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The first four natural numbers are 1, 2, 3, and 4. 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.
PREVIOUS Page, Page 4 (1201-10000), NEXT Page, ... Index to All Pages.
| 1201 (2.6) $\dfrac{4}{.\overline{3}\%} + 2 - 1$ Steve Wilson, 8/23 Lawrence, KS |
1202 (2.2) $\dfrac{4 \times 3}{1\%} + 2$ Steve Wilson, 8/23 Lawrence, KS |
1203 (2.6) $\dfrac{4}{.\overline{3}\%} + 2 + 1$ Steve Wilson, 8/23 Lawrence, KS |
1205 (2.8) $\dfrac{4}{.\overline{3}\%} + \dfrac{1}{.2}$ Steve Wilson, 8/23 Lawrence, KS |
1206 (2.2) $3 \times \left( \dfrac{4}{1\%} + 2 \right)$ Steve Wilson, 8/23 Lawrence, KS |
1207 (2.8) $\dfrac{4 + 2\%}{.\overline{3}\%} + 1$ Steve Wilson, 8/23 Lawrence, KS |
1208 (2.2) $4 \times \left( \dfrac{3}{1\%} + 2 \right)$ Steve Wilson, 8/23 Lawrence, KS |
1209 (2.8) $\dfrac{4 + (2 + 1)\%}{.\overline{3}\%}$ Steve Wilson, 8/23 Lawrence, KS |
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| 1212 (2.6) $\dfrac{4}{.\overline{3}\%} + 12$ Steve Wilson, 8/23 Lawrence, KS |
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| 1225 (3.0) $(34 + 1)^2$ Ben Kerkhoff, 7/12 Lawrence, KS |
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| 1234 (2.0) $1234$ Karoly Szalay, 12/09 Ottawa, ON |
1236 (2.0) $412 \times 3$ Tina Redlinger, 10/07 Olathe, KS |
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| 1243 (2.0) $1243$ David Jamison, 11/10 Lawrence, KS |
1248 (2.0) $312 \times 4$ Tina Redlinger, 9/07 Olathe, KS |
1250 (2.4) $\dfrac{3 + 2 \times 1}{.4\%}$ Jordan Pfeiffer, 6/12 Mission Woods, KS |
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| 1260 (3.2) $\dfrac{(3 \times 2 + 1)!}{4}$ Jack Brewer, 9/12 Mission, KS |
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| 1263 (2.0) $421 \times 3$ Tina Redlinger, 9/07 Olathe, KS |
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| 1284 (2.0) $321 \times 4$ Tiffany Copple, 2/07 Overland Park, KS |
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| 1295 (3.0) $(3 \times 2)^4 - 1$ Eric Anderson, 8/09 Overland Park, KS |
1296 (3.0) $(3 \times 2 \times 1)^4$ Eric Anderson, 8/09 Overland Park, KS |
1297 (3.0) $(3 \times 2)^4 + 1$ Eric Anderson, 8/09 Overland Park, KS |
1298 (3.2) $3!^4 + 2 \times 1$ Eamon Devine, 7/12 Lawrence, KS |
1299 (3.2) $(2 + 1)!^4 + 3$ Denise Fernandes, 5/10 Lawrence, KS |
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| 1302 (2.0) $42 \times 31$ Melissa Kuskowski, 3/07 Olathe, KS |
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| 1312 (2.0) $32 \times 41$ Tina Redlinger, 10/07 Olathe, KS |
1320 (3.6) $(4! - 2) \times \dfrac{3!}{.1}$ Steve Wilson, 7/22 Lawrence, KS |
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| 1323 (3.2) $3 \times \sqrt{21^4}$ John Hepfer, 10/07 Shawnee, KS |
1324 (2.0) $1324$ David Jamison, 10/10 Lawrence, KS |
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| 1342 (2.0) $1342$ David Jamison, 10/10 Lawrence, KS |
1344 (3.0) $4^3 \times 21$ Alan Cooke, 8/10 Prairie Village, KS |
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| 1372 (3.0) $\dfrac{14^3}{2}$ Aimee Shupe, 7/09 Lenexa, KS |
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| 1400 (2.2) $\dfrac{42 \times 1}{3\%}$ Hee Do Yoon, 1/12 Overland Park, KS |
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| 1401 (2.2) $\dfrac{42}{3\%} + 1$ Larry Flanagan, 7/12 Lawrence, KS |
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| 1423 (2.0) $1423$ David Jamison, 10/10 Lawrence, KS |
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| 1432 (2.0) $1432$ David Jamison, 10/10 Lawrence, KS |
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| 1444 (3.0) $(41 - 3)^2$ Scott Dixon, 10/07 Lenexa, KS |
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| 1485 (5.0) ${}_{12} C_4 \times 3$ Eamon Devine, 7/12 Lawrence, KS |
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| 1500 (3.4) $(4 + 1) \times \dfrac{3!}{2\%}$ Kellen Horsfall, 7/12 Lawrence, KS |
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| 1550 (2.2) $31 \times \dfrac{2}{4\%}$ Mary A. M., 8/12 Overland Park, KS |
