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Four fours is a classic problem, dating back at least 90 years. Create each of the positive integers using four copies of 4, 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 (1601-2000), Page 6 (2001-2400), Page 7 (2401-2800), Page 8 (2801-3200), Page 9 (3201-3600), Page 10 (3601-4000), Page 11 (4001+).
| 4001 (2.8) $\dfrac{4 \times 4 + .4\%}{.4\%}$ Steve Wilson, 6/24 Lawrence, KS |
4002 (3.4) $\dfrac{4 \times 4}{4\pmf} + \sqrt{4}$ Steve Wilson, 12/24 Lawrence, KS |
4004 (2.4) $\dfrac{4 \times 4}{.4\%} + 4$ Steve Wilson, 6/24 Lawrence, KS |
4005 (3.6) $\dfrac{4 \times 4 + (\sqrt{4})\%}{4\pmf}$ Steve Wilson, 6/24 Lawrence, KS |
4010 (2.6) $\dfrac{4 \times 4 + 4\%}{.4\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4016 (2.4) $4 \times \left(\dfrac{4}{.4\%} + 4\right)$ Steve Wilson, 6/24 Lawrence, KS |
4020 (3.6) $\dfrac{4 + 4 + 4\%}{(\sqrt{4})\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4024 (3.4) $\dfrac{4 \times 4}{4\pmf} + 4!$ Steve Wilson, 12/24 Lawrence, KS |
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| 4040 (2.6) $(4 + 4\%) \times \dfrac{4}{.4\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4050 (3.6) $\dfrac{4 \times 4 + \sqrt{4\%}}{4\pmf}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4060 (3.6) $\dfrac{4 \times 4 + 4!\%}{4\pmf}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4072 (3.2) $(4 + 4)^4 - 4!$ Steve Wilson, 6/24 Lawrence, KS |
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| 4092 (3.0) $(4 + 4)^4 - 4$ Apollo Okwuone, 2/03 Olathe, KS |
4094 (3.2) $(4 + 4)^4 - \sqrt{4}$ Steve Wilson, 6/24 Lawrence, KS |
4096 (3.0) $4^4 \times 4 \times 4$ Cassie Weatherwax, 2/03 Lawrence, KS |
4098 (3.2) $(4 + 4)^4 + \sqrt{4}$ Steve Wilson, 6/24 Lawrence, KS |
4100 (2.6) $\dfrac{4 \times 4 + .4}{.4\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4120 (3.2) $(4 + 4)^4 + 4!$ Steve Wilson, 6/24 Lawrence, KS |
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| 4125 (3.8) $\sqrt[-.4]{4\%} + \dfrac{4}{4\pmf}$ Steve Wilson, 7/24 Lawrence, KS |
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| 4224 (3.2) $4! \times 44 \times 4$ Nora Osley, 10/08 New York, NY |
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| 4265 (7.4) $(f_4)! \times ((f_4)!)! - f_{4/.4}$ Bruce Manoly, 12/24 Crescent City, CA |
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| 4276 (7.0) $(f_4)! \times ((f_4)!)! - 44$ Bruce Manoly, 12/24 Crescent City, CA |
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| 4290 (7.6) $(f_4)! \times ((f_4)!)! - 4! - (f_4)!$ Bruce Manoly, 12/24 Crescent City, CA |
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| 4292 (7.2) $(f_4)! \times ((f_4)!)! - 4! - 4$ Bruce Manoly, 12/24 Crescent City, CA |
4293 (7.4) $(f_4)! \times ((f_4)!)! - 4! - f_4$ Bruce Manoly, 12/24 Crescent City, CA |
4294 (7.4) $(f_4)! \times ((f_4)!)! - 4! - \sqrt{4}$ Bruce Manoly, 12/24 Crescent City, CA |
4298 (7.4) $(f_4)! \times ((f_4)!)! - 4! + \sqrt{4}$ Bruce Manoly, 12/24 Crescent City, CA |
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| 4304 (7.0) $(f_4)! \times ((f_4)!)! - 4 \times 4$ Bruce Manoly, 12/24 Crescent City, CA |
4305 (7.6) $(f_4)! \times ((f_4)!)! - \dfrac{(f_4)!}{.4}$ Bruce Manoly, 12/24 Crescent City, CA |
4310 (7.2) $(f_4)! \times ((f_4)!)! - \dfrac{4}{.4}$ Bruce Manoly, 12/24 Crescent City, CA |
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| 4311 (7.4) $(f_4)! \times ((f_4)!)! - f_4 \times f_4$ Bruce Manoly, 12/24 Crescent City, CA |
4312 (7.0) $(f_4)! \times ((f_4)!)! - 4 - 4$ Bruce Manoly, 12/24 Crescent City, CA |
