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

Integermania!

Ramanujan

Srinivasa Ramanujan (1887-1920) was a largely self-taught mathematician from India, some of whose results still inspire research today. Once, when ill in the hospital in England, he was visited by fellow mathematician G. H. Hardy (1877-1947), who later wrote:

I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways."

Using one copy each of the digits 1, 7, 2, and 9, and any standard operations, create each of the positive integers. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.

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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 (1201-4000), Page 11 (4001+).

                     
            4096 (3.0)
$2^{19-7}$
Hyun Cheong, 3/14
Overland Park, KS
       
                    4160 (3.4)
$\dfrac{92}{1\%} - 7!$
Jonathan Frank, 6/22
Rye, NY
                    4340 (3.4)
$(9 - 2)! - \dfrac{7}{1\%}$
Jonathan Frank, 6/22
Rye, NY
                  4459 (3.0)
$7^2 \times 91$
Sierra Henricks, 1/14
Olathe, KS
 
                    4500 (2.2)
$\dfrac{9}{1\%} \times (7 - 2)$
Jonathan Frank, 9/21
Rye, NY
      4543 (2.2)
$\dfrac{91}{2\%} - 7$
David Anderson, 2/14
Olathe, KS
             
              4557 (2.2)
$\dfrac{91}{2\%} + 7$
David Anderson, 2/14
Olathe, KS
     
          4585 (2.2)
$\dfrac{917}{.2}$
Jonathan Frank, 6/22
Rye, NY
         
                  4679 (3.2)
$7! - 19^2$
Susan Vongphrachanh, 4/17
Kansas City, KS
 
                  4849 (2.2)
$\dfrac{97}{2\%} - 1$
David Anderson, 1/14
Olathe, KS
4850 (2.2)
$\dfrac{97}{2\%} \times 1$
David Anderson, 1/14
Olathe, KS
  4851 (2.2)
$\dfrac{97}{2\%} + 1$
Alyssa Trembly, 1/14
Spring Hill, KS
      4855 (2.2)
$\dfrac{971}{.2}$
Jonathan Frank, 6/22
Rye, NY
         
  4911 (3.2)
$7! - 129$
Gregory Bayer, 11/19
Sydney, NSW
                 
                  4969 (3.2)
$(9 - 2)! - 71$
Gregory Bayer, 7/20
Sydney, NSW
 
  5021 (3.2)
$7! - 9 \times 2 - 1$
Jonathan Frank, 10/21
Rye, NY
5022 (3.2)
$7! - 9 \times 2 \times 1$
Jonathan Frank, 10/21
Rye, NY
5023 (3.2)
$(9 - 2)! - 17$
Gregory Bayer, 7/20
Sydney, NSW
             
    5032 (3.0)
$71^2 - 9$
Sierra Henricks, 3/14
Olathe, KS
5033 (3.2)
$(9 - 2)! - \dfrac71$
Gregory Bayer, 7/20
Sydney, NSW
5034 (3.2)
$1 + 7! + 2 - 9$
Adam Shafton, 4/16
Overland Park, KS
      5038 (3.2)
$71^2 - \sqrt{9}$
Jonathan Frank, 10/21
Rye, NY
   
        5044 (3.2)
$71^2 + \sqrt{9}$
Jonathan Frank, 10/21
Rye, NY
  5046 (3.2)
$(9 - 2)! + 7 - 1$
Gregory Bayer, 7/20
Sydney, NSW
5047 (3.2)
$7! + 9 - 2 \times 1$
Agnieszka Hajnas, 5/13
Kansas City, MO
    5050 (3.0)
$71^2 + 9$
Sierra Henricks, 2/14
Olathe, KS
  5121 (3.2)
$7! + 1 \times 9^2$
Hannah Maleki, 9/16
Overland Park, KS
                 
      5183 (3.4)
$\left( \dfrac{9!}{7!} \right)^2 - 1$
Jonathan Frank, 7/21
Rye, NY
5184 (3.4)
$\left( \dfrac{9!}{7!} \right)^2 \times 1$
Jonathan Frank, 7/21
Rye, NY
5185 (3.4)
$\left( \dfrac{9!}{7!} \right)^2 + 1$
Jonathan Frank, 7/21
Rye, NY
         
