Integermania!

First Four Nonsquares

The first four nonsquare numbers are 2, 3, 5, and 6. 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.

A computer analysis by Paolo Pellegrini, who proposed this problem, shows that if a set contains 4 digits between 1 and 9, then the largest possible level 2.8 exquisiteness is achieved by the first four nonsquares.

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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+).

                     
                828 (3.6)
$6! + 5! - 3! \times 2$
Harman Tiwana, 12/12
Lenexa, KS
   
    832 (3.6)
$6! + 5! - 3! - 2$
Harman Tiwana, 12/12
Lenexa, KS
              840 (2.2)
$56 \times \dfrac{3}{.2}$
Rachel Winkler, 9/12
Shawnee, KS
                848 (3.6)
$6! + 5! + 3! + 2$
Miles Gill, 7/12
Lawrence, KS
   
        864 (3.2)
$6! \times \dfrac25 \times 3$
Robert Devine, 4/12
Lawrence, KS
           
          875 (2.4)
$\dfrac{6 \times 3 - .5}{2\%}$
Kenneth Chapman, 4/14
Santa Paula, CA
         
              897 (3.0)
$(5 \times 6)^2 - 3$
Xinpei Zhao, 6/12
Lawrence, KS
    900 (2.2)
$36 \times \dfrac{5}{.2}$
Sam Carroll, 11/11
Shawnee, KS
      903 (3.0)
$(5 \times 6)^2 + 3$
Xinpei Zhao, 6/12
Lawrence, KS
            910 (2.0)
$35 \times 26$
Billie Jean Vazquez, 3/12
Lenexa, KS
                    930 (2.0)
$3 \times 5 \times 62$
Elizabeth Waters, 6/12
Lawrence, KS
            936 (2.0)
$52 \times 6 \times 3$
Ryan McNeese, 7/12
Lawrence, KS
       
          945 (3.2)
$6! + (5 \times 3)^2$
Lawrence Ombasa, 3/16
Overland Park, KS
        950 (3.6)
$\dfrac{5! - 3!}{2 \times 6\%}$
Larry Flanagan, 7/12
Lawrence, KS
          955 (3.2)
$6! + 235$
Nick Evans, 6/12
Lawrence, KS
        960 (3.2)
$2^{6-3} \times 5!$
Shannon O'Neill, 6/12
Lawrence, KS
    972 (3.0)
$\dfrac{6^5}{2^3}$
Elizabeth Waters, 7/12
Lawrence, KS
    975 (2.2)
$\dfrac{65}{.2} \times 3$
Hee Do Yoon, 2/12
Overland Park, KS
         
                    1000 (2.6)
$\dfrac{3 - 2}{(.6 - .5)\%}$
Kenneth Chapman, 4/13
Santa Paula, CA
        1024 (3.0)
$\left( \dfrac{6 \times 2}{3} \right)^5$
Xinpei Zhao, 6/12
Lawrence, KS
           
    1072 (2.0)
$2 \times 536$
Michael Fung, 1/12
Overland Park, KS
          1078 (3.0)
$6^3 \times 5 - 2$
Rachel Winkler, 9/12
Shawnee, KS
  1080 (3.2)
$3! \times 6^2 \times 5$
Robert Devine, 4/12
Lawrence, KS
    1082 (3.0)
$6^3 \times 5 + 2$
Nathan Moore, 9/11
Overland Park, KS
               
            1126 (2.0)
$563 \times 2$
Billie Jean Vazquez, 4/12
Lenexa, KS
       
    1152 (3.2)
$2^3 \times \dfrac{6!}{5}$
Samantha Maupin, 6/12
Lawrence, KS
               
                    1180 (2.0)
$236 \times 5$
Billie Jean Vazquez, 5/12
Lenexa, KS
                    1200 (3.4)
$\dfrac{6!}{3!} \times 5 \times 2$
Robert Devine, 4/12
Lawrence, KS
                  1219 (3.0)
$35^2 - 6$
Ryan McNeese, 7/12
Lawrence, KS
 
