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

Integermania!

Dave's Birthday

The digits of the birthday of Integermaniac master Dave Jones are 1, 7, 7, and 8. Create each of the positive integers using one copy of each number, and any standard operations. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.

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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+).

  801 (2.2)
$\dfrac{8}{1\%} + \dfrac77$
Kevin Solecki, 10/08
Olathe, KS
802 (4.0)
$\dfrac{8! + 7!\%}{7!\%} + 1$
Steve Wilson, 8/23
Lawrence, KS
803 (3.8)
$\dfrac{8}{1\%} + \sqrt{\dfrac{7}{.\overline{7}}}$
Steve Wilson, 7/23
Lawrence, KS
804 (2.4)
$\dfrac{7}{.8\%} - 71$
Steve Wilson, 5/10
Raytown, MO
805 (2.4)
$\dfrac{ \dfrac{7}{8\%} - 7}{.1}$
Steve Wilson, 5/10
Raytown, MO
806 (3.6)
$\dfrac{8!}{7!\%} + 7 - 1$
Steve Wilson, 8/23
Lawrence, KS
807 (2.2)
$7 \times \left( \dfrac{8}{7\%} + 1 \right)$
Steve Wilson, 5/10
Raytown, MO
808 (2.2)
$8 \times \left( \dfrac{7}{7\%} + 1 \right)$
Steve Wilson, 6/10
Raytown, MO
809 (2.6)
$\dfrac{8}{1\%} + \dfrac{7}{.\overline{7}}$
Steve Wilson, 6/10
Raytown, MO
810 (2.0)
$817 - 7$
Ed Cockman, 5/07
Pleasant Hill, MO
  811 (4.4)
$\left(\sqrt{\sqrt{(.\overline{1}\%)^{-8}}}\right)\pm + \dfrac77$
Steve Wilson, 8/23
Lawrence, KS
812 (2.8)
$\dfrac{7}{.8\%} - \dfrac{7}{.\overline{1}}$
Steve Wilson, 6/10
Raytown, MO
  814 (2.2)
$\dfrac{8}{1\%} + 7 + 7$
Steve Wilson, 6/10
Raytown, MO
  816 (4.6)
$817 - \cos(7!^\circ)$
Steve Wilson, 7/23
Lawrence, KS
817 (3.6)
$\dfrac{8!}{7!\%} + 17$
Steve Wilson, 8/23
Lawrence, KS
818 (4.6)
$817 + \cos(7!^\circ)$
Steve Wilson, 7/23
Lawrence, KS
819 (2.6)
$\dfrac{7}{.\overline{7}\%} - 81$
Steve Wilson, 6/10
Raytown, MO
820 (2.8)
$\dfrac{ \dfrac{7}{.\overline{7}} - .8}{1\%}$
Steve Wilson, 7/10
Raytown, MO
        824 (2.0)
$817 + 7$
Dave Jones, 8/08
Coventry, England
  826 (2.4)
$7 \times \left( \dfrac{1}{.8\%} - 7 \right)$
Steve Wilson, 7/10
Raytown, MO
  828 (2.6)
$\dfrac{ \dfrac{7}{7\%} - 8}{.\overline{1}}$
Steve Wilson, 7/10
Raytown, MO
   
