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Chen prime  and  palprime

First numbers that belong to both sets:

2, 3, 5, 7, 11, 101, 131, 181, 191, 353, 787, 797, 919, 10301, 10601, 11411, 12721, 12821, 13331, 13931, 14741, 15551, 16061, 16361, 16561, 16661, 17471, 19991, 31013, 35753, 36263, 38783, 71317, 72227, 73037, 73237, 73637, 74047, 74747, 75557, 76367, 76667, 77377, 77477, 78787, 78887, 79397, 79697, 79997, 91019, 93239, 93739, 94049, 94349, 94649, 94949, 96769, 97379, 98389, 1003001, 1043401, 1055501, 1074701, 1082801, 1117111, 1120211, 1129211, 1134311, 1153511, 1180811, 1183811, 1186811, 1190911, 1208021, 1221221, 1245421, 1262621, 1268621, 1273721, 1276721, 1280821, 1281821, 1287821, 1303031, 1317131, 1338331, 1360631, 1362631, 1363631, 1371731, 1374731, 1407041, 1412141, 1437341, 1452541, 1486841, 1489841, 1513151, 1532351, 1535351, 1548451, 1551551, 1557551, 1565651, 1580851, 1598951, 1600061, 1609061, 1611161, 1616161, 1633361, 1658561, 1660661, 1685861, 1688861, 1707071, 1712171, 1730371, 1734371, 1748471, 1761671, 1764671, 1802081, 1805081, 1824281, 1851581, 1865681, 1878781, 1879781, 1883881, 1895981, 1903091, 1917191, 1930391, 1936391, 1952591, 1963691, 1982891, 1988891, 1993991, 3002003, 3073703, 3095903, 3103013, 3160613, 3319133, 3343433, 3411143, 3444443, 3452543, 3591953, 3646463, 3826283, 3829283, 3867683, 3878783, 3924293, 3927293, 7014107, 7036307, 7041407, 7069607, 7082807, 7093907, 7096907, 7118117, 7129217, 7134317, 7136317, 7156517, 7159517, 7177717, 7194917, 7257527, 7267627, 7276727, 7302037, 7310137, 7314137, 7327237, 7347437, 7352537, 7388837, 7392937, 7401047, 7434347, 7461647, 7475747, 7486847, 7489847, 7519157, 7527257, 7540457, 7562657, 7592957, 7594957, 7600067, 7611167, 7630367, 7644467, 7666667, 7693967, 7715177, 7729277, 7742477, 7750577, 7772777, 7778777, 7783877, 7791977, 7794977, 7819187, 7831387, 7850587, 7868687, 7930397, 7933397, 7941497, 7960697, 7977797, 7996997, 9002009, 9037309, 9073709, 9103019, 9127219, 9128219, 9149419, 9169619, 9174719, 9185819, 9196919, 9199919, 9231329, 9286829, 9289829, 9324239, 9329239, 9332339, 9338339, 9351539, 9384839, 9400049, 9414149, 9493949, 9526259, 9556559, 9558559, 9561659, 9586859, 9601069, 9602069, 9610169, 9624269, 9634369, 9709079, 9714179, 9733379, 9752579, 9758579, 9762679, 9770779, 9782879, 9788879, 9818189, 9822289, 9836389, 9837389, 9845489, 9919199, 9927299, 9932399, 9957599, 9965699, 9981899.