4313 (7.2) $(f_4)! \times ((f_4)!)! - 4 - f_4$ Bruce Manoly, 12/24 Crescent City, CA |
4314 (7.2) $(f_4)! \times ((f_4)!)! - \dfrac{4!}{4}$ Bruce Manoly, 12/24 Crescent City, CA |
4320 (3.6) $(4 + \sqrt{4}) \times (4 + \sqrt{4})!$ Steve Wilson, 1/25 Lawrence, KS |
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| 4374 (4.0) $\left(\dfrac{4}{.\overline{4}}\right)^4 \times \sqrt{.\overline{4}}$ Steve Wilson, 11/24 Lawrence, KS |
4375 (4.6) $\sqrt[-\sqrt{.\overline{4}}]{.\overline{4}\%} + \dfrac{4}{4\pmf}$ Steve Wilson, 8/24 Lawrence, KS |
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| 4400 (2.2) $44 \times \dfrac{4}{4\%}$ Dave Jones, 7/07 Coventry, England |
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| 4444 (2.0) $4444$ Anders Skjäl, 4/04 Turku, Finland |
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| 4500 (2.6) $\dfrac{4 \times 4 + 4}{.\overline{4}\%}$ David Barksdale, 3/09 Kirkland, WA |
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| 4608 (3.4) $(4 + 4) \times (4!)^{\sqrt{4}}$ Bruce Manoly, 12/24 Crescent City, CA |
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| 4650 (4.0) $\dfrac{\dfrac{4}{4!\%} + 4}{.\overline{4}\%}$ Steve Wilson, 7/24 Lawrence, KS |
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| 4700 (3.8) $\dfrac{4 - 4!\%}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4750 (3.8) $\dfrac{4 - \sqrt{4\%}}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4884 (5.6) $\dfrac{444}{\cos\arctan\sqrt{(\sec\arctan\sqrt{4!})!}}$ Bruce Manoly, 6/24 Crescent City, CA |
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| 4950 (2.6) $\dfrac{4 - 4\%}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4975 (3.8) $\dfrac{4 - (\sqrt{4})\%}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
4980 (3.8) $\dfrac{\sqrt{4} - (4 + 4)\pmf}{4\%\%}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4990 (3.8) $\dfrac{\sqrt{4}}{4\%\%} - \dfrac{4}{.4}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4995 (2.8) $\dfrac{4 - .4\%}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
4996 (2.4) $\dfrac{4}{(4 + 4)\%\%} - 4$ Steve Wilson, 6/24 Lawrence, KS |
5000 (2.4) $\dfrac{4 + 4}{4\% \times 4\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 5004 (2.4) $\dfrac{4}{(4 + 4)\%\%} + 4$ Steve Wilson, 6/24 Lawrence, KS |
5005 (2.8) $\dfrac{4 + .4\%}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
5010 (3.8) $\dfrac{\sqrt{4}}{4\%\%} + \dfrac{4}{.4}$ Steve Wilson, 1/25 Lawrence, KS |
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| 5025 (3.8) $\dfrac{4 + (\sqrt{4})\%}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 5050 (2.6) $\dfrac{4 + 4\%}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 5116 (5.6) $\dfrac{4^{\sec\arctan\sqrt{4!}}}{\cos\arctan\sqrt{4!}} - 4$ Bruce Manoly, 5/24 Crescent City, CA |
5118 (5.8) $\dfrac{4^{\sec\arctan\sqrt{4!}}}{\cos\arctan\sqrt{4!}} - \sqrt{4}$ Bruce Manoly, 5/24 Crescent City, CA |
5120 (3.4) $\dfrac{4 \times 4^4}{\sqrt{4\%}}$ Steve Wilson, 1/25 Lawrence, KS |
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| 5122 (5.8) $\dfrac{4^{\sec\arctan\sqrt{4!}}}{\cos\arctan\sqrt{4!}} + \sqrt{4}$ Bruce Manoly, 5/24 Crescent City, CA |
5124 (5.6) $\dfrac{4^{\sec\arctan\sqrt{4!}}}{\cos\arctan\sqrt{4!}} + 4$ Bruce Manoly, 5/24 Crescent City, CA |
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| 5184 (3.2) $4 \times \left( \dfrac{4!}{4} \right)^4$ Marc Carreras-Vidal, 8/15 Maó, Spain |
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| 5250 (3.8) $\dfrac{4 + \sqrt{4\%}}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 5280 (5.0) $\dfrac{44 \times 4!}{\cos\arctan\sqrt{4!}}$ Bruce Manoly, 5/24 Crescent City, CA |
