1345

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