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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 (4001-4800), Page 13 (4801+).
| 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 |
4003 (4.8) $\dfrac{4 \times \sqrt{.\overline{4}} + (\sqrt{4})\pmf}{\left(\sqrt{.\overline{4}}\right)\pmf}$ Steve Wilson, 1/25 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 |
4006 (3.6) $\dfrac{4 \times 4 + 4!\pmf}{4\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4008 (3.4) $4 \times \left(\dfrac{4}{4\pmf} + \sqrt{4}\right)$ Steve Wilson, 1/25 Lawrence, KS |
4009 (3.8) $\dfrac{.4 \times .\overline{4} + 4\%\%}{.\overline{4}\%\%}$ Steve Wilson, 1/25 Lawrence, KS |
4010 (2.6) $\dfrac{4 \times 4 + 4\%}{.4\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4012 (3.8) $\dfrac{4 + 4 + 4!\pmf}{(\sqrt{4})\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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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| 4021 (4.8) $\dfrac{\cosh(4 \times \arsinh\sqrt{4})}{4\%} - 4$ Steve Wilson, 1/25 Lawrence, KS |
4022 (4.8) $.4 \times \antilog 4 + 4! - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4024 (3.4) $\dfrac{4 \times 4}{4\pmf} + 4!$ Steve Wilson, 12/24 Lawrence, KS |
4025 (4.2) $\sqrt[-.4]{4\%} + \dfrac{4}{.\overline{4}\%}$ Steve Wilson, 1/25 Lawrence, KS |
4026 (4.8) $.4 \times \antilog 4 + 4! + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4028 (4.6) $.4 \times \antilog 4 + 4! + 4$ Steve Wilson, 1/25 Lawrence, KS |
4029 (4.8) $\dfrac{\cosh(4 \times \arsinh\sqrt{4})}{4\%} + 4$ Steve Wilson, 1/25 Lawrence, KS |
4030 (4.8) $\dfrac{4 \times \sqrt{.\overline{4}} + (\sqrt{4})\%}{\left(\sqrt{.\overline{4}}\right)\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4032 (3.4) $(4 + 4)! \times \dfrac{.4}{4}$ Steve Wilson, 1/25 Lawrence, KS |
4036 (4.0) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4!}{.4}$ Steve Wilson, 1/25 Lawrence, KS |
4040 (2.6) $(4 + 4\%) \times \dfrac{4}{.4\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4044 (4.4) $.4 \times \antilog 4 + 44$ Steve Wilson, 1/25 Lawrence, KS |
4046 (4.0) $\sqrt{\sqrt{4^{4!}}} - \dfrac{\sqrt{4}}{4\%}$ Steve Wilson, 1/25 Lawrence, KS |
4048 (3.8) $\sqrt{4} \times \left(\dfrac{4}{(\sqrt{4})\pmf} + 4!\right)$ Steve Wilson, 1/25 Lawrence, KS |
4050 (3.6) $\dfrac{4 \times 4 + \sqrt{4\%}}{4\pmf}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4052 (3.6) $\sqrt{\sqrt{4^{4!}}} - 44$ Steve Wilson, 1/25 Lawrence, KS |
4060 (3.6) $\dfrac{4 \times 4 + 4!\%}{4\pmf}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4064 (3.8) $\sqrt{\sqrt{4^{4!}}} - \sqrt[.4]{4}$ Steve Wilson, 1/25 Lawrence, KS |
4066 (4.2) $\sqrt{\sqrt{4^{4!}}} - \sqrt{\dfrac{4}{.\overline{4}\%}}$ Steve Wilson, 1/25 Lawrence, KS |
4068 (3.8) $\sqrt{\sqrt{4^{4!}}} - 4! - 4$ Steve Wilson, 1/25 Lawrence, KS |
4070 (4.0) $\sqrt{\sqrt{4^{4!}}} - 4! - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4072 (3.2) $(4 + 4)^4 - 4!$ Steve Wilson, 6/24 Lawrence, KS |
4074 (4.0) $\sqrt{\sqrt{4^{4!}}} - 4! + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4076 (3.8) $\sqrt{\sqrt{4^{4!}}} - 4! + 4$ Steve Wilson, 1/25 Lawrence, KS |
4080 (3.6) $\sqrt{\sqrt{4^{4!}}} - 4 \times 4$ Steve Wilson, 1/25 Lawrence, KS |
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| 4084 (4.0) $\sqrt{\sqrt{4^{4!}}} - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 1/25 Lawrence, KS |
4086 (3.8) $\sqrt{\sqrt{4^{4!}}} - \dfrac{4}{.4}$ Steve Wilson, 1/25 Lawrence, KS |
4087 (4.2) $\sqrt{\sqrt{4^{4!}}} - \dfrac{4}{.\overline{4}}$ Steve Wilson, 1/25 Lawrence, KS |
4088 (3.6) $\sqrt{\sqrt{4^{4!}}} - 4 - 4$ Steve Wilson, 1/25 Lawrence, KS |
4090 (3.8) $\sqrt{\sqrt{4^{4!}}} - \dfrac{4!}{4}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4091 (4.0) $\sqrt{\sqrt{4^{4!}}} - \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 1/25 Lawrence, KS |