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| 5300 (3.8) $\dfrac{4 + 4!\%}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 5500 (2.4) $\dfrac{4.4}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 5625 (2.8) $\dfrac{4}{4\% \times 4\% \times .\overline{4}}$ Steve Wilson, 6/24 Lawrence, KS |
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| 5760 (5.4) $\dfrac{(4! + 4!) \times 4!}{\cos\arctan\sqrt{4!}}$ Bruce Manoly, 5/24 Crescent City, CA |
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| 5991 (3.8) $\dfrac{4!}{4\pmf} - \dfrac{4}{.\overline{4}}$ Steve Wilson, 12/24 Lawrence, KS |
5992 (3.4) $\dfrac{4!}{4\pmf} - 4 - 4$ Steve Wilson, 12/24 Lawrence, KS |
5993 (3.8) $\dfrac{4! - (4! + 4)\pmf}{4\pmf}$ Steve Wilson, 12/24 Lawrence, KS |
5994 (3.6) $\dfrac{4!}{4\pmf} - 4 - \sqrt{4}$ Steve Wilson, 12/24 Lawrence, KS |
5995 (3.6) $\dfrac{4! - 4\pmf}{4\pmf} - 4$ Steve Wilson, 12/24 Lawrence, KS |
5996 (3.6) $\dfrac{4!}{4\pmf} - \sqrt{4 \times 4}$ Steve Wilson, 12/24 Lawrence, KS |
5997 (3.6) $\dfrac{4! + 4\pmf}{4\pmf} - 4$ Steve Wilson, 12/24 Lawrence, KS |
5998 (3.6) $\dfrac{4!}{4\pmf} - 4 + \sqrt{4}$ Steve Wilson, 12/24 Lawrence, KS |
5999 (3.4) $\dfrac{4!}{4\pmf} - \dfrac44$ Steve Wilson, 12/24 Lawrence, KS |
6000 (2.6) $\dfrac{4 - 4 \times .4}{4\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 6048 (3.2) $(4^4 - 4) \times 4!$ Steve Wilson, 11/24 Lawrence, KS |
6050 (3.8) $\dfrac{4! + \dfrac{.4}{\sqrt{4}}}{4\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 6120 (3.4) $4^4 \times 4! - 4!$ Josh Crow, 1/09 Lenexa, KS |
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6140 (3.2) $4^4 \times 4! - 4$ Jeremy Miller, 8/07 Olathe, KS |
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| 6142 (3.4) $4^4 \times 4! - \sqrt{4}$ Steve Wilson, 6/24 Lawrence, KS |
6146 (3.4) $4^4 \times 4! + \sqrt{4}$ Steve Wilson, 6/24 Lawrence, KS |
6148 (3.2) $4^4 \times 4! + 4$ Jeremy Miller, 8/07 Olathe, KS |
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| 6168 (3.4) $4^4 \times 4! + 4!$ Josh Crow, 1/09 Lenexa, KS |
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| 6250 (2.6) $\dfrac{4}{4\% \times 4\% \times .4}$ Steve Wilson, 6/24 Lawrence, KS |
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| 6660 (3.8) $\dfrac{444}{\sqrt{.\overline{4}\%}}$ David Barksdale, 3/09 Kirkland, WA |
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| 6912 (3.6) $\dfrac{4!^4}{4! + 4!}$ Bruce Manoly, 5/24 Crescent City, CA |
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| 7200 (2.6) $(4 + 4) \times \dfrac{4}{.\overline{4}\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 7500 (2.4) $\dfrac{4 - \dfrac44}{4\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 7744 (3.2) $4 \times \sqrt{44^4}$ Regina Hillman, 10/07 Bucyrus, KS |
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| 7776 (3.6) $\left(\dfrac{4!}{4}\right)^{\sqrt{4}/.4}$ Steve Wilson Lawrence, KS |
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| 8000 (2.4) $(4 + 4) \times \dfrac{4}{.4\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 8701 (5.2) $\dfrac{4! \times \cosh\ln(.4) + 4\pmf}{4\pmf}$ Steve Wilson, 11/24 Lawrence, KS |
8702 (5.2) $\dfrac{4! \times \cosh\ln(.4)}{4\pmf} + \sqrt{4}$ Steve Wilson, 11/24 Lawrence, KS |
8704 (5.0) $\dfrac{4! \times \cosh\ln(.4)}{4\pmf} + 4$ Steve Wilson, 11/24 Lawrence, KS |
8706 (5.4) $\left(\dfrac{\cosh\ln(.4)}{4\pmf} + \cot\arctan 4\right) \times 4!$ Steve Wilson, 11/24 Lawrence, KS |
8707 (6.0) $\dfrac{4! \times \cosh\ln(.4)}{4\pmf} + \coth\ln\coth\arcosh\sqrt{4}$ Steve Wilson, 11/24 Lawrence, KS |
