7 × 13 × 19 × 37 × 193
1, 7, 13, 19, 37, 91, 133, 193, 247, 259, 481, 703, 1351, 1729, 2509, 3367, 3667, 4921, 7141, 9139, 17563, 25669, 47671, 49987, 63973, 92833, 135679, 333697, 649831, 949753, 1763827 and 12346789
No.
Its nearest Fibonacci number neighbors are 9227465 and 14930352.