  1231 (3.0)
$35^2 + 6$
Hee Do Yoon, 2/12
Overland Park, KS
    1234 (3.4)
$\dfrac{62}{5\%} - 3!$
Lawrence Ombasa, 3/16
Overland Park, KS
    1237 (2.2)
$\dfrac{62}{5\%} - 3$
Paolo Noya, 12/13
Bergamo, Italy
     
      1243 (2.2)
$\dfrac{62}{5\%} + 3$
Paolo Noya, 12/13
Bergamo, Italy
    1246 (2.2)
$\dfrac{623}{.5}$
Meredith Rosenbaum, 11/11
Shawnee, KS
       
                    1260 (3.0)
$6^2 \times 35$
Meredith Rosenbaum, 11/11
Shawnee, KS
                    1270 (2.0)
$635 \times 2$
Alyssa Trembly, 3/14
Spring Hill, KS
                1288 (2.0)
$23 \times 56$
William Lupton, 7/11
Olathe, KS
   
  1291 (3.0)
$36^2 - 5$
Ryan McNeese, 7/12
Lawrence, KS
        1296 (3.0)
$\dfrac{6^5}{3 \times 2}$
Elizabeth Waters, 6/12
Lawrence, KS
       
  1301 (3.0)
$36^2 + 5$
Hee Do Yoon, 2/12
Overland Park, KS
        1306 (2.0)
$653 \times 2$
Billie Jean Vazquez, 3/12
Lenexa, KS
       
                1378 (2.0)
$26 \times 53$
Sara Stites, 7/12
Lawrence, KS
   
                    1410 (2.0)
$235 \times 6$
Billie Jean Vazquez, 3/12
Lenexa, KS
                    1440 (2.2)
$36 \times \dfrac{2}{5\%}$
Mary A. M., 8/12
Overland Park, KS
      1443 (5.4)
$\dfrac{6!}{.5} + {}_3 C_2$
Josh Hood, 6/12
Olathe, KS
             
                    1460 (3.0)
$3^5 \times 6 + 2$
Li-Yu Chen, 7/12
Lawrence, KS
      1463 (3.0)
$2 \times 3^6 + 5$
Dominic Clemente, 6/12
Lawrence, KS
             
          1475 (3.2)
$6! \times 2 + 35$
Rachel Winkler, 9/12
Shawnee, KS
         
      1493 (3.2)
$6! \times 2 + 53$
Yue Li, 6/12
Lawrence, KS
  1495 (2.0)
$65 \times 23$
Sam Carroll, 12/11
Shawnee, KS
        1500 (3.0)
$5^3 \times 6 \times 2$
Sam Carroll, 12/11
Shawnee, KS
                    1560 (2.2)
$26 \times \dfrac{3}{5\%}$
Mary A. M., 10/12
Overland Park, KS
          1575 (2.2)
$63 \times \dfrac{5}{.2}$
Sam Carroll, 11/11
Shawnee, KS
    1578 (2.0)
$526 \times 3$
Billie Jean Vazquez, 5/12
Lenexa, KS
   
                    1590 (2.2)
$53 \times \dfrac{6}{.2}$
Sam Carroll, 11/11
Shawnee, KS
                    1620 (3.4)
$\sqrt{3^6} \times \dfrac{5!}{2}$
Aaron Parsons, 5/13
Salisbury, MD
                    1630 (2.0)
$326 \times 5$
Rachel Winkler, 9/12
Shawnee, KS
                    1680 (3.4)
$\dfrac{6^3 + 5!}{.2}$
Josh Hood, 6/12
Olathe, KS
            1686 (2.0)
$562 \times 3$
Nick Evans, 6/12
Lawrence, KS
       
    1692 (3.6)
$2 \times (6! + 5! + 3!)$
Wei Zhang, 7/12
Lawrence, KS
               
                1728 (3.4)
$6! \times 3! \times \dfrac25$
Robert Devine, 5/12
Lawrence, KS
   
                    1780 (2.2)
$\dfrac{356}{.2}$
Kellen Horsfall, 6/12
Lawrence, KS
    1792 (2.0)
$32 \times 56$
Allison Layne-Mulhern, 11/13
Leawood, KS
               
