A104735 Numbers n such that n and digital sum of n-th prime are primes.

2, 3, 5, 13, 19, 23, 37, 41, 43, 53, 61, 67, 71, 79, 89, 109, 131, 137, 139, 157, 167, 173, 199, 211, 227, 233, 239, 241, 269, 271, 277, 307, 311, 313, 331, 337, 349, 379, 383, 389, 397, 409, 433, 443, 449, 461, 463, 509, 523, 547, 557, 569, 571, 593, 599, 601