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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+).
| 1601 (4.0) $\dfrac{\sqrt[.4]{4} + (\sqrt{4})\%}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1602 (3.6) $(4! - 4)^4 \% + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1603 (5.0) $\dfrac{4}{(\cot\arctan 4)\%} + \log\left(\dfrac{4}{4\pmf}\right)$ Steve Wilson, 6/24 Lawrence, KS |
1604 (3.4) $(4! - 4)^4 \% + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1605 (4.4) $\dfrac{(4 + (\sqrt{4})\%)\% + 4!\pmf}{4\%\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1606 (4.6) $\dfrac{4! \times .\overline{4} + 4\%}{\left(\sqrt{.\overline{4}}\right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1607 (5.4) $\dfrac{4}{(\cot\arctan 4)\%} + \cosh(\sqrt{4} \times \arcosh\sqrt{4})$ Steve Wilson, 5/24 Lawrence, KS |
1608 (4.2) $\dfrac{4 + (\sqrt{4})\%}{\left(\sqrt{\sqrt{4^{-4}}}\right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1609 (5.0) $\dfrac{4}{(\cot\arctan 4)\%} + \dfrac{4}{.\overline{4}}$ Steve Wilson, 5/24 Lawrence, KS |
1610 (4.0) $\dfrac{\sqrt[.4]{4} + \sqrt{4\%}}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1611 (3.8) $\dfrac{(4 + \sqrt{4})! - 4}{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1612 (3.8) $4 \times \left( (4 + 4)!\% - \sqrt{4\%} \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1613 (3.8) $(4 + 4)! \times 4\% + \sqrt{4\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1614 (4.6) $\dfrac{\sqrt{.\overline{4}} + 4\%}{.\overline{4}\pmf} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1615 (5.4) $\coth\ln\coth\arcosh(4! + 4) + 4! \times \sqrt{4}$ Steve Wilson, 11/23 Lawrence, KS |
1616 (3.8) $\dfrac{(4 + \sqrt{4})!}{.\overline{4}} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1617 (5.4) $\coth\ln\coth\arcosh(4! + 4) + \dfrac{\sqrt{4}}{4\%}$ Steve Wilson, 11/23 Lawrence, KS |
1618 (4.0) $\dfrac{(4 + \sqrt{4})!}{.\overline{4}} -\sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1619 (4.2) $\dfrac{(4 + \sqrt{4})! - .\overline{4}}{.\overline{4}}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1620 (3.4) $\dfrac{4}{(.\overline{4} - .\overline{4} \times .\overline{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1621 (4.2) $\dfrac{(4+\sqrt{4})! + .\overline{4}}{.\overline{4}}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1622 (4.0) $\dfrac{(4+\sqrt{4})!}{.\overline{4}} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1623 (5.4) $\dfrac{4}{(\cot\arctan 4)\%} + \cot\arctan(4\%) - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1624 (3.6) $(4! - 4)^4 \% + 4!$ Steve Wilson, 11/09 Raytown, MO |
1625 (3.6) $\dfrac{4! + \sqrt{4}}{4 \times 4\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1626 (4.0) $\dfrac{4 - 4\%}{4!\%\%} - 4!$ Steve Wilson, 11/09 Raytown, MO |
1627 (5.6) $\dfrac{\left(\ln\sqrt{\sqrt{\exp 4!}}\right) + 4}{.\overline{4}} - \sqrt{4}$ Steve Wilson, 4/24 Lawrence, KS |
1628 (4.8) $\dfrac{4}{(\cot\arctan 4)\%} + 4! + 4$ Steve Wilson, 5/24 Lawrence, KS |
1629 (3.8) $\dfrac{(4 + \sqrt{4})! + 4}{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1630 (4.4) $\dfrac{.\overline{4} + (4! + 4)\%}{.\overline{4}\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1631 (5.2) $\dfrac{4}{(\cot\arctan 4)\%} + \cosh(\sqrt{4} \times \arcosh 4)$ Steve Wilson, 5/24 Lawrence, KS |
1632 (3.4) $(44 + 4!) \times 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1633 (5.2) $\dfrac{4}{(\cot\arctan 4)\%} + \cosh(\sqrt{4} \times \arsinh 4)$ Steve Wilson, 5/24 Lawrence, KS |
1634 (5.2) $\dfrac{4}{(\cot\arctan 4)\%} + 4! + (\antilog 4)\pm$ Steve Wilson, 5/24 Lawrence, KS |
1635 (4.6) $\dfrac{ \sqrt{.\overline{4}} + (4 + \sqrt{4})\%}{.\overline{4}\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1636 (5.4) $\dfrac{4}{(\cot\arctan 4)\%} + \dfrac{4!}{\sqrt{.\overline{4}}}$ Steve Wilson, 5/24 Lawrence, KS |
1637 (5.4) $\dfrac{4}{(\cot\arctan 4)\%} + \coth\ln\coth\arsinh 4 + 4$ Steve Wilson, 5/24 Lawrence, KS |
1638 (4.0) $\dfrac{4 + 4\pmf}{\left( \sqrt{4} + .\overline{4} \right)\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1639 (5.6) $\dfrac{4!}{(\csch\ln\sqrt{4})\%} - \cosh(4 \times \arsinh\sqrt{4})$ Steve Wilson, 5/24 Lawrence, KS |
1640 (3.4) $\dfrac{4 + 4^4 \%}{4\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1641 (4.0) $\dfrac{4 - 4\pmf}{4!\%\%} - 4!$ Steve Wilson, 11/09 Raytown, MO |
1642 (4.4) $\dfrac{4}{4!\%\%} - \sqrt{.\overline{4}} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1643 (5.8) $\dfrac{(\antilog 4)\pmf}{\sech(4 \times \arsinh\sqrt{4})} + \coth\ln\coth\arsinh 4$ Steve Wilson, 5/24 Lawrence, KS |
1644 (4.0) $\dfrac{(4 + \sqrt{4})!}{.\overline{4}} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1645 (5.2) $\dfrac{4}{(\cot\arctan 4)\%} + \dfrac{4!}{\csch\ln 4}$ Steve Wilson, 5/24 Lawrence, KS |
1646 (3.8) $\dfrac{4 - 4\%}{4!\%\%} - 4$ Steve Wilson, 11/09 Raytown, MO |
1647 (5.6) $\dfrac{4}{(\cot\arctan 4)\%} + \cosh(\sqrt{4} \times \arcosh\sqrt{4!})$ Steve Wilson, 5/24 Lawrence, KS |