                    5670 (3.2)
$\dfrac{9!}{(1 + 7)^2}$
Greg Bayer, 8/19
Sydney, New South Wales
  5751 (3.0)
$9^2 \times 71$
Kendra Stindt, 11/13
Topeka, KS
                5760 (3.4)
$\dfrac{(9 - 1)!}{\sqrt{7^2}}$
Gregory Bayer, 5/20
Sydney, New South Wales
  5961 (3.2)
$7! + 921$
Susan Vongphrachanh, 4/17
Kansas City, KS
                 
        6084 (3.0)
$(79 - 1)^2$
Gregory Bayer, 3/22
Sydney, New South Wales
           
                    6240 (3.0)
$79^2 - 1$
Sierra Henricks, 2/14
Olathe, KS
  6241 (3.0)
$79^2 \times 1$
Jonathan Frank, 12/21
Rye, NY
6242 (3.0)
$79^2 + 1$
Sierra Henricks, 3/14
Olathe, KS
               
        6384 (2.0)
$912 \times 7$
Bing Guo, 11/13
Lawrence, KS
           
                    6400 (3.0)
$(79 + 1)^2$
Gregory Bayer, 3/22
Sydney, New South Wales
                6408 (2.0)
$712 \times 9$
Kendra Stindt, 11/13
Topeka, KS
   
              6447 (2.0)
$921 \times 7$
Bing Guo, 11/13
Lawrence, KS
     
                    6480 (2.2)
$72 \times \dfrac{9}{.1}$
D.J. Demjanik, 9/13
Shawnee, KS
                6488 (3.2)
$\dfrac{7}{1\pmf} - 2^9$
Jonathan Frank, 6/22
Rye, NY
6489 (2.0)
$721 \times 9$
Bing Guo, 10/13
Lawrence, KS
 
    6532 (2.0)
$92 \times 71$
Jon Giuliano, 4/13
Atlanta, GA
               
    6552 (2.0)
$72 \times 91$
Kendra Stindt, 8/13
Topeka, KS
               
  6561 (3.0)
$9^{7-2-1}$
Chryspus Muema, 5/16
Olathe, KS
                 
                    6650 (2.2)
$19 \times \dfrac{7}{2\%}$
Alyssa Trembly, 2/14
Spring Hill, KS
                6908 (2.4)
$\dfrac{7}{.1\%} - 92$
Jonathan Frank, 6/22
Rye, NY
   
                  6919 (3.2)
$\dfrac{7}{1\pmf} - 9^2$
Jonathan Frank, 6/22
Rye, NY
 
            6936 (3.6)
$\dfrac{7}{1\pmf} - 2^{(\sqrt{9})!}$
Jonathan Frank, 6/22
Rye, NY
       
        6964 (3.6)
$\dfrac{7}{1\pmf} - (\sqrt{9})!^2$
Jonathan Frank, 6/22
Rye, NY
           
  6971 (2.4)
$\dfrac{7}{.1\%} - 29$
Jonathan Frank, 6/22
Rye, NY
                 
    6982 (2.4)
$\dfrac{7}{.1\%} - 2 \times 9$
Jonathan Frank, 6/22
Rye, NY
          6988 (3.6)
$\dfrac{7}{1\pmf} - 2 \times (\sqrt{9})!$
Jonathan Frank, 6/22
Rye, NY
6989 (2.4)
$\dfrac{7}{.1\%} - 2 - 9$
Jonathan Frank, 6/22
Rye, NY
 
  6991 (3.4)
$\dfrac{7}{1\pmf} - \sqrt{9^2}$
Jonathan Frank, 6/22
Rye, NY
6992 (3.4)
$\dfrac{7}{1\pmf} - 2^{\sqrt{9}}$
Jonathan Frank, 6/22
Rye, NY
6993 (2.4)
$\dfrac{7}{.1\%} + 2 - 9$
Jonathan Frank, 6/22
Rye, NY
6994 (3.4)
$\dfrac{7}{1\pmf} - 2 \times \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
6995 (3.4)
$\dfrac{7}{1\pmf} - 2 - \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
6996 (3.6)
$\dfrac{7}{1\pmf} + 2 - (\sqrt{9})!$
Jonathan Frank, 6/22
Rye, NY
    6999 (3.4)
$\dfrac{7}{1\pmf} + 2 - \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
 
