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The initials of Johnson County Community College are JCCC. Let us suppose that C=3 and J=10. (C is the third letter of the alphabet, and J is the tenth.) Create each of the positive integers using one copy of 10, three copies of 3, and any standard mathematical operations. All four numbers must be used, but no others. Also, the 10 may not be broken up. 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+).
| 801 (3.6) $(3!)! + \dfrac{\sqrt{3^{10}}}{3}$ Steve Wilson, 9/09 Raytown, MO |
803 (3.6) $\dfrac{(10-3!)!}{3\%} + 3$ Steve Wilson, 11/07 Raytown, MO |
804 (3.6) $\dfrac{\sqrt{3^{10}}}{.3} - 3!$ Steve Wilson, 9/09 Raytown, MO |
806 (3.8) $\dfrac{(10-3!)!}{3\%} + 3!$ Steve Wilson, 11/07 Raytown, MO |
807 (3.4) $\dfrac{\sqrt{3^{10}}}{.3} - 3$ Steve Wilson, 9/09 Raytown, MO |
810 (3.0) $10 \times 3 \times 3^3$ Katie Cooper, 8/04 Stilwell, KS |
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| 813 (3.4) $\dfrac{\sqrt{3^{10}}}{.3} + 3$ Steve Wilson, 9/09 Raytown, MO |
816 (3.6) $\dfrac{\sqrt{3^{10}}}{.3} + 3!$ Steve Wilson, 9/09 Raytown, MO |
820 (3.4) $\dfrac{\sqrt{3^{10}} + 3}{.3}$ Steve Wilson, 9/09 Raytown, MO |
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| 830 (3.6) $\dfrac{\sqrt{3^{10}} + 3!}{.3}$ Steve Wilson, 10/07 Raytown, MO |
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| 834 (3.6) $\dfrac{(10-3)!}{3!} - 3!$ Steve Wilson, 11/07 Raytown, MO |
837 (3.4) $\dfrac{(10-3)!}{3!} - 3$ Steve Wilson, 11/07 Raytown, MO |
839 (3.6) $\dfrac{(10-3)! - 3!}{3!}$ Steve Wilson, 11/07 Raytown, MO |
840 (3.2) $\dfrac{(10-3)!}{3+3}$ Steve Wilson, 11/07 Raytown, MO |
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| 841 (3.6) $\dfrac{(10-3)! + 3!}{3!}$ Steve Wilson, 11/07 Raytown, MO |
843 (3.4) $\dfrac{(10-3)!}{3!} + 3$ Steve Wilson, 11/07 Raytown, MO |
846 (3.6) $\dfrac{(10-3)!}{3!} + 3!$ Steve Wilson, 11/07 Raytown, MO |
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| 864 (3.4) $3!^3 \times (10 - 3!)$ Steve Wilson, 10/07 Raytown, MO |
870 (2.6) $\dfrac{3}{.\overline{3}\%} - 3 \times 10$ Steve Wilson, 10/07 Raytown, MO |
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| 884 (3.8) $\dfrac{3}{.\overline{3}\%} - 10 - 3!$ Steve Wilson, 10/07 Raytown, MO |
887 (2.6) $\dfrac{3}{.\overline{3}\%} - 3 - 10$ Steve Wilson, 10/07 Raytown, MO |
890 (2.6) $\dfrac{3}{.\overline{33}\%} - 10$ Steve Wilson, 10/07 Raytown, MO |
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| 893 (2.6) $\dfrac{3}{.\overline{3}\%} + 3 - 10$ Steve Wilson, 10/07 Raytown, MO |
896 (3.8) $\dfrac{3}{.\overline{3}\%} - 10 + 3!$ Steve Wilson, 10/07 Raytown, MO |
897 (2.4) $\dfrac{3}{.3\%} - 103$ Steve Wilson, 10/07 Raytown, MO |
900 (2.4) $(3 - .3) \times \dfrac{10}{3\%}$ Steve Wilson, 11/07 Raytown, MO |
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| 903 (2.8) $\dfrac{3}{.\overline{3}\%} + .3 \times 10$ Steve Wilson, 10/07 Raytown, MO |
904 (3.8) $\dfrac{3}{.\overline{3}\%} + 10 - 3!$ Steve Wilson, 10/07 Raytown, MO |
907 (2.6) $\dfrac{3}{.\overline{3}\%} - 3 + 10$ Steve Wilson, 10/07 Raytown, MO |
910 (2.6) $\dfrac{3}{.\overline{33}\%} + 10$ Steve Wilson, 10/07 Raytown, MO |
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| 912 (3.2) $(310 - 3!) \times 3$ Steve Wilson, 10/07 Raytown, MO |
913 (2.6) $\dfrac{3}{.\overline{3}\%} + 3 + 10$ Steve Wilson, 10/07 Raytown, MO |
916 (3.8) $\dfrac{3}{.\overline{3}\%} + 10 + 3!$ Steve Wilson, 10/07 Raytown, MO |
920 (3.8) $(3!)! + 10 \times \dfrac{3!}{.3}$ Steve Wilson, 10/07 Raytown, MO |
