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Four fours is a classic problem, dating back at least 90 years. Create each of the positive integers using four copies of 4, 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 (1601-2000), Page 6 (2001-2400), Page 7 (2401-2800), Page 8 (2801-3200), Page 9 (3201-3600), Page 10 (3601-4000), Page 11 (4001+).
| 801 (2.8) $\dfrac{4 - .44}{.\overline{4}\%}$ Dave Jones, 12/07 Coventry, England |
802 (3.6) $\dfrac{ \sqrt[.4]{4}}{4\%} + \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
803 (5.2) $4 \times \dfrac{4}{(\sqrt{4})\%} + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
804 (3.0) $\dfrac{4 - .\overline{4}}{.\overline{4}\%} + 4$ Steve Wilson, 10/08 Raytown, MO |
805 (3.8) $\dfrac{\sqrt[.4]{4} + \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
806 (2.8) $\dfrac{4 - .4}{.\overline{4}\%} - 4$ Dave Jones, 2/08 Coventry, England |
807 (5.6) $\dfrac{4 - .4}{.\overline{4}\%} - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
808 (3.6) $\sqrt{(4! + 4)^4} + 4!$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
809 (3.2) $\dfrac{4 - .\overline{4} + 4\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
810 (2.8) $\dfrac{4 - .4}{.\overline{44}\%}$ Dave Jones, 2/08 Coventry, England |
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| 811 (3.4) $\dfrac{4 - .4 + .\overline{4}\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
812 (3.8) $\dfrac{4 \times 4 + 4!\%}{(\sqrt{4})\%}$ Steve Wilson, 8/09 Raytown, MO |
813 (5.6) $\dfrac{4 - .4}{.\overline{4}\%} + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
814 (2.8) $\dfrac{4 - .4}{.\overline{4}\%} + 4$ Dave Jones, 2/08 Coventry, England |
815 (4.0) $\dfrac{ \sqrt{4} - 44 \pmf}{4!\%\%}$ Steve Wilson, 8/09 Raytown, MO |
816 (3.4) $4 \times \left( 4 + \dfrac{4}{(\sqrt{4})\%} \right)$ Steve Wilson, 10/08 Raytown, MO |
817 (5.4) $\dfrac{ \sqrt{4} + (4 + \cot\arctan 4)\%}{(\cot\arctan 4)\%}$ Steve Wilson, 8/09 Raytown, MO |
818 (5.6) $\dfrac{\sqrt{4} + \left(4 + \cot\arctan \sqrt{4} \right)\%}{(\cot\arctan 4)\%}$ Steve Wilson, 8/09 Raytown, MO |
819 (3.0) $\dfrac{4 - .4 + 4\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
820 (3.6) $\left( \dfrac{4!}{4} \right)! + \dfrac{4}{4\%}$ Steve Wilson, 10/08 Raytown, MO |
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| 821 (5.8) $\dfrac{\sqrt{4}}{(\cot\arctan 4)\%} + 4! - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
822 (4.2) $\dfrac{4 - 4!\%}{.\overline{4}\%} - 4!$ Steve Wilson, 10/08 Raytown, MO |
823 (5.8) $\dfrac{\sqrt{4}}{(\cot\arctan 4)\%} + 4! - \tan\arcsec \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
824 (3.6) $\dfrac{\sqrt[.4]{4}}{4\%} + 4!$ Steve Wilson, 10/08 Raytown, MO |
825 (4.0) $\sqrt{ 4\%^{-4}} + \dfrac{4}{(\sqrt{4})\%}$ Steve Wilson, 10/08 Raytown, MO |
826 (4.2) $\dfrac{\sqrt{4} + 4\%}{4!\%\%} - 4!$ Steve Wilson, 8/09 Raytown, MO |
827 (5.8) $\dfrac{\sqrt{4}}{(\cot\arctan 4)\%} + 4! + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
828 (5.0) $\dfrac{\sqrt{4}}{(\cot\arctan 4)\%} + 4! + 4$ Steve Wilson, 8/09 Raytown, MO |
829 (5.8) $\dfrac{\sqrt{4}}{(\cot\arctan 4)\%} + 4! + \cot\arctan \sqrt{4\%}$ Steve Wilson, 8/09 Raytown, MO |
830 (4.0) $\dfrac{\sqrt{4} - (4 + 4) \pmf}{4! \%\%}$ Steve Wilson, 8/09 Raytown, MO |
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| 831 (4.0) $\dfrac{\sqrt{4} + 4 \pmf}{4!\%\%} - 4$ Steve Wilson, 8/09 Raytown, MO |
832 (3.4) $4! \times 4! + 4^4$ Steve Wilson, 10/08 Raytown, MO |
833 (4.2) $\dfrac{\sqrt{4} + 4 \pmf}{4!\%\%} - \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
834 (4.2) $\dfrac{4! - 4}{4! \pmf} + \sqrt{.\overline{4}}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
835 (3.8) $\dfrac{4! - 4 + 4\%}{4! \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
836 (4.6) $\dfrac{\sqrt{4} + 4 \pmf + 4!\%\%}{4!\%\%}$ Steve Wilson, 8/09 Raytown, MO |
837 (4.2) $\dfrac{\sqrt{4} + 4 \pmf}{4!\%\%} + \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
838 (5.8) $\dfrac{\sqrt{4} + 4 \pmf}{4!\%\%} + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
839 (4.0) $\dfrac{\sqrt{4} + 4 \pmf}{4!\%\%} + 4$ Steve Wilson, 8/09 Raytown, MO |
840 (4.0) $\left( \dfrac{4!}{4} \right)! + \left(\dfrac{\sqrt{4}}{.4} \right)!$ Steve Wilson, 10/08 Raytown, MO |
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| 841 (3.8) $\sqrt{\left(4! + \dfrac{\sqrt{4}}{.4} \right)^4}$ Steve Wilson, 10/08 Raytown, MO |
842 (4.0) $\dfrac{4 - 4!\%}{.\overline{4}\%} - 4$ Steve Wilson, 10/08 Raytown, MO |
843 (5.8) $\dfrac{4 - 4!\%}{.\overline{4}\%} - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
844 (4.0) $\dfrac{\sqrt{4} + .4^4}{4!\%\%}$ Steve Wilson, 8/09 Raytown, MO |
845 (4.4) $\dfrac{4 - (4! + .\overline{4})\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
846 (4.0) $\dfrac{4 - 4!\%}{.\overline{44}\%}$ Steve Wilson, 10/08 Raytown, MO |
847 (4.4) $\dfrac{4 - (4! - .\overline{4})\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
