All 100 targets have a solution.
\(1 = ( 6 - 5 )^{23 }\)
\(2 = 32 - 5 \cdot 6 \)
\(3 = \sqrt{35 - 26 }\)
\(4 = \sqrt{52 - 36 }\)
\(5 = \sqrt{\sqrt{\sqrt{256}}} + 3 \)
\(6 = \sqrt{35 - 26 }!\)
\(7 = 5 \cdot 6 - 23 \)
\(8 = \sqrt{\sqrt{625}} + 3 \)
\(9 = 35 - 26 \)
\(10 = \sqrt{256} - 3 !\)
\(11 = 36 - 25 \)
\(12 = 23 - 5 - 6 \)
\(13 = \sqrt{256} - 3 \)
\(14 = \sqrt{25} + 3 + 6 \)
\(15 = \sqrt{\sqrt{625}} \cdot 3 \)
\(16 = 52 - 36 \)
\(17 = 53 - 6^{2 }\)
\(18 = 26 - 3 - 5 \)
\(19 = \sqrt{256} + 3 \)
\(20 = ( \sqrt{36} - 2 ) \cdot 5 \)
\(21 = 32 - 5 - 6 \)
\(22 = \sqrt{625} - 3 \)
\(23 = \sqrt{523 + 6 }\)
\(24 = 56 - 32 \)
\(25 = \frac{ 56 }{ 2 } - 3 \)
\(26 = 36 - 2 \cdot 5 \)
\(27 = 53 - 26 \)
\(28 = \sqrt{625} + 3 \)
\(29 = 2^{6} - 35 \)
\(30 = \sqrt{25 \cdot 36 }\)
\(31 = 36 - \sqrt{25 }\)
\(32 = ( 6 - 5 ) \cdot 32 \)
\(33 = 56 - 23 \)
\(34 = 23 + 5 + 6 \)
\(35 = 2^{5} - 3 + 6 \)
\(36 = 6^{\sqrt{25} - 3 }\)
\(37 = 25 + 3! + 6 \)
\(38 = 63 - 25 \)
\(39 = 35 - 2 + 6 \)
\(40 = \frac{ 6! }{ 23 - 5 }\)
\(41 = \sqrt{25} + 36 \)
\(42 = 65 - 23 \)
\(43 = 3 \cdot 6 + 25 \)
\(44 = 56 - 2 \cdot 3 !\)
\(45 = 53 - 2 - 6 \)
\(46 = 52 - \sqrt{36 }\)
\(47 = 2 \cdot 6 + 35 \)
\(48 = \sqrt{256} \cdot 3 \)
\(49 = 52 + 3 - 6 \)
\(50 = \frac{ 25 \cdot 6 }{ 3 }\)
\(51 = 56 - 2 - 3 \)
\(52 = ( 5 - 3 ) \cdot 26 \)
\(53 = 5 \cdot 6 + 23 \)
\(54 = \frac{ 6 }{ 3 } + 52 \)
\(55 = 52 - 3 + 6 \)
\(56 = \frac{ 6 }{ 2 } + 53 \)
\(57 = ( 25 - 6 ) \cdot 3 \)
\(58 = 63 - \sqrt{25 }\)
\(59 = 65 - 2 \cdot 3 \)
\(60 = 62 + 3 - 5 \)
\(61 = 25 + 36 \)
\(62 = 5 \cdot 6 + 32 \)
\(63 = ( 26 - 5 ) \cdot 3 \)
\(64 = \sqrt{\sqrt{256}}^{3 }\)
\(65 = 2 \cdot 6 + 53 \)
\(66 = 63 - 2 + 5 \)
\(67 = 36 \cdot 2 - 5 \)
\(68 = \sqrt{25} + 63 \)
\(69 = 25 \cdot 3 - 6 \)
\(70 = 3 \cdot 6 + 52 \)
\(71 = 6^{2} + 35 \)
\(72 = \sqrt{\sqrt{256}}! \cdot 3 \)
\(73 = 26 \cdot 3 - 5 \)
\(74 = 3^{2} + 65 \)
\(75 = \sqrt{625} \cdot 3 \)
\(76 = 35 \cdot 2 + 6 \)
\(77 = 36 \cdot 2 + 5 \)
\(78 = \frac{ 36 + 5! }{ 2 }\)
\(79 = 23 + 56 \)
\(80 = \frac{ ( 2 + 5 )! }{ 63 }\)
\(81 = 25 \cdot 3 + 6 \)
\(82 = ( 35 + 6 ) \cdot 2 \)
\(83 = 26 \cdot 3 + 5 \)
\(84 = \frac{ 56 }{ 2 } \cdot 3 \)
\(85 = ( 23 - 6 ) \cdot 5 \)
\(86 = 5! - ( 36 - 2 )\)
\(87 = 5! - ( 6^{2} - 3 )\)
\(88 = 23 + 65 \)
\(89 = 6^{2} + 53 \)
\(90 = \frac{ 36 }{ 2 } \cdot 5 \)
\(91 = 5! - 23 - 6 \)
\(92 = 3!^{2} + 56 \)
\(93 = ( 25 + 6 ) \cdot 3 \)
\(94 = ( 53 - 6 ) \cdot 2 \)
\(95 = 2^{5} + 63 \)
\(96 = \sqrt{256} \cdot 3 !\)
\(97 = 32 + 65 \)
\(98 = 6^{3} + 2 - 5 !\)
\(99 = 5^{3} - 26 \)
\(100 = 53 \cdot 2 - 6 \)