A087386 a(n) = smallest prime == 1 (mod P(n)) where P(n) is the n-th Palindrome.

2, 3, 7, 5, 11, 7, 29, 17, 19, 23, 23, 67, 89, 331, 67, 463, 89, 199, 607, 223, 727, 263, 283, 907, 967, 2053, 1087, 383, 607, 1061, 223, 233, 727, 757, 263, 1361, 283, 293, 607, 1879, 647, 1999, 1373, 4943, 727, 1493, 4597, 787, 809, 829, 1697, 1303, 1777