848 (3.8) $(4 + 4!\%) \times \dfrac{4}{(\sqrt{4})\%}$ Steve Wilson, 10/08 Raytown, MO |
849 (4.4) $\dfrac{\sqrt{4} + (4 - 4!\%)\%}{4!\%\%}$ Steve Wilson, 8/09 Raytown, MO |
850 (4.0) $\dfrac{4}{.\overline{4}\%} - \dfrac{\sqrt{4}}{4\%}$ Steve Wilson, 10/08 Raytown, MO |
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| 851 (4.0) $\dfrac{4 - \sqrt{4\%}}{.\overline{4}\%} - 4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
852 (4.0) $\dfrac{4}{.\overline{4}\%} - 4! - 4!$ Steve Wilson, 2/08 Raytown, MO |
853 (4.2) $\dfrac{4 - \sqrt{4\%}}{.\overline{4}\%} - \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
854 (4.0) $\dfrac{\sqrt{4} + 4\%}{4!\%\%} + 4$ Steve Wilson, 8/09 Raytown, MO |
855 (4.0) $\dfrac{4 - \sqrt{4\%}}{.\overline{44}\%}$ Steve Wilson, 10/08 Raytown, MO |
856 (2.6) $\dfrac{4}{.\overline{4}\%} - 44$ Dave Jones, 2/08 Coventry, England |
857 (3.8) $\dfrac{4! - 4 \pmf}{(4! + 4) \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
858 (4.0) $\dfrac{4! + 4! \pmf}{(4! + 4) \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
859 (4.0) $\dfrac{4 - \sqrt{4\%}}{.\overline{4}\%} + 4$ Steve Wilson, 8/09 Raytown, MO |
860 (3.2) $\dfrac{4 - .4 \times .\overline{4}}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
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| 861 (5.6) $\sqrt{\dfrac{4!^4}{.\overline{4}}} - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
862 (4.0) $\sqrt{\dfrac{4!^4}{.\overline{4}}} - \sqrt{4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
863 (5.6) $\sqrt{\dfrac{4!^4}{.\overline{4}}} - \tan\arcsec \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
864 (2.8) $\dfrac{4 - 4 \times 4\%}{.\overline{4}\%}$ Dave Jones, 2/08 Coventry, England |
865 (4.0) $\dfrac{4 - \dfrac{4!\%}{.\overline{4}}}{4 \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
866 (4.0) $\sqrt{\dfrac{4!^4}{.\overline{4}}} + \sqrt{4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
867 (4.0) $\dfrac{4 - 4\%}{.\overline{4}\%} - 4!$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
868 (3.8) $\sqrt{\dfrac{4!^4}{.\overline{4}}} + 4$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
869 (5.6) $\sqrt{\dfrac{4!^4}{.\overline{4}}} + \cot\arctan \sqrt{4\%}$ Steve Wilson, 8/09 Raytown, MO |
870 (4.2) $\dfrac{\sqrt{4} - (4! + \sqrt{4})\%}{(\sqrt{4}) \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
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| 871 (5.6) $\dfrac{4}{.\overline{4}\%} - 4! - \cot\arctan \sqrt{4\%}$ Steve Wilson, 8/09 Raytown, MO |
872 (3.8) $\dfrac{4}{.\overline{4}\%} - 4! - 4$ Steve Wilson, 2/08 Raytown, MO |
873 (4.2) $\dfrac{4 - \dfrac{4!\%}{\sqrt{4}}}{.\overline{4}\%}$ Steve Wilson, 8/09 Raytown, MO |
874 (4.0) $\dfrac{4}{.\overline{4}\%} - 4! - \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
875 (3.0) $\dfrac{4 - \dfrac{.\overline{4}}{4}}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
876 (3.8) $\dfrac{4}{.\overline{44}\%} - 4!$ Steve Wilson, 6/08 Raytown, MO |
877 (4.4) $\dfrac{4 + .\overline{4}\%}{.\overline{4}\%} - 4!$ Paolo Pellegrini, 5/09 Martina Franca, Italy |
878 (4.0) $\dfrac{4}{.\overline{4}\%} - 4! + \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
879 (4.2) $\dfrac{4 - \sqrt{4\%}}{.\overline{4}\%} + 4!$ Steve Wilson, 8/09 Raytown, MO |
880 (3.2) $44 \times (4! - 4)$ Steve Wilson, 10/08 Raytown, MO |
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| 881 (3.6) $4^4 + \sqrt{ 4\%^{-4}}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
882 (2.8) $\dfrac{4 - (4 + 4)\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
883 (5.0) $\cosh\left( 4 \times \arsinh \sqrt{\dfrac{4}{.4}}\right) + \sqrt{4}$ Steve Wilson, 10/23 Lawrence, KS |
884 (2.6) $\dfrac{4}{.\overline{4}\%} - 4 \times 4$ Dave Jones, 2/08 Coventry, England |
885 (4.0) $\dfrac{4 + 4\%}{.\overline{4}\%} - 4!$ Steve Wilson, 8/09 Raytown, MO |
886 (4.4) $\dfrac{.\overline{4} - 4\%}{.\overline{4} \pmf} - 4!$ Steve Wilson, 8/08 Raytown, MO |
887 (2.8) $\dfrac{4 - 4\%}{.\overline{4}\%} - 4$ Dave Jones, 2/08 Coventry, England |
888 (3.2) $444 \times \sqrt{4}$ Katie Cooper, 11/04 Stilwell, KS |
889 (4.0) $\dfrac{4 - 4\%}{.\overline{4}\%} - \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
890 (2.6) $\dfrac{4 - .44}{.4\%}$ Dave Jones, 2/08 Coventry, England |
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| 891 (2.8) $\dfrac{4 - 4\%}{.\overline{44}\%}$ Dave Jones, 2/08 Coventry, England |
892 (2.6) $\dfrac{4}{.\overline{4}\%} - 4 - 4$ Dave Jones, 2/08 Coventry, England |
893 (4.0) $\dfrac{4 - 4\%}{.\overline{4}\%} + \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
894 (3.8) $\dfrac{4}{.\overline{4}\%} - 4 - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
895 (2.8) $\dfrac{4 - 4\%}{.\overline{4}\%} + 4$ Dave Jones, 2/08 Coventry, England |
896 (2.6) $\dfrac{4}{.\overline{44}\%} - 4$ Dave Jones, 2/08 Coventry, England |
897 (3.2) $\dfrac{4 + .\overline{4}\%}{.\overline{4}\%} - 4$ Steve Wilson, 10/08 Raytown, MO |
898 (3.8) $\dfrac{4}{.\overline{4}\%} - 4 + \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