1648 (4.0) $\left( \sqrt{\sqrt{4^{4!}}} + 4! \right) \times .4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1649 (4.0) $\sqrt[\sqrt{4\%}]{4} + \sqrt{4\%^{-4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1650 (3.8) $\dfrac{44}{4\% \times \sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1651 (4.2) $\dfrac{4 - (4 - 4!\%)\%}{4!\%\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1652 (4.0) $\dfrac{4 - 4\%}{4!\%\%} + \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1653 (5.6) $\dfrac{\left(\ln\sqrt{\sqrt{\exp 4!}}\right) + 4}{.\overline{4}} + 4!$ Steve Wilson, 4/24 Lawrence, KS |
1654 (3.8) $\dfrac{4 - 4\%}{4!\%\%} + 4$ Steve Wilson, 11/09 Raytown, MO |
1655 (4.0) $\dfrac{4 - (4! + 4)\pmf}{4!\%\%}$ Steve Wilson, 11/09 Raytown, MO |
1656 (3.6) $\dfrac{(4+4)!}{4!} - 4!$ Steve Wilson, 11/09 Raytown, MO |
1657 (5.6) $\dfrac{4}{(\cot\arctan 4)\%} + \coth\ln\coth\arsinh 4 + 4!$ Steve Wilson, 5/24 Lawrence, KS |
1658 (5.4) $\dfrac{\coth\ln\coth\arsinh 4 + 4 \times 4\%}{(\sqrt{4})\%}$ Steve Wilson, 5/24 Lawrence, KS |
1659 (3.8) $\dfrac{(4^4 + 4!)\%}{\sqrt{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1660 (4.6) $\dfrac{\sqrt{.\overline{4}} + 44\%}{\left(\sqrt{.\overline{4}} \right)\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1661 (3.8) $\dfrac{4 - 4\pmf}{4!\%\%} - 4$ Steve Wilson, 11/09 Raytown, MO |
1662 (4.2) $\dfrac{4}{4!\%\%} - \sqrt{.\overline{4}} - 4$ Steve Wilson, 11/09 Raytown, MO |
1663 (4.0) $\dfrac{4 - 4\pmf}{4!\%\%} - \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1664 (4.4) $\left(\sqrt{(\sqrt{4})\%^{-4}} - 4 \right) \times \sqrt{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1665 (3.8) $\dfrac{4 - 4\pmf}{(\sqrt{4} + .4)\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1666 (4.2) $\dfrac{4}{(\sqrt{4} + .4)\pmf} - \sqrt{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1667 (4.0) $\dfrac{4 - 4\pmf}{4!\%\%} + \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1668 (4.2) $\dfrac{4 + (\sqrt[.4]{4})\%\%}{4!\%\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1669 (3.8) $\dfrac{4 - 4\pmf}{4!\%\%} + 4$ Steve Wilson, 11/09 Raytown, MO |
1670 (3.8) $\dfrac{4 + (4+4)\pmf}{4!\%\%}$ Steve Wilson, 11/09 Raytown, MO |
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| 1671 (4.0) $\dfrac{4 + (\sqrt{4})\%}{4!\%\%} - 4$ Steve Wilson, 11/09 Raytown, MO |
1672 (4.8) $\dfrac{4! \times \left(.\overline{4} + (\sqrt{4})\% \right)}{\left( \sqrt{.\overline{4}} \right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1673 (4.2) $\dfrac{4 + (\sqrt{4})\%}{4!\%\%} - \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1674 (4.0) $\dfrac{(4 + \sqrt{4})! + 4!}{.\overline{4}}$ Steve Wilson, 10/09 Raytown, MO |
1675 (4.0) $\dfrac{4 + (\sqrt{4})\%}{(\sqrt{4} + .4)\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1676 (3.4) $\dfrac{(4+4)!}{4!} - 4$ Steve Wilson, 11/09 Raytown, MO |
1677 (4.2) $\dfrac{4 + (\sqrt{4})\%}{4!\%\%} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1678 (3.6) $\dfrac{(4+4)!}{4!} - \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1679 (3.6) $\dfrac{(4+4)! - 4!}{4!}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1680 (3.6) $\dfrac{(4+4)!}{(\sqrt{4 \times 4})!}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1681 (3.6) $\dfrac{(4+4)! + 4!}{4!}$ Steve Wilson, 11/09 Raytown, MO |
1682 (3.6) $\dfrac{(4+4)!}{4!} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1683 (5.8) $\dfrac{\coth\ln 4 - (\coth\ln 4)\%}{\left(\sqrt{.\overline{44}}\right)\pmf}$ Steve Wilson, 5/24 Lawrence, KS |
1684 (3.4) $\dfrac{(4+4)!}{4!} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1685 (3.8) $\dfrac{4 + 44\pmf}{4!\%\%}$ Steve Wilson, 10/09 Raytown, MO |
1686 (5.6) $\dfrac{(4+4)!}{4!} + \Gamma(4)$ Steve Wilson, 5/24 Lawrence, KS |
1687 (5.8) $\dfrac{\coth\ln 4 - (\coth\ln 4)\%}{\left(\sqrt{.\overline{4}}\right)\pmf} + 4$ Steve Wilson, 5/24 Lawrence, KS |
1688 (5.6) $\dfrac{\coth\ln 4}{\left(\sqrt{.\overline{4}}\right)\pmf} - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 5/24 Lawrence, KS |
1689 (4.0) $\dfrac{4 - 4\pmf}{4!\%\%} + 4!$ Steve Wilson, 11/09 Raytown, MO |
1690 (3.8) $\dfrac{\sqrt{(4! + \sqrt{4})^4}}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1691 (5.6) $\dfrac{\coth\ln 4}{\left(\sqrt{.\overline{4}}\right)\pmf} - \dfrac{4}{.\overline{4}}$ Steve Wilson, 5/24 Lawrence, KS |
1692 (4.2) $(4 - 4!\pm) \times \dfrac{\sqrt{4}}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1693 (5.6) $\dfrac{\coth\ln 4 - (\sqrt{4})\pmf}{\left(\sqrt{.\overline{4}}\right)\pmf} - 4$ Steve Wilson, 5/24 Lawrence, KS |
1694 (5.2) $\dfrac{4 + 4!\%}{(\cot\arctan 4)\%} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1695 (4.4) $\dfrac{4 + (\sqrt{4})\%\%}{(4!\% - 4\pm)\%\phantom8}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1696 (4.2) $\dfrac{4 + 4!\%}{\left(\sqrt{\sqrt{4^{-4}}}\right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1697 (5.6) $\dfrac{\coth\ln 4}{\left(\sqrt{.\overline{4}}\right)\pmf} - \log\left(\dfrac{4}{4\pmf}\right)$ Steve Wilson, 6/24 Lawrence, KS |
1698 (5.2) $\dfrac{4 + 4!\%}{(\cot\arctan 4)\%} + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1699 (4.2) $\dfrac{4 + (\sqrt{4})\%}{4!\%\%} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1700 (3.0) $\dfrac{4 + 4 - .\overline{4}}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1701 (4.4) $\dfrac{\sqrt{4} + 4!\%}{\left(\sqrt[.4]{.\overline{4}} \right)\%}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1702 (5.4) $\dfrac{\coth\ln 4}{\left(\sqrt{.\overline{4}}\right)\pmf} + \dfrac{4}{\sqrt{4}}$ Steve Wilson, 5/24 Lawrence, KS |