                    1810 (2.0)
$362 \times 5$
Ryan McNeese, 7/12
Lawrence, KS
    1872 (2.0)
$36 \times 52$
Sara Stites, 7/12
Lawrence, KS
    1875 (2.0)
$625 \times 3$
Nick Evans, 6/12
Lawrence, KS
         
                1908 (3.0)
$6^2 \times 53$
Sam Carroll, 11/11
Shawnee, KS
   
                    1950 (2.0)
$325 \times 6$
Deborah Kangas, 3/14
Lenexa, KS
            1956 (2.0)
$652 \times 3$
Billie Jean Vazquez, 2/12
Lenexa, KS
       
            2016 (3.2)
$3!^2 \times 56$
Sara Stites, 7/12
Lawrence, KS
       
                    2080 (2.0)
$32 \times 65$
Sam Carroll, 12/11
Shawnee, KS
    2112 (2.0)
$352 \times 6$
Billie Jean Vazquez, 4/12
Lenexa, KS
               
                    2160 (5.2)
${}_6 P_5 \times \dfrac{3!}{2}$
Wenming Zhao, 6/12
Lawrence, KS
          2185 (3.2)
$6! \times 3 + 25$
Yue Li, 6/12
Lawrence, KS
         
    2212 (3.2)
$6! \times 3 + 52$
Yue Li, 6/12
Lawrence, KS
               
        2304 (3.0)
$((5 + 3) \times 6)^2$
Roxanne Russell, 12/12
Merriam, KS
           
            2356 (2.0)
$2356$
Paolo Noya, 4/13
Bergamo, Italy
       
              2397 (3.2)
$\dfrac{5!^2}{6} - 3$
Shannon O'Neill, 6/12
Lawrence, KS
    2400 (3.4)
$\dfrac{(2 \times 3)!}{5 \times 6\%}$
Javier Vizcarra, 7/12
Lawrence, KS
                    2520 (2.2)
$63 \times \dfrac{2}{5\%}$
Mary A. M., 9/12
Overland Park, KS
                    2560 (3.0)
$2^{6+3} \times 5$
Josh Hood, 6/12
Olathe, KS
    2592 (3.2)
$\dfrac{6^{\sqrt{25}}}{3}$
Eamon Devine, 6/12
Lawrence, KS
               
                    2700 (3.0)
$(5 \times 6)^2 \times 3$
Roxanne Russell, 12/12
Merriam, KS
                    2760 (2.2)
$23 \times \dfrac{6}{5\%}$
Mary A. M., 9/12
Overland Park, KS
      2803 (3.0)
$53^2 - 6$
Leif Muhammad, 2/14
Kansas City, MO
             
          2815 (3.0)
$53^2 + 6$
Hengshen Lu, 11/12
Lawrence, KS
         
                    2880 (3.2)
$2^{5-3} \times 6!$
Shannon O'Neill, 6/12
Lawrence, KS
            2916 (3.0)
$3^5 \times 6 \times 2$
Josh Hood, 6/12
Olathe, KS
       
          3115 (2.0)
$623 \times 5$
Allison Layne-Mulhern, 12/13
Leawood, KS
         
                3138 (2.0)
$523 \times 6$
Billie Jean Vazquez, 4/12
Lenexa, KS
3139 (3.0)
$56^2 + 3$
Elizabeth Waters, 6/12
Lawrence, KS
 
                    3160 (2.0)
$632 \times 5$
Billie Jean Vazquez, 3/12
Lenexa, KS
          3175 (2.2)
$\dfrac{635}{.2}$
Deborah Kangas, 3/14
Lenexa, KS
         
    3192 (2.0)
$532 \times 6$
Billie Jean Vazquez, 4/12
Lenexa, KS
               
                    3250 (3.0)
$5^3 \times 26$
Alondra Aviles Gallegos, 4/17
Kansas City, KS
          3265 (4.4)
$\ln e^{3265}$
Evan Smith, 7/12
Lawrence, KS
         