899 (2.6) $\dfrac{4}{.\overline{4}\%} - \dfrac44$ Dave Jones, 2/08 Coventry, England |
900 (2.4) $\dfrac{4}{(4.\overline{4} - 4)\%}$ Steve Wilson, 10/08 Raytown, MO |
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| 901 (2.6) $\dfrac{4}{.\overline{4}\%} + \dfrac44$ Steve Wilson, 6/08 Raytown, MO |
902 (3.8) $\dfrac{4}{.\overline{4}\%} + 4 - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
903 (3.2) $\dfrac{4 - .\overline{4}\%}{.\overline{4}\%} + 4$ Steve Wilson, 10/08 Raytown, MO |
904 (2.6) $\dfrac{4}{.\overline{44}\%} + 4$ Steve Wilson, 6/08 Raytown, MO |
905 (2.8) $\dfrac{4 + 4\%}{.\overline{4}\%} - 4$ Steve Wilson, 10/08 Raytown, MO |
906 (3.8) $\dfrac{4}{.\overline{4}\%} + 4 + \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
907 (4.0) $\dfrac{ \left( \dfrac{4}{.4} \right)! \pmf}{4} - \sqrt{4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
908 (2.6) $\dfrac{4}{.\overline{4}\%} + 4 + 4$ Steve Wilson, 6/08 Raytown, MO |
909 (2.8) $\dfrac{4 + 4\%}{.\overline{44}\%}$ Steve Wilson, 6/08 Raytown, MO |
910 (2.8) $\dfrac{4 - .4 + 4\%}{.4\%}$ Steve Wilson, 6/08 Raytown, MO |
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| 911 (4.0) $\dfrac{4 + 4\%}{.\overline{4}\%} + \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
912 (4.2) $4! \times \left( \dfrac{4!}{\sqrt{.\overline{4}}} + \sqrt{4} \right)$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
913 (2.8) $\dfrac{4 + 4\%}{.\overline{4}\%} + 4$ Steve Wilson, 10/08 Raytown, MO |
914 (4.2) $\dfrac{.\overline{4} - 4\%}{.\overline{4} \pmf} + 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
915 (4.0) $\dfrac{4! - \sqrt{4} - 4\%}{4! \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
916 (2.6) $\dfrac{4}{.\overline{4}\%} + 4 \times 4$ Steve Wilson, 6/08 Raytown, MO |
917 (5.8) $\tanh\ln \sqrt{4!} \times \dfrac{4}{4 \pmf} - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
918 (2.8) $\dfrac{4 + (4 + 4)\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
919 (4.4) $\dfrac{.\overline{4} - 4\% + 4 \pmf}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
920 (3.8) $\dfrac{4}{.\overline{4}\%} + 4! - 4$ Steve Wilson, 6/08 Raytown, MO |
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| 921 (5.6) $\dfrac{4}{.\overline{4}\%} + 4! - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
922 (4.0) $\dfrac{4}{.\overline{4}\%} + 4! - \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
923 (4.2) $\dfrac{4! - (\sqrt{4}) \pmf}{(4! + \sqrt{4}) \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
924 (3.8) $\dfrac{4}{.\overline{44}\%} + 4!$ Steve Wilson, 6/08 Raytown, MO |
925 (3.0) $\dfrac{4 + \dfrac{.\overline{4}}{4}}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
926 (3.8) $\dfrac{4 - \sqrt{4\%}}{4 \pmf} - 4!$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
927 (5.4) $\sqrt{ 4 \times 4!^4} - \cot\arctan (.\overline{4}\%)$ Steve Wilson, 5/10 Raytown, MO |
928 (3.2) $(4^4 - 4!) \times 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
929 (5.6) $\dfrac{4}{.\overline{4}\%} + 4! + \cot\arctan \sqrt{4\%}$ Steve Wilson, 8/09 Raytown, MO |
930 (3.6) $\dfrac{4 - (4! + 4)\%}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
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| 931 (5.2) $\dfrac{.\overline{4} - \left( \sqrt{.\overline{4}} \right)\% - 4! \pmf}{.\overline{4} \pmf}$ Steve Wilson, 8/09 Raytown, MO |
932 (3.8) $\dfrac{4}{.\overline{4}\%} + \sqrt[.4]{4}$ Steve Wilson, 10/08 Raytown, MO |
933 (4.0) $\dfrac{4 + 4\%}{.\overline{4}\%} + 4!$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
934 (4.4) $\dfrac{.\overline{4} - 4\%}{.\overline{4} \pmf} + 4!$ Steve Wilson, 8/08 Raytown, MO |
935 (3.8) $\dfrac{4 - (4! + \sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
936 (2.8) $\dfrac{4 + 4 \times 4\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
937 (5.4) $\dfrac{4 - 4!\%}{4 \pmf} - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
938 (3.8) $\dfrac{4 - 4!\%}{4 \pmf} - \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
939 (3.8) $\dfrac{4 - (4! + .4)\%}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
940 (3.2) $\dfrac{4 + .4 \times .\overline{4}}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
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| 941 (3.8) $\dfrac{4 - (4! - .4)\%}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
942 (3.8) $\dfrac{4 - 4!\%}{4 \pmf} + \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
943 (5.4) $\dfrac{4 - 4!\%}{4 \pmf} + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
944 (2.6) $\dfrac{4}{.\overline{4}\%} + 44$ Steve Wilson, 10/08 Raytown, MO |
945 (3.8) $\dfrac{4 - (4! - \sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
946 (3.6) $\dfrac{4 - \sqrt{4\%}}{4 \pmf} - 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
947 (5.4) $\dfrac{4 - \sqrt{4\%}}{4 \pmf} - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
948 (3.8) $\dfrac{4 - \sqrt{4\%}}{4 \pmf} - \sqrt{4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
