nBAB::Collection::Moran Numbers

OEIS.org::A001101 (Moran numbers)

```	n is a Moran number if n divided-by the sum
of its digits is a prime number
```

There are 1915 Moran numbers that are less than 100,000. 49 of those 1915 Moran numbers had nBABs when this collection was created on 30 March 2016.

```18, 21, 27, 42, 45, 63, 84,
111, 114, 117, 133, 152, 153, 156,
171, 190, 195, 198, 201, 207, 209,
222, 228, 247, 261, 266, 285, 333,
370, 372, 399, 402, 407, 423, 444,
465, 481, 511, 516, 518, 531, 555,
558, 592, 603, 629, 645, 666, 711,
730, 732, 738, 774, 777, 801, 803,
804, 846, 888, 915, 954, 999, 1011,
1016, 1017, 1090, 1095, 1098, 1101, 1141,
1143, 1164, 1168, 1185, 1233, 1236, 1251,
1270, 1278, 1304, 1308, 1341, 1387, 1413,
1417, 1455, 1494, 1503, 1524, 1526, 1545,
1611, 1630, 1635, 1651, 1659, 1679, 1744,
1746, 1810, 1812, 1818, 1853, 1854, 1896,
1898, 1905, 1926, 1962, 2007, 2022, 2043,
2061, 2085, 2119, 2151, 2159, 2172, 2202,
2265, 2282, 2286, 2289, 2313, 2316, 2353,
2355, 2358, 2398, 2421, 2445, 2466, 2532,
2534, 2608, 2667, 2682, 2710, 2715, 2718,
2771, 2794, 2826, 2889, 2919, 2934, 3031,
3032, 3033, 3070, 3077, 3097, 3123, 3141,
3165, 3184, 3231, 3252, 3258, 3297, 3303,
3324, 3345, 3383, 3411, 3435, 3438, 3439,
3474, 3501, 3523, 3546, 3582, 3586, 3615,
3699, 3749, 3768, 3781, 3980, 3982, 4041,
4044, 4065, 4086, 4113, 4155, 4179, 4194,
4203, 4245, 4311, 4330, 4336, 4338, 4378,
4404, 4518, 4577, 4605, 4607, 4626, 4683,
4734, 4776, 4809, 4842, 4887, 4912, 4975,
5013, 5052, 5055, 5058, 5094, 5121, 5149,
5161, 5219, 5230, 5235, 5274, 5306, 5410,
5496, 5505, 5526, 5634, 5691, 5697, 5706,
5784, 5817, 5833, 5943, 5962, 6062, 6064,
6066, 6130, 6135, 6246, 6282, 6310, 6315,
6331, 6352, 6354, 6443, 6447, 6462, 6573,
6606, 6648, 6714, 6754, 6775, 6777, 6792,
6822, 6939, 6951, 7033, 7077, 7146, 7212,
7218, 7305, 7322, 7329, 7361, 7362, 7368,
7479, 7501, 7542, 7543, 7580, 7587, 7588,
7675, 7707, 7833, 7859, 7902, 7940, 7944,
7982, 8082, 8088, 8110, 8115, 8203, 8205,
8226, 8227, 8289, 8334, 8337, 8338, 8376,
8397, 8406, 8559, 8596, 8622, 8660, 8717,
8734, 8808, 8841, 8937, 8952, 9012, 9015,
9054, 9093, 9096, 9099, 9105, 9162, 9219,
9232, 9253, 9369, 9414, 9475, 9526, 9528,
9693, 9723, 9740, 9816, 9854, 9909, 9925,
10012, 10014, 10053, 10090, 10095, 10096, 10107,
10109, 10161, 10213, 10232, 10236, 10278, 10279,
10307, 10308, 10346, 10365, 10386, 10479, 10524,
10543, 10566, 10630, 10635, 10674, 10727, 10782,
10818, 10901, 10905, 10926, 10963, 10968, 10983,
11007, 11028, 11061, 11085, 11133, 11170, 11202,
11241, 11244, 11265, 11331, 11354, 11355, 11358,
11487, 11511, 11530, 11535, 11538, 11574, 11601,
11604, 11606, 11646, 11647, 11688, 11710, 11754,
11805, 11824, 11862, 11976, 11991, 12102, 12108,
12165, 12181, 12186, 12252, 12294, 12303, 12345,