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| 921 (2.0) $(310 - 3) \times 3$ Steve Wilson, 5/06 Raytown, MO |
924 (3.2) $310 \times 3 - 3!$ Steve Wilson, 10/07 Raytown, MO |
927 (2.0) $103 \times 3 \times 3$ Desteni Starin, 5/06 Overland Park, KS |
930 (2.6) $\dfrac{3}{.\overline{3}\%} + 3 \times 10$ Steve Wilson, 10/07 Raytown, MO |
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| 933 (2.0) $310 \times 3 + 3$ Steve Wilson, 5/06 Raytown, MO |
936 (3.2) $310 \times 3 + 3!$ Steve Wilson, 10/07 Raytown, MO |
939 (2.0) $(310 + 3) \times 3$ Steve Wilson, 5/06 Raytown, MO |
940 (3.4) $\dfrac{3}{3 ‰} - 3! \times 10$ Steve Wilson, 4/08 Raytown, MO |
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| 948 (3.2) $(310 + 3!) \times 3$ Steve Wilson, 10/07 Raytown, MO |
950 (3.4) $10^3 - \dfrac{3}{3!\%}$ Steve Wilson, 10/07 Raytown, MO |
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| 960 (3.8) $\dfrac{3}{.\overline{3}\%} + 3! \times 10$ Steve Wilson, 10/07 Raytown, MO |
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| 964 (3.4) $10^3 - 3! \times 3!$ Harman Tiwana, 11/12 Lenexa, KS |
970 (2.4) $\dfrac{3}{.3\%} - 3 \times 10$ Steve Wilson, 10/07 Raytown, MO |
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| 972 (3.4) $3^{3!} + \sqrt{3^{10}}$ Steve Wilson, 9/09 Raytown, MO |
973 (3.0) $10^3 - 3^3$ David Caton, 10/04 Shawnee, KS |
980 (3.4) $10^3 - \dfrac{3!}{.3}$ Steve Wilson, 10/07 Raytown, MO |
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| 984 (3.4) $\dfrac{3}{3 ‰} - 3! - 10$ Steve Wilson, 4/08 Raytown, MO |
987 (2.4) $\dfrac{3}{.3\%} - 3 - 10$ Steve Wilson, 10/07 Raytown, MO |
990 (2.0) $33 \times 10 \times 3$ Joseph Mavungu, 4/03 Olathe, KS |
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| 991 (3.0) $10^3 - 3 \times 3$ Cate Henderson, 4/05 Merriam, KS |
993 (2.2) $3310 \times .3$ Steve Wilson, 7/06 Raytown, MO |
994 (3.0) $10^3 - 3 - 3$ Desteni Starin, 5/06 Overland Park, KS |
995 (3.6) $10^3 - \dfrac{.3}{3!\%}$ Steve Wilson, 10/07 Raytown, MO |
996 (3.4) $\dfrac{3}{3 ‰} + 3! - 10$ Steve Wilson, 4/08 Raytown, MO |
997 (2.2) $10 \times \dfrac{3}{3\%} - 3$ Steve Wilson, 11/07 Raytown, MO |
998 (3.2) $10^3 - \dfrac{3!}{3}$ Steve Wilson, 10/07 Raytown, MO |
999 (3.0) $10^3 - \dfrac33$ Jessica Moseley, 5/01 Baldwin, KS |
1000 (3.0) $10^3 \times \dfrac33$ Gustavo Martin del Campo, 4/01 Overland Park, KS |
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| 1001 (3.0) $10^3 + \dfrac33$ Steve Wilson, 10/07 Raytown, MO |
1002 (3.2) $10^3 + \dfrac{3!}{3}$ Steve Wilson, 10/07 Raytown, MO |
1003 (2.2) $10 \times \dfrac{3}{3\%} + 3$ Steve Wilson, 11/07 Raytown, MO |
1004 (3.4) $\dfrac{3}{3 ‰} - 3! + 10$ Steve Wilson, 4/08 Raytown, MO |
1005 (3.6) $10^3 + \dfrac{.3}{3!\%}$ Steve Wilson, 10/07 Raytown, MO |
1006 (3.0) $10^3 + 3 + 3$ Joseph Mavungu, 4/03 Olathe, KS |
1009 (3.0) $10^3 + 3 \times 3$ Adam Petrowsky, 2/03 Lenexa, KS |
1010 (2.4) $\dfrac{10 \times 3 + .3}{3\%}$ Steve Wilson, 11/07 Raytown, MO |
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| 1013 (2.4) $\dfrac{3}{.3\%} + 3 + 10$ Steve Wilson, 11/07 Raytown, MO |
1016 (3.4) $\dfrac{3}{3 ‰} + 3! + 10$ Steve Wilson, 4/08 Raytown, MO |
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| 1023 (2.0) $310 \times 3.3$ Steve Wilson, 7/06 Raytown, MO |
1024 (3.0) $\left( \dfrac{3+3}{3} \right)^{10}$ Robert Reid, 7/04 London, England |
1027 (3.0) $10^3 + 3^3$ Cassie Weatherwax, 2/03 Lawrence, KS |
1030 (2.0) $1033 - 3$ Steve Wilson, 7/06 Raytown, MO |
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| 1033 (3.0) $10^3 + 33$ Nenita Gainer, 3/02 Olathe, KS |
