Lawrence, KS |
1686 (3.8) $\dfrac{8!}{4!} + (\sqrt{9})! \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1687 (3.8) $\dfrac{8!}{4!} + (\sqrt{9})! + 1$ Steve Wilson, 5/26 Lawrence, KS |
1688 (3.4) $\dfrac{8!}{4!} + 9 - 1$ Steve Wilson, 5/26 Lawrence, KS |
1689 (3.4) $\dfrac{8!}{4!} + 9 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
1690 (3.4) $\dfrac{8!}{4!} + 9 + 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 1696 (3.2) $\dfrac{9 + 8}{1\%} - 4$ Steve Wilson, 5/26 Lawrence, KS |
1698 (3.4) $\dfrac{9 + 8}{1\%} - \sqrt{4}$ Steve Wilson, 5/26 Lawrence, KS |
1699 (3.4) $\dfrac{8!}{4!} + 19$ Steve Wilson, 5/26 Lawrence, KS |
1700 (3.2) $\dfrac{9 + 8}{1^4\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1702 (3.4) $\dfrac{9 + 8}{1\%} + \sqrt{4}$ Steve Wilson, 5/26 Lawrence, KS |
1704 (3.2) $4! \times (9 \times 8 - 1)$ Steve Wilson, 5/26 Lawrence, KS |
1710 (3.8) $\dfrac{8!}{4!} + \dfrac{\sqrt{9}}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1719 (3.2) $(4! \times 8 - 1) \times 9$ Steve Wilson, 5/26 Lawrence, KS |
1720 (3.2) $(4! \times 9 - 1) \times 8$ Steve Wilson, 5/26 Lawrence, KS |
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| 1724 (3.4) $\dfrac{9 + 8}{1\%} + 4!$ Steve Wilson, 5/26 Lawrence, KS |
1727 (3.2) $4! \times 8 \times 9 - 1$ Long Zhang, 7/12 Lawrence, KS |
1728 (3.2) $4! \times 8 \times 9 \times 1$ Steve Wilson, 5/22 Lawrence, KS |
1729 (3.2) $4! \times 8 \times 9 + 1$ Long Zhang, 7/12 Lawrence, KS |
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| 1736 (3.2) $(4! \times 9 + 1) \times 8$ Steve Wilson, 5/26 Lawrence, KS |
1737 (3.2) $(4! \times 8 + 1) \times 9$ Steve Wilson, 5/26 Lawrence, KS |
1740 (3.2) $\dfrac{9 + 8.4}{1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1752 (3.2) $4! \times (9 \times 8 + 1)$ Steve Wilson, 5/26 Lawrence, KS |
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| 1770 (3.6) $\dfrac{8!}{4!} + \dfrac{9}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1771 (3.4) $\dfrac{8!}{4!} + 91$ Steve Wilson, 5/26 Lawrence, KS |
1775 (2.2) $\dfrac{9 \times 8 - 1}{4\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1783 (3.8) $8! \times .\overline{4} \times .1 - 9$ Steve Wilson, 5/26 Lawrence, KS |
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| 1792 (3.4) $\dfrac{8!}{9} \times 4 \times .1$ Shannon O'Neill, 7/12 Lawrence, KS |
1799 (2.2) $\dfrac{9 \times 8}{4\%} - 1$ Yi Zheng, 1/16 Olathe, KS |
1800 (2.2) $\dfrac{9 \times 8}{4 \times 1\%}$ Luke Sauvadon, 7/12 Lawrence, KS |
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| 1801 (2.2) $\dfrac{9 \times 8}{4\%} + 1$ Yi Zheng, 1/16 Olathe, KS |
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| 1825 (2.2) $\dfrac{9 \times 8 + 1}{4\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 1849 (2.0) $1849$ Haoyuan Wu, 7/12 Lawrence, KS |
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| 1894 (2.0) $1894$ Haoyuan Wu, 7/12 Lawrence, KS |
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| 1920 (3.2) $4! \times 8 \times (9 + 1)$ Steve Wilson, 5/26 Lawrence, KS |
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| 1944 (3.2) $4! \times 9 \times (8 + 1)$ Steve Wilson, 5/26 Lawrence, KS |
1948 (2.0) $1948$ Steve Wilson, 5/26 Lawrence, KS |
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| 1984 (2.0) $1984$ Haoyuan Wu, 7/12 Lawrence, KS |
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| 2000 (2.2) $\dfrac{8 \times (9 + 1)}{4\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 2007 (3.4) $8! \times (4 + 1)\% - 9$ Wei Zhang, 7/12 Lawrence, KS |
2010 (3.8) $8! \times (4 + 1)\% - (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
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| 2013 (3.6) $8! \times (4 + 1)\% - \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
2015 (3.6) $8! \times 4.\overline{9}\% - 1$ Steve Wilson, 5/26 Lawrence, KS |