    832 (3.2)
$\dfrac{7!}{7-1} - 8$
Tami Lawler-Bontrager, 9/07
Overland Park, KS
833 (4.6)
$\dfrac{7!}{8 + \log(1\%)} - 7$
Steve Wilson, 7/23
Lawrence, KS
    836 (4.8)
$\dfrac{7!}{7 - 1} - \ln\sqrt{\exp 8}$
Steve Wilson, 6/23
Lawrence, KS
837 (2.8)
$\dfrac{8-7-7\%}{.\overline{1}\%}$
Steve Wilson, 7/10
Raytown, MO
  839 (4.8)
$\dfrac{7!}{7 - 1} - \cos(8!^\circ)$
Steve Wilson, 7/23
Lawrence, KS
840 (3.2)
$\dfrac{8!}{7\times 7-1}$
Steve Wilson, 12/10
Raytown, MO
  841 (4.8)
$\dfrac{7!}{7 - 1} + \cos(8!^\circ)$
Steve Wilson, 7/23
Lawrence, KS
    844 (2.6)
$7 \times \left( \dfrac{1}{.\overline{7}\%} - 8 \right)$
Steve Wilson, 7/10
Raytown, MO
845 (3.4)
$\dfrac{7!}{7} + \dfrac{1}{8 \pmf}$
Steve Wilson, 12/10
Raytown, MO
846 (2.4)
$\dfrac{87+7}{.\overline{1}}$
Steve Wilson, 10/10
Raytown, MO
847 (2.8)
$\dfrac{7-7\%}{.\overline{81}\%}$
Steve Wilson, 10/10
Raytown, MO
848 (3.2)
$\dfrac{7!}{7-1} + 8$
Steve Wilson, 12/10
Raytown, MO
849 (2.2)
$\dfrac{8}{1\%} + 7 \times 7$
Steve Wilson, 10/10
Raytown, MO
850 (2.2)
$\dfrac{78+7}{.1}$
Steve Wilson, 10/10
Raytown, MO
          855 (2.8)
$\dfrac{7.7-.1}{.\overline{8}\%}$
Steve Wilson, 10/10
Raytown, MO
856 (2.8)
$\dfrac{7-1-.8\%}{.7\%}$
Steve Wilson, 10/10
Raytown, MO
857 (4.4)
$\dfrac{.\overline{7} + 8\% - .\overline{7}\pmf}{1\pmf}$
Steve Wilson, 7/23
Lawrence, KS
858 (2.4)
$\dfrac{7}{.8\%} - 17$
Steve Wilson, 10/10
Raytown, MO
859 (4.4)
$\left(\sqrt{\sqrt{(.\overline{1}\%)^{-8}}}\right)\pm + 7 \times 7$
Steve Wilson, 8/23
Lawrence, KS
 
