\( \def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \DeclareMathOperator{\antilog}{antilog} \DeclareMathOperator{\arcsec}{arcsec} \DeclareMathOperator{\arccsc}{arccsc} \DeclareMathOperator{\sech}{sech} \DeclareMathOperator{\csch}{csch} \DeclareMathOperator{\arsinh}{arsinh} \DeclareMathOperator{\arcosh}{arcosh} \DeclareMathOperator{\arsech}{arsech} \DeclareMathOperator{\arcsch}{arcsch} \)
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 3 (801-1200), NEXT Page, ... Index to All Pages.
| 801 (2.4) $\dfrac{8}{1\%} + 5 \times .2$ Steve Wilson, 1/13 Raytown, MO |
802 (2.4) $\dfrac{ \dfrac{8}{2\%} + 1}{.5}$ Steve Wilson, 1/13 Raytown, MO |
803 (2.2) $\dfrac{8}{1\%} + 5 - 2$ Steve Wilson, 1/13 Raytown, MO |
804 (2.4) $\dfrac{8}{1\%} + \dfrac{2}{.5}$ Steve Wilson, 1/13 Raytown, MO |
805 (2.2) $\dfrac{8}{(2 - 1)\%} + 5$ Steve Wilson, 1/13 Raytown, MO |
806 (3.4) $\dfrac{ \dfrac{1}{.\overline{5}\%} - .\overline{8}}{.\overline{2}}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
807 (2.0) $812 - 5$ Sean Collins, 3/10 Overland Park, KS |
808 (3.6) $\dfrac{(5 + 1)!}{.\overline{8}} - 2$ Steve Wilson, 4/13 Raytown, MO |
809 (3.4) $\dfrac{.\overline{8} + 1\%}{.2 \times .\overline{5}\%}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
810 (2.0) $81 \times 5 \times 2$ Meredith Rosenbaum, 8/11 Shawnee, KS |
|
| 811 (3.6) $\left( \dfrac{\sqrt{5!}}{2} \right)^8 ‰ + 1$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
812 (3.6) $\dfrac{(5 + 1)!}{.\overline{8}} + 2$ Steve Wilson, 4/13 Raytown, MO |
813 (2.0) $815 - 2$ Meredith Rosenbaum, 8/11 Shawnee, KS |
814 (3.4) $\dfrac{ \dfrac{1}{.\overline{5}\%} + .\overline{8}}{.\overline{2}}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
815 (2.2) $\dfrac{8.2}{1\%} - 5$ Steve Wilson, 1/13 Raytown, MO |
816 (2.0) $821 - 5$ Sean Collins, 5/10 Overland Park, KS |
817 (2.6) $812 + 5$ Meredith Rosenbaum, 8/11 Shawnee, KS |
818 (3.0) $\dfrac{1}{.\overline{2} \times .\overline{5}\%} + 8$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
819 (3.8) $\dfrac{.8}{\sqrt[.1]{.5}} - .2$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
820 (2.4) $\dfrac{ \dfrac{8}{.2} + 1}{5\%}$ Steve Wilson, 7/12 Raytown, MO |
|
| 821 (3.4) $\sqrt{ \sqrt[.5]{821}}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
822 (4.4) $825 + \log(1\pm)$ Steve Wilson, 7/23 Lawrence, KS |
823 (3.2) $\dfrac{.\overline{8} + 2\%}{.\overline{1}\%} + 5$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
824 (2.0) $825 - 1$ Mary Tuggle, 11/09 Kansas City, MO |
825 (2.0) $825 \times 1$ Edward Gonzales, 9/10 Lawrence, KS |
826 (2.0) $825 + 1$ Sean Collins, 3/10 Overland Park, KS |
827 (3.2) $\dfrac{.\overline{8} + (5 - 2)\%}{.\overline{1}\%}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
828 (3.0) $\dfrac{1 - 8\%}{.2 \times .\overline{5}\%}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
829 (4.6) $825 - \log(1\%\%)$ Steve Wilson, 7/23 Lawrence, KS |
830 (2.2) $\dfrac{85 - 2}{.1}$ Steve Wilson, 7/12 Raytown, MO |
|
| 831 (4.6) $825 - \log(1\pmm)$ Steve Wilson, 8/25 Lawrence, KS |
832 (3.2) $\dfrac{8}{1\%} + 2^5$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
833 (3.8) $\dfrac{5 - 2 ‰}{( \sqrt{8 + 1} )! ‰}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
834 (4.8) $825 + \cot\arctan(.\overline{1})$ Steve Wilson, 8/25 Lawrence, KS |
835 (2.8) $\dfrac{5 + 1\%}{(.8 - .2)\%}$ Steve Wilson, 2/13 Raytown, MO |
836 (2.8) $\dfrac{8 + \dfrac{.2}{.\overline{5}}}{1\%}$ Steve Wilson, 2/13 Raytown, MO |
