## 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.

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 (1201-1600), Page 5 (1601+).

 1610 (2.8) $\dfrac{3.5\overline{7}}{.\overline{2}\%}$ Steve Wilson, 11/07Raytown, MO 1620 (2.2) $\dfrac{3}{5\%} \times 27$ Dave Jones, 7/06Coventry, England 1635 (2.0) $327 \times 5$ Dave Jones, 7/06Coventry, England 1645 (2.0) $235 \times 7$ John Kite, 3/03Lenexa, KS 1687 (3.0) $(3^5 - 2) \times 7$ Steve Wilson, 2/07Raytown, MO 1699 (3.0) $3^5 \times 7 - 2$ Steve Wilson, 2/07Raytown, MO 1700 (3.0) $\dfrac{7}{.\overline{3}\%} - \dfrac{2}{.5\%}$ Steve Wilson, 9/08Raytown, MO 1703 (3.0) $3^5 \times 7 + 2$ Steve Wilson, 2/07Raytown, MO 1705 (3.0) $(7^3 - 2) \times 5$ Steve Wilson, 2/07Raytown, MO 1713 (3.0) $7^3 \times 5 - 2$ Bridget Osei-Bonsu, 10/04Lenexa, KS 1714 (3.2) $(7^3 - .2) \times 5$ Steve Wilson, 2/07Raytown, MO 1715 (3.0) $35 \times 7^2$ Katie Cooper, 9/04Stilwell, KS 1716 (2.0) $572 \times 3$ Josh Brown, 7/04Lawrence, KS 1717 (3.0) $7^3 \times 5 + 2$ Bridget Osei-Bonsu, 10/04Lenexa, KS 1725 (2.0) $23 \times 75$ Dave Jones, 7/06Coventry, England 1728 (3.2) $(7 + \sqrt{25})^3$ Kimberly Grosdidier, 12/05Eudora, KS 1729 (2.2) $7 \times \left( \dfrac{5}{2\%} - 3 \right)$ Dave Jones, 7/06Coventry, England 1735 (2.2) $5 \times \left( \dfrac{7}{2\%} - 3 \right)$ Dave Jones, 7/06Coventry, England 1743 (2.2) $\dfrac{35}{2\%} - 7$ Dave Jones, 7/06Coventry, England 1747 (2.2) $7 \times \dfrac{5}{2\%} - 3$ Dave Jones, 7/06Coventry, England 1750 (3.0) $5^3 \times 2 \times 7$ Steve Wilson, 2/07Raytown, MO 1753 (2.2) $7 \times \dfrac{5}{2\%} + 3$ Dave Jones, 7/06Coventry, England 1757 (2.2) $\dfrac{35}{2\%} + 7$ Dave Jones, 7/06Coventry, England 1765 (2.2) $5 \times \left( \dfrac{7}{2\%} + 3 \right)$ Dave Jones, 7/06Coventry, England 1771 (2.0) $253 \times 7$ Dave Jones, 7/06Coventry, England 1785 (2.2) $\dfrac{357}{.2}$ Dave Jones, 7/06Coventry, England 1800 (2.2) $\dfrac{3}{2\%} \times (7 + 5)$ Dave Jones, 7/06Coventry, England 1824 (2.0) $57 \times 32$ Joseph Mavungu, 5/03Olathe, KS 1825 (2.0) $25 \times 73$ Dave Jones, 8/06Coventry, England 1845 (2.2) $\dfrac{37}{2\%} - 5$ Dave Jones, 10/06Coventry, England 1850 (2.8) $\dfrac{7}{.\overline{3}\%} - \dfrac{5}{2\%}$ Steve Wilson, 9/08Raytown, MO 1855 (2.2) $\dfrac{37}{2\%} + 5$ Dave Jones, 10/06Coventry, England 1860 (2.0) $372 \times 5$ Dave Jones, 8/06Coventry, England 1875 (2.2) $\dfrac{375}{.2}$ Dave Jones, 10/06Coventry, England 1898 (2.2) $\dfrac{57}{3\%} - 2$ Dave Jones, 10/06Coventry, England 1900 (2.2) $\dfrac{5 \times 7 + 3}{2\%}$ Dave Jones, 2/07Coventry, England 1902 (2.2) $\dfrac{57}{3\%} + 2$ Dave Jones, 10/06Coventry, England 1920 (3.0) $2^7 \times 5 \times 3$ Cate Henderson, 3/05Merriam, KS 1924 (2.0) $52 \times 37$ Cate Henderson, 5/05Merriam, KS 2048 (2.6) $\dfrac{7}{.