  861 (4.6)
$\dfrac{7}{8\pmf} + 7 \times \log(1\%)$
Steve Wilson, 7/23
Lawrence, KS
862 (4.8)
$\dfrac{7}{8\pmf} - 7 + \log(1\pmm)$
Steve Wilson, 7/23
Lawrence, KS
863 (2.2)
$\dfrac{87}{.1} - 7$
Steve Wilson, 10/10
Raytown, MO
864 (2.0)
$871 - 7$
Miranda Vose, 11/07
Overland Park, KS
865 (2.6)
$\dfrac{7 - (7+1)\%}{.8\%}$
Steve Wilson, 10/10
Raytown, MO
866 (4.6)
$\dfrac{7}{8\pmf} - 7 + \log(1\%)$
Steve Wilson, 7/23
Lawrence, KS
867 (2.4)
$\dfrac{7}{.8\%} - 7 - 1$
Steve Wilson, 10/10
Raytown, MO
868 (2.4)
$\dfrac{1}{.8\%} \times 7 - 7$
Jacob Smith, 10/07
Leawood, KS
869 (2.4)
$\dfrac{7}{.8\%} - 7 + 1$
Steve Wilson, 10/10
Raytown, MO
870 (3.2)
$\dfrac{8.7}{1^7 \%}$
Steve Wilson, 7/23
Lawrence, KS
  871 (3.6)
$\dfrac{8!}{7!\%} + 71$
Steve Wilson, 8/23
Lawrence, KS
872 (4.6)
$877 + \log(1\% \pm)$
Steve Wilson, 12/10
Raytown, MO
873 (4.6)
$877 + \log(1\%\%)$
Steve Wilson, 12/10
Raytown, MO
874 (2.8)
$\dfrac{7.\overline{7}}{.\overline{8}\%} - 1$
Steve Wilson, 10/10
Raytown, MO
875 (2.6)
$\dfrac{ \dfrac{7}{.\overline{1}} + 7}{8\%}$
Steve Wilson, 10/10
Raytown, MO
876 (2.0)
$877 - 1$
Ashley Barboza, 3/07
Overland Park, KS
877 (2.0)
$877 \times 1$
Melissa Mitchell, 10/07
Kansas City, KS
878 (2.0)
$877 + 1$
Ed Cockman, 5/07
Pleasant Hill, MO
879 (4.4)
$877 - \log(1\%)$
Steve Wilson, 12/10
Raytown, MO
880 (4.4)
$877 - \log(1\pm)$
Steve Wilson, 12/10
Raytown, MO
  881 (2.4)
$\dfrac{7}{.8\%} + 7 - 1$
Steve Wilson, 10/10
Raytown, MO
882 (2.0)
$18 \times 7 \times 7$
Dave Jones, 8/08
Coventry, England
883 (2.4)
$\dfrac{7}{.8\%} + 7 + 1$
Steve Wilson, 10/10
Raytown, MO
884 (4.6)
$\dfrac{7}{8\pmf} + 7 - \log(1\%)$
Steve Wilson, 7/23
Lawrence, KS
885 (2.6)
$\dfrac{7 + (7+1)\%}{.8\%}$
Steve Wilson, 10/10
Raytown, MO
886 (4.8)
$\dfrac{7}{8\pmf} + 7 - \log(1\%\%)$
Steve Wilson, 7/23
Lawrence, KS
887 (4.4)
$\left(\sqrt{\sqrt{(.\overline{1}\%)^{-8}}}\right)\pm + 77$
Steve Wilson, 8/23
Lawrence, KS
888 (2.8)
$\left( \dfrac{7}{.7\%} - 1 \right) \times .\overline{8}$
Steve Wilson, 10/10
Raytown, MO
889 (4.6)
$\dfrac{7}{8\pmf} - 7 \times \log(1\%)$
Steve Wilson, 7/23
Lawrence, KS
890 (2.8)
$\dfrac{8 + \dfrac{.7}{.\overline{7}}}{1\%}$
Steve Wilson, 10/10
Raytown, MO
  891 (2.6)
$\dfrac{7}{.\overline{7}\%} - 8 - 1$
Steve Wilson, 10/10
Raytown, MO
892 (2.4)
$\dfrac{7}{.8\%} + 17$
Steve Wilson, 10/10
Raytown, MO
893 (2.6)
$\dfrac{7}{.\overline{7}\%} - 8 + 1$
Steve Wilson, 10/10
Raytown, MO
894 (4.0)
$\dfrac{7}{.\overline{7}\%} - \left( \sqrt{8+1} \right)!$
Steve Wilson, 12/10
Raytown, MO
895 (5.0)
$\dfrac{7}{.\overline{7}\%} - 8 - \log(1\pm)$
Steve Wilson, 12/10
Raytown, MO
  897 (3.8)
$\dfrac{7}{.\overline{7}\%} - \sqrt{8+1}$
Steve Wilson, 12/10
Raytown, MO
  899 (3.6)
$\dfrac{7}{.\overline{7}\%} - 1^8$
Steve Wilson, 12/10
Raytown, MO
900 (2.2)
$\dfrac{7}{7\%} \times (8 + 1)$
Carolyn Neptune, 6/07
Prairie Village, KS
  901 (3.6)
$\dfrac{7}{.\overline{7}\%} + 1^8$
Steve Wilson, 12/10
Raytown, MO
  903 (3.8)
$\dfrac{7}{.\overline{7}\%} + \sqrt{8+1}$
Steve Wilson, 12/10
Raytown, MO
    906 (4.0)
$\dfrac{7}{.\overline{7}\%} + \left( \sqrt{8+1} \right)!$
Steve Wilson, 12/10
Raytown, MO
907 (2.6)
$\dfrac{7}{.\overline{7}\%} + 8 - 1$
Steve Wilson, 11/10
Raytown, MO
908 (2.6)
$\dfrac{7}{.\overline{7}\%} + 8 \times 1$
Steve Wilson, 11/10
Raytown, MO
909 (2.6)
$\dfrac{7}{.\overline{7}\%} + 8 + 1$
Steve Wilson, 11/10
Raytown, MO
 