            3276 (2.0)
$52 \times 63$
Eamon Devine, 6/12
Lawrence, KS
       
            3286 (2.0)
$62 \times 53$
Billie Jean Vazquez, 3/12
Lenexa, KS
       
                    3360 (3.2)
$\dfrac{(5 + 3)!}{6 \times 2}$
Paolo Noya, 4/13
Bergamo, Italy
    3392 (3.0)
$53 \times 2^6$
Jordan Crawford, 8/11
Overland Park, KS
               
                    3480 (3.4)
$5! \times 23 + 6!$
Hyun Cheong, 4/14
Overland Park, KS
    3562 (4.4)
$\ln e^{3562}$
Evan Smith, 7/12
Lawrence, KS
               
        3594 (3.2)
$(3 \times 2)! \times 5 - 6$
Wei Zhang, 7/12
Lawrence, KS
           
      3623 (3.2)
$6! \times 5 + 23$
Yue Li, 6/12
Lawrence, KS
             
    3632 (3.2)
$6! \times 5 + 32$
Yue Li, 6/12
Lawrence, KS
               
                    3720 (2.2)
$62 \times \dfrac{3}{5\%}$
Mary A. M., 10/12
Overland Park, KS
                    3750 (3.2)
$5^3 \times \dfrac{6}{.2}$
Robert Devine, 5/12
Lawrence, KS
                    3840 (2.2)
$32 \times \dfrac{6}{5\%}$
Mary A. M., 9/12
Overland Park, KS
                4228 (3.0)
$65^2 + 3$
Elizabeth Waters, 6/12
Lawrence, KS
   
                    4320 (3.2)
$5! \times 2 \times 3 \times 6$
Hengshen Lu, 11/12
Lawrence, KS
      4323 (3.2)
$5! \times 6^2 + 3$
Ryan McNeese, 7/12
Lawrence, KS
             
                    4500 (3.0)
$5^3 \times 6^2$
Nathan Moore, 9/11
Overland Park, KS
                    4800 (3.4)
$5! \times 2 \times \dfrac{6}{.3}$
Robert Devine, 5/12
Lawrence, KS
        5184 (3.0)
$6^5 \times \dfrac23$
Samantha Maupin, 6/12
Lawrence, KS
           
            5326 (4.4)
$\ln e^{5326}$
Evan Smith, 7/12
Lawrence, KS
       
                    5400 (3.0)
$5^2 \times 6^3$
Nathan Moore, 9/11
Overland Park, KS
    6532 (4.4)
$\ln e^{6532}$
Evan Smith, 7/12
Lawrence, KS
               
                    7290 (3.0)
$3^6 \times 2 \times 5$
Joseph Geraci, 10/11
Leawood, KS
                    7350 (3.0)
$35^2 \times 6$
Kellen Horsfall, 6/12
Lawrence, KS
              7437 (3.2)
$5! \times 62 - 3$
Ron Doherty, 6/12
Lawrence, KS
    7440 (3.4)
$62 \times \dfrac{3!}{5\%}$
Larry Flanagan, 6/12
Lawrence, KS
                    7680 (3.6)
$\sqrt{ (6 - 2)^{3!}} \times 5!$
Larry Flanagan, 6/12
Lawrence, KS
        7744 (3.0)
$6^5 - 32$
Alyssa Trembly, 3/14
Spring Hill, KS
           
              7767 (3.0)
$6^5 - 3^2$
Zhedong Liu, 6/12
Lawrence, KS
     
  7771 (3.0)
$6^5 - 3 - 2$
Nathan Moore, 11/11
Overland Park, KS
                 
  7781 (3.0)
$6^5 + 3 + 2$
Nathan Moore, 11/11
Overland Park, KS
      7785 (3.0)
$6^5 + 3^2$
Elizabeth Waters, 7/12
Lawrence, KS
         
