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! Five "new" or "improved" solutions per person per month are accepted.

Page 1 (1-400), Page 2 (401+).

  401 (2.4)
$\dfrac{7.\overline{9}}{2\%} + 1$
Steve Wilson, 10/15
Lawrence, KS
  403 (2.4)
$\dfrac{1}{.2\%} - 97$
Steve Wilson, 1/16
Lawrence, KS
404 (3.8)
$\dfrac{.9}{.\overline{2}\%} - 1^7$
Steve Wilson, 3/16
Lawrence, KS
405 (2.4)
$(7 - 2) \times \dfrac{9}{.\overline{1}}$
Steve Wilson, 1/16
Lawrence, KS
406 (2.8)
$\dfrac{.7}{.\overline{2}\%} + 91$
Steve Wilson, 1/16
Lawrence, KS
407 (2.2)
$\dfrac{9 - 1}{2\%} + 7$
Steve Wilson, 1/16
Lawrence, KS
  409 (2.2)
$\dfrac{7 + 1}{2\%} + 9$
Steve Wilson, 1/16
Lawrence, KS
410 (2.2)
$\dfrac{7 - 2.9}{1\%}$
Steve Wilson, 10/15
Lawrence, KS
  411 (2.8)
$\dfrac{.9}{.\overline{2}\%} + 7 - 1$
Steve Wilson, 2/16
Lawrence, KS
412 (2.6)
$\dfrac{9}{.1 \times .\overline{2}} + 7$
Steve Wilson, 2/16
Lawrence, KS
413 (2.2)
$\left( \dfrac{1}{2\%} + 9 \right) \times 7$
Steve Wilson, 2/16
Lawrence, KS
414 (2.4)
$\dfrac{92}{1 - .\overline{7}}$
Steve Wilson, 2/16
Lawrence, KS
415 (2.4)
$(9 - .7) \times \dfrac{1}{2\%}$
Steve Wilson, 2/16
Lawrence, KS
416 (2.4)
$\dfrac{9 - .7}{2\%} + 1$
Steve Wilson, 3/16
Lawrence, KS
417 (3.4)
$\dfrac{7!}{12} - \sqrt{9}$
Steve Wilson, 3/16
Lawrence, KS
    420 (2.2)
$\dfrac{91 - 7}{.2}$
Steve Wilson, 10/15
Lawrence, KS
  421 (2.2)
$\dfrac{1}{2\%} - 79$
Steve Wilson, 12/16
Lawrence, KS
422 (2.8)
$\dfrac{.9}{.\overline{2}\%} + 17$
Steve Wilson, 12/16
Lawrence, KS
423 (2.6)
$\dfrac{9 - 7\%}{2.1\%}$
Steve Wilson, 12/16
Lawrence, KS
    426 (3.6)
$\dfrac{7!}{12} + (\sqrt{9})!$
Steve Wilson, 12/16
Lawrence, KS
    429 (2.8)
$\dfrac{.\overline{9}}{.2\%} - 71$
Steve Wilson, 12/16
Lawrence, KS
430 (2.4)
$\dfrac{9 \times .7 - 2}{1\%}$
Steve Wilson, 4/17
Lawrence, KS
  431 (2.6)
$\dfrac{7}{2\%} + \dfrac{9}{.\overline{1}}$
Steve Wilson, 4/17
Lawrence, KS
432 (2.4)
$\dfrac{97 - 1}{.\overline{2}}$
Steve Wilson, 8/18
Lawrence, KS
433 (2.2)
$\dfrac{9}{2\%} - 17$
Steve Wilson, 8/18
Lawrence, KS
434 (2.6)
$\dfrac{1}{.\overline{2}\%} - 9 - 7$
Steve Wilson, 8/18
Lawrence, KS
435 (2.2)
$\dfrac{9.7 - 1}{2\%}$
Steve Wilson, 8/18
Lawrence, KS
436 (2.8)
$\dfrac{97 - .\overline{1}}{.\overline{2}}$
Steve Wilson, 8/18
Lawrence, KS
437 (2.4)
$\dfrac{1}{.2\%} - 9 \times 7$
Steve Wilson, 9/18
Lawrence, KS
438 (2.4)
$\dfrac{9 - .1}{2\%} - 7$
Steve Wilson, 9/18
Lawrence, KS
  440 (2.4)
$\dfrac{ \dfrac{7}{.2} + 9}{.1}$
Steve Wilson, 9/18
Lawrence, KS
  441 (2.2)
$\dfrac{7}{2\%} + 91$
Steve Wilson, 9/18
Lawrence, KS
442 (2.2)
$\dfrac{9}{2\%} - 7 - 1$
Steve Wilson, 9/18
Lawrence, KS
               
