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a-pointer primes
A prime number p such that the next prime number can be obtained adding p to its sum of digits. more

The first 600 a-pointer primes :
11, 13, 101, 103, 181, 293, 631, 701, 811, 1153, 1171, 1409, 1801, 1933, 2017, 2039, 2053, 2143, 2213, 2521, 2633, 3041, 3089, 3221, 3373, 3391, 3469, 3643, 3739, 4057, 4231, 5153, 5281, 5333, 5449, 5623, 5717, 6053, 6121, 6301, 7043, 7333, 8101, 8543, 9241, 10151, 10313, 10463, 10667, 11161, 11321, 11657, 12203, 12241, 12401, 12553, 12601, 13381, 13523, 13633, 13729, 14087, 14177, 14207, 15017, 15107, 15121, 15413, 15473, 17011, 17123, 17761, 18061, 18313, 18461, 18919, 19141, 20129, 20369, 20431, 21023, 21601, 21713, 21803, 22093, 22453, 22501, 22921, 23003, 23117, 23173, 23311, 23719, 24181, 24923, 25423, 25771, 27043, 29311, 29641, 30119, 30203, 30469, 30713, 31019, 31547, 32203, 32401, 33013, 33091, 33301, 33413, 33811, 33941, 35291, 36319, 36353, 36607, 37123, 37253, 37321, 38351, 39521, 39581, 40543, 41117, 41131, 41203, 41243, 41737, 41911, 42307, 43003, 43117, 43207, 43223, 43913, 44071, 44101, 44389, 44657, 45061, 45139, 46703, 46831, 47221, 47317, 48541, 49081, 49957, 50023, 50111, 50207, 50311, 50513, 50599, 50627, 51691, 51871, 52223, 52267, 53381, 53507, 53527, 54001, 54331, 54421, 54601, 54881, 55127, 55291, 56401, 56999, 57529, 58337, 60413, 60703, 61153, 62327, 63113, 63443, 64189, 64303, 66271, 66763, 68611, 70207, 70249, 71039, 71671, 71741, 72139, 72229, 72623, 73433, 73651, 74027, 74531, 75583, 75941, 76261, 76441, 77291, 77813, 79907, 80491, 80963, 81049, 81773, 82051, 82507, 82729, 83117, 83177, 83357, 83663, 84143, 84349, 84761, 85061, 88301, 89021, 89533, 90203, 91163, 91309, 91433, 92153, 92203, 92269, 93503, 99053, 100193, 100333, 100403, 100649, 100801, 100913, 101141, 101183, 101323, 101363, 101383, 101411, 101503, 101723, 101749, 102023, 102061, 102241, 102481, 102913, 103217, 103291, 103529, 104513, 104597, 104623, 105541, 106993, 107123, 107323, 107903, 108023, 108139, 108649, 109721, 109961, 110051, 110237, 110251, 110543, 111467, 111623, 111751, 112103, 112121, 112213, 112459, 112543, 112741, 113041, 113467, 114031, 114143, 114451, 114691, 115201, 115223, 117023, 117223, 117731, 118127, 118471, 119513, 120209, 120223, 121453, 121507, 121967, 122041, 122117, 122719, 123017, 123127, 123169, 123239, 123457, 123503, 123527, 123833, 124067, 124513, 126001, 126047, 126241, 127219, 127343, 127507, 127781, 128221, 128629, 130099, 130183, 131203, 131221, 131591, 132383, 133283, 133403, 133519, 133999, 134417, 135241, 135979, 136013, 136277, 137089, 139313, 140207, 140281, 140533, 140689, 141079, 141107, 141121, 144139, 144791, 145361, 145549, 146449, 147031, 148171, 148207, 149033, 150413, 150503, 151357, 151397, 151609, 151939, 153287, 153379, 154213, 154459, 154523, 155027, 155047, 155171, 155423, 155627, 156019, 156749, 157061, 157081, 157841, 160001, 160603, 160841, 161017, 161071, 161123, 161611, 162229, 162391, 163367, 163697, 164023, 164209, 164627, 165181, 165479, 165673, 166043, 166429, 166571, 167051, 169501, 170101, 170213, 170299, 170927, 171007, 172127, 172721, 173023, 173573, 174121, 174169, 175081, 175573, 175601, 176651, 177511, 177601, 178039, 180007, 180391, 180751, 181039, 181141, 181253, 181639, 184133, 185189, 185491, 185651, 186317, 187141, 188801, 190613, 192013, 192347, 193261, 194543, 196051, 196927, 197713, 198503, 198859, 198901, 199049, 199153, 200033, 200257, 200341, 201287, 201403, 201557, 202343, 202529, 202639, 204301, 204563, 204679, 204947, 205081, 205171, 205201, 205223, 207199, 207241, 207593, 208963, 209861, 210131, 210173, 210193, 210263, 210283, 210407, 210643, 210739, 211051, 211231, 211349, 211543, 211619, 212131, 212353, 212423, 213097, 214021, 214243, 215329, 216023, 216133, 216289, 216919, 218047, 218171, 218191, 218401, 219103, 220411, 221401, 222679, 223339, 225023, 225241, 226013, 227131, 227951, 228383, 229283, 229351, 230063, 230203, 230663, 230779, 231031, 231053, 231923, 232171, 232571, 232643, 233143, 233251, 233297, 234511, 235369, 236407, 237581, 237707, 239297, 240073, 240101, 240743, 240769, 241229, 241517, 241711, 242309, 242419, 242747, 243931, 244507, 244639, 245593, 245683, 246251, 247553, 247913, 247957, 248141, 248543, 250153, 251297, 253613, 254119, 255217, 256661, 256771, 257141, 257921, 259277, 260419, 260651, 260893, 260921, 261043, 261281, 261407, 262909, 262981, 264013, 264697, 264839, 265021, 265313, 269351, 270379, 270421, 271367, 271501, 271703, 272933, 273233, 273569, 274403, 274751, 275741, 276151, 277961, 279451, 280561, 281207, 281807, 282349, 285317, 286831, 287191, 287821, 287939, 288109, 288433, 289067, 291299, 291619, 291701.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 4481260 values, from 11 to 9999993463).

n\r 0  1 
204481260 2 
3023079792173281 3 
40224601602235244 4 
5012909839700591339277880941 5 
6023079790002173281 6 
70828831683288726639708139787500746863 7 
801126480011216970111953601113547 8 
9077707172492008687887026440662120745717 9 
1001290983013392770009700590880941 10 
111423773489935471921421792440133401817468487466108473564423729

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.