837 (4.8) $(8 - 2)! + 5! + \log(1\pm)$ Steve Wilson, 8/25 Lawrence, KS |
838 (3.2) $(8 - 1) \times 5! - 2$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
839 (3.4) $(8 - 2)! + 5! - 1$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
840 (2.0) $21 \times 8 \times 5$ Steve Wilson, 7/12 Raytown, MO |
|
| 841 (3.2) $\sqrt[.5]{28 + 1}$ Steve Wilson, 4/13 Raytown, MO |
842 (3.2) $(8 - 1) \times 5! + 2$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
843 (3.2) $\dfrac{.\overline{8} + 5\%}{.\overline{1}\%} - 2$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
844 (3.8) $\dfrac{.\overline{8} + .2\%}{(.1 + \overline{5}\%)\%}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
845 (2.8) $\dfrac{1.\overline{8}}{.\overline{2}\%} - 5$ Steve Wilson, 2/13 Raytown, MO |
846 (3.0) $\dfrac{ \dfrac{1}{.\overline{5}\%} + 8}{.\overline{2}}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
847 (3.2) $\dfrac{.\overline{8} + 5\%}{.\overline{1}\%} + 2$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
848 (2.2) $\dfrac{8.5}{1\%} - 2$ Steve Wilson, 2/13 Raytown, MO |
849 (2.0) $851 - 2$ Sean Collins, 4/10 Overland Park, KS |
850 (2.2) $\dfrac{51}{(8 - 2)\%}$ Steve Wilson, 7/12 Raytown, MO |
|
| 851 (2.0) $852 - 1$ Mary Tuggle, 11/09 Kansas City, MO |
852 (2.0) $\dfrac{852}{1}$ Meredith Rosenbaum, 10/11 Shawnee, KS |
853 (2.0) $851 + 2$ Sean Collins, 4/10 Overland Park, KS |
854 (3.2) $(5! + 2) \times (8 - 1)$ Steve Wilson, 4/13 Raytown, MO |
855 (2.8) $\dfrac{1.\overline{8}}{.\overline{2}\%} + 5$ Steve Wilson, 2/13 Raytown, MO |
856 (3.2) $\dfrac{2 \times (.\overline{5} - 8\%)}{.\overline{1}\%}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
857 (4.6) $852 - \log(1\%\pm)$ Steve Wilson, 8/25 Lawrence, KS |
858 (3.6) $\dfrac{82}{.\overline{1}} + 5!$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
859 (4.8) $852 - \log(1\%\%\pm)$ Steve Wilson, 8/25 Lawrence, KS |
860 (2.8) $\dfrac{ \dfrac{1}{.\overline{5}\%} - 8}{.2}$ Steve Wilson, 7/12 Raytown, MO |
|
| 861 (4.4) $851 + \sqrt{\antilog 2}$ Steve Wilson, 9/25 Lawrence, KS |
862 (3.8) $\dfrac{.8 \times 5!}{.\overline{1}} - 2$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
863 (3.2) $\dfrac{.\overline{8} + (5 + 2)\%}{.\overline{1}\%}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
864 (2.8) $\dfrac{12}{(.\overline{8} + .5)\%}$ Steve Wilson, 2/13 Raytown, MO |
865 (3.6) $5! \times (8 - 2)!\% + 1$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
866 (3.8) $\dfrac{.8 \times 5!}{.\overline{1}} + 2$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
867 (4.6) $\dfrac{51}{\sech(2 \times \arsinh\sqrt{8})}$ Steve Wilson, 9/25 Lawrence, KS |
868 (3.8) $(.\overline{2} - 5\%) \times (8 - 1)!$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
869 (4.8) $\dfrac{5 + 2}{8\pmf} + \log(1\pmm)$ Steve Wilson, 9/25 Lawrence, KS |
870 (2.2) $\dfrac{85 + 2}{.1}$ Steve Wilson, 7/12 Raytown, MO |
|
| 871 (4.8) $\dfrac{5 + 2}{8\pmf} + \log(1\%\%)$ Steve Wilson, 9/25 Lawrence, KS |
872 (3.8) $5! \times ((2 + 1)!)!\% + 8$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
873 (4.6) $\dfrac{5 + 2}{8\pmf} + \log(1\%)$ Steve Wilson, 9/25 Lawrence, KS |
874 (2.4) $\dfrac{5 + 2}{.8\%} - 1$ Steve Wilson, 2/13 Raytown, MO |
875 (2.4) $\dfrac{5 + 2}{.8\%} \times 1$ Steve Wilson, 2/13 Raytown, MO |
876 (2.4) $\dfrac{5 + 2}{.8\%} + 1$ Steve Wilson, 7/12 Raytown, MO |
877 (4.6) $\dfrac{5 + 2}{8\pmf} - \log(1\%)$ Steve Wilson, 9/25 Lawrence, KS |
878 (4.6) $\dfrac{5 + 2}{8\pmf} - \log(1\pm)$ Steve Wilson, 9/25 Lawrence, KS |