4092 (3.0) $(4 + 4)^4 - 4$ Apollo Okwuone, 2/03 Olathe, KS |
4093 (4.2) $\sqrt{\sqrt{4^{4!}}} - \sqrt{\dfrac{4}{.\overline{4}}}$ Steve Wilson, 1/25 Lawrence, KS |
4094 (3.2) $(4 + 4)^4 - \sqrt{4}$ Steve Wilson, 6/24 Lawrence, KS |
4095 (3.6) $\sqrt{\sqrt{4^{4!}}} - \dfrac{4}{4}$ Steve Wilson, 1/25 Lawrence, KS |
4096 (3.0) $4^4 \times 4 \times 4$ Cassie Weatherwax, 2/03 Lawrence, KS |
4097 (3.6) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4}{4}$ Steve Wilson, 1/25 Lawrence, KS |
4098 (3.2) $(4 + 4)^4 + \sqrt{4}$ Steve Wilson, 6/24 Lawrence, KS |
4099 (4.2) $\sqrt{\sqrt{4^{4!}}} + \sqrt{\dfrac{4}{.\overline{4}}}$ Steve Wilson, 1/25 Lawrence, KS |
4100 (2.6) $\dfrac{4 \times 4 + .4}{.4\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4101 (4.0) $\sqrt{\sqrt{4^{4!}}} + \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 1/25 Lawrence, KS |
4102 (3.8) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4!}{4}$ Steve Wilson, 1/25 Lawrence, KS |
4104 (3.6) $\sqrt{\sqrt{4^{4!}}} + 4 + 4$ Steve Wilson, 1/25 Lawrence, KS |
4105 (4.0) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4}{.\overline{4}}$ Steve Wilson, 1/25 Lawrence, KS |
4106 (3.8) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4}{.4}$ Steve Wilson, 1/25 Lawrence, KS |
4108 (4.0) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4112 (3.6) $\sqrt{\sqrt{4^{4!}}} + 4 \times 4$ Steve Wilson, 1/25 Lawrence, KS |
4116 (3.8) $\sqrt{\sqrt{4^{4!}}} + 4! - 4$ Steve Wilson, 1/25 Lawrence, KS |
4118 (4.0) $\sqrt{\sqrt{4^{4!}}} + 4! - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4120 (3.2) $(4 + 4)^4 + 4!$ Steve Wilson, 6/24 Lawrence, KS |
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| 4122 (4.0) $\sqrt{\sqrt{4^{4!}}} + 4! + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4124 (3.8) $\sqrt{\sqrt{4^{4!}}} + 4! + 4$ Steve Wilson, 1/25 Lawrence, KS |
4125 (3.8) $\sqrt[-.4]{4\%} + \dfrac{4}{4\pmf}$ Steve Wilson, 7/24 Lawrence, KS |
4126 (4.4) $\sqrt{\sqrt{4^{4!}}} + \sqrt{\dfrac{4}{.\overline{4}\%}}$ Steve Wilson, 1/25 Lawrence, KS |
4128 (3.8) $\sqrt{\sqrt{4^{4!}}} + \sqrt[.4]{4}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4132 (4.4) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4!}{\sqrt{.\overline{4}}}$ Steve Wilson, 1/25 Lawrence, KS |
4140 (3.6) $\sqrt{\sqrt{4^{4!}}} + 44$ Steve Wilson, 1/25 Lawrence, KS |
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| 4144 (4.0) $\sqrt{\sqrt{4^{4!}}} + 4! + 4!$ Steve Wilson, 1/25 Lawrence, KS |
4146 (4.0) $\sqrt{\sqrt{4^{4!}}} + \dfrac{\sqrt{4}}{4\%}$ Steve Wilson, 1/25 Lawrence, KS |
4150 (4.2) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4!}{.\overline{4}}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4156 (4.0) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4!}{.4}$ Steve Wilson, 1/25 Lawrence, KS |
4160 (4.4) $\sqrt{\sqrt{4^{4!}}} + \sqrt{\sqrt{\sqrt{4^{4!}}}}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4186 (4.4) $\sqrt{\sqrt{4^{4!}}} + \dfrac{.4}{.\overline{4}\%}$ Steve Wilson, 1/25 Lawrence, KS |
4190 (4.8) $\dfrac{4! + 4 - \sqrt{.\overline{4}\%}}{\left(\sqrt{.\overline{4}}\right)\%}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4192 (3.8) $\sqrt{\sqrt{4^{4!}}} + 4 \times 4!$ Steve Wilson, 1/25 Lawrence, KS |
4196 (3.8) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4}{4\%}$ Steve Wilson, 1/25 Lawrence, KS |
4200 (3.6) $(4 + \sqrt{4\%}) \times \dfrac{4}{4\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4216 (4.2) $\sqrt{\sqrt{4^{4!}}} + \left(\dfrac{\sqrt{4}}{.4}\right)!$ Steve Wilson, 1/25 Lawrence, KS |
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| 4224 (3.2) $4! \times 44 \times 4$ Nora Osley, 10/08 New York, NY |