8708 (5.8) $\left(\dfrac{\cosh\ln(.4)}{4\pmf} + \tanh\ln\sqrt{\sqrt{4}}\right) \times 4!$ Steve Wilson, 11/24 Lawrence, KS |
8710 (5.2) $\dfrac{4! \times \cosh\ln(.4) + 4\%}{4\pmf}$ Steve Wilson, 11/24 Lawrence, KS |
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| 8800 (3.4) $\dfrac{44 \times 4}{(\sqrt{4})\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 9000 (2.6) $\dfrac{44 - 4}{.\overline{4}\%}$ David Barksdale, 3/09 Kirkland, WA |
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| 9216 (3.4) $4! \times 4! \times 4 \times 4$ Steve Wilson, 11/24 Lawrence, KS |
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| 10000 (3.2) $\left( \dfrac{4!}{4} + 4\right)^4$ Steve Wilson, 4/24 Lawrence, KS |
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| 10368 (4.0) $\left(\dfrac{4!}{4}\right)!^{\sqrt{4}} \times (\sqrt{4})\%$ Steve Wilson, 11/24 Lawrence, KS |
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| 11100 (2.2) $\dfrac{444}{4\%}$ Dave Jones, 9/06 Coventry, England |
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| 11250 (3.2) $\dfrac{4}{\left(.\overline{4} + .\overline{4}\right) \times 4\%\%}$ Steve Wilson, 11/24 Lawrence, KS |
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| 11264 (3.0) $44 \times 4^4$ Joseph Mavungu, 5/03 Olathe, KS |
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| 12288 (3.4) $4^4 \times 4! \times \sqrt{4}$ Jeremy Miller, 8/07 Olathe, KS |
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| 13800 (3.8) $4! \times 4! \times 4! - 4!$ Zach Warring, 9/09 Olathe, KS |
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| 13820 (3.6) $4! \times 4! \times 4! - 4$ Jeremy Miller, 9/07 Olathe, KS |
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| 13824 (3.2) $(4!)^{4 - 4/4}$ Steve Wilson, 11/24 Lawrence, KS |
13828 (3.6) $4! \times 4! \times 4! + 4$ Jeremy Miller, 9/07 Olathe, KS |
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| 13848 (3.8) $4! \times 4! \times 4! + 4!$ Zach Warring, 9/09 Olathe, KS |
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| 14641 (3.0) $\left( \dfrac{44}{4} \right)^4$ Brian Nixt, 3/06 Lenexa, KS |
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| 15000 (3.4) $4! \times \left( \dfrac{\sqrt{4}}{.4} \right)^4$ Bruce Manoly, 5/24 Crescent City, CA |
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| 16384 (3.0) $\dfrac{4^{4+4}}{4}$ Joseph Mavungu, 3/03 Olathe, KS |
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| 20000 (3.4) $\sqrt{4} \times \left( \dfrac{4}{.4} \right)^4$ Bruce Manoly, 5/24 Crescent City, CA |
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| 20625 (4.8) $\dfrac{4 + 4 + \cot\arctan 4}{4\%\%}$ Steve Wilson, 4/24 Lawrence, KS |
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| 20736 (3.0) $(4 + 4 + 4)^4$ Jeremy Miller, 9/07 Olathe, KS |
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| 23040 (4.0) $\left(\left(\dfrac{4! \times 4}{(\sqrt{4})\%}\right)^{\sqrt{4}}\right)\pm$ Steve Wilson, 11/24 Lawrence, KS |
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| 24576 (3.2) $4^4 \times 4! \times 4$ Jeremy Miller, 8/07 Olathe, KS |
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| 25000 (3.6) $\dfrac{4 - \sqrt{4}}{(4 + 4)\%\pmf}$ Steve Wilson, 6/24 Lawrence, KS |
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| 25344 (3.4) $4! \times 4! \times 44$ Zach Warring, 9/09 Olathe, KS |
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| 25600 (3.2) $\dfrac{4}{4\%} \times 4^4$ Nathaniel Uhl, 9/07 Olathe, KS |
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| 27648 (3.8) $4! \times 4! \times 4! \times \sqrt{4}$ Zach Warring, 10/09 Olathe, KS |
