A027701 Primes with even number of 1's in binary expansion such that next prime also has even number of 1's.

3, 23, 83, 139, 257, 263, 277, 337, 347, 349, 353, 383, 467, 503, 593, 683, 811, 839, 853, 887, 977, 1091, 1093, 1097, 1217, 1223, 1283, 1303, 1307, 1381, 1399, 1427, 1429, 1433, 1487, 1499, 1511, 1553, 1601, 1613, 1619, 1723, 1811, 1847, 1871, 1879