949 (3.8) $\dfrac{4 - \sqrt{4\%} - 4 \pmf}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
950 (3.6) $\dfrac{4}{4 \pmf} - \dfrac{\sqrt{4}}{4\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
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| 951 (3.8) $\dfrac{4 - \sqrt{4\%} + 4 \pmf}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
952 (3.6) $\dfrac{4}{4 \pmf} - 4! - 4!$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
953 (5.4) $\dfrac{4 - \sqrt{4\%}}{4 \pmf} + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
954 (3.6) $\dfrac{4 - \sqrt{4\%}}{4 \pmf} + 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
955 (4.2) $\dfrac{4}{4 \pmf} - \dfrac{\sqrt{4\%}}{.\overline{4}\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
956 (2.4) $\dfrac{4}{.4\%} - 44$ Dave Jones, 10/07 Coventry, England |
957 (5.4) $\dfrac{4!\%}{(\cot\arctan 4) \pmf} - \log\left(\dfrac{4}{4\pmf}\right)$ Steve Wilson, 6/24 Lawrence, KS |
958 (3.8) $\dfrac{(4 + 4)! \pmf - \sqrt{4}}{4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
959 (5.0) $\dfrac{4!\%}{(\cot\arctan 4) \pmf} - \dfrac44$ Steve Wilson, 8/09 Raytown, MO |
960 (2.6) $\dfrac{4 - 4 \times 4\%}{.4\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
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| 961 (5.0) $\dfrac{.\overline{4} - \left(\sqrt{.\overline{4}}\right)\%}{.\overline{4} \pmf} - 4!$ Steve Wilson, 8/09 Raytown, MO |
962 (5.2) $\dfrac{4!\%}{(\cot\arctan 4) \pmf} + 4 - \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
963 (5.4) $\dfrac{4!\%}{(\cot\arctan 4) \pmf} + \log\left(\dfrac{4}{4\pmf}\right)$ Steve Wilson, 6/24 Lawrence, KS |
964 (3.8) $\sqrt[\sqrt{4\%}]{4} - \dfrac{4!}{.4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
965 (5.4) $\dfrac{4!\%}{(\cot\arctan 4) \pmf} + \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 8/09 Raytown, MO |
966 (3.6) $\dfrac{4 - 4\%}{4 \pmf} - 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
967 (4.4) $\dfrac{.\overline{4} - 4 \pmf}{.\overline{4} \pmf} - 4!$ Steve Wilson, 9/08 Raytown, MO |
968 (3.2) $\sqrt{ \dfrac{44^4}{4}}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
969 (4.8) $\dfrac{4}{4\pmf} - \cosh(\sqrt{4} \times \arcosh 4)$ Steve Wilson, 9/23 Lawrence, KS |
970 (3.8) $\dfrac{4 - 4! \pmf}{4 \pmf} - 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
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| 971 (4.0) $\dfrac{4 - \sqrt{4\%\%}}{4 \pmf} - 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
972 (3.4) $\dfrac{4}{4 \pmf} - 4! - 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
973 (4.4) $\dfrac{ \sqrt{4} - \dfrac{4! \pmf}{.\overline{4}}}{(\sqrt{4}) \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
974 (3.6) $\dfrac{4}{4 \pmf} - 4! - \sqrt{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
975 (2.6) $\dfrac{4 - \dfrac{.4}{4}}{.4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
976 (3.4) $(4 + \sqrt{4})! + 4^4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
977 (3.6) $\dfrac{4 + 4 \pmf}{4 \pmf} - 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
978 (3.6) $\dfrac{4}{4 \pmf} - 4! + \sqrt{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
979 (4.2) $\dfrac{\sqrt{4} - 4\% - (\sqrt{4}) \pmf}{(\sqrt{4}) \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
980 (2.6) $\dfrac{4 - (4 + 4)\%}{.4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
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| 981 (2.8) $\dfrac{4.4 - 4\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
982 (3.8) $\dfrac{4 + 4! \pmf}{4 \pmf} - 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
983 (4.2) $4! \times \left( \sqrt{\sqrt{ 4^{4!}}} \right)\% - 4\%$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
984 (2.4) $\dfrac{4}{.4\%} - 4 \times 4$ Dave Jones, 10/07 Coventry, England |
985 (3.6) $\dfrac{4 - (4 + \sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
986 (2.6) $\dfrac{4 - 4\%}{.4\%} - 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
987 (4.2) $\dfrac{.\overline{4} - 4 \pmf}{.\overline{4} \pmf} - 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
988 (3.6) $\dfrac{4}{4 \pmf} - \dfrac{4!}{\sqrt{4}}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
989 (2.6) $\dfrac{4 - 4.4\%}{.4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
990 (2.4) $\dfrac{44}{4.\overline{4}\%}$ Dave Jones, 10/07 Coventry, England |
|
| 991 (2.8) $\dfrac{4}{.4\%} - \dfrac{4}{.\overline{4}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
992 (2.4) $\dfrac{4}{.4\%} - 4 - 4$ Dave Jones, 10/07 Coventry, England |
993 (3.6) $\dfrac{4 - (4! + 4) \pmf}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
994 (2.6) $\dfrac{4 - 4\%}{.4\%} + 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
995 (2.8) $\dfrac{4 - .4\%}{.4\%} - 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
996 (2.8) $\dfrac{4 - 4 \times .4\%}{.4\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
