A072577 Numbers n such that n and the n-th prime have the same number of 0's in their binary representation.

5, 6, 20, 22, 24, 28, 31, 32, 34, 37, 41, 42, 49, 50, 67, 68, 81, 82, 84, 88, 89, 93, 94, 138, 139, 140, 141, 142, 143, 147, 151, 157, 165, 192, 194, 198, 200, 202, 206, 207, 232, 236, 241, 262, 265, 270, 271, 284, 285, 295, 301, 328, 329, 332, 333, 337