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de Polignac n.  and  junction n.

First numbers that belong to both sets:

509, 1207, 1211, 1619, 3215, 3817, 4311, 4717, 5617, 6021, 6119, 6521, 7417, 8023, 8031, 8111, 8527, 8719, 8921, 8923, 8929, 10001, 10007, 10027, 10409, 10607, 10619, 11015, 11023, 11105, 11317, 11921, 12007, 14009, 14611, 15113, 15119, 15121, 15521, 15719, 16013, 16213, 16629, 17021, 17113, 17327, 17519, 17921, 18211, 18427, 18817, 19117, 19319, 20113, 20309, 20321, 20519, 20717, 21817, 22521, 22919, 23017, 23417, 23623, 24019, 24323, 24523, 24719, 24929, 25627, 25829, 26723, 26917, 26921, 26933, 27419, 27629, 28523, 29219, 29221, 29617, 29623, 29833, 30025, 30221, 30409, 30415, 30613, 30823, 31025, 31117, 31119, 31511, 32009, 32621, 33917, 34009, 34019, 34421, 34829, 35519, 35715, 35729, 35917, 35923, 37033, 37123, 37931, 38417, 38429, 39029, 39521, 39925, 39929, 40027, 40105, 40307, 40323, 40923, 40927, 41017, 41423, 41425, 41819, 42113, 43417, 43619, 44111, 44729, 44923, 44927, 45217, 45423, 45623, 46033, 46121, 46127, 47219, 47429, 47833, 48023, 48115, 48119, 48533, 48731, 49829, 49837, 50207, 50219, 50411, 50617, 51027, 51119, 51313, 51713, 52019, 52415, 52627, 53113, 53321, 54011, 54217, 54223, 54629, 54821, 54827, 54829, 55031, 55123, 55319, 55525, 55529, 56021, 56219, 56429, 56819, 56833, 57119, 57929, 58627, 58837, 59935, 60113, 60311, 61211, 61221, 61415, 62323, 62519, 62921, 63221, 63223, 63419, 63629, 63821, 64031, 64115, 64325, 65023, 65223, 65419, 65629, 65823, 66929, 67015, 67421, 68037, 68125, 68317, 68321, 68323, 68329, 68519, 68735, 69029, 69427, 69839, 70031, 70823, 71317, 72013, 72823, 73031, 73033, 73721, 73919, 74017, 75319, 75521, 75937, 76025, 76027, 76627, 76631, 77029, 77923, 77939, 78217, 79027, 79121, 79123, 79131, 79523, 79727, 79739, 79927, 80021, 80525, 80923, 81013, 81223, 81823, 82111, 82117, 82319, 82931, 83021, 84023, 84037, 84127, 84533, 84731, 85417, 85421, 85423, 85829, 86521, 86923, 88123, 88327, 88537, 88933, 89437, 89833, 90617, 91033, 91121, 91127, 91519, 91919.

Some larger examples :