4225 (3.8) $\left(\dfrac{4! + \sqrt{4}}{.4}\right)^{\sqrt{4}}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4250 (4.2) $\dfrac{\sqrt{4} - \dfrac{.\overline{4}}{4}}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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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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| 4275 (4.0) $\dfrac{\sqrt{4} - \dfrac{.4}{4}}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4276 (7.0) $(f_4)! \times ((f_4)!)! - 44$ Bruce Manoly, 12/24 Crescent City, CA |
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| 4289 (4.8) $.4 \times \antilog 4 + (\sec\arctan 4)^4$ Steve Wilson, 1/25 Lawrence, KS |
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 |
4296 (4.0) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4}{(\sqrt{4})\%}$ Steve Wilson, 1/25 Lawrence, KS |
4298 (7.4) $(f_4)! \times ((f_4)!)! - 4! + \sqrt{4}$ Bruce Manoly, 12/24 Crescent City, CA |
4300 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - \dfrac{4}{(\sqrt{4})\%}$ Steve Wilson, 1/25 Lawrence, KS |
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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 |
4306 (4.8) $\sqrt{4} \times (\cosh(4 \times \arsinh 4) - 4!)$ Steve Wilson, 1/25 Lawrence, KS |
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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| 4330 (4.8) $\sqrt{4} \times \cosh(4 \times \arsinh 4) - 4!$ Steve Wilson, 1/25 Lawrence, KS |
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| 4346 (4.6) $\sqrt{4} \times (\cosh(4 \times \arsinh 4) - 4)$ Steve Wilson, 1/25 Lawrence, KS |
4350 (4.6) $\sqrt{4} \times \cosh(4 \times \arsinh 4) - 4$ Steve Wilson, 1/25 Lawrence, KS |
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| 4352 (4.8) $\sqrt{4} \times \cosh(4 \times \arsinh 4) - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4354 (4.6) $\dfrac{4}{\sqrt{4}} \times \cosh(4 \times \arsinh 4)$ Steve Wilson, 1/25 Lawrence, KS |
4356 (4.8) $\sqrt{4} \times \cosh(4 \times \arsinh 4) + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4358 (4.6) $\sqrt{4} \times \cosh(4 \times \arsinh 4) + 4$ Steve Wilson, 1/25 Lawrence, KS |
4360 (4.6) $(44 - .4) \times \antilog\sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4362 (4.6) $\sqrt{4} \times (\cosh(4 \times \arsinh 4) + 4)$ Steve Wilson, 1/25 Lawrence, KS |
4365 (4.2) $\dfrac{\sqrt{4} - (4 + \sqrt{4})\%}{.\overline{4}\pmf}$ 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 |
4376 (4.6) $44 \times \antilog\sqrt{4} - 4!$ Steve Wilson, 1/25 Lawrence, KS |
4378 (4.8) $\sqrt{4} \times \cosh(4 \times \arsinh 4) + 4!$ Steve Wilson, 1/25 Lawrence, KS |
4380 (4.4) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - \left(\dfrac{\sqrt{4}}{.4}\right)!$ Steve Wilson, 1/25 Lawrence, KS |
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| 4386 (4.2) $\dfrac{\sqrt{4} - 4\%}{.\overline{4}\pmf} - 4!$ Steve Wilson, 1/25 Lawrence, KS |
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| 4392 (4.4) $\dfrac{\sqrt{4} + (4! + 4!)\pmf}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4396 (4.4) $\sqrt{\sqrt{4^{4!}}} + \sqrt{\dfrac{4}{.\overline{4}\%\%}}$ Steve Wilson, 1/25 Lawrence, KS |
4398 (4.6) $44 \times \antilog\sqrt{4} - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4400 (2.2) $44 \times \dfrac{4}{4\%}$ Dave Jones, 7/07 Coventry, England |
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| 4401 (4.0) $\dfrac{\sqrt{4} - 44\pmf}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4402 (4.6) $44 \times \antilog\sqrt{4} + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4404 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - 4 \times 4!$ Steve Wilson, 1/25 Lawrence, KS |
4406 (4.0) $\dfrac{\sqrt{4} - 4\%}{.\overline{4}\pmf} - 4$ Steve Wilson, 1/25 Lawrence, KS |