                  7799 (3.0)
$6^5 + 23$
Chris Harris, 6/12
Overland Park, KS
 
                7808 (3.0)
$6^5 + 32$
Chris Harris, 6/12
Overland Park, KS
   
                7938 (3.2)
$\dfrac{63^2}{.5}$
Nathan Moore, 12/11
Overland Park, KS
   
                    8000 (3.2)
$\sqrt{5^{3!}} \times 2^6$
Larry Flanagan, 7/12
Lawrence, KS
                    8100 (3.0)
$(3 \times 5 \times 6)^2$
Roxanne Russell, 12/12
Merriam, KS
                    8400 (2.2)
$56 \times \dfrac{3}{2\%}$
Mary A. M., 10/12
Overland Park, KS
                8748 (3.0)
$3^5 \times 6^2$
Meredith Rosenbaum, 11/11
Shawnee, KS
   
                    9000 (2.2)
$36 \times \dfrac{5}{2\%}$
Mary A. M., 9/12
Overland Park, KS
                9408 (3.0)
$56^2 \times 3$
Dominic Clemente, 6/12
Lawrence, KS
   
                    9750 (2.2)
$65 \times \dfrac{3}{2\%}$
Mary A. M., 10/12
Overland Park, KS
                    10500 (2.2)
$35 \times \dfrac{6}{2\%}$
Mary A. M., 10/12
Overland Park, KS
                    10800 (3.4)
$5! \times 3 \times \dfrac{6}{.2}$
Robert Devine, 5/12
Lawrence, KS
    11232 (3.0)
$6^3 \times 52$
Chris Harris, 6/12
Overland Park, KS
               
        11664 (3.0)
$6^5 \times \dfrac32$
Samantha Maupin, 6/12
Lawrence, KS
           
                    12000 (5.4)
$\dfrac{{}_6 P_5}{.3 \times .2}$
Qian Dang, 10/12
Lenexa, KS
                    12480 (3.2)
$52 \times \dfrac{6!}{3}$
Shannon O'Neill, 6/12
Lawrence, KS
          12675 (3.0)
$65^2 \times 3$
Nathan Moore, 12/11
Overland Park, KS
         
                    13500 (3.0)
$\dfrac{(5 \times 6)^3}{2}$
Roxanne Russell, 12/12
Merriam, KS
        13824 (3.2)
$\left( \dfrac{6}{.5^2} \right)^3$
Eamon Devine, 6/12
Lawrence, KS
           
                    15120 (3.2)
$(5 + 2) \times 6! \times 3$
Wei Zhang, 7/12
Lawrence, KS
    15552 (3.0)
$3^5 \times 2^6$
Joseph Geraci, 10/11
Leawood, KS
               
      15593 (3.0)
$5^6 - 32$
Kellen Horsfall, 6/12
Lawrence, KS
             
                    15620 (3.0)
$5^6 - 3 - 2$
Nathan Moore, 11/11
Overland Park, KS
        15624 (3.0)
$5^6 - 3 + 2$
Nathan Moore, 11/11
Overland Park, KS
  15626 (3.0)
$5^6 + 3 - 2$
Sarah DuPont, 4/13
Roeland Park, KS
      15630 (3.0)
$5^6 + 3 + 2$
Nathan Moore, 11/11
Overland Park, KS
      15633 (3.0)
$5^6 + 2^3$
Ron Doherty, 6/12
Lawrence, KS
      15637 (3.2)
$5^6 + 3! \times 2$
Wei Zhang, 6/12
Lawrence, KS
     
                    15750 (2.2)
$63 \times \dfrac{5}{2\%}$
Mary A. M., 9/12
Overland Park, KS
                    16680 (3.4)
$6! \times 23 + 5!$
Hyun Cheong, 4/14
Overland Park, KS
                    17280 (3.6)
$\dfrac{6! \times 3!}{.25}$
Luke Sauvadon, 7/12
Lawrence, KS
      17283 (3.6)
$6! \times 5! \times .2 + 3$
Jason Cosentino, 7/12
Lawrence, KS
             