\overline{3}\%} - 52$ Steve Wilson, 9/08Raytown, MO 2060 (2.8) $\dfrac{7}{.\overline{3}\%} - \dfrac{2}{5\%}$ Steve Wilson, 9/08Raytown, MO 2075 (2.6) $\dfrac{7}{.\overline{3}\%} - 25$ Steve Wilson, 9/08Raytown, MO 2090 (2.6) $\dfrac{7}{.\overline{3}\%} - 5 \times 2$ Steve Wilson, 9/08Raytown, MO 2093 (2.6) $\dfrac{7}{.\overline{3}\%} - 5 - 2$ Steve Wilson, 9/08Raytown, MO 2096 (2.8) $\dfrac{7}{.\overline{3}\%} - \dfrac{2}{.5}$ Steve Wilson, 9/08Raytown, MO 2097 (2.6) $\dfrac{7}{.\overline{3}\%} - 5 + 2$ Dave Jones, 3/07Coventry, England 2099 (2.8) $\dfrac{7}{.\overline{3}\%} - 5 \times .2$ Steve Wilson, 9/08Raytown, MO 2100 (2.2) $\dfrac{35 + 7}{2\%}$ Dave Jones, 2/07Coventry, England 2101 (2.8) $\dfrac{7}{.\overline{3}\%} + 5 \times .2$ Steve Wilson, 9/08Raytown, MO 2103 (2.6) $\dfrac{7}{.\overline{3}\%} + 5 - 2$ Steve Wilson, 9/08Raytown, MO 2104 (2.8) $\dfrac{7}{.\overline{3}\%} + \dfrac{2}{.5}$ Steve Wilson, 9/08Raytown, MO 2107 (2.6) $\dfrac{7}{.\overline{3}\%} + 5 + 2$ Steve Wilson, 9/08Raytown, MO 2110 (2.6) $\dfrac{7}{.\overline{3}\%} + 5 \times 2$ Steve Wilson, 9/08Raytown, MO 2125 (2.6) $\dfrac{7}{.\overline{3}\%} + 25$ Steve Wilson, 9/08Raytown, MO 2135 (3.0) $3^7 - 52$ Steve Wilson, 2/07Raytown, MO 2140 (2.8) $\dfrac{7}{.\overline{3}\%} + \dfrac{2}{5\%}$ Steve Wilson, 9/08Raytown, MO 2152 (2.6) $\dfrac{7}{.\overline{3}\%} + 52$ Steve Wilson, 9/08Raytown, MO 2155 (3.0) $3^7 - 2^5$ Ron Palcic, 9/04Olathe, KS 2162 (3.0) $3^7 - 5^2$ Brooke Jones, 3/04Olathe, KS 2175 (2.0) $725 \times 3$ Josh Brown, 7/04Lawrence, KS 2177 (3.0) $3^7 - 2 \times 5$ Steve Wilson, 2/07Raytown, MO 2184 (3.0) $3^7 + 2 - 5$ Steve Wilson, 2/07Raytown, MO 2186 (3.2) $3^7 - 2 \times .5$ Steve Wilson, 2/07Raytown, MO 2187 (3.2) $3^7 \times 2 \times .5$ Steve Wilson, 2/07Raytown, MO 2188 (3.2) $3^7 + 2 \times .5$ Steve Wilson, 2/07Raytown, MO 2190 (3.0) $3^7 - 2 + 5$ Steve Wilson, 2/07Raytown, MO 2194 (3.0) $3^7 + 2 + 5$ Steve Wilson, 2/07Raytown, MO 2197 (3.0) $3^7 + 5 \times 2$ Brooke Jones, 3/04Olathe, KS 2212 (3.0) $3^7 + 25$ Steve Wilson, 2/07Raytown, MO 2219 (3.0) $3^7 + 2^5$ Bridget Osei-Bonsu, 11/04Lenexa, KS 2239 (3.0) $3^7 + 52$ Steve Wilson, 2/07Raytown, MO 2256 (2.0) $752 \times 3$ Josh Brown, 7/04Lawrence, KS 2275 (2.0) $325 \times 7$ Dave Jones, 8/06Coventry, England 2300 (2.2) $\dfrac{53 - 7}{2\%}$ Dave Jones, 2/07Coventry, England 2309 (3.2) $3^7 + 5! + 2$ Brooke Jones, 5/04Olathe, KS 2336 (3.0) $2^5 \times 73$ Brittney King, 11/07Olathe, KS 2357 (2.0) $2357$ Dave Jones, 8/06Coventry, England 2375 (2.0) $2375$ Dave Jones, 8/06Coventry, England 2395 (2.2) $\dfrac{72}{3\%} - 5$ Dave Jones, 10/06Coventry, England 2396 (3.2) $7^{3!-2} - 5$ Phaedra Dowell, 4/05Roeland Park, KS 2400 (2.0) $75 \times 32$ Katie Cooper, 9/04Stilwell, KS 2401 (3.0) $7^{5+2-3}$ Robert Reid, 5/04London, England 2405 (2.2) $\dfrac{72}{3\%} + 5$ Dave Jones, 10/06Coventry, England 2406 (3.2) $7^{3!-2} + 5$ Phaedra Dowell, 4/05Roeland Park, KS 2464 (2.0) $352 \times 7$ Dave Jones, 8/06Coventry, England 2498 (2.2) $\dfrac{75}{3\%} - 2$ Dave Jones, 10/06Coventry, England 2500 (2.2) $\dfrac{5}{2\%} \times (7 + 3)$ Dave Jones, 2/07Coventry, England 2502 (2.2) $\dfrac{75}{3\%} + 2$ Dave Jones, 10/06Coventry, England 2520 (2.0) $35 \times 72$ Joseph Mavungu, 5/03Olathe, KS 2537 (2.0) $2537$ Dave Jones, 8/06Coventry, England 2540 (3.6) $\dfrac{7!}{2} + \dfrac{5!}{3!}$ Brooke Jones, 5/04Olathe, KS 2573 (2.0) $2573$ Dave Jones, 8/06Coventry, England 2623 (5.0) ${}_{73} C_2 - 5$ Lucas Rodriguez, 12/04Lenexa, KS 2643 (2.2) $\dfrac{53}{2\%} - 7$ Dave Jones, 10/06Coventry, England 2646 (3.6) $\dfrac{7!}{2} + 5! + 3!$ Sydney Barker, 5/03Stilwell, KS 2657 (2.2) $\dfrac{53}{2\%} + 7$ Dave Jones, 10/06Coventry, England 2685 (2.2) $\dfrac{537}{.2}$ Dave Jones, 10/06Coventry, England 2700 (2.2) $\dfrac{57 - 3}{2\%}$ Dave Jones, 2/07Coventry, England 2735 (2.0) $2735$ Dave Jones, 8/06Coventry, England 2744 (3.0) $(7 + 5 + 2)^3$ Bridget Osei-Bonsu, 9/04Lenexa, KS 2753 (2.0) $2753$ Dave Jones, 8/06Coventry, England 2800 (2.2) $\dfrac{7}{2\%} \times (5 + 3)$ Dave Jones, 2/07Coventry, England 2802 (3.0) $53^2 - 7$ Zach Burger, 4/05Overland Park, KS 2847 (2.2) $\dfrac{57}{2\%} - 3$ Dave Jones, 10/06Coventry, England 2853 (2.2) $\dfrac{57}{2\%} + 3$ Dave Jones, 10/06Coventry, England 2865 (2.2) $\dfrac{573}{.2}$ Dave Jones, 10/06Coventry, England 2920 (2.2) $73 \times \dfrac{2}{5\%}$ Dave Jones, 10/06Coventry, England 3000 (2.2) $\dfrac{57 + 3}{2\%}$ Dave Jones, 2/07Coventry, England 3220 (2.2) $\dfrac{7}{5\%} \times 23$ Dave Jones, 2/07Coventry, England 3257 (2.0) $3257$ Dave Jones, 8/06Coventry, England 3275 (2.0) $3275$ Dave Jones, 8/06Coventry, England 3400 (2.2) $\dfrac{73 - 5}{2\%}$ Dave Jones, 2/07Coventry, England 3402 (3.0) $3^5 \times 7 \times 2$ Steve