4408 (4.2) $\dfrac{\sqrt{4} - 4\%}{.\overline{4}\pmf} - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4410 (4.0) $\dfrac{\sqrt{4} - 4\%}{.\overline{44}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4412 (4.2) $\dfrac{\sqrt{4} - 4\%}{.\overline{4}\pmf} + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4414 (4.0) $\dfrac{\sqrt{4} - 4\%}{.\overline{4}\pmf} + 4$ Steve Wilson, 1/25 Lawrence, KS |
4420 (4.8) $(44 + \sqrt{4\%}) \times \antilog\sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4424 (4.6) $44 \times \antilog\sqrt{4} + 4!$ Steve Wilson, 1/25 Lawrence, KS |
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| 4431 (4.4) $\dfrac{\sqrt{4} - (\sqrt{4})\%}{.\overline{4}\pmf} - 4!$ Steve Wilson, 1/25 Lawrence, KS |
4434 (4.2) $\dfrac{\sqrt{4} - 4\%}{.\overline{4}\pmf} + 4!$ Steve Wilson, 1/25 Lawrence, KS |
4437 (4.2) $\dfrac{\sqrt{4} - (4! + 4)\pmf}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4440 (4.4) $44.4 \times \antilog\sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4444 (2.0) $4444$ Anders Skjäl, 4/04 Turku, Finland |
4450 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - \dfrac{\sqrt{4}}{4\%}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4451 (4.2) $\dfrac{\sqrt{4} - (\sqrt{4})\%}{.\overline{4}\pmf} - 4$ Steve Wilson, 1/25 Lawrence, KS |
4452 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - 4! - 4!$ Steve Wilson, 1/25 Lawrence, KS |
4453 (4.4) $\dfrac{\sqrt{4} - (\sqrt{4})\%}{.\overline{4}\pmf} - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4455 (4.2) $\dfrac{\sqrt{4} - (\sqrt{4})\%}{.\overline{44}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4456 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - 44$ Steve Wilson, 1/25 Lawrence, KS |
4457 (4.4) $\dfrac{\sqrt{4} - (\sqrt{4})\%}{.\overline{4}\pmf} + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4459 (4.2) $\dfrac{\sqrt{4} - (\sqrt{4})\%}{.\overline{4}\pmf} + 4$ Steve Wilson, 1/25 Lawrence, KS |
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| 4464 (4.6) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - \dfrac{4!}{\sqrt{.\overline{4}}}$ Steve Wilson, 1/25 Lawrence, KS |
4467 (4.2) $\dfrac{\sqrt{4} - 4\pmf}{.\overline{4}\pmf} - 4!$ Steve Wilson, 1/25 Lawrence, KS |
4468 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - \sqrt[.4]{4}$ Steve Wilson, 1/25 Lawrence, KS |
4470 (4.6) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - \sqrt{\dfrac{4}{.\overline{4}\%}}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4472 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - 4! - 4$ Steve Wilson, 1/25 Lawrence, KS |
4474 (4.2) $\dfrac{\sqrt{4}}{.\overline{44}\pmf} - 4! - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4475 (4.6) $\dfrac{\sqrt{4} - \dfrac{.\overline{4}\%}{.4}}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4476 (4.0) $\dfrac{\sqrt{4}}{.\overline{44}\pmf} - 4!$ Steve Wilson, 1/25 Lawrence, KS |
4478 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + 4! + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4479 (4.4) $\dfrac{\sqrt{4} - (\sqrt{4})\%}{.\overline{4}\pmf} + 4!$ Steve Wilson, 1/25 Lawrence, KS |
4480 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - 4! + 4$ Steve Wilson, 1/25 Lawrence, KS |
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| 4482 (4.0) $\dfrac{\sqrt{4} - (4 + 4)\pmf}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4484 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - 4 \times 4$ Steve Wilson, 1/25 Lawrence, KS |
4485 (4.2) $\dfrac{\sqrt{4} + 4\pmf}{.\overline{4}\pmf} - 4!$ Steve Wilson, 1/25 Lawrence, KS |
4487 (4.0) $\dfrac{\sqrt{4} - 4\pmf}{.\overline{4}\pmf} - 4$ Steve Wilson, 1/25 Lawrence, KS |
4488 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 1/25 Lawrence, KS |