1703 (5.6) $\dfrac{\coth\ln 4}{\left(\sqrt{.\overline{4}}\right)\pmf} + \log\left(\dfrac{4}{4\pmf}\right)$ Steve Wilson, 6/24 Lawrence, KS |
1704 (3.6) $\dfrac{(4+4)!}{4!} + 4!$ Steve Wilson, 11/09 Raytown, MO |
1705 (4.2) $\dfrac{\left( \sqrt{\sqrt{4^{4!}}} - 4 \right)\%}{4!\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1706 (4.8) $\dfrac{\left(\sqrt{.\overline{4}}\right)\%}{4^{-4}\pm} - \sqrt{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1707 (5.6) $\dfrac{\coth\ln 4 + (\sqrt{4})\pmf}{\left(\sqrt{.\overline{4}}\right)\pmf} + 4$ Steve Wilson, 5/24 Lawrence, KS |
1708 (5.2) $\dfrac{\coth\ln 4}{\left(\sqrt{.\overline{4}}\right)\pmf} + 4 + 4$ Steve Wilson, 5/24 Lawrence, KS |
1709 (5.6) $\dfrac{\coth\ln 4}{\left(\sqrt{.\overline{4}}\right)\pmf} + \dfrac{4}{.\overline{4}}$ Steve Wilson, 5/24 Lawrence, KS |
1710 (2.8) $\dfrac{4 + 4 - .4}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1711 (4.8) $\dfrac{.\overline{4} + (4! - .\overline{4}\%)\%}{4\%\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1712 (4.0) $\dfrac{4 - 4! \times 4!\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1713 (5.8) $\dfrac{\coth\ln 4 + (\coth\ln 4)\%}{\left(\sqrt{.\overline{4}}\right)\pmf} - 4$ Steve Wilson, 5/24 Lawrence, KS |
1714 (4.2) $\dfrac{4! - 4\pmf}{\left( \sqrt{\sqrt{4} - 4\%} \right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1715 (5.8) $\dfrac{\coth\ln 4}{\left(\sqrt{.\overline{4}}\right)\pmf} + \dfrac{\arcsec\sqrt{4}}{4^\circ}$ Steve Wilson, 5/24 Lawrence, KS |
1716 (4.6) $\dfrac{\sqrt{.\overline{4}} + 4! \times 4\pmf}{.\overline{4}\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1717 (5.8) $\dfrac{\coth\ln 4 + (\coth\ln 4)\%}{\left(\sqrt{.\overline{44}}\right)\pmf}$ Steve Wilson, 5/24 Lawrence, KS |
1718 (5.4) $\dfrac{\coth\ln\coth\arcosh\sqrt{4}}{4\pmf} - \sqrt[.4]{4}$ Steve Wilson, 5/24 Lawrence, KS |
1719 (5.8) $\dfrac{\coth\ln\coth\arcosh\sqrt{4}}{4\pmf} - \cosh(\sqrt{4} \times \arcosh 4)$ Steve Wilson, 5/24 Lawrence, KS |
1720 (3.6) $\dfrac{4}{4\pmf} + (4 + \sqrt{4})!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1721 (5.8) $\dfrac{\coth\ln 4 - (\sqrt{4})\pmf}{\left(\sqrt{.\overline{4}}\right)\pmf} + 4!$ Steve Wilson, 5/24 Lawrence, KS |
1722 (5.6) $\dfrac{\coth\ln 4}{\left(\sqrt{.\overline{4}}\right)\pmf} - 4! + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1723 (5.8) $\dfrac{\cot\arctan(4\%) - \sqrt{4}}{(\csch\ln\sqrt{4})\%} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1724 (4.2) $\sqrt{\sqrt{\sqrt{\left( \dfrac{4!}{\sqrt{4}} \right)^{4!}}}} - 4$ Steve Wilson, 11/09 Raytown, MO |
1725 (4.4) $\dfrac{\sqrt{.\overline{4}} + \dfrac{.4}{4}}{.\overline{4}\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1726 (4.2) $\dfrac{4 + \sqrt{4\%}}{4!\%\%} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1727 (5.8) $\dfrac{\cot\arctan(4\%) - \sqrt{4}}{(\csch\ln\sqrt{4})\%} + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1728 (3.6) $(4 \times 4! - 4!) \times 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1729 (5.6) $\dfrac{\cot\arctan(4\%) - \sqrt{4}}{(\csch\ln\sqrt{4})\%} + 4$ Steve Wilson, 5/24 Lawrence, KS |
1730 (4.2) $\dfrac{4 - \dfrac{4!\%}{.\overline{4}}}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1731 (5.8) $\dfrac{\coth\ln 4}{\left(\sqrt{.\overline{4}}\right)\pmf} + \cosh(\sqrt{4} \times \arcosh 4)$ Steve Wilson, 5/24 Lawrence, KS |
1732 (4.2) $\sqrt{\sqrt{\sqrt{\left( \dfrac{4!}{\sqrt{4}} \right)^{4!}}}} + 4$ Steve Wilson, 11/09 Raytown, MO |
1733 (5.8) $\dfrac{\coth\ln 4}{\left(\sqrt{.\overline{4}}\right)\pmf} + \cosh(\sqrt{4} \times \arsinh 4)$ Steve Wilson, 5/24 Lawrence, KS |
1734 (4.2) $\sqrt{\left(\dfrac{\sqrt{4} + 4\%}{(\sqrt{4!})\%} \right)^4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1735 (4.4) $\sqrt{4!\pm^{-4}}\phantom8 - \dfrac{.\overline{4}}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1736 (4.2) $\sqrt{4!\pm^{-4}}\phantom8 - \dfrac{.\overline{4}}{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1737 (4.2) $\left( 4\%^{-4}\% + \sqrt{4} \right) \times .\overline{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1738 (5.6) $\dfrac{\coth\ln\coth\arcosh\sqrt{4}}{4\pmf} - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 5/24 Lawrence, KS |
1739 (5.4) $\dfrac{\coth\ln\coth\arcosh\sqrt{4} - 44\pmf}{4\pmf}$ Steve Wilson, 5/24 Lawrence, KS |
1740 (3.8) $\dfrac{(4 + \sqrt{4})! - 4!}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1741 (5.6) $\dfrac{\coth\ln\coth\arcosh\sqrt{4}}{4\pmf} - \dfrac{4}{.\overline{4}}$ Steve Wilson, 5/24 Lawrence, KS |
1742 (5.2) $\dfrac{\coth\ln\coth\arcosh\sqrt{4}}{4\pmf} - 4 - 4$ Steve Wilson, 5/24 Lawrence, KS |
1743 (5.6) $\dfrac{\coth\ln\coth\arcosh\sqrt{4} - (4! + 4)\pmf}{4\pmf}$ Steve Wilson, 5/24 Lawrence, KS |
1744 (3.8) $\sqrt[\sqrt{4\%}]{4} + (4 + \sqrt{4})!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1745 (5.6) $\dfrac{\coth\ln\coth\arcosh\sqrt{4}}{4\pmf} - \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 5/24 Lawrence, KS |