          19845 (3.0)
$63^2 \times 5$
Nathan Moore, 12/11
Overland Park, KS
         
                23328 (3.0)
$2^5 \times 3^6$
Joseph Geraci, 10/11
Leawood, KS
   
                    25920 (3.4)
$\dfrac{6^{3!-2}}{5\%}$
Larry Flanagan, 6/12
Lawrence, KS
                    28800 (3.2)
$6! \times 2^3 \times 5$
Samantha Maupin, 6/12
Lawrence, KS
                    31750 (2.2)
$\dfrac{635}{2\%}$
Deborah Kangas, 3/14
Lenexa, KS
        32774 (3.0)
$2^{3 \times 5} + 6$
Dominic Clemente, 6/12
Lawrence, KS
           
      33643 (5.0)
${}_{23} C_5 - 6$
Naveen Jayan, 6/13
Mangalore, India
             
                    37500 (3.6)
$\sqrt{5^6} \times \dfrac{3!}{2\%}$
Junjie Mao, 6/12
Lawrence, KS
          38865 (3.2)
$\dfrac{6^5 - 3}{.2}$
Yuncan Yang, 7/12
Lawrence, KS
         
                    39120 (3.2)
$5! \times 326$
Zhedong Liu, 7/12
Lawrence, KS
                    41040 (3.6)
$(5! - 3!) \times \dfrac{6!}{2}$
Miles Gill, 7/12
Lawrence, KS
                    43200 (3.6)
$\sqrt{3^2} \times \dfrac{6!}{5\%}$
Junjie Mao, 6/12
Lawrence, KS
  46631 (3.2)
$6^{3!} - 5^2$
Larry Flanagan, 7/12
Lawrence, KS
                 
            46656 (3.0)
$6^5 \times 3 \times 2$
Joseph Geraci, 10/11
Leawood, KS
       
  46661 (3.0)
$6^{2 \times 3} + 5$
Larry Flanagan, 7/12
Lawrence, KS
        46666 (3.2)
$6^{3!} + 5 \times 2$
Josh Hood, 6/12
Olathe, KS
       
          47995 (3.4)
$6! \times \dfrac{2}{3\%} - 5$
Samantha Maupin, 7/12
Lawrence, KS
        48000 (3.4)
$\dfrac{5!}{3\%} \times 6 \times 2$
Yi Zheng, 4/16
Olathe, KS
          48005 (3.4)
$6! \times \dfrac{2}{3\%} + 5$
Samantha Maupin, 7/12
Lawrence, KS
         
          54925 (3.2)
$65^3 \times .2$
Alondra Aviles Gallegos, 4/17
Kansas City, KS
         
          86385 (3.6)
$6! \times 5! - \dfrac{3}{.2}$
Jason Cosentino, 7/12
Lawrence, KS
         
        86394 (3.4)
$6! \times 5! - 3 \times 2$
Miles Gill, 7/12
Lawrence, KS
           
    86412 (3.6)
$6! \times 5! + 3! \times 2$
Wei Zhang, 7/12
Lawrence, KS
               
                87808 (3.0)
$\dfrac{56^3}{2}$
Samantha Maupin, 6/12
Lawrence, KS
   
                89998 (3.2)
$6! \times 5^3 - 2$
Shannon O'Neill, 7/12
Lawrence, KS
   
                    93750 (3.0)
$5^6 \times 3 \times 2$
Joseph Geraci, 10/11
Leawood, KS
          107995 (3.4)
$6! \times \dfrac{3}{2\%} - 5$
Samantha Maupin, 7/12
Lawrence, KS
         
          108005 (3.4)
$6! \times \dfrac{3}{2\%} + 5$
Samantha Maupin, 7/12
Lawrence, KS
         
                    120000 (3.6)
$\sqrt{5^2} \times \dfrac{6!}{3\%}$
Junjie Mao, 6/12
Lawrence, KS
                    125000 (3.0)
$2^3 \times 5^6$
William Lupton, 7/11
Olathe, KS
            126736 (3.0)
$356^2$
Zhedong Liu, 7/12
Lawrence, KS
       
                    129600 (3.4)
$6! \times 5! \times \dfrac32$
Zhedong Liu, 7/12
Lawrence, KS
          133225 (3.0)
$365^2$
Dominic Clemente, 7/12
Lawrence, KS
         