879 (3.8) $5! \times 8 - (.\overline{1})^{-2}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
880 (3.4) $\dfrac{.1\overline{2}}{(.\overline{8} + .5)\%\%}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
|
| 881 (4.8) $\dfrac{5 + 2}{8\pmf} - \log(1\pmm)$ Steve Wilson, 9/25 Lawrence, KS |
882 (3.6) $\dfrac{\sqrt{ \sqrt{21^8}}}{.5}$ Paolo Pellegrini, 6/13 Martina Franca, Italy |
883 (4.8) $\coth\ln\coth$ $\phantom.\arsinh(15 + 8 - 2)$ Steve Wilson, 9/25 Lawrence, KS |
884 (2.8) $\dfrac{ \dfrac{1}{.\overline{2}\%} - 8}{.5}$ Steve Wilson, 7/12 Raytown, MO |
885 (4.4) $\dfrac{5 + 2}{8\pmf} + \antilog 1$ Steve Wilson, 9/25 Lawrence, KS |
886 (4.8) $\coth\ln\coth\arsinh 21$ $\phantom. + 8 - 5$ Steve Wilson, 9/25 Lawrence, KS |
887 (4.6) $\dfrac{\antilog 2}{.\overline{1}} - 8 - 5$ Steve Wilson, 9/25 Lawrence, KS |
888 (4.8) $((\antilog 8)\%$ $\phantom. - \antilog 5)\pm - 12$ Steve Wilson, 9/25 Lawrence, KS |
889 (3.2) $\dfrac{.\overline{8}}{5 \times 2\%\%} + .\overline{1}$ Steve Wilson, 9/25 Lawrence, KS |
890 (4.8) $(\antilog 5)\% - \antilog 2$ $\phantom. - \antilog(1^8)$ Steve Wilson, 9/25 Lawrence, KS |
|
| 891 (4.6) $(\antilog 5)\% - \antilog 2$ $\phantom. - 8 - 1$ Steve Wilson, 9/25 Lawrence, KS |
892 (2.8) $\dfrac{1}{.2 \times .\overline{5}\%} - 8$ Steve Wilson, 2/13 Raytown, MO |
893 (4.6) $(\antilog 5)\% - \antilog 2$ $\phantom. - 8 + 1$ Steve Wilson, 9/25 Lawrence, KS |
894 (4.8) $(\antilog 8)\%\pm$ $\phantom. - \antilog 2 - 5 - 1$ Steve Wilson, 9/25 Lawrence, KS |
895 (2.2) $\dfrac{18}{2\%} - 5$ Steve Wilson, 2/13 Raytown, MO |
896 (2.8) $\left( \dfrac{2}{.\overline{1}\%} - 8 \right) \times .5$ Steve Wilson, 2/13 Raytown, MO |
897 (4.6) $\dfrac{\antilog 2}{.\overline{1}} - 8 + 5$ Steve Wilson, 9/25 Lawrence, KS |
898 (3.4) $\dfrac{(5 + 1)!}{.8} - 2$ Steve Wilson, 6/26 Lawrence, KS |
899 (4.6) $(\antilog 5)\%$ $\phantom. - \antilog 2 - 1^8$ Steve Wilson, 9/25 Lawrence, KS |
900 (2.2) $\dfrac{5 + \dfrac82}{1\%}$ Steve Wilson, 7/12 Raytown, MO |
|
| 901 (4.6) $(\antilog 5)\%$ $\phantom. - \antilog 2 + 1^8$ Steve Wilson, 9/25 Lawrence, KS |
902 (3.4) $\dfrac{(5 + 1)!}{.8} + 2$ Steve Wilson, 6/26 Lawrence, KS |
903 (4.6) $\dfrac{\antilog 2}{.\overline{1}} + 8 - 5$ Steve Wilson, 9/25 Lawrence, KS |
904 (2.8) $\left( \dfrac{2}{.\overline{1}\%} + 8 \right) \times .5$ Steve Wilson, 2/13 Raytown, MO |
905 (2.2) $\dfrac{18}{2\%} + 5$ Steve Wilson, 2/13 Raytown, MO |
906 (4.8) $(\antilog 8)\%\pm$ $\phantom. - \antilog 2 + 5 + 1$ Steve Wilson, 9/25 Lawrence, KS |
907 (4.6) $(\antilog 5)\% - \antilog 2$ $\phantom. + 8 - 1$ Steve Wilson, 9/25 Lawrence, KS |
908 (2.8) $\dfrac{1}{.2 \times .\overline{5}\%} + 8$ Steve Wilson, 2/13 Raytown, MO |
909 (4.6) $(\antilog 5)\% - \antilog 2$ $\phantom. + 8 + 1$ Steve Wilson, 9/25 Lawrence, KS |
910 (2.0) $182 \times 5$ Steve Wilson, 7/12 Raytown, MO |
|
| 911 (5.0) $(\antilog 5)\% + 8$ $\phantom. - \antilog 2 - \log(1\pm)$ Steve Wilson, 9/25 Lawrence, KS |
912 (4.8) $((\antilog 8)\%$ $\phantom. - \antilog 5)\pm + 12$ Steve Wilson, 9/25 Lawrence, KS |
913 (4.6) $\dfrac{\antilog 2}{.\overline{1}} + 8 + 5$ Steve Wilson, 9/25 Lawrence, KS |
914 (4.8) $\antilog\coth\ln\sqrt{2}$ $\phantom. - 85 - 1$ Steve Wilson, 9/25 Lawrence, KS |
915 (4.2) $\antilog(2 + 1) - 85$ Steve Wilson, 9/25 Lawrence, KS |
916 (2.8) $\dfrac{ \dfrac{1}{.\overline{2}\%} + 8}{.5}$ Steve Wilson, 2/13 Raytown, MO |
917 (4.4) $(\antilog 5)\% - 82 - 1$ Steve Wilson, 9/25 Lawrence, KS |
918 (3.6) $(.1)^{-5}\% - 82$ Steve Wilson, 4/13 Raytown, MO |
