\( \def\pm{{ ‰}} \def\pmf{{ ‰ \phantom8}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \DeclareMathOperator{\antilog}{antilog} \DeclareMathOperator{\arcsec}{arcsec} \DeclareMathOperator{\csch}{csch} \)

Integermania!

First Four Primes

The first four prime numbers are 2, 3, 5, and 7. 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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PREVIOUS Page, Page 6 (2001-4000), NEXT Page, ... Index to All Pages.

    2002 (2.4)
$\dfrac{7 + 3}{.5\%} + 2$
Steve Wilson, 8/25
Lawrence, KS
  2004 (2.6)
$\dfrac{7 + 3 + 2\%}{.5\%}$
Steve Wilson, 8/25
Lawrence, KS
2005 (2.4)
$\dfrac{2}{(7 + 3)\%\%} + 5$
Steve Wilson, 8/25
Lawrence, KS
  2007 (2.4)
$\dfrac{3 - 2}{5\%\%} + 7$
Steve Wilson, 8/25
Lawrence, KS
    2010 (2.8)
$\dfrac{7.2 - .5}{.\overline{3}\%}$
Steve Wilson, 8/25
Lawrence, KS
          2025 (4.4)
$(7 \times 5 + (\antilog 3)\%)^2$
Bee Moua, 8/25
Leola, PA
         
                2048 (2.6)
$\dfrac{7}{.\overline{3}\%} - 52$
Steve Wilson, 9/08
Raytown, MO
   
                    2060 (2.8)
$\dfrac{7}{.\overline{3}\%} - \dfrac{2}{5\%}$
Steve Wilson, 9/08
Raytown, MO
          2075 (2.6)
$\dfrac{7}{.\overline{3}\%} - 25$
Steve Wilson, 9/08
Raytown, MO
         
                    2090 (2.6)
$\dfrac{7}{.\overline{3}\%} - 5 \times 2$
Steve Wilson, 9/08
Raytown, MO
      2093 (2.6)
$\dfrac{7}{.\overline{3}\%} - 5 - 2$
Steve Wilson, 9/08
Raytown, MO
    2096 (2.8)
$\dfrac{7}{.\overline{3}\%} - \dfrac{2}{.5}$
Steve Wilson, 9/08
Raytown, MO
2097 (2.6)
$\dfrac{7}{.\overline{3}\%} - 5 + 2$
Dave Jones, 3/07
Coventry, England
  2099 (2.8)
$\dfrac{7}{.\overline{3}\%} - 5 \times .2$
Steve Wilson, 9/08
Raytown, MO
2100 (2.2)
$\dfrac{35 + 7}{2\%}$
Dave Jones, 2/07
Coventry, England
  2101 (2.8)
$\dfrac{7}{.\overline{3}\%} + 5 \times .2$
Steve Wilson, 9/08
Raytown, MO
  2103 (2.6)
$\dfrac{7}{.\overline{3}\%} + 5 - 2$
Steve Wilson, 9/08
Raytown, MO
2104 (2.8)
$\dfrac{7}{.\overline{3}\%} + \dfrac{2}{.5}$
Steve Wilson, 9/08
Raytown, MO
    2107 (2.6)
$\dfrac{7}{.\overline{3}\%} + 5 + 2$
Steve Wilson, 9/08
Raytown, MO
    2110 (2.6)
$\dfrac{7}{.\overline{3}\%} + 5 \times 2$
Steve Wilson, 9/08
Raytown, MO
            2116 (3.2)
$\sqrt[.5]{7^2 - 3}$
Bee Moua, 8/25
Leola, PA
       
          2125 (2.6)
$\dfrac{7}{.\overline{3}\%} + 25$
Steve Wilson, 9/08
Raytown, MO
         
          2135 (3.0)
$3^7 - 52$
Steve Wilson, 2/07
Raytown, MO
        2140 (2.8)
$\dfrac{7}{.\overline{3}\%} + \dfrac{2}{5\%}$
Steve Wilson, 9/08
Raytown, MO
    2152 (2.6)
$\dfrac{7}{.\overline{3}\%} + 52$
Steve Wilson, 9/08
Raytown, MO
    2155 (3.0)
$3^7 - 2^5$
Ron Palcic, 9/04
Olathe, KS
         