          455 (2.0)
$91 \times (7 - 2)$
Isabel C., 5/13
New York, NY
         
          485 (2.2)
$\dfrac{97}{2 \times .1}$
Margaret Wilson, 4/13
Atlanta, GA
486 (3.0)
$9^2 \times (7 - 1)$
Paolo Noya, 12/13
Bergamo, Italy
      490 (3.0)
$7^2 \times (9 + 1)$
Hannah Maleki, 11/16
Overland Park, KS
      493 (2.0)
$17 \times 29$
Porter Adams, 4/13
Atlanta, GA
             
          505 (3.0)
$2^9 - 7 \times 1$
Sierra Henricks, 2/14
Olathe, KS
506 (3.0)
$2^9 - 7 + 1$
Kyle Sanders, 5/13
Albany, NY
       
    512 (3.0)
$2^9 \times 1^7$
Paolo Noya, 12/13
Bergamo, Italy
513 (2.0)
$19 \times 27$
Porter Adams, 4/13
Atlanta, GA
        518 (3.0)
$2^9 + 7 - 1$
Kyle Sanders, 5/13
Albany, NY
519 (3.0)
$2^9 + 7 \times 1$
Kyle Sanders, 5/13
Albany, NY
520 (3.0)
$1 + 7 + 2^9$
Porter Adams, 4/13
Atlanta, GA
          525 (2.2)
$7 \times \dfrac{9}{.12}$
Justin Lanier, 4/13
Brooklyn, NY
      529 (3.0)
$2^9 + 17$
Iris Behm, 2/14
Lenexa, KS
 
              557 (3.2)
$\dfrac{7!}{9} - 2 - 1$
Sophie Cox, 6/13
Perth, Western Australia
    560 (3.0)
$(9^2 - 1) \times 7$
Deb Kennedy, 5/14
Leawood, KS
    562 (3.2)
$\dfrac{7!}{9} \times 1 + 2$
Leif Muhammad, 3/14
Kansas City, MO
      566 (3.0)
$7 \times 9^2 - 1$
Paolo Noya, 12/13
Bergamo, Italy
567 (3.0)
$7 \times 9^2 \times 1$
Paolo Noya, 12/13
Bergamo, Italy
568 (3.0)
$7 \times 9^2 + 1$
Paolo Noya, 12/13
Bergamo, Italy
   
        574 (3.0)
$(9^2 + 1) \times 7$
Lynne Erwin, 6/16
Overland Park, KS
           
      583 (3.0)
$2^9 + 71$
Iris Behm, 2/14
Lenexa, KS
             
                628 (2.2)
$7 \times \dfrac{9}{.1} - 2$
Echo Anderson, 12/13
Lenexa, KS
   
    632 (2.2)
$7 \times \dfrac{9}{.1} + 2$
Echo Anderson, 12/13
Lenexa, KS
    635 (2.0)
$91 \times 7 - 2$
Iris Behm, 1/14
Lenexa, KS
      639 (2.0)
$91 \times 7 + 2$
Iris Behm, 1/14
Lenexa, KS
 
      643 (2.0)
$92 \times 7 - 1$
Agnieszka Hajnas, 5/13
Kansas City, MO
644 (2.0)
$92 \times 7 \times 1$
Steve Wilson, 8/13
Lawrence, KS
645 (2.0)
$92 \times 7 + 1$
Daniella Donofrio, 5/13
Olathe, KS
  647 (2.0)
$72 \times 9 - 1$
Daniella Donofrio, 5/13
Olathe, KS
648 (2.0)
$72 \times 9 \times 1$
Kendra Stindt, 8/13
Topeka, KS
649 (2.0)
$72 \times 9 + 1$
Daniella Donofrio, 5/13
Olathe, KS
650 (2.2)
$\dfrac{91}{7 \times 2\%}$
David Anderson, 2/14
Olathe, KS
          665 (2.2)
$19 \times \dfrac{7}{.2}$
Echo Anderson, 11/13
Lenexa, KS
         