1746 (4.0) $\dfrac{4 + 4 - 4!\%}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1747 (5.6) $\dfrac{\coth\ln\coth\arcosh\sqrt{4}}{4\pmf} - \log\left(\dfrac{4}{4\pmf}\right)$ Steve Wilson, 6/24 Lawrence, KS |
1748 (4.2) $\dfrac{4 + \sqrt{4\%}}{4!\%\%} - \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1749 (5.2) $\dfrac{\coth\ln\coth\arcosh\sqrt{4}}{4\pmf} - \dfrac44$ Steve Wilson, 5/24 Lawrence, KS |
1750 (3.4) $\dfrac{4! + 4}{4 \times 4\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
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| 1751 (5.2) $\dfrac{\coth\ln\coth\arcosh\sqrt{4}}{4\pmf} + \dfrac44$ Steve Wilson, 5/24 Lawrence, KS |
1752 (4.0) $\left( \dfrac{4}{.\overline{4}\%} - 4! \right) \times \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1753 (5.6) $\dfrac{\coth\ln\coth\arcosh\sqrt{4}}{4\pmf} + \log\left(\dfrac{4}{4\pmf}\right)$ Steve Wilson, 6/24 Lawrence, KS |
1754 (4.0) $\dfrac{4 + \sqrt{4\%}}{4!\%\%} + 4$ Steve Wilson, 11/09 Raytown, MO |
1755 (4.0) $\dfrac{4 + 4 - \sqrt{4\%}}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1756 (4.2) $\dfrac{\sqrt{.\overline{4}}}{.\overline{4}\pmf} + 4^4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1757 (5.6) $\dfrac{\coth\ln\coth\arcosh\sqrt{4} + (4! + 4)\pmf}{4\pmf}$ Steve Wilson, 5/24 Lawrence, KS |
1758 (5.6) $\dfrac{\coth\ln 4 + 4\%}{\left(\sqrt{.\overline{4}}\right)\pmf} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1759 (5.6) $\dfrac{\coth\ln\coth\arcosh\sqrt{4}}{4\pmf} + \dfrac{4}{.\overline{4}}$ Steve Wilson, 5/24 Lawrence, KS |
1760 (3.8) $\dfrac{4.4}{\left(\sqrt{\sqrt{4^{-4}}}\right)\%}$ Steve Wilson, 11/09 Raytown, MO |
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| 1761 (5.4) $\dfrac{\coth\ln\coth\arcosh\sqrt{4} + 44\pmf}{4\pmf}$ Steve Wilson, 5/24 Lawrence, KS |
1762 (5.6) $\dfrac{\coth\ln 4 + 4\%}{\left(\sqrt{.\overline{4}}\right)\pmf} + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1763 (5.6) $\coth\ln\coth\arcsch(4\%) + \sqrt{4^{4/.\overline{4}}}$ Steve Wilson, 5/24 Lawrence, KS |
1764 (3.4) $\sqrt{(44 - \sqrt{4})^4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1765 (4.2) $\dfrac{4 + (4! - .4)\%}{4!\%\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1766 (5.2) $\dfrac{4! - .4}{(\csch\ln\sqrt{4})\%} - 4$ Steve Wilson, 5/24 Lawrence, KS |
1767 (5.2) $\dfrac{4! - 44\%}{(\csch\ln\sqrt{4})\%}$ Steve Wilson, 5/24 Lawrence, KS |
1768 (5.2) $\dfrac{4!}{(\csch\ln\sqrt{4})\%} - \sqrt[.4]{4}$ Steve Wilson, 5/24 Lawrence, KS |
1769 (5.6) $\dfrac{4!}{(\csch\ln\sqrt{4})\%} - \cosh(\sqrt{4} \times \arcosh 4)$ Steve Wilson, 5/24 Lawrence, KS |
1770 (4.2) $\dfrac{4! - .4}{\left(\sqrt{4 \times .\overline{4}} \right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1771 (5.2) $\dfrac{\sinh\ln\sqrt{4} - 4\%}{4\%\%} - 4$ Steve Wilson, 5/24 Lawrence, KS |
1772 (5.2) $\dfrac{4!}{(\csch\ln\sqrt{4})\%} - 4! - 4$ Steve Wilson, 5/24 Lawrence, KS |
1773 (5.4) $\dfrac{\sinh\ln\sqrt{4} - 4\%}{4\%\%} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1774 (4.2) $\dfrac{4 + \sqrt{4\%}}{4!\%\%} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1775 (4.2) $\dfrac{4 - \dfrac{\sqrt{4\%}}{.\overline{4}}}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1776 (2.0) $444 \times 4$ Darren Boss, 2/03 Shawnee, KS |
1777 (5.4) $\dfrac{\sinh\ln\sqrt{4} - 4\%}{4\%\%} + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1778 (4.4) $\dfrac{4 - .\overline{4} + .\overline{4}\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1779 (5.2) $\dfrac{\sinh\ln\sqrt{4} - 4\%}{4\%\%} + 4$ Steve Wilson, 5/24 Lawrence, KS |
1780 (3.6) $\dfrac{4 - 44\%}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1781 (5.4) $\dfrac{4! - \sqrt{4\%}}{(\csch\ln\sqrt{4})\%} - 4$ Steve Wilson, 5/24 Lawrence, KS |
1782 (4.0) $(4 - 4\%) \times \dfrac{\sqrt{4}}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1783 (5.6) $\dfrac{4! - \sqrt{4\%}}{(\csch\ln\sqrt{4})\%} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1784 (3.8) $4 \times \left( \dfrac{\sqrt{4}}{.\overline{4}\%} - 4 \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1785 (4.4) $\dfrac{4! - \sqrt{4\%}}{\left(\sqrt{4 \times .\overline{4}} \right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1786 (5.4) $\dfrac{4!}{(\csch\ln\sqrt{4})\%} - (\antilog 4)\pm - 4$ Steve Wilson, 5/24 Lawrence, KS |
1787 (5.6) $\dfrac{4! - \sqrt{4\%}}{(\csch\ln\sqrt{4})\%} + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1788 (4.0) $\dfrac{4 - .4 - 4!\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1789 (5.4) $\dfrac{4! - \sqrt{4\%}}{(\csch\ln\sqrt{4})\%} + 4$ Steve Wilson, 5/24 Lawrence, KS |
1790 (3.6) $\dfrac{(4 + \sqrt{4})! - 4}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1791 (2.8) $\dfrac{4 + 4 - 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1792 (3.6) $(4 + 4)! \times 4.\overline{4}\%$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1793 (5.2) $\dfrac{4! - 4\%}{(\csch\ln\sqrt{4})\%} - 4$ Steve Wilson, 5/24 Lawrence, KS |
1794 (4.2) $\dfrac{\dfrac{4!}{(\sqrt{4})\%} - 4}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1795 (3.8) $\dfrac{(4 + \sqrt{4})! - \sqrt{4}}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1796 (2.6) $\dfrac{4 + 4}{.\overline{4}\%} - 4$ Steve Wilson, 11/09 Raytown, MO |