  7001 (3.4)
$\dfrac{7}{1\pmf} - 2 + \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
    7004 (3.6)
$\dfrac{7}{1\pmf} - 2 + (\sqrt{9})!$
Jonathan Frank, 6/22
Rye, NY
7005 (3.4)
$\dfrac{7}{1\pmf} + 2 + \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
7006 (3.4)
$\dfrac{7}{1\pmf} + 2 \times \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
7007 (2.4)
$\dfrac{7}{.1\%} - 2 + 9$
Jonathan Frank, 6/22
Rye, NY
7008 (3.4)
$\dfrac{7}{1\pmf} + 2^{\sqrt{9}}$
Jonathan Frank, 6/22
Rye, NY
7009 (3.4)
$\dfrac{7}{1\pmf} + \sqrt{9^2}$
Jonathan Frank, 6/22
Rye, NY
 
  7011 (2.4)
$\dfrac{7}{.1\%} + 2 + 9$
Jonathan Frank, 6/22
Rye, NY
7012 (3.6)
$\dfrac{7}{1\pmf} + 2 \times (\sqrt{9})!$
Jonathan Frank, 6/22
Rye, NY
          7018 (2.4)
$\dfrac{7}{.1\%} + 2 \times 9$
Jonathan Frank, 6/22
Rye, NY
   
                  7029 (2.4)
$\dfrac{7}{.1\%} + 29$
Jonathan Frank, 6/22
Rye, NY
 
  7031 (3.4)
$\dfrac{2}{1\pmf} + 7! - 9$
Jonathan Frank, 6/22
Rye, NY
    7034 (3.8)
$\dfrac{2}{1\pmf} + 7! - (\sqrt{9})!$
Jonathan Frank, 6/22
Rye, NY
  7036 (3.6)
$\dfrac{7}{1\pmf} + (\sqrt{9})!^2$
Jonathan Frank, 6/22
Rye, NY
7037 (3.6)
$\dfrac{2}{1\pmf} + 7! - \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
     
      7043 (3.6)
$\dfrac{2}{1\pmf} + 7! + \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
    7046 (3.8)
$\dfrac{2}{1\pmf} + 7! + (\sqrt{9})!$
Jonathan Frank, 6/22
Rye, NY
    7049 (3.4)
$\dfrac{2}{1\pmf} + 7! + 9$
Jonathan Frank, 6/22
Rye, NY
 
            7056 (3.0)
$(91 - 7)^2$
Gregory Bayer, 3/22
Sydney, New South Wales
       
        7064 (3.6)
$\dfrac{7}{1\pmf} + 2^{(\sqrt{9})!}$
Jonathan Frank, 6/22
Rye, NY
           
  7081 (3.2)
$\dfrac{7}{1\pmf} + 9^2$
Jonathan Frank, 6/22
Rye, NY
                 
    7092 (2.4)
$\dfrac{7}{.1\%} + 92$
Jonathan Frank, 6/22
Rye, NY
               
                7128 (2.4)
$\dfrac{792}{.\overline{1}}$
Jonathan Frank, 6/22
Rye, NY
7129 (2.0)
$7129$
Sara Fridovich-Keil, 7/13
Decatur, GA
 
  7191 (2.2)
$\dfrac{72}{1\%} - 9$
Jonathan Frank, 6/22
Rye, NY
7192 (2.0)
$7192$
Sara Fridovich-Keil, 6/13
Decatur, GA
  7194 (3.6)
$\dfrac{72}{1\%} - (\sqrt{9})!$
Jonathan Frank, 6/22
Rye, NY
    7197 (3.4)
$\dfrac{72}{1\%} - \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
     
      7203 (3.4)
$\dfrac{72}{1\%} + \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
    7206 (3.6)
$\dfrac{72}{1\%} + (\sqrt{9})!$
Jonathan Frank, 6/22
Rye, NY
    7209 (2.2)
$\dfrac{72}{1\%} + 9$
Jonathan Frank, 6/22
Rye, NY
 
