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Curzon n.  and  de Polignac n.

First numbers that belong to both sets:

1, 509, 809, 905, 1541, 1649, 1829, 1973, 2465, 2993, 3149, 3665, 3845, 6021, 6161, 6173, 6269, 6449, 6521, 6941, 7389, 7841, 7901, 7961, 8789, 8873, 9473, 9569, 9581, 10061, 10253, 10553, 10781, 11141, 11285, 11549, 11729, 11801, 11909, 12881, 13001, 13169, 13589, 13901, 13973, 14009, 14081, 14141, 14249, 14489, 14681, 14765, 15101, 15161, 15401, 16013, 16025, 16181, 16601, 17369, 17669, 18033, 18845, 19361, 19709, 19889, 20141, 20381, 20693, 21701, 21893, 22481, 23321, 23669, 23969, 24281, 24509, 24569, 24665, 24833, 25229, 25829, 25841, 26429, 27029, 27161, 27629, 27893, 28865, 28893, 29381, 29609, 29873, 30069, 30221, 30449, 30689, 31229, 31469, 31565, 31709, 31901, 32009, 32225, 33341, 33809, 33989, 34241, 34889, 35009, 35189, 37349, 37769, 37841, 38189, 38501, 38861, 38873, 39029, 39269, 39393, 39521, 39641, 39789, 40401, 40541, 40649, 40781, 40985, 41309, 43145, 43289, 43541, 43553, 43901, 44129, 44729, 45101, 45581, 45749, 46001, 46041, 46121, 46181, 46193, 46229, 46661, 46709, 46985, 48965, 49469, 50261, 50661, 50741, 50801, 50969, 51269, 52173, 52733, 52781, 52949, 53009, 53309, 53549, 53561, 53801, 54353, 54569, 54809, 55169, 55409, 55661, 55805, 56429, 56681, 57581, 57929, 57941, 58685, 58865, 58889, 59021, 59549, 60005, 60449, 60689, 60785, 61109, 61221, 61529, 61541, 61601, 61709, 62213, 62369, 62453, 62609, 62813, 62981, 63221, 63821, 63989, 64073, 64373, 64901, 65129, 67181, 67349, 68261, 68669, 68681, 68861, 69029, 69161, 69281, 69293, 69869, 70169, 71621, 72129, 72161, 72389, 72449, 72521, 73049, 73649, 74045, 74069, 74789, 75161, 75489, 75749, 76073, 77261, 77309, 77501, 77849, 78005, 78269, 78329, 79121, 79221, 79769, 79853, 80045, 80201, 80369, 80441, 80669, 81281, 81929, 82601, 83021, 83129, 83309, 84041, 84401, 84533, 84629, 85001, 85061, 85181, 85353, 85421, 85829, 85961, 86441, 89741, 89969, 90749, 90869, 90881, 91121, 92549, 92681, 93053, 93473, 93689, 93773, 94229.

Some larger examples :