1797 (4.2) $\dfrac{4! - 4\%}{\left( \sqrt{4 \times .\overline{4}} \right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1798 (3.8) $\dfrac{4 + 4}{.\overline{4}\%} - \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1799 (3.8) $\dfrac{(4 + \sqrt{4})! - .4}{.4}$ Steve Wilson, 11/09 Raytown, MO |
1800 (2.6) $\dfrac{4 + 4}{.\overline{44}\%}$ David Barksdale, 3/09 Kirkland, WA |
|
| 1801 (3.8) $\dfrac{(4 + \sqrt{4})! + .4}{.4}$ Steve Wilson, 11/09 Raytown, MO |
1802 (3.8) $\dfrac{4 + 4}{.\overline{4}\%} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1803 (4.2) $\dfrac{4! + 4\%}{\left(\sqrt{4 \times .\overline{4}}\right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1804 (2.6) $\dfrac{4 + 4}{.\overline{4}\%} + 4$ Steve Wilson, 11/09 Raytown, MO |
1805 (3.8) $\dfrac{(4 + \sqrt{4})! + \sqrt{4}}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1806 (4.2) $\dfrac{\dfrac{4!}{(\sqrt{4})\%} + 4}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1807 (5.2) $\dfrac{4! + 4\%}{(\csch\ln\sqrt{4})\%} + 4$ Steve Wilson, 5/24 Lawrence, KS |
1808 (3.8) $\left( \dfrac{4}{.\overline{4}\%} + 4 \right) \times \sqrt{4}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1809 (2.8) $\dfrac{4 + 4 + 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1810 (3.6) $\dfrac{(4 + \sqrt{4})! + 4}{.4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1811 (5.4) $\dfrac{4! + \sqrt{4\%}}{(\csch\ln\sqrt{4})\%} - 4$ Steve Wilson, 5/24 Lawrence, KS |
1812 (4.0) $\dfrac{4 - .4 + 4!\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1813 (5.6) $\dfrac{4! + \sqrt{4\%}}{(\csch\ln\sqrt{4})\%} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1814 (4.0) $\dfrac{\left(\dfrac{4}{.4} \right)!\pmf}{\sqrt{4}} - .4$ Steve Wilson, 11/09 Raytown, MO |
1815 (4.4) $\dfrac{4! + \sqrt{4\%}}{\left(\sqrt{4 \times .\overline{4}} \right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1816 (3.8) $4 \times \left( \dfrac{\sqrt{4}}{.\overline{4}\%} + 4 \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1817 (5.6) $\dfrac{4! + \sqrt{4\%}}{(\csch\ln\sqrt{4})\%} + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1818 (4.0) $(4 + 4\%) \times \dfrac{\sqrt{4}}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1819 (5.4) $\dfrac{4! + \sqrt{4\%}}{(\csch\ln\sqrt{4})\%} + 4$ Steve Wilson, 5/24 Lawrence, KS |
1820 (3.8) $\dfrac{4 - .4 + 4\%}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1821 (4.4) $\dfrac{\dfrac{\sqrt{4}}{4!\%\%} - 4!}{.\overline{4}}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1822 (5.4) $\dfrac{4!}{(\csch\ln\sqrt{4})\%} + 4! - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1823 (5.0) $\cosh(4 \times \arcosh 4) - \antilog\sqrt{4} + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1824 (3.8) $\dfrac{4 + 4}{.\overline{4}\%} + 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1825 (3.8) $\dfrac{44 - \sqrt{4\%}}{4!\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1826 (4.8) $\dfrac{.\overline{4} - .\overline{4}\pmf}{4!\%\pmf} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1827 (5.4) $\dfrac{\sinh\ln\sqrt{4}}{4\%\%} - 4! - 4!$ Steve Wilson, 5/24 Lawrence, KS |
1828 (5.2) $\dfrac{4!}{(\csch\ln\sqrt{4})\%} + 4! + 4$ Steve Wilson, 5/24 Lawrence, KS |
1829 (5.4) $\dfrac{4! - .4}{.4 \times \tanh\ln\coth\arcosh 4}$ Steve Wilson, 5/24 Lawrence, KS |
1830 (4.2) $\dfrac{4! + .4}{\left(\sqrt{4 \times .\overline{4}} \right)\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1831 (5.0) $\dfrac{\sinh\ln\sqrt{4}}{4\%\%} - 44$ Steve Wilson, 5/24 Lawrence, KS |
1832 (5.2) $\dfrac{4!}{(\csch\ln\sqrt{4})\%} + \sqrt[.4]{4}$ Steve Wilson, 5/24 Lawrence, KS |
1833 (5.2) $\dfrac{4! + 44\%}{(\csch\ln\sqrt{4})\%}$ Steve Wilson, 5/24 Lawrence, KS |
1834 (4.0) $\dfrac{44}{4!\pmf} + \sqrt{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1835 (3.6) $\dfrac{44 + 4\%}{4!\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1836 (4.0) $\dfrac{4 \times (\sqrt{4} + 4\%)}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1837 (5.8) $\dfrac{4!}{(\csch\ln\sqrt{4})\%} + \coth\ln\coth\arsinh 4 + 4$ Steve Wilson, 5/24 Lawrence, KS |
1838 (5.8) $\dfrac{\sinh\ln\sqrt{4}}{4\%\%} - \coth\ln\coth\arsinh 4 - 4$ Steve Wilson, 5/24 Lawrence, KS |
1839 (5.6) $\dfrac{4! + \sqrt{4\%}}{(\csch\ln\sqrt{4})\%} + 4!$ Steve Wilson, 5/24 Lawrence, KS |
1840 (3.8) $\dfrac{4 - (\sqrt[.4]{4})\%}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1841 (5.6) $\dfrac{\sinh\ln\sqrt{4}}{4\%\%} - 4! - (\antilog 4)\pm$ Steve Wilson, 5/24 Lawrence, KS |
1842 (5.6) $\dfrac{4! + 4!\%}{(\csch\ln\sqrt{4})\%} + 4!$ Steve Wilson, 5/24 Lawrence, KS |
1843 (5.2) $\dfrac{\sinh\ln\sqrt{4}}{4\%\%} - \sqrt[.4]{4}$ Steve Wilson, 5/24 Lawrence, KS |
1844 (5.0) $\dfrac{4!}{(\csch\ln\sqrt{4})\%} + 44$ Steve Wilson, 5/24 Lawrence, KS |
1845 (4.0) $\dfrac{4 + 4 + \sqrt{4\%}}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1846 (4.6) $\dfrac{.\overline{4} - .\overline{4}\pmf}{4!\%\pmf} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1847 (4.8) $(\tan\arcsec\sqrt{44})^4 - \sqrt{4}$ Steve Wilson, 8/24 Lawrence, KS |