997 (2.8) $\dfrac{4 + .4\%}{.4\%} - 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
998 (3.0) $\dfrac{4 - (.4 + .4)\%}{.4\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
999 (2.4) $\dfrac{444}{.\overline{4}}$ Dave Jones, 9/06 Coventry, England |
1000 (2.2) $\dfrac{44}{4.4\%}$ Dave Jones, 3/07 Coventry, England |
|
| 1001 (2.4) $\dfrac{4}{.4\%} + \dfrac44$ David Bacher, 10/07 Carlsbad, CA |
1002 (3.0) $\dfrac{4 + (.4 + .4)\%}{.4\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
1003 (2.8) $\dfrac{4 - .4\%}{.4\%} + 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
1004 (2.8) $\dfrac{4 + 4 \times .4\%}{.4\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
1005 (2.8) $\dfrac{4 + .4\%}{.4\%} + 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
1006 (2.6) $\dfrac{4 + 4\%}{.4\%} - 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
1007 (3.6) $\dfrac{4 + (4! + 4) \pmf}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
1008 (2.4) $\dfrac{4}{.4\%} + 4 + 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
1009 (2.8) $\dfrac{4}{.4\%} + \dfrac{4}{.\overline{4}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
1010 (2.6) $\dfrac{4}{.4\%} + \dfrac{4}{.4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
|
| 1011 (2.6) $\dfrac{4 + 4.4\%}{.4\%}$ Steve Wilson, 1/09 Raytown, MO |
1012 (3.6) $\dfrac{4}{4 \pmf} + \dfrac{4!}{\sqrt{4}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1013 (3.8) $\dfrac{(4+4)!\% + \sqrt{4}}{.4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1014 (2.6) $\dfrac{4 + 4\%}{.4\%} + 4$ Steve Wilson, 1/09 Raytown, MO |
1015 (3.6) $\dfrac{4 + (4 + \sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1016 (2.4) $\dfrac{4}{.4\%} + 4 \times 4$ Steve Wilson, 1/09 Raytown, MO |
1017 (4.4) $\dfrac{\sqrt{4} + \dfrac{\sqrt{4}}{.\overline{4}\%}}{.\overline{4}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1018 (3.6) $\sqrt[\sqrt{4\%}]{4} - 4 - \sqrt{4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1019 (3.8) $\sqrt[\sqrt{4\%}]{4} - \dfrac{\sqrt{4}}{.4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1020 (2.6) $\dfrac{4 + (4+4)\%}{.4\%}$ Steve Wilson, 1/09 Raytown, MO |
|
| 1021 (4.0) $\sqrt[\sqrt{4\%}]{4} - \sqrt{ \dfrac{4}{.\overline{4}}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1022 (3.2) $4^4 \times 4 - \sqrt{4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1023 (3.4) $\sqrt[\sqrt{4\%}]{4} - \dfrac44$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1024 (3.0) $4^{\left(4 + \frac44 \right)}$ Isaac Grosof, 2/09 Mercer Island, WA |
1025 (2.6) $\dfrac{4 + \dfrac{.4}{4}}{.4\%}$ Steve Wilson, 1/09 Raytown, MO |
1026 (3.2) $4 \times 4^4 + \sqrt{4}$ Nathaniel Uhl, 8/07 Olathe, KS |
1027 (4.0) $\sqrt[\sqrt{4\%}]{4} + \sqrt{ \dfrac{4}{.\overline{4}}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1028 (3.0) $4^4 \times 4 + 4$ Adam McAdoo, 4/05 Lenexa, KS |
1029 (3.8) $\sqrt[\sqrt{4\%}]{4} + \dfrac{\sqrt{4}}{.4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1030 (3.6) $\sqrt[\sqrt{4\%}]{4} + 4 + \sqrt{4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
|
| 1031 (4.8) $\dfrac{4}{4\pmf} + \cosh(\sqrt{4} \times \arcosh 4)$ Steve Wilson, 9/23 Lawrence, KS |
1032 (3.2) $(4^4 + \sqrt{4}) \times 4$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1033 (3.8) $\sqrt[\sqrt{4\%}]{4} + \dfrac{4}{.\overline{4}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1034 (3.6) $\sqrt[\sqrt{4\%}]{4} + \dfrac{4}{.4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1035 (4.0) $\dfrac{ \dfrac{\sqrt{4}}{4} - 4\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1036 (3.8) $\sqrt[\sqrt{4\%}]{4} + \dfrac{4!}{\sqrt{4}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1037 (5.6) $\dfrac{\cot\arctan (4\%)}{4! \pmf} - 4 - \sqrt{.\overline{4}}$ Steve Wilson, 4/10 Raytown, MO |
1038 (4.8) $4! \times (44 - \sinh\ln \sqrt{4})$ Steve Wilson, 5/10 Raytown, MO |
1039 (4.4) $\sqrt[\sqrt{4\%}]{4} + \sqrt[-\sqrt{4}]{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1040 (2.6) $\dfrac{4 + 4 \times 4\%}{.4\%}$ Steve Wilson, 1/09 Raytown, MO |
|
| 1041 (4.4) $\dfrac{4 + \sqrt{.\overline{4}} - 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1042 (4.8) $\dfrac{\sqrt{.\overline{4}} + (4! + 4) \pmf}{\left( \sqrt{.\overline{4}} \right) \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1043 (5.4) $\dfrac{ \cot\arctan (4\%) + (\sqrt[.4]{4}) \pmf}{4! \pmf}$ Steve Wilson, 5/10 Raytown, MO |
1044 (2.4) $\dfrac{4}{.4\%} + 44$ Steve Wilson, 1/09 Raytown, MO |
1045 (4.2) $\dfrac{4}{4 \pmf} + \dfrac{\sqrt{4\%}}{.\overline{4}\%}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1046 (3.6) $\dfrac{4 + \sqrt{4\%}}{4 \pmf} - 4$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1047 (5.4) $\sqrt[\sqrt{4\%}]{4} + 4! - \tan\arcsec \sqrt{\sqrt{4}}$ Steve Wilson, 5/10 Raytown, MO |
1048 (3.2) $4^4 \times 4 + 4!$ Josh Crow, 1/09 Lenexa, KS |
1049 (3.8) $\dfrac{4 + \sqrt{4\%} - 4 \pmf}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1050 (3.4) $\dfrac{44 - \sqrt{4}}{4\%}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