      703 (2.0)
$712 - 9$
Emily Boudville, 6/13
Perth, Western Australia
             
  721 (2.0)
$712 + 9$
Steve Wilson, 8/13
Lawrence, KS
            728 (2.0)
$729 - 1$
Lisa Downing, 4/13
Simpsonville, SC
729 (2.0)
$729 \times 1$
Michael Caldwell, 3/13
Olathe, KS
730 (2.0)
$729 + 1$
Lisa Downing, 4/13
Simpsonville, SC
            736 (3.0)
$9^{2+1} + 7$
Andrea Craig, 3/17
Olathe, KS
       
            756 (2.0)
$12 \times 7 \times 9$
Agnieszka Hajnas, 5/13
Kansas City, MO
       
          765 (2.2)
$17 \times \dfrac{9}{.2}$
Echo Anderson, 11/13
Lenexa, KS
         
                  789 (2.0)
$791 - 2$
Bing Guo, 10/13
Lawrence, KS
 
  791 (2.0)
$792 - 1$
Barret Seagroves, 4/13
Atlanta, GA
792 (2.0)
$792 \times 1$
Barret Seagroves, 4/13
Atlanta, GA
793 (2.0)
$792 + 1$
Barret Seagroves, 4/13
Atlanta, GA
             
              867 (3.2)
$17^2 \times \sqrt{9}$
Hannah Maleki, 11/16
Overland Park, KS
     
      903 (2.0)
$129 \times 7$
Bing Guo, 11/13
Lawrence, KS
  905 (2.0)
$912 - 7$
Emily Boudville, 6/13
Perth, Western Australia
         
        914 (2.0)
$921 - 7$
Bing Guo, 10/13
Lawrence, KS
        919 (2.0)
$912 + 7$
Steve Wilson, 8/13
Lawrence, KS
 
            926 (2.0)
$927 - 1$
Giuseppe Favacchio, 4/13
Scicli, Italy
927 (2.0)
$927 \times 1$
Sophie Fischer & Violet McCabe, 4/13
New York, NY
928 (2.0)
$927 + 1$
Giuseppe Favacchio, 4/13
Scicli, Italy
   
  931 (3.0)
$7^2 \times 19$
Hyun Cheong, 2/14
Overland Park, KS
                 
                948 (2.0)
$79 \times 12$
Allison Layne-Mulhern, 10/13
Leawood, KS
   
                968 (2.2)
$\dfrac{97}{.1} - 2$
Margaret Wilson, 4/13
Atlanta, GA
969 (2.0)
$971 - 2$
D.J. Demjanik, 12/13
Shawnee, KS
 
  971 (2.0)
$972 - 1$
Edie Abraham-Macht, 4/13
Brooklyn, NY
972 (2.0)
$\dfrac{972}{1}$
Edie Abraham-Macht, 4/13
Brooklyn, NY
973 (2.0)
$972 + 1$
Giuseppe Favacchio, 4/13
Scicli, Italy
             
                  1119 (3.2)
$7! \times \dfrac29 - 1$
Ashlyn Howatson, 4/13
Perth, Western Australia
1120 (3.2)
$7! \times \dfrac29 \times 1$
Parker Thomsen, 5/15
Lenexa, KS
  1121 (3.2)
$7! \times \dfrac29 + 1$
Parker Thomsen, 5/15
Lenexa, KS
                 
      1143 (2.0)
$127 \times 9$
Bing Guo, 11/13
Lawrence, KS
             
  1151 (3.0)
$2^7 \times 9 - 1$
Sierra Henricks, 4/14
Olathe, KS
1152 (3.0)
$2^7 \times 9^1$
Hannah Maleki, 9/16
Overland Park, KS
1153 (3.0)
$2^7 \times 9 + 1$
Iris Behm, 1/14
Lenexa, KS
             
        1164 (2.0)
$97 \times 12$
Allison Layne-Mulhern, 11/13
Leawood, KS
           
                    1260 (2.2)
$\dfrac{9 \times 2 \times 7}{.1}$
Margaret Wilson, 4/13
Atlanta, GA
        1274 (2.0)
$91 \times 7 \times 2$
Allison Layne-Mulhern, 10/13
Leawood, KS
        1279 (2.0)
$1279$
Ethan L., 4/13
New York, NY
 
