Inconsummate Numbers

A number \(n\) is inconsummate if there is no number \(k\) which divided by its sum of digits gives \(n\). An example of a number that is not inconsummate would be 47 because there exists the number 846 such that 846 / (8+4+6) = 47. Notice that in order to confirm this, it was necessary to test numbers far ahead of 47 on the number line. The following SAGE code is designed to identify inconsummate numbers:

INPUT
# Generate a list of inconsummate numbers
# n is an inconsummate if no number k divided by its sum of digits gives n
# The larger the value of limit, the more accurate the list
limit=1000
inconsummate=[]
for number in range(1, limit):
    digits=(str(number))
    sum=0
    for n in range(0,len(digits)):
        sum+=Integer(digits[n])
    if number % sum == 0:
        inconsummate.append(number/sum)
X=Set(inconsummate)
Y=Set(range(1, limit+1))
print(Y.difference(X)) 

OUTPUT
{62, 63, 65, 66, 71, 72, 74, 75, ... }

Unfortunately after 65, the next inconsummate number is 75 and so 66, 71, 72 and 74 should be not included in the output. Notice that the limit was set to 1000. If we increase the limit to 10000, the output goes wrong here { ..., 432, 437, 438, ... } because 437 is not an inconsummate number. By setting the limit to 12000, this particular error is corrected. It would seem that by choosing a particular range (from 1 to the chosen limit), the resultant output is only reliable for about 1/30th of that range.

It's interesting to look at the frequency of inconsummate numbers:

up to \(10^1\) --> 0 --> 0%
up to \(10^2\) --> 6 --> 6%
up to \(10^3\) --> 111 --> 11.1%
up to \(10^4\) --> 1437 --> 14.37%
up to \(10^5\) --> 16430 --> 16.43%
up to \(10^6\) --> 183089 --> 18.3089%
up to \(10^7\) --> 1905285 --> 19.05285% seems to peak here
up to \(10^8\) --> 18907944 --> 18.907944%
up to \(10^9\) --> 183706706 --> 18.3706706%

Figure 1: 3 x 3 magic square 

For the ranges shown, the frequency reaches a peak of 19.05285% and then slowly decreases. The smallest 3 × 3 magic square whose entries are consecutive inconsummate numbers is shown in Figure 1. Source.

The initial inconsummate numbers are listed in OEIS A003635 and the initial members are:

62, 63, 65, 75, 84, 95, 161, 173, 195, 216, 261, 266, 272, 276, 326, 371, 372, 377, 381, 383, 386, 387, 395, 411, 416, 422, 426, 431, 432, 438, 441, 443, 461, 466, 471, 476, 482, 483, 486, 488, 491, 492, 493, 494, 497, 498, 516, 521, 522, 527, 531, 533, 536, ... 

Here is the full list of inconsummate numbers up to 40,000:

