$\def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \DeclareMathOperator{\antilog}{antilog} \DeclareMathOperator{\arcsec}{arcsec} \DeclareMathOperator{\arsinh}{arsinh} \DeclareMathOperator{\arcosh}{arcosh}$

## Integermania!

#### Four Fours

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.

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