2016 (3.4) $8! \times (4 + 1^9)\%$ Steve Wilson, 5/26 Lawrence, KS |
2017 (3.6) $8! \times 4.\overline{9}\% + 1$ Steve Wilson, 5/26 Lawrence, KS |
2019 (3.6) $8! \times (4 + 1)\% + \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
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| 2022 (3.8) $8! \times (4 + 1)\% + (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
2025 (2.2) $\dfrac{9 \times (8 + 1)}{4\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 2500 (2.4) $\dfrac{9 - 1}{4\% \times 8\%}$ Yi Zheng, 3/16 Olathe, KS |
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| 2916 (2.0) $81 \times 9 \times 4$ Allison Layne-Mulhern, 12/13 Leawood, KS |
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| 2952 (2.0) $41 \times 9 \times 8$ Allison Layne-Mulhern, 12/13 Leawood, KS |
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| 3116 (2.6) $\dfrac{1}{.4\% \times 8\%} - 9$ Steve Wilson, 5/26 Lawrence, KS |
3119 (3.8) $\dfrac{1}{4\% \times 8\pmf} - (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
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| 3122 (3.6) $\dfrac{1}{4\% \times 8\pmf} - \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
3125 (2.4) $\dfrac{9 + 1}{4\% \times 8\%}$ Steve Wilson, 5/26 Lawrence, KS |
3128 (3.6) $\dfrac{1}{4\% \times 8\pmf} + \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
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| 3131 (3.8) $\dfrac{1}{4\% \times 8\pmf} + (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
3134 (2.6) $\dfrac{1}{.4\% \times 8\%} + 9$ Steve Wilson, 5/26 Lawrence, KS |
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| 3276 (2.0) $819 \times 4$ Andrew Haar, 6/12 Silver Lake, KS |
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| 3564 (2.0) $891 \times 4$ Blake Goldstein, 7/14 Leawood, KS |
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| 3649 (2.0) $89 \times 41$ Miles Gill, 6/12 Lawrence, KS |
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| 3672 (2.0) $918 \times 4$ Blake Goldstein, 7/14 Leawood, KS |
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| 3762 (2.0) $418 \times 9$ Ben Kerkhoff, 6/12 Lawrence, KS |
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| 3884 (5.0) ${}_{19} C_4 + 8$ Shannon O'Neill, 7/12 Lawrence, KS |
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| 3902 (2.6) $\dfrac{4 - 9\%}{.1\%} - 8$ Steve Wilson, 5/26 Lawrence, KS |
3910 (2.6) $\dfrac{8 - 4 - 9\%}{.1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 3911 (2.6) $\dfrac{4 - 8\%}{.1\%} - 9$ Steve Wilson, 5/26 Lawrence, KS |
3914 (3.8) $\dfrac{4 - 8\%}{1\pmf} - (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
3917 (3.6) $\dfrac{4 - 8\%}{1\pmf} - \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
3918 (2.6) $\dfrac{4 - 9\%}{.1\%} + 8$ Steve Wilson, 5/26 Lawrence, KS |
3919 (3.0) $\dfrac{4 - 8\%}{.1\%} - .\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
3920 (2.2) $98 \times \dfrac{4}{.1}$ Dietrich Kruse, 12/12 Olathe, KS |
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| 3921 (3.0) $\dfrac{4 - 8\%}{.1\%} + .\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
3923 (3.6) $\dfrac{4 - 8\%}{1\pmf} + \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
3924 (2.0) $981 \times 4$ Nathan Fields, 4/12 Overland Park, KS |
3926 (3.8) $\dfrac{4 - 8\%}{1\pmf} + (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
3928 (2.0) $491 \times 8$ Ben Kerkhoff, 7/12 Lawrence, KS |
3929 (2.6) $\dfrac{4 - 8\%}{.1\%} + 9$ Steve Wilson, 5/26 Lawrence, KS |
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| 3932 (3.8) $\dfrac{4 - (\sqrt{9})!\%}{1\pmf} - 8$ Steve Wilson, 5/26 Lawrence, KS |
3940 (3.8) $\dfrac{4 - (\sqrt{9})!\%}{1^8\pmf}$ Steve Wilson, 5/26 Lawrence, KS |
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| 3948 (3.8) $\dfrac{4 - (\sqrt{9})!\%}{1\pmf} + 8$ Steve Wilson, 5/26 Lawrence, KS |