62, 63, 65, 75, 84, 95, 161, 173, 195, 216, 261, 266, 272, 276, 326, 371, 372, 377, 381, 383, 386, 387, 395, 411, 416, 422, 426, 431, 432, 438, 441, 443, 461, 466, 471, 476, 482, 483, 486, 488, 491, 492, 493, 494, 497, 498, 516, 521, 522, 527, 531, 533, 536, 542, 543, 546, 549, 552, 553, 563, 564, 573, 575, 612, 615, 620, 623, 630, 635, 639, 645, 650, 675, 716, 723, 750, 761, 771, 776, 785, 795, 816, 821, 822, 827, 831, 834, 839, 840, 845, 861, 866, 872, 876, 882, 926, 927, 932, 933, 936, 938, 941, 942, 945, 950, 966, 971, 972, 983, 986, 993, 1016, 1026, 1037, 1038, 1041, 1043, 1046, 1049, 1052, 1053, 1076, 1082, 1086, 1107, 1161, 1166, 1173, 1175, 1266, 1271, 1272, 1316, 1326, 1371, 1376, 1382, 1416, 1437, 1481, 1482, 1487, 1488, 1491, 1493, 1494, 1496, 1497, 1499, 1521, 1526, 1527, 1532, 1533, 1536, 1538, 1541, 1542, 1553, 1566, 1571, 1572, 1586, 1593, 1596, 1598, 1599, 1601, 1602, 1604, 1605, 1610, 1616, 1626, 1631, 1632, 1641, 1643, 1646, 1649, 1652, 1653, 1656, 1673, 1716, 1730, 1745, 1811, 1826, 1866, 1871, 1872, 1895, 1926, 1931, 1932, 1950, 1971, 1976, 1982, 1983, 1986, 2016, 2037, 2042, 2043, 2046, 2049, 2052, 2076, 2082, 2093, 2126, 2144, 2147, 2148, 2153, 2156, 2160, 2177, 2181, 2207, 2214, 2217, 2261, 2271, 2276, 2316, 2372, 2376, 2382, 2426, 2477, 2481, 2511, 2526, 2537, 2544, 2547, 2555, 2577, 2588, 2591, 2592, 2594, 2597, 2598, 2601, 2603, 2604, 2606, 2609, 2610, 2616, 2631, 2642, 2643, 2646, 2649, 2652, 2660, 2672, 2676, 2682, 2705, 2706, 2709, 2712, 2715, 2720, 2726, 2742, 2753, 2756, 2760, 2811, 2816, 2826, 2877, 2888, 2911, 2921, 2922, 2937, 2961, 2966, 2972, 2976, 2982, 2993, 3026, 3037, 3038, 3041, 3042, 3046, 3053, 3083, 3086, 3093, 3107, 3111, 3116, 3126, 3137, 3144, 3147, 3149, 3152, 3153, 3156, 3177, 3186, 3207, 3218, 3221, 3222, 3237, 3247, 3248, 3251, 3254, 3255, 3257, 3258, 3260, 3263, 3281, 3287, 3288, 3291, 3294, 3296, 3307, 3311, 3314, 3317, 3318, 3321, 3324, 3327, 3329, 3332, 3371, 3372, 3383, 3386, 3416, 3426, 3437, 3444, 3477, 3482, 3483, 3486, 3537, 3548, 3551, 3554, 3555, 3581, 3587, 3588, 3591, 3593, 3621, 3627, 3644, 3647, 3648, 3651, 3654, 3657, 3658, 3659, 3661, 3662, 3665, 3666, 3677, 3681, 3687, 3692, 3696, 3697, 3698, 3699, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3710, 3711, 3712, 3713, 3714, 3716, 3717, 3719, 3720, 3722, 3726, 3731, 3732, 3733, 3738, 3741, 3743, 3744, 3746, 3747, 3749, 3752, 3753, 3755, 3756, 3758, 3759, 3761, 3762, 3764, 3765, 3767, 3768, 3770, 3771, 3773, 3776, 3782, 3783, 3786, 3787, 3788, 3791, 3792, 3793, 3794, 3796, 3797, 3798, 3801, 3803, 3804, 3805, 3806, 3809, 3810, 3812, 3813, 3815, 3816, 3818, 3819, 3821, 3822, 3824, 3825, 3827, 3828, 3830, 3831, 3836, 3838, 3842, 3843, 3846, 3849, 3852, 3854, 3855, 3857, 3860, 3863, 3864, 3866, 3867, 3869, 3870, 3872, 3873, 3875, 3876, 3878, 3879, 3882, 3926, 3927, 3932, 3933, 3936, 3938, 3941, 3942, 3945, 3950, 3966, 3971, 3972, 3983, 3986, 3993, 4016, 4026, 4037, 4038, 4041, 4043, 4046, 4049, 4052, 4053, 4076, 4077, 4082, 4086, 4088, 4091, 4092, 