A087384 a(n) = smallest prime == 1 (mod F(n)) where F(n) is the n-th Fibonacci number.

2, 2, 3, 7, 11, 17, 53, 43, 103, 331, 179, 433, 467, 5279, 1831, 5923, 6389, 7753, 8363, 27061, 21893, 35423, 1146281, 92737, 3001001, 1213931, 392837, 1906867, 4113833, 4992241, 5385077, 17426473, 14098313, 91246193, 110729581, 44791057