1848 (4.0) $\left( \dfrac{4}{.\overline{4}\%} + 4! \right) \times \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1849 (4.2) $\sqrt{\left(\dfrac{\sqrt{4}}{.\overline{4}\%} - \sqrt{4} \right)^4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1850 (3.4) $\dfrac{44.4}{4!\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1851 (4.4) $\dfrac{\sqrt{4}}{\left( .4 + \sqrt{.\overline{4}} \right)\pmf} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1852 (4.8) $\dfrac{.\overline{4} - .\overline{4}\pmf}{4!\%\pmf} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1853 (4.6) $(\tan\arcsec\sqrt{44})^4 + 4$ Steve Wilson, 8/24 Lawrence, KS |
1854 (4.0) $\dfrac{4 + 4 + 4!\%}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1855 (5.2) $\dfrac{\sinh\ln\sqrt{4} - (4 + 4)\pmf}{4\%\%}$ Steve Wilson, 5/24 Lawrence, KS |
1856 (4.0) $\dfrac{4 - 4!\%}{(\sqrt{4})\pmf} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1857 (5.8) $\dfrac{\sinh\ln\sqrt{4}}{4\%\%} - \dfrac{4!}{\csch\ln\sqrt{4}}$ Steve Wilson, 5/24 Lawrence, KS |
1858 (5.8) $\dfrac{\sinh\ln\sqrt{4}}{4\%\%} - \cosh(4 \times \arcosh\sqrt{\sqrt{4}})$ Steve Wilson, 5/24 Lawrence, KS |
1859 (5.0) $\dfrac{\sinh\ln\sqrt{4}}{4\%\%} - 4 \times 4$ Steve Wilson, 5/24 Lawrence, KS |
1860 (3.8) $\dfrac{4 - (4! + 4)\%}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1861 (4.8) $\cosh(4 \times \arcosh 4) - \dfrac{4!}{.4}$ Steve Wilson, 5/24 Lawrence, KS |
1862 (5.8) $\dfrac{\antilog\sqrt{4} - \sqrt{4}}{\tanh\ln\sqrt{\dfrac{.\overline{4}}{.4}}}$ Steve Wilson, 5/24 Lawrence, KS |
1863 (5.4) $\dfrac{\sinh\ln\sqrt{4} - 4\pmf}{4\%\%} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1864 (5.2) $\dfrac{\sinh\ln\sqrt{4} - 4.4\pmf}{4\%\%}$ Steve Wilson, 5/24 Lawrence, KS |
1865 (4.6) $\dfrac{\dfrac{\sqrt{4}}{.\overline{4}} - 4!\pmf}{4!\%\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1866 (4.2) $\dfrac{\dfrac{\sqrt{4}}{4!\%\%} - 4}{.\overline{4}}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1867 (5.4) $\dfrac{\sinh\ln\sqrt{4} - 4\pmf}{4\%\%} + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1868 (4.2) $\dfrac{4 - 4!\% - 4!\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1869 (5.2) $\dfrac{\sinh\ln\sqrt{4}}{4\%\%} - \dfrac{4!}{4}$ Steve Wilson, 5/24 Lawrence, KS |
1870 (4.0) $\dfrac{4 - (4! + \sqrt{4})\%}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1871 (4.2) $\dfrac{\sqrt{4}}{\left(.4 + \sqrt{.\overline{4}} \right)\pmf} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1872 (3.6) $\dfrac{4 - 4^4\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1873 (4.4) $\dfrac{\sqrt{4}}{\left(.4 + \sqrt{.\overline{4}} \right)\pmf} - \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1874 (4.4) $\dfrac{\dfrac{\sqrt{4}}{.\overline{4}\%\%} - 4!}{4!}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1875 (3.8) $4! \times \sqrt{4} \times .4^{-4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1876 (3.8) $\dfrac{4 - 4!\%}{(\sqrt{4})\pmf} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1877 (4.4) $\dfrac{\sqrt{4}}{\left(.4 + \sqrt{.\overline{4}} \right)\pmf} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1878 (4.0) $\dfrac{4 - 4!\% - 4\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1879 (4.2) $\dfrac{\sqrt{4}}{\left(.4 + \sqrt{.\overline{4}} \right)\pmf} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1880 (3.8) $(4 - 4!\%) \times \dfrac{\sqrt{4}}{4\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1881 (4.2) $\dfrac{4 - (4! - \sqrt{4\%})\%}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1882 (4.0) $\dfrac{4 - 4!\% + 4\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1883 (5.4) $\dfrac{\sinh\ln\sqrt{4} + 4\pmf}{4\%\%} - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1884 (3.8) $\dfrac{4 - 4!\%}{(\sqrt{4})\pmf} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1885 (4.6) $\dfrac{\left( \dfrac{\sqrt{4}}{.\overline{4}\pmf} + 4! \right)\%}{4!\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1886 (5.2) $\dfrac{\sinh\ln\sqrt{4} + 4.4\pmf}{4\%\%}$ Steve Wilson, 5/24 Lawrence, KS |
1887 (5.4) $\dfrac{\sinh\ln\sqrt{4} + 4\pmf}{4\%\%} + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1888 (4.6) $\dfrac{(4! - .4)\%}{\left( \sqrt[-\sqrt{.\overline{4}}]{4} \right)\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1889 (4.6) $\cosh(4 \times \arcosh 4) - \sqrt[.4]{4}$ Steve Wilson, 5/24 Lawrence, KS |
1890 (2.6) $\dfrac{4.4 + 4}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1891 (4.4) $\dfrac{.\overline{4} + .4 - 4\pmf}{.\overline{4}\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1892 (4.2) $\dfrac{4 - 4!\% + 4!\pmf}{(\sqrt{4})\pmf}$ Steve Wilson, 5/10 Raytown, MO |
1893 (4.6) $\cosh(4 \times \arcosh 4) - 4! - 4$ Steve Wilson, 9/23 Lawrence, KS |
1894 (5.2) $\cosh(4 \times \arcosh 4) - \cot\arctan(4\%) - \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1895 (4.8) $\cosh(4 \times \arcosh 4) - 4! - \sqrt{4}$ Steve Wilson, 9/23 Lawrence, KS |
1896 (4.0) $4 \times \left( \dfrac{\sqrt{4}}{.\overline{4}\%} + 4! \right)$ Steve Wilson, 5/10 Raytown, MO |
1897 (4.8) $\cosh(4 \times \arcosh 4) - (\sqrt{4 \times 4})!$ Steve Wilson, 9/23 Lawrence, KS |