      913 (3.8)
$.1^{-7}\%\% - 87$
Steve Wilson, 8/23
Lawrence, KS
        918 (2.6)
$\dfrac{7}{.\overline{7}\%} + 18$
Steve Wilson, 11/10
Raytown, MO
919 (2.4)
$\dfrac{7}{.7\%} - 81$
Steve Wilson, 11/10
Raytown, MO
920 (2.4)
$\dfrac{ \dfrac{7}{7\%} - 8}{.1}$
Steve Wilson, 11/10
Raytown, MO
    922 (3.8)
$.1^{-7}\%\% - 78$
Steve Wilson, 8/23
Lawrence, KS
923 (3.8)
$.1^{-8}\%\pm - 77$
Steve Wilson, 8/23
Lawrence, KS
924 (2.4)
$7 \times \left( \dfrac{1}{.8\%} + 7 \right)$
Steve Wilson, 11/10
Raytown, MO
      928 (2.8)
$\dfrac{7}{.7\%} - \dfrac{8}{.\overline{1}}$
Steve Wilson, 11/10
Raytown, MO
  930 (2.6)
$\dfrac{8-7-7\%}{.1\%}$
Steve Wilson, 11/10
Raytown, MO
                938 (2.8)
$\dfrac{7}{.8\%} + \dfrac{7}{.\overline{1}}$
Steve Wilson, 11/10
Raytown, MO
  940 (2.2)
$\dfrac{87+7}{.1}$
Steve Wilson, 11/10
Raytown, MO
        944 (2.4)
$7 \times \left( \dfrac{1}{.7\%} - 8 \right)$
Steve Wilson, 12/10
Raytown, MO
945 (2.4)
$\dfrac{ \dfrac{7}{8\%} + 7}{.1}$
Steve Wilson, 12/10
Raytown, MO
946 (2.4)
$\dfrac{7}{.8\%} + 71$
Steve Wilson, 12/10
Raytown, MO
      950 (2.2)
$\dfrac{77-1}{8\%}$
Steve Wilson, 12/10
Raytown, MO
  951 (3.8)
$.1^{-8}\%\pm - 7 \times 7$
Steve Wilson, 8/23
Lawrence, KS
952 (2.0)
$17 \times 7 \times 8$
Travis Meek, 10/07
Lenexa, KS
      956 (2.6)
$7 \times \left( \dfrac{1}{.\overline{7}} + 8 \right)$
Steve Wilson, 12/10
Raytown, MO
      960 (3.2)
$\dfrac{8!}{7 \times (7-1)}$
Steve Wilson, 12/10
Raytown, MO
      963 (2.8)
$\dfrac{8-7+7%}{.\overline{1}\%}$
Steve Wilson, 12/10
Raytown, MO
             