|
| 1051 (3.8) $\dfrac{4 + \sqrt{4\%} + 4 \pmf}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1052 (3.2) $4! \times 44 - 4$ Ian Bowdler, 10/07 Solihull, England |
1053 (4.8) $\dfrac{.\overline{4} + (4! - .\overline{4}) \pmf}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1054 (3.4) $4! \times 44 - \sqrt{4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1055 (3.8) $\dfrac{4 + (4! - \sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1056 (3.4) $\left( \sqrt{4 \times 4} \right)! \times 44$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1057 (4.6) $\cosh\left( 4 \times \arcosh\sqrt{4 + 4 + 4}\right)$ Steve Wilson, 10/23 Lawrence, KS |
1058 (3.4) $4! \times 44 + \sqrt{4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1059 (3.8) $\dfrac{4 + (4! - .4)\%}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1060 (3.2) $4! \times 44 + 4$ Ian Bowdler, 10/07 Solihull, England |
|
| 1061 (3.8) $\dfrac{4 + (4! + .4)\%}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1062 (3.8) $\dfrac{4 + 4!\%}{4 \pmf} + \sqrt{4}$ Steve Wilson, 2/09 Raytown, MO |
1063 (4.4) $\dfrac{.\overline{4} + (4! + 4) \pmf}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1064 (3.4) $\dfrac{4 + 4^4 \pmf}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1065 (3.8) $\dfrac{4 + (4! + \sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1066 (4.4) $\dfrac{.\overline{4} + 4\%}{.\overline{4} \pmf} - 4!$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1067 (5.4) $\dfrac{\sqrt[.4]{4} + \dfrac{4\%}{4}}{\left( \coth\ln \sqrt{\sqrt{4}} \right)\%}$ Steve Wilson, 5/10 Raytown, MO |
1068 (3.4) $\sqrt[\sqrt{4\%}]{4} + 44$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1069 (4.4) $\sqrt[\sqrt{4\%}]{4} + \dfrac{\sqrt{4\%}}{.\overline{4}\%}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1070 (3.6) $\dfrac{4 + (4! + 4)\%}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
|
| 1071 (4.0) $\dfrac{\dfrac{\sqrt{4}}{4 \pmf} - 4!}{.\overline{4}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1072 (3.8) $\sqrt[\sqrt{4\%}]{4} + 4! + 4!$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1073 (5.4) $\sqrt[\sqrt{4\%}]{4} + 4! + \cot\arctan ((\sqrt{4})\%)$ Steve Wilson, 5/10 Raytown, MO |
1074 (3.8) $\sqrt[\sqrt{4\%}]{4} + \dfrac{\sqrt{4}}{4\%}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1075 (4.0) $\dfrac{4 + \sqrt{\dfrac{4\%}{.\overline{4}}}}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1076 (3.4) $\dfrac{44}{4\%} - 4!$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1077 (4.2) $\dfrac{(4 + \sqrt{4})! - \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1078 (4.0) $\sqrt[\sqrt{4\%}]{4} + \dfrac{4!}{.\overline{4}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1079 (4.8) $\dfrac{4! \times \sqrt{4\%} - .\overline{4}\%}{.\overline{4}\%}$ Steve Wilson, 5/10 Raytown, MO |
1080 (2.8) $\dfrac{4.4 + .4}{.\overline{4}\%}$ Steve Wilson, 1/09 Raytown, MO |
|
| 1081 (4.4) $\dfrac{.\overline{4} + 4\% - 4 \pmf}{.\overline{4} \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1082 (4.2) $\dfrac{(4 + \sqrt{4})!}{\sqrt{.\overline{4}}} + \sqrt{4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1083 (4.2) $\dfrac{(4 + \sqrt{4})! + \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1084 (3.8) $\sqrt[\sqrt{4\%}]{4} + \dfrac{4!}{.4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1085 (4.0) $\dfrac{4! + \sqrt{4} + 4\%}{4! \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1086 (4.0) $\dfrac{(4 + \sqrt{4})! + 4}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1087 (4.8) $\dfrac{.\overline{4} - .\overline{4}\%\%}{4\%\%} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1088 (4.2) $\sqrt[\sqrt{4\%}]{4} + \sqrt{\sqrt{\sqrt{ 4^{4!}}}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1089 (3.8) $\sqrt{ \left( 4! + \dfrac{4}{.\overline{4}} \right)^4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1090 (2.4) $\dfrac{44 - .4}{4\%}$ Steve Wilson, 1/09 Raytown, MO |
|
| 1091 (4.2) $\dfrac{4! + (\sqrt{4}) \pmf}{(4! - \sqrt{4}) \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1092 (4.2) $\dfrac{4! + 4! \pmf}{(4! - \sqrt{4}) \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1093 (5.4) $\cot \arctan ((.\overline{4} \times \sqrt{4}) \pm) - \sqrt[.4]{4}$ Steve Wilson, 9/23 Lawrence, KS |
1094 (3.6) $\dfrac{4.4 - 4! \pmf}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1095 (3.6) $\dfrac{44 - \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1096 (2.2) $\dfrac{44}{4\%} - 4$ Dave Jones, 3/07 Coventry, England |
1097 (4.8) $\dfrac{4}{4\pmf} + \cosh(4 \times \arcosh \sqrt{4})$ Steve Wilson, 9/23 Lawrence, KS |
1098 (3.4) $\dfrac{44}{4\%} - \sqrt{4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1099 (2.4) $\dfrac{44 - 4\%}{4\%}$ Steve Wilson, 1/09 Raytown, MO |
1100 (2.6) $\dfrac{4}{.4\%} + \dfrac{4}{4\%}$ Steve Wilson, 1/09 Raytown, MO |
|
| 1101 (2.4) $\dfrac{44 + 4\%}{4\%}$ Steve Wilson, 1/09 Raytown, MO |