1898 (4.0) $\dfrac{4 - \sqrt{4\%} - 4\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1899 (4.2) $\dfrac{4 - \sqrt{4\%} - (\sqrt{4})\pmf}{(\sqrt{4})\pmf}$ Steve Wilson, 5/10 Raytown, MO |
1900 (2.6) $\dfrac{4 + 4 - .4}{.4\%}$ Steve Wilson, 11/09 Raytown, MO |
|
| 1901 (4.2) $\dfrac{4 - \sqrt{4\%} + (\sqrt{4})\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1902 (4.0) $\dfrac{4 - \sqrt{4\%} + 4\pmf}{(\sqrt{4})\pmf}$ Steve Wilson, 11/09 Raytown, MO |
1903 (5.2) $\dfrac{\sinh\ln\sqrt{4}}{4\%\%} + 4! + 4$ Steve Wilson, 5/24 Lawrence, KS |
1904 (3.6) $4 \times \left( \dfrac{\sqrt{4}}{4\pmf} - 4! \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1905 (4.4) $\cosh(4 \times \arcosh 4) - 4 \times 4$ Steve Wilson, 9/23 Lawrence, KS |
1906 (5.0) $\cosh(4 \times \arcosh 4) - \dfrac{\arcsec\sqrt{4}}{4^\circ}$ Steve Wilson, 5/24 Lawrence, KS |
1907 (4.8) $\cosh(4 \times \arcosh 4) - (\antilog 4)\pm - 4$ Steve Wilson, 5/24 Lawrence, KS |
1908 (4.2) $(4 + 4!\pm) \times \dfrac{\sqrt{4}}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1909 (4.4) $\dfrac{.\overline{4} + .4 + 4\pmf}{.\overline{4}\pmf}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1910 (4.4) $\dfrac{.\overline{4} \times \sqrt{4} - 4\%}{.\overline{4}\pmf}$ Steve Wilson, 11/09 Raytown, MO |
|
| 1911 (4.6) $\cosh(4 \times \arcosh 4) - \dfrac{4}{.4}$ Steve Wilson, 9/23 Lawrence, KS |
1912 (3.4) $\sqrt{44^4} - 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1913 (4.4) $\cosh(4 \times \arcosh 4) - 4 - 4$ Steve Wilson, 9/23 Lawrence, KS |
1914 (5.2) $\cosh(4 \times \arcosh 4) - \cosh(\sqrt{4} \times \arcosh\sqrt{4})$ Steve Wilson, 5/24 Lawrence, KS |
1915 (4.6) $\cosh(4 \times \arcosh 4) - \dfrac{4!}{4}$ Steve Wilson, 9/23 Lawrence, KS |
1916 (4.0) $\dfrac{(4 + 4)!\pm - \sqrt{4}\phantom8}{(\sqrt{4}) \%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1917 (4.6) $\cosh(4 \times \arcosh 4) - \sqrt{4 \times 4}$ Steve Wilson, 9/23 Lawrence, KS |
1918 (4.6) $\dfrac{4!\%}{\left(\sqrt[-\sqrt{.\overline{4}}]{4} \right)\pmf} - \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1919 (4.6) $\cosh(4 \times \arcosh 4) - \dfrac{4}{\sqrt{4}}$ Steve Wilson, 9/23 Lawrence, KS |
1920 (3.4) $(4! - 4) \times 4 \times 4!$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1921 (4.4) $\dfrac44 \times \cosh(4 \times \arcosh 4)$ Steve Wilson, 9/23 Lawrence, KS |
1922 (4.4) $\cosh(4 \times \arcosh 4) + \dfrac44$ Steve Wilson, 9/23 Lawrence, KS |
1923 (4.6) $\cosh(4 \times \arcosh 4) + \dfrac{4}{\sqrt{4}}$ Steve Wilson, 9/23 Lawrence, KS |
1924 (4.0) $\sqrt[\sqrt{4\%}]{4} + \dfrac{4}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1925 (3.4) $\dfrac{\dfrac{4}{.\overline{4}} - .\overline{4}}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1926 (4.8) $\cosh(4 \times \arcosh 4) + \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 9/23 Lawrence, KS |
1927 (4.6) $\cosh(4 \times \arcosh 4) + \dfrac{4!}{4}$ Steve Wilson, 9/23 Lawrence, KS |
1928 (5.2) $\cosh(4 \times \arcosh 4) + \cosh(\sqrt{4} \times \arcosh\sqrt{4})$ Steve Wilson, 5/24 Lawrence, KS |
1929 (4.4) $4 \times \left( \left( \sqrt{.\overline{4}\%^{-4}} \right) \% -4! \right)$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1930 (4.8) $\cosh(4 \times \arcosh 4) + \dfrac{4}{.\overline{4}}$ Steve Wilson, 9/23 Lawrence, KS |
|
| 1931 (4.6) $\cosh(4 \times \arcosh 4) + \dfrac{4}{.4}$ Steve Wilson, 9/23 Lawrence, KS |
1932 (3.2) $\sqrt{44^4} - 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1933 (4.6) $\sqrt{(\sec\arctan 44)^4} - 4$ Steve Wilson, 8/24 Lawrence, KS |
1934 (3.4) $\sqrt{44^4} - \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1935 (3.2) $\dfrac{\dfrac{4}{.\overline{4}} - .4}{.\overline{4}\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1936 (2.0) $44 \times 44$ Steve Barker, 1/03 Stilwell, KS |
1937 (4.4) $\cosh(4 \times \arcosh 4) + 4 \times 4$ Steve Wilson, 9/23 Lawrence, KS |
1938 (3.4) $\sqrt{44^4} + \sqrt{4}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1939 (4.8) $\sqrt{(\sec\arctan 44)^4} + \sqrt{4}$ Steve Wilson, 8/24 Lawrence, KS |
1940 (3.2) $\sqrt{44^4} + 4$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
|
| 1941 (4.6) $\cosh(4 \times \arcosh 4) + 4! - 4$ Steve Wilson, 9/23 Lawrence, KS |
1942 (5.0) $\cosh(4 \times \arcosh 4) + \cot\arctan(4\%) - 4$ Steve Wilson, 5/24 Lawrence, KS |
1943 (4.8) $\cosh(4 \times \arcosh 4) + 4! - \sqrt{4}$ Steve Wilson, 9/23 Lawrence, KS |
1944 (3.8) $4^4 \times \sqrt[-.4]{.\overline{4}}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1945 (4.8) $\cosh(4 \times \arcosh 4) + (\sqrt{4 \times 4})!$ Steve Wilson, 9/23 Lawrence, KS |
1946 (4.0) $\dfrac{4}{(\sqrt{4})\pmf} - \dfrac{4!}{.\overline{4}}$ Steve Wilson, 11/09 Raytown, MO |
1947 (4.8) $\cosh(4 \times \arcosh 4) + 4! + \sqrt{4}$ Steve Wilson, 9/23 Lawrence, KS |
1948 (4.4) $\dfrac{\left( \sqrt{\sqrt{4^{4!}}}\right)\% - \sqrt{4}}{(\sqrt{4})\%}$ Paolo Pellegrini, 10/09 Martina Franca, Italy |
1949 (4.6) $\cosh(4 \times \arcosh 4) + 4! + 4$ Steve Wilson, 9/23 Lawrence, KS |
1950 (3.8) $\dfrac{4}{(\sqrt{4})\pmf} - \dfrac{\sqrt{4}}{4\%}$ Steve Wilson, 11/09 Raytown, MO |