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| 1570 (2.2) $\dfrac{314}{.2}$ Jason Cosentino, 6/12 Lawrence, KS |
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| 1575 (2.2) $21 \times \dfrac{3}{4\%}$ Hee Do Yoon, 10/07 Overland Park, KS |
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| 1600 (3.2) $\dfrac{4^2}{1^3 \%}$ Steve Wilson, 7/22 Lawrence, KS |
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| 1625 (2.4) $\dfrac{3 + \dfrac14 }{.2\%}$ Jordan Pfeiffer, 6/12 Mission Woods, KS |
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| 1678 (3.0) $41^2 - 3$ Aimee Shupe, 7/09 Lenexa, KS |
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| 1684 (3.0) $41^2 + 3$ Scott Dixon, 10/07 Lenexa, KS |
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| 1700 (2.2) $\dfrac{34}{2 \times 1\%}$ Kellen Horsfall, 7/12 Lawrence, KS |
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| 1701 (3.0) $3^4 \times 21$ Elizabeth Waters, 7/12 Lawrence, KS |
1705 (2.2) $\dfrac{341}{.2}$ Jason Cosentino, 6/12 Lawrence, KS |
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| 1724 (3.0) $12^3 - 4$ Alan Cooke, 8/10 Prairie Village, KS |
1728 (3.0) $(14 - 2)^3$ Tien Huynh, 10/10 Olathe, KS |
1729 (3.2) $\left( \dfrac{4!}{2} \right)^3 + 1$ Steve Wilson, 7/22 Lawrence, KS |
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| 1732 (3.0) $12^3 + 4$ Alan Cooke, 8/10 Prairie Village, KS |
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| 1750 (3.2) $\dfrac{14}{.2^3}$ Jack Brewer, 9/12 Mission, KS |
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| 1764 (3.0) $(14 \times 3)^2$ Michele Gaston, 12/10 Olathe, KS |
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| 1848 (3.0) $43^2 - 1$ Eric Millard, 5/07 Olathe, KS |
1849 (3.0) $43^2 \times 1$ Tiffany Copple, 2/07 Overland Park, KS |
1850 (3.0) $43^2 + 1$ Melissa Kuskowski, 4/07 Olathe, KS |
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| 1920 (3.4) $\dfrac{4!^2}{3 \times .1}$ Gongda Fang, 7/12 Lawrence, KS |
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| 1922 (3.2) $31^2 \times \sqrt{4}$ Stacey Henry, 9/10 Overland Park, KS |
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| 1936 (3.0) $(41 + 3)^2$ John Hepfer, 11/07 Shawnee, KS |
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| 1996 (3.2) $\dfrac{2}{.1^3} - 4$ Gongda Fang, 7/12 Lawrence, KS |
1997 (3.4) $\dfrac{.2}{.1^4} - 3$ Gongda Fang, 7/12 Lawrence, KS |
2000 (3.2) $\dfrac{ \left( \dfrac{2}{.1} \right)^3}{4}$ Kenneth Chapman, 5/10 Santa Paula, CA |
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| 2048 (3.0) $\dfrac{2^{13}}{4}$ Mary Tuggle, 8/09 Kansas City, MO |
2049 (3.2) $\dfrac{4^{3!}}{2} + 1$ Matthew Stevens, 4/10 Overland Park, KS |
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| 2134 (2.0) $2134$ David Jamison, 11/10 Lawrence, KS |
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| 2143 (2.0) $2143$ David Jamison, 11/10 Lawrence, KS |
2150 (2.2) $\dfrac{43}{2 \times 1\%}$ Katie Roberts, 6/12 Washington, DC |
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| 2250 (3.2) $\dfrac{1}{4 \pmf} \times 3^2$ Junjie Mao, 6/12 Lawrence, KS |
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| 2314 (2.0) $2314$ David Jamison, 11/10 Lawrence, KS |
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| 2340 (2.2) $\dfrac{234}{.1}$ Jason Cosentino, 6/12 Lawrence, KS |
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| 2341 (2.0) $2341$ David Jamison, 11/10 Lawrence, KS |
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| 2400 (3.4) $(2 + 1) \times \dfrac{4!}{3\%}$ Kellen Horsfall, 7/12 Lawrence, KS |
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| 2401 (3.0) $\left( \dfrac{21}{3} \right)^4$ Tien Huynh, 9/10 Olathe, KS |
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| 2413 (2.0) $2413$ David Jamison, 10/10 Lawrence, KS |
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| 2472 (3.2) $412 \times 3!$ Sara Stites, 7/12 Lawrence, KS |
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| 2526 (3.2) $421 \times 3!$ Shannon O'Neill, 6/12 Lawrence, KS |
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| 2704 (3.0) $(13 \times 4)^2$ Tien Huynh, 9/10 Olathe, KS |
