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Palindromic Numbers to 100,000


Date: 02/05/2000 at 13:56:17
From: Blake Jourdan
Subject: Palindromic numbers

Where can I find all palindromic numbers from 0 to 100,000? Can you 
list them for me?

Thanks, Blake


Date: 02/15/2000 at 21:40:22
From: Doctor Marykim
Subject: Re: Palindromic numbers

Hi Blake,

As you probably already know, a palindromic number is one that is the 
same when read forward or backward. There are a lot of palindromic 
numbers between 0 and 100,000. To find all of them, I had to write a 
small computer program, which took a long time to count all the way up 
to 100000. AHere they are:

   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 
   101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 
   232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 
   363, 373, 383, 393, 404, 414, 424, 434, 444, 454, 464, 474, 484, 
   494, 505, 515, 525, 535, 545, 555, 565, 575, 585, 595, 606, 616, 
   626, 636, 646, 656, 666, 676, 686, 696, 707, 717, 727, 737, 747, 
   757, 767, 777, 787, 797, 808, 818, 828, 838, 848, 858, 868, 878, 
   888, 898, 909, 919, 929, 939, 949, 959, 969, 979, 989, 999, 1001, 
   1111, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, 2002, 2112, 
   2222, 2332, 2442, 2552, 2662, 2772, 2882, 2992, 3003, 3113, 3223, 
   3333, 3443, 3553, 3663, 3773, 3883, 3993, 4004, 4114, 4224, 4334, 
   4444, 4554, 4664, 4774, 4884, 4994, 5005, 5115, 5225, 5335, 5445, 
   5555, 5665, 5775, 5885, 5995, 6006, 6116, 6226, 6336, 6446, 6556, 
   6666, 6776, 6886, 6996, 7007, 7117, 7227, 7337, 7447, 7557, 7667, 
   7777, 7887, 7997, 8008, 8118, 8228, 8338, 8448, 8558, 8668, 8778, 
   8888, 8998, 9009, 9119, 9229, 9339, 9449, 9559, 9669, 9779, 9889, 
   9999, 10001, 10101, 10201, 10301, 10401, 10501, 10601, 10701, 
   10801, 10901, 11011, 11111, 11211, 11311, 11411, 11511, 11611, 
   11711, 11811, 11911, 12021, 12121, 12221, 12321, 12421, 12521, 
   12621, 12721, 12821, 12921, 13031, 13131, 13231, 13331, 13431, 
   13531, 13631, 13731, 13831, 13931, 14041, 14141, 14241, 14341, 
   14441, 14541, 14641, 14741, 14841, 14941, 15051, 15151, 15251, 
   15351, 15451, 15551, 15651, 15751, 15851, 15951, 16061, 16161, 
   16261, 16361, 16461, 16561, 16661, 16761, 16861, 16961, 17071, 
   17171, 17271, 17371, 17471, 17571, 17671, 17771, 17871, 17971, 
   18081, 18181, 18281, 18381, 18481, 18581, 18681, 18781, 18881, 
   18981, 19091, 19191, 19291, 19391, 19491, 19591, 19691, 19791, 
   19891, 19991, 20002, 20102, 20202, 20302, 20402, 20502, 20602, 
   20702, 20802, 20902, 21012, 21112, 21212, 21312, 21412, 21512, 
   21612, 21712, 21812, 21912, 22022, 22122, 22222, 22322, 22422, 
   22522, 22622, 22722, 22822, 22922, 23032, 23132, 23232, 23332, 
   23432, 23532, 23632, 23732, 23832, 23932, 24042, 24142, 24242, 
   24342, 24442, 24542, 24642, 24742, 24842, 24942, 25052, 25152, 
   25252, 25352, 25452, 25552, 25652, 25752, 25852, 25952, 26062, 