12362, 12435, 12438, 12563, 12612, 12618, 12694,
12747, 12762, 12873, 12942, 12984, 13023, 13044,
13086, 13111, 13116, 13117, 13118, 13131, 13155,
13194, 13245, 13264, 13374, 13401, 13404, 13486,
13518, 13598, 13605, 13626, 13842, 13848, 13881,
13882, 13914, 14031, 14052, 14055, 14093, 14099,
14103, 14126, 14128, 14166, 14211, 14230, 14346,
14383, 14412, 14505, 14521, 14562, 14568, 14704,
14769, 14780, 14814, 14856, 14922, 15001, 15003,
15021, 15135, 15223, 15267, 15310, 15315, 15354,
15393, 15409, 15426, 15462, 15519, 15534, 15579,
15623, 15689, 15751, 15771, 15775, 15849, 15864,
15938, 16035, 16101, 16142, 16144, 16149, 16210,
16258, 16305, 16326, 16389, 16527, 16542, 16580,
16584, 16654, 16659, 16722, 17001, 17008, 17046,
17153, 17154, 17283, 17406, 17409, 17448, 17461,
17469, 17592, 17660, 17668, 17736, 17777, 17793,
17803, 17842, 17847, 17887, 17913, 18010, 18015,
18039, 18071, 18162, 18168, 18234, 18238, 18279,
18299, 18342, 18380, 18417, 18456, 18475, 18543,
18653, 18657, 18702, 18740, 18925, 18927, 19047,
19067, 19134, 19171, 19242, 19426, 19464, 19601,
19629, 19682, 19752, 19791, 19820, 19953, 20024,
20028, 20133, 20137, 20151, 20170, 20197, 20312,
20316, 20371, 20403, 20421, 20426, 20464, 20530,
20603, 20715, 20718, 20752, 20754, 20934, 20937,
21036, 21051, 21073, 21078, 21102, 21108, 21123,
21189, 21213, 21258, 21324, 21345, 21366, 21430,
21434, 21435, 21474, 21501, 21541, 21610, 21612,
21618, 21693, 21705, 21743, 21768, 21819, 21834,
21897, 21906, 21907, 22009, 22023, 22049, 22065,
22131, 22158, 22198, 22203, 22245, 22249, 22266,
22332, 22335, 22404, 22449, 22482, 22488, 22510,
22662, 22711, 22793, 22827, 22953, 22958, 22975,
23013, 23094, 23145, 23211, 23235, 23238, 23344,
23346, 23386, 23410, 23412, 23413, 23418, 23454,
23457, 23505, 23526, 23583, 23679, 23702, 23709,
23742, 23784, 23787, 23894, 23928, 23949, 24132,
24135, 24191, 24201, 24204, 24315, 24405, 24449,
24489, 24574, 24591, 24597, 24606, 24643, 24714,
24775, 24792, 24803, 24936, 25030, 25035, 25072,
25101, 25182, 25210, 25214, 25299, 25362, 25366,
25473, 25569, 25580, 25614, 25656, 25691, 25699,
25722, 25762, 25766, 25851, 25902, 25940, 26027,
26046, 26088, 26115, 26118, 26154, 26205, 26221,
26222, 26229, 26262, 26333, 26379, 26512, 26519,
26575, 26757, 26802, 26808, 26919, 26933, 26952,
27012, 27015, 27037, 27096, 27237, 27363, 27414,
27567, 27638, 27672, 27721, 27741, 27748, 27837,
27891, 27925, 28005, 28062, 28138, 28206, 28377,
28422, 28460, 28489, 28534, 28647, 28739, 28824,
28825, 28863, 29034, 29142, 29180, 29275, 29349,
29417, 29431, 29457, 29544, 29619, 29764, 29781,
29831, 29943, 29984, 30036, 30123, 30165, 30231,
30252, 30254, 30255, 30387, 30433, 30435, 30474,
30501, 30506, 30546, 30582, 30610, 30612, 30617,
30639, 30696, 30701, 30762, 30891, 30901, 30980,
30984, 31002, 31041, 31112, 31113, 31116, 31194,