3950 (3.6) $\dfrac{4 - (8 - \sqrt{9})\%}{1\pmf}$ Steve Wilson, 5/26 Lawrence, KS |
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| 3962 (3.6) $\dfrac{4 - (\sqrt{9})\%}{1\pmf} - 8$ Steve Wilson, 5/26 Lawrence, KS |
3969 (2.0) $81 \times 49$ Blake Goldstein, 7/14 Leawood, KS |
3970 (3.6) $\dfrac{4 - (\sqrt{9})\%}{1^8\pmf}$ Steve Wilson, 5/26 Lawrence, KS |
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| 3978 (3.6) $\dfrac{4 - (\sqrt{9})\%}{1\pmf} + 8$ Steve Wilson, 5/26 Lawrence, KS |
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| 3981 (3.4) $\dfrac{8}{(\sqrt{4})\pmf} - 19$ Steve Wilson, 5/26 Lawrence, KS |
3982 (3.6) $\dfrac{4}{.\overline{9}\pmf} - 18$ Steve Wilson, 5/26 Lawrence, KS |
3983 (2.4) $\dfrac{4}{.1\%} - 9 - 8$ Steve Wilson, 5/26 Lawrence, KS |
3986 (3.6) $\dfrac{4}{1\pmf} - 8 - (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
3989 (3.4) $\dfrac{4}{1\pmf} - 8 - \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
3990 (3.0) $\dfrac{8 - 4 - .\overline{9}\%}{.1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 3991 (2.6) $\dfrac{4}{.1\%} - 8.\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
3992 (2.8) $\dfrac{4}{.1\%} - 8 \times .\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
3993 (2.8) $\dfrac{4}{.1\%} - 8 + .\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
3994 (3.6) $\dfrac{4}{1^8\pmf} - (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
3995 (3.4) $\dfrac{4}{1\pmf} - 8 + \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
3997 (3.4) $\dfrac{4}{1^8\pmf} - \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
3998 (3.6) $\dfrac{4}{1\pmf} - 8 + (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
3999 (2.4) $\dfrac{4}{.1\%} - 9 + 8$ Steve Wilson, 5/26 Lawrence, KS |
4000 (2.4) $\dfrac{4}{.1\%} \times (9 - 8)$ Steve Wilson, 5/26 Lawrence, KS |
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| 4001 (2.4) $\dfrac{4}{.1\%} + 9 - 8$ Steve Wilson, 5/26 Lawrence, KS |
4002 (3.6) $\dfrac{4}{1\pmf} + 8 - (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
4003 (3.4) $\dfrac{4}{1^8\pmf} + \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
4005 (3.0) $8^4 - 91$ Andrew Haar, 6/12 Silver Lake, KS |
4006 (3.2) $8^4 - \dfrac{9}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
4007 (2.8) $\dfrac{4}{.1\%} + 8 - .\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
4008 (2.8) $\dfrac{4}{.1\%} + 8 \times .\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
4009 (2.6) $\dfrac{4}{.1\%} + 8.\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
4010 (3.0) $\dfrac{8 - 4 + .\overline{9}\%}{.1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 4011 (3.4) $\dfrac{4}{1\pmf} + 8 + \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
4014 (3.6) $\dfrac{4}{1\pmf} + 8 + (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
4017 (2.6) $\dfrac{4}{.1\%} + 9 + 8$ Steve Wilson, 5/26 Lawrence, KS |
4018 (2.0) $41 \times 98$ Miles Gill, 6/12 Lawrence, KS |
4019 (3.4) $\dfrac{8}{(\sqrt{4})\pmf} + 19$ Steve Wilson, 5/26 Lawrence, KS |
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| 4022 (3.6) $\dfrac{4 + (\sqrt{9})\%}{1\pmf} - 8$ Steve Wilson, 5/26 Lawrence, KS |
4030 (3.6) $\dfrac{4 + (\sqrt{9})\%}{1^8\pmf}$ Steve Wilson, 5/26 Lawrence, KS |
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| 4036 (3.6) $8^4 - \dfrac{(\sqrt{9})!}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
4038 (3.6) $\dfrac{4 + (\sqrt{9})\%}{1\pmf} + 8$ Steve Wilson, 5/26 Lawrence, KS |
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| 4050 (3.6) $\dfrac{4 + (8 - \sqrt{9})\%}{1\pmf}$ Steve Wilson, 5/26 Lawrence, KS |
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| 4052 (3.8) $\dfrac{4 + (\sqrt{9})!\%}{1\pmf} - 8$ Steve Wilson, 5/26 Lawrence, KS |
4060 (3.8) $\dfrac{4 + (\sqrt{9})!\%}{1^8\pmf}$ Steve Wilson, 5/26 Lawrence, KS |