1036 (2.0) $1033 + 3$ Joseph Mavungu, 4/03 Olathe, KS |
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| 1090 (2.2) $\dfrac{33}{3\%} - 10$ Steve Wilson, 11/07 Raytown, MO |
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| 1100 (2.2) $\dfrac{10}{.3} \times 33$ Steve Wilson, 11/07 Raytown, MO |
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| 1103 (2.4) $\dfrac{3}{.3\%} + 103$ Steve Wilson, 11/07 Raytown, MO |
1110 (2.2) $\dfrac{33}{3\%} + 10$ Steve Wilson, 11/07 Raytown, MO |
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| 1210 (2.6) $\dfrac{3}{.\overline{3}\%} + 310$ Steve Wilson, 11/07 Raytown, MO |
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| 1310 (2.4) $\dfrac{3}{.3\%} + 310$ Steve Wilson, 11/07 Raytown, MO |
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| 1512 (3.2) $3!^3 \times (10 - 3)$ Steve Wilson, 10/07 Raytown, MO |
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| 1728 (3.6) $\left( \dfrac{(3!)!}{3! \times 10} \right)^3$ Robert Reid, 7/04 London, England |
1729 (3.2) $3^{3!} + 10^3$ Amelia Rylko, 9/09 Lawrence, KS |
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| 2160 (3.0) $(3 + 3)^3 \times 10$ Seth Musser, 12/10 Overland Park, KS |
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| 2190 (3.4) $10 \times \left( \sqrt{3^{3!}} + 3 \right)$ Rabeh Ghadiri, 12/08 Overland Park, KS |
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| 2194 (3.0) $(10 + 3)^3 - 3$ Leif Muhammad, 2/14 Kansas City, MO |
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| 2781 (3.0) $3^3 \times 103$ Regina Hillman, 10/07 Bucyrus, KS |
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| 2800 (3.6) $\dfrac{10!}{3!^3 \times 3!}$ Ron Palcic, 9/04 Olathe, KS |
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| 2991 (3.0) $3 \times (10^3 - 3)$ Jared Northrup, 3/03 Lawrence, KS |
2997 (3.0) $10^3 \times 3 - 3$ Jessica Moseley, 4/01 Baldwin, KS |
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| 3003 (3.0) $3 \times 10^3 + 3$ Sydney Barker, 2/03 Stilwell, KS |
3009 (3.0) $(10^3 + 3) \times 3$ Jerry Becker, 4/01 Olathe, KS |
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| 3100 (2.0) $3103 - 3$ Desteni Starin, 5/06 Overland Park, KS |
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| 3106 (2.0) $3103 + 3$ Steve Wilson, 7/06 Raytown, MO |
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| 3307 (2.0) $3310 - 3$ Steve Wilson, 7/06 Raytown, MO |
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| 3313 (2.0) $3310 + 3$ Jared Northrup, 5/03 Lawrence, KS |
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| 3330 (2.0) $10 \times 333$ Darren Boss, 3/03 Shawnee, KS |
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| 3399 (2.0) $103 \times 33$ Kimberly Grosdidier, 12/05 Eudora, KS |
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| 6561 (3.0) $\dfrac{3^{10}}{3 \times 3}$ Gustavo Martin del Campo, 2/01 Overland Park, KS |
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| 7290 (3.0) $10 \times (3 \times 3)^3$ David Caton, 10/04 Shawnee, KS |
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| 8000 (3.2) $\left( \dfrac{3! \times 10}{3} \right)^3$ Steve Wilson, 9/23 Lawrence, KS |
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| 9000 (2.4) $\dfrac{3 + 3 + 3}{10\%\%}$ Steve Wilson, 9/23 Lawrence, KS |
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| 9309 (2.0) $3103 \times 3$ Desteni Starin, 5/06 Overland Park, KS |
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| 9930 (2.0) $3310 \times 3$ Desteni Starin, 5/06 Overland Park, KS |