919 (4.4) $(\antilog 5)\% - 82 + 1$ Steve Wilson, 9/25 Lawrence, KS |
920 (2.4) $\dfrac{5 \times 2 - .8}{1\%}$ Steve Wilson, 7/12 Raytown, MO |
|
| 921 (4.4) $(\antilog 5)\% - 81 + 2$ Steve Wilson, 9/25 Lawrence, KS |
938 (4.2) $(.\overline{1}\%)^{-2}\pm + 5! - 8$ Steve Wilson, 10/25 Lawrence, KS |
923 (4.8) $\coth\ln\coth\arsinh 21$ $\phantom. + 8 \times 5$ Steve Wilson, 9/25 Lawrence, KS |
924 (3.6) $5! \times (8 - .2 - .1)$ Steve Wilson, 9/25 Lawrence, KS |
925 (2.2) $\dfrac{18.5}{2\%}$ Steve Wilson, 7/12 Raytown, MO |
926 (4.6) $\ln\sqrt{\exp 1852}$ Steve Wilson, 9/25 Lawrence, KS |
927 (4.6) $\dfrac{\antilog 2 + 8 - 5}{.\overline{1}}$ Steve Wilson, 9/25 Lawrence, KS |
928 (3.6) $5! \times 8 - \sqrt{\sqrt[.1]{2}}$ Steve Wilson, 9/25 Lawrence, KS |
929 (4.8) $(\antilog 5)\% - 81$ $\phantom. + \sqrt{\antilog 2}$ Steve Wilson, 9/25 Lawrence, KS |
930 (3.8) $\dfrac{1.8}{.\overline{2}\%} + 5!$ Steve Wilson, 7/23 Lawrence, KS |
|
| 931 (5.0) $5! \times (8 - .2) + \log(1\%\pm)$ Steve Wilson, 10/25 Lawrence, KS |
932 (5.0) $5! \times (8 - .2) + \log(1\%\%)$ Steve Wilson, 10/25 Lawrence, KS |
933 (4.8) $5! \times (8 - .2) + \log(1\pm)$ Steve Wilson, 9/25 Lawrence, KS |
934 (4.4) $(5! - 2) \times 8 - \antilog 1$ Steve Wilson, 9/25 Lawrence, KS |
935 (3.4) $5! \times (8 - .2) - 1$ Steve Wilson, 4/13 Raytown, MO |
936 (2.0) $52 \times 18$ Steve Wilson, 2/13 Raytown, MO |
937 (3.4) $5! \times (8 - .2) + 1$ Steve Wilson, 4/13 Raytown, MO |
938 (4.2) $(.\overline{1}\%)^{-2}\pm + 5! + 8$ Steve Wilson, 10/25 Lawrence, KS |
939 (3.2) $5! \times 8 - 21$ Steve Wilson, 4/13 Raytown, MO |
940 (2.8) $\dfrac{ \dfrac{1}{.\overline{5}\%} + 8}{.2}$ Steve Wilson, 7/12 Raytown, MO |
|
| 941 (4.8) $\coth\ln\coth\arsinh 21$ $\phantom. + 58$ Steve Wilson, 9/25 Lawrence, KS |
942 (3.6) $5! \times 8 - \dfrac{2}{.\overline{1}}$ Steve Wilson, 4/13 Raytown, MO |
943 (3.2) $(5! - 2) \times 8 - 1$ Steve Wilson, 4/13 Raytown, MO |
944 (3.2) $(5! - 2) \times 8 \times 1$ Steve Wilson, 4/13 Raytown, MO |
945 (3.2) $(5! - 2) \times 8 + 1$ Steve Wilson, 4/13 Raytown, MO |
946 (3.4) $5! \times (8 - .1) - 2$ Steve Wilson, 4/13 Raytown, MO |
947 (4.6) $(\antilog 8)\%\pm - 52 - 1$ Steve Wilson, 9/25 Lawrence, KS |
948 (3.2) $5! \times 8 - 12$ Steve Wilson, 4/13 Raytown, MO |
949 (4.4) $\sqrt{\antilog(8 - 2)} - 51$ Steve Wilson, 9/25 Lawrence, KS |
950 (2.4) $\dfrac{8 + 2 - .5}{1\%}$ Steve Wilson, 7/12 Raytown, MO |
|
| 951 (4.0) $5! \times 8 - \sqrt{(.\overline{1})^{-2}}$ Steve Wilson, 9/25 Lawrence, KS |
952 (3.2) $(5! - 1^2) \times 8$ Steve Wilson, 4/13 Raytown, MO |
953 (4.8) $5! \times 8 - 2 + \log(1\%\pm)$ Steve Wilson, 9/25 Lawrence, KS |
954 (3.2) $(5! - 1) \times 8 + 2$ Steve Wilson, 4/13 Raytown, MO |
955 (3.4) $5! \times 8 - \dfrac{1}{.2}$ Steve Wilson, 4/13 Raytown, MO |
956 (3.2) $\left(5! - \dfrac12\right) \times 8$ Steve Wilson, 9/25 Lawrence, KS |
957 (3.2) $5! \times 8 - 2 - 1$ Steve Wilson, 4/13 Raytown, MO |
958 (3.2) $5! \times 8 - 2 \times 1$ Steve Wilson, 4/13 Raytown, MO |
959 (3.2) $5! \times 8 - 2 + 1$ Steve Wilson, 4/13 Raytown, MO |
960 (2.2) $5 \times \left( \dfrac{2}{1\%} - 8 \right)$ Steve Wilson, 7/12 Raytown, MO |
|
| 961 (3.2) $5! \times 8 + 2 - 1$ Steve Wilson, 4/13 Raytown, MO |
962 (3.2) $5! \times 8 + 2 \times 1$ Steve Wilson, 4/13 Raytown, MO |
963 (3.2) $5! \times 8 + 2 + 1$ Steve Wilson, 4/13 Raytown, MO |
964 (3.2) $\left(5! + \dfrac12\right) \times 8$ Steve Wilson, 9/25 Lawrence, KS |
965 (3.4) $5! \times 8 + \dfrac{1}{.2}$ Steve Wilson, 4/13 Raytown, MO |