31203, 31221, 31245, 31269, 31335, 31338, 31404,
31446, 31483, 31514, 31554, 31662, 31841, 31848,
31887, 31975, 32013, 32018, 32031, 32052, 32055,
32071, 32094, 32098, 32124, 32145, 32166, 32167,
32272, 32415, 32418, 32529, 32729, 32788, 32814,
32859, 32907, 33007, 33045, 33130, 33159, 33193,
33204, 33241, 33246, 33310, 33315, 33399, 33424,
33537, 33557, 33576, 33606, 33682, 33714, 33822,
33860, 33959, 33993, 34011, 34035, 34078, 34167,
34212, 34215, 34218, 34219, 34296, 34305, 34326,
34411, 34434, 34474, 34479, 34728, 34857, 34872,
34901, 34923, 34940, 35001, 35004, 35042, 35049,
35082, 35110, 35115, 35118, 35205, 35289, 35513,
35514, 35553, 35575, 35592, 35622, 35627, 35660,
35662, 35667, 35736, 35829, 36012, 36016, 36054,
36183, 36302, 36304, 36306, 36431, 36454, 36475,
36522, 36561, 36702, 36744, 36747, 36813, 36896,
36909, 37005, 37043, 37134, 37176, 37242, 37246,
37283, 37287, 37317, 37443, 37460, 37602, 37608,
37773, 37821, 37934, 37978, 38032, 38034, 38275,
38322, 38323, 38328, 38434, 38451, 38529, 38583,
38616, 38691, 38725, 38853, 38904, 39007, 39048,
39069, 39081, 39175, 39177, 39207, 39222, 39226,
39333, 39393, 39622, 39649, 39717, 39806, 39844,
39912, 40007, 40023, 40027, 40048, 40065, 40113,
40116, 40155, 40201, 40245, 40266, 40332, 40335,
40336, 40374, 40403, 40409, 40510, 40518, 40593,
40601, 40605, 40624, 40717, 40776, 40797, 40806,
40842, 40912, 40914, 40971, 41058, 41059, 41103,
41166, 41235, 41274, 41342, 41346, 41431, 41505,
41562, 41727, 41780, 41784, 41853, 41928, 42045,
42111, 42132, 42138, 42204, 42246, 42310, 42318,
42352, 42357, 42426, 42551, 42609, 42648, 42792,
42860, 42868, 42936, 42999, 43074, 43079, 43101,
43106, 43163, 43182, 43303, 43305, 43389, 43453,
43504, 43506, 43580, 43614, 43675, 43743, 43767,
43876, 43929, 43944, 44001, 44046, 44081, 44199,
44262, 44373, 44374, 44399, 44406, 44514, 44575,
44664, 44739, 44751, 44808, 44952, 45015, 45054,
45096, 45163, 45166, 45380, 45381, 45388, 45611,
45702, 45740, 45819, 45873, 46005, 46026, 46111,
46223, 46263, 46358, 46391, 46392, 46396, 46422,
46467, 46641, 46688, 46791, 46820, 46824, 46825,
46826, 46959, 47019, 47106, 47146, 47169, 47219,
47271, 47493, 47540, 47542, 47832, 47901, 47949,
47989, 48027, 48047, 48153, 48241, 48249, 48264,
48402, 48408, 48531, 48577, 48627, 48916, 48939,
48992, 48996, 49097, 49122, 49161, 49272, 49340,
49437, 49522, 49568, 49703, 49890, 49924, 50013,
50121, 50124, 50145, 50162, 50169, 50230, 50238,
50293, 50346, 50412, 50415, 50418, 50454, 50501,
50507, 50679, 50704, 50742, 50780, 51021, 51066,
51130, 51132, 51174, 51177, 51201, 51288, 51318,
51422, 51426, 51489, 51661, 51773, 51807, 51822,
51860, 51864, 51933, 51974, 52011, 52035, 52037,
52144, 52146, 52187, 52254, 52294, 52296, 52343,
52362, 52506, 52563, 52677, 52872, 52902, 52940,