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| 4066 (3.4) $8^4 - \dfrac{\sqrt{9}}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
4068 (3.8) $\dfrac{4 + (\sqrt{9})!\%}{1\pmf} + 8$ Steve Wilson, 5/26 Lawrence, KS |
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| 4071 (2.6) $\dfrac{4 + 8\%}{.1\%} - 9$ Steve Wilson, 5/26 Lawrence, KS |
4074 (3.8) $\dfrac{4 + 8\%}{1\pmf} - (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
4077 (3.0) $8^4 - 19$ Steve Wilson, 5/26 Lawrence, KS |
4079 (3.0) $\dfrac{4 + 8\%}{.1\%} - .\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
4080 (2.8) $\dfrac{\dfrac{4}{.\overline{9}\%} + 8}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
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| 4081 (3.0) $\dfrac{4 + 8\%}{.1\%} + .\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
4082 (2.6) $\dfrac{4 + 9\%}{.1\%} - 8$ Steve Wilson, 5/26 Lawrence, KS |
4083 (3.6) $\dfrac{4 + 8\%}{1\pmf} + \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
4086 (3.0) $8^4 - 9 - 1$ Harman Tiwana, 11/12 Lenexa, KS |
4087 (3.0) $8^4 - 9 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
4088 (3.0) $8^4 - 9 + 1$ Steve Wilson, 5/26 Lawrence, KS |
4089 (2.4) $\dfrac{4}{.1\%} + 89$ Steve Wilson, 5/26 Lawrence, KS |
4090 (2.6) $\dfrac{8 - 4 + 9\%}{.1\%}$ Steve Wilson, 5/26 Lawrence, KS |
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| 4091 (3.4) $8^4 - (\sqrt{9})! + 1$ Steve Wilson, 5/26 Lawrence, KS |
4092 (3.2) $8^4 - \sqrt{9} - 1$ Steve Wilson, 5/26 Lawrence, KS |
4093 (3.2) $8^4 - \sqrt{9} \times 1$ Steve Wilson, 5/26 Lawrence, KS |
4094 (3.2) $8^4 - \sqrt{9} + 1$ Steve Wilson, 5/26 Lawrence, KS |
4095 (3.0) $8^4 - 1^9$ Steve Wilson, 5/26 Lawrence, KS |
4096 (3.0) $8^4 \times 1^9$ Steve Wilson, 5/26 Lawrence, KS |
4097 (3.0) $8^4 + 1^9$ Steve Wilson, 5/26 Lawrence, KS |
4098 (2.4) $\dfrac{4}{.1\%} + 98$ Steve Wilson, 5/26 Lawrence, KS |
4099 (3.2) $8^4 + \sqrt{9} \times 1$ Steve Wilson, 5/26 Lawrence, KS |
4100 (3.2) $8^4 + \sqrt{9} + 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 4101 (3.4) $8^4 + (\sqrt{9})! - 1$ Steve Wilson, 5/26 Lawrence, KS |
4102 (3.4) $8^4 + (\sqrt{9})! \times 1$ Steve Wilson, 5/26 Lawrence, KS |
4103 (3.4) $8^4 + (\sqrt{9})! + 1$ Steve Wilson, 5/26 Lawrence, KS |
4104 (3.0) $8^4 + 9 - 1$ Hee Do Yoon, 4/12 Overland Park, KS |
4105 (3.0) $8^4 \times 1 + 9$ Ryan McNeese, 6/12 Lawrence, KS |
4106 (3.0) $8^4 + 9 + 1$ Hee Do Yoon, 4/12 Overland Park, KS |
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| 4115 (3.0) $8^4 + 19$ Yue Li, 6/12 Lawrence, KS |
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| 4126 (3.4) $8^4 + \dfrac{\sqrt{9}}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
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| 4156 (3.6) $8^4 + \dfrac{(\sqrt{9})!}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
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| 4186 (3.2) $8^4 + \dfrac{9}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
4187 (3.0) $8^4 + 91$ Yue Li, 6/12 Lawrence, KS |
4189 (2.0) $4189$ Steve Wilson, 5/26 Lawrence, KS |
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| 4198 (2.0) $4198$ Steve Wilson, 5/26 Lawrence, KS |
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| 4329 (2.0) $481 \times 9$ Nathan Fields, 4/12 Overland Park, KS |
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| 4368 (2.0) $91 \times 48$ Blake Goldstein, 7/14 Leawood, KS |
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| 4536 (3.2) $189 \times 4!$ Dominic Clemente, 7/12 Lawrence, KS |
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| 4752 (3.2) $198 \times 4!$ Dominic Clemente, 7/12 Lawrence, KS |
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| 4819 (2.0) $4819$ Steve Wilson, 5/26 Lawrence, KS |
