\( \def\pm{{ ‰}} \def\pmf{{ ‰ \phantom8}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \DeclareMathOperator{\antilog}{antilog} \DeclareMathOperator{\arcsec}{arcsec} \DeclareMathOperator{\csch}{csch} \)
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.
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 |
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2025 (4.4) $(7 \times 5 + (\antilog 3)\%)^2$ Bee Moua, 8/25 Leola, PA |
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2048 (2.6) $\dfrac{7}{.\overline{3}\%} - 52$ Steve Wilson, 9/08 Raytown, MO |
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2060 (2.8) $\dfrac{7}{.\overline{3}\%} - \dfrac{2}{5\%}$ Steve Wilson, 9/08 Raytown, MO |
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2075 (2.6) $\dfrac{7}{.\overline{3}\%} - 25$ Steve Wilson, 9/08 Raytown, MO |
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2090 (2.6) $\dfrac{7}{.\overline{3}\%} - 5 \times 2$ Steve Wilson, 9/08 Raytown, MO |
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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 |
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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 |
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2116 (3.2) $\sqrt[.5]{7^2 - 3}$ Bee Moua, 8/25 Leola, PA |
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2125 (2.6) $\dfrac{7}{.\overline{3}\%} + 25$ Steve Wilson, 9/08 Raytown, MO |
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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 |
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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 |
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2162 (3.0) $3^7 - 5^2$ Brooke Jones, 3/04 Olathe, KS |
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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 |
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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 |
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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 |
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2209 (3.2) $(7 \times 3! + 5)^2$ Bee Moua, 8/25 Leola, PA |
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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 |
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2239 (3.0) $3^7 + 52$ Steve Wilson, 2/07 Raytown, MO |
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2256 (2.0) $752 \times 3$ Josh Brown, 7/04 Lawrence, KS |
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2275 (2.0) $325 \times 7$ Dave Jones, 8/06 Coventry, England |
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2300 (2.2) $\dfrac{53 - 7}{2\%}$ Dave Jones, 2/07 Coventry, England |
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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 |
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2336 (3.0) $2^5 \times 73$ Brittney King, 11/07 Olathe, KS |
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2357 (2.0) $2357$ Dave Jones, 8/06 Coventry, England |
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2375 (2.0) $2375$ Dave Jones, 8/06 Coventry, England |
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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 |
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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 |
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2464 (2.0) $352 \times 7$ Dave Jones, 8/06 Coventry, England |
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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 |
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2502 (2.2) $\dfrac{75}{3\%} + 2$ Dave Jones, 10/06 Coventry, England |
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2520 (2.0) $35 \times 72$ Joseph Mavungu, 5/03 Olathe, KS |
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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 |
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2573 (2.0) $2573$ Dave Jones, 8/06 Coventry, England |
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2623 (5.0) ${}_{73} C_2 - 5$ Lucas Rodriguez, 12/04 Lenexa, KS |
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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 |
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2657 (2.2) $\dfrac{53}{2\%} + 7$ Dave Jones, 10/06 Coventry, England |
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2685 (2.2) $\dfrac{537}{.2}$ Dave Jones, 10/06 Coventry, England |
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2700 (2.2) $\dfrac{57 - 3}{2\%}$ Dave Jones, 2/07 Coventry, England |
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2735 (2.0) $2735$ Dave Jones, 8/06 Coventry, England |
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2744 (3.0) $(7 + 5 + 2)^3$ Bridget Osei-Bonsu, 9/04 Lenexa, KS |
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2753 (2.0) $2753$ Dave Jones, 8/06 Coventry, England |
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2800 (2.2) $\dfrac{7}{2\%} \times (5 + 3)$ Dave Jones, 2/07 Coventry, England |
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2802 (3.0) $53^2 - 7$ Zach Burger, 4/05 Overland Park, KS |
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2847 (2.2) $\dfrac{57}{2\%} - 3$ Dave Jones, 10/06 Coventry, England |
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2853 (2.2) $\dfrac{57}{2\%} + 3$ Dave Jones, 10/06 Coventry, England |
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2865 (2.2) $\dfrac{573}{.2}$ Dave Jones, 10/06 Coventry, England |
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2920 (2.2) $73 \times \dfrac{2}{5\%}$ Dave Jones, 10/06 Coventry, England |
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3000 (2.2) $\dfrac{57 + 3}{2\%}$ Dave Jones, 2/07 Coventry, England |
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3220 (2.2) $\dfrac{7}{5\%} \times 23$ Dave Jones, 2/07 Coventry, England |
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3257 (2.0) $3257$ Dave Jones, 8/06 Coventry, England |
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3275 (2.0) $3275$ Dave Jones, 8/06 Coventry, England |
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3400 (2.2) $\dfrac{73 - 5}{2\%}$ Dave Jones, 2/07 Coventry, England |
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3402 (3.0) $3^5 \times 7 \times 2$ Steve Wilson, 2/07 Raytown, MO |
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3430 (3.0) $7^3 \times 5 \times 2$ Bridget Osei-Bonsu, 10/04 Lenexa, KS |
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3506 (2.6) $\dfrac{7}{.2\%} + \dfrac{3}{.5}$ Dave Jones, 3/07 Coventry, England |
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3527 (2.0) $3527$ Dave Jones, 8/06 Coventry, England |
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3572 (2.0) $3572$ Dave Jones, 8/06 Coventry, England |
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3600 (2.2) $\dfrac{75 - 3}{2\%}$ Dave Jones, 2/07 Coventry, England |
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3615 (2.0) $723 \times 5$ Dave Jones, 8/06 Coventry, England |
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3645 (2.2) $\dfrac{73}{2\%} - 5$ Dave Jones, 2/07 Coventry, England |
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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 |
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3661 (2.0) $523 \times 7$ Dave Jones, 8/06 Coventry, England |
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3675 (2.2) $\dfrac{735}{.2}$ Dave Jones, 2/07 Coventry, England |
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3724 (2.0) $532 \times 7$ Dave Jones, 8/06 Coventry, England |
3725 (2.0) $3725$ Dave Jones, 8/06 Coventry, England |
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3747 (2.2) $\dfrac{75}{2\%} - 3$ Dave Jones, 2/07 Coventry, England |
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3752 (2.0) $3752$ Dave Jones, 8/06 Coventry, England |
3753 (2.2) $\dfrac{75}{2\%} + 3$ Dave Jones, 2/07 Coventry, England |
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3765 (2.2) $\dfrac{753}{.2}$ Dave Jones, 2/07 Coventry, England |
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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 |
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3816 (2.0) $72 \times 53$ Cate Henderson, 5/05 Merriam, KS |
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3900 (2.2) $\dfrac{75 + 3}{2\%}$ Dave Jones, 2/07 Coventry, England |
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