4489 (4.2) $\dfrac{\sqrt{4} - 4\pmf}{.\overline{4}\pmf} - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4490 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - \dfrac{4}{.4}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4491 (4.0) $\dfrac{4 - \sqrt{4} - 4\pmf}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4492 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - 4 - 4$ Steve Wilson, 1/25 Lawrence, KS |
4493 (4.2) $\dfrac{\sqrt{4} - 4\pmf}{.\overline{4}\pmf} + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4494 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - 4 - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4495 (4.0) $\dfrac{\sqrt{4} - 4\pmf}{.\overline{4}\pmf} + 4$ Steve Wilson, 1/25 Lawrence, KS |
4496 (3.8) $\dfrac{4 - \sqrt{4}}{.\overline{4}\pmf} - 4$ Steve Wilson, 1/25 Lawrence, KS |
4497 (4.4) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - \sqrt{\dfrac{4}{.\overline{4}}}$ Steve Wilson, 1/25 Lawrence, KS |
4498 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - 4 + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4499 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} - \dfrac44$ Steve Wilson, 1/25 Lawrence, KS |
4500 (2.6) $\dfrac{4 \times 4 + 4}{.\overline{4}\%}$ David Barksdale, 3/09 Kirkland, WA |
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| 4501 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + \dfrac44$ Steve Wilson, 1/25 Lawrence, KS |
4502 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + 4 - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4503 (4.4) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + \sqrt{\dfrac{4}{.\overline{4}}}$ Steve Wilson, 1/25 Lawrence, KS |
4504 (3.8) $\dfrac{4 - \sqrt{4}}{.\overline{4}\pmf} + 4$ Steve Wilson, 1/25 Lawrence, KS |
4505 (4.0) $\dfrac{\sqrt{4} + 4\pmf}{.\overline{4}\pmf} - 4$ Steve Wilson, 1/25 Lawrence, KS |
4506 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + 4 + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4507 (4.2) $\dfrac{\sqrt{4} + 4\pmf}{.\overline{4}\pmf} - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4508 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + 4 + 4$ Steve Wilson, 1/25 Lawrence, KS |
4509 (4.0) $\dfrac{4 - \sqrt{4} + 4\pmf}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4510 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + \dfrac{4}{.4}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4511 (4.2) $\dfrac{\sqrt{4} + 4\pmf}{.\overline{4}\pmf} + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4512 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 1/25 Lawrence, KS |
4513 (4.0) $\dfrac{\sqrt{4} + 4\pmf}{.\overline{4}\pmf} + 4$ Steve Wilson, 1/25 Lawrence, KS |
4515 (4.2) $\dfrac{\sqrt{4} - 4\pmf}{.\overline{4}\pmf} + 4!$ Steve Wilson, 1/25 Lawrence, KS |
4516 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + 4 \times 4$ Steve Wilson, 1/25 Lawrence, KS |
4518 (4.0) $\dfrac{\sqrt{4} + (4 + 4)\pmf}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4520 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + 4! - 4$ Steve Wilson, 1/25 Lawrence, KS |
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| 4521 (4.4) $\dfrac{\sqrt{4} + (\sqrt{4})\%}{.\overline{4}\pmf} - 4!$ Steve Wilson, 1/25 Lawrence, KS |
4522 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + 4! - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4524 (4.0) $\dfrac{\sqrt{4}}{.\overline{44}\pmf} + 4!$ Steve Wilson, 1/25 Lawrence, KS |
4525 (4.6) $\dfrac{\sqrt{4} + \dfrac{.\overline{4}\%}{.4}}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4526 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + 4! + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4528 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + 4! + 4$ Steve Wilson, 1/25 Lawrence, KS |