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| 4891 (2.0) $4891$ Steve Wilson, 5/26 Lawrence, KS |
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| 4918 (2.0) $4918$ Steve Wilson, 5/26 Lawrence, KS |
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| 4981 (2.0) $4981$ Steve Wilson, 5/26 Lawrence, KS |
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| 6370 (5.0) ${}_8 C_4 \times 91$ Cooper Krause, 7/12 Lawrence, KS |
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| 6480 (3.0) $9^4 - 81$ Ben Kerkhoff, 6/12 Lawrence, KS |
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| 6481 (3.0) $9^4 - \dfrac{8}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
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| 6543 (3.0) $9^4 - 18$ Cooper Krause, 7/12 Lawrence, KS |
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| 6552 (3.0) $9^4 - 8 - 1$ Steve Wilson, 5/26 Lawrence, KS |
6553 (3.0) $9^4 - 8 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
6554 (3.0) $9^4 - 8 + 1$ Ryan McNeese, 6/12 Lawrence, KS |
6555 (3.4) $9^4 - (\sqrt{8 + 1})!$ Steve Wilson, 5/26 Lawrence, KS |
6558 (3.2) $9^4 - \sqrt{8 + 1}$ Steve Wilson, 5/26 Lawrence, KS |
6560 (3.0) $9^{8-4} - 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 6561 (3.0) $(9 \times 1)^{8 - 4}$ Javion Grant, 7/14 Kansas City, KS |
6562 (3.0) $9^{8-4} + 1$ Steve Wilson, 5/26 Lawrence, KS |
6564 (3.2) $9^4 + \sqrt{8 + 1}$ Steve Wilson, 5/26 Lawrence, KS |
6567 (3.4) $9^4 + (\sqrt{8 + 1})!$ Steve Wilson, 5/26 Lawrence, KS |
6568 (3.0) $9^4 + 8 - 1$ Javion Grant, 7/14 Kansas City, KS |
6569 (3.0) $9^4 \times 1 + 8$ Chris Harris, 6/12 Overland Park, KS |
6570 (3.0) $9^4 + 8 + 1$ Ryan McNeese, 6/12 Lawrence, KS |
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| 6579 (3.0) $9^4 + 18$ Ben Kerkhoff, 6/12 Lawrence, KS |
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| 6641 (3.0) $9^4 + \dfrac{8}{.1}$ Steve Wilson, 5/26 Lawrence, KS |
6642 (3.0) $9^4 + 81$ Chris Harris, 6/12 Overland Park, KS |
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| 7312 (2.0) $914 \times 8$ Deborah Kangas, 4/14 Lenexa, KS |
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| 7528 (2.0) $941 \times 8$ Xinpei Zhao, 7/12 Lawrence, KS |
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| 7560 (2.2) $84 \times \dfrac{9}{.1}$ Dietrich Kruse, 12/12 Olathe, KS |
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| 7569 (2.0) $841 \times 9$ Alyssa Trembly, 2/14 Spring Hill, KS |
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| 7614 (2.0) $94 \times 81$ Andrew Haar, 6/12 Silver Lake, KS |
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| 7644 (2.0) $84 \times 91$ Miles Gill, 6/12 Lawrence, KS |
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| 8149 (2.0) $8149$ Steve Wilson, 5/26 Lawrence, KS |
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| 8194 (2.0) $8194$ Steve Wilson, 5/26 Lawrence, KS |
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| 8419 (2.0) $8419$ Steve Wilson, 5/26 Lawrence, KS |
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| 8491 (2.0) $8491$ Steve Wilson, 5/26 Lawrence, KS |
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| 8914 (2.0) $8914$ Steve Wilson, 5/26 Lawrence, KS |
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| 8941 (2.0) $8941$ Steve Wilson, 5/26 Lawrence, KS |
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| 9148 (2.0) $9148$ Steve Wilson, 5/26 Lawrence, KS |
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| 9184 (2.0) $9184$ Steve Wilson, 5/26 Lawrence, KS |
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| 9418 (2.0) $9418$ Steve Wilson, 5/26 Lawrence, KS |
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| 9481 (2.0) $9481$ Steve Wilson, 5/26 Lawrence, KS |
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| 9814 (2.0) $9814$ Steve Wilson, 5/26 Lawrence, KS |