    972 (2.6)
$\dfrac{ \dfrac{7}{7\%} + 8}{.\overline{1}}$
Steve Wilson, 12/10
Raytown, MO
973 (2.8)
$\left( \dfrac{7}{8\%\%} + 7 \right) \times .\overline{1}$
Steve Wilson, 12/10
Raytown, MO
  975 (2.2)
$\dfrac{77+1}{8\%}$
Steve Wilson, 12/10
Raytown, MO
        980 (2.8)
$\dfrac{7}{.\overline{7}\%} + \dfrac{8}{.1}$
Steve Wilson, 12/10
Raytown, MO
  981 (2.6)
$\dfrac{7}{.\overline{7}\%} + 81$
Paolo Pellegrini, 9/09
Martina Franca, Italy
982 (2.4)
$\dfrac{7}{.7\%} - 18$
Paolo Pellegrini, 9/09
Martina Franca, Italy
    985 (3.8)
$.1^{-7}\%\% - 7 - 8$
Paolo Pellegrini, 9/09
Martina Franca, Italy
986 (3.8)
$.1^{-8}\%\pm - 7 - 7$
Steve Wilson, 8/23
Lawrence, KS
  988 (4.8)
$\dfrac{7 \times 7}{\ln\sqrt{\exp (.1)}} + 8$
Steve Wilson, 8/23
Lawrence, KS
  990 (2.6)
$\dfrac{7 - (8-1)\%}{.7\%}$
Steve Wilson, 12/10
Raytown, MO
  991 (2.4)
$\dfrac{7}{.7\%} - 8 - 1$
Paolo Pellegrini, 7/09
Martina Franca, Italy
992 (2.4)
$\dfrac{7}{.7\%} - 8 \times 1$
Paolo Pellegrini, 7/09
Martina Franca, Italy
993 (2.4)
$\dfrac{7}{.7\%} - 8 + 1$
Paolo Pellegrini, 7/09
Martina Franca, Italy
994 (3.4)
$\dfrac{.7}{.\overline{1}\%} \times (.8 + .\overline{7})$
Paolo Pellegrini, 7/09
Martina Franca, Italy
  996 (3.6)
$\dfrac{8+7-7! \pmf}{1\%}$
Paolo Pellegrini, 7/09
Martina Franca, Italy
997 (3.4)
$\dfrac{7}{7 \pmf} - \sqrt{8+1}$
Paolo Pellegrini, 9/09
Martina Franca, Italy
  999 (2.8)
$\dfrac{8-1-.7\%}{.7\%}$
Paolo Pellegrini, 9/09
Martina Franca, Italy
1000 (2.8)
$\dfrac{8}{.7\%} - \dfrac{1}{.7\%}$
Ralph Jeffords, 12/07
Centreville, VA
  1001 (2.8)
$\dfrac{8 - 1 + .7\%}{.7\%}$
Steve Wilson, 4/11
Raytown, MO
          1007 (2.4)
$\dfrac{7 + 1}{.8\%} + 7$
Steve Wilson, 4/11
Raytown, MO
1008 (2.4)
$\dfrac{7}{.7\%} + 8 \times 1$
Steve Wilson, 4/11
Raytown, MO
1009 (2.4)
$\dfrac{7}{.7\%} + 8 + 1$
Steve Wilson, 4/11
Raytown, MO
1010 (2.6)
$\dfrac{8 - 1 + 7\%}{.7\%}$
Steve Wilson, 4/11
Raytown, MO
        1014 (3.8)
$.1^{-8}\%\pm + 7 + 7$
Steve Wilson, 8/23
Lawrence, KS
1015 (3.8)
$.1^{-7}\%\% + 8 + 7$
Steve Wilson, 8/23
Lawrence, KS
1016 (3.6)
$(7! + 7!) \times .1 + 8$
Steve Wilson, 8/23
Lawrence, KS
  1018 (2.4)
$\dfrac{7}{.7\%} + 18$
Steve Wilson, 4/11
Raytown, MO
   
          1025 (3.2)
$\dfrac{.1}{.\overline{8}\%\%} - \dfrac{7}{7\%}$
Steve Wilson, 8/23
Lawrence, KS
        1030 (2.8)
$\dfrac{8}{.\overline{7}\%} + \dfrac{1}{.7}$
Steve Wilson, 4/11
Raytown, MO
                1048 (3.0)
$\dfrac{.1}{.\overline{8}\%\%} - 77$
Steve Wilson, 8/23
Lawrence, KS
1049 (3.8)
$.1^{-8}\%\pm + 7 \times 7$
Steve Wilson, 8/23
Lawrence, KS
1050 (2.2)
$(7 + 8) \times \dfrac{7}{.1}$
Steve Wilson, 4/11
Raytown, MO
            1056 (2.4)
$7 \times \left( \dfrac{1}{.7\%} + 8 \right)$
Steve Wilson, 4/11
Raytown, MO
       
