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a-pointer prime  and  congruent n.

First numbers that belong to both sets:

13, 101, 103, 181, 293, 631, 701, 1933, 2039, 2053, 2143, 2213, 3221, 3373, 3391, 3469, 4231, 5333, 5449, 5623, 5717, 6053, 6301, 7333, 8101, 8543, 10151, 10463, 12241, 13381, 14087, 14207, 15413, 18061, 18461, 18919, 19141, 20431, 21023, 21601, 22093, 22453, 22501, 23117, 23173, 23311, 23719, 24181, 25423, 29311, 29641, 30119, 30469, 33013, 33301, 33413, 33941, 36319, 36607, 37253, 38351, 39581, 40543, 41117, 41911, 43117, 43207, 43223, 44071, 44101, 44389, 45061, 46703, 46831, 47221, 47317, 48541, 49081, 49957, 50023, 50111, 50207, 50311, 50599, 51871, 52223, 53381, 53527, 54421, 54881, 55127, 56999, 60413, 60703, 62327, 63113, 64189, 64303, 66271, 70207, 71039, 71671, 71741, 72229, 72623, 75583, 75941, 76261, 77813, 81773, 83117, 83357, 83663, 84143, 84349, 84761, 85061, 88301, 89021, 89533, 91309, 92269, 93503, 99053, 100333, 101141, 101183, 101383, 101503, 101749, 102023, 102061, 104597, 104623, 105541, 107903, 108023, 110237, 110543, 111623, 111751, 112103, 112213, 112543, 112741, 114031, 114143, 115223, 117023, 117223, 118127, 118471, 120223, 121453, 121967, 122117, 122719, 123127, 123239, 123503, 123527, 126047, 127343, 127781, 128221, 128629, 130183, 131221, 131591, 132383, 133519, 133999, 136013, 136277, 140207, 140533, 141079, 141121, 144791, 145549, 146449, 147031, 148207, 150413, 150503, 151357, 151397, 153287, 154213, 155047, 155423, 156749, 157061, 161071, 162229, 162391, 163367, 164023, 165181, 165479, 166429, 169501, 170101, 170213, 170927, 171007, 172127, 173023, 173573, 175573, 177511, 178039, 180007, 180391, 180751, 181039, 181141, 181253, 181639, 184133, 185189, 186317, 187141, 190613, 192013, 193261, 194543, 196927, 198503, 198901, 200033, 200341, 201287, 201557, 202343, 202639, 204301, 204679, 205081, 205223, 207199, 209861, 210173, 210263, 210407, 211231, 211349, 211543, 212423, 214021, 216023, 216133, 216289, 216919, 218047, 218191, 218401, 219103, 222679, 225023, 226013, 227951, 228383, 229351, 230063, 230663, 231031, 231053, 233143, 234511, 236407, 237581, 240101, 240743, 241229, 241517, 241711, 242309, 244639, 247957.

Some larger examples :