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| 2742 (3.0) $14^3 - 2$ John Hepfer, 11/07 Shawnee, KS |
2746 (3.0) $14^3 + 2$ Tina Redlinger, 10/07 Olathe, KS |
2750 (2.4) $\dfrac{2 + \dfrac34}{.1\%}$ Katie Roberts, 6/12 Washington, DC |
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| 2879 (3.2) $(3 \times 2)! \times 4 - 1$ Harman Tiwana, 11/12 Lenexa, KS |
2880 (3.4) $4 \times (\sqrt{12 \times 3})!$ Cooper Krause, 6/12 Lawrence, KS |
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| 2881 (3.2) $(3 \times 2)! \times 4 + 1$ Harman Tiwana, 11/12 Lenexa, KS |
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| 2952 (3.2) $123 \times 4!$ Ben Kerkhoff, 7/12 Lawrence, KS |
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| 3024 (3.4) $4! \times 3! \times 21$ Tien Huynh, 12/10 Olathe, KS |
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| 3075 (2.2) $\dfrac{123}{4\%}$ Pierre LeGrange, 10/08 Overland Park, KS |
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| 3124 (2.0) $3124$ David Jamison, 12/10 Lawrence, KS |
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| 3142 (2.0) $3142$ David Jamison, 12/10 Lawrence, KS |
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| 3168 (3.2) $132 \times 4!$ Elizabeth Waters, 7/12 Lawrence, KS |
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| 3200 (3.2) $2^3 \times \dfrac{4}{1\%}$ Brett Wolverton, 10/10 Overland Park, KS |
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| 3201 (3.2) $\dfrac{4^3}{2\%} + 1$ Larry Flanagan, 6/12 Lawrence, KS |
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| 3214 (2.0) $3214$ David Jamison, 12/10 Lawrence, KS |
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| 3241 (2.0) $3241$ David Jamison, 12/10 Lawrence, KS |
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| 3300 (2.2) $\dfrac{132}{4\%}$ Melissa Heller, 10/08 Overland Park, KS |
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| 3412 (2.0) $3412$ David Jamison, 12/10 Lawrence, KS |
3420 (2.2) $\dfrac{342}{.1}$ Jason Cosentino, 6/12 Lawrence, KS |
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| 3421 (2.0) $3421$ Bruno Biazetto, 5/17 Overland Park, KS |
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| 3455 (3.4) $4!^2 \times 3! - 1$ Tami Lawler-Bontrager, 11/07 Overland Park, KS |
3456 (3.4) $4!^2 \times 3! \times 1$ Dominic Clemente, 6/12 Lawrence, KS |
3457 (3.4) $4!^2 \times 3! + 1$ Dominic Clemente, 6/12 Lawrence, KS |
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| 3500 (3.6) $\dfrac{2}{1 \pmf} + \dfrac{3!}{4 \pmf}$ Junjie Mao, 6/12 Lawrence, KS |
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| 3600 (3.4) $\dfrac{3!^{4/2}}{1\%}$ Tami Lawler-Bontrager, 11/07 Overland Park, KS |
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| 3844 (3.0) $31^2 \times 4$ Scott Dixon, 12/07 Lenexa, KS |
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| 4032 (3.4) $\left( \dfrac{32}{4} \right)! \times .1$ Cooper Krause, 6/12 Lawrence, KS |
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| 4056 (3.2) $13^2 \times 4!$ Brianne Goldston, 7/12 Cheney, KS |
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| 4093 (3.2) $4^{3!} - 2 - 1$ Matthew Stevens, 4/10 Overland Park, KS |
4094 (3.2) $4^{3!} - 2 \times 1$ Matthew Stevens, 4/10 Overland Park, KS |
4095 (3.0) $4^{3 \times 2} - 1$ Scott Dixon, 12/07 Lenexa, KS |
4096 (3.0) $4^{3 \times 2} \times 1$ Scott Dixon, 12/07 Lenexa, KS |
4097 (3.0) $4^{3 \times 2} + 1$ Scott Dixon, 12/07 Lenexa, KS |
4099 (3.2) $4^3! + 2 + 1$ Sara Stites, 6/12 Lawrence, KS |
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| 4108 (3.2) $4^3! + 12$ Sara Stites, 6/12 Lawrence, KS |
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| 4117 (3.2) $4^3! + 21$ Sara Stites, 6/12 Lawrence, KS |
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| 4123 (2.0) $4123$ Sara Stites, 6/12 Lawrence, KS |
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| 4225 (3.2) $\dfrac{13^2}{4\%}$ Brett Wolverton, 10/10 Overland Park, KS |
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| 4231 (2.0) $4231$ Haoyuan Wu, 6/12 Lawrence, KS |