                  7219 (2.0)
$7219$
Sara Fridovich-Keil, 6/13
Decatur, GA
 
                    7290 (2.2)
$\dfrac{729}{.1}$
Jonathan Frank, 6/22
Rye, NY
  7291 (2.0)
$7291$
Sara Fridovich-Keil, 5/13
Decatur, GA
                 
    7512 (3.2)
$\dfrac{7}{1\pmf} + 2^9$
Jonathan Frank, 6/22
Rye, NY
               
                    7650 (2.4)
$\dfrac{17}{2\%} \times 9$
Jonathan Frank, 6/22
Rye, NY
            7776 (3.2)
$(7 - 1)^{\sqrt{9} + 2}$
Gregory Bayer, 11/20
Sydney, NSW
       
                7898 (2.2)
$\dfrac{79}{1\%} - 2$
Sierra Henricks, 4/14
Olathe, KS
   
    7902 (2.2)
$\dfrac{79}{1\%} + 2$
Alyssa Trembly, 1/14
Spring Hill, KS
               
    7912 (2.0)
$7912$
Sara Fridovich-Keil, 5/13
Decatur, GA
              7920 (2.2)
$\dfrac{792}{.1}$
Jonathan Frank, 6/22
Rye, NY
  7921 (2.0)
$7921$
Sara Fridovich-Keil, 5/13
Decatur, GA
                 
                    8100 (2.2)
$\dfrac{9}{1\%} \times (7 + 2)$
Jonathan Frank, 9/21
Rye, NY
        8274 (3.0)
$91^2 - 7$
Lynne Erwin, 6/16
Overland Park, KS
           
                8288 (3.0)
$91^2 + 7$
Lynne Erwin, 6/16
Overland Park, KS
   
      8343 (2.4)
$\dfrac{927}{.\overline{1}}$
Jonathan Frank, 6/22
Rye, NY
             
        8704 (3.0)
$2^9 \times 17$
Alondra Aviles Gallegos, 2/17
Kansas City, KS
           
                8748 (2.4)
$\dfrac{972}{.\overline{1}}$
Jonathan Frank, 6/22
Rye, NY
   
              9127 (2.0)
$9127$
Jon Giuliano, 4/13
Atlanta, GA
     
      9193 (2.2)
$\dfrac{92}{1\%} - 7$
David Anderson, 1/14
Olathe, KS
             
              9207 (2.2)
$\dfrac{92}{1\%} + 7$
Alyssa Trembly, 1/14
Spring Hill, KS
     
            9216 (3.0)
$(97 - 1)^2$
Gregory Bayer, 3/22
Sydney, New South Wales
       
                    9270 (2.2)
$\dfrac{927}{.1}$
Deborah Kangas, 1/14
Lenexa, KS
  9271 (2.0)
$9271$
Jon Giuliano, 4/13
Atlanta, GA
                 
                9408 (3.0)
$97^2 - 1$
Sierra Henricks, 2/14
Olathe, KS
9409 (3.0)
$97^2 \times 1$
Vamsi, 9/14
Visakhapatnam, India
9410 (3.0)
$97^2 + 1$
Sierra Henricks, 3/14
Olathe, KS
                    9590 (3.4)
$\dfrac{91}{2\%} + 7!$
Jonathan Frank, 6/22
Rye, NY
        9604 (3.0)
$(91 + 7)^2$
Gregory Bayer, 3/22
Sydney, New South Wales
           
                9698 (2.2)
$\dfrac{97}{1\%} - 2$
Jonathan Frank, 6/22
Rye, NY
   
    9702 (2.2)
$\dfrac{97}{1\%} + 2$
Alyssa Trembly, 1/14
Spring Hill, KS
               
    9712 (2.0)
$9712$
Jon Giuliano, 4/13
Atlanta, GA
              9720 (2.2)
$\dfrac{972}{.1}$
Margaret Wilson, 4/13
Atlanta, GA
  9721 (2.0)
$9721$
Jon Giuliano, 4/13
Atlanta, GA
                 