   26162, 26262, 26362, 26462, 26562, 26662, 26762, 26862, 26962, 
   27072, 27172, 27272, 27372, 27472, 27572, 27672, 27772, 27872, 
   27972, 28082, 28182, 28282, 28382, 28482, 28582, 28682, 28782, 
   28882, 28982, 29092, 29192, 29292, 29392, 29492, 29592, 29692, 
   29792, 29892, 29992, 30003, 30103, 30203, 30303, 30403, 30503, 
   30603, 30703, 30803, 30903, 31013, 31113, 31213, 31313, 31413, 
   31513, 31613, 31713, 31813, 31913, 32023, 32123, 32223, 32323, 
   32423, 32523, 32623, 32723, 32823, 32923, 33033, 33133, 33233, 
   33333, 33433, 33533, 33633, 33733, 33833, 33933, 34043, 34143, 
   34243, 34343, 34443, 34543, 34643, 34743, 34843, 34943, 35053, 
   35153, 35253, 35353, 35453, 35553, 35653, 35753, 35853, 35953, 
   36063, 36163, 36263, 36363, 36463, 36563, 36663, 36763, 36863, 
   36963, 37073, 37173, 37273, 37373, 37473, 37573, 37673, 37773, 
   37873, 37973, 38083, 38183, 38283, 38383, 38483, 38583, 38683, 
   38783, 38883, 38983, 39093, 39193, 39293, 39393, 39493, 39593, 
   39693, 39793, 39893, 39993, 40004, 40104, 40204, 40304, 40404, 
   40504, 40604, 40704, 40804, 40904, 41014, 41114, 41214, 41314, 
   41414, 41514, 41614, 41714, 41814, 41914, 42024, 42124, 42224, 
   42324, 42424, 42524, 42624, 42724, 42824, 42924, 43034, 43134, 
   43234, 43334, 43434, 43534, 43634, 43734, 43834, 43934, 44044, 
   44144, 44244, 44344, 44444, 44544, 44644, 44744, 44844, 44944, 
   45054, 45154, 45254, 45354, 45454, 45554, 45654, 45754, 45854, 
   45954, 46064, 46164, 46264, 46364, 46464, 46564, 46664, 46764, 
   46864, 46964, 47074, 47174, 47274, 47374, 47474, 47574, 47674, 
   47774, 47874, 47974, 48084, 48184, 48284, 48384, 48484, 48584, 
   48684, 48784, 48884, 48984, 49094, 49194, 49294, 49394, 49494, 
   49594, 49694, 49794, 49894, 49994, 50005, 50105, 50205, 50305, 
   50405, 50505, 50605, 50705, 50805, 50905, 51015, 51115, 51215, 
   51315, 51415, 51515, 51615, 51715, 51815, 51915, 52025, 52125, 
   52225, 52325, 52425, 52525, 52625, 52725, 52825, 52925, 53035, 
   53135, 53235, 53335, 53435, 53535, 53635, 53735, 53835, 53935, 
   54045, 54145, 54245, 54345, 54445, 54545, 54645, 54745, 54845, 
   54945, 55055, 55155, 55255, 55355, 55455, 55555, 55655, 55755, 
   55855, 55955, 56065, 56165, 56265, 56365, 56465, 56565, 56665, 
   56765, 56865, 56965, 57075, 57175, 57275, 57375, 57475, 57575, 
   57675, 57775, 57875, 57975, 58085, 58185, 58285, 58385, 58485, 
   58585, 58685, 58785, 58885, 58985, 59095, 59195, 59295, 59395, 
   59495, 59595, 59695, 59795, 59895, 59995, 60006, 60106, 60206, 
   60306, 60406, 60506, 60606, 60706, 60806, 60906, 61016, 61116, 
   61216, 61316, 61416, 61516, 61616, 61716, 61816, 61916, 62026, 
   62126, 62226, 62326, 62426, 62526, 62626, 62726, 62826, 62926, 
   63036, 63136, 63236, 63336, 63436, 63536, 63636, 63736, 63836, 
   63936, 64046, 64146, 64246, 64346, 64446, 64546, 64646, 64746, 
