Search a number
de Polignac n.  and  strong prime

First numbers that belong to both sets:

127, 149, 251, 331, 599, 701, 757, 809, 877, 907, 1019, 1087, 1549, 1597, 1619, 1657, 1777, 1783, 1867, 1973, 2203, 2293, 2377, 2503, 2579, 2683, 2789, 2879, 2999, 3119, 3163, 3181, 3187, 3299, 3343, 3433, 3539, 3697, 3877, 4001, 4153, 4229, 4271, 4327, 4649, 4813, 5077, 5099, 5323, 5557, 5737, 5923, 6247, 6269, 6449, 6521, 6547, 6637, 6659, 6673, 6791, 6869, 7151, 7177, 7297, 7331, 7393, 7517, 7547, 7603, 7753, 7867, 7901, 8087, 8111, 8287, 8363, 8387, 8429, 8563, 8831, 8861, 8887, 8923, 8929, 9239, 9371, 9391, 9431, 9613, 9787, 9929, 9941, 10007, 10061, 10357, 10391, 10781, 10949, 11069, 11083, 11171, 11239, 11317, 11437, 11549, 11579, 11593, 11801, 12007, 12239, 12251, 12373, 12401, 12791, 12941, 13001, 13093, 13099, 13147, 13217, 13451, 13679, 13799, 13859, 13901, 14009, 14051, 14081, 14143, 14249, 14407, 14533, 14879, 15013, 15101, 15121, 15187, 15217, 15299, 15349, 15359, 15373, 15551, 15641, 15787, 16361, 17021, 17077, 17467, 17489, 17579, 17827, 17909, 17921, 17957, 17977, 18089, 18211, 18307, 18427, 18517, 18787, 18899, 18911, 19139, 19259, 19379, 19709, 19889, 19961, 20113, 20143, 20287, 20323, 20639, 20707, 20717, 21101, 21487, 21599, 21673, 21701, 21751, 21817, 21839, 22147, 22153, 22481, 22567, 22691, 22769, 22859, 22901, 23017, 23321, 23417, 23531, 23623, 23669, 23857, 24019, 24133, 24179, 24223, 24371, 24509, 24733, 24847, 24943, 24967, 24977, 25057, 25229, 25243, 25453, 25561, 25693, 25799, 25841, 26489, 26539, 26591, 26759, 26921, 26947, 27127, 27179, 27253, 27449, 27479, 27611, 27673, 27791, 27893, 27941, 27997, 28109, 28181, 28349, 28571, 28813, 28837, 29101, 29167, 29221, 29297, 29669, 29741, 29759, 29833, 29863, 29983, 30109, 30133, 30307, 30319, 30341, 30427, 30553, 30671, 30689, 30757, 30839, 30851, 31033, 31333, 31469, 31511, 31567, 31627, 31687, 31873, 31957, 32203, 32257, 32467, 32647, 32713, 32983.

Some larger examples :