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| 27744 (5.0) $(4! + (\antilog 4)\pm)^{\sqrt{4}} \times 4!$ Steve Wilson, 11/24 Lawrence, KS |
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| 30000 (2.4) $\dfrac{4 + 4 + 4}{4\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 30255 (6.0) $\dfrac{4!}{(\sech\ln\sqrt{4})\pmf} + \dfrac{\coth\ln 4}{.\overline{4}\%}$ Steve Wilson, 5/24 Lawrence, KS |
30256 (4.2) $\sqrt{\dfrac{4}{.\overline{4}\%\pmmf}} + 4^4$ Steve Wilson, 6/24 Lawrence, KS |
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| 35000 (3.6) $\dfrac{4! + 4}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 35520 (4.4) $\dfrac{4! - (\sqrt[.4]{4})\%}{\left(\sqrt{.\overline{4}}\right)\pmf}$ Steve Wilson, 11/24 Lawrence, KS |
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| 35906 (6.2) $\dfrac{4! - \ln\sqrt{\sqrt{\exp(4!\%)}}}{\left(\sqrt{.\overline{4}}\right)\pmf} - 4$ Steve Wilson, 11/24 Lawrence, KS |
35907 (6.2) $\dfrac{4! - \dfrac{(\sqrt{4})\pmf}{\tanh\ln\coth\arcosh 4}}{\left(\sqrt{.\overline{4}}\right)\pmf}$ Steve Wilson, 11/24 Lawrence, KS |
35908 (6.4) $\dfrac{4! - \ln\sqrt{\sqrt{\exp(4!\%)}}}{\left(\sqrt{.\overline{4}}\right)\pmf} - \sqrt{4}$ Steve Wilson, 11/24 Lawrence, KS |
35909 (7.0) $\dfrac{4! - \ln\sqrt{\sqrt{\exp(4!\%)}} - \left(\sqrt{.\overline{4}}\right)\pmf}{\left(\sqrt{.\overline{4}}\right)\pmf}$ Steve Wilson, 11/24 Lawrence, KS |
35910 (3.8) $\dfrac{4 \times 4 - 4\%}{.\overline{4}\pmf}$ Steve Wilson, 11/24 Lawrence, KS |
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| 40000 (3.2) $\dfrac{(4! - 4)^4}{4}$ Zach Warring, 10/09 Olathe, KS |
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| 45000 (2.8) $\dfrac{4 + 4}{4\% \times .\overline{4}\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 50000 (2.4) $\dfrac{4 \times 4 + 4}{4\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 55000 (2.4) $\dfrac{44}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 55296 (3.6) $4! \times 4! \times 4! \times 4$ Zach Warring, 10/09 Olathe, KS |
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| 60000 (3.6) $\dfrac{4! \times 4}{4\% \times 4\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 63000 (3.2) $\dfrac{4^4 - 4}{4\pmf}$ Steve Wilson, 12/24 Lawrence, KS |
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| 65000 (3.2) $\dfrac{4^4 + 4}{4\pmf}$ Steve Wilson, 6/24 Lawrence, KS |
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| 65532 (3.0) $4^{4+4} - 4$ Adam Petrowsky, 4/03 Lenexa, KS |
65536 (3.0) $4^4 \times 4^4$ Sydney Barker, 1/03 Stilwell, KS |
65540 (3.2) $\sqrt{4^{4 \times 4}} + 4$ Sydney Barker, 4/03 Stilwell, KS |
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| 70000 (3.4) $\dfrac{4^4 + 4!}{4\pmf}$ Steve Wilson, 6/24 Lawrence, KS |
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| 75000 (2.6) $\dfrac{4 - \dfrac44}{.4\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 80000 (2.4) $\dfrac{4 \times (4 + 4)}{4\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 82940 (3.2) $\dfrac{4!^4}{4} - 4$ Jackie Shirley, 10/09 Olathe, KS |
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| 82948 (3.2) $\dfrac{4!^4}{4} + 4$ Zach Warring, 9/09 Olathe, KS |
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| 85000 (3.8) $\dfrac{\sqrt[.4]{4} + \sqrt{4}}{4\%\%}$ Steve Wilson, 5/24 Lawrence, KS |
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| 85184 (3.4) $\sqrt{44^{4 + \sqrt{4}}}$ Brian Nixt, 3/06 Lenexa, KS |
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| 90000 (2.8) $\dfrac{4}{.\overline{444}\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 95000 (4.0) $\dfrac{\sqrt{4 \times 4} - \sqrt{4\%}}{4\%\pmf}$ Steve Wilson, 6/24 Lawrence, KS |