                    134400 (3.4)
$\dfrac{(2^3)!}{5 \times 6\%}$
Junjie Mao, 6/12
Lawrence, KS
          140625 (3.0)
$3^2 \times 5^6$
William Lupton, 7/11
Olathe, KS
         
                    144000 (3.6)
$\dfrac{6! \times 5!}{3 \times .2}$
Jason Cosentino, 7/12
Lawrence, KS
              148877 (3.0)
$\sqrt[2]{53^6}$
Nick Evans, 6/12
Lawrence, KS
     
                    162000 (3.6)
$\sqrt{3^6} \times \dfrac{5!}{2\%}$
Junjie Mao, 6/12
Lawrence, KS
                178848 (3.0)
$6^5 \times 23$
Chris Harris, 6/12
Overland Park, KS
   
      180003 (3.4)
$6! \times \dfrac{5}{2\%} + 3$
Samantha Maupin, 7/12
Lawrence, KS
             
                    234000 (3.2)
$6! \times 325$
Zhedong Liu, 7/12
Lawrence, KS
    248832 (3.0)
$6^5 \times 32$
Chris Harris, 6/12
Overland Park, KS
               
                    259200 (3.6)
$6! \times 5! \times \dfrac{3!}{2}$
Miles Gill, 7/12
Lawrence, KS
                  262149 (3.0)
$2^{6 \times 3} + 5$
Deborah Kangas, 3/14
Lenexa, KS
 
              274627 (3.0)
$65^3 + 2$
Sarah DuPont, 4/13
Roeland Park, KS
     
                    349920 (3.2)
$6! \times 3^5 \times 2$
Long Zhang, 6/12
Lawrence, KS
    351232 (3.0)
$56^3 \times 2$
Dominic Clemente, 6/12
Lawrence, KS
               
          359375 (3.0)
$23 \times 5^6$
Kashmira Sayani, 4/17
Overland Park, KS
         
                    549250 (3.0)
$65^3 \times 2$
Nathan Moore, 12/11
Overland Park, KS
                    604800 (3.2)
$\dfrac{(5 + 3 + 2)!}{6}$
Wei Zhang, 7/12
Lawrence, KS
                    1036800 (3.6)
$6! \times 5! \times 3! \times 2$
Miles Gill, 7/12
Lawrence, KS
                    1191640 (3.0)
$62^3 \times 5$
Nathan Moore, 12/11
Overland Park, KS
                    1260000 (3.4)
$\dfrac{6!}{2\%} \times 35$
Yi Zheng, 4/16
Olathe, KS
          1500625 (3.0)
$35^{6-2}$
Larry Flanagan, 6/12
Lawrence, KS
         
                    1908000 (3.4)
$\dfrac{6!}{2\%} \times 53$
Yi Zheng, 4/16
Olathe, KS
        4037874 (5.0)
${}_{23} P_5 - 6$
Naveen Jayan, 6/13
Mangalore, India
           
              6436337 (3.0)
$23^5 - 6$
Kashmira Sayani, 1/17
Overland Park, KS
     
                    8550360 (5.4)
${}_{6 \times 5} P_{3!} \times 2\%$
Javier Vizcarra, 7/12
Lawrence, KS
                38618058 (3.0)
$23^5 \times 6$
William Lupton, 7/11
Olathe, KS
   
                  916132829 (3.0)
$62^5 - 3$
Alyssa Trembly, 3/14
Spring Hill, KS
 
          916132835 (3.0)
$62^5 + 3$
Alyssa Trembly, 3/14
Spring Hill, KS
         
  992436541 (3.0)
$63^5 - 2$
Alyssa Trembly, 3/14
Spring Hill, KS
                 
                  1073741819 (3.0)
$32^6 - 5$
Ben Kerkhoff, 7/12
Lawrence, KS
 
              1073714827 (3.0)
$2^{6 \times 5} + 3$
Deborah Kangas, 3/14
Lenexa, KS
     
                    5368709120 (3.0)
$32^6 \times 5$
William Lupton, 7/11
Olathe, KS

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