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palprime  and  super-d n.

First numbers that belong to both sets:

131, 181, 919, 10301, 10501, 10601, 13331, 13831, 13931, 17471, 18181, 18481, 33533, 71317, 74747, 79697, 91019, 93239, 96269, 96469, 96769, 97579, 98389, 1003001, 1055501, 1062601, 1065601, 1134311, 1150511, 1177711, 1300031, 1303031, 1311131, 1317131, 1327231, 1328231, 1333331, 1335331, 1338331, 1343431, 1360631, 1362631, 1363631, 1371731, 1374731, 1390931, 1520251, 1579751, 1616161, 1640461, 1685861, 1748471, 1764671, 1802081, 1805081, 1820281, 1823281, 1824281, 1826281, 1829281, 1831381, 1832381, 1842481, 1851581, 1853581, 1856581, 1865681, 1876781, 1878781, 1879781, 1880881, 1881881, 1883881, 1884881, 1895981, 1908091, 1936391, 1941491, 1952591, 1976791, 3091903, 3127213, 3196913, 3211123, 3267623, 3319133, 3321233, 3329233, 3331333, 3337333, 3343433, 3353533, 3362633, 3364633, 3365633, 3368633, 3380833, 3466643, 3479743, 3485843, 3515153, 3618163, 3621263, 3635363, 3717173, 3732373, 3774773, 3784873, 3793973, 3863683, 3878783, 3916193, 3991993, 7114117, 7136317, 7141417, 7215127, 7249427, 7267627, 7600067, 7632367, 7681867, 7715177, 7783877, 7819187, 7820287, 7821287, 7831387, 7832387, 7838387, 7916197, 7987897, 7996997, 9037309, 9103019, 9109019, 9110119, 9127219, 9128219, 9136319, 9149419, 9169619, 9173719, 9174719, 9179719, 9185819, 9196919, 9199919, 9209029, 9280829, 9357539, 9375739, 9477749, 9493949, 9504059, 9526259, 9586859, 9601069, 9602069, 9604069, 9610169, 9620269, 9624269, 9626269, 9632369, 9634369, 9645469, 9650569, 9657569, 9670769, 9686869, 9752579, 9754579, 9776779, 9795979, 9801089, 9822289, 9896989, 9907099.