966 (3.2) $(5! + 1) \times 8 - 2$ Steve Wilson, 4/13 Raytown, MO |
967 (4.6) $(\antilog 8)\%\pm - 2^5 - 1$ Steve Wilson, 9/25 Lawrence, KS |
968 (3.2) $(5! + 1^2) \times 8$ Steve Wilson, 4/13 Raytown, MO |
969 (4.6) $(\antilog 8)\%\pm - 2^5 + 1$ Steve Wilson, 9/25 Lawrence, KS |
970 (3.2) $(5! + 1) \times 8 + 2$ Steve Wilson, 4/13 Raytown, MO |
|
| 971 (4.4) $(\antilog 5)\% - 21 - 8$ Steve Wilson, 9/25 Lawrence, KS |
972 (3.2) $5! \times 8 + 12$ Sean Collins, 1/10 Overland Park, KS |
973 (4.4) $(\antilog 5)\% - 28 + 1$ Steve Wilson, 9/25 Lawrence, KS |
974 (3.2) $5! \times 8.1 + 2$ Steve Wilson, 4/13 Raytown, MO |
975 (2.6) $\dfrac{2 - 5\%}{(1 - .8)\%}$ Steve Wilson, 7/12 Raytown, MO |
976 (3.2) $(5! + 2) \times 8 \times 1$ Harman Tiwana, 12/12 Lenexa, KS |
977 (3.2) $(5! + 2) \times 8 + 1$ Harman Tiwana, 12/12 Lenexa, KS |
978 (3.6) $5! \times 8 + \dfrac{2}{.\overline{1}}$ Steve Wilson, 4/13 Raytown, MO |
979 (4.2) $\antilog(8 - 5) - 21$ Steve Wilson, 9/25 Lawrence, KS |
980 (3.4) $5! \times 8 + \dfrac{2}{.1}$ Steve Wilson, 4/13 Raytown, MO |
|
| 981 (3.2) $5! \times 8 + 21$ Steve Wilson, 4/13 Raytown, MO |
982 (4.2) $\antilog(5 - 2) - 18$ Steve Wilson, 9/25 Lawrence, KS |
983 (3.2) $5! \times 8.2 - 1$ Steve Wilson, 4/13 Raytown, MO |
984 (2.2) $2 \times \left( \dfrac{5}{1\%} - 8 \right)$ Steve Wilson, 7/12 Raytown, MO |
985 (3.2) $5! \times 8.2 + 1$ Steve Wilson, 4/13 Raytown, MO |
986 (4.4) $(\antilog 5)\%$ $\phantom. - (8 - 1) \times 2$ Steve Wilson, 9/25 Lawrence, KS |
987 (4.2) $\antilog(2 + 1) - 8 - 5$ Steve Wilson, 10/25 Lawrence, KS |
988 (3.6) $\dfrac{8 + 2 - 5!\pmf}{1\%}$ Steve Wilson, 6/26 Lawrence, KS |
989 (4.4) $(\antilog 5)\% - 8 - 2 - 1$ Steve Wilson, 9/25 Lawrence, KS |
990 (3.6) $(.1)^{-5}\% - 8 - 2$ Steve Wilson, 4/13 Raytown, MO |
|
| 991 (4.2) $\antilog(5 - 2) - 8 - 1$ Steve Wilson, 9/25 Lawrence, KS |
992 (2.2) $\dfrac{5 \times 2}{1\%} - 8$ Steve Wilson, 2/13 Raytown, MO |
993 (3.8) $(.1)^{-8}\%\pm - 5 - 2$ Steve Wilson, 9/25 Lawrence, KS |
994 (3.6) $(.1)^{-5}\% - 8 + 2$ Steve Wilson, 4/13 Raytown, MO |
995 (2.2) $\dfrac{8 + 2}{1\%} - 5$ Steve Wilson, 2/13 Raytown, MO |
996 (2.4) $\dfrac{ \dfrac{1}{5\%\%} - 8}{2}$ Steve Wilson, 2/13 Raytown, MO |
997 (3.8) $(.1)^{-8}\%\pm - 5 + 2$ Steve Wilson, 9/25 Lawrence, KS |
998 (3.2) $(.1)^{5-8} - 2$ Steve Wilson, 9/25 Lawrence, KS |
999 (4.0) $(.1)^{-5}\% - .8 - .2$ Steve Wilson, 4/13 Raytown, MO |
1000 (2.0) $125 \times 8$ Sean Collins, 1/10 Overland Park, KS |
|
| 1001 (4.0) $(.1)^{-5}\% + .8 + .2$ Steve Wilson, 10/25 Lawrence, KS |
1002 (3.2) $(.1)^{5-8} + 2$ Steve Wilson, 9/25 Lawrence, KS |
1003 (3.8) $(.1)^{-8}\%\pm + 5 - 2$ Steve Wilson, 9/25 Lawrence, KS |
1004 (2.4) $\dfrac{ \dfrac{1}{5\%\%} + 8}{2}$ Steve Wilson, 8/13 Lawrence, KS |
1005 (2.2) $\dfrac{8 + 2}{1\%} + 5$ Steve Wilson, 8/13 Lawrence, KS |
1006 (3.6) $(.1)^{-5}\% + 8 - 2$ Steve Wilson, 9/25 Lawrence, KS |
1007 (3.8) $(.1)^{-8}\%\pm + 5 + 2$ Steve Wilson, 9/25 Lawrence, KS |
1008 (2.2) $5 \times \dfrac{2}{1\%} + 8$ Steve Wilson, 8/13 Lawrence, KS |
1009 (3.4) $\sqrt[.1]{2} - \dfrac{5!}{8}$ Steve Wilson, 6/26 Lawrence, KS |
1010 (3.6) $(.1)^{-5}\% + 8 + 2$ Steve Wilson, 9/25 Lawrence, KS |
|
| 1011 (3.2) $\sqrt[.1]{2} - 5 - 8$ Steve Wilson, 10/25 Lawrence, KS |
1012 (3.6) $\dfrac{8 + 2 + 5!\pmf}{1\%}$ Steve Wilson, 6/26 Lawrence, KS |
1013 (4.2) $\antilog(2 + 1) + 8 + 5$ Steve Wilson, 10/25 Lawrence, KS |
1014 (3.6) $\sqrt[-.1]{.5} - 8 - 2$ Steve Wilson, 6/26 Lawrence, KS |