1102 (3.4) $\dfrac{44}{4\%} + \sqrt{4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1103 (5.0) $\dfrac{44}{4\%} + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 5/10 Raytown, MO |
1104 (2.2) $\dfrac{44}{4\%} + 4$ Dave Jones, 3/07 Coventry, England |
1105 (3.6) $\dfrac{44 + \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1106 (3.6) $\dfrac{4.4 + 4! \pmf}{4 \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1107 (3.6) $\dfrac{.\overline{4} - .\overline{4}\%\%}{4\%\%} - 4$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1108 (3.6) $\dfrac{4 + (4 + 4)! \pmf}{4\%}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1109 (4.6) $\dfrac{.\overline{4} - (.4 + .\overline{4}) \pmf}{4\%\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1110 (2.2) $\dfrac{44.4}{4\%}$ Dave Jones, 9/06 Coventry, England |
|
| 1111 (3.0) $\dfrac{4 - 4\%\%}{(.4 - 4\%)\%}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1112 (3.6) $\dfrac{.\overline{4}}{4\%\%} + .\overline{4} + .\overline{4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1113 (4.8) $\dfrac{.\overline{4} - .\overline{4}\%\%}{4\%\%} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1114 (4.2) $\sqrt[\sqrt{4\%}]{4} + \dfrac{.4}{.\overline{4}\%}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1115 (3.6) $\dfrac{.\overline{4} - .\overline{4}\%\%}{4\%\%} + 4$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1116 (3.8) $\dfrac{ \dfrac{\sqrt{4}}{4 \pmf} - 4}{.\overline{4}}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1117 (4.8) $\dfrac{.\overline{4} + (4! - .\overline{4})\%\%}{4\%\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1118 (4.2) $\dfrac{\sqrt{4} + (4! - .4)\%}{(\sqrt{4}) \pmf}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1119 (4.0) $\dfrac{ \dfrac{\sqrt{4}}{.\overline{4} \pmf} - 4!}{4}$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1120 (3.2) $(4^4 + 4!) \times 4$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
|
| 1121 (3.0) $\dfrac{.4}{(4 - .\overline{4})\%\%} - 4$ Paolo Pellegrini, 2/09 Martina Franca, Italy |
1122 (4.2) $\dfrac{\sqrt{4} + (4! + .4)\%}{(\sqrt{4}) \pmf}$ Paolo Pellegrini, 3/09 Martina Franca, Italy |
1123 (3.8) $\dfrac{4}{(4 - .\overline{4}) \pmf} - \sqrt{4}$ Paolo Pellegrini, 3/09 Martina Franca, Italy |
1124 (3.4) $\dfrac{44}{4\%} + 4!$ Paolo Pellegrini, 3/09 Martina Franca, Italy |
1125 (2.6) $\dfrac{4 + \dfrac44}{.\overline{4}\%}$ Steve Wilson, 1/09 Raytown, MO |
1126 (3.8) $\dfrac{4 + \dfrac{\sqrt{4}}{.\overline{4} \pmf}}{4}$ Paolo Pellegrini, 5/09 Martina Franca, Italy |
1127 (3.8) $\dfrac{4}{(4 - .\overline{4}) \pmf} + \sqrt{4}$ Paolo Pellegrini, 5/09 Martina Franca, Italy |
1128 (3.6) $\sqrt{4 \times 4!^4} - 4!$ Paolo Pellegrini, 3/09 Martina Franca, Italy |
1129 (3.0) $\dfrac{.4}{(4 - .\overline{4})\%\%} + 4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1130 (4.2) $\dfrac{\dfrac{\sqrt{4}}{.\overline{4}} + (\sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1131 (4.0) $\dfrac{4! + \dfrac{\sqrt{4}}{.\overline{4} \pmf}}{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1132 (4.4) $\dfrac{\sqrt{4} + 4!\% + 4! \pmf}{(\sqrt{4}) \pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1133 (5.2) $\cot \arctan ((.\overline{4} \times \sqrt{4}) \pm) + 4 + 4$ Steve Wilson, 9/23 Lawrence, KS |
1134 (3.8) $\dfrac{\left( \dfrac{4}{.4} \right)!\%}{\sqrt[.4]{4}}$ Steve Wilson, 8/09 Raytown, MO |
1135 (4.0) $\dfrac{4 + \dfrac{4!\%}{.\overline{4}}}{4 \pmf}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1136 (4.2) $4! \times \left( 4! + 4! - \sqrt{.\overline{4}} \right)$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1137 (4.6) $\dfrac{4! + \sqrt{\sqrt{ .\overline{4} \pmf^{-4}}}}{\sqrt{4}}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1138 (4.8) $4 \times (4! \times \cosh\ln(4!) - 4)$ Steve Wilson, 10/23 Lawrence, KS |
1139 (5.2) $\cosh(\sqrt{4} \times \arcosh (4!)) - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 10/23 Lawrence, KS |
1140 (3.6) $\dfrac{\sqrt{4} + 4^4 \%}{4 \pmf}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
|
| 1141 (5.0) $\cosh(\sqrt{4} \times \arcosh (4!)) - \dfrac{4}{.4}$ Steve Wilson, 10/23 Lawrence, KS |
1142 (5.2) $\cosh(\sqrt{4} \times \arcosh (4!)) - \dfrac{4}{.\overline{4}}$ Steve Wilson, 10/23 Lawrence, KS |
1143 (4.8) $\cosh(\sqrt{4} \times \arcosh (4!)) - 4 - 4$ Steve Wilson, 9/23 Lawrence, KS |
1144 (3.4) $44 \times (4! + \sqrt{4})$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1145 (4.6) $\dfrac{4 + \sqrt{\sqrt{.\overline{4}\%^{-4}}}}{\sqrt{4\%}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1146 (4.6) $\dfrac{4!^4\% - \sqrt{.\overline{4}}}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1147 (4.8) $\cosh \left(\dfrac{4}{\sqrt{4}} \times \arcosh(4!)\right) - 4$ Steve Wilson, 10/23 Lawrence, KS |
1148 (3.4) $\sqrt{4 \times 4!^4} - 4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1149 (3.8) $\dfrac{4}{(4 - .\overline{4}) \pmf} + 4!$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1150 (3.2) $\dfrac{4 + \dfrac{.\overline{4}}{.4}}{.\overline{4}\%}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