52941, 53008, 53029, 53115, 53154, 53205, 53226,
53319, 53334, 53378, 53442, 53571, 53575, 53649,
53660, 53736, 53843, 53919, 53973, 54018, 54105,
54274, 54297, 54301, 54342, 54380, 54414, 54453,
54456, 54459, 54475, 54671, 54729, 54744, 54783,
54879, 55003, 55066, 55202, 55206, 55312, 55403,
55422, 55423, 55462, 55464, 55602, 55718, 55820,
55863, 55869, 55972, 56091, 56107, 56142, 56184,
56186, 56187, 56217, 56254, 56275, 56321, 56328,
56343, 56349, 56476, 56654, 56673, 56725, 56741,
56859, 56904, 56988, 57006, 57042, 57046, 57048,
57175, 57192, 57336, 57351, 57483, 57484, 57537,
57807, 57849, 57861, 57971, 57979, 57990, 57995,
58107, 58122, 58234, 58340, 58347, 58492, 58493,
58501, 58525, 58526, 58611, 58811, 58833, 58839,
59026, 59060, 59208, 59352, 59398, 59420, 59425,
59462, 59481, 59537, 59751, 59790, 59868, 59936,
59970, 59977, 60045, 60111, 60132, 60174, 60201,
60246, 60315, 60399, 60405, 60462, 60553, 60627,
60714, 60777, 60866, 60881, 60911, 60936, 61011,
61038, 61210, 61212, 61257, 61326, 61368, 61434,
61580, 61587, 61675, 61709, 61749, 61921, 61969,
62004, 62082, 62110, 62224, 62226, 62334, 62391,
62397, 62406, 62441, 62442, 62512, 62537, 62575,
62669, 62808, 62991, 63010, 63015, 63053, 63306,
63369, 63380, 63475, 63477, 63522, 63528, 63639,
63702, 63740, 63789, 63816, 63925, 63968, 64026,
64029, 64062, 64174, 64179, 64193, 64248, 64281,
64287, 64392, 64407, 64536, 64759, 64773, 64825,
65034, 65078, 65097, 65106, 65180, 65214, 65256,
65259, 65279, 65362, 65501, 65541, 65544, 65546,
65548, 65696, 65769, 65907, 65967, 66001, 66069,
66113, 66114, 66175, 66260, 66393, 66408, 66423,
66482, 66556, 66609, 66620, 66771, 66801, 66848,
66957, 66991, 66996, 67031, 67051, 67075, 67091,
67128, 67272, 67302, 67342, 67418, 67549, 67581,
67749, 67899, 67966, 68022, 68067, 68313, 68333,
68337, 68424, 68553, 68576, 68578, 68661, 68739,
68790, 68822, 68823, 68868, 68933, 68937, 69039,
69076, 69103, 69140, 69321, 69588, 69633, 69728,
69729, 69781, 69965, 70101, 70103, 70129, 70212,
70322, 70326, 70471, 70506, 70542, 70580, 70581,
70588, 70614, 70659, 70694, 70703, 70722, 70767,
70813, 70817, 70833, 70872, 70897, 70940, 71009,
71046, 71152, 71406, 71469, 71596, 71660, 71739,
71793, 71802, 72015, 72018, 72054, 72093, 72126,
72234, 72279, 72304, 72342, 72456, 72549, 72566,
72587, 72699, 72723, 72740, 72873, 72925, 73026,
73089, 73176, 73197, 73207, 73282, 73314, 73422,
73460, 73464, 73608, 73683, 73687, 73731, 73737,
73820, 73825, 73887, 74109, 74180, 74233, 74275,
74322, 74361, 74502, 74540, 74616, 74709, 74877,
74904, 74988, 75197, 75243, 75357, 75519, 75627,
75669, 75681, 75842, 75912, 75996, 76054, 76056,
76122, 76211, 76251, 76344, 76477, 76491, 76503,
76525, 76613, 76761, 76763, 77060, 77133, 77139,
77202, 77208, 77242, 77246, 77247, 77511, 77593,
