\( \def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \)
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.
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201-1600), Page 5 (1601+)
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 |
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201-1600), Page 5 (1601+)