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| 100000 (3.6) $\left(\dfrac{4}{.4}\right)^{\sqrt{4}/.4}$ Bruce Manoly, 5/24 Crescent City, CA |
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| 105000 (3.6) $\dfrac{44 - \sqrt{4}}{4\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 110000 (3.8) $\dfrac{4! + 4! - 4}{4\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 115000 (3.4) $\dfrac{4 + \dfrac{.\overline{4}}{.4}}{.\overline{4}\%\%}$ Steve Wilson, 5/24 Lawrence, KS |
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| 120000 (3.6) $\dfrac{4 \times 4!}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 125000 (2.6) $\dfrac{4 + \dfrac44}{.4\%\%}$ Steve Wilson, 5/24 Lawrence, KS |
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| 130000 (3.4) $\dfrac{4^4 + 4}{(\sqrt{4})\pmf}$ Steve Wilson, 6/24 Lawrence, KS |
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| 135000 (8.6) $4! \times \left((4!!)!!! - \sec\arctan\sqrt{4!}\right)^{\sqrt{4}}$ Bruce Manoly, 11/24 Crescent City, CA |
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| 140000 (3.8) $\dfrac{4! + 4}{(\sqrt{4})\%\%}$ Steve Wilson, 1/25 Lawrence, KS |
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| 145000 (4.0) $\dfrac{4 + \sqrt{4} - \sqrt{4\%}}{4\%\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 147456 (3.4) $4^4 \times 4! \times 4!$ Josh Crow, 1/09 Lenexa, KS |
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| 150000 (3.6) $\dfrac{4 + 4 - \sqrt{4}}{4\%\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 153664 (3.2) $\dfrac{(4! + 4)^4}{4}$ Zach Warring, 10/09 Olathe, KS |
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| 155000 (9.4) $\dfrac{f_{((f_4)!)!!!} \times (\sec\arctan\sqrt{4!})! - (4!!)!!!}{\sqrt{4}}$ Bruce Manoly, 11/24 Crescent City, CA |
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| 160000 (3.4) $\left(\sqrt{4} \times \dfrac{4}{.4}\right)^4$ Bruce Manoly, 11/24 Crescent City, CA |
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| 165000 (9.4) $(f_{((f_4)!)!!!!} + f_{4!!}) \times (\sec\arctan\sqrt{4!})!!!^{f_4}$ Bruce Manoly, 11/24 Crescent City, CA |
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| 170000 (3.8) $\dfrac{4 + (4 + 4)\%}{4!\pmmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 175000 (3.8) $\dfrac{44 - \sqrt{4}}{4!\%\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 180000 (3.6) $\dfrac{(4 + 4 - \sqrt{4})!}{4\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 185000 (3.6) $\dfrac{444}{4!\%\%}$ Steve Wilson, 1/25 Lawrence, KS |
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| 190000 (3.6) $\dfrac{4 + 4 - .4}{4\%\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 195000 (3.8) $\dfrac{4 + 4 - \sqrt{4\%}}{4\%\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 197136 (3.2) $\sqrt{444^4}$ Brian Nixt, 3/06 Lenexa, KS |
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| 200000 (3.4) $\dfrac{4 \times 4}{(4 + 4)\%\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 262144 (3.0) $4 \times 4^{4+4}$ Nathaniel Uhl, 9/07 Olathe, KS |
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| 331776 (3.8) $4! \times 4! \times 4! \times 4!$ Darren Boss, 4/03 Shawnee, KS |
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| 331784 (3.2) $4!^4 + 4 + 4$ Jackie Shirley, 10/09 Olathe, KS |
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| 663552 (3.4) $4!^4 + 4!^4$ Rabeh Ghadiri, 9/08 Overland Park, KS |
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| 937024 (3.0) $\dfrac{44^4}{4}$ Katie Cooper, 10/04 Stilwell, KS |