                  10089 (3.2)
$7! \times 2 + 9 \times 1$
Chryspus Muema, 4/16
Olathe, KS
 
                    10650 (3.4)
$\dfrac{71}{2\%} \times \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
                    12040 (3.4)
$\dfrac{7}{1\pmf} + (9 - 2)!$
Jonathan Frank, 6/22
Rye, NY
                    12600 (2.2)
$\dfrac{9 \times 2 \times 7}{1\%}$
Jonathan Frank, 11/21
Rye, NY
                    14240 (3.4)
$\dfrac{92}{1\%} + 7!$
Jonathan Frank, 6/22
Rye, NY
      15123 (3.2)
$71^2 \times \sqrt{9}$
Hannah Maleki, 11/16
Overland Park, KS
             
                    15800 (2.2)
$\dfrac{79}{1\%} \times 2$
Jonathan Frank, 6/22
Rye, NY
            16806 (3.2)
$7^{\sqrt{9} + 2} - 1$
Jonathan Frank, 11/21
Rye, NY
16807 (3.2)
$7^{\sqrt{9} + 2} \times 1$
Gregory Bayer, 11/20
Sydney, NSW
16808 (3.2)
$7^{\sqrt{9} + 2} + 1$
Gregory Bayer, 11/20
Sydney, NSW
   
                    19400 (2.2)
$\dfrac{97}{1\%} \times 2$
Jonathan Frank, 6/22
Rye, NY
      19683 (2.0)
$\left( \dfrac{21}{7} \right)^9$
Julia B., 4/13
New York, NY
             
                    20300 (2.2)
$29 \times \dfrac{7}{1\%}$
Alyssa Trembly, 2/14
Spring Hill, KS
                    21300 (3.6)
$\dfrac{71}{2\%} \times (\sqrt{9})!$
Jonathan Frank, 6/22
Rye, NY
                    21600 (3.4)
$\dfrac{72}{1\%} \times \sqrt{9}$
Jonathan Frank, 6/22
Rye, NY
                  22679 (3.2)
$7! \times \dfrac92 - 1$
Parker Thomsen, 5/15
Lenexa, KS
22680 (3.2)
$\dfrac{9!}{(7 + 1) \times 2}$
Jonathan Frank, 3/21
Rye, NY
  22681 (3.2)
$7! \times \dfrac92 + 1$
Parker Thomsen, 5/15
Lenexa, KS
                 
                  23409 (3.0)
$(17 \times 9)^2$
Kashmira Sayani, 1/17
Overland Park, KS
 
    24192 (3.2)
$\dfrac{9!}{7 \times 2 + 1}$
Jonathan Frank, 3/21
Rye, NY
               
                    24300 (2.2)
$\dfrac{27}{1\%} \times 9$
Jonathan Frank, 6/22
Rye, NY
                  25919 (3.2)
$\dfrac{9!}{7 \times 2} - 1$
Aaron Parsons, 8/16
Pittsville, MD
25920 (3.2)
$\dfrac{9!}{7 \times 2 \times 1}$
Jonathan Frank, 3/21
Rye, NY
  25921 (3.2)
$\dfrac{9!}{7 \times 2} + 1$
Aaron Parsons, 8/16
Pittsville, MD
                 
            30246 (3.4)
$71^2 \times (\sqrt{9})!$
Jonathan Frank, 6/22
Rye, NY
       
                    31850 (2.2)
$\dfrac{91}{2\%} \times 7$
David Anderson, 2/14
Olathe, KS
                    31950 (2.2)
$71 \times \dfrac{9}{2\%}$
Alyssa Trembly, 2/14
Spring Hill, KS
  32041 (3.0)
$179^2$
Justin Keck, 3/17
Lawrence, KS
                 