77733, 77758, 77790, 77796, 77807, 78034, 78072,
78102, 78140, 78148, 78216, 78219, 78381, 78504,
78543, 78639, 78709, 78785, 78837, 78851, 78944,
79021, 79029, 79224, 79225, 79267, 79353, 79511,
79512, 79594, 79668, 79731, 79770, 79956, 79957,
80046, 80110, 80118, 80205, 80226, 80283, 80334,
80402, 80664, 80753, 80806, 80913, 80939, 80952,
80973, 81010, 81105, 81126, 81167, 81211, 81232,
81234, 81297, 81306, 81342, 81384, 81413, 81414,
81417, 81475, 81581, 81676, 82047, 82206, 82392,
82394, 82409, 82441, 82551, 82599, 82647, 82684,
82803, 82809, 82825, 82862, 82976, 83180, 83188,
83256, 83275, 83307, 83502, 83540, 83651, 83787,
83878, 83943, 83988, 84063, 84114, 84222, 84264,
84267, 84289, 84408, 84441, 84593, 84620, 84734,
84990, 85014, 85071, 85122, 85128, 85307, 85416,
85509, 85563, 85569, 85637, 85704, 85708, 85721,
85788, 85856, 86003, 86049, 86138, 86157, 86159,
86202, 86331, 86425, 86481, 86606, 86643, 86712,
86796, 86938, 87140, 87144, 87183, 87213, 87432,
87747, 87789, 87831, 87876, 87949, 88002, 88152,
88221, 88225, 88317, 88539, 88590, 88732, 88737,
88865, 88958, 88959, 89016, 89073, 89103, 89122,
89127, 89236, 89291, 89451, 89495, 89529, 89613,
89721, 89727, 90010, 90054, 90101, 90105, 90162,
90237, 90369, 90380, 90414, 90456, 90693, 90702,
90747, 90925, 91005, 91024, 91062, 91119, 91286,
91557, 91623, 91752, 91754, 91820, 91825, 92034,
92123, 92142, 92275, 92328, 92472, 92499, 92691,
92725, 92764, 93006, 93048, 93082, 93158, 93173,
93175, 93222, 93260, 93261, 93268, 93336, 93339,
93402, 93447, 93489, 93609, 93663, 94056, 94143,
94257, 94344, 94411, 94473, 94496, 94562, 94632,
94788, 94890, 94891, 94894, 95022, 95208, 95229,
95283, 95391, 95449, 95553, 95607, 95798, 95868,
96039, 96071, 96072, 96077, 96093, 96101, 96121,
96325, 96411, 96417, 96434, 96504, 96588, 96741,
96870, 96902, 96948, 97041, 97220, 97224, 97225,
97313, 97449, 97551, 97590, 97596, 97668, 97685,
97770, 97821, 97884, 97939, 97952, 98037, 98232,
98239, 98308, 98361, 98528, 98676, 98812, 98964,
99020, 99117, 99171, 99178, 99316, 99390, 99489,
99570, 99627, 99930, 99972,
```

This C++ program was written to generate the Moran Number collection and to test if a number is a Moran Number.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 30 March 2016
``` + added 247 on 30 March 2016 + added 261 on 07 April 2016 + added 266 on 07 April 2016 + added 285 on 07 April 2016 + added 1898 on 06 June 2016 + added 65256 on 22 June 2016 + added 19691 on 06 July 2016 + added 481 on 21 September 2016 + added 372 on 02 January 2017 + added 5962 on 19 April 2017 + added 423 on 07 May 2017 + added 73737 on 18 May 2017 + added 75357 on 08 June 2017 + added 465 on 03 March 2018 + added 511 on 20 June 2018 + added 516 on 23 June 2018 + added 518 on 24 June 2018 + added 531 on 14 August 2018 ```