4530 (4.6) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + \sqrt{\dfrac{4}{.\overline{4}\%}}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4532 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + \sqrt[.4]{4}$ Steve Wilson, 1/25 Lawrence, KS |
4533 (4.2) $\dfrac{\sqrt{4} + 4\pmf}{.\overline{4}\pmf} + 4!$ Steve Wilson, 1/25 Lawrence, KS |
4536 (4.6) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + \dfrac{4!}{\sqrt{.\overline{4}}}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4541 (4.2) $\dfrac{\sqrt{4} + (\sqrt{4})\%}{.\overline{4}\pmf} - 4$ Steve Wilson, 1/25 Lawrence, KS |
4543 (4.4) $\dfrac{\sqrt{4} + (\sqrt{4})\%}{.\overline{4}\pmf} - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4544 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + 44$ Steve Wilson, 1/25 Lawrence, KS |
4545 (4.2) $\dfrac{\sqrt{4} + (\sqrt{4})\%}{.\overline{44}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4547 (4.4) $\dfrac{\sqrt{4} + (\sqrt{4})\%}{.\overline{4}\pmf} + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4548 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + 4! + 4!$ Steve Wilson, 1/25 Lawrence, KS |
4549 (4.2) $\dfrac{\sqrt{4} + (\sqrt{4})\%}{.\overline{4}\pmf} + 4$ Steve Wilson, 1/25 Lawrence, KS |
4550 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + \dfrac{\sqrt{4}}{4\%}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4563 (4.2) $\dfrac{\sqrt{4} + (4! + 4)\pmf}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4566 (4.2) $\dfrac{\sqrt{4} + 4\%}{.\overline{4}\pmf} - 4!$ Steve Wilson, 1/25 Lawrence, KS |
4569 (4.4) $\dfrac{\sqrt{4} + (\sqrt{4})\%}{.\overline{4}\pmf} + 4!$ Steve Wilson, 1/25 Lawrence, KS |
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| 4586 (4.0) $\dfrac{\sqrt{4} + 4\%}{.\overline{4}\pmf} - 4$ Steve Wilson, 1/25 Lawrence, KS |
4588 (4.2) $\dfrac{\sqrt{4} + 4\%}{.\overline{4}\pmf} - \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4590 (4.0) $\dfrac{\sqrt{4} + 4\%}{.\overline{44}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4592 (4.2) $\dfrac{\sqrt{4} + 4\%}{.\overline{4}\pmf} + \sqrt{4}$ Steve Wilson, 1/25 Lawrence, KS |
4594 (4.0) $\dfrac{\sqrt{4} + 4\%}{.\overline{4}\pmf} + 4$ Steve Wilson, 1/25 Lawrence, KS |
4596 (4.0) $\sqrt{\sqrt{4^{4!}}} + \dfrac{\sqrt{4}}{4\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4599 (4.0) $\dfrac{\sqrt{4} + 44\pmf}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
4600 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + \dfrac{4}{4\%}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4608 (3.4) $(4 + 4) \times (4!)^{\sqrt{4}}$ Bruce Manoly, 12/24 Crescent City, CA |
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| 4614 (4.2) $\dfrac{\sqrt{4} + 4\%}{.\overline{4}\pmf} + 4!$ Steve Wilson, 1/25 Lawrence, KS |
4620 (4.4) $\dfrac{\sqrt{4}}{.\overline{4}\pmf} + \left(\dfrac{\sqrt{4}}{.4}\right)!$ Steve Wilson, 1/25 Lawrence, KS |
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| 4635 (4.2) $\dfrac{\sqrt{4} + (4 + \sqrt{4})\%}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4650 (4.0) $\dfrac{\dfrac{4}{4!\%} + 4}{.\overline{4}\%}$ Steve Wilson, 7/24 Lawrence, KS |
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| 4680 (4.0) $\dfrac{\sqrt{4} + (4 + 4)\%}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4696 (4.0) $\sqrt{\sqrt{4^{4!}}} + \dfrac{4!}{4\%}$ Steve Wilson, 1/25 Lawrence, KS |
4700 (3.8) $\dfrac{4 - 4!\%}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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| 4725 (4.0) $\dfrac{\sqrt{4} + \dfrac{.4}{4}}{.\overline{4}\pmf}$ Steve Wilson, 1/25 Lawrence, KS |
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| 4750 (3.8) $\dfrac{4 - \sqrt{4\%}}{(4 + 4)\%\%}$ Steve Wilson, 6/24 Lawrence, KS |
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 (4001-4800), Page 13 (4801+).