1015 (4.4) $(\antilog 5)\% + 8 \times 2 - 1$ Steve Wilson, 10/25 Lawrence, KS |
1016 (2.2) $2 \times \left( \dfrac{5}{1\%} + 8 \right)$ Steve Wilson, 8/13 Lawrence, KS |
1017 (4.4) $(\antilog 5)\% + 8 \times 2 + 1$ Steve Wilson, 10/25 Lawrence, KS |
1018 (3.6) $\sqrt[-.1]{.5} - 8 + 2$ Steve Wilson, 6/26 Lawrence, KS |
1019 (3.4) $\sqrt[.1]{\sqrt{\dfrac82}} - 5$ Steve Wilson, 4/26 Lawrence, KS |
1020 (2.0) $85 \times 12$ Sean Collins, 4/10 Overland Park, KS |
|
| 1021 (3.2) $\sqrt[.1]{2} + 5 - 8$ Steve Wilson, 10/25 Lawrence, KS |
1022 (3.6) $\sqrt{\sqrt[.1]{8 \times .5}} - 2$ Steve Wilson, 10/25 Lawrence, KS |
1023 (3.0) $\left(\dfrac82\right)^5 - 1$ Steve Wilson, 10/25 Lawrence, KS |
1024 (3.0) $\left(\dfrac82\right)^5 \times 1$ Steve Wilson, 10/25 Lawrence, KS |
1025 (2.6) $\dfrac{2 + 5\%}{(1 - .8)\%}$ Steve Wilson, 8/13 Lawrence, KS |
1026 (3.6) $\sqrt{\sqrt[.1]{8 \times .5}} + 2$ Steve Wilson, 10/25 Lawrence, KS |
1027 (3.2) $\sqrt[.1]{2} - 5 + 8$ Steve Wilson, 10/25 Lawrence, KS |
1028 (3.6) $(.1)^{-5}\% + 28$ Steve Wilson, 10/25 Lawrence, KS |
1029 (3.4) $\sqrt[.1]{\sqrt{\dfrac82}} + 5$ Steve Wilson, 4/26 Lawrence, KS |
1030 (3.6) $\sqrt[-.1]{.5} + 8 - 2$ Steve Wilson, 6/26 Lawrence, KS |
|
| 1031 (4.6) $(\antilog 8)\%\pm + 2^5 - 1$ Steve Wilson, 10/25 Lawrence, KS |
1032 (3.2) $\sqrt[.2]{5 - 1} + 8$ Steve Wilson, 10/25 Lawrence, KS |
1033 (4.6) $(\antilog 8)\%\pm + 2^5 + 1$ Steve Wilson, 10/25 Lawrence, KS |
1034 (3.6) $\sqrt[-.1]{.5} + 8 + 2$ Steve Wilson, 6/26 Lawrence, KS |
1035 (2.8) $\dfrac{1.5 + .8}{.\overline{2}\%}$ Steve Wilson, 8/13 Lawrence, KS |
1036 (2.0) $518 \times 2$ Edward Gonzales, 9/10 Lawrence, KS |
1037 (3.2) $\sqrt[.1]{2} + 5 + 8$ Steve Wilson, 10/25 Lawrence, KS |
1038 (4.6) $(\antilog 5)\% + 28$ $\phantom. + \antilog 1$ Steve Wilson, 6/26 Lawrence, KS |
1039 (3.4) $\sqrt[.1]{2} + \dfrac{5!}{8}$ Steve Wilson, 6/26 Lawrence, KS |
1040 (2.2) $5 \times \left( \dfrac{2}{1\%} + 8 \right)$ Steve Wilson, 8/13 Lawrence, KS |
|
| 1041 (4.6) $(\antilog 5)\% + \dfrac{8}{.2} + 1$ Steve Wilson, 6/26 Lawrence, KS |
1042 (4.6) $\cot\arctan(1\pm)$ $\phantom. + 8 \times 5 + 2$ Steve Wilson, 6/26 Lawrence, KS |
1043 (4.8) $\antilog\coth\ln\sqrt{2}$ $\phantom. + 51 - 8$ Steve Wilson, 6/26 Lawrence, KS |
1044 (2.4) $58 \times \dfrac{2}{.\overline{1}}$ Steve Wilson, 8/13 Lawrence, KS |
1045 (4.8) $\antilog\coth\ln\sqrt{2}$ $\phantom. + 5 \times (8 + 1)$ Steve Wilson, 6/26 Lawrence, KS |
1046 (5.2) $\cot\arctan(1\pm) + 52$ $\phantom. - \log((\antilog 8)\%)$ Steve Wilson, 10/25 Lawrence, KS |
1047 (4.8) $\log\left(\left(\antilog\left({\phantom{\dfrac11}}\right.\right.\right.$ $\left.\left.\left.\dfrac{8 + 2.5}{1\%}\right)\right)\pm\right)$ Steve Wilson, 6/26 Lawrence, KS |
1048 (3.6) $\sqrt[.1]{2} + (8 \times .5)!$ Steve Wilson, 6/26 Lawrence, KS |
1049 (3.6) $\sqrt[.1]{2} + \sqrt{\sqrt{5^8}}$ Steve Wilson, 6/26 Lawrence, KS |
1050 (2.2) $\dfrac{8 + \dfrac52}{1\%}$ Steve Wilson, 8/13 Lawrence, KS |
|
| 1051 (4.4) $\sqrt{\antilog(8 - 2)} + 51$ Steve Wilson, 6/26 Lawrence, KS |
1052 (3.6) $\sqrt[-.1]{.5} + 28$ Steve Wilson, 6/26 Lawrence, KS |
1053 (4.6) $(\antilog 8)\%\pm + 52 + 1$ Steve Wilson, 6/26 Lawrence, KS |
1054 (4.6) $(\antilog 5)\% + 8^2$ $\phantom. - \antilog 1$ Steve Wilson, 6/26 Lawrence, KS |
1055 (4.8) $\antilog(2 + 1)$ $\phantom. + \log((\antilog 58)\pm)$ Steve Wilson, 6/26 Lawrence, KS |
1056 (2.8) $8 \times \dfrac{.2}{.\overline{15}\%}$ Steve Wilson, 8/13 Lawrence, KS |
1057 (4.8) $\antilog\coth\ln\sqrt{2}$ $\phantom. + 58 - 1$ Steve Wilson, 6/26 Lawrence, KS |