|
| 1151 (4.6) $\cosh\left(\dfrac{4+4}{4} \times \arcosh (4!)\right)$ Steve Wilson, 10/23 Lawrence, KS |
1152 (3.2) $(44 + 4) \times 4!$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1153 (4.6) $\cosh\left(\dfrac{4+4}{4} \times \arsinh (4!)\right)$ Steve Wilson, 10/23 Lawrence, KS |
1154 (3.6) $\sqrt{4 \times 4!^4} + \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1155 (4.2) $\dfrac{4! - \dfrac{.4}{.\overline{4}}}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1156 (3.4) $\sqrt{4 \times 4!^4} + 4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1157 (4.8) $\cosh \left(\dfrac{4}{\sqrt{4}} \times \arsinh(4!)\right) + 4$ Steve Wilson, 10/23 Lawrence, KS |
1158 (4.8) $4 \times 4! \times \cosh \ln (4!) + 4$ Steve Wilson, 9/23 Lawrence, KS |
1159 (4.8) $\cosh(\sqrt{4} \times \arcosh (4!)) + 4 + 4$ Steve Wilson, 9/23 Lawrence, KS |
1160 (3.6) $(4! \times 4! + 4) \times \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
|
| 1161 (4.8) $\dfrac{.\overline{4} + (\sqrt{4} - .\overline{4}\%)\%}{4\%\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1162 (5.2) $\cosh(\sqrt{4} \times \arsinh (4!)) + \dfrac{4}{.\overline{4}}$ Steve Wilson, 10/23 Lawrence, KS |
1163 (5.0) $\cosh(\sqrt{4} \times \arsinh (4!)) + \dfrac{4}{.4}$ Steve Wilson, 10/23 Lawrence, KS |
1164 (4.2) $\dfrac{4! - 4!\%}{(\sqrt{4})\%} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1165 (3.8) $\dfrac{4! + 4 - 4\%}{4! \pmf}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1166 (4.2) $\dfrac{4! + 4}{4! \pmf} - \sqrt{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1167 (4.6) $4! \times \left(\left( \sqrt{.\overline{4}\% ^{-4}} \right) \pmf - \sqrt{4} \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1168 (3.8) $\dfrac{4!}{(\sqrt{4})\%} - \sqrt[.4]{4}$ Steve Wilson, 8/09 Raytown, MO |
1169 (4.8) $\cosh(\sqrt{4} \times \arsinh (4!)) + 4 \times 4$ Steve Wilson, 9/23 Lawrence, KS |
1170 (4.2) $\dfrac{(4! + 4! + 4)\%}{.\overline{4} \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1171 (5.2) $\cosh(\sqrt{4} \times \arcosh (4!)) + \dfrac{4}{\sqrt{4\%}}$ Steve Wilson, 10/23 Lawrence, KS |
1172 (3.8) $\dfrac{4!}{(\sqrt{4})\%} - 4! - 4$ Steve Wilson, 8/09 Raytown, MO |
1173 (4.4) $\dfrac{4! - \dfrac{4!\%}{.\overline{4}}}{(\sqrt{4})\%}$ Steve Wilson, 10/09 Raytown, MO |
1174 (4.0) $\dfrac{4! - 4\%}{(\sqrt{4})\%} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1175 (3.8) $\dfrac{4! - \dfrac{\sqrt{4}}{4}}{(\sqrt{4})\%}$ Steve Wilson, 8/09 Raytown, MO |
1176 (3.6) $\sqrt{4 \times 4!^4} + 4!$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1177 (4.2) $\dfrac{4! + (\sqrt{4})\%}{(\sqrt{4})\%} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1178 (3.8) $\dfrac{4! - 44\%}{(\sqrt{4})\%}$ Steve Wilson, 8/09 Raytown, MO |
1179 (4.0) $\dfrac{4! + \dfrac{\sqrt{4}}{4 \pmf}}{.\overline{4}}$ Steve Wilson, 10/09 Raytown, MO |
1180 (3.8) $(4! - .4) \times \dfrac{\sqrt{4}}{4\%}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
|
| 1181 (4.2) $\dfrac{4! - .4 + (\sqrt{4})\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1182 (4.0) $\dfrac{4! - .4 + 4\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1183 (5.0) $\cosh(\sqrt{4} \times \arcosh (4!)) + \sqrt[.4]{4}$ Steve Wilson, 10/23 Lawrence, KS |
1184 (3.6) $\dfrac{4!}{(\sqrt{4})\%} - 4 \times 4$ Steve Wilson, 8/09 Raytown, MO |
1185 (4.2) $\dfrac{ \dfrac{\sqrt{4}}{.\overline{4}} + 4!\%}{4 \pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1186 (4.0) $\dfrac{4! - (4! + 4)\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1187 (4.2) $\dfrac{4! - (4! + \sqrt{4})\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1188 (4.0) $(4! - 4!\%) \times \dfrac{\sqrt{4}}{4\%}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1189 (4.2) $\dfrac{4! - (4! - \sqrt{4})\%}{(\sqrt{4})\%}$ Steve Wilson, 10/09 Raytown, MO |
1190 (3.8) $\dfrac{4! + 4! - .4}{4\%}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
|
| 1191 (4.0) $\dfrac{4!}{(\sqrt{4})\%} - \dfrac{4}{.\overline{4}}$ Steve Wilson, 5/10 Raytown, MO |
1192 (3.6) $\left(\dfrac{4!}{4\%} - 4 \right) \times \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1193 (5.2) $\cosh(\sqrt{4} \times \arsinh (4!)) + 4\pm \times \antilog 4$ Steve Wilson, 10/23 Lawrence, KS |
1194 (3.8) $\dfrac{4!}{(\sqrt{4})\%} - 4 - \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
1195 (4.0) $\dfrac{4! + 4! - \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1196 (3.6) $4! \times \dfrac{\sqrt{4}}{4\%} - 4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1197 (4.0) $\dfrac{4! + (\sqrt{4})\%}{(\sqrt{4})\%} - 4$ Steve Wilson, 10/09 Raytown, MO |
1198 (3.8) $4! \times \dfrac{\sqrt{4}}{4\%} - \sqrt{4}$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
1199 (3.6) $\dfrac{4!}{(\sqrt{4})\%} - \dfrac44$ Steve Wilson, 8/09 Raytown, MO |
1200 (2.2) $\dfrac{44 + 4}{4\%}$ Dave Jones, 7/07 Coventry, England |
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