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aban n.  and  emirpimes

First numbers that belong to both sets:

15, 26, 39, 49, 51, 58, 62, 85, 93, 94, 115, 122, 123, 129, 143, 155, 158, 159, 169, 177, 178, 183, 185, 187, 203, 205, 221, 226, 265, 289, 302, 314, 319, 321, 326, 327, 329, 335, 339, 341, 355, 381, 394, 398, 413, 415, 437, 493, 497, 502, 511, 514, 533, 538, 551, 553, 559, 562, 581, 586, 589, 622, 623, 629, 667, 685, 718, 723, 734, 766, 771, 781, 794, 817, 835, 851, 871, 893, 899, 913, 921, 923, 926, 933, 951, 955, 961, 982, 985, 998, 1000007, 1000009, 1000019, 1000031, 1000057, 1000058, 1000061, 1000067, 1000079, 1000085, 1000091, 1000101, 1000111, 1000114, 1000115, 1000141, 1000145, 1000147, 1000149, 1000157, 1000165, 1000166, 1000243, 1000267, 1000271, 1000279, 1000306, 1000317, 1000321, 1000343, 1000347, 1000361, 1000387, 1000411, 1000435, 1000451, 1000466, 1000473, 1000478, 1000487, 1000529, 1000567, 1000599, 1000613, 1000617, 1000627, 1000642, 1000643, 1000673, 1000682, 1000689, 1000717, 1000729, 1000751, 1000757, 1000765, 1000781, 1000787, 1000789, 1000801, 1000811, 1000817, 1000823, 1000837, 1000855, 1000862, 1000867, 1000877, 1000883, 1000885, 1000886, 1000903, 1000933, 1000963, 1000991, 2000047, 2000057, 2000066, 2000074, 2000117, 2000123, 2000129, 2000165, 2000189, 2000197, 2000198, 2000234, 2000239, 2000263, 2000287, 2000299, 2000318, 2000323, 2000335, 2000363, 2000366, 2000374, 2000411, 2000422, 2000437, 2000465, 2000477, 2000483, 2000501, 2000533, 2000545, 2000549, 2000561, 2000569, 2000599, 2000617, 2000707, 2000741, 2000743, 2000761, 2000777, 2000794, 2000818, 2000839, 2000857, 2000879, 2000881, 2000891, 2000897, 2000917, 2000951, 2000995, 3000013, 3000014, 3000031, 3000043, 3000049, 3000053, 3000059, 3000071, 3000083, 3000086, 3000091, 3000099, 3000122, 3000127, 3000139, 3000142, 3000146, 3000187, 3000191, 3000203, 3000233, 3000259, 3000278, 3000286, 3000302, 3000307, 3000337, 3000349, 3000353, 3000355, 3000362, 3000371, 3000391, 3000421, 3000433, 3000443, 3000449, 3000457, 3000473, 3000511, 3000533, 3000538, 3000545, 3000549, 3000563, 3000581, 3000586, 3000593, 3000619, 3000629, 3000631, 3000633, 3000659, 3000661, 3000682, 3000689, 3000691, 3000694, 3000713, 3000727, 3000739, 3000749, 3000751.

Some larger examples :