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| 9841 (2.0) $9841$ Steve Wilson, 5/26 Lawrence, KS |
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| 11339 (3.2) $\dfrac{9!}{8 \times 4} - 1$ Shannon O'Neill, 7/12 Lawrence, KS |
11340 (3.2) $\dfrac{9!}{8 \times 4} \times 1$ Shannon O'Neill, 7/12 Lawrence, KS |
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| 11341 (3.2) $\dfrac{9!}{8 \times 4} + 1$ Elizabeth Waters, 7/12 Lawrence, KS |
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| 15111 (3.4) $\dfrac{9!}{4!} - 8 - 1$ Steve Wilson, 5/26 Lawrence, KS |
15112 (3.4) $\dfrac{9!}{4!} - 8 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
15113 (3.4) $\dfrac{9!}{4!} - 8 + 1$ Steve Wilson, 5/26 Lawrence, KS |
15114 (3.8) $\dfrac{9!}{4!} - (\sqrt{8 + 1})!$ Steve Wilson, 5/26 Lawrence, KS |
15117 (3.6) $\dfrac{9!}{4!} - \sqrt{8 + 1}$ Steve Wilson, 5/26 Lawrence, KS |
15119 (3.4) $\dfrac{9!}{4!} - 1^8$ Steve Wilson, 5/26 Lawrence, KS |
15120 (3.4) $\dfrac{9!}{4!} \times 1^8$ Steve Wilson, 5/26 Lawrence, KS |
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| 15121 (3.4) $\dfrac{9!}{4!} + 1^8$ Steve Wilson, 5/26 Lawrence, KS |
15123 (3.6) $\dfrac{9!}{4!} + \sqrt{8 + 1}$ Steve Wilson, 5/26 Lawrence, KS |
15126 (3.8) $\dfrac{9!}{4!} + (\sqrt{8 + 1})!$ Steve Wilson, 5/26 Lawrence, KS |
15127 (3.4) $\dfrac{9!}{4!} + 8 - 1$ Steve Wilson, 5/26 Lawrence, KS |
15128 (3.4) $\dfrac{9!}{4!} + 8 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
15129 (3.4) $\dfrac{9!}{4!} + 8 + 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 18136 (3.4) $9! \times (4 + 1)\% - 8$ Steve Wilson, 5/26 Lawrence, KS |
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| 18144 (3.4) $9! \times (8 - 4 + 1)\%$ Steve Wilson, 5/26 Lawrence, KS |
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| 18152 (3.4) $9! \times (4 + 1)\% + 8$ Long Zhang, 7/12 Lawrence, KS |
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| 20151 (3.2) $4 \times (8 - 1)! - 9$ Steve Wilson, 5/26 Lawrence, KS |
20154 (3.6) $4 \times (8 - 1)! - (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
20157 (3.4) $4 \times (8 - 1)! - \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
20159 (3.6) $4 \times (8 - 1)! - .\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
20160 (3.2) $4 \times (8 - 1^9)!$ Steve Wilson, 5/26 Lawrence, KS |
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| 20161 (3.6) $4 \times (8 - 1)! + .\overline{9}$ Steve Wilson, 5/26 Lawrence, KS |
20163 (3.4) $4 \times (8 - 1)! + \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
20166 (3.6) $4 \times (8 - 1)! + (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
20169 (3.2) $4 \times (8 - 1)! + 9$ Steve Wilson, 5/26 Lawrence, KS |
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| 22950 (2.2) $\dfrac{918}{4\%}$ Alyssa Trembly, 1/15 Spring Hill, KS |
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| 24525 (2.2) $\dfrac{981}{4\%}$ Alyssa Trembly, 1/15 Spring Hill, KS |
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| 32759 (3.0) $8^{4+1} - 9$ Steve Wilson, 5/26 Lawrence, KS |
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| 32762 (3.4) $8^{4+1} - (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
32765 (3.2) $8^{4+1} - \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
32767 (3.0) $\dfrac{4^9}{8} - 1$ Yuncan Yang, 7/12 Lawrence, KS |
32768 (3.0) $\dfrac{4^9}{8} \times 1$ Steve Wilson, 5/26 Lawrence, KS |
32769 (3.0) $\dfrac{4^9}{8} + 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 32771 (3.2) $8^{4+1} + \sqrt{9}$ Steve Wilson, 5/26 Lawrence, KS |
32774 (3.4) $8^{4+1} + (\sqrt{9})!$ Steve Wilson, 5/26 Lawrence, KS |
32777 (3.0) $8^{4+1} + 9$ Steve Wilson, 5/26 Lawrence, KS |
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| 36863 (3.0) $8^4 \times 9 - 1$ Kayla Hutchison, 5/14 Salina, KS |
