3 × 5 × 7 × 19 × 281
1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 281, 285, 399, 665, 843, 1405, 1967, 1995, 4215, 5339, 5901, 9835, 16017, 26695, 29505, 37373, 80085, 112119, 186865 and 560595
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.