A034914 Primes such that q=(k*a(n)+1)/(a(n)-k), is prime for some k.

3, 7, 13, 17, 23, 31, 41, 43, 47, 53, 67, 73, 79, 83, 113, 137, 139, 151, 157, 163, 173, 193, 227, 257, 293, 307, 317, 337, 349, 353, 379, 401, 419, 457, 463, 467, 479, 487, 499, 509, 541, 557, 577, 593, 599, 613, 617, 643, 653, 677, 691, 727, 733, 769