Wilson, 2/07Raytown, MO 3430 (3.0) $7^3 \times 5 \times 2$ Bridget Osei-Bonsu, 10/04Lenexa, KS 3506 (2.6) $\dfrac{7}{.2\%} + \dfrac{3}{.5}$ Dave Jones, 3/07Coventry, England 3527 (2.0) $3527$ Dave Jones, 8/06Coventry, England 3572 (2.0) $3572$ Dave Jones, 8/06Coventry, England 3600 (2.2) $\dfrac{75 - 3}{2\%}$ Dave Jones, 2/07Coventry, England 3615 (2.0) $723 \times 5$ Dave Jones, 8/06Coventry, England 3645 (2.2) $\dfrac{73}{2\%} - 5$ Dave Jones, 2/07Coventry, England 3655 (2.2) $\dfrac{73}{2\%} + 5$ Dave Jones, 2/07Coventry, England 3660 (2.0) $732 \times 5$ Dave Jones, 8/06Coventry, England 3661 (2.0) $523 \times 7$ Dave Jones, 8/06Coventry, England 3675 (2.2) $\dfrac{735}{.2}$ Dave Jones, 2/07Coventry, England 3724 (2.0) $532 \times 7$ Dave Jones, 8/06Coventry, England 3725 (2.0) $3725$ Dave Jones, 8/06Coventry, England 3747 (2.2) $\dfrac{75}{2\%} - 3$ Dave Jones, 2/07Coventry, England 3752 (2.0) $3752$ Dave Jones, 8/06Coventry, England 3753 (2.2) $\dfrac{75}{2\%} + 3$ Dave Jones, 2/07Coventry, England 3765 (2.2) $\dfrac{753}{.2}$ Dave Jones, 2/07Coventry, England 3796 (2.0) $52 \times 73$ Dave Jones, 8/06Coventry, England 3800 (2.2) $\dfrac{2}{3\%} \times 57$ Dave Jones, 2/07Coventry, England 3816 (2.0) $72 \times 53$ Cate Henderson, 5/05Merriam, KS 3900 (2.2) $\dfrac{75 + 3}{2\%}$ Dave Jones, 2/07Coventry, England 4093 (3.0) $2^{7+5} - 3$ Jackson Jennings, 3/15Shawnee, KS 4099 (3.0) $2^{7+5} + 3$ Jackson Jennings, 3/15Shawnee, KS 4320 (2.2) $\dfrac{72}{5\%} \times 3$ Dave Jones, 2/07Coventry, England 4375 (3.2) $5^{3!-2} \times 7$ Phaedra Dowell, 4/05Roeland Park, KS 4480 (2.2) $\dfrac{32}{5\%} \times 7$ Dave Jones, 2/07Coventry, England 4500 (2.2) $\dfrac{27}{3\%} \times 5$ Dave Jones, 2/07Coventry, England 4740 (2.2) $\dfrac{237}{5\%}$ Dave Jones, 2/07Coventry, England 4807 (5.0) $\dfrac{ {}_{23} C_5}{7}$ Lucas Rodriguez, 12/04Lenexa, KS 4912 (3.6) $7! - 5! - 3! - 2$ Brooke Jones, 4/04Olathe, KS 5000 (2.2) $\dfrac{75}{3\%} \times 2$ Dave Jones, 2/07Coventry, England 5040 (3.2) $7! + 5 - 3 - 2$ Steve Wilson, 1/09Raytown, MO 5070 (3.2) $7! + 5 \times 3 \times 2$ Brooke Jones, 4/04Olathe, KS 5152 (3.6) $7! + 5! - 3! - 2$ Brooke Jones, 4/04Olathe, KS 5164 (3.6) $7! + 5! + 3! - 2$ Wei Zhang, 7/12Lawrence, KS 5168 (3.6) $7! + 5! + 3! + 2$ Andy Powers, 5/02Basehor, KS 5172 (3.6) $7! + 5! + 3! \times 2$ Ron Palcic, 8/04Olathe, KS 5237 (2.0) $5237$ Dave Jones, 8/06Coventry, England 5250 (2.2) $\dfrac{7}{2\%} \times 5 \times 3$ Dave Jones, 2/07Coventry, England 5273 (2.0) $5273$ Dave Jones, 