          1065 (2.0)
$71 \times (8 + 7)$
Dave Jones, 8/08
Coventry, England
        1070 (2.6)
$\dfrac{8 - 7 + 7\%}{.1\%}$
Steve Wilson, 4/11
Raytown, MO
    1072 (2.8)
$\dfrac{7}{.7\%} + \dfrac{8}{.\overline{1}}$
Steve Wilson, 4/11
Raytown, MO
    1075 (2.6)
$\dfrac{1 - (7+7)\%}{8\%\%}$
Steve Wilson, 4/11
Raytown, MO
1076 (3.0)
$\dfrac{.1}{.\overline{8}\%\%} - 7 \times 7$
Steve Wilson, 8/23
Lawrence, KS
1077 (3.8)
$.1^{-8}\%\pm + 77$
Steve Wilson, 8/23
Lawrence, KS
1078 (3.8)
$.1^{-7}\%\% + 78$
Steve Wilson, 8/23
Lawrence, KS
  1080 (2.4)
$\dfrac{ \dfrac{7}{7\%} + 8}{.1}$
Steve Wilson, 4/11
Raytown, MO
  1081 (2.4)
$\dfrac{7}{.7\%} + 81$
Steve Wilson, 4/11
Raytown, MO
          1087 (3.8)
$.1^{-7}\%\% + 87$
Steve Wilson, 8/23
Lawrence, KS
     
                    1100 (2.2)
$\dfrac{77}{(8-1)\%}$
Steve Wilson, 4/11
Raytown, MO
  1111 (3.0)
$\dfrac{.1}{.\overline{8}\%\%} - 7 - 7$
Steve Wilson, 8/23
Lawrence, KS
1112 (2.8)
$\left( \dfrac{7}{7\%\%} + 8 \right) \times .\overline{1}$
Steve Wilson, 4/11
Raytown, MO
    1115 (3.2)
$\dfrac{.1}{.\overline{8}\%\%} - \dfrac{7}{.7}$
Steve Wilson, 8/23
Lawrence, KS
    1118 (2.4)
$\dfrac{8}{.7\overline{1}\%} - 7$
Steve Wilson, 4/11
Raytown, MO
  1120 (2.2)
$(7 + 7) \times \dfrac{8}{.1}$
Steve Wilson, 8/23
Lawrence, KS
        1124 (2.8)
$\dfrac{7}{.7 \times .\overline{8}\%} - 1$
Steve Wilson, 8/23
Lawrence, KS
1125 (2.6)
$\dfrac{1 - \dfrac{.7}{7}}{8\%\%}$
Steve Wilson, 8/23
Lawrence, KS
1126 (2.8)
$\dfrac{7}{.7 \times .\overline{8}\%} + 1$
Steve Wilson, 8/23
Lawrence, KS
       
    1132 (2.6)
$\dfrac{8}{.7\overline{1}\%} + 7$
Steve Wilson, 8/23
Lawrence, KS
  1134 (2.0)
$81 \times (7 + 7)$
Dave Jones, 8/08
Coventry, England
1135 (3.2)
$\dfrac{.1}{.\overline{8}\%\%} + \dfrac{7}{.7}$
Steve Wilson, 8/23
Lawrence, KS
1136 (2.8)
$\dfrac{8 + .1\%}{.7\%} - 7$
Steve Wilson, 8/23
Lawrence, KS
    1139 (3.0)
$\dfrac{.1}{.\overline{8}\%\%} + 7 + 7$
Steve Wilson, 8/23
Lawrence, KS
 
      1143 (2.4)
$\dfrac{8}{.7\%} + \dfrac17$
Steve Wilson, 8/23
Lawrence, KS
1144 (2.8)
$\dfrac{7 + 1 + .8\%}{.7\%}$
Steve Wilson, 8/23
Lawrence, KS
          1150 (2.6)
$\dfrac{1}{8\%\%} - \dfrac{7}{7\%}$
Steve Wilson, 8/23
Lawrence, KS
      1153 (2.6)
$\dfrac{8 + 7.1\%}{.7\%}$
Steve Wilson, 8/23
Lawrence, KS
             
      1173 (2.4)
$\dfrac{1}{8\%\%} - 77$
Steve Wilson, 8/23
Lawrence, KS
1174 (3.0)
$\dfrac{.1}{.\overline{8}\%\%} + 7 \times 7$
Steve Wilson, 8/23
Lawrence, KS
          1180 (2.8)
$\dfrac{7 + 8\%}{(.7 - .1)\%}$
Steve Wilson, 8/23
Lawrence, KS

Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201+).