$\def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}}$

## Integermania!

#### First Four Evens

Using one copy each of the digits 2, 4, 6, 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! 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+).

 801 (3.6) $\dfrac{6! - 4\times 2}{.\overline{8}}$ Steve Wilson, 11/22Lawrence, KS 802 (2.2) $\dfrac{48}{6\%} + 2$ Steve Wilson, 11/22Lawrence, KS 803 (3.6) $8! \times 2\% + .6 - 4$ Steve Wilson, 11/22Lawrence, KS 804 (3.4) $6! + \sqrt{84^2}$ Steve Wilson, 11/22Lawrence, KS 805 (3.8) $8! \times 2\% + .6 - \sqrt{4}$ Steve Wilson, 11/22Lawrence, KS 806 (3.2) $6! + 84 + 2$ Jordan May, 11/15Overland Park, KS 807 (3.6) $8! \times (4 - 2)\% + .6$ Steve Wilson, 11/22Lawrence, KS 808 (3.6) $\dfrac{6!}{.\overline{8}} - 4 + 2$ Steve Wilson, 11/22Lawrence, KS 809 (3.8) $8! \times 2\% + .6 + \sqrt{4}$ Steve Wilson, 11/22Lawrence, KS 810 (2.8) $(8 - 2) \times \dfrac{.6}{.\overline{4}\%}$ Steve Wilson, 11/22Lawrence, KS 811 (3.4) $8! \times 2\% + 4.6$ Steve Wilson, 11/22Lawrence, KS 812 (3.6) $8! \times 2\% - .4 + 6$ Steve Wilson, 11/22Lawrence, KS 816 (3.2) $\dfrac{68 \times 4!}{2}$ Bruno Biazetto, 1/17Overland Park, KS 818 (2.0) $824 - 6$ Kendra Alsup, 2/16Olathe, KS 820 (2.0) $82 \times (4 + 6)$ Lawrence Ombasa, 1/16Overland Park, KS 822 (2.0) $826 - 4$ Jonathan Frank, 10/22Rye, NY 824 (3.2) $826 - \sqrt{4}$ Jonathan Frank, 11/22Rye, NY 825 (2.2) $\dfrac{64 + 2}{8\%}$ Steve Wilson, 11/22Lawrence, KS 828 (3.2) $826 + \sqrt{4}$ Jonathan Frank, 1/22Rye, NY 830 (2.0) $826 + 4$ Carson Tate, 12/15Overland Park, KS 832 (2.0) $26 \times 8 \times 4$ Steve Wilson, 11/22Lawrence, KS 833 (2.4) $\dfrac{ \dfrac{4}{8\%\%} - 2}{6}$ Steve Wilson, 11/22Lawrence, KS 834 (3.4) $\dfrac{8!}{4! \times 2} - 6$ Jonathan Frank, 11/22Rye, NY 836 (2.0) $842 - 6$ Douglas Shamlin Jr., 1/17Highland, MD 840 (2.6) $\dfrac{28}{(4 - .\overline{6})\%}$ Steve Wilson, 11/22Lawrence, KS 844 (2.0) $846 - 2$ Daniel Hocklander, 1/16Lawrence, KS 846 (3.4) $\dfrac{8!}{4! \times 2} + 6$ Jonathan Frank, 11/22Rye, NY 848 (2.0) $846 + 2$ Daniel Hocklander, 1/16Lawrence, KS 850 (2.2) $\dfrac{68}{2 \times 4\%}$ Jonathan Frank, 5/21Rye, NY 855 (2.8) $\dfrac{6 + 2 - .4}{.\overline{8}\%}$ Steve Wilson, 11/22Lawrence, KS 858 (2.0) $862 - 4$ Morgan Sievert, 1/17Olathe, KS 860 (3.2) $862 - \sqrt{4}$ Jonathan Frank, 11/22Rye, NY 862 (2.0) $864 - 2$ Sehrish Javed, 12/15Overland Park, KS 864 (2.4) $\dfrac{8 \times 6 \times 4}{.\overline{2}}$ Steve Wilson, 11/22Lawrence, KS 866 (2.0) $864 + 2$ Jordan May, 11/15Overland Park, KS 870 (2.8) $\dfrac{ \dfrac{8}{.\overline{4}} - .6}{2\%}$ Steve Wilson, 11/22Lawrence, KS 873 (2.6) $\dfrac{ \dfrac{8}{4\%} - 6}{.\overline{2}}$ Steve Wilson, 11/22Lawrence, KS 875 (2.4) $\dfrac{4 + \dfrac62}{.8\%}$ Jonathan Frank, 4/21Rye, NY 876 (2.6) $4 \times \left( \dfrac{2}{.\overline{8}\%} - 6 \right)$ Steve Wilson, 11/22Lawrence, KS 882 (2.8) $\dfrac{6 - 2 - 8\%}{.