              1297 (2.0)
$1297$
Garrett Donnelly, 5/13
Atlanta, GA
     
      1323 (2.0)
$7 \times 9 \times 21$
Kendra Stindt, 8/13
Topeka, KS
             
        1344 (2.0)
$192 \times 7$
Echo Anderson, 11/13
Lenexa, KS
           
                1368 (2.0)
$72 \times 19$
Justin Keck, 3/17
Lawrence, KS
   
              1377 (3.0)
$9^2 \times 17$
Deborah Kangas, 1/14
Lenexa, KS
     
                1438 (2.0)
$719 \times 2$
D.J. Demjanik, 12/13
Shawnee, KS
   
                1548 (2.0)
$172 \times 9$
Allison Layne-Mulhern, 11/13
Leawood, KS
   
        1564 (2.0)
$17 \times 92$
Echo Anderson, 12/13
Lenexa, KS
           
                    1580 (2.2)
$79 \times \dfrac{2}{.1}$
D.J. Demjanik, 9/13
Shawnee, KS
    1582 (2.0)
$791 \times 2$
D.J. Demjanik, 12/13
Shawnee, KS
               
                  1659 (2.0)
$79 \times 21$
D.J. Demjanik, 9/13
Shawnee, KS
 
                  1729 (2.0)
$1729$
Scott Thibodeaux, 4/13
Denver, CO
 
    1792 (2.0)
$1792$
Sara Fridovich-Keil, 6/13
Decatur, GA
               
        1834 (2.0)
$917 \times 2$
D.J. Demjanik, 12/13
Shawnee, KS
           
              1927 (2.0)
$1927$
Sara Fridovich-Keil, 6/13
Decatur, GA
     
    1942 (2.0)
$971 \times 2$
Kendra Stindt, 11/13
Topeka, KS
               
                    1940 (2.2)
$\dfrac{97}{.1} \times 2$
Margaret Wilson, 4/13
Atlanta, GA
      1953 (2.0)
$217 \times 9$
Alicia Kasper, 10/13
Cranbury, NJ
             
    1972 (2.0)
$1972$
Sara Fridovich-Keil, 6/13
Decatur, GA
               
              2037 (2.0)
$97 \times 21$
D.J. Demjanik, 8/13
Shawnee, KS
     
                  2059 (2.0)
$29 \times 71$
Kendra Stindt, 8/13
Topeka, KS
 
    2432 (3.0)
$2^7 \times 19$
Hannah Maleki, 9/16
Overland Park, KS
               
              2457 (2.0)
$27 \times 91$
Echo Anderson, 12/13
Lenexa, KS
     
              2527 (3.0)
$19^2 \times 7$
Justin Keck, 3/17
Lawrence, KS
     
    2592 (3.4)
$\dfrac{9!}{7 \times 2} \times .1$
Parker Thomsen, 5/15
Lenexa, KS
               
  2601 (3.0)
$17^2 \times 9$
Sierra Henricks, 2/14
Olathe, KS
                 
                  2719 (2.0)
$2719$
Sara Fridovich-Keil, 7/13
Decatur, GA
 
  2791 (2.0)
$2791$
Sara Fridovich-Keil, 7/13
Decatur, GA
                2800 (3.4)
$\dfrac{7!}{9 \times .2 \times 1}$
Susan Vongphrachanh, 4/17
Kansas City, KS
              2917 (2.0)
$2917$
Sara Fridovich-Keil, 7/13
Decatur, GA
     
  2971 (2.0)
$2971$
Sara Fridovich-Keil, 7/13
Decatur, GA
                 
          3185 (2.2)
$91 \times \dfrac{7}{.2}$
Echo Anderson, 11/13
Lenexa, KS
         
          3195 (2.2)
$71 \times \dfrac{9}{.2}$
Echo Anderson, 11/13
Lenexa, KS
         
  3241 (3.2)
$91^2 - 7!$
Susan Vongphrachanh, 4/17
Kansas City, KS
                 
      3583 (3.0)
$2^9 \times 7 - 1$
Sierra Henricks, 1/14
Olathe, KS
3584 (3.0)
$2^9 \times 7 \times 1$
D.J. Demjanik, 8/13
Shawnee, KS
3585 (3.0)
$2^9 \times 7 + 1$
Sierra Henricks, 4/14
Olathe, KS
         
                  3949 (2.2)
$\dfrac{79}{2\%} - 1$
David Anderson, 1/14
Olathe, KS
3950 (2.2)
$\dfrac{79}{2\%} \times 1$
David Anderson, 1/14
Olathe, KS
  3951 (2.2)
$\dfrac{79}{2\%} + 1$
Alyssa Trembly, 1/14
Spring Hill, KS
                 