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| 1327104 (3.4) $\dfrac{(4! + 4!)^4}{4}$ Jackie Shirley, 10/09 Olathe, KS |
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| 1874048 (3.2) $\dfrac{44^4}{\sqrt{4}}$ Jackie Shirley, 10/09 Olathe, KS |
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| 3538944 (3.4) $\dfrac{(4! \times 4)^4}{4!}$ Steve Wilson, 11/24 Lawrence, KS |
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| 3748072 (3.2) $44^4 - 4!$ Josh Crow, 1/09 Lenexa, KS |
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| 3748092 (3.0) $44^4 - 4$ Ian Bowdler, 10/07 Solihull, England |
3748096 (3.2) $\sqrt{44^{4+4}}$ Brian Nixt, 3/06 Lenexa, KS |
3748100 (3.0) $44^4 + 4$ Kimberly Grosdidier, 12/05 Overland Park, KS |
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| 3748120 (3.2) $44^4 + 4!$ Adam McAdoo, 5/05 Lenexa, KS |
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| 5308416 (3.0) $(44 + 4)^4$ Zach Warring, 9/09 Olathe, KS |
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| 9370240 (3.2) $\dfrac{44^4}{.4}$ Ian Bowdler, 10/07 Solihull, England |
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| 14992384 (3.0) $44^4 \times 4$ Shelbi Russell, 5/05 Merriam, KS |
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| 16777216 (3.0) $(4 \times 4 \times 4)^4$ Sydney Barker, 2/03 Stilwell, KS |
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| 429981696 (3.4) $\left( \dfrac{4! \times 4!}{4} \right)^4$ Rabeh Ghadiri, 12/08 Overland Park, KS |
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| 959512576 (3.0) $(4 \times 44)^4$ Kashmira Sayani, 3/17 Overland Park, KS |
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| 1073741824 (3.0) $\dfrac{4^{4 \times 4}}{4}$ Evan Meyers, 10/10 Eudora, KS |
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| 4294967272 (3.2) $4^{4 \times 4} - 4!$ Josh Crow, 2/09 Lenexa, KS |
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| 4294967292 (3.0) $4^{4 \times 4} - 4$ Josh Crow, 2/09 Lenexa, KS |
4294967300 (3.0) $4^{4 \times 4} + 4$ Josh Crow, 2/09 Lenexa, KS |
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| 4294967320 (3.2) $4^{4 \times 4} + 4!$ Josh Crow, 2/09 Lenexa, KS |
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| 38862602496 (3.0) $444^4$ Ian Bowdler, 10/07 Solihull, England |
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| 103079215104 (3.2) $4^{4 \times 4} \times 4!$ Josh Crow, 2/09 Lenexa, KS |
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| 274877906944 (3.4) $4 \times \sqrt{(4 + 4)^{4!}}$ Bruce Manoly, 6/24 Crescent City, CA |
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| 40000000000000000 (4.4) $\sqrt{4 \times 4} \times \antilog(4 \times 4)$ Steve Wilson, 11/24 Lawrence, KS |
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| 80000000000000000 (4.2) $(4 + 4) \times \antilog(4 \times 4)$ Steve Wilson, 11/24 Lawrence, KS |
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| googol (3.4) $\left( \dfrac{4}{.4} \right)^{4/(4\%)}$ Brian Hollenbeck, 5/03 Emporia, KS |
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| googolplex (4.6) $\left(\dfrac{4}{.4}\right)^{\antilog(4/(4\%))}$ Steve Wilson, 6/24 Lawrence, KS |
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| googolplexplex (5.0) $\antilog\antilog\antilog\left(\dfrac{4 \times 4}{.4 \times .4}\right)$ Bruce Manoly, 8/24 Crescent City, CA |
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201-1600), Page 5 (1601-2000), Page 6 (2001-2400), Page 7 (2401-2800), Page 8 (2801-3200), Page 9 (3201-3600), Page 10 (3601-4000), Page 11 (4001+).