3 × 1597 × 3571 × 63443
1, 3, 1597, 3571, 4791, 10713, 63443, 190329, 5702887, 17108661, 101318471, 226554953, 303955413, 679664859, 361808259941 and 1085424779823
No.
Its nearest Fibonacci number neighbors are 956722026041 and 1548008755920.