4094, 4097, 4098, 4099, 4101, 4103, 4104, 4106, 4109, 4110, 4116, 4121, 4122, 4127, 4131, 4142, 4143, 4146, 4149, 4151, 4152, 4154, 4155, 4157, 4160, 4164, 4165, 4172, 4176, 4182, 4183, 4187, 4188, 4191, 4193, 4194, 4196, 4197, 4198, 4199, 4202, 4203, 4205, 4206, 4208, 4209, 4212, 4215, 4219, 4220, 4226, 4227, 4232, 4233, 4236, 4238, 4241, 4242, 4246, 4253, 4256, 4260, 4262, 4263, 4264, 4265, 4266, 4268, 4269, 4271, 4272, 4273, 4275, 4283, 4286, 4293, 4298, 4299, 4301, 4302, 4304, 4305, 4308, 4309, 4310, 4313, 4316, 4319, 4320, 4323, 4326, 4338, 4341, 4343, 4346, 4349, 4352, 4353, 4356, 4371, 4373, 4376, 4378, 4379, 4380, 4382, 4407, 4409, 4410, 4412, 4415, 4419, 4430, 4437, 4461, 4466, 4471, 4472, 4476, 4482, 4487, 4488, 4491, 4493, 4494, 4496, 4497, 4499, 4521, 4526, 4527, 4532, 4533, 4536, 4538, 4541, 4542, 4553, 4566, 4571, 4572, 4586, 4593, 4594, 4596, 4597, 4598, 4599, 4601, 4602, 4604, 4605, 4610, 4616, 4626, 4631, 4632, 4641, 4642, 4643, 4646, 4649, 4652, 4653, 4656, 4660, 4671, 4676, 4682, 4704, 4705, 4706, 4709, 4710, 4712, 4715, 4737, 4742, 4743, 4746, 4749, 4752, 4760, 4763, 4782, 4793, 4811, 4814, 4815, 4817, 4818, 4820, 4821, 4823, 4824, 4826, 4827, 4829, 4830, 4832, 4836, 4838, 4841, 4842, 4853, 4854, 4856, 4857, 4859, 4860, 4862, 4863, 4865, 4866, 4868, 4869, 4871, 4872, 4875, 4878, 4880, 4892, 4893, 4896, 4898, 4899, 4901, 4902, 4904, 4905, 4910, 4912, 4919, 4920, 4923, 4926, 4928, 4929, 4930, 4931, 4932, 4934, 4935, 4940, 4946, 4949, 4952, 4953, 4956, 4964, 4965, 4967, 4970, 4973, 4976, 4979, 4980, 4982, 4989, 5016, 5037, 5038, 5042, 5043, 5046, 5049, 5052, 5076, 5082, 5093, 5126, 5144, 5147, 5148, 5153, 5156, 5160, 5177, 5181, 5187, 5192, 5196, 5198, 5199, 5201, 5202, 5204, 5205, 5210, 5220, 5226, 5231, 5232, 5252, 5253, 5256, 5262, 5264, 5265, 5267, 5270, 5282, 5283, 5286, 5297, 5298, 5301, 5303, 5304, 5305, 5306, 5309, 5310, 5312, 5313, 5315, 5316, 5319, 5330, 5336, 5342, 5343, 5346, 5349, 5352, 5360, 5363, 5372, 5373, 5375, 5376, 5378, 5379, 5382, 5393, 5409, 5412, 5415, 5420, 5423, 5426, 5430, 5453, 5456, 5460, 5474, 5477, 5481, 5489, 5490, 5507, 5514, 5517, 5520, 5530, 5537, 5562, 5564, 5565, 5573, 5595, 5612, 5613, 5615, 5619, 5630, 5634, 5639, 5640, 5645, 5673, 5675, 5723, 5730, 5745, 5750, 5777, 5811, 5816, 5826, 5877, 5881, 5888, 5921, 5922, 5927, 5931, 5933, 5936, 5942, 5943, 5945, 5966, 5972, 5976, 5982, 5993, 6026, 6037, 6038, 6041, 6042, 6053, 6086, 6093, 6107, 6113, 6119, 6120, 6123, 6150, 6174, 6185, 6189, 6200, 6221, 6222, 6230, 6284, 6285, 6300, 6326, 6335, 6339, 6345, 6350, 6371, 6372, 6376, 6389, 6390, 6416, 6426, 6437, 6444, 6450, 6477, 6482, 6483, 6486, 6500, 6537, 6548, 6551, 6554, 6555, 6581, 6587, 6588, 6591, 6593, 6621, 6627, 6637, 6644, 6647, 6648, 6651, 6654, 6657, 6659, 6662, 6665, 6675, 6716, 6723, 6750, 6777, 6816, 6881, 6887, 6921, 6926, 6977, 6981, 6987, 6992, 6996, 6997, 6998, 6999, 7011, 7022, 7031, 7032, 7033, 7037, 7038, 7041, 7043, 7046, 7049, 7052, 7053, 7076, 7082, 7086, 7107, 7116, 7126, 7137, 7148, 