    2162 (3.0)
$3^7 - 5^2$
Brooke Jones, 3/04
Olathe, KS
               
          2175 (2.0)
$725 \times 3$
Josh Brown, 7/04
Lawrence, KS
  2177 (3.0)
$3^7 - 2 \times 5$
Steve Wilson, 2/07
Raytown, MO
     
        2184 (3.0)
$3^7 + 2 - 5$
Steve Wilson, 2/07
Raytown, MO
  2186 (3.2)
$3^7 - 2 \times .5$
Steve Wilson, 2/07
Raytown, MO
2187 (3.2)
$3^7 \times 2 \times .5$
Steve Wilson, 2/07
Raytown, MO
2188 (3.2)
$3^7 + 2 \times .5$
Steve Wilson, 2/07
Raytown, MO
  2190 (3.0)
$3^7 - 2 + 5$
Steve Wilson, 2/07
Raytown, MO
        2194 (3.0)
$3^7 + 2 + 5$
Steve Wilson, 2/07
Raytown, MO
    2197 (3.0)
$3^7 + 5 \times 2$
Brooke Jones, 3/04
Olathe, KS
     
                  2209 (3.2)
$(7 \times 3! + 5)^2$
Bee Moua, 8/25
Leola, PA
 
    2212 (3.0)
$3^7 + 25$
Steve Wilson, 2/07
Raytown, MO
            2219 (3.0)
$3^7 + 2^5$
Bridget Osei-Bonsu, 11/04
Lenexa, KS
 
                  2239 (3.0)
$3^7 + 52$
Steve Wilson, 2/07
Raytown, MO
 
            2256 (2.0)
$752 \times 3$
Josh Brown, 7/04
Lawrence, KS
       
          2275 (2.0)
$325 \times 7$
Dave Jones, 8/06
Coventry, England
         
                    2300 (2.2)
$\dfrac{53 - 7}{2\%}$
Dave Jones, 2/07
Coventry, England
        2304 (3.4)
$\left(\dfrac{(7 - 3)!}{.5}\right)^2$
Bee Moua, 8/25
Leola, PA
        2309 (3.2)
$3^7 + 5! + 2$
Brooke Jones, 5/04
Olathe, KS
 
            2336 (3.0)
$2^5 \times 73$
Brittney King, 11/07
Olathe, KS
       
              2357 (2.0)
$2357$
Dave Jones, 8/06
Coventry, England
     
          2375 (2.0)
$2375$
Dave Jones, 8/06
Coventry, England
         
          2395 (2.2)
$\dfrac{72}{3\%} - 5$
Dave Jones, 10/06
Coventry, England
2396 (3.2)
$7^{3!-2} - 5$
Phaedra Dowell, 4/05
Roeland Park, KS
      2400 (2.0)
$75 \times 32$
Katie Cooper, 9/04
Stilwell, KS
  2401 (3.0)
$7^{5+2-3}$
Robert Reid, 5/04
London, England
      2405 (2.2)
$\dfrac{72}{3\%} + 5$
Dave Jones, 10/06
Coventry, England
2406 (3.2)
$7^{3!-2} + 5$
Phaedra Dowell, 4/05
Roeland Park, KS
       
        2464 (2.0)
$352 \times 7$
Dave Jones, 8/06
Coventry, England
           
                2498 (2.2)
$\dfrac{75}{3\%} - 2$
Dave Jones, 10/06
Coventry, England
  2500 (2.2)
$\dfrac{5}{2\%} \times (7 + 3)$
Dave Jones, 2/07
Coventry, England
    2502 (2.2)
$\dfrac{75}{3\%} + 2$
Dave Jones, 10/06
Coventry, England
               
                    2520 (2.0)
$35 \times 72$
Joseph Mavungu, 5/03
Olathe, KS
              2537 (2.0)
$2537$
Dave Jones, 8/06
Coventry, England
    2540 (3.6)
$\dfrac{7!}{2} + \dfrac{5!}{3!}$
Brooke Jones, 5/04
Olathe, KS
      2573 (2.0)
$2573$
Dave Jones, 8/06
Coventry, England
             
      2623 (5.0)
${}_{73} C_2 - 5$
Lucas Rodriguez, 12/04
Lenexa, KS
             
      2643 (2.2)
$\dfrac{53}{2\%} - 7$
Dave Jones, 10/06
Coventry, England
    2646 (3.6)
$\dfrac{7!}{2} + 5! + 3!$
Sydney Barker, 5/03
Stilwell, KS
       