                3968 (3.0)
$(9 \times 7)^2 - 1$
Huntly Cooper, 4/13
New York, NY
3969 (3.0)
$(9 \times 7)^2 \times 1$
Julia B., 7/13
Brooklyn, NY
3970 (3.0)
$(9 \times 7)^2 + 1$
Sierra Henricks, 3/14
Olathe, KS
            4096 (3.0)
$2^{19-7}$
Hyun Cheong, 3/14
Overland Park, KS
       
                  4459 (3.0)
$7^2 \times 91$
Sierra Henricks, 1/14
Olathe, KS
 
      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
     
                  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
                 
    5032 (3.0)
$71^2 - 9$
Sierra Henricks, 3/14
Olathe, KS
  5034 (3.2)
$1 + 7! + 2 - 9$
Adam Shafton, 4/16
Overland Park, KS
           
              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
                 
  5751 (3.0)
$9^2 \times 71$
Kendra Stindt, 11/13
Topeka, KS
                 
  5961 (3.2)
$7! + 921$
Susan Vongphrachanh, 4/17
Kansas City, KS
                 
                    6240 (3.0)
$79^2 - 1$
Sierra Henricks, 2/14
Olathe, KS
    6242 (3.0)
$79^2 + 1$
Sierra Henricks, 3/14
Olathe, KS
               
        6384 (2.0)
$912 \times 7$
Bing Guo, 11/13
Lawrence, KS
           
                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
                  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
                  7129 (2.0)
$7129$
Sara Fridovich-Keil, 7/13
Decatur, GA
 
    7192 (2.0)
$7192$
Sara Fridovich-Keil, 6/13
Decatur, GA
               
                  7219 (2.0)
$7219$
Sara Fridovich-Keil, 6/13
Decatur, GA
 
  7291 (2.0)
$7291$
Sara Fridovich-Keil, 5/13
Decatur, GA
                 
                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
               
  7921 (2.0)
$7921$
Sara Fridovich-Keil, 5/13
Decatur, GA
                 
        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
   
        8704 (3.0)
$2^9 \times 17$
Alondra Aviles Gallegos, 2/17
Kansas City, KS
           
              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
     
                    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
    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
 
      15123 (3.2)
$71^2 \times \sqrt{9}$
Hannah Maleki, 11/16
Overland Park, KS
             
      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
                  22679 (3.2)
$7! \times \dfrac92 - 1$
Parker Thomsen, 5/15
Lenexa, KS
 
  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
 
                  25919 (3.2)
$\dfrac{9!}{7 \times 2} - 1$
Aaron Parsons, 8/16
Pittsville, MD
 
  25921 (3.2)
$\dfrac{9!}{7 \times 2} + 1$
Aaron Parsons, 8/16
Pittsville, MD
                 
                    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
                 
                  38809 (3.0)
$197^2$
Justin Keck, 3/17
Lawrence, KS
 
    45362 (3.2)
$7! \times 9 + 2 \times 1$
Madison Gielen, 6/13
Perth, Western Australia
               
    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
                  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
               
                    358400 (3.2)
$2^9 \times \dfrac{7}{1\%}$
Steve Wilson, 1/13
Raytown, MO
                  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
                 
  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
         
              725767 (3.2)
$9! \times 2 + 7 \times 1$
Chryspus Muema, 4/16
Olathe, KS
     
      823543 (4.2)
$7^{9-2} + \log 1$
Hyun Cheong, 3/14
Overland Park, KS
             
                  840889 (3.0)
$917^2$
Andrea Craig, 3/17
Olathe, KS
 
            1953126 (3.0)
$(7 - 2)^9 + 1$
Natalie Eppler, 11/16
Paola, KS
       
                  2476099 (3.0)
$19^{7-2}$
Hyun Cheong, 3/14
Overland Park, KS
 
    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
               
                9565938 (3.0)
$9^7 \times 2 \times 1$
Agnieszka Hajnas, 5/13
Kansas City, MO
   
  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
   
      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
 
                  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
        484243284 (3.0)
$7^9 \times 12$
Deborah Kangas, 5/14
Lenexa, KS
           
      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 (4.2)
$7^{9+2} + \log(1)$
Vamsi, 9/14
Visakhapatnam, India
             
  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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