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a-pointer prime  and  Hogben n.

First numbers that belong to both sets:

13, 24181, 121453, 200257, 276151, 617011, 1514131, 2101051, 2171203, 2891701, 2946373, 3292411, 3306943, 5403301, 5815333, 7003963, 8228293, 12190573, 15206101, 16020007, 19399621, 40557793, 54649057, 56392591, 59205331, 62544373, 76047121, 76746361, 80021971, 86871721, 102343573, 109694203, 111313051, 113220241, 116521231, 124690723, 143412601, 155912683, 170158981, 171335011, 212416051, 219025201, 258260971, 259161703, 271079761, 273026053, 287794261, 307704223, 308090257, 328570003, 374635381, 380581573, 399340273, 441609211, 522602461, 575544091, 619089043, 692558173, 692716081, 952061881, 1018535311, 1030955773, 1118869051, 1145382493, 1162844101, 1184701981, 1185115051, 1235768563, 1276239901, 1281389413, 1421176903, 1431525061, 1445026183, 1450048321, 1462412323, 1475212873, 1501213771, 1546573603, 1558630921, 1601080183, 1610457031, 1620907861, 1806122503, 1994024371, 2005651441, 2073390691, 2102084953, 2149203241, 2186357323, 2240176231, 2359384903, 2459515243, 2516276407, 2567094223, 2570743507, 2594832661, 2793915307, 2858238907, 2962243903, 2972375881, 3100652173, 3116039863, 3161981593, 3176167807, 3186997663, 3229592071, 3318854491, 3335813293, 3360810757, 3453266461, 3508015213, 3527944213, 3666968581, 3759713173, 3967173211, 4009485721, 4078163461, 4089410653, 4090050163, 4120548673, 4178523523, 4183437721, 4239637657, 4340899111, 4451892007, 4580244007, 4610342101, 4622028211, 5003369491, 5043343273, 5329219003, 5370178243, 5575534231, 5636180551, 5733594121, 6013924951, 6065372281, 6068955313, 6390643423, 6724738021, 6844501093, 6938640103, 6960982057, 7224235021, 7297345201, 7343547331, 7446913321, 7536757411, 7650213691, 7925361601, 8026278511, 8057306407, 8226943507, 8363011051, 8811670771, 8859045007, 9028135273, 9103354333, 9148826851, 9487636621.