Search a number
self n.  and  twin primes

First numbers that belong to both sets:

3, 5, 7, 31, 569, 659, 883, 1021, 1289, 1873, 2549, 2593, 2729, 3359, 3539, 3583, 3673, 3853, 3919, 4259, 4483, 4933, 5519, 5653, 5743, 6553, 7879, 8219, 8599, 9343, 9433, 9679, 9769, 9859, 11549, 12539, 12919, 13009, 13933, 13999, 14249, 14563, 15329, 15643, 15733, 15889, 16139, 16229, 16363, 16453, 16633, 16901, 17419, 17599, 17959, 18119, 18253, 18521, 18523, 19421, 19423, 19961, 20549, 20639, 20773, 21493, 22483, 22573, 22619, 23203, 23293, 23563, 23743, 23833, 24373, 24419, 24979, 26263, 26711, 26891, 27409, 27791, 28309, 29209, 29389, 29569, 30089, 30269, 30493, 30853, 31079, 31393, 32563, 32719, 32833, 33149, 33329, 33619, 35083, 35509, 35533, 35801, 36343, 36791, 37309, 37691, 37781, 38569, 38749, 39043, 39827, 39829, 40529, 41203, 41519, 42283, 42463, 42643, 43049, 43319, 43543, 43609, 43789, 44129, 44533, 44621, 44623, 45119, 45319, 45343, 45589, 46309, 47389, 47659, 48311, 48649, 49033, 49121, 49123, 49279, 49369, 49391, 49549, 51059, 51239, 51419, 52183, 52363, 52543, 52901, 53173, 54499, 55219, 55333, 56209, 56479, 56501, 57221, 57223, 57559, 58369, 58391, 58907, 59359, 59471, 59627, 59629, 60103, 60889, 62129, 62981, 63029, 63589, 64153, 64579, 64781, 65839, 65927, 65929, 66109, 66851, 67189, 67211, 67931, 68111, 68449, 68897, 69191, 69259, 69931, 70139, 70183, 70879, 71263, 71711, 72253, 73063, 73849, 74411, 75401, 76369, 77269, 78191, 78439, 78887, 78977, 79631, 79697, 80779, 81701, 81971, 82219, 82759, 83233, 84221, 84223, 85817, 85931, 86111, 86291, 86627, 86629, 87641, 88339, 88607, 89597, 89821, 90073, 90679, 91153, 92569, 92681, 92861, 93133, 93491, 93559, 93761, 94007, 95089, 95987, 96797, 97159, 97607, 97787, 98011, 98731, 98867, 98911, 99139, 99721, 99991, 101279, 101503, 102763, 103393, 103843, 104383, 104473, 106319, 106453, 106543, 107509, 108499, 108791, 108881, 108949, 109849, 110503, 110729, 110819, 111269, 111493, 112573, 113159, 113383, 113719, 114643, 114799, 115319, 115363.

Some larger examples :