1058 (4.2) $\antilog(2 + 1) + 58$ Steve Wilson, 10/25 Lawrence, KS |
1059 (4.6) $\cot\arctan(1\pm) + 8^2 - 5$ Steve Wilson, 6/26 Lawrence, KS |
1060 (2.8) $\dfrac{8 - 2.\overline{1}}{.\overline{5}\%}$ Steve Wilson, 8/13 Lawrence, KS |
|
| 1061 (4.8) $(\antilog 5)\% + 8^2$ $\phantom. + \log(1\pm)$ Steve Wilson, 6/26 Lawrence, KS |
1062 (2.6) $\dfrac{8 - 2.1}{.\overline{5}\%}$ Steve Wilson, 8/13 Lawrence, KS |
1063 (4.4) $(\antilog 5)\% + 8^2 - 1$ Steve Wilson, 10/25 Lawrence, KS |
1064 (3.2) $\sqrt[.1]{2} + 5 \times 8$ Steve Wilson, 10/25 Lawrence, KS |
1065 (4.4) $(\antilog 5)\% + 8^2 + 1$ Steve Wilson, 10/25 Lawrence, KS |
1066 (4.8) $\cot\arctan(1\pm) + \sqrt[.5]{8} + 2$ Steve Wilson, 6/26 Lawrence, KS |
1067 (4.8) $(\antilog 5)\% + 8^2$ $\phantom. - \log(1\pm)$ Steve Wilson, 6/26 Lawrence, KS |
1068 (4.8) $\cot\arctan(1\pm)$ $\phantom. + \dfrac{5!}{2} + 8$ Steve Wilson, 6/26 Lawrence, KS |
1069 (4.6) $\cot\arctan(1\pm) + 8^2 + 5$ Steve Wilson, 6/26 Lawrence, KS |
1070 (3.6) $\dfrac{5!}{.\overline{1}} - 8 - 2$ Steve Wilson, 6/26 Lawrence, KS |
|
| 1071 (4.8) $(\antilog 5)\% + 81$ $\phantom. - \sqrt{\antilog 2}$ Steve Wilson, 6/26 Lawrence, KS |
1072 (3.8) $\dfrac{(2 + 1)!}{.\overline{5}\%} - 8$ Steve Wilson, 6/26 Lawrence, KS |
1073 (3.0) $\dfrac{.1}{.\overline{8}\%\%} - 52$ Steve Wilson, 4/26 Lawrence, KS |
1074 (3.6) $\dfrac{5!}{.\overline{1}} - 8 + 2$ Steve Wilson, 6/26 Lawrence, KS |
1075 (2.8) $\dfrac{2 - .8}{.\overline{1}\%} - 5$ Steve Wilson, 8/13 Lawrence, KS |
1076 (3.6) $\dfrac{5!}{.\overline{1}} - \dfrac82$ Steve Wilson, 6/26 Lawrence, KS |
1077 (4.6) $\cot\arctan(1\pm)$ $\phantom. + 82 - 5$ Steve Wilson, 6/26 Lawrence, KS |
1078 (4.6) $(\antilog 5)\% + \dfrac{8}{.1} - 2$ Steve Wilson, 6/26 Lawrence, KS |
1079 (2.8) $\dfrac{8 - 2}{.\overline{5}\%} - 1$ Steve Wilson, 8/13 Lawrence, KS |
1080 (2.4) $\dfrac{5 \times 2 + .8}{1\%}$ Steve Wilson, 8/13 Lawrence, KS |
|
| 1081 (2.8) $\dfrac{8 - 2}{.\overline{5}\%} + 1$ Steve Wilson, 8/13 Lawrence, KS |
1082 (3.2) $\sqrt[.1]{2} + 58$ Steve Wilson, 10/25 Lawrence, KS |
1083 (4.4) $(\antilog 5)\% + 82 + 1$ Steve Wilson, 10/25 Lawrence, KS |
1084 (3.6) $\dfrac{5!}{.\overline{1}} + \dfrac82$ Steve Wilson, 6/26 Lawrence, KS |
1085 (2.8) $\dfrac{2 - .8}{.\overline{1}\%} + 5$ Steve Wilson, 8/13 Lawrence, KS |
1086 (3.6) $\dfrac{5!}{.\overline{1}} + 8 - 2$ Steve Wilson, 6/26 Lawrence, KS |
1087 (4.6) $\cot\arctan(1\pm)$ $\phantom. + 85 + 2$ Steve Wilson, 6/26 Lawrence, KS |
1088 (3.4) $\sqrt[.1]{2} + \sqrt[.5]{8}$ Steve Wilson, 6/26 Lawrence, KS |
1089 (3.4) $\sqrt{\sqrt{(2^5 + 1)^8}}$ Steve Wilson, 6/26 Lawrence, KS |
1090 (2.0) $218 \times 5$ Steve Wilson, 8/13 Lawrence, KS |
|
| 1093 (3.0) $\dfrac{.1}{.\overline{8}\%\%} - 2^5$ Steve Wilson, 4/26 Lawrence, KS |
1095 (2.6) $\dfrac{2}{.\overline{18}\%} - 5$ Steve Wilson, 8/13 Lawrence, KS |
1096 (4.4) $(\antilog 5)\% + 12 \times 8$ Steve Wilson, 10/25 Lawrence, KS |
1098 (2.6) $\dfrac{8.1 - 2}{.\overline{5}\%}$ Steve Wilson, 8/13 Lawrence, KS |
1100 (2.2) $\dfrac{8 \times 2 - 5}{1\%}$ Steve Wilson, 8/13 Lawrence, KS |
||||||
| 1104 (3.8) $\dfrac{5!}{.\overline{1}} + \left(\dfrac82\right)!$ Steve Wilson, 6/26 Lawrence, KS |
1105 (2.6) $\dfrac{2}{.\overline{18}\%} + 5$ Steve Wilson, 8/13 Lawrence, KS |
1106 (3.6) $\sqrt[-.1]{.5} + 82$ Steve Wilson, 6/26 Lawrence, KS |
1108 (3.6) $\dfrac{5!}{.\overline{1}} + 28$ Steve Wilson, 6/26 Lawrence, KS |
1109 (3.2) $\sqrt[.1]{2} + 85$ Steve Wilson, 10/25 Lawrence, KS |
