Search a number
twin primes  and  weak prime

First numbers that belong to both sets:

3, 7, 13, 19, 31, 43, 61, 73, 103, 109, 139, 151, 181, 193, 199, 229, 241, 271, 283, 313, 349, 421, 433, 463, 523, 571, 601, 619, 643, 661, 811, 823, 829, 859, 883, 1021, 1033, 1051, 1063, 1093, 1153, 1231, 1279, 1291, 1303, 1321, 1429, 1453, 1483, 1489, 1609, 1621, 1669, 1699, 1723, 1789, 1873, 1879, 1933, 1951, 1999, 2029, 2083, 2089, 2113, 2131, 2143, 2239, 2269, 2311, 2341, 2383, 2551, 2593, 2659, 2689, 2713, 2731, 2791, 2803, 2971, 3001, 3121, 3169, 3253, 3259, 3301, 3331, 3361, 3373, 3391, 3463, 3469, 3529, 3541, 3559, 3583, 3673, 3769, 3823, 3853, 3919, 3931, 4003, 4021, 4051, 4093, 4129, 4159, 4219, 4231, 4243, 4261, 4273, 4339, 4423, 4483, 4519, 4549, 4639, 4651, 4723, 4789, 4801, 4933, 4969, 5011, 5023, 5101, 5233, 5281, 5419, 5443, 5479, 5503, 5521, 5641, 5653, 5659, 5743, 5851, 5869, 5881, 6091, 6133, 6199, 6271, 6301, 6361, 6451, 6553, 6571, 6661, 6691, 6703, 6763, 6781, 6793, 6829, 6871, 6949, 6961, 7129, 7213, 7309, 7333, 7351, 7459, 7489, 7549, 7561, 7591, 7759, 7879, 7951, 8011, 8089, 8221, 8233, 8293, 8389, 8431, 8539, 8599, 8629, 8821, 8839, 8863, 8971, 9001, 9013, 9043, 9241, 9283, 9343, 9421, 9433, 9439, 9463, 9631, 9679, 9721, 9769, 9859, 9931, 10009, 10039, 10069, 10093, 10141, 10273, 10303, 10333, 10429, 10459, 10501, 10531, 10711, 10861, 10891, 10939, 11059, 11071, 11119, 11161, 11173, 11353, 11491, 11551, 11701, 11719, 11779, 11833, 11941, 11971, 12043, 12073, 12109, 12163, 12241, 12253, 12379, 12541, 12613, 12823, 12919, 13003, 13009, 13219, 13339, 13399, 13681, 13693, 13711, 13723, 13759, 13831, 13879, 13903, 13933, 13999, 14011, 14083, 14251, 14323, 14389, 14449, 14551, 14563, 14593, 14629, 14869, 15139, 15271, 15289, 15331, 15361, 15583, 15643, 15649.

Some larger examples :