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| 10230 (2.0) $310 \times 33$ Kimberly Grosdidier, 12/05 Eudora, KS |
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| 16800 (3.8) $\dfrac{10!}{3! \times 3! \times 3!}$ Darren Boss, 4/03 Shawnee, KS |
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| 19680 (3.0) $\dfrac{3^{10}}{3} - 3$ Nenita Gainer, 2/02 Olathe, KS |
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| 19683 (3.2) $\dfrac{ \sqrt{(3 \times 3)^{10}}}{3}$ David Caton, 10/04 Shawnee, KS |
19684 (3.0) $\dfrac{3^{10} + 3}{3}$ Sydney Barker, 5/03 Stilwell, KS |
19686 (3.0) $\dfrac{3^{10}}{3} + 3$ Lindsey Johnson, 11/05 Overland Park, KS |
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| 20000 (3.4) $\dfrac{3!}{.3} \times 10^3$ Brian Carmitcheal, 1/05 Olathe, KS |
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| 27000 (3.0) $3^3 \times 10^3$ Sydney Barker, 1/03 Stilwell, KS |
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| 33000 (3.0) $33 \times 10^3$ Kashmira Sayani, 1/17 Overland Park, KS |
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| 35927 (3.0) $33^3 - 10$ Steve Barker, 1/03 Stilwell, KS |
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| 35947 (3.0) $33^3 + 10$ Ashley Brewer, 3/02 Olathe, KS |
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| 59022 (3.0) $3^{10} - 3^3$ Zach Burger, 4/05 Overland Park, KS |
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| 59040 (3.0) $3^{10} - 3 \times 3$ Tim Murphy, 5/03 Olathe, KS |
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| 59049 (3.0) $3^{10} - 3 + 3$ Casey Kappelman, 5/03 Oak Grove, MO |
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| 59055 (3.0) $3^{10} + 3 + 3$ Rahel Frew, 2/07 Olathe, KS |
59058 (3.0) $3^{10} + 3 \times 3$ Rahel Frew, 2/07 Olathe, KS |
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| 59082 (3.0) $3^{10} + 33$ Katie Cooper, 10/04 Stilwell, KS |
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| 59319 (3.0) $(3 \times (10 + 3))^3$ Lindsey Johnson, 11/05 Overland Park, KS |
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| 79507 (3.0) $(10 + 33)^3$ Brian Carmitcheal, 4/05 Olathe, KS |
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| 134400 (3.2) $\dfrac{10!}{3 \times 3 \times 3}$ Rabeh Ghadiri, 11/08 Overland Park, KS |
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| 177150 (3.0) $3 \times 3^{10} + 3$ Sydney Barker, 3/03 Stilwell, KS |
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| 196830 (3.0) $10 \times 3^{3 \times 3}$ Rabeh Ghadiri, 9/08 Overland Park, KS |
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| 201600 (3.8) $\dfrac{10!}{3! + 3! + 3!}$ Tim Murphy, 4/03 Olathe, KS |
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| 359370 (3.0) $33^3 \times 10$ Jerry Becker, 5/01 Olathe, KS |
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| 466560 (3.4) $(3! \times 3!)^3 \times 10$ Seth Musser, 12/10 Overland Park, KS |
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| 729000 (3.0) $(10 \times 3 \times 3)^3$ David Caton, 10/04 Shawnee, KS |
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| 806400 (3.4) $\dfrac{10! \times 3!}{3^3}$ Patrick Weaver, 10/16 Overland Park, KS |
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| 999967 (3.2) $10^{3!} - 33$ Chad Schipper, 5/03 Prairie Village, KS |
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| 1000006 (3.2) $10^{3!} + 3 + 3$ Chad Schipper, 5/03 Prairie Village, KS |
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| 1000033 (3.2) $10^{3!} + 33$ Chad Schipper, 5/03 Prairie Village, KS |
