All 100 targets have a solution.
\(1 = 3 - \frac{ 14 }{ 7 }\)
\(2 = \frac{ 34 }{ 17 }\)
\(3 = 31 - 4 \cdot 7 \)
\(4 = 41 - 37 \)
\(5 = \frac{ 13 + 7 }{ 4 }\)
\(6 = \frac{ 14 \cdot 3 }{ 7 }\)
\(7 = \sqrt{\frac{ 147 }{ 3 }}\)
\(8 = ( \frac{ 14 }{ 7 } )^{3 }\)
\(9 = 3^{\frac{ 14 }{ 7 }}\)
\(10 = 13 + 4 - 7 \)
\(11 = 17 - 3 \cdot \sqrt{4 }\)
\(12 = \sqrt{147 - 3 }\)
\(13 = \sqrt{173 - 4 }\)
\(14 = ( 7 - 3! ) \cdot 14 \)
\(15 = 4 \cdot 7 - 13 \)
\(16 = 47 - 31 \)
\(17 = 34 - 17 \)
\(18 = 14 - 3 + 7 \)
\(19 = 13 \cdot \sqrt{4} - 7 \)
\(20 = 31 - 4 - 7 \)
\(21 = \sqrt{147 \cdot 3 }\)
\(22 = 13 + \sqrt{4} + 7 \)
\(23 = 37 - 14 \)
\(24 = ( 41 - 37 )!\)
\(25 = \frac{ 71 + 4 }{ 3 }\)
\(26 = 43 - 17 \)
\(27 = 34 \cdot 1 - 7 \)
\(28 = 71 - 43 \)
\(29 = \frac{ 174 }{ 3 ! }\)
\(30 = 13 + 4! - 7 \)
\(31 = 41 - 3 - 7 \)
\(32 = 73 - 41 \)
\(33 = 34 - 1^{7 }\)
\(34 = 47 - 13 \)
\(35 = 14 \cdot 3 - 7 \)
\(36 = 37 - 1^{4 }\)
\(37 = 71 - 34 \)
\(38 = 1^{4} + 37 \)
\(39 = ( 7 - 4 ) \cdot 13 \)
\(40 = 34 - 1 + 7 \)
\(41 = 4 \cdot 7 + 13 \)
\(42 = 31 + 4 + 7 \)
\(43 = 74 - 31 \)
\(44 = 1^{7} + 43 \)
\(45 = 13 \cdot 4 - 7 \)
\(46 = 47 - 1^{3 }\)
\(47 = 17 \cdot 3 - 4 \)
\(48 = 1^{3} + 47 \)
\(49 = \frac{ 147 }{ 3 }\)
\(50 = 43 \cdot 1 + 7 \)
\(51 = 14 + 37 \)
\(52 = 47 - 1 + 3 !\)
\(53 = 17 \cdot 3 + \sqrt{4 }\)
\(54 = 41 + 3! + 7 \)
\(55 = 17 \cdot 3 + 4 \)
\(56 = ( 7 - 3 ) \cdot 14 \)
\(57 = ( 17 + \sqrt{4} ) \cdot 3 \)
\(58 = \frac{ 174 }{ 3 }\)
\(59 = \frac{ 413 }{ 7 }\)
\(60 = 13 + 47 \)
\(61 = 74 - 13 \)
\(62 = 3 \cdot 7 + 41 \)
\(63 = ( 13 - 4 ) \cdot 7 \)
\(64 = 3^{4} - 17 \)
\(65 = 17 \cdot 4 - 3 \)
\(66 = 71 - 3 - \sqrt{4 }\)
\(67 = 13 \cdot 7 - 4 !\)
\(68 = 73 - 1 - 4 \)
\(69 = 73 \cdot 1 - 4 \)
\(70 = 71 + 3 - 4 \)
\(71 = 17 \cdot 4 + 3 \)
\(72 = 71 - 3 + 4 \)
\(73 = 1^{4} \cdot 73 \)
\(74 = 1^{4} + 73 \)
\(75 = 1^{3} + 74 \)
\(76 = 73 - 1 + 4 \)
\(77 = ( 14 - 3 ) \cdot 7 \)
\(78 = 31 + 47 \)
\(79 = \sqrt{4}^{3} + 71 \)
\(80 = ( 13 + 7 ) \cdot 4 \)
\(81 = 4^{3} + 17 \)
\(82 = \sqrt{7 - 3} \cdot 41 \)
\(83 = 3 \cdot 4 + 71 \)
\(84 = 1 \cdot 3 \cdot 4 \cdot 7 \)
\(85 = ( 3 + \sqrt{4} ) \cdot 17 \)
\(86 = \frac{ 7^{3} + 1 }{ 4 }\)
\(87 = 13 + 74 \)
\(88 = ( 1 \cdot 3 )^{4} + 7 \)
\(89 = 13 \cdot 7 - \sqrt{4 }\)
\(90 = ( 17 - \sqrt{4} ) \cdot 3 !\)
\(91 = 14 \cdot 3! + 7 \)
\(92 = 14 \cdot 7 - 3 !\)
\(93 = ( 7 - 4 ) \cdot 31 \)
\(94 = ( 3 - 1 ) \cdot 47 \)
\(95 = 13 \cdot 7 + 4 \)
\(96 = ( 31 - 7 ) \cdot 4 \)
\(97 = \sqrt{4}^{7} - 31 \)
\(98 = 3^{4} + 17 \)
\(99 = ( 3 + 7 )^{\sqrt{4}} - 1 \)
\(100 = 17 \cdot 3! - \sqrt{4 }\)