8/06Coventry, England 5285 (3.2) $7! + 3^5 + 2$ Phaedra Dowell, 1/05Roeland Park, KS 5327 (2.0) $5327$ Dave Jones, 8/06Coventry, England 5334 (3.0) $73^2 + 5$ Brittney King, 9/07Olathe, KS 5372 (2.0) $5372$ Dave Jones, 8/06Coventry, England 5460 (2.2) $\dfrac{273}{5\%}$ Dave Jones, 2/07Coventry, England 5603 (3.0) $\dfrac{7^5 + 2}{3}$ Yuncan Yang, 7/12Lawrence, KS 5628 (3.0) $75^2 + 3$ John Kite, 8/02Lenexa, KS 5723 (2.0) $5723$ Dave Jones, 8/06Coventry, England 5732 (2.0) $5732$ Dave Jones, 8/06Coventry, England 6125 (3.0) $7^2 \times 5^3$ Bridget Osei-Bonsu, 11/04Lenexa, KS 6540 (2.2) $\dfrac{327}{5\%}$ Dave Jones, 2/07Coventry, England 6561 (3.0) $3^5 \times 27$ Adam McAdoo, 5/05Lenexa, KS 6784 (3.0) $2^7 \times 53$ Kimberly Grosdidier, 12/05Eudora, KS 7000 (3.0) $(2 \times 5)^3 \times 7$ David Caton, 9/04Fort Scott, KS 7235 (2.0) $7235$ Dave Jones, 8/06Coventry, England 7253 (2.0) $7253$ Dave Jones, 8/06Coventry, England 7325 (2.0) $7325$ Dave Jones, 8/06Coventry, England 7352 (2.0) $7352$ Dave Jones, 8/06Coventry, England 7440 (2.2) $\dfrac{372}{5\%}$ Dave Jones, 2/07Coventry, England 7523 (2.0) $7523$ Dave Jones, 8/06Coventry, England 7532 (2.0) $7532$ Dave Jones, 8/06Coventry, England 7600 (2.2) $\dfrac{532}{7\%}$ Dave Jones, 2/07Coventry, England 8550 (2.2) $\dfrac{57}{2\%} \times 3$ Dave Jones, 2/07Coventry, England 8575 (3.0) $35^2 \times 7$ Ashley Brewer, 2/02Olathe, KS 9000 (3.0) $72 \times 5^3$ Apollo Okwuone, 12/04Olathe, KS 9250 (2.2) $\dfrac{37}{2\%} \times 5$ Dave Jones, 2/07Coventry, England 9747 (3.0) $57^2 \times 3$ Brittney King, 12/07Olathe, KS 9955 (3.2) $7! \times 2 - 5^3$ Brooke Jones, 5/04Olathe, KS 10080 (3.4) $7 \times 5! \times 3! \times 2$ Wei Zhang, 7/12Lawrence, KS 10800 (3.6) $7! \times 2 + 3! \times 5!$ Brooke Jones, 5/04Olathe, KS 10976 (3.0) $2^5 \times 7^3$ Brittney King, 10/07Olathe, KS 11025 (3.0) $(7 \times 5 \times 3)^2$ Kashmira Sayani, 3/17Overland Park, KS 11250 (2.2) $\dfrac{75}{2\%} \times 3$ Dave Jones, 2/07Coventry, England 12000 (2.2) $\dfrac{72}{3\%} \times 5$ Dave Jones, 2/07Coventry, England 12005 (3.2) $7^{3!-2} \times 5$ Phaedra Dowell, 5/05Roeland Park, KS 12250 (2.2) $\dfrac{35}{2\%} \times 7$ Dave Jones, 2/07Coventry, England 13720 (3.0) $(7 \times 2)^3 \times 5$ David Caton, 10/04Shawnee, KS 14460 (2.2) $\dfrac{723}{5\%}$ Dave Jones, 2/07Coventry, England 14640 (2.2) $\dfrac{732}{5\%}$ Dave Jones, 2/07Coventry, England 15309 (3.0) $7 \times 3^{5+2}$ Alyssa Trembly, 4/15Spring Hill, KS 15478 (3.4) $(7! + 5!) \times 3 - 2$ Long Zhang, 7/12Lawrence, KS 15497 (3.2) $5^{3!