7149, 7152, 7160, 7181, 7214, 7217, 7223, 7230, 7277, 7284, 7295, 7311, 7322, 7331, 7332, 7377, 7395, 7421, 7422, 7427, 7431, 7442, 7445, 7476, 7482, 7487, 7500, 7521, 7526, 7527, 7532, 7533, 7536, 7538, 7541, 7542, 7553, 7566, 7571, 7572, 7586, 7593, 7596, 7598, 7599, 7601, 7602, 7604, 7605, 7610, 7616, 7626, 7631, 7632, 7641, 7643, 7646, 7649, 7652, 7653, 7656, 7671, 7676, 7682, 7704, 7706, 7709, 7710, 7712, 7715, 7737, 7742, 7752, 7760, 7784, 7785, 7821, 7826, 7827, 7832, 7835, 7839, 7845, 7850, 7866, 7871, 7872, 7895, 7926, 7931, 7932, 7950, 7976, 7982, 8037, 8042, 8076, 8082, 8093, 8126, 8144, 8147, 8148, 8151, 8153, 8154, 8156, 8157, 8159, 8160, 8162, 8165, 8171, 8172, 8187, 8192, 8196, 8198, 8199, 8201, 8202, 8204, 8205, 8210, 8220, 8226, 8231, 8232, 8252, 8253, 8256, 8262, 8264, 8265, 8267, 8270, 8282, 8306, 8309, 8310, 8312, 8315, 8334, 8339, 8340, 8345, 8372, 8376, 8382, 8390, 8400, 8426, 8444, 8445, 8450, 8477, 8481, 8483, 8486, 8493, 8511, 8522, 8526, 8531, 8532, 8538, 8541, 8543, 8546, 8549, 8552, 8553, 8561, 8571, 8576, 8582, 8586, 8594, 8597, 8598, 8601, 8603, 8604, 8606, 8609, 8610, 8616, 8631, 8633, 8636, 8638, 8642, 8643, 8646, 8649, 8652, 8660, 8663, 8672, 8676, 8682, 8693, 8705, 8706, 8708, 8709, 8712, 8715, 8720, 8726, 8741, 8742, 8753, 8756, 8760, 8763, 8774, 8777, 8783, 8786, 8793, 8807, 8811, 8814, 8816, 8819, 8820, 8823, 8826, 8837, 8844, 8847, 8852, 8853, 8856, 8874, 8877, 8885, 8895, 8916, 8927, 8931, 8933, 8936, 8942, 8943, 8945, 8966, 8972, 8976, 8982, 8993, 9026, 9038, 9041, 9042, 9053, 9086, 9093, 9107, 9116, 9126, 9137, 9144, 9147, 9149, 9152, 9153, 9156, 9177, 9186, 9207, 9218, 9221, 9222, 9237, 9248, 9251, 9254, 9255, 9257, 9258, 9260, 9261, 9263, 9264, 9266, 9267, 9269, 9270, 9272, 9273, 9275, 9276, 9282, 9293, 9297, 9299, 9302, 9303, 9305, 9306, 9308, 9309, 9312, 9315, 9320, 9323, 9326, 9330, 9336, 9338, 9341, 9342, 9353, 9356, 9360, 9363, 9371, 9372, 9375, 9378, 9380, 9393, 9407, 9410, 9419, 9420, 9423, 9426, 9437, 9450, 9477, 9482, 9483, 9486, 9500, 9537, 9548, 9551, 9554, 9555, 9581, 9587, 9588, 9591, 9593, 9621, 9627, 9632, 9641, 9642, 9653, 9656, 9660, 9671, 9672, 9704, 9705, 9709, 9710, 9720, 9726, 9737, 9741, 9743, 9746, 9749, 9752, 9753, 9756, 9774, 9777, 9782, 9783, 9786, 9807, 9815, 9816, 9819, 9830, 9837, 9848, 9851, 9852, 9860, 9863, 9881, 9884, 9885, 9887, 9893, 9914, 9917, 9918, 9921, 9924, 9926, 9930, 9947, 9948, 9951, 9954, 9957, 9959, 9962, 9974, 9977, 9981, 9984, 9987, 9992, 9995, 10016, 10026, 10037, 10038, 10041, 10043, 10046, 10049, 10052, 10053, 10076, 10082, 10086, 10107, 10116, 10137, 10148, 10149, 10152, 10160, 10181, 10214, 10217, 10226, 10237, 10251, 10254, 10257, 10259, 10260, 10281, 10287, 10291, 10292, 10296, 10307, 10311, 10314, 10317, 10322, 10325, 10327, 10328, 10329, 10331, 10332, 10337, 10344, 10347, 10355, 10357, 10359, 10362, 10364, 10365, 10366, 10367, 10368, 10370, 10371, 10373, 10376, 10379, 10380, 10382, 10407, 10409, 10410, 10412, 10415, 10419, 10430, 10437, 10446, 10449, 10452, 10460, 