36864 (3.0) $8^4 \times 9 \times 1$ Luke Sauvadon, 7/12 Lawrence, KS |
36865 (3.0) $8^4 \times 9 + 1$ Kayla Hutchison, 5/14 Salina, KS |
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| 40324 (3.2) $\dfrac{9!}{8 + 1} + 4$ Andrew Mohr, 7/12 Lawrence, KS |
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| 40352 (3.2) $8! + 41 - 9$ Obada Albadawi, 3/16 Overland Park, KS |
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| 40469 (3.2) $8! + 149$ Andrew Mohr, 7/12 Lawrence, KS |
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| 40811 (3.2) $8! + 491$ Andrew Mohr, 7/12 Lawrence, KS |
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| 41261 (3.2) $8! + 941$ Andrew Mohr, 7/12 Lawrence, KS |
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| 52416 (3.6) $(9! + 4 \times 8!) \times .1$ Steve Wilson, 5/26 Lawrence, KS |
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| 52487 (3.0) $9^4 \times 8 - 1$ Kayla Hutchison, 5/14 Salina, KS |
52488 (3.0) $9^4 \times 8 \times 1$ Kayla Hutchison, 5/14 Salina, KS |
52489 (3.0) $9^4 \times 8 + 1$ Kayla Hutchison, 5/14 Salina, KS |
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| 65536 (3.0) $(9 + 8 - 1)^4$ Obada Albadawi, 3/16 Overland Park, KS |
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| 77824 (3.0) $19 \times 8^4$ Deborah Kangas, 4/14 Lenexa, KS |
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| 89400 (2.2) $\dfrac{894}{1\%}$ Alyssa Trembly, 1/15 Spring Hill, KS |
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| 94800 (2.2) $\dfrac{948}{1\%}$ Alyssa Trembly, 1/15 Spring Hill, KS |
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| 98400 (2.2) $\dfrac{984}{1\%}$ Alyssa Trembly, 1/15 Spring Hill, KS |
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| 100800 (3.4) $\dfrac{(8 - 1)!}{(9 - 4)\%}$ Junjie Mao, 7/12 Lawrence, KS |
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| 118098 (3.0) $18 \times 9^4$ Deborah Kangas, 4/14 Lenexa, KS |
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| 157500 (2.4) $(8 - 1) \times \dfrac{9}{4\%\%}$ Steve Wilson, 5/22 Lawrence, KS |
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| 201599 (3.2) $(9 - 4) \times 8! - 1$ Cooper Krause, 7/12 Lawrence, KS |
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| 322535 (3.6) $9! - 8! - 4! - 1$ Andrew Mohr, 7/12 Lawrence, KS |
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| 322574 (3.4) $9! - 8! + 14$ Cooper Krause, 7/12 Lawrence, KS |
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| 363361 (3.2) $9! + 481$ Hannah Maleki, 9/15 Overland Park, KS |
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| 403214 (3.4) $9! + 8! + 14$ Long Zhang, 7/12 Lawrence, KS |
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| 504300 (3.6) $\dfrac{8! + 4!}{(9 - 1)\%}$ Junjie Mao, 7/12 Lawrence, KS |
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| 589824 (3.0) $4^8 \times 9 \times 1$ Chryspus Muema, 3/16 Olathe, KS |
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| 655300 (3.2) $\dfrac{9^4 - 8}{1\%}$ Junjie Mao, 7/12 Lawrence, KS |
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| 819200 (3.2) $\dfrac{4^8}{(9 - 1)\%}$ Junjie Mao, 7/12 Lawrence, KS |
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| 1048576 (3.0) $(8 - 4)^{9 + 1}$ Javion Grant, 7/14 Kansas City, KS |
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| 1451520 (3.2) $8! \times 9 \times 4 \times 1$ Long Zhang, 7/12 Lawrence, KS |
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| 1953125 (3.0) $(9 - 4)^{8 + 1}$ Javion Grant, 7/14 Kansas City, KS |
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| 2097152 (3.0) $4^9 \times 8 \times 1$ Chryspus Muema, 3/16 Olathe, KS |
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| 2359296 (3.0) $4^{1+8} \times 9$ Hannah Maleki, 9/15 Overland Park, KS |