} - 2^7$ Phaedra Dowell, 3/05Roeland Park, KS 15618 (3.0) $25^3 - 7$ Kimberly Grosdidier, 12/05Eudora, KS 15632 (3.0) $5^{3 \times 2} + 7$ Lucas Rodriguez, 11/04Lenexa, KS 15753 (3.2) $5^{3!} + 2^7$ Phaedra Dowell, 3/05Roeland Park, KS 16000 (3.0) $2^7 \times 5^3$ Cate Henderson, 5/05Merriam, KS 16384 (3.0) $\left( \dfrac{5+3}{2} \right)^7$ Allan Hackett, 2/04Overland Park, KS 16798 (3.0) $7^5 - 3^2$ Steve Wilson, 2/07Raytown, MO 16799 (3.0) $7^5 - 2^3$ Steve Wilson, 2/07Raytown, MO 16801 (3.0) $7^5 - 3 \times 2$ Steve Wilson, 2/07Raytown, MO 16802 (3.0) $7^5 - 3 - 2$ Steve Wilson, 2/07Raytown, MO 16803 (3.2) $7^5 - 3! + 2$ Steve Wilson, 2/07Raytown, MO 16804 (3.2) $7^5 - \dfrac{3!}{2}$ Steve Wilson, 2/07Raytown, MO 16806 (3.0) $7^5 - 3 + 2$ Steve Wilson, 2/07Raytown, MO 16807 (3.0) $7^5 \times (3 - 2)$ Steve Wilson, 2/07Raytown, MO 16808 (3.0) $7^5 + 3 - 2$ Bridget Osei-Bonsu, 12/04Lenexa, KS 16810 (3.2) $7^5 + \dfrac{3!}{2}$ Steve Wilson, 2/07Raytown, MO 16811 (3.2) $7^5 + 3! - 2$ Phaedra Dowell, 1/05Roeland Park, KS 16812 (3.0) $7^5 + 3 + 2$ Steve Wilson, 2/07Raytown, MO 16813 (3.0) $7^5 + 3 \times 2$ Steve Wilson, 2/07Raytown, MO 16815 (3.0) $7^5 + 2^3$ Chad Schipper, 4/03Prairie Village, KS 16816 (3.0) $7^5 + 3^2$ Steve Wilson, 2/07Raytown, MO 16871 (3.2) $7^5 + 2^{3!}$ Phaedra Dowell, 3/05Roeland Park, KS 16875 (3.0) $75^2 \times 3$ Katie Cooper, 10/04Stilwell, KS 17850 (2.2) $\dfrac{357}{2\%}$ Dave Jones, 2/07Coventry, England 18250 (2.2) $\dfrac{73}{2\%} \times 5$ Dave Jones, 2/07Coventry, England 18550 (2.2) $\dfrac{53}{2\%} \times 7$ Dave Jones, 2/07Coventry, England 18750 (2.2) $\dfrac{375}{2\%}$ Dave Jones, 2/07Coventry, England 19678 (3.0) $27^3 - 5$ Jared Northrup, 4/03Lawrence, KS 19688 (3.0) $27^3 + 5$ Rabeh Ghadiri, 9/08Overland Park, KS 21870 (3.0) $2 \times 5 \times 3^7$ Brittney King, 10/07Olathe, KS 21875 (3.0) $7 \times 5^{3+2}$ Alyssa Trembly, 4/15Spring Hill, KS 26645 (3.0) $73^2 \times 5$ Brittney King, 12/07Olathe, KS 26850 (2.2) $\dfrac{537}{2\%}$ Dave Jones, 2/07Coventry, England 28650 (2.2) $\dfrac{573}{2\%}$ Dave Jones, 2/07Coventry, England 28768 (5.0) $\dfrac{ {}_{32} C_5}{7}$ Lucas Rodriguez, 12/04Lenexa, KS 29241 (3.0) $(57 \times 3)^2$ Kashmira Sayani, 1/17Overland Park, KS 30960 (3.4) $(7! + 5!) \times 3 \times 2$ Wei Zhang, 7/12Lawrence, KS 31104 (3.0) $2^7 \times 3^5$ Bridget Osei-Bonsu, 11/04Lenexa, KS 33617 (3.0) $2 \times 7^5 + 3$ Apollo Okwuone, 12/04Olathe, KS 36750 (2.2) $\dfrac{735}{2\%}$ Dave Jones, 2/07Coventry, England 