              2657 (2.2)
$\dfrac{53}{2\%} + 7$
Dave Jones, 10/06
Coventry, England
     
          2685 (2.2)
$\dfrac{537}{.2}$
Dave Jones, 10/06
Coventry, England
         
                    2700 (2.2)
$\dfrac{57 - 3}{2\%}$
Dave Jones, 2/07
Coventry, England
          2735 (2.0)
$2735$
Dave Jones, 8/06
Coventry, England
         
        2744 (3.0)
$(7 + 5 + 2)^3$
Bridget Osei-Bonsu, 9/04
Lenexa, KS
           
      2753 (2.0)
$2753$
Dave Jones, 8/06
Coventry, England
             
                    2800 (2.2)
$\dfrac{7}{2\%} \times (5 + 3)$
Dave Jones, 2/07
Coventry, England
    2802 (3.0)
$53^2 - 7$
Zach Burger, 4/05
Overland Park, KS
               
              2847 (2.2)
$\dfrac{57}{2\%} - 3$
Dave Jones, 10/06
Coventry, England
     
      2853 (2.2)
$\dfrac{57}{2\%} + 3$
Dave Jones, 10/06
Coventry, England
             
          2865 (2.2)
$\dfrac{573}{.2}$
Dave Jones, 10/06
Coventry, England
         
                    2920 (2.2)
$73 \times \dfrac{2}{5\%}$
Dave Jones, 10/06
Coventry, England
                    3000 (2.2)
$\dfrac{57 + 3}{2\%}$
Dave Jones, 2/07
Coventry, England
                    3220 (2.2)
$\dfrac{7}{5\%} \times 23$
Dave Jones, 2/07
Coventry, England
              3257 (2.0)
$3257$
Dave Jones, 8/06
Coventry, England
     
          3275 (2.0)
$3275$
Dave Jones, 8/06
Coventry, England
         
                    3400 (2.2)
$\dfrac{73 - 5}{2\%}$
Dave Jones, 2/07
Coventry, England
    3402 (3.0)
$3^5 \times 7 \times 2$
Steve Wilson, 2/07
Raytown, MO
               
                    3430 (3.0)
$7^3 \times 5 \times 2$
Bridget Osei-Bonsu, 10/04
Lenexa, KS
            3506 (2.6)
$\dfrac{7}{.2\%} + \dfrac{3}{.5}$
Dave Jones, 3/07
Coventry, England
       
              3527 (2.0)
$3527$
Dave Jones, 8/06
Coventry, England
     
    3572 (2.0)
$3572$
Dave Jones, 8/06
Coventry, England
               
                    3600 (2.2)
$\dfrac{75 - 3}{2\%}$
Dave Jones, 2/07
Coventry, England
          3615 (2.0)
$723 \times 5$
Dave Jones, 8/06
Coventry, England
         
          3645 (2.2)
$\dfrac{73}{2\%} - 5$
Dave Jones, 2/07
Coventry, England
         
          3655 (2.2)
$\dfrac{73}{2\%} + 5$
Dave Jones, 2/07
Coventry, England
        3660 (2.0)
$732 \times 5$
Dave Jones, 8/06
Coventry, England
  3661 (2.0)
$523 \times 7$
Dave Jones, 8/06
Coventry, England
                 
          3675 (2.2)
$\dfrac{735}{.2}$
Dave Jones, 2/07
Coventry, England
         
        3724 (2.0)
$532 \times 7$
Dave Jones, 8/06
Coventry, England
3725 (2.0)
$3725$
Dave Jones, 8/06
Coventry, England
         
              3747 (2.2)
$\dfrac{75}{2\%} - 3$
Dave Jones, 2/07
Coventry, England
     
    3752 (2.0)
$3752$
Dave Jones, 8/06
Coventry, England
3753 (2.2)
$\dfrac{75}{2\%} + 3$
Dave Jones, 2/07
Coventry, England
             
          3765 (2.2)
$\dfrac{753}{.2}$
Dave Jones, 2/07
Coventry, England
         
            3796 (2.0)
$52 \times 73$
Dave Jones, 8/06
Coventry, England
      3800 (2.2)
$\dfrac{2}{3\%} \times 57$
Dave Jones, 2/07
Coventry, England
            3816 (2.0)
$72 \times 53$
Cate Henderson, 5/05
Merriam, KS
       
                    3900 (2.2)
$\dfrac{75 + 3}{2\%}$
Dave Jones, 2/07
Coventry, England

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