10481, 10482, 10490, 10514, 10517, 10520, 10530, 10577, 10581, 10587, 10592, 10593, 10607, 10622, 10637, 10644, 10647, 10655, 10659, 10662, 10664, 10665, 10677, 10692, 10697, 10698, 10699, 10701, 10703, 10707, 10727, 10731, 10737, 10742, 10752, 10760, 10782, 10814, 10815, 10820, 10844, 10847, 10848, 10851, 10853, 10856, 10860, 10863, 10874, 10877, 10881, 10884, 10887, 10893, 10907, 10914, 10917, 10922, 10925, 10926, 10937, 10947, 10955, 10959, 10962, 10974, 10977, 10985, 10992, 10995, 11007, 11025, 11028, 11031, 11034, 11037, 11057, 11064, 11067, 11070, 11084, 11085, 11087, 11108, 11166, 11175, 11195, 11216, 11261, 11271, 11276, 11316, 11372, 11376, 11382, 11426, 11444, 11477, 11481, 11483, 11486, 11487, 11491, 11492, 11493, 11496, 11498, 11499, 11516, 11522, 11526, 11531, 11532, 11538, 11541, 11543, 11546, 11549, 11552, 11553, 11561, 11571, 11576, 11582, 11586, 11594, 11597, 11598, 11601, 11603, 11604, 11606, 11609, 11610, 11616, 11631, 11642, 11643, 11646, 11649, 11652, 11660, 11673, 11675, 11723, 11730, 11745, 11750, 11777, 11811, 11816, 11826, 11871, 11876, 11882, 11895, 11927, 11931, 11942, 11945, 11966, 11972, 11976, 11982, 11993, 12026, 12037, 12038, 12041, 12042, 12053, 12086, 12093, 12107, 12116, 12126, 12137, 12144, 12147, 12149, 12152, 12153, 12156, 12177, 12207, 12261, 12266, 12272, 12276, 12326, 12371, 12372, 12426, 12437, 12477, 12482, 12537, 12548, 12551, 12554, 12555, 12581, 12587, 12588, 12591, 12593, 12594, 12596, 12597, 12599, 12602, 12603, 12605, 12606, 12609, 12626, 12632, 12641, 12642, 12653, 12656, 12660, 12671, 12672, 12704, 12705, 12710, 12720, 12726, 12737, 12752, 12753, 12756, 12816, 12881, 12887, 12921, 12926, 13037, 13076, 13082, 13086, 13107, 13116, 13137, 13148, 13149, 13152, 13160, 13181, 13207, 13214, 13217, 13226, 13237, 13251, 13254, 13257, 13259, 13260, 13281, 13287, 13292, 13307, 13314, 13317, 13325, 13371, 13376, 13382, 13437, 13481, 13482, 13587, 13592, 13611, 13622, 13637, 13644, 13647, 13655, 13657, 13659, 13662, 13664, 13665, 13677, 13692, 13697, 13698, 13701, 13703, 13704, 13706, 13709, 13710, 13712, 13715, 13737, 13742, 13752, 13760, 13782, 13814, 13815, 13820, 13911, 13922, 13926, 13937, 13944, 13961, 13977, 13988, 13991, 13992, 13994, 13997, 13998, 14021, 14022, 14027, 14031, 14033, 14036, 14037, 14048, 14051, 14054, 14055, 14061, 14066, 14072, 14076, 14082, 14093, 14126, 14144, 14147, 14148, 14153, 14156, 14160, 14177, 14181, 14186, 14193, 14207, 14211, 14214, 14217, 14222, 14226, 14237, 14244, 14247, 14255, 14258, 14259, 14274, 14277, 14288, 14291, 14292, 14294, 14307, 14318, 14321, 14322, 14324, 14325, 14327, 14328, 14331, 14337, 14348, 14351, 14354, 14355, 14357, 14364, 14366, 14367, 14369, 14370, 14381, 14384, 14385, 14387, 14391, 14394, 14396, 14397, 14399, 14402, 14403, 14405, 14406, 14414, 14417, 14418, 14421, 14424, 14427, 14429, 14432, 14435, 14439, 14442, 14477, 14481, 14483, 14486, 14493, 14511, 14526, 14537, 14544, 14547, 14555, 14577, 14588, 14591, 14592, 14607, 14621, 14622, 14627, 14637, 14648, 14651, 