37650 (2.2) $\dfrac{753}{2\%}$ Dave Jones, 2/07Coventry, England 39064 (3.0) $\dfrac{5^7 + 3}{2}$ Tyler Krieg, 8/12Leawood, KS 50000 (3.0) $\dfrac{(7+3)^5}{2}$ Allan Hackett, 2/04Overland Park, KS 50625 (3.0) $(75 \times 3)^2$ Zach Burger, 5/05Overland Park, KS 54432 (3.0) $(2 \times 3)^5 \times 7$ David Caton, 9/04Fort Scott, KS 69984 (3.0) $2^5 \times 3^7$ Bridget Osei-Bonsu, 11/04Lenexa, KS 78116 (3.0) $5^7 - 3^2$ Bridget Osei-Bonsu, 12/04Lenexa, KS 78117 (3.0) $5^7 - 2^3$ Phaedra Dowell, 1/05Roeland Park, KS 78119 (3.0) $5^7 - 2 \times 3$ Brooke Jones, 3/04Olathe, KS 78120 (3.0) $5^7 - 3 - 2$ Steve Wilson, 2/07Raytown, MO 78124 (3.0) $5^7 - 3 + 2$ Steve Wilson, 2/07Raytown, MO 78125 (3.0) $5^7 \times (3 - 2)$ Steve Wilson, 2/07Raytown, MO 78126 (3.0) $5^7 + 3 - 2$ Steve Wilson, 2/07Raytown, MO 78130 (3.0) $5^7 + 3 + 2$ Steve Wilson, 2/07Raytown, MO 78131 (3.0) $5^7 + 3 \times 2$ Steve Wilson, 2/07Raytown, MO 78133 (3.0) $5^7 + 2^3$ Phaedra Dowell, 1/05Roeland Park, KS 78134 (3.0) $5^7 + 3^2$ Brooke Jones, 2/04Olathe, KS 84035 (3.0) $5 \times 7^{3+2}$ Alyssa Trembly, 4/15Spring Hill, KS 85050 (3.2) $3^5 \times \dfrac{7}{2\%}$ Jordan Pfeiffer, 6/12Mission Woods, KS 85750 (3.0) $(7 \times 5)^3 \times 2$ David Caton, 10/04Shawnee, KS 98415 (3.0) $27^3 \times 5$ Brittney King, 12/07Olathe, KS 100842 (3.0) $7^5 \times 3 \times 2$ Brittney King, 11/07Olathe, KS 103200 (3.6) $\dfrac{7! + 5!}{(3 + 2)\%}$ Long Zhang, 7/12Lawrence, KS 109375 (3.0) $25^3 \times 7$ Kimberly Grosdidier, 12/05Eudora, KS 113724 (3.0) $3^7 \times 52$ Brittney King, 11/07Olathe, KS 117624 (3.2) $7^{3!} - 5^2$ Phaedra Dowell, 3/05Roeland Park, KS 117674 (3.2) $7^{3!} + 5^2$ Phaedra Dowell, 3/05Roeland Park, KS 126150 (3.4) $5^2 \times (7! + 3!)$ Brooke Jones, 5/04Olathe, KS 127449 (3.0) $357^2$ Tim Murphy, 5/03Olathe, KS 134456 (3.0) $7^5 \times 2^3$ Bridget Osei-Bonsu, 11/04Lenexa, KS 288369 (3.0) $537^2$ Brooke Jones, 2/04Olathe, KS 343000 (3.0) $(7 \times 5 \times 2)^3$ Bridget Osei-Bonsu, 12/04Lenexa, KS 370386 (3.0) $57^3 \times 2$ Katie Cooper, 9/04Stilwell, KS 393660 (3.2) $\dfrac{27^3}{5\%}$ Jordan Pfeiffer, 6/12Mission Woods, KS 413343 (3.0) $7 \times 3^{2 \times 5}$ Jordan Pfeiffer, 6/12Mission Woods, KS 468750 (3.0) $2 \times 3 \times 5^7$ Cassandra McLeod, 4/02Overland Park, KS 537824 (3.0) $7^5 \times 32$ Katie Cooper, 8/04Stilwell, KS 567009 (3.0) $753^2$ Brittney King, 9/07Olathe, KS 588245 (3.0) $5 \times 7^{3 \times 2}$ Alyssa Trembly, 4/15Spring Hill, KS 604812 (3.6) $2 \times 3! + 5! \times 7!