                32768 (3.0)
$2^{9+7-1}$
Jonathan Frank, 4/21
Rye, NY
   
                36288 (3.2)
$\dfrac{9!}{7 + 2 + 1}$
Jonathan Frank, 3/21
Rye, NY
   
                  38809 (3.0)
$197^2$
Justin Keck, 3/17
Lawrence, KS
 
    40192 (3.2)
$(9 - 1)! - 2^7$
Gregory Bayer, 4/22
Sydney, NSW
               
                40248 (3.2)
$(9 - 1)! - 72$
Gregory Bayer, 4/22
Sydney, NSW
   
  40271 (3.2)
$(9 - 1)! - 7^2$
Gregory Bayer, 7/22
Sydney, NSW
                 
      40293 (3.2)
$(9 - 1)! - 27$
Gregory Bayer, 4/22
Sydney, NSW
             
  40311 (3.2)
$(9 - 1)! - 7 - 2$
Gregory Bayer, 7/22
Sydney, NSW
  40313 (3.4)
$(9 - 1)! - \sqrt{7^2}$
Gregory Bayer, 7/20
Sydney, NSW
  40315 (3.2)
$(9 - 1)! - 7 + 2$
Gregory Bayer, 4/22
Sydney, NSW
    40318 (3.2)
$(9 - 1^7)! - 2$
Gregory Bayer, 4/22
Sydney, NSW
40319 (3.2)
$\dfrac{9!}{7 + 2} - 1$
Jonathan Frank, 11/21
Rye, NY
40320 (3.2)
$\dfrac{9!}{7 + 2 \times 1}$
Jonathan Frank, 3/21
Rye, NY
  40321 (3.2)
$\dfrac{9!}{7 + 2} + 1$
Jonathan Frank, 11/21
Rye, NY
                 
                    43200 (3.6)
$\dfrac{72}{1\%} \times (\sqrt{9})!$
Jonathan Frank, 6/22
Rye, NY
    45362 (3.2)
$7! \times 9 + 2 \times 1$
Madison Gielen, 6/13
Perth, Western Australia
            45369 (3.0)
$71^2 \times 9$
Jonathan Frank, 11/21
Rye, NY
 
    51842 (3.2)
$\dfrac{9!}{7} + 2 \times 1$
Agnieszka Hajnas, 5/13
Kansas City, MO
               
              57967 (3.0)
$91^2 \times 7$
Obada Albadawi, 5/16
Overland Park, KS
     
                  59049 (3.0)
$9^{12-7}$
Hyun Cheong, 3/14
Overland Park, KS
 
                    64400 (2.2)
$92 \times \dfrac{7}{1\%}$
Alyssa Trembly, 2/14
Spring Hill, KS
                    64800 (2.2)
$72 \times \dfrac{9}{1\%}$
Alyssa Trembly, 2/14
Spring Hill, KS
                    65000 (2.4)
$\dfrac{91}{2\% \times 7\%}$
David Anderson, 2/14
Olathe, KS
            65536 (3.0)
$2^{(9+7) \times 1}$
Jonathan Frank, 4/21
Rye, NY
       
                    103680 (3.2)
$\dfrac{9! \times 2}{7 \times 1}$
Gregory Bayer, 7/22
Sydney, NSW
                  117649 (3.0)
$7^{9-2-1}$
Chryspus Muema, 5/16
Olathe, KS
 
    131072 (3.0)
$2^{9+7+1}$
Chryspus Muema, 5/16
Olathe, KS
               
                    259200 (3.2)
$\dfrac{(9 + 1)!}{2 \times 7}$
Jonathan Frank, 6/22
Rye, NY
                    282240 (3.4)
$(9 - 1)! \times \sqrt{7^2}$
Gregory Bayer, 2/22
Sydney, New South Wales
                    322560 (3.2)
$(9 - 1)^2 \times 7!$
Gregory Bayer, 10/22
Sydney, NSW
                  357819 (3.4)
$9! - 7! - 21$
Gregory Bayer, 7/22
Sydney, NSW
 
                357828 (3.4)
$9! - 7! - 12$
Gregory Bayer, 7/22
Sydney, NSW
   
        357834 (3.6)
$9! - 7! - (2 + 1)!$
Gregory Bayer, 10/22
Sydney, NSW
           
                    358400 (3.2)
$2^9 \times \dfrac{7}{1\%}$
Steve Wilson, 1/13
Raytown, MO
                    362760 (3.4)
$9! - (12 - 7)!$
Gregory Bayer, 10/22
Sydney, NSW
                  367899 (3.4)
$9! + 7! - 21$
Obada Albadawi, 5/16
Overland Park, KS
 