   64846, 64946, 65056, 65156, 65256, 65356, 65456, 65556, 65656, 
   65756, 65856, 65956, 66066, 66166, 66266, 66366, 66466, 66566, 
   66666, 66766, 66866, 66966, 67076, 67176, 67276, 67376, 67476, 
   67576, 67676, 67776, 67876, 67976, 68086, 68186, 68286, 68386, 
   68486, 68586, 68686, 68786, 68886, 68986, 69096, 69196, 69296, 
   69396, 69496, 69596, 69696, 69796, 69896, 69996, 70007, 70107, 
   70207, 70307, 70407, 70507, 70607, 70707, 70807, 70907, 71017, 
   71117, 71217, 71317, 71417, 71517, 71617, 71717, 71817, 71917, 
   72027, 72127, 72227, 72327, 72427, 72527, 72627, 72727, 72827, 
   72927, 73037, 73137, 73237, 73337, 73437, 73537, 73637, 73737, 
   73837, 73937, 74047, 74147, 74247, 74347, 74447, 74547, 74647, 
   74747, 74847, 74947, 75057, 75157, 75257, 75357, 75457, 75557, 
   75657, 75757, 75857, 75957, 76067, 76167, 76267, 76367, 76467, 
   76567, 76667, 76767, 76867, 76967, 77077, 77177, 77277, 77377, 
   77477, 77577, 77677, 77777, 77877, 77977, 78087, 78187, 78287, 
   78387, 78487, 78587, 78687, 78787, 78887, 78987, 79097, 79197, 
   79297, 79397, 79497, 79597, 79697, 79797, 79897, 79997, 80008, 
   80108, 80208, 80308, 80408, 80508, 80608, 80708, 80808, 80908, 
   81018, 81118, 81218, 81318, 81418, 81518, 81618, 81718, 81818, 
   81918, 82028, 82128, 82228, 82328, 82428, 82528, 82628, 82728, 
   82828, 82928, 83038, 83138, 83238, 83338, 83438, 83538, 83638, 
   83738, 83838, 83938, 84048, 84148, 84248, 84348, 84448, 84548, 
   84648, 84748, 84848, 84948, 85058, 85158, 85258, 85358, 85458, 
   85558, 85658, 85758, 85858, 85958, 86068, 86168, 86268, 86368, 
   86468, 86568, 86668, 86768, 86868, 86968, 87078, 87178, 87278, 
   87378, 87478, 87578, 87678, 87778, 87878, 87978, 88088, 88188, 
   88288, 88388, 88488, 88588, 88688, 88788, 88888, 88988, 89098, 
   89198, 89298, 89398, 89498, 89598, 89698, 89798, 89898, 89998, 
   90009, 90109, 90209, 90309, 90409, 90509, 90609, 90709, 90809, 
   90909, 91019, 91119, 91219, 91319, 91419, 91519, 91619, 91719, 
   91819, 91919, 92029, 92129, 92229, 92329, 92429, 92529, 92629, 
   92729, 92829, 92929, 93039, 93139, 93239, 93339, 93439, 93539, 
   93639, 93739, 93839, 93939, 94049, 94149, 94249, 94349, 94449, 
   94549, 94649, 94749, 94849, 94949, 95059, 95159, 95259, 95359, 
   95459, 95559, 95659, 95759, 95859, 95959, 96069, 96169, 96269, 
   96369, 96469, 96569, 96669, 96769, 96869, 96969, 97079, 97179, 
   97279, 97379, 97479, 97579, 97679, 97779, 97879, 97979, 98089, 
   98189, 98289, 98389, 98489, 98589, 98689, 98789, 98889, 98989, 
   99099, 99199, 99299, 99399, 99499, 99599, 99699, 99799, 99899, 
   99999

If you find any mistakes or missing ones be sure to let me know, and 
if you need any more help, just write back.

- Doctor Marykim, The Math Forum
  http://mathforum.org/dr.math/   
    
Associated Topics:
Elementary Number Sense/About Numbers
Middle School Number Sense/About Numbers

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