14654, 14655, 14657, 14664, 14681, 14687, 14696, 14697, 14699, 14702, 14703, 14714, 14717, 14727, 14732, 14733, 14736, 14738, 14744, 14747, 14748, 14751, 14754, 14757, 14759, 14762, 14765, 14766, 14768, 14769, 14771, 14772, 14774, 14775, 14777, 14781, 14787, 14792, 14796, 14798, 14799, 14801, 14802, 14804, 14805, 14807, 14808, 14810, 14811, 14813, 14814, 14816, 14817, 14819, 14820, 14822, 14823, 14825, 14826, 14828, 14829, 14831, 14832, 14838, 14841, 14843, 14846, 14849, 14852, 14853, 14855, 14856, 14857, 14859, 14862, 14864, 14865, 14867, 14868, 14870, 14871, 14873, 14876, 14879, 14880, 14882, 14891, 14892, 14894, 14897, 14898, 14901, 14903, 14904, 14906, 14909, 14910, 14912, 14915, 14919, 14927, 14928, 14930, 14931, 14934, 14939, 14940, 14942, 14946, 14949, 14952, 14960, 14964, 14967, 14970, 14973, 14975, 14976, 14978, 14979, 14982, 14990, 15026, 15037, 15038, 15041, 15042, 15053, 15086, 15093, 15107, 15116, 15126, 15137, 15144, 15147, 15149, 15152, 15153, 15156, 15177, 15187, 15192, 15197, 15198, 15201, 15203, 15204, 15206, 15209, 15210, 15212, 15215, 15227, 15231, 15242, 15252, 15260, 15264, 15267, 15270, 15275, 15282, 15293, 15297, 15299, 15302, 15303, 15305, 15306, 15308, 15309, 15312, 15315, 15320, 15323, 15326, 15330, 15336, 15338, 15341, 15342, 15353, 15356, 15360, 15363, 15371, 15372, 15375, 15378, 15380, 15393, 15407, 15410, 15419, 15420, 15423, 15426, 15437, 15446, 15449, 15452, 15453, 15456, 15474, 15477, 15482, 15489, 15507, 15530, 15537, 15561, 15566, 15572, 15576, 15582, 15593, 15594, 15596, 15597, 15599, 15602, 15603, 15605, 15606, 15609, 15626, 15632, 15641, 15642, 15653, 15656, 15660, 15671, 15672, 15704, 15705, 15710, 15720, 15726, 15737, 15752, 15753, 15756, 15782, 15807, 15815, 15837, 15848, 15851, 15852, 15860, 15863, 15881, 15884, 15885, 15887, 15893, 15914, 15917, 15918, 15921, 15924, 15926, 15927, 15929, 15930, 15932, 15935, 15939, 15942, 15953, 15956, 15960, 15965, 15975, 15978, 15980, 15989, 15990, 16001, 16002, 16004, 16005, 16010, 16020, 16037, 16040, 16050, 16056, 16083, 16089, 16100, 16116, 16137, 16148, 16149, 16152, 16160, 16177, 16181, 16214, 16217, 16226, 16251, 16254, 16257, 16259, 16260, 16281, 16287, 16292, 16310, 16320, 16375, 16383, 16386, 16407, 16409, 16410, 16412, 16415, 16419, 16430, 16437, 16446, 16449, 16452, 16460, 16481, 16482, 16490, 16514, 16517, 16520, 16530, 16537, 16556, 16560, 16584, 16587, 16592, 16611, 16614, 16617, 16625, 16658, 16661, 16673, 16716, 16730, 16745, 16811, 16826, 16877, 16881, 16887, 16922, 16926, 16937, 16961, 16977, 16987, 16988, 16991, 16992, 16994, 16997, 16998, 17021, 17022, 17027, 17031, 17032, 17033, 17036, 17037, 17042, 17043, 17046, 17049, 17052, 17076, 17082, 17093, 17126, 17144, 17147, 17148, 17153, 17156, 17160, 17177, 17181, 17207, 17214, 17217, 17223, 17277, 17285, 17295, 17300, 17321, 17322, 17327, 17366, 17381, 17387, 17426, 17437, 17445, 17450, 17477, 17481, 17526, 17537, 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on 29th August 2021 and again on 19th February 2023