  367921 (3.2)
$9! + 71^2$
Hannah Maleki, 11/16
Overland Park, KS
                 
          390625 (3.0)
$(7 - 2)^{9-1}$
Jonathan Frank, 4/21
Rye, NY
         
                    403200 (3.2)
$\dfrac{(9 + 1)!}{2 + 7}$
Jonathan Frank, 6/22
Rye, NY
                    504000 (3.2)
$(9 + 1)^2 \times 7!$
Gregory Bayer, 10/22
Sydney, NSW
  516961 (3.0)
$719^2$
Hannah Maleki, 9/16
Overland Park, KS
                 
  625681 (3.0)
$791^2$
Justin Keck, 3/17
Lawrence, KS
                 
          703125 (3.2)
$\left( \dfrac{1}{.2} \right)^7 \times 9$
Hyun Cheong, 2/14
Overland Park, KS
         
                    725760 (3.2)
$\dfrac{(9 + 1)!}{7 - 2}$
Jonathan Frank, 6/22
Rye, NY
              725767 (3.2)
$9! \times 2 + 7 \times 1$
Chryspus Muema, 4/16
Olathe, KS
     
      823543 (3.0)
$7^{9-2} \times 1$
Steve Wilson, 9/20
Lawrence, KS
             
                  840889 (3.0)
$917^2$
Andrea Craig, 3/17
Olathe, KS
 
          1953125 (3.0)
$(7 - 2)^{9 \times 1}$
Jonathan Frank, 4/21
Rye, NY
1953126 (3.0)
$(7 - 2)^9 + 1$
Natalie Eppler, 11/16
Paola, KS
       
    2097152 (3.0)
$(9 - 7)^{21}$
Gregory Bayer, 2/22
Sydney, New South Wales
               
                  2476099 (3.0)
$19^{7-2}$
Hyun Cheong, 3/14
Overland Park, KS
 
                    3265920 (3.4)
$(9 + 1)! - (7 + 2)!$
Jonathan Frank, 6/22
Rye, NY
    3981312 (3.0)
$\dfrac{12^7}{9}$
Salvador Aguirre, 10/16
Overland Park, KS
               
    4782972 (3.0)
$9^7 + 2 + 1$
Adam Shafton, 4/16
Overland Park, KS
               
                    4989600 (3.2)
$\dfrac{(9 + 2)!}{7 + 1}$
Jonathan Frank, 6/22
Rye, NY
                  5702399 (3.2)
$\dfrac{(9 + 2)!}{7} - 1$
Jonathan Frank, 6/22
Rye, NY
5702400 (3.2)
$\dfrac{(9 + 2)!}{7 \times 1}$
Jonathan Frank, 6/22
Rye, NY
  5702401 (3.2)
$\dfrac{(9 + 2)!}{7} + 1$
Jonathan Frank, 6/22
Rye, NY
                 
  5764801 (3.2)
$7^{\sqrt{9^2} - 1}$
Gregory Bayer, 2/22
Sydney, New South Wales
                 
                    6652800 (3.2)
$\dfrac{(9 + 2)!}{7 - 1}$
Jonathan Frank, 6/22
Rye, NY
                9565938 (3.0)
$9^7 \times 2 \times 1$
Agnieszka Hajnas, 5/13
Kansas City, MO
   
          9765625 (3.0)
$(7 - 2)^{9+1}$
Jonathan Frank, 4/21
Rye, NY
         
                    10000000 (3.0)
$(9 + 2 - 1)^7$
Steve Wilson, 9/20
Lawrence, KS
  19487171 (3.0)
$(9 + 2)^7 \times 1$
Deborah Kangas, 5/14
Lenexa, KS
19487172 (3.0)
$(9 + 2)^7 + 1$
Andrea Craig, 3/17
Olathe, KS
               