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| 4302 (2.2) $\dfrac{43}{1\%} + 2$ Brianne Goldston, 7/12 Cheney, KS |
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| 4320 (2.2) $\dfrac{432}{.1}$ Jason Cosentino, 6/12 Lawrence, KS |
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| 4321 (2.0) $4321$ Haoyuan Wu, 6/12 Lawrence, KS |
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| 4800 (3.2) $4^2 \times \dfrac{3}{1\%}$ Brett Wolverton, 10/10 Overland Park, KS |
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| 4913 (3.0) $(21 - 4)^3$ Tien Huynh, 11/10 Olathe, KS |
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| 5043 (3.0) $41^2 \times 3$ Scott Dixon, 10/07 Lenexa, KS |
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| 5325 (2.2) $\dfrac{213}{4\%}$ Pierre LeGrange, 10/08 Overland Park, KS |
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| 5488 (3.0) $14^3 \times 2$ Aimee Shupe, 7/09 Lenexa, KS |
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| 5544 (3.2) $231 \times 4!$ Shannon O'Neill, 6/12 Lawrence, KS |
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| 5750 (2.4) $23 \times \dfrac{1}{.4\%}$ Jordan Pfeiffer, 6/12 Mission Woods, KS |
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| 5775 (2.2) $\dfrac{231}{4\%}$ Melissa Heller, 10/08 Overland Park, KS |
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| 6000 (3.6) $(4! + 3!) \times \dfrac{2}{1\%}$ Larry Flanagan, 6/12 Lawrence, KS |
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| 6398 (3.2) $\dfrac{4^3}{1\%} - 2$ Li-Yu Chen, 7/12 Lawrence, KS |
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| 6402 (3.2) $\dfrac{4^3}{1\%} + 2$ Li-Yu Chen, 7/12 Lawrence, KS |
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| 6560 (3.0) $3^{4 \times 2} - 1$ Eric Anderson, 9/09 Overland Park, KS |
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| 6561 (3.0) $(3 \times 1)^{4 \times 2}$ Eric Anderson, 8/09 Overland Park, KS |
6562 (3.0) $3^{4 \times 2} + 1$ Eric Anderson, 8/09 Overland Park, KS |
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| 6700 (2.2) $\dfrac{134}{2\%}$ Pierre LeGrange, 10/08 Overland Park, KS |
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| 6912 (3.0) $\dfrac{12^4}{3}$ Tiffany Copple, 2/07 Overland Park, KS |
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| 7150 (2.2) $\dfrac{143}{2\%}$ Stacey Henry, 9/10 Overland Park, KS |
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| 7200 (2.2) $24 \times \dfrac{3}{1\%}$ Mary A. M., 8/12 Overland Park, KS |
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| 7704 (3.2) $321 \times 4!$ Nick Evans, 6/12 Lawrence, KS |
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| 7800 (2.2) $\dfrac{312}{4\%}$ Pierre LeGrange, 10/08 Overland Park, KS |
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| 8025 (2.2) $\dfrac{321}{4\%}$ Melissa Heller, 10/08 Overland Park, KS |
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| 8098 (3.2) $\dfrac{3^4}{1\%} - 2$ Li-Yu Chen, 7/12 Lawrence, KS |
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| 8102 (3.2) $\dfrac{3^4}{1\%} + 2$ Larry Flanagan, 6/12 Lawrence, KS |
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| 8188 (3.0) $2^{13} - 4$ Michael Freeman, 12/10 Merriam, KS |
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| 8194 (3.2) $\sqrt{4^{13}} + 2$ Rabeh Ghadiri, 10/08 Overland Park, KS |
8196 (3.0) $2^{13} + 4$ Michael Freeman, 12/10 Merriam, KS |
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| 8640 (3.6) $\dfrac{(3!)! \times 4!}{2 \times 1}$ Jack Brewer, 9/12 Mission, KS |
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| 9200 (2.2) $23 \times \dfrac{4}{1\%}$ Mary A. M., 8/12 Overland Park, KS |
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| 9257 (3.0) $21^3 - 4$ Scott Dixon, 11/07 Lenexa, KS |
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| 9265 (3.0) $21^3 + 4$ Scott Dixon, 11/07 Lenexa, KS |
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| 9285 (3.2) $21^3 + 4!$ Samantha Maupin, 6/12 Lawrence, KS |
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