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aban n.  and  de Polignac n.

First numbers that belong to both sets:

1, 127, 149, 251, 331, 337, 373, 509, 599, 701, 757, 809, 877, 905, 907, 959, 977, 997, 1000061, 1000099, 1000105, 1000127, 1000151, 1000169, 1000211, 1000237, 1000271, 1000273, 1000301, 1000309, 1000325, 1000343, 1000357, 1000379, 1000387, 1000403, 1000451, 1000481, 1000483, 1000513, 1000603, 1000619, 1000661, 1000757, 1000759, 1000769, 1000777, 1000813, 1000817, 1000823, 1000829, 1000843, 1000847, 1000871, 1000873, 1000883, 1000903, 1000919, 1000961, 2000039, 2000051, 2000069, 2000105, 2000141, 2000153, 2000189, 2000195, 2000227, 2000239, 2000287, 2000347, 2000411, 2000473, 2000489, 2000503, 2000531, 2000533, 2000539, 2000563, 2000569, 2000579, 2000587, 2000597, 2000621, 2000651, 2000653, 2000681, 2000683, 2000713, 2000729, 2000737, 2000741, 2000743, 2000779, 2000797, 2000825, 2000851, 2000857, 2000861, 2000897, 2000903, 2000923, 2000933, 2000951, 2000983, 3000011, 3000013, 3000029, 3000041, 3000043, 3000057, 3000101, 3000103, 3000117, 3000155, 3000223, 3000243, 3000251, 3000281, 3000299, 3000337, 3000355, 3000377, 3000397, 3000401, 3000439, 3000493, 3000503, 3000521, 3000535, 3000551, 3000577, 3000581, 3000583, 3000637, 3000677, 3000689, 3000691, 3000695, 3000733, 3000755, 3000817, 3000827, 3000839, 3000841, 3000847, 3000869, 3000881, 3000883, 3000929, 3000941, 3000943, 3000967, 4000031, 4000049, 4000061, 4000063, 4000105, 4000121, 4000147, 4000151, 4000181, 4000187, 4000199, 4000211, 4000259, 4000327, 4000329, 4000343, 4000357, 4000427, 4000439, 4000451, 4000459, 4000469, 4000477, 4000481, 4000487, 4000537, 4000603, 4000627, 4000641, 4000649, 4000691, 4000721, 4000735, 4000747, 4000769, 4000781, 4000795, 4000835, 4000843, 4000853, 4000871, 4000927, 4000931, 4000975, 4000985, 4000993, 5000009, 5000023, 5000053, 5000087, 5000107, 5000153, 5000159, 5000167, 5000197, 5000227, 5000235, 5000249, 5000269, 5000287, 5000291, 5000339, 5000365, 5000381, 5000395, 5000419, 5000437, 5000459, 5000491, 5000497, 5000503, 5000525, 5000563, 5000587, 5000609, 5000641, 5000699, 5000707, 5000711, 5000741, 5000789, 5000831, 5000839, 5000843, 5000881, 5000909, 5000953, 6000017, 6000041, 6000047, 6000059, 6000067, 6000101, 6000149, 6000187, 6000217, 6000269, 6000313, 6000331, 6000337, 6000367, 6000373, 6000403, 6000427, 6000469, 6000479, 6000493, 6000509, 6000547, 6000569, 6000581, 6000639, 6000667, 6000727, 6000793, 6000821, 6000851, 6000877, 6000913, 6000973, 6000997, 7000105, 7000109, 7000139, 7000147, 7000149, 7000163.

Some larger examples :