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Curzon n.  and  emirpimes

First numbers that belong to both sets:

26, 158, 221, 321, 326, 329, 341, 398, 413, 581, 629, 893, 933, 998, 1041, 1101, 1121, 1154, 1169, 1238, 1346, 1401, 1418, 1454, 1469, 1706, 1766, 1769, 1961, 2066, 2258, 2654, 3065, 3098, 3134, 3189, 3309, 3326, 3401, 3453, 3473, 3513, 3521, 3554, 3653, 3665, 3981, 4109, 4121, 4145, 4181, 4313, 5033, 5165, 5345, 5354, 5366, 5426, 5513, 5585, 5606, 6005, 6245, 6458, 6614, 7274, 7341, 7373, 7421, 7445, 7538, 7593, 7629, 7706, 7814, 7886, 8309, 8345, 8546, 8549, 8561, 8945, 9038, 9134, 9458, 9518, 9569, 9578, 9609, 9701, 9753, 9921, 9989, 10073, 10109, 10358, 10394, 10553, 10661, 10673, 10749, 10805, 10886, 10893, 11006, 11013, 11141, 11306, 11309, 11318, 11453, 11558, 11669, 11678, 11729, 11769, 11906, 12053, 12209, 12458, 12494, 12674, 12686, 12761, 12794, 12833, 13133, 13173, 13193, 13269, 13346, 13361, 13521, 13529, 13589, 13641, 13973, 14054, 14109, 14138, 14273, 14285, 14309, 14429, 14666, 14681, 14765, 14786, 14834, 14909, 14918, 15153, 15338, 15506, 15545, 15693, 15734, 15821, 16013, 16118, 16265, 16466, 16526, 16574, 16601, 16781, 16886, 16913, 17129, 17133, 17141, 17249, 17294, 17369, 17373, 17378, 17421, 17441, 17474, 17513, 17585, 17645, 17801, 17961, 18033, 18134, 18293, 18393, 18449, 18509, 18653, 18689, 18794, 18809, 18953, 19094, 19226, 19349, 19361, 19445, 19829, 20081, 20354, 20381, 20621, 20666, 20798, 20813, 20885, 22061, 22421, 22745, 22793, 22829, 22889, 22934, 24014, 24269, 24305, 24569, 24833, 26126, 26366, 26594, 26753, 26909, 26969, 28049, 28166, 28298, 28373, 28445, 28481, 28553, 28694, 28778, 30146, 30329, 30386, 30461, 30605, 30641, 30746, 30813, 31049, 31109, 31241, 31361, 31529, 31673, 31709, 31829, 31953, 32498, 32501, 32601, 32709, 33146, 33266, 33398, 33593, 33653, 33881, 34049, 34073, 34106, 34109, 34329, 34334, 34409, 34449, 34509, 34598, 34601, 34733, 34745, 34769, 34889, 35078, 35285.

Some larger examples :