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| 1951 (5.2) $\cosh(4 \times \arcosh 4) + \sqrt{\dfrac{4}{.\overline{4}\%}}$ Steve Wilson, 5/24 Lawrence, KS |
1952 (3.8) $\dfrac{4}{(\sqrt{4})\pmf} - 4! - 4!$ Steve Wilson, 11/09 Raytown, MO |
1953 (4.6) $\cosh(4 \times \arcosh 4) + \sqrt[.4]{4}$ Steve Wilson, 5/24 Lawrence, KS |
1954 (5.0) $\cosh(4 \times \arcosh 4) + \cosh(\sqrt{4} \times \arsinh 4)$ Steve Wilson, 5/24 Lawrence, KS |
1955 (4.0) $\dfrac{4 - \dfrac{4\%}{.\overline{4}}}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1956 (3.4) $\dfrac{4}{(\sqrt{4})\pmf} - 44$ Steve Wilson, 11/09 Raytown, MO |
1957 (5.2) $\cosh(4 \times \arcosh 4) + \dfrac{4!}{\sqrt{.\overline{4}}}$ Steve Wilson, 5/24 Lawrence, KS |
1958 (5.2) $\cosh(4 \times \arcosh 4) + \coth\ln\coth\arsinh 4 + 4$ Steve Wilson, 5/24 Lawrence, KS |
1959 (4.8) $\sqrt{(\tan\arcsec 44)^4} + 4!$ Steve Wilson, 8/24 Lawrence, KS |
1960 (3.4) $\sqrt{44^4} + 4!$ Steve Wilson, 11/09 Raytown, MO |
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| 1961 (4.8) $\cosh(4 \times \arcosh 4) + (\antilog 4) \times 4\pm$ Steve Wilson, 5/24 Lawrence, KS |
1962 (5.8) $\dfrac{4}{\left(\sqrt{4}\right)\pmf} - \cot\arctan((\cot\arctan(.4))\%) + \sqrt{4}$ Steve Wilson, 5/24 Lawrence, KS |
1963 (5.2) $\dfrac{4}{\left(\sqrt{4}\right)\pmf} - \coth\ln\coth\arsinh 4 - 4$ Steve Wilson, 5/24 Lawrence, KS |
1964 (4.0) $\dfrac{4 - 4!\pmf}{(\sqrt{4})\pmf} - 4!$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1965 (4.4) $\dfrac{ \left(4 + \dfrac{\sqrt{4}}{4!\pmf} \right)\%}{.\overline{4}\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1966 (4.0) $\dfrac{4 - (\sqrt{4})\%}{(\sqrt{4})\pmf} - 4!$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1967 (5.0) $\dfrac{4}{\left(\sqrt{4}\right)\pmf} - \cosh(\sqrt{4} \times \arsinh 4)$ Steve Wilson, 5/24 Lawrence, KS |
1968 (3.6) $\dfrac{4}{(\sqrt{4})\pmf} - \sqrt[.4]{4}$ Steve Wilson, 11/09 Raytown, MO |
1969 (4.8) $\cosh(4 \times \arcosh 4) + 4! + 4!$ Steve Wilson, 5/24 Lawrence, KS |
1970 (3.8) $\dfrac{4 - \dfrac{4!\%}{4}}{(\sqrt{4})\pmf}$ Steve Wilson, 11/09 Raytown, MO |
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| 1971 (4.2) $\dfrac{\dfrac{4}{.\overline{4}\%} - 4!}{.\overline{4}}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1972 (3.6) $\dfrac{4}{(\sqrt{4})\pmf} - 4! - 4$ Steve Wilson, 11/09 Raytown, MO |
1973 (4.2) $\dfrac{4 - \dfrac{4!\pmf}{.\overline{4}}}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1974 (3.8) $\dfrac{4}{(\sqrt{4})\pmf} - 4! - \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1975 (3.8) $\dfrac{4 - \dfrac{\sqrt{4\%}}{4}}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1976 (3.4) $\dfrac{4 + 4}{4\pmf} - 4!$ Steve Wilson, 11/09 Raytown, MO |
1977 (4.0) $\dfrac{4 + (\sqrt{4})\pmf}{(\sqrt{4})\pmf} - 4!$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1978 (3.8) $\dfrac{4}{(\sqrt{4})\pmf} - 4! + \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1979 (4.0) $\dfrac{4 - (4 + \sqrt{4\%})\%}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1980 (3.6) $\dfrac{4}{(\sqrt{4})\pmf} - 4! + 4$ Steve Wilson, 11/09 Raytown, MO |
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| 1981 (4.0) $\dfrac{4 - (4 - \sqrt{4\%})\%}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1982 (3.8) $\dfrac{4 - 4\%}{(\sqrt{4})\pmf} + \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1983 (5.2) $\dfrac{4}{\left(\sqrt{4}\right)\pmf} - \cosh(4 \times \arcosh\sqrt{\sqrt{4}})$ Steve Wilson, 5/24 Lawrence, KS |
1984 (3.4) $4 \times \left( \dfrac{\sqrt{4}}{4\pmf} - 4 \right)$ Steve Wilson, 11/09 Raytown, MO |
1985 (4.2) $\dfrac{4 - \left(\sqrt{\dfrac{4}{.\overline{4}}}\right)\%}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1986 (3.8) $\dfrac{4 - (\sqrt{4})\%}{(\sqrt{4})\pmf} - 4$ Steve Wilson, 11/09 Raytown, MO |
1987 (4.0) $\dfrac{4 - (4! + \sqrt{4})\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1988 (3.8) $\dfrac{4}{(\sqrt{4})\pmf} - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 11/09 Raytown, MO |
1989 (4.0) $\dfrac{4 - (4! - \sqrt{4})\pmf}{(\sqrt{4})\pmf}$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1990 (2.6) $\dfrac{4 + 4 - 4\%}{.4\%}$ Steve Wilson, 11/09 Raytown, MO |
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| 1991 (3.8) $\dfrac{4}{(\sqrt{4})\pmf} - \dfrac{4}{.\overline{4}}$ Steve Wilson, 11/09 Raytown, MO |
1992 (3.4) $\dfrac{4}{(\sqrt{4})\pmf} - 4 - 4$ Steve Wilson, 11/09 Raytown, MO |
1993 (5.2) $\dfrac{4}{\left(\sqrt{4}\right)\pmf} - \cosh(\sqrt{4} \times \arcosh\sqrt{4})$ Steve Wilson, 5/24 Lawrence, KS |
1994 (3.6) $\dfrac{4}{(\sqrt{4})\pmf} - 4 - \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1995 (3.8) $\dfrac{4}{(\sqrt{4})\pmf} - \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 11/09 Raytown, MO |
1996 (2.4) $\dfrac{4 + 4}{.4\%} - 4$ Steve Wilson, 11/09 Raytown, MO |
1997 (3.8) $\dfrac{4 + (\sqrt{4})\pmf}{(\sqrt{4})\pmf} - 4$ Paolo Pellegrini, 5/10 Martina Franca, Italy |
1998 (3.6) $\dfrac{4}{(\sqrt{4})\pmf} - 4 + \sqrt{4}$ Steve Wilson, 11/09 Raytown, MO |
1999 (2.8) $\dfrac{4 + 4 - .4\%}{.4\%}$ Steve Wilson, 11/09 Raytown, MO |
2000 (2.6) $\dfrac{4 \times 4}{(.4 + .4)\%}$ Steve Wilson, 11/09 Raytown, MO |
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