\overline{4}\%}$ Steve Wilson, 11/22Lawrence, KS 885 (2.8) $\dfrac{ \dfrac{8}{.\overline{2}} - .6}{4\%}$ Steve Wilson, 11/22Lawrence, KS 888 (2.6) $2 \times \left( \dfrac{4}{.\overline{8}\%} - 6 \right)$ Steve Wilson, 11/22Lawrence, KS 892 (2.6) $\dfrac{2 + 4}{.\overline{6}\%} - 8$ Steve Wilson, 11/22Lawrence, KS 894 (2.6) $\dfrac{2 \times 4}{.\overline{8}\%} - 6$ Steve Wilson, 11/22Lawrence, KS 896 (2.6) $\dfrac{2 + 6}{.\overline{8}\%} - 4$ Steve Wilson, 11/22Lawrence, KS 897 (2.6) $\dfrac{ \dfrac{8}{.\overline{4}\%} - 6}{2}$ Steve Wilson, 11/22Lawrence, KS 900 (2.2) $\dfrac{8 + 6 + 4}{2\%}$ Douglas Shamlin Jr., 1/17Highland, MD 908 (3.4) $\left( \dfrac{6!}{4!} \right)^2 + 8$ Carsten Holtorf, 5/17Overland Park, KS 936 (2.0) $468 \times 2$ Alondra Aviles Gallegos, 2/17Kansas City, KS 952 (3.4) $6! + 2^8 - 4!$ Jonathan Frank, 11/22Rye, NY 958 (3.6) $\dfrac{8!}{4!} - 6! - 2$ Jonathan Frank, 11/22Rye, NY 960 (4.2) $\dfrac{6!}{\log_2{8}} \times 4$ Jonathan Frank, 11/22Rye, NY 962 (3.6) $\dfrac{8!}{4!} - 6! + 2$ Jonathan Frank, 11/22Rye, NY 972 (2.0) $486 \times 2$ Joanna Ramirez, 2/16Olathe, KS 974 (3.4) $6! + 2^8 - \sqrt{4}$ Jonathan Frank, 11/22Rye, NY 978 (3.4) $6! + 2^8 + \sqrt{4}$ Jonathan Frank, 11/22Rye, NY 980 (3.2) $6! + 2^8 + 4$ Jonathan Frank, 11/22Rye, NY 984 (3.2) $82 \times 6 \times \sqrt{4}$ Jake Karst, 2/17Overland Park, KS 1000 (3.4) $6! + 2^8 + 4!$ Jonathan Frank, 6/22Rye, NY 1008 (2.0) $84 \times 6 \times 2$ Callie Biddle, 4/16Olathe, KS 1018 (3.0) $(4 \times 8)^2 - 6$ Obada Albadawi, 1/16Overland Park, KS 1024 (3.0) $\dfrac{4^8}{2^6}$ Hannah Maleki, 8/15Overland Park, KS 1030 (3.0) $2^8 \times 4 + 6$ Justin Keck, 1/17Lawrence, KS 1072 (2.0) $268 \times 4$ Callie Biddle, 1/16Olathe, KS 1075 (2.2) $\dfrac{86}{2 \times 4\%}$ Jonathan Frank, 4/21Rye, NY 1080 (3.4) $\dfrac{6! \times 4!}{2 \times 8}$ Jonathan Frank, 3/21Rye, NY 1088 (3.0) $4^2 \times 68$ Hannah Maleki, 11/15Overland Park, KS 1116 (3.2) $\dfrac{8!}{6^2} - 4$ Jonathan Frank, 11/22Rye, NY 1118 (3.4) $\dfrac{8!}{6^2} - \sqrt{4}$ Jonathan Frank, 11/22Rye, NY 1121 (3.4) $\dfrac{6!}{8^2 \%} - 4$ Jonathan Frank, 11/22Rye, NY 1122 (3.4) $\dfrac{8!}{6^2} + \sqrt{4}$ Jonathan Frank, 11/22Rye, NY 1123 (3.6) $\dfrac{6!}{8^2 \%} - \sqrt{4}$ Jonathan Frank, 11/22Rye, NY 1124 (3.2) $\dfrac{8!}{6^2} + 4$ Jonathan Frank, 11/22Rye, NY 1127 (3.6) $\dfrac{6!}{8^2 \%} + \sqrt{4}$ Jonathan Frank, 11/22Rye, NY 1129 (3.4) $\dfrac{6!}{8^2 \%} + 4$ Jonathan Frank, 11/22Rye, NY 1144 (2.0) $286 \times 4$ Spencer Lundquist, 1/16Lenexa, KS 1150 (2.2) $46 \times \dfrac{2}{8\%}$ Jonathan Frank, 12/21Rye, NY 1152 (3.0) $6^2 \times 8 \times 4$ Adam Alazzeh, 11/15Overland Park, KS 1156 (3.0) $\dfrac{68^2}{4}$ Jessica Hodge, 1/16Overland Park, KS 1176 (3.0) $\dfrac{84^2}{6}$ Joanna Ramirez, 2/16Olathe, KS 1198 (2.2) $\dfrac{8 \times 6}{4\%} - 2$ Yi Zheng, 2/16Olathe, KS

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