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| 1092724 (3.0) $103^3 - 3$ Lindsey Johnson, 11/05 Overland Park, KS |
1092730 (3.0) $103^3 + 3$ Joseph Mavungu, 5/03 Olathe, KS |
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| 1209595 (3.4) $\dfrac{10! - 3!}{3} - 3$ Brian Carmitcheal, 1/05 Olathe, KS |
1209600 (3.2) $\dfrac{10!}{3} + 3 - 3$ Brian Carmitcheal, 5/05 Olathe, KS |
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| 1209633 (3.2) $\dfrac{10!}{3} + 33$ Brian Carmitcheal, 4/05 Olathe, KS |
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| 1594323 (3.0) $3^3 \times 3^{10}$ Steve Barker, 3/03 Stilwell, KS |
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| 1948617 (3.0) $3^{10} \times 33$ Cassandra McLeod, 4/02 Overland Park, KS |
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| 2419200 (3.4) $\dfrac{10! \times 3!}{3 \times 3}$ Patrick Weaver, 10/16 Overland Park, KS |
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| 3628467 (3.2) $10! - 333$ Tim Murphy, 5/03 Olathe, KS |
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| 3628791 (3.2) $10! - 3 - 3 - 3$ Joseph Mavungu, 4/03 Olathe, KS |
3628794 (3.4) $10! - 3! + 3 - 3$ Seth Musser, 12/10 Overland Park, KS |
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| 3628803 (3.2) $10! + 3 + 3 - 3$ Steve Wilson, 4/11 Raytown, MO |
3628806 (3.4) $10! + 3! + 3 - 3$ Seth Musser, 12/10 Overland Park, KS |
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| 3628827 (3.4) $10! + 33 - 3!$ Brian Carmitcheal, 5/05 Olathe, KS |
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| 3628881 (3.2) $10! + 3 \times 3^3$ Andy Powers, 4/02 Basehor, KS |
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| 3664737 (3.2) $10! + 33^3$ Brian Carmitcheal, 4/05 Olathe, KS |
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| 8000000 (3.4) $\left( 10 \times \dfrac{3!}{.3} \right)^3$ Brian Carmitcheal, 1/05 Olathe, KS |
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| 29790997 (3.0) $310^3 - 3$ Brian Carmitcheal, 4/05 Olathe, KS |
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| 29791006 (3.2) $310^3 + 3!$ Brian Carmitcheal, 4/05 Olathe, KS |
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| 32659200 (3.2) $\dfrac{10! \times 3^3}{3}$ Patrick Weaver, 10/16 Overland Park, KS |
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| 35937000 (3.0) $(10 \times 33)^3$ Kashmira Sayani, 4/17 Overland Park, KS |
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| 60466209 (3.2) $3!^{10} + 33$ Katie Cooper, 12/04 Stilwell, KS |
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| 293932800 (3.2) $10! \times 3^3 \times 3$ Cassandra McLeod, 5/02 Overland Park, KS |
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| 340122240 (3.4) $(3! \times 3)^{3!} \times 10$ Seth Musser, 12/10 Overland Park, KS |
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| 387420489 (3.2) $(10 \times 3 - 3)^{3!}$ Brian Carmitcheal, 1/05 Olathe, KS |
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| 999999997 (3.0) $10^{3 \times 3} - 3$ David Caton, 10/04 Shawnee, KS |
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| 1000000000000000000000000000 (3.0) $10^{3 \times 3 \times 3}$ Kimberly Grosdidier, 12/05 Eudora, KS |
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| googol (3.6) $\sqrt[.\overline{33} \times 3\%]{10}$ Anders Skjäl, 2/04 Turku, Finland |
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| googolplex (3.4) $10^{\sqrt[3\%]{\dfrac{3}{3 ‰}}}$ Paolo Pellegrini, 1/09 Martina Franca, Italy |
Page 1 (1-400), Page 2 (401-800), Page 3 (801+).