1110 (4.8) $\dfrac{5! - 8}{.1} - \sqrt{\antilog 2}$ Steve Wilson, 4/26 Lawrence, KS |
|||||
| 1115 (3.0) $\dfrac{.1}{.\overline{8}\%\%} - 5 \times 2$ Steve Wilson, 4/26 Lawrence, KS |
1116 (3.6) $\dfrac{5! + \dfrac82}{.\overline{1}}$ Steve Wilson, 6/26 Lawrence, KS |
1118 (3.0) $\dfrac{.1}{.\overline{8}\%\%} - 5 - 2$ Steve Wilson, 4/26 Lawrence, KS |
1119 (3.8) $\dfrac{1}{.\overline{8}\pmf} - (5 - 2)!$ Steve Wilson, 4/26 Lawrence, KS |
1120 (2.6) $5 \times \left( \dfrac{2}{.\overline{8}\%} - 1 \right)$ Steve Wilson, 10/13 Lawrence, KS |
||||||
| 1121 (3.2) $\dfrac{.1}{.\overline{8}\%\%} - \dfrac{2}{.5}$ Steve Wilson, 4/26 Lawrence, KS |
1122 (3.0) $\dfrac{.1}{.\overline{8}\%\%} - 5 + 2$ Steve Wilson, 4/26 Lawrence, KS |
1123 (2.6) $2 \times \left( \dfrac{5}{.\overline{8}\%} - 1 \right)$ Steve Wilson, 10/13 Lawrence, KS |
1124 (2.6) $2 \times \dfrac{5}{.\overline{8}\%} - 1$ Steve Wilson, 10/13 Lawrence, KS |
1125 (2.4) $\dfrac{5 \times 2 - 1}{.8\%}$ Steve Wilson, 10/13 Lawrence, KS |
1126 (2.6) $2 \times \dfrac{5}{.\overline{8}\%} + 1$ Steve Wilson, 10/13 Lawrence, KS |
1127 (2.6) $2 \times \left( \dfrac{5}{.\overline{8}\%} + 1 \right)$ Steve Wilson, 10/13 Lawrence, KS |
1128 (3.0) $\dfrac{.1}{.\overline{8}\%\%} + 5 - 2$ Steve Wilson, 4/26 Lawrence, KS |
1129 (3.2) $\dfrac{.1}{.\overline{8}\%\%} + \dfrac{2}{.5}$ Steve Wilson, 4/26 Lawrence, KS |
1130 (2.6) $5 \times \left( \dfrac{2}{.\overline{8}\%} + 1 \right)$ Steve Wilson, 10/13 Lawrence, KS |
|
| 1131 (3.8) $\dfrac{1}{.\overline{8}\pmf} + (5 - 2)!$ Steve Wilson, 4/26 Lawrence, KS |
1132 (3.0) $\dfrac{.1}{.\overline{8}\%\%} + 5 + 2$ Steve Wilson, 4/26 Lawrence, KS |
1134 (3.6) $\dfrac{5! + 8 - 2}{.\overline{1}}$ Steve Wilson, 6/26 Lawrence, KS |
1135 (3.0) $\dfrac{.1}{.\overline{8}\%\%} + 5 \times 2$ Steve Wilson, 4/26 Lawrence, KS |
1140 (3.4) $\dfrac{5! - 8 + 2}{.1}$ Steve Wilson, 4/26 Lawrence, KS |
||||||
| 1144 (3.6) $\sqrt[.1]{\sqrt{\dfrac82}} + 5!$ Steve Wilson, 4/26 Lawrence, KS |
1150 (2.2) $\dfrac{15 + 8}{2\%}$ Steve Wilson, 10/13 Lawrence, KS |
|||||||||
| 1152 (2.8) $(1 - .2) \times \dfrac{8}{.\overline{5}\%}$ Steve Wilson, 10/13 Lawrence, KS |
1154 (3.6) $\dfrac{5! + 8}{.\overline{1}} + 2$ Steve Wilson, 6/26 Lawrence, KS |
1157 (3.0) $\dfrac{.1}{.\overline{8}\%\%} + 2^5$ Steve Wilson, 4/26 Lawrence, KS |
1160 (2.2) $5.8 \times \dfrac{2}{1\%}$ Steve Wilson, 10/13 Lawrence, KS |
|||||||
| 1162 (2.0) $581 \times 2$ Edward Gonzales, 9/10 Lawrence, KS |
1170 (2.6) $\dfrac{ \dfrac85 + 1}{.\overline{2}\%}$ Steve Wilson, 10/13 Lawrence, KS |
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| 1176 (3.6) $\sqrt{(2 + 1)!^8} - 5!$ Steve Wilson, 5/26 Lawrence, KS |
1177 (3.0) $\dfrac{.1}{.\overline{8}\%\%} + 52$ Steve Wilson, 4/26 Lawrence, KS |
1180 (2.4) $\dfrac{8 - 2.1}{.5\%}$ Steve Wilson, 10/13 Lawrence, KS |
||||||||
| 1185 (2.6) $\dfrac{1 - 5.2\%}{8\%\%}$ Steve Wilson, 10/13 Lawrence, KS |
1190 (2.8) $\dfrac{1 - (5 - .2)\%}{8\%\%}$ Steve Wilson, 10/13 Lawrence, KS |
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| 1192 (3.4) $\dfrac{(5 - 1)!}{2\%} - 8$ Steve Wilson, 5/26 Lawrence, KS |
1195 (2.6) $\dfrac{2 - .8}{.1\%} - 5$ Steve Wilson, 10/13 Lawrence, KS |
1196 (3.6) $\dfrac{(5 - 1)! - 8\%}{2\%}$ Steve Wilson, 5/26 Lawrence, KS |
1198 (2.4) $\dfrac{1}{8\%\%} - 52$ Steve Wilson, 10/13 Lawrence, KS |
1199 (2.4) $\dfrac{8 - 2}{.5\%} - 1$ Steve Wilson, 10/13 Lawrence, KS |
1200 (2.4) $\dfrac{8 - 2}{.5\%} \times 1$ Steve Wilson, 10/13 Lawrence, KS |
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