A137700 Smallest k such that the k-th prime has exactly n distinct representations as arithmetic mean of two primes.

1, 3, 5, 7, 12, 16, 24, 20, 26, 41, 33, 44, 51, 55, 54, 79, 64, 74, 69, 88, 121, 92, 101, 109, 113, 116, 124, 155, 152, 137, 144, 140, 160, 174, 165, 209, 197, 195, 201, 200, 206, 218, 251, 238, 229, 239, 230, 244, 236, 267, 295, 281, 299, 301, 307, 312, 313, 325