                  35831799 (3.0)
$12^7 - 9$
Salvador Aguirre, 10/16
Overland Park, KS
 
                35831808 (3.0)
$(9 + 2 + 1)^7$
Deborah Kangas, 5/14
Lenexa, KS
   
              35831817 (3.0)
$12^7 + 9$
Salvador Aguirre, 10/16
Overland Park, KS
     
                36194688 (3.2)
$9! + 12^7$
Hannah Maleki, 9/16
Overland Park, KS
   
          40353605 (3.0)
$7^9 - 2 \times 1$
Iris Behm, 3/14
Lenexa, KS
        40353610 (3.2)
$7^9 + 2 + 1$
Chryspus Muema, 4/16
Olathe, KS
                57395628 (3.0)
$9^7 \times 12$
Hyun Cheong, 2/14
Overland Park, KS
   
        67108864 (3.0)
$2^{17+9}$
Gregory Bayer, 2/22
Sydney, New South Wales
           
      80707213 (3.0)
$7^9 \times 2 - 1$
Vamsi, 9/14
Visakhapatnam, India
80707214 (3.0)
$7^9 \times 2 \times 1$
Hyun Cheong, 2/14
Overland Park, KS
80707215 (3.0)
$7^9 \times 2 + 1$
Vamsi, 9/14
Visakhapatnam, India
         
                  100442349 (3.0)
$9^7 \times 21$
Hannah Maleki, 11/16
Overland Park, KS
 
      129140163 (3.0)
$9^{17/2}$
Gregory Bayer, 2/22
Sydney, New South Wales
             
                  200120949 (3.0)
$\dfrac{21^7}{9}$
Salvador Aguirre, 10/16
Overland Park, KS
 
                  282475249 (3.0)
$7^{9+2-1}$
Chryspus Muema, 5/16
Olathe, KS
 
    322486272 (3.0)
$12^7 \times 9$
Hyun Cheong, 2/14
Overland Park, KS
               
                  387420489 (3.0)
$9^{7 + 2} \times 1$
Deborah Kangas, 5/14
Lenexa, KS
387420490 (3.0)
$9^{7 + 2} + 1$
Andrea Craig, 3/17
Olathe, KS
                  479001679 (3.2)
$12! + 79$
Greg Bayer, 8/19
Sydney, New South Wales
 
              479001697 (3.2)
$12! + 97$
Greg Bayer, 8/19
Sydney, New South Wales
     
        484243284 (3.0)
$7^9 \times 12$
Deborah Kangas, 5/14
Lenexa, KS
           
  594823321 (3.0)
$29^{7-1}$
Gregory Bayer, 12/19
Sydney, New South Wales
                 
      612220033 (3.0)
$(9 \times 2)^7 + 1$
Andrea Craig, 3/17
Olathe, KS
             
  1801088541 (3.0)
$(12 + 9)^7$
Deborah Kangas, 5/14
Lenexa, KS
                1801088550 (3.0)
$21^7 + 9$
Salvador Aguirre, 10/16
Overland Park, KS
                    1977326740 (4.4)
$7^{9+2} + \log(1 ‰)$
Vamsi, 11/14
Visakhapatnam, India
      1977326743 (3.0)
$7^{9+2} \times 1$
Steve Wilson, 9/20
Lawrence, KS
             
  3486784401 (3.0)
$9^{7+2+1}$
Chryspus Muema, 5/16
Olathe, KS
                 
                  3657830399 (3.4)
$9! \times 7! \times 2 - 1$
Vamsi, 10/14
Visakhapatnam, India
3657830400 (3.4)
$9! \times 7! \times 2 \times 1$
Catherine Weinman, 7/13
Perth, Western Australia
  3657830401 (3.4)
$9! \times 7! \times 2 + 1$
Catherine Weinman, 6/13
Perth, Western Australia
                 
          38443359375 (3.0)
$(7 \times 2 + 1)^9$
Travis MacClendon, 1/14
Blountstown, FL
         
                  594467302491009 (3.0)
$129^7$
Vamsi, 9/14
Visakhapatnam, India
 
        4611686018427387904 (3.0)
$2^{(9 \times 7 - 1)}$
Adam Shafton, 4/16
Overland Park, KS
           
                9223372036854775808 (3.0)
$2^{(9 \times 7 \times 1)}$
Adam Shafton, 4/16
Overland Park, KS
   
            18446744073709551616 (3.0)
$2^{(9 \times 7 + 1)}$
Adam Shafton, 4/16
Overland Park, KS
       

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