$ Brooke Jones, 4/04Olathe, KS 703125 (3.0) $5^7 \times 3^2$ Bridget Osei-Bonsu, 12/04Lenexa, KS 843750 (3.0) $75^3 \times 2$ Brittney King, 9/07Olathe, KS 984256 (3.0) $52^3 \times 7$ Brittney King, 12/07Olathe, KS 1048576 (3.0) $(7 - 3)^{5 \times 2}$ Allan Hackett, 2/04Overland Park, KS 1796875 (3.0) $23 \times 5^7$ Brittney King, 10/07Olathe, KS 1866240 (3.0) $72^3 \times 5$ Brittney King, 9/07Olathe, KS 2460375 (3.0) $(27 \times 5)^3$ Kashmira Sayani, 4/17Overland Park, KS 2500000 (3.0) $5^7 \times 32$ Brittney King, 11/07Olathe, KS 2521050 (3.2) $7^5 \times \dfrac{3}{2\%}$ Jordan Pfeiffer, 6/12Mission Woods, KS 2985984 (3.0) $(7 + 5)^{3 \times 2}$ Allan Hackett, 2/04Overland Park, KS 3628821 (3.2) $(5 \times 2)! + 7 \times 3$ Phaedra Dowell, 1/05Roeland Park, KS 8168202 (3.0) $(7 \times 3)^5 \times 2$ David Caton, 10/04Shawnee, KS 16974593 (3.0) $257^3$ Tim Murphy, 5/03Olathe, KS 24300000 (3.0) $(23 + 7)^5$ Katie Cooper, 11/04Stilwell, KS 40346721 (3.0) $27^5 \times 3$ Jordan Pfeiffer, 6/12Mission Woods, KS 45054401 (3.0) $23^5 \times 7$ Phaedra Dowell, 2/05Roeland Park, KS 52521875 (3.0) $(7 \times 5)^{3+2}$ Alyssa Trembly, 4/15Spring Hill, KS 187149248 (3.0) $572^3$ Brittney King, 11/07Olathe, KS 234881024 (3.0) $32^5 \times 7$ Brittney King, 12/07Olathe, KS 244140618 (3.2) $5^{3! \times 2} - 7$ Phaedra Dowell, 5/05Roeland Park, KS 244140632 (3.2) $5^{3! \times 2} + 7$ Phaedra Dowell, 5/05Roeland Park, KS 341718750 (3.0) $(5 \times 3)^7 \times 2$ David Caton, 10/04Shawnee, KS 425259008 (3.0) $752^3$ Apollo Okwuone, 12/04Olathe, KS 1073741817 (3.2) $2^{3! \times 5} - 7$ Phaedra Dowell, 5/05Roeland Park, KS 1073741831 (3.2) $2^{3! \times 5} + 7$ Phaedra Dowell, 5/05Roeland Park, KS 1838265625 (3.0) $(7 \times 5)^{3 \times 2}$ Cassandra McLeod, 5/02Overland Park, KS 3404825327 (3.2) $23^7 - 5!$ Phaedra Dowell, 2/05Roeland Park, KS 3404825567 (3.2) $23^7 + 5!$ Phaedra Dowell, 2/05Roeland Park, KS 4146143186 (3.0) $73^5 \times 2$ Brittney King, 9/07Olathe, KS 6103515619 (3.2) $25^7 - 3!$ Phaedra Dowell, 2/05Roeland Park, KS 6103515631 (3.2) $25^7 + 3!$ Phaedra Dowell, 2/05Roeland Park, KS 7256313856 (3.6) $\left( \dfrac{7!}{5!} + 2 \right)^{3!}$ Rabeh Ghadiri, 12/08Overland Park, KS 34359738361 (3.0) $2^{35} - 7$ Lucas Rodriguez, 11/04Lenexa, KS googol (3.4) $\sqrt[5\% \times .2]{7 + 3}$ Anders Skjäl, 2/04Turku, Finland googolplex (5.4) $(7 + 3)^{ \sqrt[-5\%]{\tan \operatorname{arcsec} \sqrt{2} \% ‰}}$ Ralph Jeffords, 2/09Centreville, VA

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