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| 4782969 (3.0) $\dfrac{81^4}{9}$ Chelsea Kiddle, 8/12 Leawood, KS |
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| 5963776 (3.0) $4^8 \times 91$ Kashmira Sayani, 3/17 Overland Park, KS |
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| 9273600 (3.6) $(9! + 8!) \times (4! - 1)$ Adam Shafton, 3/16 Overland Park, KS |
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| 9676800 (3.6) $(9! + 8!) \times 4! \times 1$ Adam Shafton, 3/16 Overland Park, KS |
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| 10080000 (3.6) $(9! + 8!) \times (4! + 1)$ Adam Shafton, 3/16 Overland Park, KS |
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| 25401600 (5.2) $9! \times {}_8 C_4 \times 1$ Luke Sauvadon, 7/12 Lawrence, KS |
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| 33554432 (3.0) $\dfrac{8^9}{4 \times 1}$ Obada Albadawi, 3/16 Overland Park, KS |
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| 43046716 (3.0) $8^9 - 4 - 1$ Steve Wilson, 5/26 Lawrence, KS |
43046717 (3.0) $8^9 - 4 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
43046718 (3.0) $8^9 - 4 + 1$ Steve Wilson, 5/26 Lawrence, KS |
43046719 (3.2) $8^9 - 1 \times \sqrt{4}$ Steve Wilson, 5/26 Lawrence, KS |
43046720 (3.0) $8^9 - 1^4$ Steve Wilson, 5/26 Lawrence, KS |
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| 43046721 (3.0) $9^8 \times 1^4$ Chryspus Muema, 3/16 Olathe, KS |
43046722 (3.0) $8^9 + 1^4$ Steve Wilson, 5/26 Lawrence, KS |
43046723 (3.2) $8^9 + 1 \times \sqrt{4}$ Steve Wilson, 5/26 Lawrence, KS |
43046724 (3.0) $8^9 + 4 - 1$ Steve Wilson, 5/26 Lawrence, KS |
43046725 (3.0) $8^9 + 4 \times 1$ Steve Wilson, 5/26 Lawrence, KS |
43046726 (3.0) $9^8 + 4 + 1$ Ben Kerkhoff, 7/12 Lawrence, KS |
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| 62742240 (3.0) $89^4 - 1$ Xinpei Zhao, 7/12 Lawrence, KS |
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| 62742241 (3.0) $89^4 \times 1$ Xinpei Zhao, 7/12 Lawrence, KS |
62742242 (3.0) $89^4 + 1$ Xinpei Zhao, 7/12 Lawrence, KS |
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| 134217723 (3.0) $8^9 - 4 - 1$ Steve Wilson, 5/26 Lawrence, KS |
134217724 (3.0) $8^9 - 4 \times 1$ Ben Kerkhoff, 7/12 Lawrence, KS |
134217725 (3.0) $8^9 - 4 + 1$ Ben Kerkhoff, 7/12 Lawrence, KS |
134217726 (3.2) $8^9 - 1 \times \sqrt{4}$ Steve Wilson, 5/26 Lawrence, KS |
134217727 (3.0) $8^9 - 1^4$ Steve Wilson, 5/26 Lawrence, KS |
134217728 (3.0) $8^9 \times 1^4$ Chryspus Muema, 3/16 Olathe, KS |
134217729 (3.4) $8^9 + 1^4$ Junjie Mao, 7/12 Lawrence, KS |
134217730 (3.2) $8^9 + 1 \times \sqrt{4}$ Steve Wilson, 5/26 Lawrence, KS |
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| 134217731 (3.0) $8^9 + 4 - 1$ Hannah Maleki, 9/15 Overland Park, KS |
134217732 (3.0) $8^9 + 4 \times 1$ Ben Kerkhoff, 7/12 Lawrence, KS |
134217733 (3.0) $8^9 + 4 + 1$ Steve Wilson, 5/26 Lawrence, KS |
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| 161414428 (3.0) $(8 - 1)^9 \times 4$ Obada Albadawi, 3/16 Overland Park, KS |
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| 172186884 (3.0) $9^8 \times 4 \times 1$ Chryspus Muema, 3/16 Olathe, KS |
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| 1275989841 (3.0) $189^4$ Deborah Kangas, 4/14 Lenexa, KS |
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| 1536953616 (3.0) $198^4$ Deborah Kangas, 4/14 Lenexa, KS |
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| 3657830400 (3.4) $\dfrac{9! \times 8!}{4 \times 1}$ Steve Wilson, 5/26 Lawrence, KS |
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| 49589822592 (3.0) $\dfrac{18^9}{4}$ Obada Albadawi, 3/16 Overland Park, KS |
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| googol (3.4) $\sqrt[(1 + 9)\pmf\phantom8]{\sqrt{4} + 8}$ Kevin Schwarz, 6/25 Olathe, KS |
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